TSTP Solution File: ITP021_2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ITP021_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 17:23:42 EDT 2022
% Result : Theorem 7.21s 1.35s
% Output : Refutation 7.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 160
% Syntax : Number of formulae : 692 ( 65 unt; 30 typ; 0 def)
% Number of atoms : 2737 ( 315 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2069 ( 788 ~;1133 |; 22 &)
% ( 110 <=>; 13 =>; 0 <=; 3 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 794 ( 794 fml; 0 var)
% Number of types : 5 ( 3 usr)
% Number of type conns : 30 ( 19 >; 11 *; 0 +; 0 <<)
% Number of predicates : 118 ( 116 usr; 114 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 8 con; 0-3 aty)
% Number of variables : 524 ( 509 !; 15 ?; 506 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
tp__o: $tType ).
tff(type_def_7,type,
tp__ty_2Eextreal_2Eextreal: $tType ).
tff(func_def_0,type,
bool: del ).
tff(func_def_1,type,
ind: del ).
tff(func_def_2,type,
arr: ( del * del ) > del ).
tff(func_def_4,type,
k: ( del * $i ) > $i ).
tff(func_def_5,type,
i: del > $i ).
tff(func_def_6,type,
inj__o: tp__o > $i ).
tff(func_def_7,type,
surj__o: $i > tp__o ).
tff(func_def_9,type,
fo__c_2Ebool_2ET: tp__o ).
tff(func_def_10,type,
ty_2Eextreal_2Eextreal: del ).
tff(func_def_11,type,
inj__ty_2Eextreal_2Eextreal: tp__ty_2Eextreal_2Eextreal > $i ).
tff(func_def_12,type,
surj__ty_2Eextreal_2Eextreal: $i > tp__ty_2Eextreal_2Eextreal ).
tff(func_def_14,type,
fo__c_2Eextreal_2Eextreal__le: ( tp__ty_2Eextreal_2Eextreal * tp__ty_2Eextreal_2Eextreal ) > tp__o ).
tff(func_def_15,type,
c_2Ebool_2ECOND: del > $i ).
tff(func_def_17,type,
fo__c_2Eextreal_2Eextreal__max: ( tp__ty_2Eextreal_2Eextreal * tp__ty_2Eextreal_2Eextreal ) > tp__ty_2Eextreal_2Eextreal ).
tff(func_def_19,type,
fo__c_2Ebool_2EF: tp__o ).
tff(func_def_21,type,
fo__c_2Emin_2E_3D_3D_3E: ( tp__o * tp__o ) > tp__o ).
tff(func_def_23,type,
fo__c_2Ebool_2E_5C_2F: ( tp__o * tp__o ) > tp__o ).
tff(func_def_25,type,
fo__c_2Ebool_2E_2F_5C: ( tp__o * tp__o ) > tp__o ).
tff(func_def_27,type,
fo__c_2Ebool_2E_7E: tp__o > tp__o ).
tff(func_def_28,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_29,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_30,type,
sK0: ( $i * del * $i ) > $i ).
tff(func_def_31,type,
sK1: ( del * $i ) > $i ).
tff(func_def_32,type,
sK2: tp__ty_2Eextreal_2Eextreal ).
tff(func_def_33,type,
sK3: tp__ty_2Eextreal_2Eextreal ).
tff(func_def_34,type,
sK4: tp__ty_2Eextreal_2Eextreal ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
tff(f3124,plain,
$false,
inference(avatar_smt_refutation,[],[f1321,f1326,f1327,f1332,f1337,f1342,f1347,f1352,f1357,f1364,f1369,f1374,f1379,f1384,f1390,f1402,f1406,f1413,f1419,f1422,f1425,f1427,f1439,f1444,f1453,f1454,f1455,f1456,f1459,f1461,f1464,f1465,f1466,f1484,f1491,f1492,f1499,f1506,f1507,f1508,f1509,f1521,f1533,f1539,f1547,f1593,f1595,f1613,f1618,f1621,f1622,f1635,f1638,f1639,f1648,f1836,f1842,f1848,f1886,f1952,f1957,f1962,f1967,f1972,f1977,f1980,f1981,f2027,f2034,f2040,f2055,f2056,f2057,f2059,f2060,f2113,f2118,f2120,f2267,f2272,f2277,f2286,f2291,f2297,f2302,f2307,f2313,f2319,f2324,f2329,f2334,f2339,f2341,f2346,f2351,f2353,f2358,f2363,f2369,f2375,f2381,f2386,f2391,f2396,f2401,f2403,f2408,f2411,f2413,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2475,f2476,f2478,f2479,f2480,f2491,f2509,f2531,f2533,f2536,f2551,f2572,f2577,f2613,f2620,f2627,f2668,f2669,f2671,f2709,f2714,f2719,f2725,f2809,f2814,f2819,f2824,f2892,f2899,f2900,f2901,f2902,f2904,f2905,f2906,f2907,f2908,f2911,f2912,f2928,f2943,f2969,f2972,f2973,f3014,f3020,f3032,f3047,f3115,f3122]) ).
tff(f3122,plain,
( spl5_105
| ~ spl5_21
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f3117,f2940,f1441,f3119]) ).
tff(f3119,plain,
( spl5_105
<=> ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK2,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_105])]) ).
tff(f1441,plain,
( spl5_21
<=> ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
tff(f2940,plain,
( spl5_98
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_98])]) ).
tff(f3117,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK2,sK3) )
| ~ spl5_21
| ~ spl5_98 ),
inference(forward_demodulation,[],[f3098,f1443]) ).
tff(f1443,plain,
( ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) )
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f1441]) ).
tff(f3098,plain,
( ( fo__c_2Eextreal_2Eextreal__le(sK2,sK3) = surj__o(c_2Ebool_2ET) )
| ~ spl5_98 ),
inference(superposition,[],[f775,f2942]) ).
tff(f2942,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)) )
| ~ spl5_98 ),
inference(avatar_component_clause,[],[f2940]) ).
tff(f775,plain,
! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
tff(f131,plain,
! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X3: tp__o] : ( surj__o(inj__o(X3)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_surj_o) ).
tff(f3115,plain,
( spl5_104
| ~ spl5_10
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f3110,f2940,f1354,f3112]) ).
tff(f3112,plain,
( spl5_104
<=> ( sK3 = fo__c_2Eextreal_2Eextreal__max(sK2,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_104])]) ).
tff(f1354,plain,
( spl5_10
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
tff(f3110,plain,
( ( sK3 = fo__c_2Eextreal_2Eextreal__max(sK2,sK3) )
| ~ spl5_10
| ~ spl5_98 ),
inference(forward_demodulation,[],[f3109,f241]) ).
tff(f241,plain,
! [X0: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(X0)) = X0 ),
inference(cnf_transformation,[],[f137]) ).
tff(f137,plain,
! [X0: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(X0)) = X0 ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X3: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(X3)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_surj_ty_2Eextreal_2Eextreal) ).
tff(f3109,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK2,sK3) = surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(sK3)) )
| ~ spl5_10
| ~ spl5_98 ),
inference(forward_demodulation,[],[f3084,f1753]) ).
tff(f1753,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) = inj__ty_2Eextreal_2Eextreal(X0) )
| ~ spl5_10 ),
inference(resolution,[],[f1571,f666]) ).
