TSTP Solution File: SYO125^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO125^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 08:44:43 EDT 2024

% Result   : Theorem 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :   40 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   41 (  14   ~;  12   |;   7   &;   0   @)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

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

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

thf(decl_24,type,
    cQ: $o ).

thf(cTRIV4,conjecture,
    ( ( ( cP
      <=> cQ )
      & ( cQ
      <=> cR ) )
   => ( cP
    <=> cR ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIV4) ).

thf(c_0_1,negated_conjecture,
    ~ ( ( ( cP
        <=> cQ )
        & ( cQ
        <=> cR ) )
     => ( cP
      <=> cR ) ),
    inference(assume_negation,[status(cth)],[cTRIV4]) ).

thf(c_0_2,negated_conjecture,
    ( ( ~ cP
      | cQ )
    & ( ~ cQ
      | cP )
    & ( ~ cQ
      | cR )
    & ( ~ cR
      | cQ )
    & ( ~ cP
      | ~ cR )
    & ( cP
      | cR ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])]) ).

thf(c_0_3,negated_conjecture,
    ( cP
    | ~ cQ ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ( cQ
    | ~ cR ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ( cP
    | cR ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ( cQ
    | ~ cP ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_7,negated_conjecture,
    cP,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).

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

thf(c_0_9,negated_conjecture,
    ( cR
    | ~ cQ ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_10,negated_conjecture,
    cQ,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

thf(c_0_11,negated_conjecture,
    ~ cR,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).

thf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYO125^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n027.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   : Mon May 20 08:52:38 EDT 2024
% 0.14/0.34  % 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/benchmark/theBenchmark.p
% 0.20/0.48  # Version: 3.1.0-ho
% 0.20/0.48  # Preprocessing class: HSSSSLSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.20/0.48  # Starting ehoh_best8_lambda with 300s (1) cores
% 0.20/0.48  # Starting ho_unfolding_6 with 300s (1) cores
% 0.20/0.48  # Starting sh4l with 300s (1) cores
% 0.20/0.48  # ho_unfolding_6 with pid 19744 completed with status 0
% 0.20/0.48  # Result found by ho_unfolding_6
% 0.20/0.48  # Preprocessing class: HSSSSLSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.20/0.48  # Starting ehoh_best8_lambda with 300s (1) cores
% 0.20/0.48  # Starting ho_unfolding_6 with 300s (1) cores
% 0.20/0.48  # No SInE strategy applied
% 0.20/0.48  # Search class: HGHNF-FFSF00-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting new_ho_10 with 181s (1) cores
% 0.20/0.48  # new_ho_10 with pid 19749 completed with status 0
% 0.20/0.48  # Result found by new_ho_10
% 0.20/0.48  # Preprocessing class: HSSSSLSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.20/0.48  # Starting ehoh_best8_lambda with 300s (1) cores
% 0.20/0.48  # Starting ho_unfolding_6 with 300s (1) cores
% 0.20/0.48  # No SInE strategy applied
% 0.20/0.48  # Search class: HGHNF-FFSF00-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting new_ho_10 with 181s (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                        : 4
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.48  # Initial clauses                      : 9
% 0.20/0.48  # Removed in clause preprocessing      : 3
% 0.20/0.48  # Initial clauses in saturation        : 6
% 0.20/0.48  # Processed clauses                    : 14
% 0.20/0.48  # ...of these trivial                  : 0
% 0.20/0.48  # ...subsumed                          : 0
% 0.20/0.48  # ...remaining for further processing  : 14
% 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                    : 3
% 0.20/0.48  # ...of the previous two non-redundant : 2
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 1
% 0.20/0.48  # Paramodulations                      : 3
% 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                  : 5
% 0.20/0.48  # ...of those cached                   : 3
% 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  : 3
% 0.20/0.48  #    Positive orientable unit clauses  : 2
% 0.20/0.48  #    Positive unorientable unit clauses: 0
% 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: 0
% 0.20/0.48  # ...number of literals in the above   : 0
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 11
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 1
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 1
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 1
% 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            : 2
% 0.20/0.48  # BW rewrite match successes           : 2
% 0.20/0.48  # Condensation attempts                : 15
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 387
% 0.20/0.48  # Search garbage collected termcells   : 73
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.004 s
% 0.20/0.48  # System time              : 0.000 s
% 0.20/0.48  # Total time               : 0.004 s
% 0.20/0.48  # Maximum resident set size: 1616 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.005 s
% 0.20/0.48  # System time              : 0.002 s
% 0.20/0.48  # Total time               : 0.006 s
% 0.20/0.48  # Maximum resident set size: 1688 pages
% 0.20/0.48  % E---3.1 exiting
% 0.20/0.48  % E exiting
%------------------------------------------------------------------------------