TSTP Solution File: ITP082^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP082^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.loFRmL5apc 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 05:22:04 EDT 2023

% Result   : Theorem 1.55s 0.89s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   42 (   7 unt;  25 typ;   0 def)
%            Number of atoms       :   33 (   6 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  159 (   4   ~;   2   |;   0   &; 152   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   9 con; 0-7 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

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

thf(pred_phi_r_type,type,
    pred_phi_r: node ).

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(rs_rest_type,type,
    rs_rest: list_node ).

thf(i_type,type,
    i: node ).

thf(rs_type,type,
    rs: list_node ).

thf(cons_node_type,type,
    cons_node: node > list_node > list_node ).

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(tmp_type,type,
    tmp: list_node ).

thf(r_type,type,
    r: val ).

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

thf(g2_type,type,
    g2: g ).

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(conj_0,conjecture,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ ( cons_node @ i @ rs_rest ) @ pred_phi_r ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ ( cons_node @ i @ rs_rest ) @ pred_phi_r ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl22,plain,
    ~ ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ ( cons_node @ i @ rs_rest ) @ pred_phi_r ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_5_rs_H__props_I1_J,axiom,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ r ) @ rs @ pred_phi_r ).

thf(zip_derived_cl3,plain,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ r ) @ rs @ pred_phi_r,
    inference(cnf,[status(esa)],[fact_5_rs_H__props_I1_J]) ).

thf(fact_7_rs_H__rest__prop,axiom,
    ( rs
    = ( append_node @ ri @ rs_rest ) ) ).

thf(zip_derived_cl4,plain,
    ( rs
    = ( append_node @ ri @ rs_rest ) ),
    inference(cnf,[status(esa)],[fact_7_rs_H__rest__prop]) ).

thf(zip_derived_cl101,plain,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ ( sSA_CF551432799de_val @ alpha_n @ defs @ phis @ g2 @ r ) @ ( append_node @ ri @ rs_rest ) @ pred_phi_r,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).

thf(fact_1_rs_H__rest__def,axiom,
    ( rs
    = ( append_node @ tmp @ ( cons_node @ i @ rs_rest ) ) ) ).

thf(zip_derived_cl0,plain,
    ( rs
    = ( append_node @ tmp @ ( cons_node @ i @ rs_rest ) ) ),
    inference(cnf,[status(esa)],[fact_1_rs_H__rest__def]) ).

thf(zip_derived_cl4_001,plain,
    ( rs
    = ( append_node @ ri @ rs_rest ) ),
    inference(cnf,[status(esa)],[fact_7_rs_H__rest__prop]) ).

thf(zip_derived_cl23,plain,
    ( ( append_node @ ri @ rs_rest )
    = ( append_node @ tmp @ ( cons_node @ i @ rs_rest ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(fact_3_old_Opath2__split_I2_J,axiom,
    ! [G: g,N: node,Ns: list_node,N2: node,Ns2: list_node,M: node] :
      ( ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ G @ N @ ( append_node @ Ns @ ( cons_node @ N2 @ Ns2 ) ) @ M )
     => ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ G @ N2 @ ( cons_node @ N2 @ Ns2 ) @ M ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: g,X1: node,X2: list_node,X3: node,X4: node,X5: list_node] :
      ( ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ X0 @ X1 @ ( cons_node @ X1 @ X2 ) @ X3 )
      | ~ ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ X0 @ X4 @ ( append_node @ X5 @ ( cons_node @ X1 @ X2 ) ) @ X3 ) ),
    inference(cnf,[status(esa)],[fact_3_old_Opath2__split_I2_J]) ).

thf(zip_derived_cl95,plain,
    ! [X0: node,X1: node,X2: g] :
      ( ~ ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ X2 @ X1 @ ( append_node @ ri @ rs_rest ) @ X0 )
      | ( graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ X2 @ i @ ( cons_node @ i @ rs_rest ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl2]) ).

thf(zip_derived_cl236,plain,
    graph_1012773594_edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ ( cons_node @ i @ rs_rest ) @ pred_phi_r,
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl95]) ).

thf(zip_derived_cl238,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl236]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP082^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.loFRmL5apc true
% 0.18/0.36  % Computer : n015.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Sun Aug 27 10:37:39 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 0.18/0.36  % Running portfolio for 300 s
% 0.18/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  % Number of cores: 8
% 0.22/0.37  % Python version: Python 3.6.8
% 0.22/0.37  % Running in HO mode
% 0.22/0.69  % Total configuration time : 828
% 0.22/0.69  % Estimated wc time : 1656
% 0.22/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.41/0.81  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.41/0.81  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.41/0.82  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.55/0.89  % Solved by lams/40_c_ic.sh.
% 1.55/0.89  % done 51 iterations in 0.096s
% 1.55/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.55/0.89  % SZS output start Refutation
% See solution above
% 1.55/0.89  
% 1.55/0.89  
% 1.55/0.89  % Terminating...
% 1.88/0.98  % Runner terminated.
% 2.05/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------