TSTP Solution File: ITP200^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP200^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 May 20 22:16:47 EDT 2024

% Result   : Theorem 0.39s 0.66s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   30 (  14 unt;  16 typ;   0 def)
%            Number of atoms       :   14 (  13 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   79 (   5   ~;   0   |;   0   &;  74   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    6 (   6 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :   15 (   0   ^  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    produc1418842292n_game: $tType ).

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

thf(decl_sort3,type,
    option_trm: $tType ).

thf(decl_sort4,type,
    set_variable: $tType ).

thf(decl_sort5,type,
    trm: $tType ).

thf(decl_sort6,type,
    fml: $tType ).

thf(decl_34,type,
    none_fml: option_fml ).

thf(decl_36,type,
    none_trm: option_trm ).

thf(decl_98,type,
    geq: trm > trm > fml ).

thf(decl_113,type,
    uSubst152838031e_Geqo: option_trm > option_trm > option_fml ).

thf(decl_124,type,
    uSubst516392804stappf: produc1418842292n_game > set_variable > fml > option_fml ).

thf(decl_125,type,
    uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).

thf(decl_159,type,
    ua: set_variable ).

thf(decl_160,type,
    eta: trm ).

thf(decl_165,type,
    sigma: produc1418842292n_game ).

thf(decl_166,type,
    theta: trm ).

thf(fact_2_Geq_Oprems_I1_J,axiom,
    ( ( uSubst516392804stappf @ sigma @ ua @ ( geq @ theta @ eta ) )
   != none_fml ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_Geq_Oprems_I1_J) ).

thf(fact_20_usubstappf_Osimps_I2_J,axiom,
    ! [X1: produc1418842292n_game,X2: set_variable,X3: trm,X4: trm] :
      ( ( uSubst516392804stappf @ X1 @ X2 @ ( geq @ X3 @ X4 ) )
      = ( uSubst152838031e_Geqo @ ( uSubst516392818stappt @ X1 @ X2 @ X3 ) @ ( uSubst516392818stappt @ X1 @ X2 @ X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_usubstappf_Osimps_I2_J) ).

thf(conj_0,conjecture,
    ( ( uSubst516392818stappt @ sigma @ ua @ theta )
   != none_trm ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(fact_15_Geqo_Osimps_I2_J,axiom,
    ! [X13: option_trm] :
      ( ( uSubst152838031e_Geqo @ none_trm @ X13 )
      = none_fml ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_Geqo_Osimps_I2_J) ).

thf(c_0_4,plain,
    ( ( uSubst516392804stappf @ sigma @ ua @ ( geq @ theta @ eta ) )
   != none_fml ),
    inference(fof_simplification,[status(thm)],[fact_2_Geq_Oprems_I1_J]) ).

thf(c_0_5,plain,
    ( ( uSubst516392804stappf @ sigma @ ua @ ( geq @ theta @ eta ) )
   != none_fml ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

thf(c_0_6,plain,
    ! [X1791: produc1418842292n_game,X1792: set_variable,X1793: trm,X1794: trm] :
      ( ( uSubst516392804stappf @ X1791 @ X1792 @ ( geq @ X1793 @ X1794 ) )
      = ( uSubst152838031e_Geqo @ ( uSubst516392818stappt @ X1791 @ X1792 @ X1793 ) @ ( uSubst516392818stappt @ X1791 @ X1792 @ X1794 ) ) ),
    inference(variable_rename,[status(thm)],[fact_20_usubstappf_Osimps_I2_J]) ).

thf(c_0_7,negated_conjecture,
    ( ( uSubst516392818stappt @ sigma @ ua @ theta )
    = none_trm ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

thf(c_0_8,plain,
    ! [X2287: option_trm] :
      ( ( uSubst152838031e_Geqo @ none_trm @ X2287 )
      = none_fml ),
    inference(variable_rename,[status(thm)],[fact_15_Geqo_Osimps_I2_J]) ).