tff(f666,plain,
! [X0: tp__ty_2Eextreal_2Eextreal] : mem(inj__ty_2Eextreal_2Eextreal(X0),ty_2Eextreal_2Eextreal),
inference(cnf_transformation,[],[f123]) ).
tff(f123,plain,
! [X0: tp__ty_2Eextreal_2Eextreal] : mem(inj__ty_2Eextreal_2Eextreal(X0),ty_2Eextreal_2Eextreal),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X3: tp__ty_2Eextreal_2Eextreal] : mem(inj__ty_2Eextreal_2Eextreal(X3),ty_2Eextreal_2Eextreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_mem_ty_2Eextreal_2Eextreal) ).
tff(f1571,plain,
( ! [X3: tp__ty_2Eextreal_2Eextreal,X4: $i] :
( ~ mem(X4,ty_2Eextreal_2Eextreal)
| ( inj__ty_2Eextreal_2Eextreal(X3) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(X3)),X4) ) )
| ~ spl5_10 ),
inference(resolution,[],[f1407,f666]) ).
tff(f1407,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ~ mem(X1,X0)
| ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1 )
| ~ mem(X2,X0) )
| ~ spl5_10 ),
inference(backward_demodulation,[],[f680,f1356]) ).
tff(f1356,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET) )
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f1354]) ).
tff(f680,plain,
! [X2: $i,X0: del,X1: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2ET)),X1),X2) = X1 )
| ~ mem(X1,X0)
| ~ mem(X2,X0) ),
inference(cnf_transformation,[],[f148]) ).
tff(f148,plain,
! [X0: del,X1] :
( ! [X2] :
( ~ mem(X2,X0)
| ( ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2ET)),X1),X2) = X1 )
& ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2EF)),X1),X2) = X2 ) ) )
| ~ mem(X1,X0) ),
inference(ennf_transformation,[],[f95]) ).
tff(f95,plain,
! [X1,X0: del] :
( mem(X1,X0)
=> ! [X2] :
( mem(X2,X0)
=> ( ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2ET)),X1),X2) = X1 )
& ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2EF)),X1),X2) = X2 ) ) ) ),
inference(rectify,[],[f49]) ).
tff(f49,axiom,
! [X10: del,X11] :
( mem(X11,X10)
=> ! [X12] :
( mem(X12,X10)
=> ( ( ap(ap(ap(c_2Ebool_2ECOND(X10),inj__o(fo__c_2Ebool_2EF)),X11),X12) = X12 )
& ( ap(ap(ap(c_2Ebool_2ECOND(X10),inj__o(fo__c_2Ebool_2ET)),X11),X12) = X11 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebool_2ECOND__CLAUSES) ).
tff(f3084,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK2,sK3) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK2))) )
| ~ spl5_98 ),
inference(superposition,[],[f1392,f2942]) ).
tff(f1392,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( fo__c_2Eextreal_2Eextreal__max(X0,X1) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(backward_demodulation,[],[f1359,f304]) ).
tff(f304,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)) = inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)) ),
inference(cnf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)) = inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)) ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X9: tp__ty_2Eextreal_2Eextreal,X8: tp__ty_2Eextreal_2Eextreal] : ( inj__o(fo__c_2Eextreal_2Eextreal__le(X8,X9)) = ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X8)),inj__ty_2Eextreal_2Eextreal(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Eextreal_2Eextreal__le) ).
tff(f1359,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) = fo__c_2Eextreal_2Eextreal__max(X0,X1) ),
inference(forward_demodulation,[],[f1358,f241]) ).
tff(f1358,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X0,X1))) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(backward_demodulation,[],[f674,f758]) ).
tff(f758,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)) = inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X1,X0)) ),
inference(cnf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)) = inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X1,X0)) ),
inference(rectify,[],[f136]) ).
tff(f136,plain,
! [X1: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X0,X1)) = ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)) ),
inference(rectify,[],[f19]) ).
tff(f19,axiom,
! [X8: tp__ty_2Eextreal_2Eextreal,X9: tp__ty_2Eextreal_2Eextreal] : ( inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(X8,X9)) = ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X8)),inj__ty_2Eextreal_2Eextreal(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Eextreal_2Eextreal__max) ).
tff(f674,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(cnf_transformation,[],[f196]) ).
tff(f196,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(rectify,[],[f74]) ).
tff(f74,plain,
! [X1: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))),inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(rectify,[],[f55]) ).
tff(f55,axiom,
! [X15: tp__ty_2Eextreal_2Eextreal,X14: tp__ty_2Eextreal_2Eextreal] : ( surj__ty_2Eextreal_2Eextreal(ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X14)),inj__ty_2Eextreal_2Eextreal(X15))) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X14)),inj__ty_2Eextreal_2Eextreal(X15))),inj__ty_2Eextreal_2Eextreal(X15)),inj__ty_2Eextreal_2Eextreal(X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Eextreal_2Eextreal__max__def) ).
tff(f3047,plain,
( spl5_48
| spl5_103
| ~ spl5_18
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f3043,f1646,f1410,f3045,f2262]) ).
tff(f2262,plain,
( spl5_48
<=> ! [X52: tp__o] : ~ p(inj__o(X52)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
tff(f3045,plain,
( spl5_103
<=> ! [X9: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK4)) )
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_103])]) ).
tff(f1410,plain,
( spl5_18
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
tff(f1646,plain,
( spl5_33
<=> ! [X2: tp__o] :
( ( c_2Ebool_2ET = inj__o(X2) )
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
tff(f3043,plain,
( ! [X10: tp__o,X9: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK4)) )
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK2)))
| ~ p(inj__o(X10)) )
| ~ spl5_18
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f3041,f1647]) ).
tff(f1647,plain,
( ! [X2: tp__o] :
( ~ p(inj__o(X2))
| ( c_2Ebool_2ET = inj__o(X2) ) )
| ~ spl5_33 ),
inference(avatar_component_clause,[],[f1646]) ).
tff(f3041,plain,
( ! [X10: tp__o,X9: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X10))
| ( inj__o(X10) = inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK4)) )
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK2))) )
| ~ spl5_18 ),
inference(resolution,[],[f2919,f1642]) ).
tff(f1642,plain,
! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| ( inj__o(X1) = inj__o(X0) )
| ~ p(inj__o(X0)) ),
inference(resolution,[],[f1541,f787]) ).
tff(f787,plain,
! [X0: tp__o] : mem(inj__o(X0),bool),
inference(cnf_transformation,[],[f82]) ).
tff(f82,plain,
! [X0: tp__o] : mem(inj__o(X0),bool),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X3: tp__o] : mem(inj__o(X3),bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_mem_o) ).
tff(f1541,plain,
! [X0: $i,X1: tp__o] :
( ~ mem(X0,bool)
| ~ p(X0)
| ( inj__o(X1) = X0 )
| ~ p(inj__o(X1)) ),
inference(resolution,[],[f244,f787]) ).
tff(f244,plain,
! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| ~ mem(X1,bool)
| ~ p(X1)
| ( X0 = X1 )
| ~ p(X0) ),
inference(cnf_transformation,[],[f174]) ).
tff(f174,plain,
! [X0] :
( ~ mem(X0,bool)
| ! [X1] :
( ( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
| ( X0 = X1 )
| ~ mem(X1,bool) ) ),
inference(nnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0] :
( ~ mem(X0,bool)
| ! [X1] :
( ( p(X0)
<~> p(X1) )
| ( X0 = X1 )
| ~ mem(X1,bool) ) ),
inference(flattening,[],[f146]) ).
