TSTP Solution File: ITP160^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP160^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 22:16:36 EDT 2024

% Result   : Theorem 0.22s 0.57s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   41 (   8 unt;  33 typ;   0 def)
%            Number of atoms       :    8 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  157 (   3   ~;   0   |;   0   &; 154   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (  10 avg)
%            Number of types       :   15 (  14 usr)
%            Number of type conns  :   54 (  54   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  19 usr;   3 con; 0-3 aty)
%            Number of variables   :    6 (   0   ^   6   !;   0   ?;   6   :)

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

thf(decl_sort2,type,
    refine432681134nres_b: $tType ).

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

thf(decl_sort4,type,
    refine440942639nres_c: $tType ).

thf(decl_sort5,type,
    refine449204144nres_d: $tType ).

thf(decl_sort6,type,
    refine424419629nres_a: $tType ).

thf(decl_sort7,type,
    produc2043357418nres_d: $tType ).

thf(decl_sort8,type,
    set_Pr797615136nres_d: $tType ).

thf(decl_sort9,type,
    set_Pr589481214nres_d: $tType ).

thf(decl_sort10,type,
    set_Product_prod_a_c: $tType ).

thf(decl_sort11,type,
    set_Pr1128439124nres_c: $tType ).

thf(decl_sort12,type,
    set_Product_prod_b_d: $tType ).

thf(decl_sort13,type,
    set_Pr1640496404nres_d: $tType ).

thf(decl_sort14,type,
    set_Pr24800800nres_d: $tType ).

thf(decl_138,type,
    produc1576596708nres_d: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc2043357418nres_d ).

thf(decl_181,type,
    refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(decl_185,type,
    refine2092371655nd_c_d: refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(decl_201,type,
    refine737062560el_a_c: set_Product_prod_a_c > set_Pr1128439124nres_c ).

thf(decl_206,type,
    refine1564831968el_b_d: set_Product_prod_b_d > set_Pr1640496404nres_d ).

thf(decl_254,type,
    fun_re1394577105nres_d: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(decl_285,type,
    fun_re439246495nres_d: set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(decl_301,type,
    fun_re1760530651nres_d: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(decl_331,type,
    relAPP511982311nres_d: ( set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(decl_369,type,
    relAPP98076839nres_d: ( set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(decl_412,type,
    relAPP1396672239nres_d: ( set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(decl_428,type,
    relAPP813854073nres_d: ( set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(decl_430,type,
    relAPP900772393nres_d: ( set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(decl_453,type,
    relAPP1270454529nres_d: ( set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(decl_462,type,
    relAPP527276399nres_c: ( set_Product_prod_a_c > set_Pr1128439124nres_c ) > set_Product_prod_a_c > set_Pr1128439124nres_c ).

thf(decl_473,type,
    relAPP1313094511nres_d: ( set_Product_prod_b_d > set_Pr1640496404nres_d ) > set_Product_prod_b_d > set_Pr1640496404nres_d ).

thf(decl_525,type,
    member65788417nres_d: produc2043357418nres_d > set_Pr24800800nres_d > $o ).

thf(decl_561,type,
    r1: set_Product_prod_a_c ).

thf(decl_562,type,
    r2: set_Product_prod_b_d ).

thf(conj_0,conjecture,
    member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(fact_4_param__bind,axiom,
    ! [X9: set_Product_prod_a_c,X10: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X9 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X9 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X10 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X10 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_param__bind) ).

thf(c_0_2,negated_conjecture,
    ~ ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

thf(c_0_3,negated_conjecture,
    ~ ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_2]) ).

thf(c_0_4,plain,
    ! [X1442: set_Product_prod_a_c,X1443: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X1442 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X1442 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1443 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1443 ) ) ) ),
    inference(variable_rename,[status(thm)],[fact_4_param__bind]) ).

