TSTP Solution File: CSR129^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR129^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 07:34:34 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   30 (   4 unt;   7 typ;   0 def)
%            Number of atoms       :   87 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  281 (  47   ~;  38   |;  17   &; 177   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^  11   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_28,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(decl_37,type,
    lBill_THFTYPE_i: $i ).

thf(decl_42,type,
    lMary_THFTYPE_i: $i ).

thf(decl_45,type,
    lSue_THFTYPE_i: $i ).

thf(decl_52,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(decl_53,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_57,type,
    n2009_THFTYPE_i: $i ).

thf(ax_011,axiom,
    ! [X13: $i,X14: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ X13 @ ~ X14 )
     => ~ ( holdsDuring_THFTYPE_IiooI @ X13 @ X14 ) ),
    file('/export/starexec/sandbox/tmp/tmp.mmqYxkaP3v/E---3.1_24084.p',ax_011) ).

thf(ax_008,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
    file('/export/starexec/sandbox/tmp/tmp.mmqYxkaP3v/E---3.1_24084.p',ax_008) ).

thf(con,conjecture,
    ? [X33: $i > $i > $o] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( X33 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( X33 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.mmqYxkaP3v/E---3.1_24084.p',con) ).

thf(ax_005,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/tmp/tmp.mmqYxkaP3v/E---3.1_24084.p',ax_005) ).

thf(c_0_4,plain,
    ! [X13: $i,X14: $o] :
      ( ( ( X14
          | ( holdsDuring_THFTYPE_IiooI @ X13 @ $true ) )
        & ( ~ X14
          | ( holdsDuring_THFTYPE_IiooI @ X13 @ $false ) ) )
     => ~ ( holdsDuring_THFTYPE_IiooI @ X13 @ X14 ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_011])]) ).

thf(c_0_5,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_008])]) ).

thf(c_0_6,negated_conjecture,
    ~ ? [X33: $i > $i > $o] :
        ( ( ~ ( ( X33 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              & ( X33 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
        & ( ( ( X33 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
            & ( X33 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).

thf(c_0_7,plain,
    ! [X38: $i,X39: $o] :
      ( ( X39
        | ~ X39
        | ~ ( holdsDuring_THFTYPE_IiooI @ X38 @ X39 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ X38 @ $false )
        | ~ X39
        | ~ ( holdsDuring_THFTYPE_IiooI @ X38 @ X39 ) )
      & ( X39
        | ~ ( holdsDuring_THFTYPE_IiooI @ X38 @ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ X38 @ X39 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ X38 @ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ X38 @ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ X38 @ X39 ) ) ),
    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_8,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

thf(c_0_9,axiom,
    ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[ax_005]) ).

thf(c_0_10,negated_conjecture,
    ! [X37: $i > $i > $o] :
      ( ( ~ ( X37 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        | ~ ( X37 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        | ( X37 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( X37 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      & ( ~ ( X37 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        | ~ ( X37 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        | ( X37 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( X37 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      & ( ~ ( X37 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        | ~ ( X37 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $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,
    ! [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_7])])]) ).

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

thf(c_0_13,plain,
    ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_9]) ).

thf(c_0_14,negated_conjecture,
    ! [X33: $i > $i > $o] :
      ( ( X33 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_15,plain,
    ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
    | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_16,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
    | ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

thf(c_0_17,negated_conjecture,
    ! [X33: $i > $i > $o] :
      ( ( X33 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
    inference(spm,[status(thm)],[c_0_14,c_0_12]) ).

thf(c_0_18,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
    | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_19,plain,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

thf(c_0_20,negated_conjecture,
    ! [X33: $i > $i > $o] :
      ( ~ ( X33 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( X33 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_21,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
    inference(sr,[status(thm)],[c_0_18,c_0_19]) ).

thf(c_0_22,negated_conjecture,
    $false,
    inference(flex_resolve,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : CSR129^2 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 15:16:22 EDT 2024
% 0.20/0.35  % CPUTime    : 
% 0.20/0.48  Running higher-order theorem proving
% 0.20/0.48  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.mmqYxkaP3v/E---3.1_24084.p
% 0.20/0.50  # Version: 3.1.0-ho
% 0.20/0.50  # Preprocessing class: HSLSSMSMSSSNSSA.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting new_ho_10_unif with 1500s (5) cores
% 0.20/0.50  # Starting sh3l with 300s (1) cores
% 0.20/0.50  # Starting new_ho_6 with 300s (1) cores
% 0.20/0.50  # Starting lpo6_lambda_fix with 300s (1) cores
% 0.20/0.50  # sh3l with pid 24165 completed with status 0
% 0.20/0.50  # Result found by sh3l
% 0.20/0.50  # Preprocessing class: HSLSSMSMSSSNSSA.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting new_ho_10_unif with 1500s (5) cores
% 0.20/0.50  # Starting sh3l with 300s (1) cores
% 0.20/0.50  # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.20/0.50  # Search class: HGHNF-FFSM11-SSSFFSBN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting new_ho_10 with 163s (1) cores
% 0.20/0.50  # new_ho_10 with pid 24168 completed with status 0
% 0.20/0.50  # Result found by new_ho_10
% 0.20/0.50  # Preprocessing class: HSLSSMSMSSSNSSA.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting new_ho_10_unif with 1500s (5) cores
% 0.20/0.50  # Starting sh3l with 300s (1) cores
% 0.20/0.50  # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.20/0.50  # Search class: HGHNF-FFSM11-SSSFFSBN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting new_ho_10 with 163s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.002 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 112
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 104
% 0.20/0.50  # Initial clauses                      : 22
% 0.20/0.50  # Removed in clause preprocessing      : 3
% 0.20/0.50  # Initial clauses in saturation        : 19
% 0.20/0.50  # Processed clauses                    : 39
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 8
% 0.20/0.50  # ...remaining for further processing  : 30
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 7
% 0.20/0.50  # Backward-rewritten                   : 4
% 0.20/0.50  # Generated clauses                    : 23
% 0.20/0.50  # ...of the previous two non-redundant : 23
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 1
% 0.20/0.50  # Paramodulations                      : 22
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 4
% 0.20/0.50  # ...of those cached                   : 2
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 8
% 0.20/0.50  #    Positive orientable unit clauses  : 2
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 1
% 0.20/0.50  #    Non-unit-clauses                  : 5
% 0.20/0.50  # Current number of unprocessed clauses: 13
% 0.20/0.50  # ...number of literals in the above   : 26
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 22
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 17
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 16
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 11
% 0.20/0.50  # Unit Clause-clause subsumption calls : 9
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 2
% 0.20/0.50  # BW rewrite match successes           : 2
% 0.20/0.50  # Condensation attempts                : 39
% 0.20/0.50  # Condensation successes               : 1
% 0.20/0.50  # Termbank termtop insertions          : 2068
% 0.20/0.50  # Search garbage collected termcells   : 435
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.005 s
% 0.20/0.50  # System time              : 0.003 s
% 0.20/0.50  # Total time               : 0.008 s
% 0.20/0.50  # Maximum resident set size: 1940 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.009 s
% 0.20/0.50  # System time              : 0.004 s
% 0.20/0.50  # Total time               : 0.013 s
% 0.20/0.50  # Maximum resident set size: 1812 pages
% 0.20/0.50  % E---3.1 exiting
% 0.20/0.51  % E exiting
%------------------------------------------------------------------------------