TSTP Solution File: SYO527^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO527^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 08:47:57 EDT 2024

% Result   : Theorem 0.20s 0.53s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :    8 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   27 (   3   ~;   0   |;   0   &;  24   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^   7   !;   3   ?;  10   :)

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

thf(decl_sort2,type,
    b: $tType ).

thf(decl_22,type,
    r: a > b > $o ).

thf(decl_23,type,
    esk1_1: a > b ).

thf(decl_24,type,
    esk2_1: ( a > b ) > a ).

thf(skolem,conjecture,
    ? [X3: a > b] :
    ! [X1: a] : ( r @ X1 @ ( X3 @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',skolem) ).

thf(rtotal,axiom,
    ! [X1: a] :
    ? [X2: b] : ( r @ X1 @ X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rtotal) ).

thf(c_0_2,negated_conjecture,
    ~ ? [X3: a > b] :
      ! [X1: a] : ( r @ X1 @ ( X3 @ X1 ) ),
    inference(assume_negation,[status(cth)],[skolem]) ).

thf(c_0_3,negated_conjecture,
    ! [X10: a > b] :
      ~ ( r @ ( esk2_1 @ X10 ) @ ( X10 @ ( esk2_1 @ X10 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

thf(c_0_4,plain,
    ! [X8: a] : ( r @ X8 @ ( esk1_1 @ X8 ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rtotal])]) ).

thf(c_0_5,negated_conjecture,
    ! [X3: a > b] :
      ~ ( r @ ( esk2_1 @ X3 ) @ ( X3 @ ( esk2_1 @ X3 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_6,plain,
    ! [X1: a] : ( r @ X1 @ ( esk1_1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO527^1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.12/0.35  % Computer : n007.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 10:23:08 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.20/0.52  Running higher-order theorem proving
% 0.20/0.52  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
% 0.20/0.53  # Version: 3.1.0-ho
% 0.20/0.53  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.20/0.53  # Starting post_as_ho10 with 300s (1) cores
% 0.20/0.53  # Starting new_bool_9 with 300s (1) cores
% 0.20/0.53  # Starting sh5l with 300s (1) cores
% 0.20/0.53  # post_as_ho10 with pid 5427 completed with status 0
% 0.20/0.53  # Result found by post_as_ho10
% 0.20/0.53  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.20/0.53  # Starting post_as_ho10 with 300s (1) cores
% 0.20/0.53  # No SInE strategy applied
% 0.20/0.53  # Search class: HUUNF-FFSF11-SSSFFFNN
% 0.20/0.53  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.53  # Starting new_ho_10 with 163s (1) cores
% 0.20/0.53  # new_ho_10 with pid 5431 completed with status 0
% 0.20/0.53  # Result found by new_ho_10
% 0.20/0.53  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.20/0.53  # Starting post_as_ho10 with 300s (1) cores
% 0.20/0.53  # No SInE strategy applied
% 0.20/0.53  # Search class: HUUNF-FFSF11-SSSFFFNN
% 0.20/0.53  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.53  # Starting new_ho_10 with 163s (1) cores
% 0.20/0.53  # Preprocessing time       : 0.001 s
% 0.20/0.53  # Presaturation interreduction done
% 0.20/0.53  
% 0.20/0.53  # Proof found!
% 0.20/0.53  # SZS status Theorem
% 0.20/0.53  # SZS output start CNFRefutation
% See solution above
% 0.20/0.53  # Parsed axioms                        : 5
% 0.20/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.53  # Initial clauses                      : 5
% 0.20/0.53  # Removed in clause preprocessing      : 3
% 0.20/0.53  # Initial clauses in saturation        : 2
% 0.20/0.53  # Processed clauses                    : 4
% 0.20/0.53  # ...of these trivial                  : 0
% 0.20/0.53  # ...subsumed                          : 0
% 0.20/0.53  # ...remaining for further processing  : 4
% 0.20/0.53  # Other redundant clauses eliminated   : 0
% 0.20/0.53  # Clauses deleted for lack of memory   : 0
% 0.20/0.53  # Backward-subsumed                    : 0
% 0.20/0.53  # Backward-rewritten                   : 0
% 0.20/0.53  # Generated clauses                    : 1
% 0.20/0.53  # ...of the previous two non-redundant : 0
% 0.20/0.53  # ...aggressively subsumed             : 0
% 0.20/0.53  # Contextual simplify-reflections      : 0
% 0.20/0.53  # Paramodulations                      : 1
% 0.20/0.53  # Factorizations                       : 0
% 0.20/0.53  # NegExts                              : 0
% 0.20/0.53  # Equation resolutions                 : 0
% 0.20/0.53  # Disequality decompositions           : 0
% 0.20/0.53  # Total rewrite steps                  : 0
% 0.20/0.53  # ...of those cached                   : 0
% 0.20/0.53  # Propositional unsat checks           : 0
% 0.20/0.53  #    Propositional check models        : 0
% 0.20/0.53  #    Propositional check unsatisfiable : 0
% 0.20/0.53  #    Propositional clauses             : 0
% 0.20/0.53  #    Propositional clauses after purity: 0
% 0.20/0.53  #    Propositional unsat core size     : 0
% 0.20/0.53  #    Propositional preprocessing time  : 0.000
% 0.20/0.53  #    Propositional encoding time       : 0.000
% 0.20/0.53  #    Propositional solver time         : 0.000
% 0.20/0.53  #    Success case prop preproc time    : 0.000
% 0.20/0.53  #    Success case prop encoding time   : 0.000
% 0.20/0.53  #    Success case prop solver time     : 0.000
% 0.20/0.53  # Current number of processed clauses  : 2
% 0.20/0.53  #    Positive orientable unit clauses  : 1
% 0.20/0.53  #    Positive unorientable unit clauses: 0
% 0.20/0.53  #    Negative unit clauses             : 1
% 0.20/0.53  #    Non-unit-clauses                  : 0
% 0.20/0.53  # Current number of unprocessed clauses: 0
% 0.20/0.53  # ...number of literals in the above   : 0
% 0.20/0.53  # Current number of archived formulas  : 0
% 0.20/0.53  # Current number of archived clauses   : 2
% 0.20/0.53  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.53  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.53  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.53  # Unit Clause-clause subsumption calls : 0
% 0.20/0.53  # Rewrite failures with RHS unbound    : 0
% 0.20/0.53  # BW rewrite match attempts            : 0
% 0.20/0.53  # BW rewrite match successes           : 0
% 0.20/0.53  # Condensation attempts                : 4
% 0.20/0.53  # Condensation successes               : 0
% 0.20/0.53  # Termbank termtop insertions          : 160
% 0.20/0.53  # Search garbage collected termcells   : 31
% 0.20/0.53  
% 0.20/0.53  # -------------------------------------------------
% 0.20/0.53  # User time                : 0.003 s
% 0.20/0.53  # System time              : 0.001 s
% 0.20/0.53  # Total time               : 0.004 s
% 0.20/0.53  # Maximum resident set size: 1576 pages
% 0.20/0.53  
% 0.20/0.53  # -------------------------------------------------
% 0.20/0.53  # User time                : 0.005 s
% 0.20/0.53  # System time              : 0.003 s
% 0.20/0.53  # Total time               : 0.007 s
% 0.20/0.53  # Maximum resident set size: 1720 pages
% 0.20/0.53  % E---3.1 exiting
% 0.20/0.53  % E exiting
%------------------------------------------------------------------------------