TSTP Solution File: CSR123^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR123^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 19:16:33 EDT 2024

% Result   : Theorem 0.15s 0.43s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   50 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  190 (  31   ~;  22   |;  11   &; 126   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^  14   !;   6   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(decl_23,type,
    lBen_THFTYPE_i: $i ).

thf(decl_24,type,
    lBill_THFTYPE_i: $i ).

thf(decl_26,type,
    lSue_THFTYPE_i: $i ).

thf(decl_27,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(decl_28,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_29,type,
    n2009_THFTYPE_i: $i ).

thf(con,conjecture,
    ? [X1: $i > $i > $o,X2: $i,X3: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( X1 @ lSue_THFTYPE_i @ X2 )
        & ~ ( X1 @ lSue_THFTYPE_i @ X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(ax_002,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).

thf(ax,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).

thf(c_0_3,negated_conjecture,
    ~ ? [X1: $i > $i > $o,X2: $i,X3: $i] :
        ( ( ~ ( ( X1 @ lSue_THFTYPE_i @ X2 )
              & ~ ( X1 @ lSue_THFTYPE_i @ X3 ) )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
        & ( ( ( X1 @ lSue_THFTYPE_i @ X2 )
            & ~ ( X1 @ lSue_THFTYPE_i @ X3 ) )
          | ( 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 @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_002])]) ).

thf(c_0_5,negated_conjecture,
    ! [X7: $i > $i > $o,X8: $i,X9: $i] :
      ( ( ~ ( X7 @ lSue_THFTYPE_i @ X8 )
        | ( X7 @ lSue_THFTYPE_i @ X9 )
        | ( X7 @ lSue_THFTYPE_i @ X8 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( X7 @ lSue_THFTYPE_i @ X8 ) )
      & ( ~ ( X7 @ lSue_THFTYPE_i @ X8 )
        | ( X7 @ lSue_THFTYPE_i @ X9 )
        | ~ ( X7 @ lSue_THFTYPE_i @ X9 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ~ ( X7 @ lSue_THFTYPE_i @ X9 ) )
      & ( ~ ( X7 @ lSue_THFTYPE_i @ X8 )
        | ( X7 @ lSue_THFTYPE_i @ X9 )
        | ~ ( 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 @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ! [X1: $i > $i > $o,X2: $i] :
      ( ( X1 @ lSue_THFTYPE_i @ X2 )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,negated_conjecture,
    ! [X1: $i > $i > $o,X2: $i] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
      | ~ ( X1 @ lSue_THFTYPE_i @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_9,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
    | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_10,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
    inference(csr,[status(thm)],[c_0_7,c_0_8]) ).

thf(c_0_11,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_12,plain,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
    inference(sr,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_13,negated_conjecture,
    ! [X1: $i > $i > $o,X3: $i,X2: $i] :
      ( ( X1 @ lSue_THFTYPE_i @ X3 )
      | ~ ( X1 @ lSue_THFTYPE_i @ X2 )
      | ~ ( 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(sr,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_15,negated_conjecture,
    ! [X1: $i > $i > $o,X2: $i,X3: $i] :
      ( ( X1 @ lSue_THFTYPE_i @ X2 )
      | ~ ( X1 @ lSue_THFTYPE_i @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

thf(c_0_16,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax]) ).