tff(f146,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1 )
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f132]) ).
tff(f132,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( ( p(X1)
<=> p(X0) )
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( ( p(X4)
<=> p(X5) )
=> ( X4 = X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolext) ).
tff(f2919,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,sK4)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,sK2))) )
| ~ spl5_18 ),
inference(resolution,[],[f1411,f1396]) ).
tff(f1396,plain,
! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X0))) ),
inference(forward_demodulation,[],[f1395,f304]) ).
tff(f1395,plain,
! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1))) ),
inference(forward_demodulation,[],[f1394,f304]) ).
tff(f1394,plain,
! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X1)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(forward_demodulation,[],[f835,f304]) ).
tff(f835,plain,
! [X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X1)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(cnf_transformation,[],[f232]) ).
tff(f232,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(rectify,[],[f151]) ).
tff(f151,plain,
! [X1: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X1)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(flattening,[],[f150]) ).
tff(f150,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X1)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(ennf_transformation,[],[f70]) ).
tff(f70,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) )
=> p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(rectify,[],[f53]) ).
tff(f53,axiom,
! [X15: tp__ty_2Eextreal_2Eextreal,X19: tp__ty_2Eextreal_2Eextreal,X14: tp__ty_2Eextreal_2Eextreal] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X14)),inj__ty_2Eextreal_2Eextreal(X15)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X15)),inj__ty_2Eextreal_2Eextreal(X19))) )
=> p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X14)),inj__ty_2Eextreal_2Eextreal(X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__trans) ).
tff(f1411,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)))
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f1410]) ).
tff(f3032,plain,
( spl5_48
| spl5_102
| ~ spl5_22
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f3027,f1646,f1450,f3029,f2262]) ).
tff(f3029,plain,
( spl5_102
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_102])]) ).
tff(f1450,plain,
( spl5_22
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,fo__c_2Eextreal_2Eextreal__max(sK2,sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
tff(f3027,plain,
( ! [X2: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))) )
| ~ p(inj__o(X2)) )
| ~ spl5_22
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f3026,f1647]) ).
tff(f3026,plain,
( ! [X2: tp__o] :
( ( inj__o(X2) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))) )
| ~ p(inj__o(X2)) )
| ~ spl5_22 ),
inference(resolution,[],[f1452,f1642]) ).
tff(f1452,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| ~ spl5_22 ),
inference(avatar_component_clause,[],[f1450]) ).
tff(f3020,plain,
( spl5_101
| ~ spl5_21
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f3015,f2925,f1441,f3017]) ).
tff(f3017,plain,
( spl5_101
<=> ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK2,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_101])]) ).
tff(f2925,plain,
( spl5_97
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_97])]) ).
tff(f3015,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK2,sK4) )
| ~ spl5_21
| ~ spl5_97 ),
inference(forward_demodulation,[],[f2995,f1443]) ).
tff(f2995,plain,
( ( surj__o(c_2Ebool_2ET) = fo__c_2Eextreal_2Eextreal__le(sK2,sK4) )
| ~ spl5_97 ),
inference(superposition,[],[f775,f2927]) ).
tff(f2927,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)) )
| ~ spl5_97 ),
inference(avatar_component_clause,[],[f2925]) ).
tff(f3014,plain,
( spl5_100
| ~ spl5_10
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f3009,f2925,f1354,f3011]) ).
tff(f3011,plain,
( spl5_100
<=> ( sK4 = fo__c_2Eextreal_2Eextreal__max(sK2,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_100])]) ).
tff(f3009,plain,
( ( sK4 = fo__c_2Eextreal_2Eextreal__max(sK2,sK4) )
| ~ spl5_10
| ~ spl5_97 ),
inference(forward_demodulation,[],[f3008,f241]) ).
tff(f3008,plain,
( ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(sK4)) = fo__c_2Eextreal_2Eextreal__max(sK2,sK4) )
| ~ spl5_10
| ~ spl5_97 ),
inference(forward_demodulation,[],[f2981,f1753]) ).
tff(f2981,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK2,sK4) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(sK4)),inj__ty_2Eextreal_2Eextreal(sK2))) )
| ~ spl5_97 ),
inference(superposition,[],[f1392,f2927]) ).
tff(f2973,plain,
( spl5_99
| spl5_17
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f2963,f1633,f1399,f2966]) ).
tff(f2966,plain,
( spl5_99
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_99])]) ).
tff(f1399,plain,
( spl5_17
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
tff(f1633,plain,
( spl5_32
<=> ! [X3: tp__o] :
( p(inj__o(X3))
| ( inj__o(X3) = c_2Ebool_2EF ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
tff(f2963,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)) )
| spl5_17
| ~ spl5_32 ),
inference(resolution,[],[f1400,f1634]) ).
tff(f1634,plain,
( ! [X3: tp__o] :
( p(inj__o(X3))
| ( inj__o(X3) = c_2Ebool_2EF ) )
| ~ spl5_32 ),
inference(avatar_component_clause,[],[f1633]) ).
tff(f1400,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)))
| spl5_17 ),
inference(avatar_component_clause,[],[f1399]) ).
tff(f2972,plain,
( spl5_53
| spl5_99
| spl5_17
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f2971,f1633,f1399,f2966,f2284]) ).
tff(f2284,plain,
( spl5_53
<=> ! [X72: tp__o] : p(inj__o(X72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
tff(f2971,plain,
( ! [X8: tp__o] :
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)) )
| p(inj__o(X8)) )
| spl5_17
| ~ spl5_32 ),
inference(forward_subsumption_demodulation,[],[f2961,f1634]) ).
tff(f2961,plain,
( ! [X8: tp__o] :
( p(inj__o(X8))
| ( inj__o(X8) = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)) ) )
| spl5_17 ),
inference(resolution,[],[f1400,f1629]) ).
tff(f1629,plain,
! [X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ( inj__o(X1) = inj__o(X0) ) ),
inference(resolution,[],[f1527,f787]) ).
tff(f1527,plain,
! [X0: tp__o,X1: $i] :
( ~ mem(X1,bool)
| p(inj__o(X0))
| p(X1)
| ( inj__o(X0) = X1 ) ),
inference(resolution,[],[f243,f787]) ).
tff(f243,plain,
! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| p(X0)
| p(X1)
| ~ mem(X1,bool)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f174]) ).
tff(f2969,plain,
( spl5_53
| spl5_99
| spl5_17
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f2964,f1633,f1399,f2966,f2284]) ).
tff(f2964,plain,
( ! [X9: tp__o] :
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)) )
| p(inj__o(X9)) )
| spl5_17
| ~ spl5_32 ),
inference(forward_subsumption_demodulation,[],[f2962,f1634]) ).
tff(f2962,plain,
( ! [X9: tp__o] :
( p(inj__o(X9))
| ( inj__o(X9) = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)) ) )
| spl5_17 ),
inference(resolution,[],[f1400,f1629]) ).
tff(f2943,plain,
( spl5_48
| spl5_98
| ~ spl5_27
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2938,f1646,f1518,f2940,f2262]) ).
