TSTP Solution File: SWW473_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW473_1 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 : Mon Jun 24 18:17:21 EDT 2024
% Result : Theorem 17.55s 3.14s
% Output : CNFRefutation 17.55s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
tff(f182,axiom,
! [X29: x_a,X2: fun_a_bool,X7: fun_a_bool] :
( 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,X29),X2))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X29),X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_subsetD) ).
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(f222,axiom,
! [X28: x_a,X5: x_a,X7: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X5),X7))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X5),insert_a(X28,X7))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_insertI2) ).
tff(f231,axiom,
! [X2: fun_a_bool,X7: fun_a_bool] :
( ( X2 = X7 )
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X2))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_set__eq__subset) ).
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(f278,axiom,
! [X7: fun_a_bool,X8: x_a,X2: fun_a_bool] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X2))
=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),insert_a(X8,X7)))
<=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_subset__insert) ).
tff(f291,axiom,
! [X7: fun_a_bool,X2: fun_a_bool] :
( ! [X27: x_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X27),X2))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X27),X7)) )
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_subsetI) ).
tff(f299,axiom,
! [X8: fun_a_bool] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X8),X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_order__refl) ).
tff(f312,axiom,
! [X15: x_a,X16: x_a] :
( ( X15 = X16 )
| ~ hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X15),X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000t__a_T) ).
tff(f313,axiom,
! [X15: x_a,X16: x_a] :
( hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X15),X16))
| ( X15 != X16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000t__a_T) ).
tff(f318,axiom,
! [X41: fun_a_fun_a_bool,X42: x_a,X43: x_a] : ( hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(X41),X42),X43) = hAPP_a_bool(hAPP_a_fun_a_bool(X41,X43),X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000t__a_000t__a_000tc__HOL__Obool_U) ).
tff(f334,axiom,
! [X41: fun_a_1255737515l_bool,X42: fun_a_bool,X43: x_a] : ( hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(X41),X42),X43) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(X41,X43),X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo) ).
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(f550,plain,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( 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),X1))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ) ),
inference(rectify,[],[f182]) ).
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(f590,plain,
! [X0: x_a,X1: x_a,X2: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),insert_a(X0,X2))) ),
inference(rectify,[],[f222]) ).
tff(f599,plain,
! [X0: fun_a_bool,X1: fun_a_bool] :
( ( X0 = X1 )
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1)) ) ),
inference(rectify,[],[f231]) ).
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(f646,plain,
! [X0: fun_a_bool,X1: x_a,X2: fun_a_bool] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))
=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),insert_a(X1,X0)))
<=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0)) ) ),
inference(rectify,[],[f278]) ).
tff(f659,plain,
! [X0: fun_a_bool,X1: fun_a_bool] :
( ! [X2: x_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X0)) )
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0)) ),
inference(rectify,[],[f291]) ).
tff(f667,plain,
! [X0: fun_a_bool] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X0)),
inference(rectify,[],[f299]) ).
tff(f680,plain,
! [X0: x_a,X1: x_a] :
( ( X0 = X1 )
| ~ hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X0),X1)) ),
inference(rectify,[],[f312]) ).
tff(f681,plain,
! [X0: x_a,X1: x_a] :
( hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X0),X1))
| ( X0 != X1 ) ),
inference(rectify,[],[f313]) ).
tff(f686,plain,
! [X0: fun_a_fun_a_bool,X1: x_a,X2: x_a] : ( hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(X0),X1),X2) = hAPP_a_bool(hAPP_a_fun_a_bool(X0,X2),X1) ),
inference(rectify,[],[f318]) ).
tff(f702,plain,
! [X0: fun_a_1255737515l_bool,X1: fun_a_bool,X2: x_a] : ( hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(X0),X1),X2) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(X0,X2),X1) ),
inference(rectify,[],[f334]) ).
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(f933,plain,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X1))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(ennf_transformation,[],[f550]) ).
tff(f934,plain,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X1))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(flattening,[],[f933]) ).
tff(f954,plain,
! [X0: x_a,X1: x_a,X2: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),insert_a(X0,X2)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2)) ),
inference(ennf_transformation,[],[f590]) ).
