TSTP Solution File: ITP145^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP145^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nIP3OCtjJc true

% Computer : n015.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 Aug 31 05:22:28 EDT 2023

% Result   : Theorem 119.38s 16.00s
% Output   : Refutation 119.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   52 (  16 unt;  21 typ;   0 def)
%            Number of atoms       :   67 (   7 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  322 (   7   ~;   4   |;   0   &; 279   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   8 con; 0-2 aty)
%                                         (  15  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   49 (  15   ^;  34   !;   0   ?;  49   :)

% Comments : 
%------------------------------------------------------------------------------
thf(produc410756839_state_type,type,
    produc410756839_state: $tType ).

thf(produc2041926651_state_type,type,
    produc2041926651_state: $tType ).

thf(list_com_type,type,
    list_com: $tType ).

thf(com_type,type,
    com: $tType ).

thf(state_type,type,
    state: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(set_Pr1165141447_state_type,type,
    set_Pr1165141447_state: $tType ).

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(c_type,type,
    c: com ).

thf(produc1909270103_state_type,type,
    produc1909270103_state: produc2041926651_state > produc2041926651_state > produc410756839_state ).

thf(nil_com_type,type,
    nil_com: list_com ).

thf(member1069318160_state_type,type,
    member1069318160_state: produc410756839_state > set_Pr1165141447_state > $o ).

thf(n_type,type,
    n: nat ).

thf(pHoare259243666_exec1_type,type,
    pHoare259243666_exec1: set_Pr1165141447_state ).

thf(f_type,type,
    f: nat > produc2041926651_state ).

thf(produc1204172211_state_type,type,
    produc1204172211_state: list_com > state > produc2041926651_state ).

thf(suc_type,type,
    suc: nat > nat ).

thf(s_type,type,
    s: state ).

thf(transi1302705790_state_type,type,
    transi1302705790_state: set_Pr1165141447_state > set_Pr1165141447_state ).

thf(transi1726587420_state_type,type,
    transi1726587420_state: set_Pr1165141447_state > set_Pr1165141447_state ).

thf(cons_com_type,type,
    cons_com: com > list_com > list_com ).

thf(conj_4,conjecture,
    member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
    inference('cnf.neg',[status(esa)],[conj_4]) ).

thf(zip_derived_cl257,plain,
    ~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_1,axiom,
    ( ( f @ zero_zero_nat )
    = ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) ) ).

thf(zip_derived_cl254,plain,
    ( ( f @ zero_zero_nat )
    = ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl262,plain,
    ~ ( member1069318160_state @ ( produc1909270103_state @ ( f @ zero_zero_nat ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl254]) ).

thf(conj_3,axiom,
    member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ n ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ).

thf(zip_derived_cl256,plain,
    member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ n ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
    inference(cnf,[status(esa)],[conj_3]) ).

thf(zip_derived_cl254_001,plain,
    ( ( f @ zero_zero_nat )
    = ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl263,plain,
    member1069318160_state @ ( produc1909270103_state @ ( f @ zero_zero_nat ) @ ( f @ n ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl254]) ).

thf(conj_2,axiom,
    ! [I2: nat] : ( member1069318160_state @ ( produc1909270103_state @ ( f @ I2 ) @ ( f @ ( suc @ I2 ) ) ) @ ( transi1726587420_state @ pHoare259243666_exec1 ) ) ).

thf(zip_derived_cl255,plain,
    ( !!
    @ ^ [Y0: nat] : ( member1069318160_state @ ( produc1909270103_state @ ( f @ Y0 ) @ ( f @ ( suc @ Y0 ) ) ) @ ( transi1726587420_state @ pHoare259243666_exec1 ) ) ),
    inference(cnf,[status(esa)],[conj_2]) ).

thf(zip_derived_cl291,plain,
    ! [X2: nat] : ( member1069318160_state @ ( produc1909270103_state @ ( f @ X2 ) @ ( f @ ( suc @ X2 ) ) ) @ ( transi1726587420_state @ pHoare259243666_exec1 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl255]) ).

thf(fact_9_trancl__rtrancl__absorb,axiom,
    ! [R2: set_Pr1165141447_state] :
      ( ( transi1302705790_state @ ( transi1726587420_state @ R2 ) )
      = ( transi1302705790_state @ R2 ) ) ).