tff(f1518,plain,
( spl5_27
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
tff(f2938,plain,
( ! [X4: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)) )
| ~ p(inj__o(X4)) )
| ~ spl5_27
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2937,f1647]) ).
tff(f2937,plain,
( ! [X4: tp__o] :
( ~ p(inj__o(X4))
| ( inj__o(X4) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)) ) )
| ~ spl5_27 ),
inference(resolution,[],[f1519,f1642]) ).
tff(f1519,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)))
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f1518]) ).
tff(f2928,plain,
( spl5_48
| spl5_97
| ~ spl5_18
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2923,f1646,f1410,f2925,f2262]) ).
tff(f2923,plain,
( ! [X3: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)) )
| ~ p(inj__o(X3)) )
| ~ spl5_18
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2920,f1647]) ).
tff(f2920,plain,
( ! [X3: tp__o] :
( ~ p(inj__o(X3))
| ( inj__o(X3) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)) ) )
| ~ spl5_18 ),
inference(resolution,[],[f1411,f1642]) ).
tff(f2912,plain,
( spl5_18
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f1424,f1310,f1410]) ).
tff(f1310,plain,
( spl5_1
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
tff(f1424,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)))
| ~ spl5_1 ),
inference(forward_demodulation,[],[f1311,f304]) ).
tff(f1311,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f1310]) ).
tff(f2911,plain,
( spl5_24
| spl5_23 ),
inference(avatar_split_clause,[],[f1486,f1481,f1488]) ).
tff(f1488,plain,
( spl5_24
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,fo__c_2Eextreal_2Eextreal__max(sK2,sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
tff(f1481,plain,
( spl5_23
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
tff(f1486,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| spl5_23 ),
inference(resolution,[],[f1483,f1393]) ).
tff(f1393,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0))) ),
inference(forward_demodulation,[],[f1391,f304]) ).
tff(f1391,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(backward_demodulation,[],[f239,f304]) ).
tff(f239,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))) ),
inference(rectify,[],[f54]) ).
tff(f54,axiom,
! [X15: tp__ty_2Eextreal_2Eextreal,X14: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X14)),inj__ty_2Eextreal_2Eextreal(X15)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X15)),inj__ty_2Eextreal_2Eextreal(X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__total) ).
tff(f1483,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK2)))
| spl5_23 ),
inference(avatar_component_clause,[],[f1481]) ).
tff(f2908,plain,
( spl5_27
| ~ spl5_18
| ~ spl5_31 ),
inference(avatar_split_clause,[],[f1986,f1615,f1410,f1518]) ).
tff(f1615,plain,
( spl5_31
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
tff(f1986,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)))
| ~ spl5_18
| ~ spl5_31 ),
inference(resolution,[],[f1411,f1641]) ).
tff(f1641,plain,
( ! [X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,sK3))) )
| ~ spl5_31 ),
inference(resolution,[],[f1617,f1396]) ).
tff(f1617,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)))
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f1615]) ).
tff(f2907,plain,
( ~ spl5_17
| spl5_3 ),
inference(avatar_split_clause,[],[f1468,f1318,f1399]) ).
tff(f1318,plain,
( spl5_3
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK3))),inj__ty_2Eextreal_2Eextreal(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
tff(f1468,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)))
| spl5_3 ),
inference(forward_demodulation,[],[f1467,f304]) ).
tff(f1467,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK2,sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| spl5_3 ),
inference(forward_demodulation,[],[f1320,f758]) ).
tff(f1320,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| spl5_3 ),
inference(avatar_component_clause,[],[f1318]) ).
tff(f2906,plain,
( ~ spl5_17
| spl5_16 ),
inference(avatar_split_clause,[],[f1423,f1387,f1399]) ).
tff(f1387,plain,
( spl5_16
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK2,sK3))),inj__ty_2Eextreal_2Eextreal(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
tff(f1423,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)))
| spl5_16 ),
inference(forward_demodulation,[],[f1388,f304]) ).
tff(f1388,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK2,sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| spl5_16 ),
inference(avatar_component_clause,[],[f1387]) ).
tff(f2905,plain,
( ~ spl5_23
| spl5_17
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f1478,f1410,f1399,f1481]) ).
tff(f1478,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK2)))
| spl5_17
| ~ spl5_18 ),
inference(resolution,[],[f1476,f1400]) ).
tff(f1476,plain,
( ! [X9: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK4)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK2))) )
| ~ spl5_18 ),
inference(resolution,[],[f1396,f1411]) ).
tff(f2904,plain,
( ~ spl5_17
| spl5_16 ),
inference(avatar_split_clause,[],[f2903,f1387,f1399]) ).
tff(f2903,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)))
| spl5_16 ),
inference(forward_demodulation,[],[f1388,f304]) ).
tff(f2902,plain,
( spl5_22
| spl5_17 ),
inference(avatar_split_clause,[],[f1446,f1399,f1450]) ).
tff(f1446,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| spl5_17 ),
inference(resolution,[],[f1393,f1400]) ).
tff(f2901,plain,
( ~ spl5_17
| spl5_3 ),
inference(avatar_split_clause,[],[f1405,f1318,f1399]) ).
tff(f1405,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)))
| spl5_3 ),
inference(forward_demodulation,[],[f1404,f304]) ).
tff(f1404,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK2,sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| spl5_3 ),
inference(forward_demodulation,[],[f1320,f758]) ).
tff(f2900,plain,
( spl5_18
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f1983,f1310,f1410]) ).
tff(f1983,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)))
| ~ spl5_1 ),
inference(forward_demodulation,[],[f1311,f304]) ).
tff(f2899,plain,
( spl5_96
| ~ spl5_9
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f2894,f1959,f1349,f2896]) ).
tff(f2896,plain,
( spl5_96
<=> ( fo__c_2Eextreal_2Eextreal__max(sK2,sK3) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_96])]) ).
tff(f1349,plain,
( spl5_9
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
tff(f1959,plain,
( spl5_40
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
tff(f2894,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK2,sK3) = sK2 )
| ~ spl5_9
| ~ spl5_40 ),
inference(forward_demodulation,[],[f2893,f241]) ).
tff(f2893,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK2,sK3) = surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(sK2)) )
| ~ spl5_9
| ~ spl5_40 ),
inference(forward_demodulation,[],[f2861,f1741]) ).
tff(f1741,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] : ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0)) = inj__ty_2Eextreal_2Eextreal(X0) )
| ~ spl5_9 ),
inference(resolution,[],[f1564,f666]) ).
tff(f1564,plain,
( ! [X3: $i,X4: tp__ty_2Eextreal_2Eextreal] :
( ~ mem(X3,ty_2Eextreal_2Eextreal)
| ( inj__ty_2Eextreal_2Eextreal(X4) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X3),inj__ty_2Eextreal_2Eextreal(X4)) ) )
| ~ spl5_9 ),
inference(resolution,[],[f1403,f666]) ).
tff(f1403,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ~ mem(X2,X0)
| ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 )
| ~ mem(X1,X0) )
| ~ spl5_9 ),
inference(backward_demodulation,[],[f679,f1351]) ).
tff(f1351,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF) )
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f1349]) ).
tff(f679,plain,
! [X2: $i,X0: del,X1: $i] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X0),inj__o(fo__c_2Ebool_2EF)),X1),X2) = X2 )
| ~ mem(X2,X0)
| ~ mem(X1,X0) ),
inference(cnf_transformation,[],[f148]) ).