thf(c_0_17,negated_conjecture,
    ! [X2: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_18,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : CSR123^1 : TPTP v8.2.0. Released v4.1.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n017.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sun May 19 02:25:23 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  Running higher-order theorem proving
% 0.15/0.42  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/benchmark/theBenchmark.p
% 0.15/0.43  # Version: 3.1.0-ho
% 0.15/0.43  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.15/0.43  # Starting post_as_ho10 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_9 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # post_as_ho10 with pid 6623 completed with status 0
% 0.15/0.43  # Result found by post_as_ho10
% 0.15/0.43  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.15/0.43  # Starting post_as_ho10 with 300s (1) cores
% 0.15/0.43  # No SInE strategy applied
% 0.15/0.43  # Search class: HGHNF-FFSS11-SSSFFSBN
% 0.15/0.43  # partial match(1): HGHNF-FFSM11-SSSFFSBN
% 0.15/0.43  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting new_ho_10 with 163s (1) cores
% 0.15/0.43  # new_ho_10 with pid 6628 completed with status 0
% 0.15/0.43  # Result found by new_ho_10
% 0.15/0.43  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.15/0.43  # Starting post_as_ho10 with 300s (1) cores
% 0.15/0.43  # No SInE strategy applied
% 0.15/0.43  # Search class: HGHNF-FFSS11-SSSFFSBN
% 0.15/0.43  # partial match(1): HGHNF-FFSM11-SSSFFSBN
% 0.15/0.43  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting new_ho_10 with 163s (1) cores
% 0.15/0.43  # Preprocessing time       : 0.001 s
% 0.15/0.43  # Presaturation interreduction done
% 0.15/0.43  
% 0.15/0.43  # Proof found!
% 0.15/0.43  # SZS status Theorem
% 0.15/0.43  # SZS output start CNFRefutation
% See solution above
% 0.15/0.43  # Parsed axioms                        : 13
% 0.15/0.43  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.43  # Initial clauses                      : 19
% 0.15/0.43  # Removed in clause preprocessing      : 11
% 0.15/0.43  # Initial clauses in saturation        : 8
% 0.15/0.43  # Processed clauses                    : 15
% 0.15/0.43  # ...of these trivial                  : 0
% 0.15/0.43  # ...subsumed                          : 0
% 0.15/0.43  # ...remaining for further processing  : 15
% 0.15/0.43  # Other redundant clauses eliminated   : 0
% 0.15/0.43  # Clauses deleted for lack of memory   : 0
% 0.15/0.43  # Backward-subsumed                    : 2
% 0.15/0.43  # Backward-rewritten                   : 2
% 0.15/0.43  # Generated clauses                    : 2
% 0.15/0.43  # ...of the previous two non-redundant : 1
% 0.15/0.43  # ...aggressively subsumed             : 0
% 0.15/0.43  # Contextual simplify-reflections      : 1
% 0.15/0.43  # Paramodulations                      : 2
% 0.15/0.43  # Factorizations                       : 0
% 0.15/0.43  # NegExts                              : 0
% 0.15/0.43  # Equation resolutions                 : 0
% 0.15/0.43  # Disequality decompositions           : 0
% 0.15/0.43  # Total rewrite steps                  : 2
% 0.15/0.43  # ...of those cached                   : 0
% 0.15/0.43  # Propositional unsat checks           : 0
% 0.15/0.43  #    Propositional check models        : 0
% 0.15/0.43  #    Propositional check unsatisfiable : 0
% 0.15/0.43  #    Propositional clauses             : 0
% 0.15/0.43  #    Propositional clauses after purity: 0
% 0.15/0.43  #    Propositional unsat core size     : 0
% 0.15/0.43  #    Propositional preprocessing time  : 0.000
% 0.15/0.43  #    Propositional encoding time       : 0.000
% 0.15/0.43  #    Propositional solver time         : 0.000
% 0.15/0.43  #    Success case prop preproc time    : 0.000
% 0.15/0.43  #    Success case prop encoding time   : 0.000
% 0.15/0.43  #    Success case prop solver time     : 0.000
% 0.15/0.43  # Current number of processed clauses  : 5
% 0.15/0.43  #    Positive orientable unit clauses  : 3
% 0.15/0.43  #    Positive unorientable unit clauses: 0
% 0.15/0.43  #    Negative unit clauses             : 1
% 0.15/0.43  #    Non-unit-clauses                  : 1
% 0.15/0.43  # Current number of unprocessed clauses: 0
% 0.15/0.43  # ...number of literals in the above   : 0
% 0.15/0.43  # Current number of archived formulas  : 0
% 0.15/0.43  # Current number of archived clauses   : 10
% 0.15/0.43  # Clause-clause subsumption calls (NU) : 2
% 0.15/0.43  # Rec. Clause-clause subsumption calls : 1
% 0.15/0.43  # Non-unit clause-clause subsumptions  : 1
% 0.15/0.43  # Unit Clause-clause subsumption calls : 2
% 0.15/0.43  # Rewrite failures with RHS unbound    : 0
% 0.15/0.43  # BW rewrite match attempts            : 2
% 0.15/0.43  # BW rewrite match successes           : 2
% 0.15/0.43  # Condensation attempts                : 18
% 0.15/0.43  # Condensation successes               : 0
% 0.15/0.43  # Termbank termtop insertions          : 703
% 0.15/0.43  # Search garbage collected termcells   : 85
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.004 s
% 0.15/0.43  # System time              : 0.000 s
% 0.15/0.43  # Total time               : 0.004 s
% 0.15/0.43  # Maximum resident set size: 1752 pages
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.005 s
% 0.15/0.43  # System time              : 0.001 s
% 0.15/0.43  # Total time               : 0.007 s
% 0.15/0.43  # Maximum resident set size: 1724 pages
% 0.15/0.43  % E---3.1 exiting
% 0.15/0.43  % E exiting
%------------------------------------------------------------------------------