TSTP Solution File: ITP214^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP214^1 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 22:16:57 EDT 2024

% Result   : Theorem 5.39s 2.49s
% Output   : CNFRefutation 5.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   23 (   9 unt;  14 typ;   0 def)
%            Number of atoms       :    9 (   2 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   75 (   3   ~;   0   |;   0   &;  72   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    produc3658429121746597890et_nat: $tType ).

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

thf(decl_sort3,type,
    heap_e7401611519738050253t_unit: $tType ).

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

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

thf(decl_43,type,
    rep_assn: assn > produc3658429121746597890et_nat > $o ).

thf(decl_578,type,
    hoare_new_addrs: heap_e7401611519738050253t_unit > set_nat > heap_e7401611519738050253t_unit > set_nat ).

thf(decl_1252,type,
    produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > set_nat > produc3658429121746597890et_nat ).

thf(decl_1664,type,
    q: b > assn ).

thf(decl_1666,type,
    as: set_nat ).

thf(decl_1669,type,
    h: heap_e7401611519738050253t_unit ).

thf(decl_1670,type,
    h2: heap_e7401611519738050253t_unit ).

thf(decl_1671,type,
    h3: heap_e7401611519738050253t_unit ).

thf(decl_1673,type,
    rg: b ).

thf(conj_0,conjecture,
    rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h3 @ as @ h ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(fact_3_POST__G,axiom,
    rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ ( hoare_new_addrs @ h3 @ as @ h2 ) @ h ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_POST__G) ).

thf(fact_0__092_060open_062new__addrs_Ah_H_A_Inew__addrs_Ah_Aas_Ah_H_J_Ah_H_H_A_061_Anew__addrs_Ah_Aas_Ah_H_H_092_060close_062,axiom,
    ( ( hoare_new_addrs @ h2 @ ( hoare_new_addrs @ h3 @ as @ h2 ) @ h )
    = ( hoare_new_addrs @ h3 @ as @ h ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062new__addrs_Ah_H_A_Inew__addrs_Ah_Aas_Ah_H_J_Ah_H_H_A_061_Anew__addrs_Ah_Aas_Ah_H_H_092_060close_062) ).

thf(c_0_3,negated_conjecture,
    ~ ( rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h3 @ as @ h ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

thf(c_0_4,negated_conjecture,
    ~ ( rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h3 @ as @ h ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

thf(c_0_5,plain,
    rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ ( hoare_new_addrs @ h3 @ as @ h2 ) @ h ) ),
    inference(split_conjunct,[status(thm)],[fact_3_POST__G]) ).

thf(c_0_6,plain,
    ( ( hoare_new_addrs @ h2 @ ( hoare_new_addrs @ h3 @ as @ h2 ) @ h )
    = ( hoare_new_addrs @ h3 @ as @ h ) ),
    inference(split_conjunct,[status(thm)],[fact_0__092_060open_062new__addrs_Ah_H_A_Inew__addrs_Ah_Aas_Ah_H_J_Ah_H_H_A_061_Anew__addrs_Ah_Aas_Ah_H_H_092_060close_062]) ).

