TSTP Solution File: SYO357^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO357^5 : 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 08:45:42 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   5 unt;   6 typ;   0 def)
%            Number of atoms       :   23 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   77 (  19   ~;  19   |;   9   &;  24   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   5 con; 0-1 aty)
%            Number of variables   :    8 (   0   ^   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    atype: $tType ).

thf(decl_22,type,
    a: $o ).

thf(decl_23,type,
    v: atype ).

thf(decl_24,type,
    u: atype ).

thf(decl_25,type,
    b: $o ).

thf(decl_26,type,
    epred1_0: atype > $o ).

thf(cE2LEIBEQ2_pme,conjecture,
    ( ! [X1: atype > $o] :
        ( ( ( a
            | ~ a )
          & ( X1 @ u ) )
       => ( ( b
            | ~ b )
          & ( X1 @ v ) ) )
   => ! [X2: atype > $o] :
        ( ( X2 @ u )
       => ( X2 @ v ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cE2LEIBEQ2_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ( ! [X1: atype > $o] :
          ( ( ( a
              | ~ a )
            & ( X1 @ u ) )
         => ( ( b
              | ~ b )
            & ( X1 @ v ) ) )
     => ! [X2: atype > $o] :
          ( ( X2 @ u )
         => ( X2 @ v ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cE2LEIBEQ2_pme])]) ).

thf(c_0_2,negated_conjecture,
    ! [X5: atype > $o] :
      ( ( b
        | ~ b
        | ~ a
        | ~ ( X5 @ u ) )
      & ( ( X5 @ v )
        | ~ a
        | ~ ( X5 @ u ) )
      & ( b
        | ~ b
        | a
        | ~ ( X5 @ u ) )
      & ( ( X5 @ v )
        | a
        | ~ ( X5 @ u ) )
      & ( epred1_0 @ u )
      & ~ ( epred1_0 @ v ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

thf(c_0_3,negated_conjecture,
    ! [X1: atype > $o] :
      ( ( X1 @ v )
      | a
      | ~ ( X1 @ u ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ! [X1: atype > $o] :
      ( ( X1 @ v )
      | ~ a
      | ~ ( X1 @ u ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

thf(c_0_6,negated_conjecture,
    epred1_0 @ u,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_7,negated_conjecture,
    ~ ( epred1_0 @ v ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_8,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYO357^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 08:31:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running higher-order theorem proving
% 0.20/0.49  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
% 0.20/0.50  # Version: 3.1.0-ho
% 0.20/0.50  # Preprocessing class: HSSSSLSSSSSNSSA.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.50  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # ehoh_best_sine_rwall with pid 19858 completed with status 0
% 0.20/0.50  # Result found by ehoh_best_sine_rwall
% 0.20/0.50  # Preprocessing class: HSSSSLSSSSSNSSA.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.50  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.20/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.50  # Search class: HGUNF-FFSF00-SSSFFMBN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting ehoh_best_nonlift with 163s (1) cores
% 0.20/0.50  # ehoh_best_nonlift with pid 19861 completed with status 0
% 0.20/0.50  # Result found by ehoh_best_nonlift
% 0.20/0.50  # Preprocessing class: HSSSSLSSSSSNSSA.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.50  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.20/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.50  # Search class: HGUNF-FFSF00-SSSFFMBN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting ehoh_best_nonlift with 163s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 6
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 5
% 0.20/0.50  # Initial clauses                      : 6
% 0.20/0.50  # Removed in clause preprocessing      : 2
% 0.20/0.50  # Initial clauses in saturation        : 4
% 0.20/0.50  # Processed clauses                    : 7
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 0
% 0.20/0.50  # ...remaining for further processing  : 7
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 1
% 0.20/0.50  # Backward-rewritten                   : 0
% 0.20/0.50  # Generated clauses                    : 5
% 0.20/0.50  # ...of the previous two non-redundant : 2
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 1
% 0.20/0.50  # Paramodulations                      : 1
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 0
% 0.20/0.50  # ...of those cached                   : 0
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 3
% 0.20/0.50  #    Positive orientable unit clauses  : 1
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 1
% 0.20/0.50  #    Non-unit-clauses                  : 1
% 0.20/0.50  # Current number of unprocessed clauses: 0
% 0.20/0.50  # ...number of literals in the above   : 0
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 4
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 2
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 2
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 2
% 0.20/0.50  # Unit Clause-clause subsumption calls : 0
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 0
% 0.20/0.50  # BW rewrite match successes           : 0
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 489
% 0.20/0.50  # Search garbage collected termcells   : 121
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.005 s
% 0.20/0.50  # System time              : 0.000 s
% 0.20/0.50  # Total time               : 0.005 s
% 0.20/0.50  # Maximum resident set size: 1780 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.006 s
% 0.20/0.50  # System time              : 0.002 s
% 0.20/0.50  # Total time               : 0.007 s
% 0.20/0.50  # Maximum resident set size: 1720 pages
% 0.20/0.50  % E---3.1 exiting
% 0.20/0.50  % E exiting
%------------------------------------------------------------------------------