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(f996,plain,
! [X0: fun_a_bool,X1: x_a,X2: fun_a_bool] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),insert_a(X1,X0)))
<=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0)) )
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2)) ),
inference(ennf_transformation,[],[f646]) ).
tff(f1007,plain,
! [X0: fun_a_bool,X1: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ? [X2: x_a] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X0))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1)) ) ),
inference(ennf_transformation,[],[f659]) ).
tff(f1070,plain,
! [X0: fun_a_bool,X1: fun_a_bool] :
( ( ( X0 = X1 )
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1)) )
& ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1)) )
| ( X0 != X1 ) ) ),
inference(nnf_transformation,[],[f599]) ).
tff(f1071,plain,
! [X0: fun_a_bool,X1: fun_a_bool] :
( ( ( X0 = X1 )
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1)) )
& ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1)) )
| ( X0 != X1 ) ) ),
inference(flattening,[],[f1070]) ).
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(f1087,plain,
! [X0: fun_a_bool,X1: x_a,X2: fun_a_bool] :
( ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),insert_a(X1,X0)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0)) )
& ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),insert_a(X1,X0))) ) )
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2)) ),
inference(nnf_transformation,[],[f996]) ).
tff(f1096,plain,
! [X0: fun_a_bool,X1: fun_a_bool] :
( ? [X2: x_a] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X0))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1)) )
=> ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sK10(X0,X1)),X0))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sK10(X0,X1)),X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f1097,plain,
! [X0: fun_a_bool,X1: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sK10(X0,X1)),X0))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sK10(X0,X1)),X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f1007,f1096]) ).
tff(f1332,plain,
! [X2: fun_a_bool,X0: x_a,X1: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X1))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(cnf_transformation,[],[f934]) ).
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(f1390,plain,
! [X2: fun_a_bool,X0: x_a,X1: x_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),insert_a(X0,X2)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2)) ),
inference(cnf_transformation,[],[f954]) ).
tff(f1405,plain,
! [X0: fun_a_bool,X1: fun_a_bool] :
( ( X0 = X1 )
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1)) ),
inference(cnf_transformation,[],[f1071]) ).
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(f1468,plain,
! [X2: fun_a_bool,X0: fun_a_bool,X1: x_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),insert_a(X1,X0)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2)) ),
inference(cnf_transformation,[],[f1087]) ).
tff(f1486,plain,
! [X0: fun_a_bool,X1: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sK10(X0,X1)),X1)) ),
inference(cnf_transformation,[],[f1097]) ).
tff(f1487,plain,
! [X0: fun_a_bool,X1: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sK10(X0,X1)),X0)) ),
inference(cnf_transformation,[],[f1097]) ).
tff(f1498,plain,
! [X0: fun_a_bool] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X0)),
inference(cnf_transformation,[],[f667]) ).
tff(f1513,plain,
! [X0: x_a,X1: x_a] :
( ( X0 = X1 )
| ~ hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X0),X1)) ),
inference(cnf_transformation,[],[f680]) ).
tff(f1514,plain,
! [X0: x_a,X1: x_a] :
( hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X0),X1))
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f681]) ).
tff(f1519,plain,
! [X2: x_a,X0: fun_a_fun_a_bool,X1: x_a] : ( hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(X0),X1),X2) = hAPP_a_bool(hAPP_a_fun_a_bool(X0,X2),X1) ),
inference(cnf_transformation,[],[f686]) ).
tff(f1535,plain,
! [X2: x_a,X0: fun_a_1255737515l_bool,X1: fun_a_bool] : ( hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(X0),X1),X2) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(X0,X2),X1) ),
inference(cnf_transformation,[],[f702]) ).
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(f1662,plain,
! [X2: fun_a_bool,X0: x_a,X1: x_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,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),X2)))))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2)) ),
inference(definition_unfolding,[],[f1390,f1348]) ).
