TSTP Solution File: ITP081^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP081^1 : 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.Vh4E7gKr7h true

% Computer : n005.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 05:22:04 EDT 2023

% Result   : Theorem 33.88s 5.13s
% Output   : Refutation 33.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   42 (   3 unt;  26 typ;   0 def)
%            Number of atoms       :   49 (   4 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  229 (   2   ~;   0   |;   0   &; 211   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   9 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  18 usr;  10 con; 0-7 aty)
%                                         (  10  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   20 (  10   ^;  10   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(g_type,type,
    g: $tType ).

thf(node_type,type,
    node: $tType ).

thf(list_node_type,type,
    list_node: $tType ).

thf(val_type,type,
    val: $tType ).

thf(hd_node_type,type,
    hd_node: list_node > node ).

thf(inEdges_type,type,
    inEdges: g > node > list_P561207620_edgeD ).

thf(invar_type,type,
    invar: g > $o ).

thf(phis_type,type,
    phis: g > produc1432036078de_val > option_list_val ).

thf(list_P561207620_edgeD_type,type,
    list_P561207620_edgeD: $tType ).

thf(set_val_type,type,
    set_val: $tType ).

thf(append_node_type,type,
    append_node: list_node > list_node > list_node ).

thf(produc1432036078de_val_type,type,
    produc1432036078de_val: $tType ).

thf(ri_type,type,
    ri: list_node ).

thf(defs_type,type,
    defs: g > node > set_val ).

thf(ns_type,type,
    ns: list_node ).

thf(rs2_type,type,
    rs2: list_node ).

thf(i_type,type,
    i: node ).

thf(phi_r_type,type,
    phi_r: val ).

thf(sSA_CF551432799de_val_type,type,
    sSA_CF551432799de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > node ).

thf(alpha_n_type,type,
    alpha_n: g > list_node ).

thf(r_type,type,
    r: val ).

thf(option_list_val_type,type,
    option_list_val: $tType ).

thf(n_type,type,
    n: node ).

thf(g2_type,type,
    g2: g ).

thf(tl_node_type,type,
    tl_node: list_node > list_node ).

thf(graph_1012773594_edgeD_type,type,
    graph_1012773594_edgeD: ( g > list_node ) > ( g > $o ) > ( g > node > list_P561207620_edgeD ) > g > node > list_node > node > $o ).

thf(fact_3_assms_I7_J,axiom,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ n @ ns @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ r ) ).

thf(zip_derived_cl3,plain,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ n @ ns @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ r ),
    inference(cnf,[status(esa)],[fact_3_assms_I7_J]) ).

thf(fact_5_old_Opath2__app,axiom,
    ! [G: g,N: node,Ns: list_node,M: node,Ms: list_node,L: node] :
      ( ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ G @ N @ Ns @ M )
     => ( ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ G @ M @ Ms @ L )
       => ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ G @ N @ ( append_node @ Ns @ ( tl_node @ Ms ) ) @ L ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: g] :
        ( !!
        @ ^ [Y1: node] :
            ( !!
            @ ^ [Y2: list_node] :
                ( !!
                @ ^ [Y3: node] :
                    ( !!
                    @ ^ [Y4: list_node] :
                        ( !!
                        @ ^ [Y5: node] :
                            ( ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ Y0 @ Y1 @ Y2 @ Y3 )
                           => ( ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ Y0 @ Y3 @ Y4 @ Y5 )
                             => ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ Y0 @ Y1 @ ( append_node @ Y2 @ ( tl_node @ Y4 ) ) @ Y5 ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_5_old_Opath2__app]) ).

thf(conj_0,conjecture,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ n @ ( append_node @ ns @ ( tl_node @ ri ) ) @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ phi_r ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ n @ ( append_node @ ns @ ( tl_node @ ri ) ) @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ phi_r ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl350,plain,
    ~ ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ n @ ( append_node @ ns @ ( tl_node @ ri ) ) @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ phi_r ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_4_ri__props_I1_J,axiom,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ r ) @ ri @ i ).

thf(zip_derived_cl4,plain,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ r ) @ ri @ i,
    inference(cnf,[status(esa)],[fact_4_ri__props_I1_J]) ).

thf(fact_1_ri__is__valid,axiom,
    ( i
    = ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ phi_r ) ) ).

thf(zip_derived_cl1,plain,
    ( i
    = ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ phi_r ) ),
    inference(cnf,[status(esa)],[fact_1_ri__is__valid]) ).

thf(fact_9_rs__props_I1_J,axiom,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ r ) @ rs2 @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ phi_r ) ).

thf(zip_derived_cl9,plain,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ r ) @ rs2 @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ phi_r ),
    inference(cnf,[status(esa)],[fact_9_rs__props_I1_J]) ).

thf(fact_264_old_Opath2__hd,axiom,
    ! [G: g,N: node,Ns: list_node,M: node] :
      ( ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ G @ N @ Ns @ M )
     => ( N
        = ( hd_node @ Ns ) ) ) ).

thf(zip_derived_cl264,plain,
    ( !!
    @ ^ [Y0: g] :
        ( !!
        @ ^ [Y1: node] :
            ( !!
            @ ^ [Y2: list_node] :
                ( !!
                @ ^ [Y3: node] :
                    ( ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ Y0 @ Y1 @ Y2 @ Y3 )
                   => ( Y1
                      = ( hd_node @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_264_old_Opath2__hd]) ).

thf(zip_derived_cl1291,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl3,zip_derived_cl5,zip_derived_cl350,zip_derived_cl4,zip_derived_cl1,zip_derived_cl9,zip_derived_cl264]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : ITP081^1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Vh4E7gKr7h true
% 0.16/0.35  % Computer : n005.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Sun Aug 27 17:00:23 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.36  % Number of cores: 8
% 0.16/0.36  % Python version: Python 3.6.8
% 0.16/0.36  % Running in HO mode
% 0.22/0.62  % Total configuration time : 828
% 0.22/0.62  % Estimated wc time : 1656
% 0.22/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 33.88/5.13  % Solved by lams/15_e_short1.sh.
% 33.88/5.13  % done 131 iterations in 4.366s
% 33.88/5.13  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.88/5.13  % SZS output start Refutation
% See solution above
% 33.88/5.13  
% 33.88/5.13  
% 33.88/5.13  % Terminating...
% 33.88/5.25  % Runner terminated.
% 33.88/5.27  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------