thf(c_0_9,plain,
    ( ( uSubst516392804stappf @ sigma @ ua @ ( geq @ theta @ eta ) )
   != none_fml ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_10,plain,
    ! [X1: produc1418842292n_game,X2: set_variable,X3: trm,X4: trm] :
      ( ( uSubst516392804stappf @ X1 @ X2 @ ( geq @ X3 @ X4 ) )
      = ( uSubst152838031e_Geqo @ ( uSubst516392818stappt @ X1 @ X2 @ X3 ) @ ( uSubst516392818stappt @ X1 @ X2 @ X4 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_11,negated_conjecture,
    ( ( uSubst516392818stappt @ sigma @ ua @ theta )
    = none_trm ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_12,plain,
    ! [X6: option_trm] :
      ( ( uSubst152838031e_Geqo @ none_trm @ X6 )
      = none_fml ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_13,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : ITP200^1 : TPTP v8.2.0. Released v7.5.0.
% 0.14/0.15  % Command    : run_E %s %d THM
% 0.14/0.37  % Computer : n015.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Sat May 18 18:10:08 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.22/0.52  Running higher-order theorem proving
% 0.22/0.52  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
% 0.39/0.66  # Version: 3.1.0-ho
% 0.39/0.66  # Preprocessing class: HSLMSMSMSSLCHFA.
% 0.39/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.66  # Starting new_ho_3 with 1500s (5) cores
% 0.39/0.66  # Starting additional_ho_6 with 300s (1) cores
% 0.39/0.66  # Starting new_bool_9 with 300s (1) cores
% 0.39/0.66  # Starting new_ho_10 with 300s (1) cores
% 0.39/0.66  # new_ho_3 with pid 19779 completed with status 0
% 0.39/0.66  # Result found by new_ho_3
% 0.39/0.66  # Preprocessing class: HSLMSMSMSSLCHFA.
% 0.39/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.66  # Starting new_ho_3 with 1500s (5) cores
% 0.39/0.66  # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.39/0.66  # Search class: HGHSM-FSLS31-MHFFFSBN
% 0.39/0.66  # partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.39/0.66  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.66  # Starting new_ho_10 with 901s (1) cores
% 0.39/0.66  # Starting pre_casc_8 with 151s (1) cores
% 0.39/0.66  # Starting additional_ho_6 with 151s (1) cores
% 0.39/0.66  # Starting full_lambda_10 with 151s (1) cores
% 0.39/0.66  # Starting new_ho_3 with 146s (1) cores
% 0.39/0.66  # additional_ho_6 with pid 19787 completed with status 0
% 0.39/0.66  # Result found by additional_ho_6
% 0.39/0.66  # Preprocessing class: HSLMSMSMSSLCHFA.
% 0.39/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.66  # Starting new_ho_3 with 1500s (5) cores
% 0.39/0.66  # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.39/0.66  # Search class: HGHSM-FSLS31-MHFFFSBN
% 0.39/0.66  # partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.39/0.66  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.66  # Starting new_ho_10 with 901s (1) cores
% 0.39/0.66  # Starting pre_casc_8 with 151s (1) cores
% 0.39/0.66  # Starting additional_ho_6 with 151s (1) cores
% 0.39/0.66  # Preprocessing time       : 0.012 s
% 0.39/0.66  # Presaturation interreduction done
% 0.39/0.66  
% 0.39/0.66  # Proof found!
% 0.39/0.66  # SZS status Theorem
% 0.39/0.66  # SZS output start CNFRefutation
% See solution above
% 0.39/0.66  # Parsed axioms                        : 549
% 0.39/0.66  # Removed by relevancy pruning/SinE    : 313
% 0.39/0.66  # Initial clauses                      : 624
% 0.39/0.66  # Removed in clause preprocessing      : 128
% 0.39/0.66  # Initial clauses in saturation        : 496
% 0.39/0.66  # Processed clauses                    : 408