thf(zip_derived_cl9,plain,
    ( !!
    @ ^ [Y0: set_Pr1165141447_state] :
        ( ( transi1302705790_state @ ( transi1726587420_state @ Y0 ) )
        = ( transi1302705790_state @ Y0 ) ) ),
    inference(cnf,[status(esa)],[fact_9_trancl__rtrancl__absorb]) ).

thf(zip_derived_cl289,plain,
    ! [X2: set_Pr1165141447_state] :
      ( ( transi1302705790_state @ ( transi1726587420_state @ X2 ) )
      = ( transi1302705790_state @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl290,plain,
    ! [X2: set_Pr1165141447_state] :
      ( ( transi1302705790_state @ ( transi1726587420_state @ X2 ) )
      = ( transi1302705790_state @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl289]) ).

thf(fact_53_rtrancl__trans,axiom,
    ! [X: produc2041926651_state,Y: produc2041926651_state,R: set_Pr1165141447_state,Z2: produc2041926651_state] :
      ( ( member1069318160_state @ ( produc1909270103_state @ X @ Y ) @ ( transi1302705790_state @ R ) )
     => ( ( member1069318160_state @ ( produc1909270103_state @ Y @ Z2 ) @ ( transi1302705790_state @ R ) )
       => ( member1069318160_state @ ( produc1909270103_state @ X @ Z2 ) @ ( transi1302705790_state @ R ) ) ) ) ).

thf(zip_derived_cl48,plain,
    ( !!
    @ ^ [Y0: produc2041926651_state] :
        ( !!
        @ ^ [Y1: produc2041926651_state] :
            ( !!
            @ ^ [Y2: set_Pr1165141447_state] :
                ( !!
                @ ^ [Y3: produc2041926651_state] :
                    ( ( member1069318160_state @ ( produc1909270103_state @ Y0 @ Y1 ) @ ( transi1302705790_state @ Y2 ) )
                   => ( ( member1069318160_state @ ( produc1909270103_state @ Y1 @ Y3 ) @ ( transi1302705790_state @ Y2 ) )
                     => ( member1069318160_state @ ( produc1909270103_state @ Y0 @ Y3 ) @ ( transi1302705790_state @ Y2 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_53_rtrancl__trans]) ).

thf(zip_derived_cl906,plain,
    ! [X2: produc2041926651_state] :
      ( !!
      @ ^ [Y0: produc2041926651_state] :
          ( !!
          @ ^ [Y1: set_Pr1165141447_state] :
              ( !!
              @ ^ [Y2: produc2041926651_state] :
                  ( ( member1069318160_state @ ( produc1909270103_state @ X2 @ Y0 ) @ ( transi1302705790_state @ Y1 ) )
                 => ( ( member1069318160_state @ ( produc1909270103_state @ Y0 @ Y2 ) @ ( transi1302705790_state @ Y1 ) )
                   => ( member1069318160_state @ ( produc1909270103_state @ X2 @ Y2 ) @ ( transi1302705790_state @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl907,plain,
    ! [X2: produc2041926651_state,X4: produc2041926651_state] :
      ( !!
      @ ^ [Y0: set_Pr1165141447_state] :
          ( !!
          @ ^ [Y1: produc2041926651_state] :
              ( ( member1069318160_state @ ( produc1909270103_state @ X2 @ X4 ) @ ( transi1302705790_state @ Y0 ) )
             => ( ( member1069318160_state @ ( produc1909270103_state @ X4 @ Y1 ) @ ( transi1302705790_state @ Y0 ) )
               => ( member1069318160_state @ ( produc1909270103_state @ X2 @ Y1 ) @ ( transi1302705790_state @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl906]) ).

thf(zip_derived_cl908,plain,
    ! [X2: produc2041926651_state,X4: produc2041926651_state,X6: set_Pr1165141447_state] :
      ( !!
      @ ^ [Y0: produc2041926651_state] :
          ( ( member1069318160_state @ ( produc1909270103_state @ X2 @ X4 ) @ ( transi1302705790_state @ X6 ) )
         => ( ( member1069318160_state @ ( produc1909270103_state @ X4 @ Y0 ) @ ( transi1302705790_state @ X6 ) )
           => ( member1069318160_state @ ( produc1909270103_state @ X2 @ Y0 ) @ ( transi1302705790_state @ X6 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl907]) ).

