TSTP Solution File: SYN915^4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN915^4 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 07:54:56 EDT 2024

% Result   : Theorem 0.18s 0.48s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  10 unt;   3 typ;   0 def)
%            Number of atoms       :   21 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    7 (   3   ~;   0   |;   0   &;   4   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   6   ^   3   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_28,type,
    iatom: ( $i > $o ) > $i > $o ).

thf(decl_30,type,
    itrue: $i > $o ).

thf(decl_38,type,
    ivalid: ( $i > $o ) > $o ).

thf(iatom,axiom,
    ( iatom
    = ( ^ [X12: $i > $o] : X12 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',iatom) ).

thf(itrue,axiom,
    ( itrue
    = ( ^ [X13: $i] : $true ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',itrue) ).

thf(ivalid,axiom,
    ( ivalid
    = ( ^ [X15: $i > $o] :
        ! [X13: $i] : ( X15 @ X13 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',ivalid) ).

thf(truth,conjecture,
    ivalid @ ( iatom @ itrue ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth) ).

thf(c_0_4,plain,
    ( iatom
    = ( ^ [Z0: $i > $o] : Z0 ) ),
    inference(fof_simplification,[status(thm)],[iatom]) ).

thf(c_0_5,plain,
    ( itrue
    = ( ^ [Z0: $i] : $true ) ),
    inference(fof_simplification,[status(thm)],[itrue]) ).

thf(c_0_6,plain,
    ( ivalid
    = ( ^ [Z0: $i > $o] :
        ! [X13: $i] : ( Z0 @ X13 ) ) ),
    inference(fof_simplification,[status(thm)],[ivalid]) ).

thf(c_0_7,negated_conjecture,
    ~ ! [X37: $i] : $true,
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[truth]),c_0_4]),c_0_5]),c_0_6]) ).

thf(c_0_8,negated_conjecture,
    ~ $true,
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])]) ).