thf(c_0_5,negated_conjecture,
    ~ ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_6,plain,
    ! [X7: set_Product_prod_a_c,X10: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X7 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X7 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X10 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X10 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP160^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.37  % Computer : n025.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 15:28:08 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.22/0.50  Running higher-order theorem proving
% 0.22/0.50  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
% 0.22/0.57  # Version: 3.1.0-ho
% 0.22/0.57  # partial match(1): HMLMSMSMSSLNHHA
% 0.22/0.57  # Preprocessing class: HMLMSMLMSSLNHHA.
% 0.22/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57  # Starting sh3 with 1500s (5) cores
% 0.22/0.57  # Starting pre_casc_2 with 300s (1) cores
% 0.22/0.57  # Starting sh2l with 300s (1) cores
% 0.22/0.57  # Starting pre_casc_6 with 300s (1) cores
% 0.22/0.57  # sh2l with pid 19608 completed with status 0
% 0.22/0.57  # Result found by sh2l
% 0.22/0.57  # partial match(1): HMLMSMSMSSLNHHA
% 0.22/0.57  # Preprocessing class: HMLMSMLMSSLNHHA.
% 0.22/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57  # Starting sh3 with 1500s (5) cores
% 0.22/0.57  # Starting pre_casc_2 with 300s (1) cores
% 0.22/0.57  # Starting sh2l with 300s (1) cores
% 0.22/0.57  # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.22/0.57  # Search class: HGUSM-FFMF31-MHHFFSBN
% 0.22/0.57  # partial match(3): HGUSF-FFSF11-MHHFFSBN
% 0.22/0.57  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.57  # Starting sh5l with 57s (1) cores
% 0.22/0.57  # sh5l with pid 19610 completed with status 0
% 0.22/0.57  # Result found by sh5l
% 0.22/0.57  # partial match(1): HMLMSMSMSSLNHHA
% 0.22/0.57  # Preprocessing class: HMLMSMLMSSLNHHA.
% 0.22/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57  # Starting sh3 with 1500s (5) cores
% 0.22/0.57  # Starting pre_casc_2 with 300s (1) cores
% 0.22/0.57  # Starting sh2l with 300s (1) cores
% 0.22/0.57  # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.22/0.57  # Search class: HGUSM-FFMF31-MHHFFSBN
% 0.22/0.57  # partial match(3): HGUSF-FFSF11-MHHFFSBN
% 0.22/0.57  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.57  # Starting sh5l with 57s (1) cores
% 0.22/0.57  # Preprocessing time       : 0.005 s
% 0.22/0.57  # Presaturation interreduction done
% 0.22/0.57  
% 0.22/0.57  # Proof found!
% 0.22/0.57  # SZS status Theorem
% 0.22/0.57  # SZS output start CNFRefutation
% See solution above
% 0.22/0.57  # Parsed axioms                        : 1079
% 0.22/0.57  # Removed by relevancy pruning/SinE    : 1035
% 0.22/0.57  # Initial clauses                      : 61
% 0.22/0.57  # Removed in clause preprocessing      : 6
% 0.22/0.57  # Initial clauses in saturation        : 55
% 0.22/0.57  # Processed clauses                    : 35
% 0.22/0.57  # ...of these trivial                  : 0
% 0.22/0.57  # ...subsumed                          : 12
% 0.22/0.57  # ...remaining for further processing  : 23
% 0.22/0.57  # Other redundant clauses eliminated   : 0
% 0.22/0.57  # Clauses deleted for lack of memory   : 0
% 0.22/0.57  # Backward-subsumed                    : 0
% 0.22/0.57  # Backward-rewritten                   : 1
% 0.22/0.57  # Generated clauses                    : 0
% 0.22/0.57  # ...of the previous two non-redundant : 0
% 0.22/0.57  # ...aggressively subsumed             : 0
% 0.22/0.57  # Contextual simplify-reflections      : 0
% 0.22/0.57  # Paramodulations                      : 0
% 0.22/0.57  # Factorizations                       : 0
% 0.22/0.57  # NegExts                              : 0
% 0.22/0.57  # Equation resolutions                 : 0
% 0.22/0.57  # Disequality decompositions           : 0
% 0.22/0.57  # Total rewrite steps                  : 1
% 0.22/0.57  # ...of those cached                   : 0
% 0.22/0.57  # Propositional unsat checks           : 0
% 0.22/0.57  #    Propositional check models        : 0
% 0.22/0.57  #    Propositional check unsatisfiable : 0
% 0.22/0.57  #    Propositional clauses             : 0
% 0.22/0.57  #    Propositional clauses after purity: 0
% 0.22/0.57  #    Propositional unsat core size     : 0
% 0.22/0.57  #    Propositional preprocessing time  : 0.000
% 0.22/0.57  #    Propositional encoding time       : 0.000
% 0.22/0.57  #    Propositional solver time         : 0.000
% 0.22/0.57  #    Success case prop preproc time    : 0.000
% 0.22/0.57  #    Success case prop encoding time   : 0.000
% 0.22/0.57  #    Success case prop solver time     : 0.000
% 0.22/0.57  # Current number of processed clauses  : 22
% 0.22/0.57  #    Positive orientable unit clauses  : 12
% 0.22/0.57  #    Positive unorientable unit clauses: 2
% 0.22/0.57  #    Negative unit clauses             : 0
% 0.22/0.57  #    Non-unit-clauses                  : 8
% 0.22/0.57  # Current number of unprocessed clauses: 20
% 0.22/0.57  # ...number of literals in the above   : 56
% 0.22/0.57  # Current number of archived formulas  : 0
% 0.22/0.57  # Current number of archived clauses   : 1
% 0.22/0.57  # Clause-clause subsumption calls (NU) : 21
% 0.22/0.57  # Rec. Clause-clause subsumption calls : 21
% 0.22/0.57  # Non-unit clause-clause subsumptions  : 12
% 0.22/0.57  # Unit Clause-clause subsumption calls : 1
% 0.22/0.57  # Rewrite failures with RHS unbound    : 0
% 0.22/0.57  # BW rewrite match attempts            : 24
% 0.22/0.57  # BW rewrite match successes           : 1
% 0.22/0.57  # Condensation attempts                : 35
% 0.22/0.57  # Condensation successes               : 0
% 0.22/0.57  # Termbank termtop insertions          : 13717
% 0.22/0.57  # Search garbage collected termcells   : 6504
% 0.22/0.57  
% 0.22/0.57  # -------------------------------------------------
% 0.22/0.57  # User time                : 0.014 s
% 0.22/0.57  # System time              : 0.006 s
% 0.22/0.57  # Total time               : 0.020 s
% 0.22/0.57  # Maximum resident set size: 4988 pages
% 0.22/0.57  
% 0.22/0.57  # -------------------------------------------------
% 0.22/0.57  # User time                : 0.053 s
% 0.22/0.57  # System time              : 0.011 s
% 0.22/0.57  # Total time               : 0.063 s
% 0.22/0.57  # Maximum resident set size: 3888 pages
% 0.22/0.57  % E---3.1 exiting
% 0.22/0.57  % E exiting
%------------------------------------------------------------------------------