TSTP Solution File: SEU995^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU995^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 03:31:01 EDT 2024

% Result   : Theorem 0.20s 0.45s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   5 unt;   2 typ;   0 def)
%            Number of atoms       :   11 (  10 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   34 (   8   ~;   0   |;   1   &;  23   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^  15   !;   2   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    cV: $i ).

thf(decl_23,type,
    cU: $i ).

thf(cTHM24_pme,conjecture,
    ( ( cU != cV )
   => ? [X1: ( $i > $i ) > ( $i > $i ) > $i > $i] :
        ~ ! [X2: $i > $i,X3: $i > $i] :
            ( ( X1 @ X2 @ X3 )
            = ( X1 @ X3 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM24_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ( ( cU != cV )
     => ? [X1: ( $i > $i ) > ( $i > $i ) > $i > $i] :
          ~ ! [X2: $i > $i,X3: $i > $i] :
              ( ( X1 @ X2 @ X3 )
              = ( X1 @ X3 @ X2 ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM24_pme])]) ).

thf(c_0_2,negated_conjecture,
    ! [X7: ( $i > $i ) > ( $i > $i ) > $i > $i,X8: $i > $i,X9: $i > $i] :
      ( ( cU != cV )
      & ( ( X7 @ X8 @ X9 )
        = ( X7 @ X9 @ X8 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

thf(c_0_3,negated_conjecture,
    ! [X1: ( $i > $i ) > ( $i > $i ) > $i > $i,X3: $i > $i,X2: $i > $i] :
      ( ( X1 @ X2 @ X3 )
      = ( X1 @ X3 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    cU != cV,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ! [X1: ( $i > $i ) > ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i > $i,X10: $i] :
      ( ( X1 @ X2 @ X3 @ X10 )
      = ( X1 @ X3 @ X2 @ X10 ) ),
    inference(arg_cong,[status(thm)],[c_0_3]) ).

