TSTP Solution File: SWW473_1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWW473_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Fri Sep  1 00:39:21 EDT 2023

% Result   : Theorem 4.01s 1.18s
% Output   : CNFRefutation 4.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   53 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  418 (   8 equ)
%            Maximal formula atoms :    6 (   7 avg)
%            Number of connectives :  107 (  48   ~;  41   |;   8   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  306 ( 306 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   34 (  32 usr;  15 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   95 (   0 sgn;  67   !;   0   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f195,axiom,
    ! [X5: x_a,X7: fun_a_bool] : ( insert_a(X5,X7) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X5)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X7))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_insert__compr) ).

tff(f254,axiom,
    ! [X8: x_a,X2: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X2))
    <=> hBOOL(hAPP_a_bool(X2,X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_mem__def) ).

tff(f255,axiom,
    ! [X8: pname,X2: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X2))
    <=> hBOOL(hAPP_pname_bool(X2,X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_mem__def) ).

tff(f263,axiom,
    ! [X28: x_a,X6: fun_pname_a,X8: pname,X2: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X2))
     => ( ( hAPP_pname_a(X6,X8) = X28 )
       => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X28),image_pname_a(X6,X2))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_rev__image__eqI) ).

tff(f275,axiom,
    ! [X8: x_a,X2: fun_a_bool,X7: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X8,X2)),X7))
    <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X7))
        & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_insert__subset) ).

tff(f363,axiom,
    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(f366,axiom,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

tff(f368,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(f369,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(negated_conjecture,[],[f368]) ).

tff(f563,plain,
    ! [X0: x_a,X1: fun_a_bool] : ( insert_a(X0,X1) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))) ),
    inference(rectify,[],[f195]) ).

tff(f622,plain,
    ! [X0: x_a,X1: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X1))
    <=> hBOOL(hAPP_a_bool(X1,X0)) ),
    inference(rectify,[],[f254]) ).

tff(f623,plain,
    ! [X0: pname,X1: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
    <=> hBOOL(hAPP_pname_bool(X1,X0)) ),
    inference(rectify,[],[f255]) ).

tff(f631,plain,
    ! [X0: x_a,X1: fun_pname_a,X2: pname,X3: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
     => ( ( hAPP_pname_a(X1,X2) = X0 )
       => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3))) ) ),
    inference(rectify,[],[f263]) ).

tff(f643,plain,
    ! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
    <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
        & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ) ),
    inference(rectify,[],[f275]) ).

tff(f730,plain,
    ~ 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(flattening,[],[f369]) ).

tff(f992,plain,
    ! [X0: x_a,X1: fun_pname_a,X2: pname,X3: fun_pname_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3)))
      | ( hAPP_pname_a(X1,X2) != X0 )
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(ennf_transformation,[],[f631]) ).

tff(f993,plain,
    ! [X0: x_a,X1: fun_pname_a,X2: pname,X3: fun_pname_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3)))
      | ( hAPP_pname_a(X1,X2) != X0 )
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(flattening,[],[f992]) ).

tff(f1073,plain,
    ! [X0: x_a,X1: fun_a_bool] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X1))
        | ~ hBOOL(hAPP_a_bool(X1,X0)) )
      & ( hBOOL(hAPP_a_bool(X1,X0))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X1)) ) ),
    inference(nnf_transformation,[],[f622]) ).

tff(f1074,plain,
    ! [X0: pname,X1: fun_pname_bool] :
      ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
        | ~ hBOOL(hAPP_pname_bool(X1,X0)) )
      & ( hBOOL(hAPP_pname_bool(X1,X0))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1)) ) ),
    inference(nnf_transformation,[],[f623]) ).

tff(f1083,plain,
    ! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
      & ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
          & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) ) ),
    inference(nnf_transformation,[],[f643]) ).

tff(f1084,plain,
    ! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
      & ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
          & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) ) ),
    inference(flattening,[],[f1083]) ).