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(f1689,plain,
! [X2: fun_a_bool,X0: fun_a_bool,X1: x_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0)))))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2)) ),
inference(definition_unfolding,[],[f1468,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]) ).
tff(f1737,plain,
! [X1: x_a] : hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X1),X1)),
inference(equality_resolution,[],[f1514]) ).
cnf(c_269,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,X0_19),X1_19))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X1_19)) ),
inference(cnf_transformation,[],[f1332]) ).
cnf(c_321,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1_13)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0_19))))) ),
inference(cnf_transformation,[],[f1662]) ).
cnf(c_334,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X1_19))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1_19),X0_19))
| X0_19 = X1_19 ),
inference(cnf_transformation,[],[f1405]) ).
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_394,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),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)))))
| 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,X0_19),X1_19)) ),
inference(cnf_transformation,[],[f1689]) ).
cnf(c_411,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sK10(X0_19,X1_19)),X0_19))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1_19),X0_19)) ),
inference(cnf_transformation,[],[f1487]) ).
cnf(c_412,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sK10(X0_19,X1_19)),X1_19))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1_19),X0_19)) ),
inference(cnf_transformation,[],[f1486]) ).
cnf(c_423,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X0_19)),
inference(cnf_transformation,[],[f1498]) ).
cnf(c_438,plain,
( ~ hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X0_13),X1_13))
| X0_13 = X1_13 ),
inference(cnf_transformation,[],[f1513]) ).
cnf(c_439,plain,
hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X0_13),X0_13)),
inference(cnf_transformation,[],[f1737]) ).
cnf(c_444,plain,
hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(X0_21),X0_13),X1_13) = hAPP_a_bool(hAPP_a_fun_a_bool(X0_21,X1_13),X0_13),
inference(cnf_transformation,[],[f1519]) ).
cnf(c_460,plain,
hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(X0_24),X0_19),X0_13) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(X0_24,X0_13),X0_19),
inference(cnf_transformation,[],[f1535]) ).
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_821,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_364]) ).
cnf(c_822,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(renaming,[status(thm)],[c_821]) ).
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_1143,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1_13)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0_19)))))
| ~ hBOOL(hAPP_a_bool(X0_19,X0_13)) ),
inference(prop_impl_just,[status(thm)],[c_363,c_321]) ).
cnf(c_1144,plain,
( ~ hBOOL(hAPP_a_bool(X0_19,X0_13))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1_13)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0_19))))) ),
inference(renaming,[status(thm)],[c_1143]) ).
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_1976,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X1_19))
| ~ hBOOL(hAPP_a_bool(X0_19,X0_13))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X1_19)) ),
inference(bin_hyper_res,[status(thm)],[c_269,c_823]) ).
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_1989,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),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)))))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X1_19))
| hBOOL(hAPP_a_bool(X0_19,X0_13)) ),
inference(bin_hyper_res,[status(thm)],[c_394,c_822]) ).
cnf(c_5628,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1_13)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0_19)))))
| ~ hBOOL(hAPP_a_bool(X0_19,X0_13)) ),
inference(prop_impl_just,[status(thm)],[c_1144]) ).
cnf(c_5629,plain,
( ~ hBOOL(hAPP_a_bool(X0_19,X0_13))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1_13)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0_19))))) ),
inference(renaming,[status(thm)],[c_5628]) ).
cnf(c_5636,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_9181,plain,
cOMBC_a_a_bool(fequal_a) = sP0_iProver_def,
definition ).
cnf(c_9182,plain,
hAPP_pname_a(mgt_call,pn) = sP1_iProver_def,
definition ).
cnf(c_9183,plain,
hAPP_a_fun_a_bool(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_9184,plain,
cOMBB_1972296269bool_a(fdisj,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_9185,plain,
cOMBC_1355376034l_bool(member_a) = sP4_iProver_def,
definition ).
cnf(c_9186,plain,
hAPP_f2050579477a_bool(sP4_iProver_def,g) = sP5_iProver_def,
definition ).
cnf(c_9187,plain,
cOMBS_a_bool_bool(sP3_iProver_def,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_9188,plain,
collect_a(sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_9189,plain,
hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP7_iProver_def) = sP8_iProver_def,
definition ).
cnf(c_9190,plain,
image_pname_a(mgt_call,u) = sP9_iProver_def,
definition ).
