TSTP Solution File: ITP010_5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP010_5 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : Sat May  4 08:06:20 EDT 2024

% Result   : Theorem 11.46s 10.92s
% Output   : CNFRefutation 11.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   12 (   3 unt;   7 typ;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    8 (   4   ~;   0   |;   0   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    9 (   5   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn   8   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    del: $tType ).

tff(decl_22,type,
    bool: del ).

tff(decl_24,type,
    arr: ( del * del ) > del ).

tff(decl_25,type,
    mem: ( $i * del ) > $o ).

tff(decl_26,type,
    ap: ( $i * $i ) > $i ).

tff(decl_29,type,
    p: $i > $o ).

tff(decl_3036,type,
    c_2Ecardinal_2Ecardleq: ( del * del ) > $i ).

tff(conj_thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
    ! [X11: del,X14: del,X324] :
      ( mem(X324,arr(X11,bool))
     => ! [X55] :
          ( mem(X55,arr(X14,bool))
         => ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X11,X14),X324),X55))
          <=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X11,X14),X324),X55)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.UVoRCejsgw/E---3.1_7866.p',conj_thm_2Ecardinal_2ECARD__NOT__LE) ).

tff(c_0_1,negated_conjecture,
    ~ ! [X11: del,X14: del,X324] :
        ( mem(X324,arr(X11,bool))
       => ! [X55] : $true ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_thm_2Ecardinal_2ECARD__NOT__LE])]) ).

fof(c_0_2,negated_conjecture,
    ~ $true,
    inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).

