TSTP Solution File: SWW473_1 by E-SAT---3.1.00

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%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWW473_1 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : Tue May 21 06:45:49 EDT 2024

% Result   : Theorem 0.20s 0.54s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   43 (  10 unt;  27 typ;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   25 (  12   ~;   8   |;   3   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :   12 (  11 usr)
%            Number of type conns  :   17 (   9   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    fun_fu1471507361l_bool: $tType ).

tff(decl_sort2,type,
    fun_pname_a: $tType ).

tff(decl_sort3,type,
    fun_a_bool: $tType ).

tff(decl_sort4,type,
    fun_pname_bool: $tType ).

tff(decl_sort5,type,
    fun_fun_a_bool_bool: $tType ).

tff(decl_sort6,type,
    fun_fu1430349052l_bool: $tType ).

tff(decl_sort7,type,
    fun_a_1255737515l_bool: $tType ).

tff(decl_sort8,type,
    fun_pn422929397l_bool: $tType ).

tff(decl_sort9,type,
    bool: $tType ).

tff(decl_sort10,type,
    x_a: $tType ).

tff(decl_sort11,type,
    pname: $tType ).

tff(decl_84,type,
    ord_le1311769555a_bool: fun_fu1471507361l_bool ).

tff(decl_108,type,
    image_pname_a: ( fun_pname_a * fun_pname_bool ) > fun_a_bool ).

tff(decl_143,type,
    insert_a: ( x_a * fun_a_bool ) > fun_a_bool ).

tff(decl_166,type,
    hAPP_a85458249l_bool: ( fun_a_1255737515l_bool * x_a ) > fun_fun_a_bool_bool ).

tff(decl_167,type,
    hAPP_pname_a: ( fun_pname_a * pname ) > x_a ).

tff(decl_172,type,
    hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).

tff(decl_182,type,
    hAPP_fun_a_bool_bool: ( fun_fun_a_bool_bool * fun_a_bool ) > bool ).

tff(decl_186,type,
    hAPP_f1631501043l_bool: ( fun_fu1471507361l_bool * fun_a_bool ) > fun_fun_a_bool_bool ).

tff(decl_188,type,
    hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).

tff(decl_224,type,
    hBOOL: bool > $o ).

tff(decl_225,type,
    member_a: fun_a_1255737515l_bool ).

tff(decl_226,type,
    member_pname: fun_pn422929397l_bool ).

tff(decl_231,type,
    g: fun_a_bool ).

tff(decl_233,type,
    u: fun_pname_bool ).

tff(decl_234,type,
    mgt_call: fun_pname_a ).

tff(decl_236,type,
    pn: pname ).

tff(conj_6,conjecture,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).

tff(fact_274_insert__subset,axiom,
    ! [X464: x_a,X465: fun_a_bool,X466: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X464,X465)),X466))
    <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X464),X466))
        & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X465),X466)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_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/benchmark/theBenchmark.p',conj_1) ).

tff(fact_261_imageI,axiom,
    ! [X437: fun_pname_a,X438: pname,X439: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X438),X439))
     => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X437,X438)),image_pname_a(X437,X439))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_imageI) ).

tff(conj_4,hypothesis,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

tff(c_0_5,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_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,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

tff(c_0_7,plain,
    ! [X720: x_a,X721: fun_a_bool,X722: fun_a_bool] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X720),X722))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X720,X721)),X722)) )
      & ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X721),X722))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X720,X721)),X722)) )
      & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X720),X722))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X721),X722))
        | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X720,X721)),X722)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_274_insert__subset])])])]) ).

tcf(c_0_8,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

tcf(c_0_9,plain,
    ! [X74: x_a,X2: fun_a_bool,X1: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X74,X2)),X1))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X74),X1))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

tcf(c_0_10,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_11,plain,
    ! [X884: fun_pname_a,X885: pname,X886: fun_pname_bool] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X885),X886))
      | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X884,X885)),image_pname_a(X884,X886))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_261_imageI])])]) ).

tcf(c_0_12,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_8,c_0_9]),c_0_10])]) ).

tcf(c_0_13,plain,
    ! [X77: pname,X12: fun_pname_a,X4: fun_pname_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X12,X77)),image_pname_a(X12,X4)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X77),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

