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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP216_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hfg8BtOHeW true

% Computer : n002.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 : Thu Oct  2 04:39:15 PM UTC 2025

% Result   : Theorem 8.17s 1.82s
% Output   : Refutation 8.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (   6 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   56 (   7   ~;   2   |;   0   &;  46   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(option3216581401566546698it_nat_type,type,
    option3216581401566546698it_nat: $tType ).

thf(fun_he1504492240061592256it_nat_type,type,
    fun_he1504492240061592256it_nat: $tType ).

thf(heap_T6362127782908069795rray_a_type,type,
    heap_T6362127782908069795rray_a: $tType ).

thf(list_a_type,type,
    list_a: $tType ).

thf(heap_e7401611519738050253t_unit_type,type,
    heap_e7401611519738050253t_unit: $tType ).

thf(bool_type,type,
    bool: $tType ).

thf(fun_he6201055237484778573t_bool_type,type,
    fun_he6201055237484778573t_bool: $tType ).

thf(pp_type,type,
    pp: bool > $o ).

thf(aa_hea5936688510613671481it_nat_type,type,
    aa_hea5936688510613671481it_nat: fun_he1504492240061592256it_nat > heap_e7401611519738050253t_unit > option3216581401566546698it_nat ).

thf(heap_T6932021131025641745rray_a_type,type,
    heap_T6932021131025641745rray_a: heap_T6362127782908069795rray_a > fun_he6201055237484778573t_bool ).

thf(aa_hea1793595068369496646t_bool_type,type,
    aa_hea1793595068369496646t_bool: fun_he6201055237484778573t_bool > heap_e7401611519738050253t_unit > bool ).

thf(none_P2587165478634041381it_nat_type,type,
    none_P2587165478634041381it_nat: option3216581401566546698it_nat ).

thf(heap_T5591663578999710211rray_a_type,type,
    heap_T5591663578999710211rray_a: heap_T6362127782908069795rray_a > fun_he1504492240061592256it_nat ).

thf(array_of_list_a_type,type,
    array_of_list_a: list_a > heap_T6362127782908069795rray_a ).

thf(h_type,type,
    h: heap_e7401611519738050253t_unit ).

thf(xs_type,type,
    xs: list_a ).

thf(conj_0,conjecture,
    ( ( aa_hea5936688510613671481it_nat @ ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) ) @ h )
   != none_P2587165478634041381it_nat ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( aa_hea5936688510613671481it_nat @ ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) ) @ h )
    = none_P2587165478634041381it_nat ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl39,plain,
    ( ( aa_hea5936688510613671481it_nat @ ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) ) @ h )
    = none_P2587165478634041381it_nat ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_12_success__def,axiom,
    ! [F: heap_T6362127782908069795rray_a,H: heap_e7401611519738050253t_unit] :
      ( ( pp @ ( aa_hea1793595068369496646t_bool @ ( heap_T6932021131025641745rray_a @ F ) @ H ) )
    <=> ( ( aa_hea5936688510613671481it_nat @ ( heap_T5591663578999710211rray_a @ F ) @ H )
       != none_P2587165478634041381it_nat ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: heap_T6362127782908069795rray_a,X1: heap_e7401611519738050253t_unit] :
      ( ( ( aa_hea5936688510613671481it_nat @ ( heap_T5591663578999710211rray_a @ X0 ) @ X1 )
       != none_P2587165478634041381it_nat )
      | ~ ( pp @ ( aa_hea1793595068369496646t_bool @ ( heap_T6932021131025641745rray_a @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_12_success__def]) ).

thf(zip_derived_cl58,plain,
    ( ( none_P2587165478634041381it_nat != none_P2587165478634041381it_nat )
    | ~ ( pp @ ( aa_hea1793595068369496646t_bool @ ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ xs ) ) @ h ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl2]) ).

thf(zip_derived_cl59,plain,
    ~ ( pp @ ( aa_hea1793595068369496646t_bool @ ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ xs ) ) @ h ) ),
    inference(simplify,[status(thm)],[zip_derived_cl58]) ).

thf(fact_45_success__of__listI,axiom,
    ! [Xs: list_a,H: heap_e7401611519738050253t_unit] : ( pp @ ( aa_hea1793595068369496646t_bool @ ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ Xs ) ) @ H ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: list_a,X1: heap_e7401611519738050253t_unit] : ( pp @ ( aa_hea1793595068369496646t_bool @ ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ X0 ) ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_45_success__of__listI]) ).

thf(zip_derived_cl229,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ITP216_1 : TPTP v9.2.0. Released v8.0.0.
% 0.09/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hfg8BtOHeW true
% 0.09/0.30  % Computer : n002.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Wed Oct  1 15:27:38 EDT 2025
% 0.09/0.31  % CPUTime  : 
% 0.09/0.31  % Running portfolio for 300 s
% 0.09/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31  % Number of cores: 8
% 0.15/0.31  % Python version: Python 3.6.8
% 0.15/0.31  % Running in FO mode
% 0.16/0.58  % Total configuration time : 435
% 0.16/0.58  % Estimated wc time : 1092
% 0.16/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.96/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.96/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.96/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.96/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.96/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.17/1.82  % Solved by fo/fo7.sh.
% 8.17/1.82  % done 45 iterations in 1.120s
% 8.17/1.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.17/1.82  % SZS output start Refutation
% See solution above
% 8.17/1.82  
% 8.17/1.82  
% 8.17/1.82  % Terminating...
% 8.49/1.97  % Runner terminated.
% 8.49/2.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------