TSTP Solution File: CSR151^3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR151^3 : TPTP v8.1.2. Released v5.3.0.
% 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 3.94s 3.64s
% Output   : CNFRefutation 3.94s
% 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_178,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(decl_1234,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(decl_1451,type,
    lBill_THFTYPE_i: $i ).

thf(decl_1452,type,
    lMary_THFTYPE_i: $i ).

thf(decl_1453,type,
    lSue_THFTYPE_i: $i ).

thf(decl_1454,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_1455,type,
    n2009_THFTYPE_i: $i ).

thf(ax,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.ZXDh1izwXu/E---3.1_9405.p',ax) ).

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.ZXDh1izwXu/E---3.1_9405.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]) ).

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
% 1.52/1.56  % Problem    : CSR151^3 : TPTP v8.1.2. Released v5.3.0.
% 1.52/1.57  % Command    : run_E %s %d THM
% 1.59/1.78  % Computer : n009.cluster.edu
% 1.59/1.78  % Model    : x86_64 x86_64
% 1.59/1.78  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.59/1.78  % Memory   : 8042.1875MB
% 1.59/1.78  % OS       : Linux 3.10.0-693.el7.x86_64
% 1.59/1.78  % CPULimit   : 300
% 1.59/1.78  % WCLimit    : 300
% 1.59/1.78  % DateTime   : Fri May  3 14:21:24 EDT 2024
% 1.59/1.78  % CPUTime    : 
% 3.15/3.34  Running higher-order theorem proving
% 3.15/3.34  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.ZXDh1izwXu/E---3.1_9405.p
% 3.94/3.64  # Version: 3.1.0-ho
% 3.94/3.64  # Preprocessing class: HMLLSMSLSSMCHFA.
% 3.94/3.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.94/3.64  # Starting new_ho_10 with 1500s (5) cores
% 3.94/3.64  # Starting sh5l with 300s (1) cores
% 3.94/3.64  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 3.94/3.64  # Starting lpo1_def_fix with 300s (1) cores
% 3.94/3.64  # ehoh_best_sine_rwall with pid 9491 completed with status 0
% 3.94/3.64  # Result found by ehoh_best_sine_rwall
% 3.94/3.64  # Preprocessing class: HMLLSMSLSSMCHFA.
% 3.94/3.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.94/3.64  # Starting new_ho_10 with 1500s (5) cores
% 3.94/3.64  # Starting sh5l with 300s (1) cores
% 3.94/3.64  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 3.94/3.64  # SinE strategy is gf500_gu_R04_F100_L20000
% 3.94/3.64  # Search class: HGHSM-SMLM31-MHFFFFBN
% 3.94/3.64  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.94/3.64  # Starting sh3 with 163s (1) cores
% 3.94/3.64  # sh3 with pid 9493 completed with status 0
% 3.94/3.64  # Result found by sh3
% 3.94/3.64  # Preprocessing class: HMLLSMSLSSMCHFA.
% 3.94/3.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.94/3.64  # Starting new_ho_10 with 1500s (5) cores
% 3.94/3.64  # Starting sh5l with 300s (1) cores
% 3.94/3.64  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 3.94/3.64  # SinE strategy is gf500_gu_R04_F100_L20000
% 3.94/3.64  # Search class: HGHSM-SMLM31-MHFFFFBN
% 3.94/3.64  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.94/3.64  # Starting sh3 with 163s (1) cores
% 3.94/3.64  # Preprocessing time       : 0.033 s
% 3.94/3.64  # Presaturation interreduction done
% 3.94/3.64  
% 3.94/3.64  # Proof found!
% 3.94/3.64  # SZS status Theorem
% 3.94/3.64  # SZS output start CNFRefutation
% See solution above
% 3.94/3.64  # Parsed axioms                        : 5014
% 3.94/3.64  # Removed by relevancy pruning/SinE    : 3073
% 3.94/3.64  # Initial clauses                      : 2829
% 3.94/3.64  # Removed in clause preprocessing      : 181