cnf(c_9191,plain,
hAPP_fun_a_bool_bool(sP8_iProver_def,sP9_iProver_def) = sP10_iProver_def,
definition ).
cnf(c_9192,negated_conjecture,
~ hBOOL(sP10_iProver_def),
inference(demodulation,[status(thm)],[c_494,c_9190,c_9185,c_9186,c_9182,c_9181,c_9183,c_9184,c_9187,c_9188,c_9189,c_9191]) ).
cnf(c_12915,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(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,X0_19)))),X1_19)) ),
inference(light_normalisation,[status(thm)],[c_1986,c_9181,c_9185]) ).
cnf(c_12925,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X1_19))
| ~ hBOOL(hAPP_a_bool(X1_19,sP1_iProver_def))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,sP2_iProver_def),hAPP_f2050579477a_bool(sP4_iProver_def,X0_19)))),X1_19)) ),
inference(superposition,[status(thm)],[c_9183,c_12915]) ).
cnf(c_12927,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X1_19))
| ~ hBOOL(hAPP_a_bool(X1_19,sP1_iProver_def))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(sP3_iProver_def,hAPP_f2050579477a_bool(sP4_iProver_def,X0_19)))),X1_19)) ),
inference(light_normalisation,[status(thm)],[c_12925,c_9184]) ).
cnf(c_12942,plain,
( ~ hBOOL(hAPP_a_bool(sP7_iProver_def,X0_13))
| ~ hBOOL(hAPP_fun_a_bool_bool(sP8_iProver_def,X0_19))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19)) ),
inference(superposition,[status(thm)],[c_9189,c_1976]) ).
cnf(c_12956,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),sP9_iProver_def)),
inference(light_normalisation,[status(thm)],[c_489,c_9190]) ).
cnf(c_12957,plain,
( ~ hBOOL(hAPP_a_bool(g,X0_13))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),sP9_iProver_def)) ),
inference(superposition,[status(thm)],[c_12956,c_1976]) ).
cnf(c_12969,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,X1_19)))))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X1_19))
| hBOOL(hAPP_a_bool(X0_19,X0_13)) ),
inference(light_normalisation,[status(thm)],[c_1989,c_9181,c_9185]) ).
cnf(c_13216,plain,
hBOOL(hAPP_pname_bool(u,pn)),
inference(superposition,[status(thm)],[c_492,c_366]) ).
cnf(c_13259,plain,
( ~ hBOOL(hAPP_a_bool(g,X0_13))
| hBOOL(hAPP_a_bool(sP9_iProver_def,X0_13)) ),
inference(superposition,[status(thm)],[c_12957,c_364]) ).
cnf(c_13781,plain,
hAPP_a_bool(hAPP_f2050579477a_bool(sP4_iProver_def,X0_19),X0_13) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19),
inference(superposition,[status(thm)],[c_9185,c_460]) ).
cnf(c_13801,plain,
hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),g) = hAPP_a_bool(sP5_iProver_def,X0_13),
inference(superposition,[status(thm)],[c_9186,c_13781]) ).
cnf(c_13804,plain,
( ~ hBOOL(hAPP_a_bool(sP5_iProver_def,X0_13))
| hBOOL(hAPP_a_bool(g,X0_13)) ),
inference(superposition,[status(thm)],[c_13801,c_364]) ).
cnf(c_13970,plain,
( hBOOL(hAPP_a_bool(sP5_iProver_def,sK10(X0_19,g)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),X0_19)) ),
inference(superposition,[status(thm)],[c_13801,c_412]) ).
cnf(c_13971,plain,
( hBOOL(hAPP_a_bool(X0_19,sK10(X1_19,X0_19)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X1_19)) ),
inference(superposition,[status(thm)],[c_412,c_364]) ).
cnf(c_14050,plain,
( hBOOL(hAPP_a_bool(g,sK10(X0_19,sP5_iProver_def)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP5_iProver_def),X0_19)) ),
inference(superposition,[status(thm)],[c_13971,c_13804]) ).
cnf(c_14093,plain,
( ~ hBOOL(hAPP_a_bool(X0_19,X0_13))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X1_13)),hAPP_f2050579477a_bool(sP4_iProver_def,X0_19))))) ),
inference(light_normalisation,[status(thm)],[c_5629,c_9181,c_9185]) ).
