TSTP Solution File: CSR123^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR123^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (   8 unt;   7 typ;   0 def)
%            Number of atoms       :   52 (   1 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  194 (  33   ~;  22   |;  11   &; 128   @)
%                                         (   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     :   10 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^  18   !;   6   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_37,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(decl_49,type,
    lBen_THFTYPE_i: $i ).

thf(decl_50,type,
    lBill_THFTYPE_i: $i ).

thf(decl_73,type,
    lSue_THFTYPE_i: $i ).

thf(decl_84,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(decl_88,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_94,type,
    n2009_THFTYPE_i: $i ).

thf(con,conjecture,
    ? [X44: $i > $i > $o,X5: $i,X6: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( X44 @ lSue_THFTYPE_i @ X5 )
        & ~ ( X44 @ lSue_THFTYPE_i @ X6 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(ax_031,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_031) ).

thf(ax_048,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_048) ).

thf(c_0_3,negated_conjecture,
    ~ ? [X44: $i > $i > $o,X5: $i,X6: $i] :
        ( ( ~ ( ( X44 @ lSue_THFTYPE_i @ X5 )
              & ~ ( X44 @ lSue_THFTYPE_i @ X6 ) )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
        & ( ( ( X44 @ lSue_THFTYPE_i @ X5 )
            & ~ ( X44 @ lSue_THFTYPE_i @ X6 ) )
          | ( 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_031])]) ).

thf(c_0_5,negated_conjecture,
    ! [X143: $i > $i > $o,X144: $i,X145: $i] :
      ( ( ~ ( X143 @ lSue_THFTYPE_i @ X144 )
        | ( X143 @ lSue_THFTYPE_i @ X145 )
        | ( X143 @ lSue_THFTYPE_i @ X144 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( X143 @ lSue_THFTYPE_i @ X144 ) )
      & ( ~ ( X143 @ lSue_THFTYPE_i @ X144 )
        | ( X143 @ lSue_THFTYPE_i @ X145 )
        | ~ ( X143 @ lSue_THFTYPE_i @ X145 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ~ ( X143 @ lSue_THFTYPE_i @ X145 ) )
      & ( ~ ( X143 @ lSue_THFTYPE_i @ X144 )
        | ( X143 @ lSue_THFTYPE_i @ X145 )
        | ~ ( 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,
    ! [X16: $i > $i > $o,X1: $i] :
      ( ( X16 @ 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_8,negated_conjecture,
    ! [X16: $i > $i > $o,X1: $i] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
      | ~ ( X16 @ lSue_THFTYPE_i @ X1 ) ),
    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,
    ! [X16: $i > $i > $o,X2: $i,X1: $i] :
      ( ( X16 @ lSue_THFTYPE_i @ X2 )
      | ~ ( X16 @ 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(sr,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_15,negated_conjecture,
    ! [X1: $i,X16: $i > $i > $o,X2: $i] :
      ( ( X16 @ lSue_THFTYPE_i @ X1 )
      | ~ ( X16 @ lSue_THFTYPE_i @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

thf(c_0_16,negated_conjecture,
    ! [X1: $i,X2: $i] : ( X1 = X2 ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_15]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i] :
      ~ ( likes_THFTYPE_IiioI @ X1 @ lBen_THFTYPE_i ),
    inference(spm,[status(thm)],[c_0_12,c_0_16]) ).

thf(c_0_18,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_048]) ).

thf(c_0_19,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ~ ( likes_THFTYPE_IiioI @ X1 @ X2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_16]) ).