tff(f1348,plain,
    ! [X0: x_a,X1: fun_a_bool] : ( insert_a(X0,X1) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))) ),
    inference(cnf_transformation,[],[f563]) ).

tff(f1432,plain,
    ! [X0: x_a,X1: fun_a_bool] :
      ( hBOOL(hAPP_a_bool(X1,X0))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X1)) ),
    inference(cnf_transformation,[],[f1073]) ).

tff(f1433,plain,
    ! [X0: x_a,X1: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X1))
      | ~ hBOOL(hAPP_a_bool(X1,X0)) ),
    inference(cnf_transformation,[],[f1073]) ).

tff(f1434,plain,
    ! [X0: pname,X1: fun_pname_bool] :
      ( hBOOL(hAPP_pname_bool(X1,X0))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1)) ),
    inference(cnf_transformation,[],[f1074]) ).

tff(f1435,plain,
    ! [X0: pname,X1: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
      | ~ hBOOL(hAPP_pname_bool(X1,X0)) ),
    inference(cnf_transformation,[],[f1074]) ).

tff(f1445,plain,
    ! [X2: pname,X3: fun_pname_bool,X0: x_a,X1: fun_pname_a] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3)))
      | ( hAPP_pname_a(X1,X2) != X0 )
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(cnf_transformation,[],[f993]) ).

tff(f1463,plain,
    ! [X2: fun_a_bool,X0: x_a,X1: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ),
    inference(cnf_transformation,[],[f1084]) ).

tff(f1564,plain,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f363]) ).

tff(f1567,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    inference(cnf_transformation,[],[f366]) ).

tff(f1569,plain,
    ~ 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(cnf_transformation,[],[f730]) ).

tff(f1681,plain,
    ! [X2: fun_a_bool,X0: x_a,X1: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),X2))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ),
    inference(definition_unfolding,[],[f1463,f1348]) ).

tff(f1698,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))),
    inference(definition_unfolding,[],[f1569,f1348]) ).

tff(f1735,plain,
    ! [X2: pname,X3: fun_pname_bool,X1: fun_pname_a] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,X2)),image_pname_a(X1,X3)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(equality_resolution,[],[f1445]) ).

cnf(c_363,plain,
    ( ~ hBOOL(hAPP_a_bool(X0_19,X0_13))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19)) ),
    inference(cnf_transformation,[],[f1433]) ).

cnf(c_364,plain,
    ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19))
    | hBOOL(hAPP_a_bool(X0_19,X0_13)) ),
    inference(cnf_transformation,[],[f1432]) ).

cnf(c_365,plain,
    ( ~ hBOOL(hAPP_pname_bool(X0_27,X0_14))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0_14),X0_27)) ),
    inference(cnf_transformation,[],[f1435]) ).

cnf(c_366,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0_14),X0_27))
    | hBOOL(hAPP_pname_bool(X0_27,X0_14)) ),
    inference(cnf_transformation,[],[f1434]) ).

cnf(c_376,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0_14),X0_27))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0_25,X0_14)),image_pname_a(X0_25,X0_27))) ),
    inference(cnf_transformation,[],[f1735]) ).

cnf(c_386,plain,
    ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19))
    | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1_19),X0_19))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0_13)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1_19)))),X0_19)) ),
    inference(cnf_transformation,[],[f1681]) ).

cnf(c_489,plain,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f1564]) ).

cnf(c_492,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    inference(cnf_transformation,[],[f1567]) ).

cnf(c_494,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f1698]) ).

cnf(c_528,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u))
    | hBOOL(hAPP_pname_bool(u,pn)) ),
    inference(instantiation,[status(thm)],[c_366]) ).

cnf(c_823,plain,
    ( ~ hBOOL(hAPP_a_bool(X0_19,X0_13))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19)) ),
    inference(prop_impl_just,[status(thm)],[c_363]) ).

cnf(c_1153,plain,
    ( ~ hBOOL(hAPP_pname_bool(X0_27,X0_14))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0_25,X0_14)),image_pname_a(X0_25,X0_27))) ),
    inference(prop_impl_just,[status(thm)],[c_365,c_376]) ).

