TSTP Solution File: ITP127^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP127^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 22:16:26 EDT 2024

% Result   : Theorem 0.16s 0.51s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   33 (  20 unt;  13 typ;   0 def)
%            Number of atoms       :   20 (  19 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  100 (   3   ~;   0   |;   0   &;  97   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    4 (   4 usr)
%            Number of type conns  :   48 (  48   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   35 (   6   ^  29   !;   0   ?;  35   :)

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

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

thf(decl_sort3,type,
    monomo197243225tT_a_m: $tType ).

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

thf(decl_23,type,
    counta472291938sert_c: c > countable_Set_cset_c > countable_Set_cset_c ).

thf(decl_27,type,
    comp_M750374444_m_m_c: ( monomo197243225tT_a_m > m ) > ( c > monomo197243225tT_a_m ) > c > m ).

thf(decl_43,type,
    monomo463139869_c_m_a: ( countable_Set_cset_c > ( c > m ) > m ) > countable_Set_cset_c > ( c > monomo197243225tT_a_m ) > monomo197243225tT_a_m ).

thf(decl_44,type,
    monomo412532791tT_m_a: m > monomo197243225tT_a_m ).

thf(decl_45,type,
    monomo624345106et_a_m: monomo197243225tT_a_m > m ).

thf(decl_46,type,
    bot_bo1320844070cset_c: countable_Set_cset_c ).

thf(decl_51,type,
    f: c > monomo197243225tT_a_m ).

thf(decl_52,type,
    mergec: countable_Set_cset_c > ( c > m ) > m ).

thf(decl_53,type,
    x: c ).

thf(fact_19_cset__nondetM__base_Oaltc__nondet__def,axiom,
    ( monomo463139869_c_m_a
    = ( ^ [X37: countable_Set_cset_c > ( c > m ) > m,X38: countable_Set_cset_c,X39: c > monomo197243225tT_a_m] : ( monomo412532791tT_m_a @ ( X37 @ X38 @ ( comp_M750374444_m_m_c @ monomo624345106et_a_m @ X39 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_cset__nondetM__base_Oaltc__nondet__def) ).

thf(fact_17_comp__apply,axiom,
    ( comp_M750374444_m_m_c
    = ( ^ [X18: monomo197243225tT_a_m > m,X32: c > monomo197243225tT_a_m,X33: c] : ( X18 @ ( X32 @ X33 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_comp__apply) ).

thf(conj_0,conjecture,
    ( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ x @ bot_bo1320844070cset_c ) @ f )
    = ( f @ x ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(fact_0_mergec__single,axiom,
    ! [X1: c,X2: c > m] :
      ( ( mergec @ ( counta472291938sert_c @ X1 @ bot_bo1320844070cset_c ) @ X2 )
      = ( X2 @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_mergec__single) ).

thf(fact_86_nondetT_Oexhaust__sel,axiom,
    ! [X10: monomo197243225tT_a_m] :
      ( X10
      = ( monomo412532791tT_m_a @ ( monomo624345106et_a_m @ X10 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_nondetT_Oexhaust__sel) ).

thf(c_0_5,plain,
    ! [X1792: countable_Set_cset_c > ( c > m ) > m,X1793: countable_Set_cset_c,X1794: c > monomo197243225tT_a_m] :
      ( ( monomo463139869_c_m_a @ X1792 @ X1793 @ X1794 )
      = ( monomo412532791tT_m_a @ ( X1792 @ X1793 @ ( comp_M750374444_m_m_c @ monomo624345106et_a_m @ X1794 ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_19_cset__nondetM__base_Oaltc__nondet__def])]) ).

thf(c_0_6,plain,
    ! [X1786: monomo197243225tT_a_m > m,X1787: c > monomo197243225tT_a_m,X1788: c] :
      ( ( comp_M750374444_m_m_c @ X1786 @ X1787 @ X1788 )
      = ( X1786 @ ( X1787 @ X1788 ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_17_comp__apply])]) ).

thf(c_0_7,negated_conjecture,
    ( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ x @ bot_bo1320844070cset_c ) @ f )
   != ( f @ x ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

thf(c_0_8,plain,
    ! [X1893: countable_Set_cset_c > ( c > m ) > m,X1894: countable_Set_cset_c,X1895: c > monomo197243225tT_a_m] :
      ( ( monomo463139869_c_m_a @ X1893 @ X1894 @ X1895 )
      = ( monomo412532791tT_m_a @ ( X1893 @ X1894 @ ( comp_M750374444_m_m_c @ monomo624345106et_a_m @ X1895 ) ) ) ),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

thf(c_0_9,plain,
    ! [X1845: c,X1846: c > m] :
      ( ( mergec @ ( counta472291938sert_c @ X1845 @ bot_bo1320844070cset_c ) @ X1846 )
      = ( X1846 @ X1845 ) ),
    inference(variable_rename,[status(thm)],[fact_0_mergec__single]) ).