thf(c_0_6,negated_conjecture,
    ! [X2: $i > $i] :
      ( ( X2 @ cV )
     != cU ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU995^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 16:19:07 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.43  Running higher-order theorem proving
% 0.20/0.43  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
% 0.20/0.45  # Version: 3.1.0-ho
% 0.20/0.45  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.45  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.45  # Starting sh2lt with 1200s (4) cores
% 0.20/0.45  # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.45  # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.45  # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.45  # Starting ehoh_best3_rw with 300s (1) cores
% 0.20/0.45  # sh2lt with pid 2680 completed with status 8
% 0.20/0.45  # new_ho_10_unif with pid 2681 completed with status 0
% 0.20/0.45  # Result found by new_ho_10_unif
% 0.20/0.45  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.45  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.45  # Starting sh2lt with 1200s (4) cores
% 0.20/0.45  # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.45  # No SInE strategy applied
% 0.20/0.45  # Search class: HUUPF-FFSF00-SHHFFMNN
% 0.20/0.45  # partial match(2): HUHPF-FFSF00-SHHFFFNN
% 0.20/0.45  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.45  # Starting new_ho_10 with 163s (1) cores
% 0.20/0.45  # new_ho_10 with pid 2690 completed with status 9
% 0.20/0.45  # Starting new_ho_10_unif with 31s (1) cores
% 0.20/0.45  # new_ho_10_unif with pid 2695 completed with status 0
% 0.20/0.45  # Result found by new_ho_10_unif
% 0.20/0.45  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.45  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.45  # Starting sh2lt with 1200s (4) cores
% 0.20/0.45  # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.45  # No SInE strategy applied
% 0.20/0.45  # Search class: HUUPF-FFSF00-SHHFFMNN
% 0.20/0.45  # partial match(2): HUHPF-FFSF00-SHHFFFNN
% 0.20/0.45  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.45  # Starting new_ho_10 with 163s (1) cores
% 0.20/0.45  # new_ho_10 with pid 2690 completed with status 9
% 0.20/0.45  # Starting new_ho_10_unif with 31s (1) cores
% 0.20/0.45  # Preprocessing time       : 0.001 s
% 0.20/0.45  # Presaturation interreduction done
% 0.20/0.45  
% 0.20/0.45  # Proof found!
% 0.20/0.45  # SZS status Theorem
% 0.20/0.45  # SZS output start CNFRefutation
% See solution above
% 0.20/0.45  # Parsed axioms                        : 3
% 0.20/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.45  # Initial clauses                      : 4
% 0.20/0.45  # Removed in clause preprocessing      : 2
% 0.20/0.45  # Initial clauses in saturation        : 2
% 0.20/0.45  # Processed clauses                    : 12
% 0.20/0.45  # ...of these trivial                  : 0
% 0.20/0.45  # ...subsumed                          : 4
% 0.20/0.45  # ...remaining for further processing  : 8
% 0.20/0.45  # Other redundant clauses eliminated   : 0
% 0.20/0.45  # Clauses deleted for lack of memory   : 0
% 0.20/0.45  # Backward-subsumed                    : 1
% 0.20/0.45  # Backward-rewritten                   : 0
% 0.20/0.45  # Generated clauses                    : 144
% 0.20/0.45  # ...of the previous two non-redundant : 95
% 0.20/0.45  # ...aggressively subsumed             : 0
% 0.20/0.45  # Contextual simplify-reflections      : 0
% 0.20/0.45  # Paramodulations                      : 140
% 0.20/0.45  # Factorizations                       : 0
% 0.20/0.45  # NegExts                              : 0
% 0.20/0.45  # Equation resolutions                 : 1
% 0.20/0.45  # Disequality decompositions           : 0
% 0.20/0.45  # Total rewrite steps                  : 0
% 0.20/0.45  # ...of those cached                   : 0
% 0.20/0.45  # Propositional unsat checks           : 0
% 0.20/0.45  #    Propositional check models        : 0
% 0.20/0.45  #    Propositional check unsatisfiable : 0
% 0.20/0.45  #    Propositional clauses             : 0
% 0.20/0.45  #    Propositional clauses after purity: 0
% 0.20/0.45  #    Propositional unsat core size     : 0
% 0.20/0.45  #    Propositional preprocessing time  : 0.000
% 0.20/0.45  #    Propositional encoding time       : 0.000
% 0.20/0.45  #    Propositional solver time         : 0.000
% 0.20/0.45  #    Success case prop preproc time    : 0.000
% 0.20/0.45  #    Success case prop encoding time   : 0.000
% 0.20/0.45  #    Success case prop solver time     : 0.000
% 0.20/0.45  # Current number of processed clauses  : 5
% 0.20/0.45  #    Positive orientable unit clauses  : 0
% 0.20/0.45  #    Positive unorientable unit clauses: 3
% 0.20/0.45  #    Negative unit clauses             : 2
% 0.20/0.45  #    Non-unit-clauses                  : 0
% 0.20/0.45  # Current number of unprocessed clauses: 87
% 0.20/0.45  # ...number of literals in the above   : 87
% 0.20/0.45  # Current number of archived formulas  : 0
% 0.20/0.45  # Current number of archived clauses   : 3
% 0.20/0.45  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.45  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.45  # Unit Clause-clause subsumption calls : 5
% 0.20/0.45  # Rewrite failures with RHS unbound    : 0
% 0.20/0.45  # BW rewrite match attempts            : 36
% 0.20/0.45  # BW rewrite match successes           : 6
% 0.20/0.45  # Condensation attempts                : 12
% 0.20/0.45  # Condensation successes               : 0
% 0.20/0.45  # Termbank termtop insertions          : 3841
% 0.20/0.45  # Search garbage collected termcells   : 47
% 0.20/0.45  
% 0.20/0.45  # -------------------------------------------------
% 0.20/0.45  # User time                : 0.007 s
% 0.20/0.45  # System time              : 0.001 s
% 0.20/0.45  # Total time               : 0.008 s
% 0.20/0.45  # Maximum resident set size: 1608 pages
% 0.20/0.45  
% 0.20/0.45  # -------------------------------------------------
% 0.20/0.45  # User time                : 0.022 s
% 0.20/0.45  # System time              : 0.007 s
% 0.20/0.45  # Total time               : 0.029 s
% 0.20/0.45  # Maximum resident set size: 1716 pages
% 0.20/0.45  % E---3.1 exiting
% 0.20/0.45  % E exiting
%------------------------------------------------------------------------------