TSTP Solution File: SWW473_3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW473_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:11:25 EDT 2023

% Result   : Timeout 118.84s 300.22s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   33 (   9 unt;  18 typ;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   24 (  11   ~;   8   |;   3   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   19 (  10   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  14 usr;  14 prp; 0-1 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_166,type,
    ord_le1311769555a_bool: fun_fu1471507361l_bool ).

tff(decl_194,type,
    image_pname_a: ( fun_pname_a * fun_pname_bool ) > fun_a_bool ).

tff(decl_231,type,
    insert_a: fun_a_1752562919a_bool ).

tff(decl_263,type,
    hAPP_a85458249l_bool: ( fun_a_1255737515l_bool * x_a ) > fun_fun_a_bool_bool ).

tff(decl_264,type,
    hAPP_a1206381875a_bool: ( fun_a_1752562919a_bool * x_a ) > fun_fu1731003005a_bool ).

tff(decl_265,type,
    hAPP_pname_a: ( fun_pname_a * pname ) > x_a ).

tff(decl_272,type,
    hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).

tff(decl_305,type,
    hAPP_fun_a_bool_bool: ( fun_fun_a_bool_bool * fun_a_bool ) > bool ).

tff(decl_307,type,
    hAPP_f2050579477a_bool: ( fun_fu1731003005a_bool * fun_a_bool ) > fun_a_bool ).

tff(decl_312,type,
    hAPP_f1631501043l_bool: ( fun_fu1471507361l_bool * fun_a_bool ) > fun_fun_a_bool_bool ).

tff(decl_317,type,
    hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).

tff(decl_368,type,
    hBOOL: bool > $o ).

tff(decl_369,type,
    member_a: fun_a_1255737515l_bool ).

tff(decl_370,type,
    member_pname: fun_pn422929397l_bool ).

tff(decl_377,type,
    g: fun_a_bool ).

tff(decl_379,type,
    u: fun_pname_bool ).

tff(decl_381,type,
    mgt_call: fun_pname_a ).

tff(decl_383,type,
    pn: pname ).

tff(conj_6,conjecture,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox/tmp/tmp.r4zGDEN6Rv/E---3.1_17841.p',conj_6) ).

tff(fact_453_insert__subset,axiom,
    ! [X995: x_a,X996: fun_a_bool,X997: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X995),X996)),X997))
    <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X995),X997))
        & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X996),X997)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.r4zGDEN6Rv/E---3.1_17841.p',fact_453_insert__subset) ).

tff(conj_1,hypothesis,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox/tmp/tmp.r4zGDEN6Rv/E---3.1_17841.p',conj_1) ).

tff(fact_434_imageI,axiom,
    ! [X948: fun_pname_a,X949: pname,X950: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X949),X950))
     => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X948,X949)),image_pname_a(X948,X950))) ),
    file('/export/starexec/sandbox/tmp/tmp.r4zGDEN6Rv/E---3.1_17841.p',fact_434_imageI) ).

tff(conj_4,hypothesis,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    file('/export/starexec/sandbox/tmp/tmp.r4zGDEN6Rv/E---3.1_17841.p',conj_4) ).

tff(c_0_5,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_6])]) ).

tff(c_0_6,plain,
    ! [X2370: x_a,X2371: fun_a_bool,X2372: fun_a_bool] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2370),X2372))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2370),X2371)),X2372)) )
      & ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2371),X2372))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2370),X2371)),X2372)) )
      & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2370),X2372))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2371),X2372))
        | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2370),X2371)),X2372)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_453_insert__subset])])]) ).

tcf(c_0_7,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

tcf(c_0_8,plain,
    ! [X82: x_a,X2: fun_a_bool,X1: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X82),X2)),X1))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X82),X1))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

tcf(c_0_9,hypothesis,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    inference(split_conjunct,[status(thm)],[conj_1]) ).

tff(c_0_10,plain,
    ! [X2826: fun_pname_a,X2827: pname,X2828: fun_pname_bool] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2827),X2828))
      | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2826,X2827)),image_pname_a(X2826,X2828))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_434_imageI])]) ).

tcf(c_0_11,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

tcf(c_0_12,plain,
    ! [X76: pname,X66: fun_pname_a,X8: fun_pname_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X66,X76)),image_pname_a(X66,X8)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X76),X8)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