tff(f2861,plain,
( ( surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK2))) = fo__c_2Eextreal_2Eextreal__max(sK2,sK3) )
| ~ spl5_40 ),
inference(superposition,[],[f1392,f1961]) ).
tff(f1961,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)) )
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f1959]) ).
tff(f2892,plain,
( spl5_95
| ~ spl5_20
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f2887,f1959,f1436,f2889]) ).
tff(f2889,plain,
( spl5_95
<=> ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(sK2,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_95])]) ).
tff(f1436,plain,
( spl5_20
<=> ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
tff(f2887,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(sK2,sK3) )
| ~ spl5_20
| ~ spl5_40 ),
inference(forward_demodulation,[],[f2876,f1438]) ).
tff(f1438,plain,
( ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) )
| ~ spl5_20 ),
inference(avatar_component_clause,[],[f1436]) ).
tff(f2876,plain,
( ( fo__c_2Eextreal_2Eextreal__le(sK2,sK3) = surj__o(c_2Ebool_2EF) )
| ~ spl5_40 ),
inference(superposition,[],[f775,f1961]) ).
tff(f2824,plain,
( spl5_94
| spl5_48
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2820,f1646,f1416,f2262,f2822]) ).
tff(f2822,plain,
( spl5_94
<=> ! [X34: tp__ty_2Eextreal_2Eextreal,X36: tp__ty_2Eextreal_2Eextreal,X35: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X36)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X34,X35)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X36,X34)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X35,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_94])]) ).
tff(f1416,plain,
( spl5_19
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
tff(f2820,plain,
( ! [X36: tp__ty_2Eextreal_2Eextreal,X37: tp__o,X34: tp__ty_2Eextreal_2Eextreal,X35: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X37))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X36)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X35,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X36,X34)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X34,X35)) ) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2778,f1647]) ).
tff(f2778,plain,
( ! [X36: tp__ty_2Eextreal_2Eextreal,X37: tp__o,X34: tp__ty_2Eextreal_2Eextreal,X35: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X37))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X35,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X36,X34)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X36)))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(X34,X35)) = inj__o(X37) ) )
| ~ spl5_19 ),
inference(resolution,[],[f2639,f1642]) ).
tff(f2639,plain,
( ! [X21: tp__ty_2Eextreal_2Eextreal,X19: tp__ty_2Eextreal_2Eextreal,X20: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X21,X20)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X20,X19)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X21)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X19,sK4))) )
| ~ spl5_19 ),
inference(resolution,[],[f2544,f1552]) ).
tff(f1552,plain,
! [X2: tp__ty_2Eextreal_2Eextreal,X3: tp__ty_2Eextreal_2Eextreal,X4: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X4,X2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X3)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X3,X4))) ),
inference(resolution,[],[f1474,f1393]) ).
tff(f1474,plain,
! [X6: tp__ty_2Eextreal_2Eextreal,X7: tp__ty_2Eextreal_2Eextreal,X5: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X5,X6)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X5,X7)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X7,X6))) ),
inference(resolution,[],[f1396,f1393]) ).
tff(f2544,plain,
( ! [X4: tp__ty_2Eextreal_2Eextreal,X5: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X4,sK3)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X5,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X4,X5))) )
| ~ spl5_19 ),
inference(resolution,[],[f2502,f1474]) ).
tff(f2502,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,sK4)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,sK3))) )
| ~ spl5_19 ),
inference(resolution,[],[f1418,f1396]) ).
tff(f1418,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)))
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f1416]) ).
tff(f2819,plain,
( spl5_93
| spl5_48
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2815,f1646,f1416,f2262,f2817]) ).
tff(f2817,plain,
( spl5_93
<=> ! [X22: tp__ty_2Eextreal_2Eextreal,X21: tp__ty_2Eextreal_2Eextreal,X23: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X22,X23)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X23,X21)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X22)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X21,sK4)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_93])]) ).
tff(f2815,plain,
( ! [X21: tp__ty_2Eextreal_2Eextreal,X24: tp__o,X22: tp__ty_2Eextreal_2Eextreal,X23: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X24))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X22,X23)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X21,sK4)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X22)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X23,X21))) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2798,f1647]) ).
tff(f2798,plain,
( ! [X21: tp__ty_2Eextreal_2Eextreal,X24: tp__o,X22: tp__ty_2Eextreal_2Eextreal,X23: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X22)))
| ( inj__o(X24) = inj__o(fo__c_2Eextreal_2Eextreal__le(X21,sK4)) )
| ~ p(inj__o(X24))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X22,X23)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X23,X21))) )
| ~ spl5_19 ),
inference(resolution,[],[f2639,f1642]) ).
tff(f2814,plain,
( spl5_48
| spl5_92
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2810,f1646,f1416,f2812,f2262]) ).
tff(f2812,plain,
( spl5_92
<=> ! [X34: tp__ty_2Eextreal_2Eextreal,X36: tp__ty_2Eextreal_2Eextreal,X35: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X35,X36)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X36,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X34)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X34,X35)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_92])]) ).
tff(f2810,plain,
( ! [X36: tp__ty_2Eextreal_2Eextreal,X37: tp__o,X34: tp__ty_2Eextreal_2Eextreal,X35: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X35,X36)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X34)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X34,X35)) )
| ~ p(inj__o(X37))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X36,sK4))) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2765,f1647]) ).
tff(f2765,plain,
( ! [X36: tp__ty_2Eextreal_2Eextreal,X37: tp__o,X34: tp__ty_2Eextreal_2Eextreal,X35: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X34)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X36,sK4)))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(X34,X35)) = inj__o(X37) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X35,X36)))
| ~ p(inj__o(X37)) )
| ~ spl5_19 ),
inference(resolution,[],[f2639,f1642]) ).
tff(f2809,plain,
( spl5_48
| spl5_91
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2805,f1646,f1416,f2807,f2262]) ).
tff(f2807,plain,
( spl5_91
<=> ! [X27: tp__ty_2Eextreal_2Eextreal,X28: tp__ty_2Eextreal_2Eextreal,X26: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X26)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X26,X27)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X27,X28)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X28,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_91])]) ).
tff(f2805,plain,
( ! [X28: tp__ty_2Eextreal_2Eextreal,X29: tp__o,X26: tp__ty_2Eextreal_2Eextreal,X27: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X26)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X27,X28)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X28,sK4)))
| ~ p(inj__o(X29))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X26,X27))) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2791,f1647]) ).
tff(f2791,plain,
( ! [X28: tp__ty_2Eextreal_2Eextreal,X29: tp__o,X26: tp__ty_2Eextreal_2Eextreal,X27: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X27,X28)))
| ( inj__o(X29) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X26)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X26,X27)))
| ~ p(inj__o(X29))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X28,sK4))) )
| ~ spl5_19 ),
inference(resolution,[],[f2639,f1642]) ).
tff(f2725,plain,
( ~ spl5_90
| spl5_45
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f2720,f2610,f2031,f2722]) ).
tff(f2722,plain,
( spl5_90
<=> ( sK3 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
tff(f2031,plain,
( spl5_45
<=> ( sK3 = fo__c_2Eextreal_2Eextreal__max(sK3,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
tff(f2610,plain,
( spl5_83
<=> ( sK4 = fo__c_2Eextreal_2Eextreal__max(sK3,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_83])]) ).
