TSTP Solution File: CSR136^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR136^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 07:34:37 EDT 2024

% Result   : Theorem 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  10 unt;   4 typ;   0 def)
%            Number of atoms       :   10 (   1 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :   61 (  13   ~;   4   |;   4   &;  40   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^  12   !;   2   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_24,type,
    lBill_THFTYPE_i: $i ).

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

thf(decl_27,type,
    lSue_THFTYPE_i: $i ).

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

thf(con,conjecture,
    ? [X1: $i > $i > $o] :
      ( ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      & ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      & ~ ! [X2: $i,X3: $i] : ( X1 @ X2 @ X3 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DhQchClO38/E---3.1_7672.p',con) ).

thf(ax_001,axiom,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    file('/export/starexec/sandbox2/tmp/tmp.DhQchClO38/E---3.1_7672.p',ax_001) ).

thf(ax_002,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/tmp/tmp.DhQchClO38/E---3.1_7672.p',ax_002) ).

thf(c_0_3,negated_conjecture,
    ~ ? [X1: $i > $i > $o] :
        ( ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ~ ! [X2: $i,X3: $i] : ( X1 @ X2 @ X3 ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_4,plain,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    inference(fof_simplification,[status(thm)],[ax_001]) ).

thf(c_0_5,negated_conjecture,
    ! [X7: $i > $i > $o,X8: $i,X9: $i] :
      ( ~ ( X7 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( X7 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ( X7 @ X8 @ X9 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[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 @ lMary_THFTYPE_i ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i > $i > $o] :
      ( ( X1 @ X2 @ X3 )
      | ~ ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,plain,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_9,negated_conjecture,
    ! [X2: $i] : ( lBill_THFTYPE_i = X2 ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_7]) ).

thf(c_0_10,plain,
    ~ ( likes_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]) ).

thf(c_0_11,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_002]) ).

thf(c_0_12,negated_conjecture,
    ! [X2: $i] :
      ~ ( likes_THFTYPE_IiioI @ X2 @ X2 ),
    inference(spm,[status(thm)],[c_0_10,c_0_9]) ).

thf(c_0_13,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR136^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 15:15:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.47  Running higher-order theorem proving
% 0.20/0.47  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/tmp/tmp.DhQchClO38/E---3.1_7672.p
% 0.20/0.48  # Version: 3.1.0-ho
% 0.20/0.48  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.20/0.48  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_9 with 300s (1) cores
% 0.20/0.48  # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.48  # Starting post_as_ho4 with 300s (1) cores
% 0.20/0.48  # Starting post_as_ho2 with 300s (1) cores
% 0.20/0.48  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.48  # Starting full_lambda_10 with 300s (1) cores
% 0.20/0.48  # Starting new_ho_8 with 300s (1) cores
% 0.20/0.48  # new_bool_9 with pid 7752 completed with status 0
% 0.20/0.48  # Result found by new_bool_9
% 0.20/0.48  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.20/0.48  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_9 with 300s (1) cores
% 0.20/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.20/0.48  # Search class: HHUNF-FFSF00-SSSFFSBN
% 0.20/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting ho_unfolding_3 with 163s (1) cores
% 0.20/0.48  # ho_unfolding_3 with pid 7761 completed with status 0
% 0.20/0.48  # Result found by ho_unfolding_3
% 0.20/0.48  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.20/0.48  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_9 with 300s (1) cores
% 0.20/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.20/0.48  # Search class: HHUNF-FFSF00-SSSFFSBN
% 0.20/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting ho_unfolding_3 with 163s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Theorem
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.48  # Parsed axioms                        : 18
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 14
% 0.20/0.48  # Initial clauses                      : 4
% 0.20/0.48  # Removed in clause preprocessing      : 0
% 0.20/0.48  # Initial clauses in saturation        : 4
% 0.20/0.48  # Processed clauses                    : 17
% 0.20/0.48  # ...of these trivial                  : 0
% 0.20/0.48  # ...subsumed                          : 5
% 0.20/0.48  # ...remaining for further processing  : 11
% 0.20/0.48  # Other redundant clauses eliminated   : 0
% 0.20/0.48  # Clauses deleted for lack of memory   : 0
% 0.20/0.48  # Backward-subsumed                    : 1
% 0.20/0.48  # Backward-rewritten                   : 4
% 0.20/0.48  # Generated clauses                    : 13
% 0.20/0.48  # ...of the previous two non-redundant : 17
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 0
% 0.20/0.48  # Paramodulations                      : 7
% 0.20/0.48  # Factorizations                       : 0
% 0.20/0.48  # NegExts                              : 0
% 0.20/0.48  # Equation resolutions                 : 0
% 0.20/0.48  # Disequality decompositions           : 0
% 0.20/0.48  # Total rewrite steps                  : 13
% 0.20/0.48  # ...of those cached                   : 10
% 0.20/0.48  # Propositional unsat checks           : 0
% 0.20/0.48  #    Propositional check models        : 0
% 0.20/0.48  #    Propositional check unsatisfiable : 0
% 0.20/0.48  #    Propositional clauses             : 0
% 0.20/0.48  #    Propositional clauses after purity: 0
% 0.20/0.48  #    Propositional unsat core size     : 0
% 0.20/0.48  #    Propositional preprocessing time  : 0.000
% 0.20/0.48  #    Propositional encoding time       : 0.000
% 0.20/0.48  #    Propositional solver time         : 0.000
% 0.20/0.48  #    Success case prop preproc time    : 0.000
% 0.20/0.48  #    Success case prop encoding time   : 0.000
% 0.20/0.48  #    Success case prop solver time     : 0.000
% 0.20/0.48  # Current number of processed clauses  : 2
% 0.20/0.48  #    Positive orientable unit clauses  : 0
% 0.20/0.48  #    Positive unorientable unit clauses: 1
% 0.20/0.48  #    Negative unit clauses             : 1
% 0.20/0.48  #    Non-unit-clauses                  : 0
% 0.20/0.48  # Current number of unprocessed clauses: 5
% 0.20/0.48  # ...number of literals in the above   : 7
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 9
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.48  # Unit Clause-clause subsumption calls : 1
% 0.20/0.48  # Rewrite failures with RHS unbound    : 0
% 0.20/0.48  # BW rewrite match attempts            : 11
% 0.20/0.48  # BW rewrite match successes           : 4
% 0.20/0.48  # Condensation attempts                : 17
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 419
% 0.20/0.48  # Search garbage collected termcells   : 62
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.003 s
% 0.20/0.48  # System time              : 0.002 s
% 0.20/0.48  # Total time               : 0.005 s
% 0.20/0.48  # Maximum resident set size: 1784 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.004 s
% 0.20/0.48  # System time              : 0.004 s
% 0.20/0.48  # Total time               : 0.008 s
% 0.20/0.48  # Maximum resident set size: 1720 pages
% 0.20/0.48  % E---3.1 exiting
% 0.20/0.49  % E exiting
%------------------------------------------------------------------------------