cnf(c_14102,plain,
( ~ hBOOL(hAPP_a_bool(X0_19,X0_13))
| hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X1_13)),hAPP_f2050579477a_bool(sP4_iProver_def,X0_19))),X0_13)) ),
inference(superposition,[status(thm)],[c_14093,c_364]) ).
cnf(c_14219,plain,
( hBOOL(hAPP_a_bool(sP9_iProver_def,sK10(X0_19,sP5_iProver_def)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP5_iProver_def),X0_19)) ),
inference(superposition,[status(thm)],[c_14050,c_13259]) ).
cnf(c_14266,plain,
( ~ hBOOL(hAPP_pname_bool(X0_27,pn))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sP1_iProver_def),image_pname_a(mgt_call,X0_27))) ),
inference(superposition,[status(thm)],[c_9182,c_5636]) ).
cnf(c_14504,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,X1_19)))))
| ~ hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,X1_19))),sP1_iProver_def))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(sP3_iProver_def,hAPP_f2050579477a_bool(sP4_iProver_def,X0_19)))),X1_19))
| hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(sP3_iProver_def,hAPP_f2050579477a_bool(sP4_iProver_def,X0_19))),X0_13)) ),
inference(superposition,[status(thm)],[c_12927,c_12969]) ).
cnf(c_14539,plain,
( ~ hBOOL(hAPP_a_bool(X0_19,sK10(X0_19,X1_19)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1_19),X0_19)) ),
inference(superposition,[status(thm)],[c_363,c_411]) ).
cnf(c_14542,plain,
( ~ hBOOL(hAPP_a_bool(X0_19,sK10(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,X0_19))),X1_19)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1_19),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,X0_19))))) ),
inference(superposition,[status(thm)],[c_14093,c_411]) ).
cnf(c_14609,plain,
( ~ hBOOL(hAPP_pname_bool(u,pn))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sP1_iProver_def),sP9_iProver_def)) ),
inference(superposition,[status(thm)],[c_9190,c_14266]) ).
cnf(c_14613,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sP1_iProver_def),sP9_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_14609,c_13216]) ).
cnf(c_14641,plain,
hBOOL(hAPP_a_bool(sP9_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_14613,c_364]) ).
cnf(c_14835,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),sP5_iProver_def)),
inference(superposition,[status(thm)],[c_13970,c_14539]) ).
cnf(c_14838,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP5_iProver_def),g)),
inference(superposition,[status(thm)],[c_14050,c_14539]) ).
cnf(c_17147,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP5_iProver_def),g))
| g = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_14835,c_334]) ).
cnf(c_17170,plain,
g = sP5_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_17147,c_14838]) ).
cnf(c_17242,plain,
hAPP_f2050579477a_bool(sP4_iProver_def,sP5_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_9186,c_17170]) ).
cnf(c_20991,plain,
hBOOL(hAPP_fun_a_bool_bool(sP8_iProver_def,sP7_iProver_def)),
inference(superposition,[status(thm)],[c_9189,c_423]) ).
cnf(c_20992,plain,
( ~ hBOOL(hAPP_a_bool(sP7_iProver_def,X0_13))
| ~ hBOOL(hAPP_fun_a_bool_bool(sP8_iProver_def,X0_19))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19)) ),
inference(superposition,[status(thm)],[c_9189,c_1976]) ).
cnf(c_21005,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),sP9_iProver_def)),
inference(light_normalisation,[status(thm)],[c_489,c_9190]) ).
cnf(c_21006,plain,
( ~ hBOOL(hAPP_a_bool(g,X0_13))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),sP9_iProver_def)) ),
inference(superposition,[status(thm)],[c_21005,c_1976]) ).
cnf(c_21017,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,X1_19)))))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X1_19))
| hBOOL(hAPP_a_bool(X0_19,X0_13)) ),
inference(light_normalisation,[status(thm)],[c_1989,c_9181,c_9185]) ).
cnf(c_21031,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),sP5_iProver_def))))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),g))
| hBOOL(hAPP_a_bool(X0_19,X0_13)) ),
inference(superposition,[status(thm)],[c_9186,c_21017]) ).
