TSTP Solution File: CSR151^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR151^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 07:34:43 EDT 2024

% Result   : Theorem 0.37s 0.55s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (   3 unt;   7 typ;   0 def)
%            Number of atoms       :   80 (   0 equ;   0 cnn)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  211 (  30   ~;  26   |;  15   &; 140   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% 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(ax_025,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3HAVN3CLvh/E---3.1_15266.p',ax_025) ).

thf(con,conjecture,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3HAVN3CLvh/E---3.1_15266.p',con) ).

thf(c_0_2,axiom,
    ( ( ~ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
          & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[ax_025]) ).

thf(c_0_3,negated_conjecture,
    ~ ( ( ~ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
            & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          & ( likes_THFTYPE_IiioI @ 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_4,plain,
    ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( likes_THFTYPE_IiioI @ lSue_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 ) )
    & ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

thf(c_0_5,negated_conjecture,
    ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
      | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
      | ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( likes_THFTYPE_IiioI @ 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(fof_nnf,[status(thm)],[c_0_3])])]) ).

thf(c_0_6,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,negated_conjecture,
    ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    | ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_9,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(csr,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_10,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_11,negated_conjecture,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_12,negated_conjecture,
    ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
    | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).

thf(c_0_13,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(csr,[status(thm)],[c_0_10,c_0_11]) ).

thf(c_0_14,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
    | ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_15,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

