TSTP Solution File: SYN000^1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SYN000^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 : Mon Jun 24 19:07:32 EDT 2024

% Result   : Theorem 0.35s 0.52s
% Output   : CNFRefutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    9 (   3   ~;   0   |;   0   &;   6   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   2 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   0   ^   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_28,type,
    h: $i ).

thf(decl_31,type,
    p: $i > $o ).

thf(role_conjecture,conjecture,
    ? [X1: $i] : ( p @ X1 ),
    file('/export/starexec/sandbox/tmp/tmp.hKpYFUSE0E/E---3.1_6406.p',role_conjecture) ).

thf(role_hypothesis,hypothesis,
    p @ h,
    file('/export/starexec/sandbox/tmp/tmp.hKpYFUSE0E/E---3.1_6406.p',role_hypothesis) ).

thf(c_0_2,negated_conjecture,
    ~ ? [X1: $i] : ( p @ X1 ),
    inference(assume_negation,[status(cth)],[role_conjecture]) ).

thf(c_0_3,negated_conjecture,
    ! [X9: $i] :
      ~ ( p @ X9 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

thf(c_0_4,hypothesis,
    p @ h,
    inference(split_conjunct,[status(thm)],[role_hypothesis]) ).

thf(c_0_5,negated_conjecture,
    ! [X1: $i] :
      ~ ( p @ X1 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_6,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_4,c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN000^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n001.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun Jun 23 20:30:24 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.21/0.51  Running higher-order theorem proving
% 0.21/0.51  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/tmp/tmp.hKpYFUSE0E/E---3.1_6406.p
% 0.35/0.52  # Version: 3.2.0-ho
% 0.35/0.52  # partial match(2): HSMSSLSSSSSNFFN
% 0.35/0.52  # Preprocessing class: HSMSSLSSSSMNHFN.
% 0.35/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.52  # Starting new_ho_10 with 1500s (5) cores
% 0.35/0.52  # Starting sh5l with 300s (1) cores
% 0.35/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.35/0.52  # Starting new_bool_2 with 300s (1) cores
% 0.35/0.52  # new_bool_1 with pid 6487 completed with status 0
% 0.35/0.52  # Result found by new_bool_1
% 0.35/0.52  # partial match(2): HSMSSLSSSSSNFFN
% 0.35/0.52  # Preprocessing class: HSMSSLSSSSMNHFN.
% 0.35/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.52  # Starting new_ho_10 with 1500s (5) cores
% 0.35/0.52  # Starting sh5l with 300s (1) cores
% 0.35/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.35/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.52  # Search class: HUUNF-FFSF00-SHFFFFNN
% 0.35/0.52  # partial match(1): HUUNF-FFSF00-SFFFFFNN
% 0.35/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.35/0.52  # Starting new_ho_10 with 181s (1) cores
% 0.35/0.52  # new_ho_10 with pid 6489 completed with status 0
% 0.35/0.52  # Result found by new_ho_10
% 0.35/0.52  # partial match(2): HSMSSLSSSSSNFFN
% 0.35/0.52  # Preprocessing class: HSMSSLSSSSMNHFN.
% 0.35/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.52  # Starting new_ho_10 with 1500s (5) cores
% 0.35/0.52  # Starting sh5l with 300s (1) cores
% 0.35/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.35/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.52  # Search class: HUUNF-FFSF00-SHFFFFNN
% 0.35/0.52  # partial match(1): HUUNF-FFSF00-SFFFFFNN
% 0.35/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.35/0.52  # Starting new_ho_10 with 181s (1) cores
% 0.35/0.52  # Preprocessing time       : 0.001 s
% 0.35/0.52  # Presaturation interreduction done
% 0.35/0.52  
% 0.35/0.52  # Proof found!
% 0.35/0.52  # SZS status Theorem
% 0.35/0.52  # SZS output start CNFRefutation
% See solution above
% 0.35/0.52  # Parsed axioms                        : 42