cnf(c_21274,plain,
hBOOL(hAPP_pname_bool(u,pn)),
inference(superposition,[status(thm)],[c_492,c_366]) ).
cnf(c_21321,plain,
( ~ hBOOL(hAPP_a_bool(g,X0_13))
| hBOOL(hAPP_a_bool(sP9_iProver_def,X0_13)) ),
inference(superposition,[status(thm)],[c_21006,c_364]) ).
cnf(c_23778,plain,
hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X0_13),X1_13) = hAPP_a_bool(hAPP_a_fun_a_bool(sP0_iProver_def,X1_13),X0_13),
inference(superposition,[status(thm)],[c_9181,c_444]) ).
cnf(c_23779,plain,
hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(sP0_iProver_def,X0_13),X0_13)),
inference(demodulation,[status(thm)],[c_439,c_23778]) ).
cnf(c_23907,plain,
hAPP_a_bool(hAPP_f2050579477a_bool(sP4_iProver_def,X0_19),X0_13) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19),
inference(superposition,[status(thm)],[c_9185,c_460]) ).
cnf(c_23908,plain,
( ~ hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(sP0_iProver_def,X0_13),X1_13))
| X0_13 = X1_13 ),
inference(superposition,[status(thm)],[c_23778,c_438]) ).
cnf(c_23937,plain,
hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),g) = hAPP_a_bool(sP5_iProver_def,X0_13),
inference(superposition,[status(thm)],[c_9186,c_23907]) ).
cnf(c_24000,plain,
( ~ hBOOL(hAPP_a_bool(sP5_iProver_def,X0_13))
| hBOOL(hAPP_a_bool(g,X0_13)) ),
inference(superposition,[status(thm)],[c_23937,c_364]) ).
cnf(c_24599,plain,
( hBOOL(hAPP_a_bool(X0_19,sK10(X1_19,X0_19)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),X1_19)) ),
inference(superposition,[status(thm)],[c_412,c_364]) ).
cnf(c_25001,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP5_iProver_def),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,sP9_iProver_def))))),
inference(superposition,[status(thm)],[c_14219,c_14542]) ).
cnf(c_25112,plain,
( hBOOL(hAPP_a_bool(g,sK10(X0_19,sP5_iProver_def)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP5_iProver_def),X0_19)) ),
inference(superposition,[status(thm)],[c_24599,c_24000]) ).
cnf(c_26346,plain,
( hBOOL(hAPP_a_bool(sP9_iProver_def,sK10(X0_19,sP5_iProver_def)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP5_iProver_def),X0_19)) ),
inference(superposition,[status(thm)],[c_25112,c_21321]) ).
cnf(c_26523,plain,
( ~ hBOOL(hAPP_pname_bool(X0_27,pn))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sP1_iProver_def),image_pname_a(mgt_call,X0_27))) ),
inference(superposition,[status(thm)],[c_9182,c_5636]) ).
cnf(c_27102,plain,
( ~ hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,sP9_iProver_def))),sP1_iProver_def))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(sP3_iProver_def,hAPP_f2050579477a_bool(sP4_iProver_def,sP5_iProver_def)))),sP9_iProver_def))
| hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(sP3_iProver_def,hAPP_f2050579477a_bool(sP4_iProver_def,sP5_iProver_def))),X0_13)) ),
inference(superposition,[status(thm)],[c_25001,c_14504]) ).
cnf(c_27113,plain,
( ~ hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,sP9_iProver_def))),sP1_iProver_def))
| hBOOL(hAPP_a_bool(sP7_iProver_def,X0_13))
| hBOOL(sP10_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_27102,c_9187,c_9188,c_9189,c_9191,c_17242]) ).
cnf(c_27114,plain,
( ~ hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(sP0_iProver_def,X0_13)),hAPP_f2050579477a_bool(sP4_iProver_def,sP9_iProver_def))),sP1_iProver_def))
| hBOOL(hAPP_a_bool(sP7_iProver_def,X0_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27113,c_9192]) ).