% 0.39/0.66  # ...of these trivial                  : 7
% 0.39/0.66  # ...subsumed                          : 47
% 0.39/0.66  # ...remaining for further processing  : 354
% 0.39/0.66  # Other redundant clauses eliminated   : 82
% 0.39/0.66  # Clauses deleted for lack of memory   : 0
% 0.39/0.66  # Backward-subsumed                    : 0
% 0.39/0.66  # Backward-rewritten                   : 4
% 0.39/0.66  # Generated clauses                    : 82
% 0.39/0.66  # ...of the previous two non-redundant : 65
% 0.39/0.66  # ...aggressively subsumed             : 0
% 0.39/0.66  # Contextual simplify-reflections      : 0
% 0.39/0.66  # Paramodulations                      : 0
% 0.39/0.66  # Factorizations                       : 0
% 0.39/0.66  # NegExts                              : 0
% 0.39/0.66  # Equation resolutions                 : 82
% 0.39/0.66  # Disequality decompositions           : 0
% 0.39/0.66  # Total rewrite steps                  : 30
% 0.39/0.66  # ...of those cached                   : 14
% 0.39/0.66  # Propositional unsat checks           : 0
% 0.39/0.66  #    Propositional check models        : 0
% 0.39/0.66  #    Propositional check unsatisfiable : 0
% 0.39/0.66  #    Propositional clauses             : 0
% 0.39/0.66  #    Propositional clauses after purity: 0
% 0.39/0.66  #    Propositional unsat core size     : 0
% 0.39/0.66  #    Propositional preprocessing time  : 0.000
% 0.39/0.66  #    Propositional encoding time       : 0.000
% 0.39/0.66  #    Propositional solver time         : 0.000
% 0.39/0.66  #    Success case prop preproc time    : 0.000
% 0.39/0.66  #    Success case prop encoding time   : 0.000
% 0.39/0.66  #    Success case prop solver time     : 0.000
% 0.39/0.66  # Current number of processed clauses  : 268
% 0.39/0.66  #    Positive orientable unit clauses  : 34
% 0.39/0.66  #    Positive unorientable unit clauses: 3
% 0.39/0.66  #    Negative unit clauses             : 24
% 0.39/0.66  #    Non-unit-clauses                  : 207
% 0.39/0.66  # Current number of unprocessed clauses: 153
% 0.39/0.66  # ...number of literals in the above   : 867
% 0.39/0.66  # Current number of archived formulas  : 0
% 0.39/0.66  # Current number of archived clauses   : 4
% 0.39/0.66  # Clause-clause subsumption calls (NU) : 12239
% 0.39/0.66  # Rec. Clause-clause subsumption calls : 9223
% 0.39/0.66  # Non-unit clause-clause subsumptions  : 34
% 0.39/0.66  # Unit Clause-clause subsumption calls : 265
% 0.39/0.66  # Rewrite failures with RHS unbound    : 2
% 0.39/0.66  # BW rewrite match attempts            : 27
% 0.39/0.66  # BW rewrite match successes           : 6
% 0.39/0.66  # Condensation attempts                : 0
% 0.39/0.66  # Condensation successes               : 0
% 0.39/0.66  # Termbank termtop insertions          : 51566
% 0.39/0.66  # Search garbage collected termcells   : 16564
% 0.39/0.66  
% 0.39/0.66  # -------------------------------------------------
% 0.39/0.66  # User time                : 0.092 s
% 0.39/0.66  # System time              : 0.010 s
% 0.39/0.66  # Total time               : 0.103 s
% 0.39/0.66  # Maximum resident set size: 5760 pages
% 0.39/0.66  
% 0.39/0.66  # -------------------------------------------------
% 0.39/0.66  # User time                : 0.261 s
% 0.39/0.66  # System time              : 0.036 s
% 0.39/0.66  # Total time               : 0.298 s
% 0.39/0.66  # Maximum resident set size: 3056 pages
% 0.39/0.66  % E---3.1 exiting
% 0.39/0.66  % E exiting
%------------------------------------------------------------------------------