thf(c_0_20,plain,
    $false,
    inference(sr,[status(thm)],[c_0_18,c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : CSR123^2 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sun May 19 01:14:07 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running higher-order theorem proving
% 0.17/0.44  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
% 0.17/0.47  # Version: 3.1.0-ho
% 0.17/0.47  # Preprocessing class: HSLSSMSMSSSNHSA.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.47  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.17/0.47  # Starting lpo9_lambda_fix with 300s (1) cores
% 0.17/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47  # lpo9_lambda_fix with pid 29735 completed with status 0
% 0.17/0.47  # Result found by lpo9_lambda_fix
% 0.17/0.47  # Preprocessing class: HSLSSMSMSSSNHSA.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.47  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.17/0.47  # Starting lpo9_lambda_fix with 300s (1) cores
% 0.17/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.47  # Search class: HGHSF-FFMM21-SHSFFFBN
% 0.17/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting ho_unfolding_3 with 163s (1) cores
% 0.17/0.47  # ho_unfolding_3 with pid 29738 completed with status 0
% 0.17/0.47  # Result found by ho_unfolding_3
% 0.17/0.47  # Preprocessing class: HSLSSMSMSSSNHSA.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.47  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.17/0.47  # Starting lpo9_lambda_fix with 300s (1) cores
% 0.17/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.47  # Search class: HGHSF-FFMM21-SHSFFFBN
% 0.17/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting ho_unfolding_3 with 163s (1) cores
% 0.17/0.47  # Preprocessing time       : 0.003 s
% 0.17/0.47  # Presaturation interreduction done
% 0.17/0.47  
% 0.17/0.47  # Proof found!
% 0.17/0.47  # SZS status Theorem
% 0.17/0.47  # SZS output start CNFRefutation
% See solution above
% 0.17/0.47  # Parsed axioms                        : 282
% 0.17/0.47  # Removed by relevancy pruning/SinE    : 97
% 0.17/0.47  # Initial clauses                      : 204
% 0.17/0.47  # Removed in clause preprocessing      : 7
% 0.17/0.47  # Initial clauses in saturation        : 197
% 0.17/0.47  # Processed clauses                    : 307
% 0.17/0.47  # ...of these trivial                  : 2
% 0.17/0.47  # ...subsumed                          : 3
% 0.17/0.47  # ...remaining for further processing  : 302
% 0.17/0.47  # Other redundant clauses eliminated   : 0
% 0.17/0.47  # Clauses deleted for lack of memory   : 0
% 0.17/0.47  # Backward-subsumed                    : 6
% 0.17/0.47  # Backward-rewritten                   : 0
% 0.17/0.47  # Generated clauses                    : 339
% 0.17/0.47  # ...of the previous two non-redundant : 333
% 0.17/0.47  # ...aggressively subsumed             : 0
% 0.17/0.47  # Contextual simplify-reflections      : 1
% 0.17/0.47  # Paramodulations                      : 331
% 0.17/0.47  # Factorizations                       : 0
% 0.17/0.47  # NegExts                              : 0
% 0.17/0.47  # Equation resolutions                 : 0
% 0.17/0.47  # Disequality decompositions           : 0
% 0.17/0.47  # Total rewrite steps                  : 3
% 0.17/0.47  # ...of those cached                   : 0
% 0.17/0.47  # Propositional unsat checks           : 0
% 0.17/0.47  #    Propositional check models        : 0
% 0.17/0.47  #    Propositional check unsatisfiable : 0
% 0.17/0.47  #    Propositional clauses             : 0
% 0.17/0.47  #    Propositional clauses after purity: 0
% 0.17/0.47  #    Propositional unsat core size     : 0
% 0.17/0.47  #    Propositional preprocessing time  : 0.000
% 0.17/0.47  #    Propositional encoding time       : 0.000
% 0.17/0.47  #    Propositional solver time         : 0.000
% 0.17/0.47  #    Success case prop preproc time    : 0.000
% 0.17/0.47  #    Success case prop encoding time   : 0.000
% 0.17/0.47  #    Success case prop solver time     : 0.000
% 0.17/0.47  # Current number of processed clauses  : 104
% 0.17/0.47  #    Positive orientable unit clauses  : 98
% 0.17/0.47  #    Positive unorientable unit clauses: 1
% 0.17/0.47  #    Negative unit clauses             : 3
% 0.17/0.47  #    Non-unit-clauses                  : 2
% 0.17/0.47  # Current number of unprocessed clauses: 413
% 0.17/0.47  # ...number of literals in the above   : 482
% 0.17/0.47  # Current number of archived formulas  : 0
% 0.17/0.47  # Current number of archived clauses   : 198
% 0.17/0.47  # Clause-clause subsumption calls (NU) : 345
% 0.17/0.47  # Rec. Clause-clause subsumption calls : 186
% 0.17/0.47  # Non-unit clause-clause subsumptions  : 6
% 0.17/0.47  # Unit Clause-clause subsumption calls : 126
% 0.17/0.47  # Rewrite failures with RHS unbound    : 0
% 0.17/0.47  # BW rewrite match attempts            : 346
% 0.17/0.47  # BW rewrite match successes           : 80
% 0.17/0.47  # Condensation attempts                : 310
% 0.17/0.47  # Condensation successes               : 1
% 0.17/0.47  # Termbank termtop insertions          : 10162
% 0.17/0.47  # Search garbage collected termcells   : 1406
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.022 s
% 0.17/0.47  # System time              : 0.003 s
% 0.17/0.47  # Total time               : 0.025 s
% 0.17/0.47  # Maximum resident set size: 2500 pages
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.028 s
% 0.17/0.47  # System time              : 0.005 s
% 0.17/0.47  # Total time               : 0.033 s
% 0.17/0.47  # Maximum resident set size: 1920 pages
% 0.17/0.47  % E---3.1 exiting
% 0.17/0.47  % E exiting
%------------------------------------------------------------------------------