tcf(c_0_14,hypothesis,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    inference(split_conjunct,[status(thm)],[conj_4]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW473_1 : TPTP v8.2.0. Released v5.3.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 20:00:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  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/benchmark/theBenchmark.p
% 0.20/0.54  # Version: 3.1.0
% 0.20/0.54  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.20/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.20/0.54  # Starting new_bool_3 with 600s (2) cores
% 0.20/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54  # Starting sh5l with 300s (1) cores
% 0.20/0.54  # new_bool_3 with pid 19065 completed with status 0
% 0.20/0.54  # Result found by new_bool_3
% 0.20/0.54  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.20/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.20/0.54  # Starting new_bool_3 with 600s (2) cores
% 0.20/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.54  # Search class: FGHSM-FSLS32-MFFFFFNN
% 0.20/0.54  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.20/0.54  # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with 300s (1) cores
% 0.20/0.54  # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S0V with 75s (1) cores
% 0.20/0.54  # G-E--_200_C45_F1_SE_CS_SP_PI_CO_S0V with pid 19070 completed with status 0
% 0.20/0.54  # Result found by G-E--_200_C45_F1_SE_CS_SP_PI_CO_S0V
% 0.20/0.54  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.20/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.20/0.54  # Starting new_bool_3 with 600s (2) cores
% 0.20/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.54  # Search class: FGHSM-FSLS32-MFFFFFNN
% 0.20/0.54  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.20/0.54  # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V with 300s (1) cores
% 0.20/0.54  # Starting G-E--_200_C45_F1_SE_CS_SP_PI_CO_S0V with 75s (1) cores
% 0.20/0.54  # Preprocessing time       : 0.005 s
% 0.20/0.54  
% 0.20/0.54  # Proof found!
% 0.20/0.54  # SZS status Theorem
% 0.20/0.54  # SZS output start CNFRefutation
% See solution above
% 0.20/0.54  # Parsed axioms                        : 673
% 0.20/0.54  # Removed by relevancy pruning/SinE    : 509
% 0.20/0.54  # Initial clauses                      : 224
% 0.20/0.54  # Removed in clause preprocessing      : 5
% 0.20/0.54  # Initial clauses in saturation        : 219
% 0.20/0.54  # Processed clauses                    : 222
% 0.20/0.54  # ...of these trivial                  : 4
% 0.20/0.54  # ...subsumed                          : 38
% 0.20/0.54  # ...remaining for further processing  : 180
% 0.20/0.54  # Other redundant clauses eliminated   : 33
% 0.20/0.54  # Clauses deleted for lack of memory   : 0
% 0.20/0.54  # Backward-subsumed                    : 0
% 0.20/0.54  # Backward-rewritten                   : 0
% 0.20/0.54  # Generated clauses                    : 781
% 0.20/0.54  # ...of the previous two non-redundant : 604
% 0.20/0.54  # ...aggressively subsumed             : 0
% 0.20/0.54  # Contextual simplify-reflections      : 0
% 0.20/0.54  # Paramodulations                      : 736
% 0.20/0.54  # Factorizations                       : 8
% 0.20/0.54  # NegExts                              : 0
% 0.20/0.54  # Equation resolutions                 : 37
% 0.20/0.54  # Disequality decompositions           : 0
% 0.20/0.54  # Total rewrite steps                  : 130
% 0.20/0.54  # ...of those cached                   : 81
% 0.20/0.54  # Propositional unsat checks           : 0
% 0.20/0.54  #    Propositional check models        : 0
% 0.20/0.54  #    Propositional check unsatisfiable : 0
% 0.20/0.54  #    Propositional clauses             : 0
% 0.20/0.54  #    Propositional clauses after purity: 0
% 0.20/0.54  #    Propositional unsat core size     : 0
% 0.20/0.54  #    Propositional preprocessing time  : 0.000
% 0.20/0.54  #    Propositional encoding time       : 0.000
% 0.20/0.54  #    Propositional solver time         : 0.000
% 0.20/0.54  #    Success case prop preproc time    : 0.000
% 0.20/0.54  #    Success case prop encoding time   : 0.000
% 0.20/0.54  #    Success case prop solver time     : 0.000
% 0.20/0.54  # Current number of processed clauses  : 149
% 0.20/0.54  #    Positive orientable unit clauses  : 24
% 0.20/0.54  #    Positive unorientable unit clauses: 4
% 0.20/0.54  #    Negative unit clauses             : 5
% 0.20/0.54  #    Non-unit-clauses                  : 116
% 0.20/0.54  # Current number of unprocessed clauses: 601
% 0.20/0.54  # ...number of literals in the above   : 1611
% 0.20/0.54  # Current number of archived formulas  : 0
% 0.20/0.54  # Current number of archived clauses   : 0
% 0.20/0.54  # Clause-clause subsumption calls (NU) : 1139
% 0.20/0.54  # Rec. Clause-clause subsumption calls : 1056
% 0.20/0.54  # Non-unit clause-clause subsumptions  : 37
% 0.20/0.54  # Unit Clause-clause subsumption calls : 57
% 0.20/0.54  # Rewrite failures with RHS unbound    : 0
% 0.20/0.54  # BW rewrite match attempts            : 19
% 0.20/0.54  # BW rewrite match successes           : 6
% 0.20/0.54  # Condensation attempts                : 222
% 0.20/0.54  # Condensation successes               : 0
% 0.20/0.54  # Termbank termtop insertions          : 36491
% 0.20/0.54  # Search garbage collected termcells   : 5163
% 0.20/0.54  
% 0.20/0.54  # -------------------------------------------------
% 0.20/0.54  # User time                : 0.038 s
% 0.20/0.54  # System time              : 0.008 s
% 0.20/0.54  # Total time               : 0.046 s
% 0.20/0.54  # Maximum resident set size: 3792 pages
% 0.20/0.54  
% 0.20/0.54  # -------------------------------------------------
% 0.20/0.54  # User time                : 0.081 s
% 0.20/0.54  # System time              : 0.016 s
% 0.20/0.54  # Total time               : 0.097 s
% 0.20/0.54  # Maximum resident set size: 2844 pages
% 0.20/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------