TSTP Solution File: SWW473_3 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW473_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 May  3 03:25:12 EDT 2024

% Result   : Theorem 46.52s 7.18s
% Output   : CNFRefutation 46.52s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
tff(f379,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/sandbox2/benchmark/theBenchmark.p',fact_378_mem__def) ).

tff(f380,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/sandbox2/benchmark/theBenchmark.p',fact_379_mem__def) ).

tff(f437,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/sandbox2/benchmark/theBenchmark.p',fact_436_rev__image__eqI) ).

tff(f454,axiom,
    ! [X8: x_a,X2: fun_a_bool,X7: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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/sandbox2/benchmark/theBenchmark.p',fact_453_insert__subset) ).

tff(f1304,axiom,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(f1307,axiom,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).

tff(f1309,conjecture,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).

tff(f1310,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    inference(negated_conjecture,[],[f1309]) ).

tff(f1688,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,[],[f379]) ).

tff(f1689,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,[],[f380]) ).

tff(f1746,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,[],[f437]) ).

tff(f1763,plain,
    ! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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,[],[f454]) ).

tff(f2575,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    inference(flattening,[],[f1310]) ).

tff(f3159,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,[],[f1746]) ).

tff(f3160,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,[],[f3159]) ).

tff(f3872,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,[],[f1688]) ).

tff(f3873,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,[],[f1689]) ).

tff(f3914,plain,
    ! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),X1)),X2)) ) ),
    inference(nnf_transformation,[],[f1763]) ).

tff(f3915,plain,
    ! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),X1)),X2)) ) ),
    inference(flattening,[],[f3914]) ).

tff(f4994,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,[],[f3872]) ).

tff(f4995,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,[],[f3872]) ).

tff(f4996,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,[],[f3873]) ).

tff(f4997,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,[],[f3873]) ).

tff(f5081,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,[],[f3160]) ).

tff(f5103,plain,
    ! [X2: fun_a_bool,X0: x_a,X1: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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,[],[f3915]) ).

tff(f6427,plain,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f1304]) ).

tff(f6430,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    inference(cnf_transformation,[],[f1307]) ).

tff(f6432,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f2575]) ).

tff(f6652,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,[],[f5081]) ).

cnf(c_571,plain,
    ( ~ hBOOL(hAPP_a_bool(X0_22,X0_13))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_22)) ),
    inference(cnf_transformation,[],[f4995]) ).

cnf(c_572,plain,
    ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_22))
    | hBOOL(hAPP_a_bool(X0_22,X0_13)) ),
    inference(cnf_transformation,[],[f4994]) ).

cnf(c_573,plain,
    ( ~ hBOOL(hAPP_pname_bool(X0_35,X0_15))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0_15),X0_35)) ),
    inference(cnf_transformation,[],[f4997]) ).

cnf(c_574,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0_15),X0_35))
    | hBOOL(hAPP_pname_bool(X0_35,X0_15)) ),
    inference(cnf_transformation,[],[f4996]) ).

cnf(c_658,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0_15),X0_35))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0_33,X0_15)),image_pname_a(X0_33,X0_35))) ),
    inference(cnf_transformation,[],[f6652]) ).

cnf(c_678,plain,
    ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_22))
    | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1_22),X0_22))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0_13),X1_22)),X0_22)) ),
    inference(cnf_transformation,[],[f5103]) ).

cnf(c_1966,plain,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f6427]) ).

cnf(c_1969,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    inference(cnf_transformation,[],[f6430]) ).

cnf(c_1971,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f6432]) ).

cnf(c_3002,plain,
    ( ~ hBOOL(hAPP_a_bool(X0_22,X0_13))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_22)) ),
    inference(prop_impl_just,[status(thm)],[c_571]) ).

cnf(c_3668,plain,
    ( ~ hBOOL(hAPP_pname_bool(X0_35,X0_15))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0_33,X0_15)),image_pname_a(X0_33,X0_35))) ),
    inference(prop_impl_just,[status(thm)],[c_573,c_658]) ).

cnf(c_6863,plain,
    ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_22),X1_22))
    | ~ hBOOL(hAPP_a_bool(X1_22,X0_13))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0_13),X0_22)),X1_22)) ),
    inference(bin_hyper_res,[status(thm)],[c_678,c_3002]) ).

cnf(c_39220,plain,
    ( ~ hBOOL(hAPP_pname_bool(X0_35,X0_15))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0_33,X0_15)),image_pname_a(X0_33,X0_35))) ),
    inference(prop_impl_just,[status(thm)],[c_3668]) ).

cnf(c_55607,plain,
    hAPP_pname_a(mgt_call,pn) = sP0_iProver_def,
    definition ).

cnf(c_55608,plain,
    hAPP_a1206381875a_bool(insert_a,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_55609,plain,
    hAPP_f2050579477a_bool(sP1_iProver_def,g) = sP2_iProver_def,
    definition ).

cnf(c_55610,plain,
    hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_55611,plain,
    image_pname_a(mgt_call,u) = sP4_iProver_def,
    definition ).

cnf(c_55612,plain,
    hAPP_fun_a_bool_bool(sP3_iProver_def,sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_55613,negated_conjecture,
    ~ hBOOL(sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_1971,c_55611,c_55607,c_55608,c_55609,c_55610,c_55612]) ).