tff(f2720,plain,
( ( sK3 != sK4 )
| spl5_45
| ~ spl5_83 ),
inference(superposition,[],[f2032,f2612]) ).
tff(f2612,plain,
( ( sK4 = fo__c_2Eextreal_2Eextreal__max(sK3,sK4) )
| ~ spl5_83 ),
inference(avatar_component_clause,[],[f2610]) ).
tff(f2032,plain,
( ( sK3 != fo__c_2Eextreal_2Eextreal__max(sK3,sK4) )
| spl5_45 ),
inference(avatar_component_clause,[],[f2031]) ).
tff(f2719,plain,
( spl5_48
| spl5_89
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2715,f1646,f1416,f2717,f2262]) ).
tff(f2717,plain,
( spl5_89
<=> ! [X20: tp__ty_2Eextreal_2Eextreal,X21: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X20,X21)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X21,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X20))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_89])]) ).
tff(f2715,plain,
( ! [X21: tp__ty_2Eextreal_2Eextreal,X22: tp__o,X20: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X20,X21)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X20)))
| ~ p(inj__o(X22))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X21,sK4))) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2701,f1647]) ).
tff(f2701,plain,
( ! [X21: tp__ty_2Eextreal_2Eextreal,X22: tp__o,X20: tp__ty_2Eextreal_2Eextreal] :
( ( inj__o(X22) = inj__o(fo__c_2Eextreal_2Eextreal__le(X20,X21)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X21,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X20)))
| ~ p(inj__o(X22)) )
| ~ spl5_19 ),
inference(resolution,[],[f2565,f1642]) ).
tff(f2565,plain,
( ! [X4: tp__ty_2Eextreal_2Eextreal,X5: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X5,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X4,X5))) )
| ~ spl5_19 ),
inference(resolution,[],[f2501,f1474]) ).
tff(f2501,plain,
( ! [X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,sK4))) )
| ~ spl5_19 ),
inference(resolution,[],[f1418,f1474]) ).
tff(f2714,plain,
( spl5_88
| spl5_48
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2710,f1646,f1416,f2262,f2712]) ).
tff(f2712,plain,
( spl5_88
<=> ! [X18: tp__ty_2Eextreal_2Eextreal,X19: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X18,X19)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X18)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X19,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_88])]) ).
tff(f2710,plain,
( ! [X18: tp__ty_2Eextreal_2Eextreal,X19: tp__ty_2Eextreal_2Eextreal,X20: tp__o] :
( ~ p(inj__o(X20))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X18,X19)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X19,sK4)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X18)) ) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2689,f1647]) ).
tff(f2689,plain,
( ! [X18: tp__ty_2Eextreal_2Eextreal,X19: tp__ty_2Eextreal_2Eextreal,X20: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X19,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X18,X19)))
| ( inj__o(X20) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X18)) )
| ~ p(inj__o(X20)) )
| ~ spl5_19 ),
inference(resolution,[],[f2565,f1642]) ).
tff(f2709,plain,
( spl5_48
| spl5_87
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2705,f1646,f1416,f2707,f2262]) ).
tff(f2707,plain,
( spl5_87
<=> ! [X13: tp__ty_2Eextreal_2Eextreal,X14: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X14,X13)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X14)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X13,sK4)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
tff(f2705,plain,
( ! [X14: tp__ty_2Eextreal_2Eextreal,X15: tp__o,X13: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X14,X13)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X13,sK4)) )
| ~ p(inj__o(X15))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X14))) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2677,f1647]) ).
tff(f2677,plain,
( ! [X14: tp__ty_2Eextreal_2Eextreal,X15: tp__o,X13: tp__ty_2Eextreal_2Eextreal] :
( ( inj__o(fo__c_2Eextreal_2Eextreal__le(X13,sK4)) = inj__o(X15) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X14)))
| ~ p(inj__o(X15))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X14,X13))) )
| ~ spl5_19 ),
inference(resolution,[],[f2565,f1642]) ).
tff(f2671,plain,
( spl5_53
| spl5_86
| ~ spl5_19
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f2670,f1633,f1416,f2666,f2284]) ).
tff(f2666,plain,
( spl5_86
<=> ! [X29: tp__ty_2Eextreal_2Eextreal,X30: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X29,sK4)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X29,X30)))
| ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(X30,sK3)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
tff(f2670,plain,
( ! [X28: tp__o,X26: tp__ty_2Eextreal_2Eextreal,X27: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X26,sK4)))
| ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(X27,sK3)) )
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X26,X27)))
| p(inj__o(X28)) )
| ~ spl5_19
| ~ spl5_32 ),
inference(forward_subsumption_demodulation,[],[f2661,f1634]) ).
tff(f2661,plain,
( ! [X28: tp__o,X26: tp__ty_2Eextreal_2Eextreal,X27: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X26,X27)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X26,sK4)))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(X27,sK3)) = inj__o(X28) )
| p(inj__o(X28)) )
| ~ spl5_19 ),
inference(resolution,[],[f2545,f1629]) ).
tff(f2545,plain,
( ! [X6: tp__ty_2Eextreal_2Eextreal,X7: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X6,sK3)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X7,X6)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X7,sK4))) )
| ~ spl5_19 ),
inference(resolution,[],[f2502,f1396]) ).
tff(f2669,plain,
( spl5_86
| ~ spl5_19
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f2663,f1633,f1416,f2666]) ).
tff(f2663,plain,
( ! [X32: tp__ty_2Eextreal_2Eextreal,X33: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(X33,sK3)) )
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X32,X33)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X32,sK4))) )
| ~ spl5_19
| ~ spl5_32 ),
inference(resolution,[],[f2545,f1634]) ).
tff(f2668,plain,
( spl5_53
| spl5_86
| ~ spl5_19
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f2664,f1633,f1416,f2666,f2284]) ).
tff(f2664,plain,
( ! [X31: tp__o,X29: tp__ty_2Eextreal_2Eextreal,X30: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X29,sK4)))
| ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(X30,sK3)) )
| p(inj__o(X31))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X29,X30))) )
| ~ spl5_19
| ~ spl5_32 ),
inference(forward_subsumption_demodulation,[],[f2662,f1634]) ).
tff(f2662,plain,
( ! [X31: tp__o,X29: tp__ty_2Eextreal_2Eextreal,X30: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(X31))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X29,sK4)))
| ( inj__o(X31) = inj__o(fo__c_2Eextreal_2Eextreal__le(X30,sK3)) )
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X29,X30))) )
| ~ spl5_19 ),
inference(resolution,[],[f2545,f1629]) ).
tff(f2627,plain,
( ~ spl5_85
| spl5_44
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f2622,f2617,f2024,f2624]) ).
tff(f2624,plain,
( spl5_85
<=> ( fo__c_2Ebool_2ET = fo__c_2Ebool_2EF ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
tff(f2024,plain,
( spl5_44
<=> ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(sK3,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
tff(f2617,plain,
( spl5_84
<=> ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK3,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_84])]) ).
tff(f2622,plain,
( ( fo__c_2Ebool_2ET != fo__c_2Ebool_2EF )
| spl5_44
| ~ spl5_84 ),
inference(backward_demodulation,[],[f2025,f2619]) ).
tff(f2619,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK3,sK4) )
| ~ spl5_84 ),
inference(avatar_component_clause,[],[f2617]) ).