thf(zip_derived_cl909,plain,
    ! [X2: produc2041926651_state,X4: produc2041926651_state,X6: set_Pr1165141447_state,X8: produc2041926651_state] :
      ( ( member1069318160_state @ ( produc1909270103_state @ X2 @ X4 ) @ ( transi1302705790_state @ X6 ) )
     => ( ( member1069318160_state @ ( produc1909270103_state @ X4 @ X8 ) @ ( transi1302705790_state @ X6 ) )
       => ( member1069318160_state @ ( produc1909270103_state @ X2 @ X8 ) @ ( transi1302705790_state @ X6 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl908]) ).

thf(zip_derived_cl910,plain,
    ! [X2: produc2041926651_state,X4: produc2041926651_state,X6: set_Pr1165141447_state,X8: produc2041926651_state] :
      ( ~ ( member1069318160_state @ ( produc1909270103_state @ X2 @ X4 ) @ ( transi1302705790_state @ X6 ) )
      | ( ( member1069318160_state @ ( produc1909270103_state @ X4 @ X8 ) @ ( transi1302705790_state @ X6 ) )
       => ( member1069318160_state @ ( produc1909270103_state @ X2 @ X8 ) @ ( transi1302705790_state @ X6 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl909]) ).

thf(zip_derived_cl911,plain,
    ! [X2: produc2041926651_state,X4: produc2041926651_state,X6: set_Pr1165141447_state,X8: produc2041926651_state] :
      ( ~ ( member1069318160_state @ ( produc1909270103_state @ X4 @ X8 ) @ ( transi1302705790_state @ X6 ) )
      | ( member1069318160_state @ ( produc1909270103_state @ X2 @ X8 ) @ ( transi1302705790_state @ X6 ) )
      | ~ ( member1069318160_state @ ( produc1909270103_state @ X2 @ X4 ) @ ( transi1302705790_state @ X6 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl910]) ).

thf(fact_33_r__into__rtrancl,axiom,
    ! [P2: produc410756839_state,R: set_Pr1165141447_state] :
      ( ( member1069318160_state @ P2 @ R )
     => ( member1069318160_state @ P2 @ ( transi1302705790_state @ R ) ) ) ).

thf(zip_derived_cl28,plain,
    ( !!
    @ ^ [Y0: produc410756839_state] :
        ( !!
        @ ^ [Y1: set_Pr1165141447_state] :
            ( ( member1069318160_state @ Y0 @ Y1 )
           => ( member1069318160_state @ Y0 @ ( transi1302705790_state @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_33_r__into__rtrancl]) ).

thf(zip_derived_cl320,plain,
    ! [X2: produc410756839_state] :
      ( !!
      @ ^ [Y0: set_Pr1165141447_state] :
          ( ( member1069318160_state @ X2 @ Y0 )
         => ( member1069318160_state @ X2 @ ( transi1302705790_state @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl321,plain,
    ! [X2: produc410756839_state,X4: set_Pr1165141447_state] :
      ( ( member1069318160_state @ X2 @ X4 )
     => ( member1069318160_state @ X2 @ ( transi1302705790_state @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl320]) ).

thf(zip_derived_cl322,plain,
    ! [X2: produc410756839_state,X4: set_Pr1165141447_state] :
      ( ~ ( member1069318160_state @ X2 @ X4 )
      | ( member1069318160_state @ X2 @ ( transi1302705790_state @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl321]) ).

thf(zip_derived_cl9827,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl262,zip_derived_cl263,zip_derived_cl291,zip_derived_cl290,zip_derived_cl911,zip_derived_cl322]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP145^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nIP3OCtjJc true
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 10:56:39 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.19/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.19/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.19/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.19/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.19/0.84  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.52/0.86  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 119.38/16.00  % Solved by lams/30_b.l.sh.
% 119.38/16.00  % done 231 iterations in 15.096s
% 119.38/16.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 119.38/16.00  % SZS output start Refutation
% See solution above
% 119.38/16.00  
% 119.38/16.00  
% 119.38/16.00  % Terminating...
% 120.60/16.12  % Runner terminated.
% 120.60/16.13  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------