TSTP Solution File: CSR137^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR137^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 19:16:39 EDT 2024

% Result   : Theorem 0.24s 0.55s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   27 (  15 unt;   7 typ;   0 def)
%            Number of atoms       :   17 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   0 avg)
%            Number of connectives :  101 (  18   ~;   9   |;   6   &;  68   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^  33   !;   6   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_30,type,
    lAnna_THFTYPE_i: $i ).

thf(decl_33,type,
    lBill_THFTYPE_i: $i ).

thf(decl_35,type,
    lBob_THFTYPE_i: $i ).

thf(decl_36,type,
    lMary_THFTYPE_i: $i ).

thf(decl_38,type,
    lSue_THFTYPE_i: $i ).

thf(decl_39,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_42,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

thf(con,conjecture,
    ? [X24: $i > $i > $o,X25: $i > $i > $o,X2: $i] :
      ( ( X25 @ X2 @ lBill_THFTYPE_i )
      & ( X24 @ X2 @ lAnna_THFTYPE_i )
      & ~ ! [X26: $i,X27: $i] : ( X25 @ X26 @ X27 )
      & ~ ! [X26: $i,X27: $i] : ( X24 @ X26 @ X27 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

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

thf(ax_012,axiom,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_012) ).

thf(ax_025,axiom,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_025) ).

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

thf(c_0_5,negated_conjecture,
    ~ ? [X24: $i > $i > $o,X25: $i > $i > $o,X2: $i] :
        ( ( X25 @ X2 @ lBill_THFTYPE_i )
        & ( X24 @ X2 @ lAnna_THFTYPE_i )
        & ~ ! [X26: $i,X27: $i] : ( X25 @ X26 @ X27 )
        & ~ ! [X26: $i,X27: $i] : ( X24 @ X26 @ X27 ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_6,negated_conjecture,
    ! [X65: $i > $i > $o,X66: $i > $i > $o,X67: $i,X68: $i,X69: $i,X70: $i,X71: $i] :
      ( ~ ( X66 @ X67 @ lBill_THFTYPE_i )
      | ~ ( X65 @ X67 @ lAnna_THFTYPE_i )
      | ( X66 @ X68 @ X69 )
      | ( X65 @ X70 @ X71 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

thf(c_0_7,plain,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    inference(fof_simplification,[status(thm)],[ax_002]) ).

thf(c_0_8,negated_conjecture,
    ! [X4: $i,X3: $i,X5: $i,X24: $i > $i > $o,X25: $i > $i > $o,X2: $i,X1: $i] :
      ( ( X24 @ X2 @ X3 )
      | ( X25 @ X4 @ X5 )
      | ~ ( X24 @ X1 @ lBill_THFTYPE_i )
      | ~ ( X25 @ X1 @ lAnna_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_9,plain,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_012]) ).

thf(c_0_10,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(fof_simplification,[status(thm)],[ax_025]) ).

thf(c_0_11,plain,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    inference(fof_nnf,[status(thm)],[c_0_7]) ).

thf(c_0_12,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i,X24: $i > $i > $o] :
      ( ( parent_THFTYPE_IiioI @ X1 @ X2 )
      | ( X24 @ X3 @ X4 )
      | ~ ( X24 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

thf(c_0_13,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax]) ).

thf(c_0_14,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(fof_nnf,[status(thm)],[c_0_10]) ).

thf(c_0_15,plain,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_16,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( likes_THFTYPE_IiioI @ X1 @ X2 )
      | ( parent_THFTYPE_IiioI @ X3 @ X4 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_17,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