thf(c_0_9,negated_conjecture,
    ~ $true,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : SYN915^4 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14  % Command    : run_E %s %d THM
% 0.12/0.35  % Computer : n019.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Mon May 20 14:33:38 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.18/0.47  Running higher-order theorem proving
% 0.18/0.47  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
% 0.18/0.48  # Version: 3.1.0-ho
% 0.18/0.48  # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting new_ho_9 with 1500s (5) cores
% 0.18/0.48  # Starting post_as_ho1 with 300s (1) cores
% 0.18/0.48  # Starting sh1l with 300s (1) cores
% 0.18/0.48  # Starting post_as_ho10 with 300s (1) cores
% 0.18/0.48  # sh1l with pid 11901 completed with status 0
% 0.18/0.48  # Result found by sh1l
% 0.18/0.48  # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting new_ho_9 with 1500s (5) cores
% 0.18/0.48  # Starting post_as_ho1 with 300s (1) cores
% 0.18/0.48  # Starting sh1l with 300s (1) cores
% 0.18/0.48  # No SInE strategy applied
% 0.18/0.48  # Search class: HHHNF-FFSF00-SHSSMFNN
% 0.18/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48  # Starting new_ho_10 with 163s (1) cores
% 0.18/0.48  # new_ho_10 with pid 11903 completed with status 0
% 0.18/0.48  # Result found by new_ho_10
% 0.18/0.48  # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting new_ho_9 with 1500s (5) cores
% 0.18/0.48  # Starting post_as_ho1 with 300s (1) cores
% 0.18/0.48  # Starting sh1l with 300s (1) cores
% 0.18/0.48  # No SInE strategy applied
% 0.18/0.48  # Search class: HHHNF-FFSF00-SHSSMFNN
% 0.18/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48  # Starting new_ho_10 with 163s (1) cores
% 0.18/0.48  # Preprocessing time       : 0.001 s
% 0.18/0.48  # Presaturation interreduction done
% 0.18/0.48  
% 0.18/0.48  # Proof found!
% 0.18/0.48  # SZS status Theorem
% 0.18/0.48  # SZS output start CNFRefutation
% See solution above
% 0.18/0.48  # Parsed axioms                        : 42
% 0.18/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.48  # Initial clauses                      : 23
% 0.18/0.48  # Removed in clause preprocessing      : 20
% 0.18/0.48  # Initial clauses in saturation        : 3
% 0.18/0.48  # Processed clauses                    : 1
% 0.18/0.48  # ...of these trivial                  : 0
% 0.18/0.48  # ...subsumed                          : 0
% 0.18/0.48  # ...remaining for further processing  : 0
% 0.18/0.48  # Other redundant clauses eliminated   : 0
% 0.18/0.48  # Clauses deleted for lack of memory   : 0
% 0.18/0.48  # Backward-subsumed                    : 0
% 0.18/0.48  # Backward-rewritten                   : 0
% 0.18/0.48  # Generated clauses                    : 0
% 0.18/0.48  # ...of the previous two non-redundant : 0
% 0.18/0.48  # ...aggressively subsumed             : 0
% 0.18/0.48  # Contextual simplify-reflections      : 0
% 0.18/0.48  # Paramodulations                      : 0
% 0.18/0.48  # Factorizations                       : 0
% 0.18/0.48  # NegExts                              : 0
% 0.18/0.48  # Equation resolutions                 : 0
% 0.18/0.48  # Disequality decompositions           : 0
% 0.18/0.48  # Total rewrite steps                  : 0
% 0.18/0.48  # ...of those cached                   : 0
% 0.18/0.48  # Propositional unsat checks           : 0
% 0.18/0.48  #    Propositional check models        : 0
% 0.18/0.48  #    Propositional check unsatisfiable : 0
% 0.18/0.48  #    Propositional clauses             : 0
% 0.18/0.48  #    Propositional clauses after purity: 0
% 0.18/0.48  #    Propositional unsat core size     : 0
% 0.18/0.48  #    Propositional preprocessing time  : 0.000
% 0.18/0.48  #    Propositional encoding time       : 0.000
% 0.18/0.48  #    Propositional solver time         : 0.000
% 0.18/0.48  #    Success case prop preproc time    : 0.000
% 0.18/0.48  #    Success case prop encoding time   : 0.000
% 0.18/0.48  #    Success case prop solver time     : 0.000
% 0.18/0.48  # Current number of processed clauses  : 0
% 0.18/0.48  #    Positive orientable unit clauses  : 0
% 0.18/0.48  #    Positive unorientable unit clauses: 0
% 0.18/0.48  #    Negative unit clauses             : 0
% 0.18/0.48  #    Non-unit-clauses                  : 0
% 0.18/0.48  # Current number of unprocessed clauses: 2
% 0.18/0.48  # ...number of literals in the above   : 4
% 0.18/0.48  # Current number of archived formulas  : 0
% 0.18/0.48  # Current number of archived clauses   : 0
% 0.18/0.48  # Clause-clause subsumption calls (NU) : 0
% 0.18/0.48  # Rec. Clause-clause subsumption calls : 0
% 0.18/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.18/0.48  # Unit Clause-clause subsumption calls : 0
% 0.18/0.48  # Rewrite failures with RHS unbound    : 0
% 0.18/0.48  # BW rewrite match attempts            : 0
% 0.18/0.48  # BW rewrite match successes           : 0
% 0.18/0.48  # Condensation attempts                : 1
% 0.18/0.48  # Condensation successes               : 0
% 0.18/0.48  # Termbank termtop insertions          : 1296
% 0.18/0.48  # Search garbage collected termcells   : 336
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.003 s
% 0.18/0.48  # System time              : 0.000 s
% 0.18/0.48  # Total time               : 0.004 s
% 0.18/0.48  # Maximum resident set size: 1864 pages
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.007 s
% 0.18/0.48  # System time              : 0.000 s
% 0.18/0.48  # Total time               : 0.007 s
% 0.18/0.48  # Maximum resident set size: 1756 pages
% 0.18/0.48  % E---3.1 exiting
% 0.18/0.49  % E exiting
%------------------------------------------------------------------------------