TSTP Solution File: ITP010+5 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---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 : n023.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 08:08:48 EDT 2024

% Result   : Theorem 4.09s 3.00s
% Output   : CNFRefutation 4.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   3 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   12 (   4   ~;   0   |;   0   &)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
    ! [X9] :
      ( ne(X9)
     => ! [X11] :
          ( ne(X11)
         => ! [X168] :
              ( mem(X168,arr(X9,bool))
             => ! [X42] :
                  ( mem(X42,arr(X11,bool))
                 => ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X11),X168),X42))
                  <=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X11),X168),X42)) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ijlPe8HDH4/E---3.1_5350.p',conj_thm_2Ecardinal_2ECARD__NOT__LE) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X9] :
        ( ne(X9)
       => ! [X11] :
            ( ne(X11)
           => ! [X168] :
                ( mem(X168,arr(X9,bool))
               => ! [X42] : $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
% 0.04/0.12  % Problem    : ITP010+5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 12:37:54 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 1.74/1.94  Running first-order model finding
% 1.74/1.94  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ijlPe8HDH4/E---3.1_5350.p
% 4.09/3.00  # Version: 3.1.0
% 4.09/3.00  # Preprocessing class: FMLLSMLLSSSNFFN.
% 4.09/3.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.09/3.00  # Starting new_bool_3 with 900s (3) cores
% 4.09/3.00  # Starting new_bool_1 with 900s (3) cores
% 4.09/3.00  # Starting sh5l with 300s (1) cores
% 4.09/3.00  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 4.09/3.00  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 5430 completed with status 0
% 4.09/3.00  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 4.09/3.00  # Preprocessing class: FMLLSMLLSSSNFFN.
% 4.09/3.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.09/3.00  # Starting new_bool_3 with 900s (3) cores
% 4.09/3.00  # Starting new_bool_1 with 900s (3) cores
% 4.09/3.00  # Starting sh5l with 300s (1) cores
% 4.09/3.00  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 4.09/3.00  # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 4.09/3.00  # Search class: FGHSF-SMLM33-DFFFFFNN
% 4.09/3.00  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 4.09/3.00  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.09/3.00  # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 4.09/3.00  # SAT001_MinMin_p005000_rr with pid 5431 completed with status 0
% 4.09/3.00  # Result found by SAT001_MinMin_p005000_rr
% 4.09/3.00  # Preprocessing class: FMLLSMLLSSSNFFN.
% 4.09/3.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.09/3.00  # Starting new_bool_3 with 900s (3) cores
% 4.09/3.00  # Starting new_bool_1 with 900s (3) cores
% 4.09/3.00  # Starting sh5l with 300s (1) cores
% 4.09/3.00  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 4.09/3.00  # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 4.09/3.00  # Search class: FGHSF-SMLM33-DFFFFFNN
% 4.09/3.00  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 4.09/3.00  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.09/3.00  # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 4.09/3.00  # Preprocessing time       : 0.072 s
% 4.09/3.00  # Presaturation interreduction done
% 4.09/3.00  
% 4.09/3.00  # Proof found!
% 4.09/3.00  # SZS status Theorem
% 4.09/3.00  # SZS output start CNFRefutation
% See solution above
% 4.09/3.00  # Parsed axioms                        : 8598
% 4.09/3.00  # Removed by relevancy pruning/SinE    : 8097
% 4.09/3.00  # Initial clauses                      : 2537
% 4.09/3.00  # Removed in clause preprocessing      : 1001
% 4.09/3.00  # Initial clauses in saturation        : 1536
% 4.09/3.00  # Processed clauses                    : 1
% 4.09/3.00  # ...of these trivial                  : 0
% 4.09/3.00  # ...subsumed                          : 0
% 4.09/3.00  # ...remaining for further processing  : 0
% 4.09/3.00  # Other redundant clauses eliminated   : 0
% 4.09/3.00  # Clauses deleted for lack of memory   : 0
% 4.09/3.00  # Backward-subsumed                    : 0
% 4.09/3.00  # Backward-rewritten                   : 0
% 4.09/3.00  # Generated clauses                    : 0
% 4.09/3.00  # ...of the previous two non-redundant : 0
% 4.09/3.00  # ...aggressively subsumed             : 0
% 4.09/3.00  # Contextual simplify-reflections      : 0
% 4.09/3.00  # Paramodulations                      : 0
% 4.09/3.00  # Factorizations                       : 0
% 4.09/3.00  # NegExts                              : 0
% 4.09/3.00  # Equation resolutions                 : 0
% 4.09/3.00  # Disequality decompositions           : 0
% 4.09/3.00  # Total rewrite steps                  : 0
% 4.09/3.00  # ...of those cached                   : 0
% 4.09/3.00  # Propositional unsat checks           : 0
% 4.09/3.00  #    Propositional check models        : 0
% 4.09/3.00  #    Propositional check unsatisfiable : 0
% 4.09/3.00  #    Propositional clauses             : 0
% 4.09/3.00  #    Propositional clauses after purity: 0
% 4.09/3.00  #    Propositional unsat core size     : 0
% 4.09/3.00  #    Propositional preprocessing time  : 0.000
% 4.09/3.00  #    Propositional encoding time       : 0.000
% 4.09/3.00  #    Propositional solver time         : 0.000
% 4.09/3.00  #    Success case prop preproc time    : 0.000
% 4.09/3.00  #    Success case prop encoding time   : 0.000
% 4.09/3.00  #    Success case prop solver time     : 0.000
% 4.09/3.00  # Current number of processed clauses  : 0
% 4.09/3.00  #    Positive orientable unit clauses  : 0
% 4.09/3.00  #    Positive unorientable unit clauses: 0
% 4.09/3.00  #    Negative unit clauses             : 0
% 4.09/3.00  #    Non-unit-clauses                  : 0
% 4.09/3.00  # Current number of unprocessed clauses: 1535
% 4.09/3.00  # ...number of literals in the above   : 10202
% 4.09/3.00  # Current number of archived formulas  : 0
% 4.09/3.00  # Current number of archived clauses   : 0
% 4.09/3.00  # Clause-clause subsumption calls (NU) : 0
% 4.09/3.00  # Rec. Clause-clause subsumption calls : 0
% 4.09/3.00  # Non-unit clause-clause subsumptions  : 0
% 4.09/3.00  # Unit Clause-clause subsumption calls : 0
% 4.09/3.00  # Rewrite failures with RHS unbound    : 0
% 4.09/3.00  # BW rewrite match attempts            : 0
% 4.09/3.00  # BW rewrite match successes           : 0
% 4.09/3.00  # Condensation attempts                : 0
% 4.09/3.00  # Condensation successes               : 0
% 4.09/3.00  # Termbank termtop insertions          : 646843
% 4.09/3.00  # Search garbage collected termcells   : 259274
% 4.09/3.00  
% 4.09/3.00  # -------------------------------------------------
% 4.09/3.00  # User time                : 0.319 s
% 4.09/3.00  # System time              : 0.072 s
% 4.09/3.00  # Total time               : 0.391 s
% 4.09/3.00  # Maximum resident set size: 43916 pages
% 4.09/3.00  
% 4.09/3.00  # -------------------------------------------------
% 4.09/3.00  # User time                : 0.924 s
% 4.09/3.00  # System time              : 0.098 s
% 4.09/3.00  # Total time               : 1.022 s
% 4.09/3.00  # Maximum resident set size: 35328 pages
% 4.09/3.00  % E---3.1 exiting
%------------------------------------------------------------------------------