% 0.35/0.52  # Removed by relevancy pruning/SinE    : 40
% 0.35/0.52  # Initial clauses                      : 2
% 0.35/0.52  # Removed in clause preprocessing      : 0
% 0.35/0.52  # Initial clauses in saturation        : 2
% 0.35/0.52  # Processed clauses                    : 2
% 0.35/0.52  # ...of these trivial                  : 0
% 0.35/0.52  # ...subsumed                          : 0
% 0.35/0.52  # ...remaining for further processing  : 2
% 0.35/0.52  # Other redundant clauses eliminated   : 0
% 0.35/0.52  # Clauses deleted for lack of memory   : 0
% 0.35/0.52  # Backward-subsumed                    : 0
% 0.35/0.52  # Backward-rewritten                   : 0
% 0.35/0.52  # Generated clauses                    : 1
% 0.35/0.52  # ...of the previous two non-redundant : 0
% 0.35/0.52  # ...aggressively subsumed             : 0
% 0.35/0.52  # Contextual simplify-reflections      : 0
% 0.35/0.52  # Paramodulations                      : 0
% 0.35/0.52  # Factorizations                       : 0
% 0.35/0.52  # NegExts                              : 0
% 0.35/0.52  # Equation resolutions                 : 0
% 0.35/0.52  # Disequality decompositions           : 0
% 0.35/0.52  # Total rewrite steps                  : 0
% 0.35/0.52  # ...of those cached                   : 0
% 0.35/0.52  # Propositional unsat checks           : 0
% 0.35/0.52  #    Propositional check models        : 0
% 0.35/0.52  #    Propositional check unsatisfiable : 0
% 0.35/0.52  #    Propositional clauses             : 0
% 0.35/0.52  #    Propositional clauses after purity: 0
% 0.35/0.52  #    Propositional unsat core size     : 0
% 0.35/0.52  #    Propositional preprocessing time  : 0.000
% 0.35/0.52  #    Propositional encoding time       : 0.000
% 0.35/0.52  #    Propositional solver time         : 0.000
% 0.35/0.52  #    Success case prop preproc time    : 0.000
% 0.35/0.52  #    Success case prop encoding time   : 0.000
% 0.35/0.52  #    Success case prop solver time     : 0.000
% 0.35/0.52  # Current number of processed clauses  : 1
% 0.35/0.52  #    Positive orientable unit clauses  : 0
% 0.35/0.52  #    Positive unorientable unit clauses: 0
% 0.35/0.52  #    Negative unit clauses             : 1
% 0.35/0.52  #    Non-unit-clauses                  : 0
% 0.35/0.52  # Current number of unprocessed clauses: 0
% 0.35/0.52  # ...number of literals in the above   : 0
% 0.35/0.52  # Current number of archived formulas  : 0
% 0.35/0.52  # Current number of archived clauses   : 1
% 0.35/0.52  # Clause-clause subsumption calls (NU) : 0
% 0.35/0.52  # Rec. Clause-clause subsumption calls : 0
% 0.35/0.52  # Non-unit clause-clause subsumptions  : 0
% 0.35/0.52  # Unit Clause-clause subsumption calls : 0
% 0.35/0.52  # Rewrite failures with RHS unbound    : 0
% 0.35/0.52  # BW rewrite match attempts            : 0
% 0.35/0.52  # BW rewrite match successes           : 0
% 0.35/0.52  # Condensation attempts                : 2
% 0.35/0.52  # Condensation successes               : 0
% 0.35/0.52  # Termbank termtop insertions          : 283
% 0.35/0.52  # Search garbage collected termcells   : 112
% 0.35/0.52  
% 0.35/0.52  # -------------------------------------------------
% 0.35/0.52  # User time                : 0.002 s
% 0.35/0.52  # System time              : 0.002 s
% 0.35/0.52  # Total time               : 0.004 s
% 0.35/0.52  # Maximum resident set size: 1844 pages
% 0.35/0.52  
% 0.35/0.52  # -------------------------------------------------
% 0.35/0.52  # User time                : 0.004 s
% 0.35/0.52  # System time              : 0.004 s
% 0.35/0.52  # Total time               : 0.008 s
% 0.35/0.52  # Maximum resident set size: 1764 pages
% 0.35/0.52  % E---3.1 exiting
% 0.35/0.52  % E exiting
%------------------------------------------------------------------------------