thf(c_0_7,negated_conjecture,
    ~ ( rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h3 @ as @ h ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_8,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : ITP214^1 : TPTP v8.2.0. Released v8.1.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat May 18 18:39:08 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  Running higher-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 5.39/2.49  # Version: 3.1.0-ho
% 5.39/2.49  # partial match(2): HMLMSMSMSSLCHFA
% 5.39/2.49  # Preprocessing class: HMLLSMLMSSLCHFA.
% 5.39/2.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.39/2.49  # Starting new_ho_10 with 1500s (5) cores
% 5.39/2.49  # Starting sh5l with 300s (1) cores
% 5.39/2.49  # Starting new_bool_1 with 300s (1) cores
% 5.39/2.49  # Starting new_bool_2 with 300s (1) cores
% 5.39/2.49  # new_bool_1 with pid 26556 completed with status 0
% 5.39/2.49  # Result found by new_bool_1
% 5.39/2.49  # partial match(2): HMLMSMSMSSLCHFA
% 5.39/2.49  # Preprocessing class: HMLLSMLMSSLCHFA.
% 5.39/2.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.39/2.49  # Starting new_ho_10 with 1500s (5) cores
% 5.39/2.49  # Starting sh5l with 300s (1) cores
% 5.39/2.49  # Starting new_bool_1 with 300s (1) cores
% 5.39/2.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.39/2.49  # Search class: HGHSM-SMLM32-DHFFFSBN
% 5.39/2.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 5.39/2.49  # Starting new_ho_10 with 181s (1) cores
% 5.39/2.49  # new_ho_10 with pid 26558 completed with status 0
% 5.39/2.49  # Result found by new_ho_10
% 5.39/2.49  # partial match(2): HMLMSMSMSSLCHFA
% 5.39/2.49  # Preprocessing class: HMLLSMLMSSLCHFA.
% 5.39/2.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.39/2.49  # Starting new_ho_10 with 1500s (5) cores
% 5.39/2.49  # Starting sh5l with 300s (1) cores
% 5.39/2.49  # Starting new_bool_1 with 300s (1) cores
% 5.39/2.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.39/2.49  # Search class: HGHSM-SMLM32-DHFFFSBN
% 5.39/2.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 5.39/2.49  # Starting new_ho_10 with 181s (1) cores
% 5.39/2.49  # Preprocessing time       : 0.090 s
% 5.39/2.49  # Presaturation interreduction done
% 5.39/2.49  
% 5.39/2.49  # Proof found!
% 5.39/2.49  # SZS status Theorem
% 5.39/2.49  # SZS output start CNFRefutation
% See solution above
% 5.39/2.49  # Parsed axioms                        : 12112
% 5.39/2.49  # Removed by relevancy pruning/SinE    : 10054
% 5.39/2.49  # Initial clauses                      : 3801
% 5.39/2.49  # Removed in clause preprocessing      : 174
% 5.39/2.49  # Initial clauses in saturation        : 3627
% 5.39/2.49  # Processed clauses                    : 183
% 5.39/2.49  # ...of these trivial                  : 19
% 5.39/2.49  # ...subsumed                          : 57
% 5.39/2.49  # ...remaining for further processing  : 106
% 5.39/2.49  # Other redundant clauses eliminated   : 43
% 5.39/2.49  # Clauses deleted for lack of memory   : 0
% 5.39/2.49  # Backward-subsumed                    : 3
% 5.39/2.49  # Backward-rewritten                   : 6
% 5.39/2.49  # Generated clauses                    : 43
% 5.39/2.49  # ...of the previous two non-redundant : 44
% 5.39/2.50  # ...aggressively subsumed             : 0
% 5.39/2.50  # Contextual simplify-reflections      : 0
% 5.39/2.50  # Paramodulations                      : 0
% 5.39/2.50  # Factorizations                       : 0
% 5.39/2.50  # NegExts                              : 0
% 5.39/2.50  # Equation resolutions                 : 43
% 5.39/2.50  # Disequality decompositions           : 0
% 5.39/2.50  # Total rewrite steps                  : 32
% 5.39/2.50  # ...of those cached                   : 12
% 5.39/2.50  # Propositional unsat checks           : 0
% 5.39/2.50  #    Propositional check models        : 0
% 5.39/2.50  #    Propositional check unsatisfiable : 0
% 5.39/2.50  #    Propositional clauses             : 0
% 5.39/2.50  #    Propositional clauses after purity: 0
% 5.39/2.50  #    Propositional unsat core size     : 0
% 5.39/2.50  #    Propositional preprocessing time  : 0.000
% 5.39/2.50  #    Propositional encoding time       : 0.000
% 5.39/2.50  #    Propositional solver time         : 0.000
% 5.39/2.50  #    Success case prop preproc time    : 0.000
% 5.39/2.50  #    Success case prop encoding time   : 0.000
% 5.39/2.50  #    Success case prop solver time     : 0.000
% 5.39/2.50  # Current number of processed clauses  : 54
% 5.39/2.50  #    Positive orientable unit clauses  : 27
% 5.39/2.50  #    Positive unorientable unit clauses: 0
% 5.39/2.50  #    Negative unit clauses             : 25
% 5.39/2.50  #    Non-unit-clauses                  : 2
% 5.39/2.50  # Current number of unprocessed clauses: 3488
% 5.39/2.50  # ...number of literals in the above   : 10097
% 5.39/2.50  # Current number of archived formulas  : 0
% 5.39/2.50  # Current number of archived clauses   : 9
% 5.39/2.50  # Clause-clause subsumption calls (NU) : 81
% 5.39/2.50  # Rec. Clause-clause subsumption calls : 65
% 5.39/2.50  # Non-unit clause-clause subsumptions  : 0
% 5.39/2.50  # Unit Clause-clause subsumption calls : 100
% 5.39/2.50  # Rewrite failures with RHS unbound    : 0
% 5.39/2.50  # BW rewrite match attempts            : 28
% 5.39/2.50  # BW rewrite match successes           : 6
% 5.39/2.50  # Condensation attempts                : 183
% 5.39/2.50  # Condensation successes               : 0
% 5.39/2.50  # Termbank termtop insertions          : 464329
% 5.39/2.50  # Search garbage collected termcells   : 182193
% 5.39/2.50  
% 5.39/2.50  # -------------------------------------------------
% 5.39/2.50  # User time                : 0.968 s
% 5.39/2.50  # System time              : 0.060 s
% 5.39/2.50  # Total time               : 1.028 s
% 5.39/2.50  # Maximum resident set size: 43712 pages
% 5.39/2.50  
% 5.39/2.50  # -------------------------------------------------
% 5.39/2.50  # User time                : 1.926 s
% 5.39/2.50  # System time              : 0.083 s
% 5.39/2.50  # Total time               : 2.010 s
% 5.39/2.50  # Maximum resident set size: 30492 pages
% 5.39/2.50  % E---3.1 exiting
% 5.39/2.50  % E exiting
%------------------------------------------------------------------------------