cnf(c_27149,plain,
( ~ hBOOL(hAPP_a_bool(sP9_iProver_def,sP1_iProver_def))
| hBOOL(hAPP_a_bool(sP7_iProver_def,X0_13)) ),
inference(superposition,[status(thm)],[c_14102,c_27114]) ).
cnf(c_27151,plain,
hBOOL(hAPP_a_bool(sP7_iProver_def,X0_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_27149,c_14641]) ).
cnf(c_27153,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(sP8_iProver_def,X0_19))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_12942,c_27151]) ).
cnf(c_28423,plain,
( ~ hBOOL(hAPP_a_bool(X0_19,sK10(X0_19,X1_19)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1_19),X0_19)) ),
inference(superposition,[status(thm)],[c_363,c_411]) ).
cnf(c_28627,plain,
( ~ hBOOL(hAPP_pname_bool(u,pn))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sP1_iProver_def),sP9_iProver_def)) ),
inference(superposition,[status(thm)],[c_9190,c_26523]) ).
cnf(c_28631,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,sP1_iProver_def),sP9_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_28627,c_21274]) ).
cnf(c_28651,plain,
hBOOL(hAPP_a_bool(sP9_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_28631,c_364]) ).
cnf(c_29040,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(sP8_iProver_def,X0_19))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),X0_19)) ),
inference(global_subsumption_just,[status(thm)],[c_20992,c_27153]) ).
cnf(c_29047,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(sP8_iProver_def,X0_19))
| hBOOL(hAPP_a_bool(X0_19,X0_13)) ),
inference(superposition,[status(thm)],[c_29040,c_364]) ).
cnf(c_29426,plain,
hBOOL(hAPP_a_bool(sP7_iProver_def,X0_13)),
inference(superposition,[status(thm)],[c_20991,c_29047]) ).
cnf(c_29846,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),sP7_iProver_def)),
inference(superposition,[status(thm)],[c_29426,c_28423]) ).
cnf(c_29856,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP5_iProver_def),sP9_iProver_def)),
inference(superposition,[status(thm)],[c_26346,c_28423]) ).
cnf(c_30228,plain,
( ~ hBOOL(hAPP_a_bool(sP5_iProver_def,X0_13))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),sP9_iProver_def)) ),
inference(superposition,[status(thm)],[c_29856,c_1976]) ).
cnf(c_30757,plain,
( ~ hBOOL(hAPP_a_bool(sP5_iProver_def,sK10(sP9_iProver_def,X0_19)))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),sP9_iProver_def)) ),
inference(superposition,[status(thm)],[c_30228,c_411]) ).
cnf(c_31061,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,sP2_iProver_def),sP5_iProver_def))))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),g))
| hBOOL(hAPP_a_bool(X0_19,sP1_iProver_def)) ),
inference(superposition,[status(thm)],[c_9183,c_21031]) ).
cnf(c_31062,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),sP7_iProver_def))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),g))
| hBOOL(hAPP_a_bool(X0_19,sP1_iProver_def)) ),
inference(light_normalisation,[status(thm)],[c_31061,c_9184,c_9187,c_9188]) ).
cnf(c_31063,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),g))
| hBOOL(hAPP_a_bool(X0_19,sP1_iProver_def)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31062,c_29846]) ).
cnf(c_31187,plain,
( ~ hBOOL(hAPP_a_bool(X0_19,X0_13))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0_13),g))
| hBOOL(hAPP_a_bool(X0_19,sP1_iProver_def)) ),
inference(superposition,[status(thm)],[c_31063,c_1976]) ).
cnf(c_31190,plain,
( ~ hBOOL(hAPP_a_bool(X0_19,X0_13))
| hBOOL(hAPP_a_bool(X0_19,sP1_iProver_def))
| hBOOL(hAPP_a_bool(sP5_iProver_def,X0_13)) ),
inference(light_normalisation,[status(thm)],[c_31187,c_23937]) ).
cnf(c_31523,plain,
( hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(sP0_iProver_def,X0_13),sP1_iProver_def))
| hBOOL(hAPP_a_bool(sP5_iProver_def,X0_13)) ),
inference(superposition,[status(thm)],[c_23779,c_31190]) ).