thf(c_0_10,plain,
    ! [X1887: monomo197243225tT_a_m > m,X1888: c > monomo197243225tT_a_m,X1889: c] :
      ( ( comp_M750374444_m_m_c @ X1887 @ X1888 @ X1889 )
      = ( X1887 @ ( X1888 @ X1889 ) ) ),
    inference(variable_rename,[status(thm)],[c_0_6]) ).

thf(c_0_11,plain,
    ! [X2186: monomo197243225tT_a_m] :
      ( X2186
      = ( monomo412532791tT_m_a @ ( monomo624345106et_a_m @ X2186 ) ) ),
    inference(variable_rename,[status(thm)],[fact_86_nondetT_Oexhaust__sel]) ).

thf(c_0_12,negated_conjecture,
    ( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ x @ bot_bo1320844070cset_c ) @ f )
   != ( f @ x ) ),
    inference(fof_nnf,[status(thm)],[c_0_7]) ).

thf(c_0_13,plain,
    ! [X3: countable_Set_cset_c,X15: countable_Set_cset_c > ( c > m ) > m,X9: c > monomo197243225tT_a_m] :
      ( ( monomo463139869_c_m_a @ X15 @ X3 @ X9 )
      = ( monomo412532791tT_m_a @ ( X15 @ X3 @ ( comp_M750374444_m_m_c @ monomo624345106et_a_m @ X9 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_14,plain,
    ! [X2: c > m,X1: c] :
      ( ( mergec @ ( counta472291938sert_c @ X1 @ bot_bo1320844070cset_c ) @ X2 )
      = ( X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_15,plain,
    ! [X18: monomo197243225tT_a_m > m,X9: c > monomo197243225tT_a_m,X1: c] :
      ( ( comp_M750374444_m_m_c @ X18 @ X9 @ X1 )
      = ( X18 @ ( X9 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_16,plain,
    ! [X10: monomo197243225tT_a_m] :
      ( X10
      = ( monomo412532791tT_m_a @ ( monomo624345106et_a_m @ X10 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_17,negated_conjecture,
    ( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ x @ bot_bo1320844070cset_c ) @ f )
   != ( f @ x ) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

thf(c_0_18,plain,
    ! [X9: c > monomo197243225tT_a_m,X1: c] :
      ( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ X1 @ bot_bo1320844070cset_c ) @ X9 )
      = ( X9 @ X1 ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]) ).

