TSTP Solution File: SYO235^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO235^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 : Tue May 21 08:45:13 EDT 2024

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   3 unt;   2 typ;   0 def)
%            Number of atoms       :   50 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   71 (  17   ~;  24   |;   3   &;  18   @)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   4 con; 0-0 aty)
%            Number of variables   :    8 (   0   ^   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    cB: $o ).

thf(decl_23,type,
    cA: $o ).

thf(cTHM505,conjecture,
    ( ( ! [X1: $o > $o] :
          ( ( X1 @ cA )
         => ( X1 @ cB ) )
      | ( cA
      <=> cB ) )
   => ( cA
    <=> cB ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM505) ).

thf(c_0_1,negated_conjecture,
    ~ ( ( ! [X1: $o > $o] :
            ( ( X1 @ cA )
           => ( X1 @ cB ) )
        | ( cA
        <=> cB ) )
     => ( cA
      <=> cB ) ),
    inference(assume_negation,[status(cth)],[cTHM505]) ).

thf(c_0_2,negated_conjecture,
    ! [X3: $o > $o] :
      ( ( ~ cA
        | cB
        | ~ ( X3 @ cA )
        | ( X3 @ cB ) )
      & ( ~ cB
        | cA
        | ~ ( X3 @ cA )
        | ( X3 @ cB ) )
      & ( ~ cA
        | ~ cB )
      & ( cA
        | cB ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

thf(c_0_3,negated_conjecture,
    ! [X1: $o > $o] :
      ( cA
      | ( X1 @ cB )
      | ~ cB
      | ~ ( X1 @ cA ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ( cA
    | cB ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ! [X1: $o > $o] :
      ( ( X1 @ cB )
      | cA
      | ~ ( X1 @ cA ) ),
    inference(csr,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_6,negated_conjecture,
    ( ( cB
    <=> cA )
    | cA ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_5]) ).

thf(c_0_7,negated_conjecture,
    ! [X1: $o > $o] :
      ( cB
      | ( X1 @ cB )
      | ~ cA
      | ~ ( X1 @ cA ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_8,negated_conjecture,
    ( ~ cA
    | ~ cB ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_9,negated_conjecture,
    cA,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])]),c_0_4]) ).

thf(c_0_10,negated_conjecture,
    ! [X1: $o > $o] :
      ( ( X1 @ cB )
      | cB
      | ~ ( X1 @ cA ) ),
    inference(csr,[status(thm)],[c_0_7,c_0_4]) ).

thf(c_0_11,negated_conjecture,
    ~ cB,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).

thf(c_0_12,negated_conjecture,
    ! [X1: $o > $o] :
      ( ( X1 @ cB )
      | ~ ( X1 @ $true ) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9]),c_0_11]) ).

thf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_12]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO235^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n003.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   : Mon May 20 10:13:52 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running higher-order theorem proving
% 0.20/0.48  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
% 0.20/0.49  # Version: 3.1.0-ho
% 0.20/0.49  # Preprocessing class: HSSSSLSSSSSNSSA.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.49  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # ho_unfolding_3 with pid 13551 completed with status 0
% 0.20/0.49  # Result found by ho_unfolding_3
% 0.20/0.49  # Preprocessing class: HSSSSLSSSSSNSSA.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: HGHNF-FFSF00-SSSFFMBN
% 0.20/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting post_as_ho12 with 811s (1) cores
% 0.20/0.49  # Starting ho_unfolding_3 with 151s (1) cores
% 0.20/0.49  # Starting sh2lt with 136s (1) cores
% 0.20/0.49  # Starting sh2l with 136s (1) cores
% 0.20/0.49  # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.20/0.49  # ho_unfolding_3 with pid 13559 completed with status 0
% 0.20/0.49  # Result found by ho_unfolding_3
% 0.20/0.49  # Preprocessing class: HSSSSLSSSSSNSSA.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: HGHNF-FFSF00-SSSFFMBN
% 0.20/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting post_as_ho12 with 811s (1) cores
% 0.20/0.49  # Starting ho_unfolding_3 with 151s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.001 s
% 0.20/0.49  # Presaturation interreduction done
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Theorem
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 3
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.49  # Initial clauses                      : 6
% 0.20/0.49  # Removed in clause preprocessing      : 2
% 0.20/0.49  # Initial clauses in saturation        : 4
% 0.20/0.49  # Processed clauses                    : 12
% 0.20/0.49  # ...of these trivial                  : 1
% 0.20/0.49  # ...subsumed                          : 0
% 0.20/0.49  # ...remaining for further processing  : 11
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 0
% 0.20/0.49  # Backward-rewritten                   : 3
% 0.20/0.49  # Generated clauses                    : 7
% 0.20/0.49  # ...of the previous two non-redundant : 4
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 3
% 0.20/0.49  # Paramodulations                      : 1
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 7
% 0.20/0.49  # ...of those cached                   : 6
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 3
% 0.20/0.49  #    Positive orientable unit clauses  : 1
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 1
% 0.20/0.49  #    Non-unit-clauses                  : 1
% 0.20/0.49  # Current number of unprocessed clauses: 0
% 0.20/0.49  # ...number of literals in the above   : 0
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 8
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 13
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 10
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 3
% 0.20/0.49  # Unit Clause-clause subsumption calls : 0
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 1
% 0.20/0.49  # BW rewrite match successes           : 1
% 0.20/0.49  # Condensation attempts                : 13
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 609
% 0.20/0.49  # Search garbage collected termcells   : 94
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.003 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.006 s
% 0.20/0.49  # Maximum resident set size: 1716 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.009 s
% 0.20/0.49  # System time              : 0.010 s
% 0.20/0.49  # Total time               : 0.019 s
% 0.20/0.49  # Maximum resident set size: 1700 pages
% 0.20/0.49  % E---3.1 exiting
% 0.20/0.49  % E exiting
%------------------------------------------------------------------------------