tff(f2025,plain,
( ( fo__c_2Ebool_2EF != fo__c_2Eextreal_2Eextreal__le(sK3,sK4) )
| spl5_44 ),
inference(avatar_component_clause,[],[f2024]) ).
tff(f2620,plain,
( spl5_84
| ~ spl5_21
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f2615,f2506,f1441,f2617]) ).
tff(f2506,plain,
( spl5_78
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_78])]) ).
tff(f2615,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Eextreal_2Eextreal__le(sK3,sK4) )
| ~ spl5_21
| ~ spl5_78 ),
inference(forward_demodulation,[],[f2595,f1443]) ).
tff(f2595,plain,
( ( surj__o(c_2Ebool_2ET) = fo__c_2Eextreal_2Eextreal__le(sK3,sK4) )
| ~ spl5_78 ),
inference(superposition,[],[f775,f2508]) ).
tff(f2508,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)) )
| ~ spl5_78 ),
inference(avatar_component_clause,[],[f2506]) ).
tff(f2613,plain,
( spl5_83
| ~ spl5_10
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f2608,f2506,f1354,f2610]) ).
tff(f2608,plain,
( ( sK4 = fo__c_2Eextreal_2Eextreal__max(sK3,sK4) )
| ~ spl5_10
| ~ spl5_78 ),
inference(forward_demodulation,[],[f2607,f241]) ).
tff(f2607,plain,
( ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(sK4)) = fo__c_2Eextreal_2Eextreal__max(sK3,sK4) )
| ~ spl5_10
| ~ spl5_78 ),
inference(forward_demodulation,[],[f2584,f1753]) ).
tff(f2584,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK3,sK4) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),inj__ty_2Eextreal_2Eextreal(sK4)),inj__ty_2Eextreal_2Eextreal(sK3))) )
| ~ spl5_78 ),
inference(superposition,[],[f1392,f2508]) ).
tff(f2577,plain,
( spl5_48
| spl5_82
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2573,f1646,f1416,f2575,f2262]) ).
tff(f2575,plain,
( spl5_82
<=> ! [X5: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X5)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X5,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_82])]) ).
tff(f2573,plain,
( ! [X6: tp__o,X5: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X5)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X5,sK4)))
| ~ p(inj__o(X6)) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2561,f1647]) ).
tff(f2561,plain,
( ! [X6: tp__o,X5: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X5,sK4)))
| ~ p(inj__o(X6))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X5)) = inj__o(X6) ) )
| ~ spl5_19 ),
inference(resolution,[],[f2501,f1642]) ).
tff(f2572,plain,
( spl5_48
| spl5_81
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2568,f1646,f1416,f2570,f2262]) ).
tff(f2570,plain,
( spl5_81
<=> ! [X8: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X8)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X8,sK4)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_81])]) ).
tff(f2568,plain,
( ! [X8: tp__ty_2Eextreal_2Eextreal,X9: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X8)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X8,sK4)) )
| ~ p(inj__o(X9)) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2567,f1647]) ).
tff(f2567,plain,
( ! [X8: tp__ty_2Eextreal_2Eextreal,X9: tp__o] :
( ~ p(inj__o(X9))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,X8)))
| ( inj__o(X9) = inj__o(fo__c_2Eextreal_2Eextreal__le(X8,sK4)) ) )
| ~ spl5_19 ),
inference(resolution,[],[f2501,f1642]) ).
tff(f2551,plain,
( spl5_80
| spl5_48
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2547,f1646,f1416,f2262,f2549]) ).
tff(f2549,plain,
( spl5_80
<=> ! [X8: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X8,sK4)) )
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X8,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_80])]) ).
tff(f2547,plain,
( ! [X8: tp__ty_2Eextreal_2Eextreal,X9: tp__o] :
( ~ p(inj__o(X9))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X8,sK4)) )
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X8,sK3))) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2546,f1647]) ).
tff(f2546,plain,
( ! [X8: tp__ty_2Eextreal_2Eextreal,X9: tp__o] :
( ( inj__o(X9) = inj__o(fo__c_2Eextreal_2Eextreal__le(X8,sK4)) )
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X8,sK3)))
| ~ p(inj__o(X9)) )
| ~ spl5_19 ),
inference(resolution,[],[f2502,f1642]) ).
tff(f2536,plain,
( spl5_79
| spl5_31
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f2525,f1633,f1615,f2528]) ).
tff(f2528,plain,
( spl5_79
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_79])]) ).
tff(f2525,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)) )
| spl5_31
| ~ spl5_32 ),
inference(resolution,[],[f1616,f1634]) ).
tff(f1616,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)))
| spl5_31 ),
inference(avatar_component_clause,[],[f1615]) ).
tff(f2533,plain,
( spl5_79
| spl5_53
| spl5_31
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f2532,f1633,f1615,f2284,f2528]) ).
tff(f2532,plain,
( ! [X4: tp__o] :
( p(inj__o(X4))
| ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)) ) )
| spl5_31
| ~ spl5_32 ),
inference(forward_subsumption_demodulation,[],[f2523,f1634]) ).
tff(f2523,plain,
( ! [X4: tp__o] :
( ( inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)) = inj__o(X4) )
| p(inj__o(X4)) )
| spl5_31 ),
inference(resolution,[],[f1616,f1629]) ).
tff(f2531,plain,
( spl5_79
| spl5_53
| spl5_31
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f2526,f1633,f1615,f2284,f2528]) ).
tff(f2526,plain,
( ! [X5: tp__o] :
( p(inj__o(X5))
| ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)) ) )
| spl5_31
| ~ spl5_32 ),
inference(forward_subsumption_demodulation,[],[f2524,f1634]) ).
tff(f2524,plain,
( ! [X5: tp__o] :
( ( inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)) = inj__o(X5) )
| p(inj__o(X5)) )
| spl5_31 ),
inference(resolution,[],[f1616,f1629]) ).
tff(f2509,plain,
( spl5_48
| spl5_78
| ~ spl5_19
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2504,f1646,f1416,f2506,f2262]) ).
tff(f2504,plain,
( ! [X3: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)) )
| ~ p(inj__o(X3)) )
| ~ spl5_19
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2503,f1647]) ).
tff(f2503,plain,
( ! [X3: tp__o] :
( ~ p(inj__o(X3))
| ( inj__o(X3) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)) ) )
| ~ spl5_19 ),
inference(resolution,[],[f1418,f1642]) ).
tff(f2491,plain,
( ~ spl5_77
| spl5_47
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f2485,f2310,f2115,f2488]) ).
tff(f2488,plain,
( spl5_77
<=> ( c_2Ebool_2ET = c_2Ebool_2EF ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_77])]) ).
tff(f2115,plain,
( spl5_47
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
tff(f2310,plain,
( spl5_58
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_58])]) ).
tff(f2485,plain,
( ( c_2Ebool_2ET != c_2Ebool_2EF )
| spl5_47
| ~ spl5_58 ),
inference(backward_demodulation,[],[f2116,f2312]) ).
tff(f2312,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2)) )
| ~ spl5_58 ),
inference(avatar_component_clause,[],[f2310]) ).
tff(f2116,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2)) )
| spl5_47 ),
inference(avatar_component_clause,[],[f2115]) ).