cnf(c_1986,plain,
    ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X1_19))
    | ~ hBOOL(hAPP_a_bool(X1_19,X0_13))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0_13)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0_19)))),X1_19)) ),
    inference(bin_hyper_res,[status(thm)],[c_386,c_823]) ).

cnf(c_5452,plain,
    ( ~ hBOOL(hAPP_pname_bool(X0_27,X0_14))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0_25,X0_14)),image_pname_a(X0_25,X0_27))) ),
    inference(prop_impl_just,[status(thm)],[c_1153]) ).

cnf(c_12617,plain,
    ( ~ hBOOL(hAPP_a_bool(image_pname_a(mgt_call,u),hAPP_pname_a(mgt_call,pn)))
    | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ),
    inference(superposition,[status(thm)],[c_1986,c_494]) ).

cnf(c_12618,plain,
    ~ hBOOL(hAPP_a_bool(image_pname_a(mgt_call,u),hAPP_pname_a(mgt_call,pn))),
    inference(forward_subsumption_resolution,[status(thm)],[c_12617,c_489]) ).

cnf(c_13675,plain,
    ( ~ hBOOL(hAPP_pname_bool(X0_27,X0_14))
    | hBOOL(hAPP_a_bool(image_pname_a(X0_25,X0_27),hAPP_pname_a(X0_25,X0_14))) ),
    inference(superposition,[status(thm)],[c_5452,c_364]) ).

cnf(c_13678,plain,
    ( ~ hBOOL(hAPP_pname_bool(u,pn))
    | hBOOL(hAPP_a_bool(image_pname_a(mgt_call,u),hAPP_pname_a(mgt_call,pn))) ),
    inference(instantiation,[status(thm)],[c_13675]) ).

cnf(c_13679,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_13678,c_12618,c_528,c_492]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW473_1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n018.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 20:32:31 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.01/1.18  % SZS status Started for theBenchmark.p
% 4.01/1.18  % SZS status Theorem for theBenchmark.p
% 4.01/1.18  
% 4.01/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.01/1.18  
% 4.01/1.18  ------  iProver source info
% 4.01/1.18  
% 4.01/1.18  git: date: 2023-05-31 18:12:56 +0000
% 4.01/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.01/1.18  git: non_committed_changes: false
% 4.01/1.18  git: last_make_outside_of_git: false
% 4.01/1.18  
% 4.01/1.18  ------ Parsing...
% 4.01/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  ------ Preprocessing... sup_sim: 135  pe_s  pe_e  sup_sim: 0  pe_s  pe_e 
% 4.01/1.18  
% 4.01/1.18  ------ Preprocessing...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 4.01/1.18   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e ------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  ------ Preprocessing...
% 4.01/1.18  ------ Proving...
% 4.01/1.18  ------ Problem Properties 
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  clauses                                 360
% 4.01/1.18  conjectures                             1
% 4.01/1.18  EPR                                     0
% 4.01/1.18  Horn                                    328
% 4.01/1.18  unary                                   90
% 4.01/1.18  binary                                  188
% 4.01/1.18  lits                                    723
% 4.01/1.18  lits eq                                 119
% 4.01/1.18  fd_pure                                 0
% 4.01/1.18  fd_pseudo                               0
% 4.01/1.18  fd_cond                                 0
% 4.01/1.18  fd_pseudo_cond                          28
% 4.01/1.18  AC symbols                              0
% 4.01/1.18  
% 4.01/1.18  ------ Schedule dynamic 5 is on 
% 4.01/1.18  
% 4.01/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  ------ 
% 4.01/1.18  Current options:
% 4.01/1.18  ------ 
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  ------ Proving...
% 4.01/1.18  
% 4.01/1.18  
% 4.01/1.18  % SZS status Theorem for theBenchmark.p
% 4.01/1.18  
% 4.01/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.01/1.18  
% 4.01/1.19  
%------------------------------------------------------------------------------