TSTP Solution File: CSR121^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR121^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 : Mon May 20 19:16:32 EDT 2024

% Result   : Theorem 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% 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       :   79 (   0 equ;   0 cnn)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  218 (  38   ~;  29   |;  12   &; 139   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   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   :    7 (   0   ^   5   !;   2   ?;   7   :)

% 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_049,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/benchmark/theBenchmark.p',ax_049) ).

thf(con,conjecture,
    ? [X5: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X5 )
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(c_0_2,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 )
          | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_049])]) ).

thf(c_0_3,negated_conjecture,
    ~ ? [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 ) )
        & ( ( ( 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)],[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,
    ! [X130: $i] :
      ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X130 )
        | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X130 )
        | ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X130 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X130 ) )
      & ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X130 )
        | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X130 )
        | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X130 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X130 ) )
      & ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X130 )
        | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X130 )
        | ~ ( 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_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,
    ! [X1: $i] :
      ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,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_9,negated_conjecture,
    ! [X1: $i] :
      ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_10,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_11,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(csr,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_12,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(csr,[status(thm)],[c_0_8,c_0_9]) ).

thf(c_0_13,negated_conjecture,
    ! [X1: $i] :
      ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
      | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_14,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

thf(c_0_15,negated_conjecture,
    ! [X1: $i] :
      ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
      | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

thf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_12]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR121^2 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 01:03:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  Running higher-order theorem proving
% 0.21/0.48  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/benchmark/theBenchmark.p
% 0.21/0.51  # Version: 3.1.0-ho
% 0.21/0.51  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.51  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.51  # Starting full_lambda_6 with 300s (1) cores
% 0.21/0.51  # Starting full_lambda_9 with 300s (1) cores
% 0.21/0.51  # full_lambda_9 with pid 7646 completed with status 0
% 0.21/0.51  # Result found by full_lambda_9
% 0.21/0.51  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.51  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.51  # Starting full_lambda_6 with 300s (1) cores
% 0.21/0.51  # Starting full_lambda_9 with 300s (1) cores
% 0.21/0.51  # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.21/0.51  # Search class: HGHSF-FFMM21-SHFFFFBN
% 0.21/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting new_ho_10 with 163s (1) cores
% 0.21/0.51  # new_ho_10 with pid 7647 completed with status 0
% 0.21/0.51  # Result found by new_ho_10
% 0.21/0.51  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.51  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.51  # Starting full_lambda_6 with 300s (1) cores
% 0.21/0.51  # Starting full_lambda_9 with 300s (1) cores
% 0.21/0.51  # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.21/0.51  # Search class: HGHSF-FFMM21-SHFFFFBN
% 0.21/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting new_ho_10 with 163s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.002 s
% 0.21/0.51  # Presaturation interreduction done
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Theorem
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 279
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 148
% 0.21/0.51  # Initial clauses                      : 150
% 0.21/0.51  # Removed in clause preprocessing      : 7
% 0.21/0.51  # Initial clauses in saturation        : 143
% 0.21/0.51  # Processed clauses                    : 149
% 0.21/0.51  # ...of these trivial                  : 3
% 0.21/0.51  # ...subsumed                          : 3
% 0.21/0.51  # ...remaining for further processing  : 143
% 0.21/0.51  # Other redundant clauses eliminated   : 0
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 1
% 0.21/0.51  # Backward-rewritten                   : 1
% 0.21/0.51  # Generated clauses                    : 1
% 0.21/0.51  # ...of the previous two non-redundant : 1
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 2
% 0.21/0.51  # Paramodulations                      : 1
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 0
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 9
% 0.21/0.51  # ...of those cached                   : 6
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 5
% 0.21/0.51  #    Positive orientable unit clauses  : 3
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 0
% 0.21/0.51  #    Non-unit-clauses                  : 2
% 0.21/0.51  # Current number of unprocessed clauses: 131
% 0.21/0.51  # ...number of literals in the above   : 190
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 138
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 378
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 194
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 7
% 0.21/0.51  # Unit Clause-clause subsumption calls : 5
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 1
% 0.21/0.51  # BW rewrite match successes           : 1
% 0.21/0.51  # Condensation attempts                : 149
% 0.21/0.51  # Condensation successes               : 1
% 0.21/0.51  # Termbank termtop insertions          : 7546
% 0.21/0.51  # Search garbage collected termcells   : 1344
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.011 s
% 0.21/0.51  # System time              : 0.006 s
% 0.21/0.51  # Total time               : 0.017 s
% 0.21/0.51  # Maximum resident set size: 2372 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.016 s
% 0.21/0.51  # System time              : 0.008 s
% 0.21/0.51  # Total time               : 0.024 s
% 0.21/0.51  # Maximum resident set size: 1924 pages
% 0.21/0.51  % E---3.1 exiting
% 0.21/0.51  % E exiting
%------------------------------------------------------------------------------