cnf(c_68724,plain,
    ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_22),X1_22))
    | ~ hBOOL(hAPP_a_bool(X1_22,sP0_iProver_def))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(sP1_iProver_def,X0_22)),X1_22)) ),
    inference(superposition,[status(thm)],[c_55608,c_6863]) ).

cnf(c_69028,plain,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),sP4_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_1966,c_55611]) ).

cnf(c_70751,plain,
    ( ~ hBOOL(hAPP_pname_bool(X0_35,pn))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sP0_iProver_def),image_pname_a(mgt_call,X0_35))) ),
    inference(superposition,[status(thm)],[c_55607,c_39220]) ).

cnf(c_71765,plain,
    ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),X0_22))
    | ~ hBOOL(hAPP_a_bool(X0_22,sP0_iProver_def))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP2_iProver_def),X0_22)) ),
    inference(superposition,[status(thm)],[c_55609,c_68724]) ).

cnf(c_71769,plain,
    ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),X0_22))
    | ~ hBOOL(hAPP_a_bool(X0_22,sP0_iProver_def))
    | hBOOL(hAPP_fun_a_bool_bool(sP3_iProver_def,X0_22)) ),
    inference(light_normalisation,[status(thm)],[c_71765,c_55610]) ).

cnf(c_75339,plain,
    hBOOL(hAPP_pname_bool(u,pn)),
    inference(superposition,[status(thm)],[c_1969,c_574]) ).

cnf(c_75995,plain,
    ( ~ hBOOL(hAPP_pname_bool(u,pn))
    | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sP0_iProver_def),sP4_iProver_def)) ),
    inference(superposition,[status(thm)],[c_55611,c_70751]) ).

cnf(c_76000,plain,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sP0_iProver_def),sP4_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_75995,c_75339]) ).

cnf(c_76054,plain,
    hBOOL(hAPP_a_bool(sP4_iProver_def,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_76000,c_572]) ).

cnf(c_80526,plain,
    ( ~ hBOOL(hAPP_a_bool(sP4_iProver_def,sP0_iProver_def))
    | hBOOL(hAPP_fun_a_bool_bool(sP3_iProver_def,sP4_iProver_def)) ),
    inference(superposition,[status(thm)],[c_69028,c_71769]) ).

cnf(c_80565,plain,
    ( ~ hBOOL(hAPP_a_bool(sP4_iProver_def,sP0_iProver_def))
    | hBOOL(sP5_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_80526,c_55612]) ).

cnf(c_80566,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_80565,c_55613,c_76054]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWW473_3 : TPTP v8.1.2. Released v5.3.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n003.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 22:22:05 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 46.52/7.18  % SZS status Started for theBenchmark.p
% 46.52/7.18  % SZS status Theorem for theBenchmark.p
% 46.52/7.18  
% 46.52/7.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 46.52/7.18  
% 46.52/7.18  ------  iProver source info
% 46.52/7.18  
% 46.52/7.18  git: date: 2024-05-02 19:28:25 +0000
% 46.52/7.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 46.52/7.18  git: non_committed_changes: false
% 46.52/7.18  
% 46.52/7.18  ------ Parsing...
% 46.52/7.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 46.52/7.18  
% 46.52/7.18  
% 46.52/7.18  ------ Preprocessing... sup_sim: 339  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 1  pe_s  pe_e  sup_sim: 0  pe_s  pe_e 
% 46.52/7.18  
% 46.52/7.18  ------ Preprocessing...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 46.52/7.18   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
% 46.52/7.18  
% 46.52/7.18  
% 46.52/7.18  ------ Preprocessing...
% 46.52/7.18  ------ Proving...
% 46.52/7.18  ------ Problem Properties 
% 46.52/7.18  
% 46.52/7.18  
% 46.52/7.18  clauses                                 1404
% 46.52/7.18  conjectures                             1
% 46.52/7.18  EPR                                     5
% 46.52/7.18  Horn                                    1068
% 46.52/7.18  unary                                   291
% 46.52/7.18  binary                                  501
% 46.52/7.18  lits                                    3415
% 46.52/7.18  lits eq                                 731
% 46.52/7.18  fd_pure                                 1
% 46.52/7.18  fd_pseudo                               0
% 46.52/7.18  fd_cond                                 86
% 46.52/7.18  fd_pseudo_cond                          78
% 46.52/7.18  AC symbols                              0
% 46.52/7.18  
% 46.52/7.18  ------ Schedule dynamic 5 is on 
% 46.52/7.18  
% 46.52/7.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 46.52/7.18  
% 46.52/7.18  
% 46.52/7.18  ------ 
% 46.52/7.18  Current options:
% 46.52/7.18  ------ 
% 46.52/7.18  
% 46.52/7.18  
% 46.52/7.18  
% 46.52/7.18  
% 46.52/7.18  ------ Proving...
% 46.52/7.18  
% 46.52/7.18  
% 46.52/7.18  % SZS status Theorem for theBenchmark.p
% 46.52/7.18  
% 46.52/7.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.52/7.18  
% 46.52/7.19  
%------------------------------------------------------------------------------