cnf(c_31775,plain,
( X0_13 = sP1_iProver_def
| hBOOL(hAPP_a_bool(sP5_iProver_def,X0_13)) ),
inference(superposition,[status(thm)],[c_31523,c_23908]) ).
cnf(c_31794,plain,
( sK10(sP9_iProver_def,X0_19) = sP1_iProver_def
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_19),sP9_iProver_def)) ),
inference(superposition,[status(thm)],[c_31775,c_30757]) ).
cnf(c_32827,plain,
( sK10(sP9_iProver_def,sP7_iProver_def) = sP1_iProver_def
| hBOOL(hAPP_fun_a_bool_bool(sP8_iProver_def,sP9_iProver_def)) ),
inference(superposition,[status(thm)],[c_9189,c_31794]) ).
cnf(c_32830,plain,
( sK10(sP9_iProver_def,sP7_iProver_def) = sP1_iProver_def
| hBOOL(sP10_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_32827,c_9191]) ).
cnf(c_32831,plain,
sK10(sP9_iProver_def,sP7_iProver_def) = sP1_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_32830,c_9192]) ).
cnf(c_32837,plain,
( ~ hBOOL(hAPP_a_bool(sP9_iProver_def,sP1_iProver_def))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,sP7_iProver_def),sP9_iProver_def)) ),
inference(superposition,[status(thm)],[c_32831,c_28423]) ).
cnf(c_32844,plain,
( ~ hBOOL(hAPP_a_bool(sP9_iProver_def,sP1_iProver_def))
| hBOOL(sP10_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_32837,c_9189,c_9191]) ).
cnf(c_32845,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_32844,c_9192,c_28651]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SWW473_1 : TPTP v8.2.0. Released v5.3.0.
% 0.02/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n014.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 : Wed Jun 19 09:47:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.55/3.14 % SZS status Started for theBenchmark.p
% 17.55/3.14 % SZS status Theorem for theBenchmark.p
% 17.55/3.14
% 17.55/3.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.55/3.14
% 17.55/3.14 ------ iProver source info
% 17.55/3.14
% 17.55/3.14 git: date: 2024-06-12 09:56:46 +0000
% 17.55/3.14 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 17.55/3.14 git: non_committed_changes: false
% 17.55/3.14
% 17.55/3.14 ------ Parsing...
% 17.55/3.14 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 17.55/3.14
% 17.55/3.14
% 17.55/3.14 ------ Preprocessing... sup_sim: 135 pe_s pe_e sup_sim: 0 pe_s pe_e
% 17.55/3.14
% 17.55/3.14 ------ Preprocessing...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 17.55/3.14 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
% 17.55/3.14
% 17.55/3.14
% 17.55/3.14 ------ Preprocessing...
% 17.55/3.14 ------ Proving...
% 17.55/3.14 ------ Problem Properties
% 17.55/3.14
% 17.55/3.14
% 17.55/3.14 clauses 371
% 17.55/3.14 conjectures 1
% 17.55/3.14 EPR 1
% 17.55/3.14 Horn 339
% 17.55/3.14 unary 101
% 17.55/3.14 binary 188
% 17.55/3.14 lits 734
% 17.55/3.14 lits eq 130
% 17.55/3.14 fd_pure 0
% 17.55/3.14 fd_pseudo 0
% 17.55/3.14 fd_cond 0
% 17.55/3.14 fd_pseudo_cond 28
% 17.55/3.14 AC symbols 0
% 17.55/3.14
% 17.55/3.14 ------ Schedule dynamic 5 is on
% 17.55/3.14
% 17.55/3.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.55/3.14
% 17.55/3.14
% 17.55/3.14 ------
% 17.55/3.14 Current options:
% 17.55/3.14 ------
% 17.55/3.14
% 17.55/3.14
% 17.55/3.14
% 17.55/3.14
% 17.55/3.14 ------ Proving...
% 17.55/3.14
% 17.55/3.14
% 17.55/3.14 % SZS status Theorem for theBenchmark.p
% 17.55/3.14
% 17.55/3.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.55/3.14
% 17.55/3.15
%------------------------------------------------------------------------------