cnf(c_0_3,negated_conjecture,
    $false,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[c_0_3]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 3.02/3.09  % Problem    : ITP010_5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 3.06/3.11  % Command    : run_E %s %d THM
% 3.06/3.31  % Computer : n002.cluster.edu
% 3.06/3.31  % Model    : x86_64 x86_64
% 3.06/3.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 3.06/3.31  % Memory   : 8042.1875MB
% 3.06/3.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 3.06/3.31  % CPULimit   : 300
% 3.06/3.31  % WCLimit    : 300
% 3.06/3.31  % DateTime   : Fri May  3 13:04:01 EDT 2024
% 3.06/3.31  % CPUTime    : 
% 8.81/9.04  Running first-order theorem proving
% 8.81/9.04  Running: /export/starexec/sandbox/solver/bin/eprover --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.UVoRCejsgw/E---3.1_7866.p
% 11.46/10.92  # Version: 3.1.0
% 11.46/10.92  # Preprocessing class: FMLLSMLLSSSNFFN.
% 11.46/10.92  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 11.46/10.92  # Starting new_bool_3 with 897s (3) cores
% 11.46/10.92  # Starting new_bool_1 with 897s (3) cores
% 11.46/10.92  # Starting sh5l with 299s (1) cores
% 11.46/10.92  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 11.46/10.92  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 7947 completed with status 0
% 11.46/10.92  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 11.46/10.92  # Preprocessing class: FMLLSMLLSSSNFFN.
% 11.46/10.92  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 11.46/10.92  # Starting new_bool_3 with 897s (3) cores
% 11.46/10.92  # Starting new_bool_1 with 897s (3) cores
% 11.46/10.92  # Starting sh5l with 299s (1) cores
% 11.46/10.92  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 11.46/10.92  # SinE strategy is gf120_gu_R02_F100_L20000
% 11.46/10.92  # Search class: FGHSM-SMLS33-DFFFFFNN
% 11.46/10.92  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 11.46/10.92  # Scheduled 6 strats onto 1 cores with 299 seconds (299 total)
% 11.46/10.92  # Starting SAT001_MinMin_p005000_rr with 162s (1) cores
% 11.46/10.92  # SAT001_MinMin_p005000_rr with pid 7948 completed with status 0
% 11.46/10.92  # Result found by SAT001_MinMin_p005000_rr
% 11.46/10.92  # Preprocessing class: FMLLSMLLSSSNFFN.
% 11.46/10.92  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 11.46/10.92  # Starting new_bool_3 with 897s (3) cores
% 11.46/10.92  # Starting new_bool_1 with 897s (3) cores
% 11.46/10.92  # Starting sh5l with 299s (1) cores
% 11.46/10.92  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 11.46/10.92  # SinE strategy is gf120_gu_R02_F100_L20000
% 11.46/10.92  # Search class: FGHSM-SMLS33-DFFFFFNN
% 11.46/10.92  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 11.46/10.92  # Scheduled 6 strats onto 1 cores with 299 seconds (299 total)
% 11.46/10.92  # Starting SAT001_MinMin_p005000_rr with 162s (1) cores
% 11.46/10.92  # Preprocessing time       : 0.045 s
% 11.46/10.92  # Presaturation interreduction done
% 11.46/10.92  
% 11.46/10.92  # Proof found!
% 11.46/10.92  # SZS status Theorem
% 11.46/10.92  # SZS output start CNFRefutation
% See solution above
% 11.46/10.92  # Parsed axioms                        : 11903
% 11.46/10.92  # Removed by relevancy pruning/SinE    : 11587
% 11.46/10.92  # Initial clauses                      : 1179
% 11.46/10.92  # Removed in clause preprocessing      : 32
% 11.46/10.92  # Initial clauses in saturation        : 1147
% 11.46/10.92  # Processed clauses                    : 1
% 11.46/10.92  # ...of these trivial                  : 0
% 11.46/10.92  # ...subsumed                          : 0
% 11.46/10.92  # ...remaining for further processing  : 0
% 11.46/10.92  # Other redundant clauses eliminated   : 0
% 11.46/10.92  # Clauses deleted for lack of memory   : 0
% 11.46/10.92  # Backward-subsumed                    : 0
% 11.46/10.92  # Backward-rewritten                   : 0
% 11.46/10.92  # Generated clauses                    : 0
% 11.46/10.92  # ...of the previous two non-redundant : 0
% 11.46/10.92  # ...aggressively subsumed             : 0
% 11.46/10.92  # Contextual simplify-reflections      : 0
% 11.46/10.92  # Paramodulations                      : 0
% 11.46/10.92  # Factorizations                       : 0
% 11.46/10.92  # NegExts                              : 0
% 11.46/10.92  # Equation resolutions                 : 0
% 11.46/10.92  # Disequality decompositions           : 0
% 11.46/10.92  # Total rewrite steps                  : 0
% 11.46/10.92  # ...of those cached                   : 0
% 11.46/10.92  # Propositional unsat checks           : 0
% 11.46/10.92  #    Propositional check models        : 0
% 11.46/10.92  #    Propositional check unsatisfiable : 0
% 11.46/10.92  #    Propositional clauses             : 0
% 11.46/10.92  #    Propositional clauses after purity: 0
% 11.46/10.92  #    Propositional unsat core size     : 0
% 11.46/10.92  #    Propositional preprocessing time  : 0.000
% 11.46/10.92  #    Propositional encoding time       : 0.000
% 11.46/10.92  #    Propositional solver time         : 0.000
% 11.46/10.92  #    Success case prop preproc time    : 0.000
% 11.46/10.92  #    Success case prop encoding time   : 0.000
% 11.46/10.92  #    Success case prop solver time     : 0.000
% 11.46/10.92  # Current number of processed clauses  : 0
% 11.46/10.92  #    Positive orientable unit clauses  : 0
% 11.46/10.92  #    Positive unorientable unit clauses: 0
% 11.46/10.92  #    Negative unit clauses             : 0
% 11.46/10.92  #    Non-unit-clauses                  : 0
% 11.46/10.92  # Current number of unprocessed clauses: 1146
% 11.46/10.92  # ...number of literals in the above   : 5913
% 11.46/10.92  # Current number of archived formulas  : 0
% 11.46/10.92  # Current number of archived clauses   : 0
% 11.46/10.92  # Clause-clause subsumption calls (NU) : 0
% 11.46/10.92  # Rec. Clause-clause subsumption calls : 0
% 11.46/10.92  # Non-unit clause-clause subsumptions  : 0
% 11.46/10.92  # Unit Clause-clause subsumption calls : 0
% 11.46/10.92  # Rewrite failures with RHS unbound    : 0
% 11.46/10.92  # BW rewrite match attempts            : 0
% 11.46/10.92  # BW rewrite match successes           : 0
% 11.46/10.92  # Condensation attempts                : 0
% 11.46/10.92  # Condensation successes               : 0
% 11.46/10.92  # Termbank termtop insertions          : 517596
% 11.46/10.92  # Search garbage collected termcells   : 247128
% 11.46/10.92  
% 11.46/10.92  # -------------------------------------------------
% 11.46/10.92  # User time                : 0.278 s
% 11.46/10.92  # System time              : 0.051 s
% 11.46/10.92  # Total time               : 0.329 s
% 11.46/10.92  # Maximum resident set size: 47080 pages
% 11.46/10.92  
% 11.46/10.92  # -------------------------------------------------
% 11.46/10.92  # User time                : 1.760 s
% 11.46/10.92  # System time              : 0.094 s
% 11.46/10.92  # Total time               : 1.854 s
% 11.46/10.92  # Maximum resident set size: 40052 pages
% 11.46/10.92  % E---3.1 exiting
% 11.74/10.92  % E exiting
%------------------------------------------------------------------------------