% 3.94/3.64  # Initial clauses in saturation        : 2648
% 3.94/3.64  # Processed clauses                    : 24
% 3.94/3.64  # ...of these trivial                  : 0
% 3.94/3.64  # ...subsumed                          : 1
% 3.94/3.64  # ...remaining for further processing  : 22
% 3.94/3.64  # Other redundant clauses eliminated   : 1
% 3.94/3.64  # Clauses deleted for lack of memory   : 0
% 3.94/3.64  # Backward-subsumed                    : 3
% 3.94/3.64  # Backward-rewritten                   : 2
% 3.94/3.64  # Generated clauses                    : 1
% 3.94/3.64  # ...of the previous two non-redundant : 3
% 3.94/3.64  # ...aggressively subsumed             : 0
% 3.94/3.64  # Contextual simplify-reflections      : 2
% 3.94/3.65  # Paramodulations                      : 0
% 3.94/3.65  # Factorizations                       : 0
% 3.94/3.65  # NegExts                              : 0
% 3.94/3.65  # Equation resolutions                 : 1
% 3.94/3.65  # Disequality decompositions           : 0
% 3.94/3.65  # Total rewrite steps                  : 4
% 3.94/3.65  # ...of those cached                   : 2
% 3.94/3.65  # Propositional unsat checks           : 0
% 3.94/3.65  #    Propositional check models        : 0
% 3.94/3.65  #    Propositional check unsatisfiable : 0
% 3.94/3.65  #    Propositional clauses             : 0
% 3.94/3.65  #    Propositional clauses after purity: 0
% 3.94/3.65  #    Propositional unsat core size     : 0
% 3.94/3.65  #    Propositional preprocessing time  : 0.000
% 3.94/3.65  #    Propositional encoding time       : 0.000
% 3.94/3.65  #    Propositional solver time         : 0.000
% 3.94/3.65  #    Success case prop preproc time    : 0.000
% 3.94/3.65  #    Success case prop encoding time   : 0.000
% 3.94/3.65  #    Success case prop solver time     : 0.000
% 3.94/3.65  # Current number of processed clauses  : 16
% 3.94/3.65  #    Positive orientable unit clauses  : 9
% 3.94/3.65  #    Positive unorientable unit clauses: 0
% 3.94/3.65  #    Negative unit clauses             : 2
% 3.94/3.65  #    Non-unit-clauses                  : 5
% 3.94/3.65  # Current number of unprocessed clauses: 2627
% 3.94/3.65  # ...number of literals in the above   : 5792
% 3.94/3.65  # Current number of archived formulas  : 0
% 3.94/3.65  # Current number of archived clauses   : 5
% 3.94/3.65  # Clause-clause subsumption calls (NU) : 23
% 3.94/3.65  # Rec. Clause-clause subsumption calls : 21
% 3.94/3.65  # Non-unit clause-clause subsumptions  : 3
% 3.94/3.65  # Unit Clause-clause subsumption calls : 4
% 3.94/3.65  # Rewrite failures with RHS unbound    : 0
% 3.94/3.65  # BW rewrite match attempts            : 2
% 3.94/3.65  # BW rewrite match successes           : 2
% 3.94/3.65  # Condensation attempts                : 0
% 3.94/3.65  # Condensation successes               : 0
% 3.94/3.65  # Termbank termtop insertions          : 160761
% 3.94/3.65  # Search garbage collected termcells   : 36261
% 3.94/3.65  
% 3.94/3.65  # -------------------------------------------------
% 3.94/3.65  # User time                : 0.185 s
% 3.94/3.65  # System time              : 0.016 s
% 3.94/3.65  # Total time               : 0.201 s
% 3.94/3.65  # Maximum resident set size: 13636 pages
% 3.94/3.65  
% 3.94/3.65  # -------------------------------------------------
% 3.94/3.65  # User time                : 0.275 s
% 3.94/3.65  # System time              : 0.024 s
% 3.94/3.65  # Total time               : 0.298 s
% 3.94/3.65  # Maximum resident set size: 5872 pages
% 3.94/3.65  % E---3.1 exiting
% 3.94/3.65  % E exiting
%------------------------------------------------------------------------------