thf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ITP127^1 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n032.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sat May 18 18:07:22 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.16/0.44  Running higher-order theorem proving
% 0.16/0.44  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
% 0.16/0.51  # Version: 3.1.0-ho
% 0.16/0.51  # partial match(1): HSLSSMSSSSSNHHA
% 0.16/0.51  # Preprocessing class: HSLSSMSSSSSCHHA.
% 0.16/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  # Starting new_ho_10 with 600s (2) cores
% 0.16/0.51  # Starting sh3 with 600s (2) cores
% 0.16/0.51  # Starting ho_unfolding_3 with 600s (2) cores
% 0.16/0.51  # Starting new_ho_10_cnf2 with 600s (2) cores
% 0.16/0.51  # new_ho_10 with pid 2428 completed with status 0
% 0.16/0.51  # Result found by new_ho_10
% 0.16/0.51  # partial match(1): HSLSSMSSSSSNHHA
% 0.16/0.51  # Preprocessing class: HSLSSMSSSSSCHHA.
% 0.16/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  # Starting new_ho_10 with 600s (2) cores
% 0.16/0.51  # No SInE strategy applied
% 0.16/0.51  # Search class: HGHSM-FSLF32-MHHFFSBN
% 0.16/0.51  # partial match(1): HGHSM-FSLM32-MHHFFSBN
% 0.16/0.51  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.16/0.51  # Starting sh3 with 325s (1) cores
% 0.16/0.51  # Starting new_ho_10 with 61s (1) cores
% 0.16/0.51  # sh3 with pid 2432 completed with status 0
% 0.16/0.51  # Result found by sh3
% 0.16/0.51  # partial match(1): HSLSSMSSSSSNHHA
% 0.16/0.51  # Preprocessing class: HSLSSMSSSSSCHHA.
% 0.16/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  # Starting new_ho_10 with 600s (2) cores
% 0.16/0.51  # No SInE strategy applied
% 0.16/0.51  # Search class: HGHSM-FSLF32-MHHFFSBN
% 0.16/0.51  # partial match(1): HGHSM-FSLM32-MHHFFSBN
% 0.16/0.51  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.16/0.51  # Starting sh3 with 325s (1) cores
% 0.16/0.51  # Preprocessing time       : 0.004 s
% 0.16/0.51  # Presaturation interreduction done
% 0.16/0.51  
% 0.16/0.51  # Proof found!
% 0.16/0.51  # SZS status Theorem
% 0.16/0.51  # SZS output start CNFRefutation
% See solution above
% 0.16/0.51  # Parsed axioms                        : 353
% 0.16/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.51  # Initial clauses                      : 516
% 0.16/0.51  # Removed in clause preprocessing      : 89
% 0.16/0.51  # Initial clauses in saturation        : 427
% 0.16/0.51  # Processed clauses                    : 667
% 0.16/0.51  # ...of these trivial                  : 72
% 0.16/0.51  # ...subsumed                          : 175
% 0.16/0.51  # ...remaining for further processing  : 420
% 0.16/0.51  # Other redundant clauses eliminated   : 109
% 0.16/0.51  # Clauses deleted for lack of memory   : 0
% 0.16/0.51  # Backward-subsumed                    : 1
% 0.16/0.51  # Backward-rewritten                   : 4
% 0.16/0.51  # Generated clauses                    : 701
% 0.16/0.51  # ...of the previous two non-redundant : 502
% 0.16/0.51  # ...aggressively subsumed             : 0
% 0.16/0.51  # Contextual simplify-reflections      : 4
% 0.16/0.51  # Paramodulations                      : 572
% 0.16/0.51  # Factorizations                       : 0
% 0.16/0.51  # NegExts                              : 0
% 0.16/0.51  # Equation resolutions                 : 114
% 0.16/0.51  # Disequality decompositions           : 0
% 0.16/0.51  # Total rewrite steps                  : 369
% 0.16/0.51  # ...of those cached                   : 193
% 0.16/0.51  # Propositional unsat checks           : 0
% 0.16/0.51  #    Propositional check models        : 0
% 0.16/0.51  #    Propositional check unsatisfiable : 0
% 0.16/0.51  #    Propositional clauses             : 0
% 0.16/0.51  #    Propositional clauses after purity: 0
% 0.16/0.51  #    Propositional unsat core size     : 0
% 0.16/0.51  #    Propositional preprocessing time  : 0.000
% 0.16/0.51  #    Propositional encoding time       : 0.000
% 0.16/0.51  #    Propositional solver time         : 0.000
% 0.16/0.51  #    Success case prop preproc time    : 0.000
% 0.16/0.51  #    Success case prop encoding time   : 0.000
% 0.16/0.51  #    Success case prop solver time     : 0.000
% 0.16/0.51  # Current number of processed clauses  : 126
% 0.16/0.51  #    Positive orientable unit clauses  : 52
% 0.16/0.51  #    Positive unorientable unit clauses: 1
% 0.16/0.51  #    Negative unit clauses             : 6
% 0.16/0.51  #    Non-unit-clauses                  : 67
% 0.16/0.51  # Current number of unprocessed clauses: 454
% 0.16/0.51  # ...number of literals in the above   : 1171
% 0.16/0.51  # Current number of archived formulas  : 0
% 0.16/0.51  # Current number of archived clauses   : 197
% 0.16/0.51  # Clause-clause subsumption calls (NU) : 5693
% 0.16/0.51  # Rec. Clause-clause subsumption calls : 4110
% 0.16/0.51  # Non-unit clause-clause subsumptions  : 123
% 0.16/0.51  # Unit Clause-clause subsumption calls : 452
% 0.16/0.51  # Rewrite failures with RHS unbound    : 0
% 0.16/0.51  # BW rewrite match attempts            : 1688
% 0.16/0.51  # BW rewrite match successes           : 16
% 0.16/0.51  # Condensation attempts                : 0
% 0.16/0.51  # Condensation successes               : 0
% 0.16/0.51  # Termbank termtop insertions          : 45715
% 0.16/0.51  # Search garbage collected termcells   : 11113
% 0.16/0.51  
% 0.16/0.51  # -------------------------------------------------
% 0.16/0.51  # User time                : 0.046 s
% 0.16/0.51  # System time              : 0.010 s
% 0.16/0.51  # Total time               : 0.056 s
% 0.16/0.51  # Maximum resident set size: 5028 pages
% 0.16/0.51  
% 0.16/0.51  # -------------------------------------------------
% 0.16/0.51  # User time                : 0.079 s
% 0.16/0.51  # System time              : 0.017 s
% 0.16/0.51  # Total time               : 0.096 s
% 0.16/0.51  # Maximum resident set size: 2580 pages
% 0.16/0.51  % E---3.1 exiting
% 0.16/0.52  % E exiting
%------------------------------------------------------------------------------