tcf(c_0_13,hypothesis,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    inference(split_conjunct,[status(thm)],[conj_4]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SWW473_3 : TPTP v8.1.2. Released v5.3.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n020.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 22:25:16 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.51/0.67  Running first-order model finding
% 0.51/0.67  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.r4zGDEN6Rv/E---3.1_17841.p
% 118.84/300.22  # Version: 3.1pre001
% 118.84/300.22  # Preprocessing class: FMLMSMSMSSSNFFN.
% 118.84/300.22  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 118.84/300.22  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 118.84/300.22  # Starting new_bool_3 with 300s (1) cores
% 118.84/300.22  # Starting new_bool_1 with 300s (1) cores
% 118.84/300.22  # Starting sh5l with 300s (1) cores
% 118.84/300.22  # new_bool_1 with pid 17924 completed with status 0
% 118.84/300.22  # Result found by new_bool_1
% 118.84/300.22  # Preprocessing class: FMLMSMSMSSSNFFN.
% 118.84/300.22  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 118.84/300.22  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 118.84/300.22  # Starting new_bool_3 with 300s (1) cores
% 118.84/300.22  # Starting new_bool_1 with 300s (1) cores
% 118.84/300.22  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 118.84/300.22  # Search class: FGHSM-FSLM31-DFFFFFNN
% 118.84/300.22  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 118.84/300.22  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 118.84/300.22  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 17926 completed with status 0
% 118.84/300.22  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 118.84/300.22  # Preprocessing class: FMLMSMSMSSSNFFN.
% 118.84/300.22  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 118.84/300.22  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 118.84/300.22  # Starting new_bool_3 with 300s (1) cores
% 118.84/300.22  # Starting new_bool_1 with 300s (1) cores
% 118.84/300.22  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 118.84/300.22  # Search class: FGHSM-FSLM31-DFFFFFNN
% 118.84/300.22  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 118.84/300.22  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 118.84/300.22  # Preprocessing time       : 0.012 s
% 118.84/300.22  # Presaturation interreduction done
% 118.84/300.22  
% 118.84/300.22  # Proof found!
% 118.84/300.22  # SZS status Theorem
% 118.84/300.22  # SZS output start CNFRefutation
% See solution above
% 118.84/300.22  # Parsed axioms                        : 1811
% 118.84/300.22  # Removed by relevancy pruning/SinE    : 1309
% 118.84/300.22  # Initial clauses                      : 778
% 118.84/300.22  # Removed in clause preprocessing      : 39
% 118.84/300.22  # Initial clauses in saturation        : 739
% 118.84/300.22  # Processed clauses                    : 2184
% 118.84/300.22  # ...of these trivial                  : 32
% 118.84/300.22  # ...subsumed                          : 1024
% 118.84/300.22  # ...remaining for further processing  : 1128
% 118.84/300.22  # Other redundant clauses eliminated   : 164
% 118.84/300.22  # Clauses deleted for lack of memory   : 0
% 118.84/300.22  # Backward-subsumed                    : 10
% 118.84/300.22  # Backward-rewritten                   : 7
% 118.84/300.22  # Generated clauses                    : 4070
% 118.84/300.22  # ...of the previous two non-redundant : 3223
% 118.84/300.22  # ...aggressively subsumed             : 0
% 118.84/300.22  # Contextual simplify-reflections      : 5
% 118.84/300.22  # Paramodulations                      : 3906
% 118.84/300.22  # Factorizations                       : 0
% 118.84/300.22  # NegExts                              : 0
% 118.84/300.22  # Equation resolutions                 : 174
% 118.84/300.22  # Total rewrite steps                  : 1482
% 118.84/300.22  # Propositional unsat checks           : 0
% 118.84/300.22  #    Propositional check models        : 0
% 118.84/300.22  #    Propositional check unsatisfiable : 0
% 118.84/300.22  #    Propositional clauses             : 0
% 118.84/300.22  #    Propositional clauses after purity: 0
% 118.84/300.22  #    Propositional unsat core size     : 0
% 118.84/300.22  #    Propositional preprocessing time  : 0.000
% 118.84/300.22  #    Propositional encoding time       : 0.000
% 118.84/300.22  #    Propositional solver time         : 0.000
% 118.84/300.22  #    Success case prop preproc time    : 0.000
% 118.84/300.22  #    Success case prop encoding time   : 0.000
% 118.84/300.22  #    Success case prop solver time     : 0.000
% 118.84/300.22  # Current number of processed clauses  : 543
% 118.84/300.22  #    Positive orientable unit clauses  : 120
% 118.84/300.22  #    Positive unorientable unit clauses: 4
% 118.84/300.22  #    Negative unit clauses             : 49
% 118.84/300.22  #    Non-unit-clauses                  : 370
% 118.84/300.22  # Current number of unprocessed clauses: 2252
% 118.84/300.22  # ...number of literals in the above   : 5158
% 118.84/300.22  # Current number of archived formulas  : 0
% 118.84/300.22  # Current number of archived clauses   : 498
% 118.84/300.22  # Clause-clause subsumption calls (NU) : 30886
% 118.84/300.22  # Rec. Clause-clause subsumption calls : 25595
% 118.84/300.22  # Non-unit clause-clause subsumptions  : 654
% 118.84/300.22  # Unit Clause-clause subsumption calls : 966
% 118.84/300.22  # Rewrite failures with RHS unbound    : 0
% 118.84/300.22  # BW rewrite match attempts            : 523
% 118.84/300.22  # BW rewrite match successes           : 127
% 118.84/300.22  # Condensation attempts                : 0
% 118.84/300.22  # Condensation successes               : 0
% 118.84/300.22  # Termbank termtop insertions          : 149344
% 118.84/300.22  
% 118.84/300.22  # -------------------------------------------------
% 118.84/300.22  # User time                : 0.194 s
% 118.84/300.22  # System time              : 0.015 s
% 118.84/300.22  # Total time               : 0.209 s
% 118.84/300.22  # Maximum resident set size: 7388 pages
% 118.84/300.22  
% 118.84/300.22  # -------------------------------------------------
% 118.84/300.22  # User time                : 0.259 s
% 118.84/300.22  # System time              : 0.021 s
% 118.84/300.22  # Total time               : 0.280 s
% 118.84/300.22  # Maximum resident set size: 5232 pages
% 118.84/300.22  % E---3.1 exiting
%------------------------------------------------------------------------------