thf(c_0_16,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_9]),c_0_13])]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.15  % Problem    : CSR151^2 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.16  % Command    : run_E %s %d THM
% 0.16/0.38  % Computer : n009.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Fri May  3 15:20:23 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.23/0.53  Running higher-order theorem proving
% 0.23/0.53  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.3HAVN3CLvh/E---3.1_15266.p
% 0.37/0.55  # Version: 3.1.0-ho
% 0.37/0.55  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.37/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.55  # Starting new_ho_10 with 1500s (5) cores
% 0.37/0.55  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.37/0.55  # Starting full_lambda_6 with 300s (1) cores
% 0.37/0.55  # Starting full_lambda_9 with 300s (1) cores
% 0.37/0.55  # new_ho_10 with pid 15347 completed with status 0
% 0.37/0.55  # Result found by new_ho_10
% 0.37/0.55  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.37/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.55  # Starting new_ho_10 with 1500s (5) cores
% 0.37/0.55  # No SInE strategy applied
% 0.37/0.55  # Search class: HGHSF-FFMM21-SHFFFFBN
% 0.37/0.55  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.37/0.55  # Starting new_ho_10 with 901s (1) cores
% 0.37/0.55  # Starting sh5l with 151s (1) cores
% 0.37/0.55  # Starting ehoh_best_sine_rwall with 151s (1) cores
% 0.37/0.55  # Starting lpo1_def_fix with 151s (1) cores
% 0.37/0.55  # Starting ehoh_best8_lambda with 146s (1) cores
% 0.37/0.55  # lpo1_def_fix with pid 15354 completed with status 0
% 0.37/0.55  # Result found by lpo1_def_fix
% 0.37/0.55  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.37/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.55  # Starting new_ho_10 with 1500s (5) cores
% 0.37/0.55  # No SInE strategy applied
% 0.37/0.55  # Search class: HGHSF-FFMM21-SHFFFFBN
% 0.37/0.55  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.37/0.55  # Starting new_ho_10 with 901s (1) cores
% 0.37/0.55  # Starting sh5l with 151s (1) cores
% 0.37/0.55  # Starting ehoh_best_sine_rwall with 151s (1) cores
% 0.37/0.55  # Starting lpo1_def_fix with 151s (1) cores
% 0.37/0.55  # Preprocessing time       : 0.002 s
% 0.37/0.55  # Presaturation interreduction done
% 0.37/0.55  
% 0.37/0.55  # Proof found!
% 0.37/0.55  # SZS status Theorem
% 0.37/0.55  # SZS output start CNFRefutation
% See solution above
% 0.37/0.55  # Parsed axioms                        : 279
% 0.37/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.37/0.55  # Initial clauses                      : 301
% 0.37/0.55  # Removed in clause preprocessing      : 96
% 0.37/0.55  # Initial clauses in saturation        : 205
% 0.37/0.55  # Processed clauses                    : 25
% 0.37/0.55  # ...of these trivial                  : 2
% 0.37/0.55  # ...subsumed                          : 1
% 0.37/0.55  # ...remaining for further processing  : 21
% 0.37/0.55  # Other redundant clauses eliminated   : 0
% 0.37/0.55  # Clauses deleted for lack of memory   : 0
% 0.37/0.55  # Backward-subsumed                    : 3
% 0.37/0.55  # Backward-rewritten                   : 2
% 0.37/0.55  # Generated clauses                    : 0
% 0.37/0.55  # ...of the previous two non-redundant : 2
% 0.37/0.55  # ...aggressively subsumed             : 0
% 0.37/0.55  # Contextual simplify-reflections      : 2
% 0.37/0.55  # Paramodulations                      : 0
% 0.37/0.55  # Factorizations                       : 0
% 0.37/0.55  # NegExts                              : 0
% 0.37/0.55  # Equation resolutions                 : 0
% 0.37/0.55  # Disequality decompositions           : 0
% 0.37/0.55  # Total rewrite steps                  : 6
% 0.37/0.55  # ...of those cached                   : 4
% 0.37/0.55  # Propositional unsat checks           : 0
% 0.37/0.55  #    Propositional check models        : 0
% 0.37/0.55  #    Propositional check unsatisfiable : 0
% 0.37/0.55  #    Propositional clauses             : 0
% 0.37/0.55  #    Propositional clauses after purity: 0
% 0.37/0.55  #    Propositional unsat core size     : 0
% 0.37/0.55  #    Propositional preprocessing time  : 0.000
% 0.37/0.55  #    Propositional encoding time       : 0.000
% 0.37/0.55  #    Propositional solver time         : 0.000
% 0.37/0.55  #    Success case prop preproc time    : 0.000
% 0.37/0.55  #    Success case prop encoding time   : 0.000
% 0.37/0.55  #    Success case prop solver time     : 0.000
% 0.37/0.55  # Current number of processed clauses  : 16
% 0.37/0.55  #    Positive orientable unit clauses  : 13
% 0.37/0.55  #    Positive unorientable unit clauses: 0
% 0.37/0.55  #    Negative unit clauses             : 1
% 0.37/0.55  #    Non-unit-clauses                  : 2
% 0.37/0.55  # Current number of unprocessed clauses: 182
% 0.37/0.55  # ...number of literals in the above   : 258
% 0.37/0.55  # Current number of archived formulas  : 0
% 0.37/0.55  # Current number of archived clauses   : 5
% 0.37/0.55  # Clause-clause subsumption calls (NU) : 10
% 0.37/0.55  # Rec. Clause-clause subsumption calls : 9
% 0.37/0.55  # Non-unit clause-clause subsumptions  : 4
% 0.37/0.55  # Unit Clause-clause subsumption calls : 4
% 0.37/0.55  # Rewrite failures with RHS unbound    : 0
% 0.37/0.55  # BW rewrite match attempts            : 2
% 0.37/0.55  # BW rewrite match successes           : 2
% 0.37/0.55  # Condensation attempts                : 0
% 0.37/0.55  # Condensation successes               : 0
% 0.37/0.55  # Termbank termtop insertions          : 9797
% 0.37/0.55  # Search garbage collected termcells   : 1394
% 0.37/0.55  
% 0.37/0.55  # -------------------------------------------------
% 0.37/0.55  # User time                : 0.007 s
% 0.37/0.55  # System time              : 0.004 s
% 0.37/0.55  # Total time               : 0.011 s
% 0.37/0.55  # Maximum resident set size: 2460 pages
% 0.37/0.55  
% 0.37/0.55  # -------------------------------------------------
% 0.37/0.55  # User time                : 0.025 s
% 0.37/0.55  # System time              : 0.011 s
% 0.37/0.55  # Total time               : 0.036 s
% 0.37/0.55  # Maximum resident set size: 1928 pages
% 0.37/0.55  % E---3.1 exiting
% 0.37/0.56  % E exiting
%------------------------------------------------------------------------------