thf(c_0_18,negated_conjecture,
    ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_19,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem    : CSR137^2 : TPTP v8.2.0. Released v4.1.0.
% 0.09/0.16  % Command    : run_E %s %d THM
% 0.15/0.38  % Computer : n018.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Sun May 19 02:24:08 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.24/0.53  Running higher-order theorem proving
% 0.24/0.53  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
% 0.24/0.55  # Version: 3.1.0-ho
% 0.24/0.55  # Preprocessing class: HSMSSMSMSSSNSSA.
% 0.24/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.55  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.24/0.55  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.24/0.55  # Starting sh5l with 300s (1) cores
% 0.24/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.24/0.55  # sh5l with pid 2686 completed with status 0
% 0.24/0.55  # Result found by sh5l
% 0.24/0.55  # Preprocessing class: HSMSSMSMSSSNSSA.
% 0.24/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.55  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.24/0.55  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.24/0.55  # Starting sh5l with 300s (1) cores
% 0.24/0.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.24/0.55  # Search class: HGHNF-FFMM11-SSSFFFBN
% 0.24/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.55  # Starting new_ho_10 with 181s (1) cores
% 0.24/0.55  # new_ho_10 with pid 2692 completed with status 0
% 0.24/0.55  # Result found by new_ho_10
% 0.24/0.55  # Preprocessing class: HSMSSMSMSSSNSSA.
% 0.24/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.55  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.24/0.55  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.24/0.55  # Starting sh5l with 300s (1) cores
% 0.24/0.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.24/0.55  # Search class: HGHNF-FFMM11-SSSFFFBN
% 0.24/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.55  # Starting new_ho_10 with 181s (1) cores
% 0.24/0.55  # Preprocessing time       : 0.001 s
% 0.24/0.55  # Presaturation interreduction done
% 0.24/0.55  
% 0.24/0.55  # Proof found!
% 0.24/0.55  # SZS status Theorem
% 0.24/0.55  # SZS output start CNFRefutation
% See solution above
% 0.24/0.55  # Parsed axioms                        : 71
% 0.24/0.55  # Removed by relevancy pruning/SinE    : 28
% 0.24/0.55  # Initial clauses                      : 48
% 0.24/0.55  # Removed in clause preprocessing      : 5
% 0.24/0.55  # Initial clauses in saturation        : 43
% 0.24/0.55  # Processed clauses                    : 83
% 0.24/0.55  # ...of these trivial                  : 7
% 0.24/0.55  # ...subsumed                          : 5
% 0.24/0.55  # ...remaining for further processing  : 71
% 0.24/0.55  # Other redundant clauses eliminated   : 0
% 0.24/0.55  # Clauses deleted for lack of memory   : 0
% 0.24/0.55  # Backward-subsumed                    : 1
% 0.24/0.55  # Backward-rewritten                   : 10
% 0.24/0.55  # Generated clauses                    : 16
% 0.24/0.55  # ...of the previous two non-redundant : 16
% 0.24/0.55  # ...aggressively subsumed             : 0
% 0.24/0.55  # Contextual simplify-reflections      : 0
% 0.24/0.55  # Paramodulations                      : 16
% 0.24/0.55  # Factorizations                       : 0
% 0.24/0.55  # NegExts                              : 0
% 0.24/0.55  # Equation resolutions                 : 0
% 0.24/0.55  # Disequality decompositions           : 0
% 0.24/0.55  # Total rewrite steps                  : 12
% 0.24/0.55  # ...of those cached                   : 0
% 0.24/0.55  # Propositional unsat checks           : 0
% 0.24/0.55  #    Propositional check models        : 0
% 0.24/0.55  #    Propositional check unsatisfiable : 0
% 0.24/0.55  #    Propositional clauses             : 0
% 0.24/0.55  #    Propositional clauses after purity: 0
% 0.24/0.55  #    Propositional unsat core size     : 0
% 0.24/0.55  #    Propositional preprocessing time  : 0.000
% 0.24/0.55  #    Propositional encoding time       : 0.000
% 0.24/0.55  #    Propositional solver time         : 0.000
% 0.24/0.55  #    Success case prop preproc time    : 0.000
% 0.24/0.55  #    Success case prop encoding time   : 0.000
% 0.24/0.55  #    Success case prop solver time     : 0.000
% 0.24/0.55  # Current number of processed clauses  : 29
% 0.24/0.55  #    Positive orientable unit clauses  : 16
% 0.24/0.55  #    Positive unorientable unit clauses: 0
% 0.24/0.55  #    Negative unit clauses             : 1
% 0.24/0.55  #    Non-unit-clauses                  : 12
% 0.24/0.55  # Current number of unprocessed clauses: 6
% 0.24/0.55  # ...number of literals in the above   : 20
% 0.24/0.55  # Current number of archived formulas  : 0
% 0.24/0.55  # Current number of archived clauses   : 42
% 0.24/0.55  # Clause-clause subsumption calls (NU) : 58
% 0.24/0.55  # Rec. Clause-clause subsumption calls : 46
% 0.24/0.55  # Non-unit clause-clause subsumptions  : 3
% 0.24/0.55  # Unit Clause-clause subsumption calls : 5
% 0.24/0.55  # Rewrite failures with RHS unbound    : 0
% 0.24/0.55  # BW rewrite match attempts            : 11
% 0.24/0.55  # BW rewrite match successes           : 10
% 0.24/0.55  # Condensation attempts                : 83
% 0.24/0.55  # Condensation successes               : 1
% 0.24/0.55  # Termbank termtop insertions          : 2981
% 0.24/0.55  # Search garbage collected termcells   : 502
% 0.24/0.55  
% 0.24/0.55  # -------------------------------------------------
% 0.24/0.55  # User time                : 0.009 s
% 0.24/0.55  # System time              : 0.001 s
% 0.24/0.55  # Total time               : 0.010 s
% 0.24/0.55  # Maximum resident set size: 1924 pages
% 0.24/0.55  
% 0.24/0.55  # -------------------------------------------------
% 0.24/0.55  # User time                : 0.012 s
% 0.24/0.55  # System time              : 0.003 s
% 0.24/0.55  # Total time               : 0.015 s
% 0.24/0.55  # Maximum resident set size: 1780 pages
% 0.24/0.55  % E---3.1 exiting
% 0.24/0.56  % E exiting
%------------------------------------------------------------------------------