tff(f2480,plain,
( spl5_19
| spl5_31 ),
inference(avatar_split_clause,[],[f1636,f1615,f1416]) ).
tff(f1636,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)))
| spl5_31 ),
inference(resolution,[],[f1616,f1393]) ).
tff(f2479,plain,
( ~ spl5_11
| ~ spl5_10
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f2463,f2262,f1354,f1361]) ).
tff(f1361,plain,
( spl5_11
<=> p(c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
tff(f2463,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl5_10
| ~ spl5_48 ),
inference(superposition,[],[f2263,f1356]) ).
tff(f2263,plain,
( ! [X52: tp__o] : ~ p(inj__o(X52))
| ~ spl5_48 ),
inference(avatar_component_clause,[],[f2262]) ).
tff(f2478,plain,
( spl5_53
| spl5_76
| ~ spl5_32
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f2477,f2262,f1633,f2473,f2284]) ).
tff(f2473,plain,
( spl5_76
<=> ! [X40: tp__o] : ( c_2Ebool_2EF = inj__o(X40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_76])]) ).
tff(f2477,plain,
( ! [X38: tp__o,X39: tp__o] :
( ( c_2Ebool_2EF = inj__o(X38) )
| p(inj__o(X39)) )
| ~ spl5_32
| ~ spl5_48 ),
inference(forward_subsumption_demodulation,[],[f2459,f1634]) ).
tff(f2459,plain,
( ! [X38: tp__o,X39: tp__o] :
( ( inj__o(X38) = inj__o(X39) )
| p(inj__o(X39)) )
| ~ spl5_48 ),
inference(resolution,[],[f2263,f1629]) ).
tff(f2476,plain,
( spl5_76
| ~ spl5_32
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f2461,f2262,f1633,f2473]) ).
tff(f2461,plain,
( ! [X42: tp__o] : ( c_2Ebool_2EF = inj__o(X42) )
| ~ spl5_32
| ~ spl5_48 ),
inference(resolution,[],[f2263,f1634]) ).
tff(f2475,plain,
( spl5_53
| spl5_76
| ~ spl5_32
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f2471,f2262,f1633,f2473,f2284]) ).
tff(f2471,plain,
( ! [X40: tp__o,X41: tp__o] :
( ( c_2Ebool_2EF = inj__o(X40) )
| p(inj__o(X41)) )
| ~ spl5_32
| ~ spl5_48 ),
inference(forward_subsumption_demodulation,[],[f2460,f1634]) ).
tff(f2460,plain,
( ! [X40: tp__o,X41: tp__o] :
( p(inj__o(X41))
| ( inj__o(X41) = inj__o(X40) ) )
| ~ spl5_48 ),
inference(resolution,[],[f2263,f1629]) ).
tff(f2470,plain,
~ spl5_48,
inference(avatar_contradiction_clause,[],[f2431]) ).
tff(f2431,plain,
( $false
| ~ spl5_48 ),
inference(resolution,[],[f2263,f1448]) ).
tff(f1448,plain,
! [X0: tp__ty_2Eextreal_2Eextreal] : p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X0))),
inference(factoring,[],[f1393]) ).
tff(f2469,plain,
( ~ spl5_46
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2451]) ).
tff(f2451,plain,
( $false
| ~ spl5_46
| ~ spl5_48 ),
inference(resolution,[],[f2263,f2054]) ).
tff(f2054,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2)))
| ~ spl5_46 ),
inference(avatar_component_clause,[],[f2052]) ).
tff(f2052,plain,
( spl5_46
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
tff(f2468,plain,
( ~ spl5_31
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2456]) ).
tff(f2456,plain,
( $false
| ~ spl5_31
| ~ spl5_48 ),
inference(resolution,[],[f2263,f1617]) ).
tff(f2467,plain,
( ~ spl5_25
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2455]) ).
tff(f2455,plain,
( $false
| ~ spl5_25
| ~ spl5_48 ),
inference(resolution,[],[f2263,f1497]) ).
tff(f1497,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK3)))
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f1496]) ).
tff(f1496,plain,
( spl5_25
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
tff(f2466,plain,
( ~ spl5_17
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2457]) ).
tff(f2457,plain,
( $false
| ~ spl5_17
| ~ spl5_48 ),
inference(resolution,[],[f2263,f1401]) ).
tff(f1401,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)))
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f1399]) ).
tff(f2465,plain,
( ~ spl5_30
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2452]) ).
tff(f2452,plain,
( $false
| ~ spl5_30
| ~ spl5_48 ),
inference(resolution,[],[f2263,f1612]) ).
tff(f1612,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK2)))
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f1610]) ).
tff(f1610,plain,
( spl5_30
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
tff(f2464,plain,
( ~ spl5_23
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2450]) ).
tff(f2450,plain,
( $false
| ~ spl5_23
| ~ spl5_48 ),
inference(resolution,[],[f2263,f1482]) ).
tff(f1482,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK2)))
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f1481]) ).
tff(f2413,plain,
( spl5_48
| spl5_72
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2412,f1646,f2389,f2262]) ).
tff(f2389,plain,
( spl5_72
<=> ! [X22: tp__ty_2Eextreal_2Eextreal,X21: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X21,X22)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X22,X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_72])]) ).
tff(f2412,plain,
( ! [X26: tp__o,X24: tp__ty_2Eextreal_2Eextreal,X25: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X24,X25)) )
| ~ p(inj__o(X26))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X25,X24))) )
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2237,f1647]) ).
tff(f2237,plain,
! [X26: tp__o,X24: tp__ty_2Eextreal_2Eextreal,X25: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X26))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(X24,X25)) = inj__o(X26) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X25,X24))) ),
inference(resolution,[],[f1642,f1393]) ).
tff(f2411,plain,
( spl5_48
| spl5_53
| spl5_52
| ~ spl5_32
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2410,f1646,f1633,f2281,f2284,f2262]) ).
tff(f2281,plain,
( spl5_52
<=> ! [X70: tp__o] :
( ( c_2Ebool_2EF = inj__o(X70) )
| ( c_2Ebool_2ET = inj__o(X70) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
tff(f2410,plain,
( ! [X68: tp__o,X69: tp__o,X67: tp__o] :
( ( c_2Ebool_2EF = inj__o(X67) )
| p(inj__o(X69))
| ~ p(inj__o(X68))
| ( c_2Ebool_2ET = inj__o(X67) ) )
| ~ spl5_32
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2409,f1647]) ).
tff(f2409,plain,
( ! [X68: tp__o,X69: tp__o,X67: tp__o] :
( ~ p(inj__o(X68))
| p(inj__o(X69))
| ( c_2Ebool_2EF = inj__o(X67) )
| ( inj__o(X67) = inj__o(X68) ) )
| ~ spl5_32 ),
inference(forward_subsumption_demodulation,[],[f2255,f1634]) ).
tff(f2255,plain,
! [X68: tp__o,X69: tp__o,X67: tp__o] :
( p(inj__o(X69))
| ~ p(inj__o(X68))
| ( inj__o(X67) = inj__o(X68) )
| ( inj__o(X67) = inj__o(X69) ) ),
inference(resolution,[],[f1642,f1629]) ).
tff(f2408,plain,
( spl5_75
| spl5_48
| ~ spl5_25
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2404,f1646,f1496,f2262,f2406]) ).
tff(f2406,plain,
( spl5_75
<=> ! [X5: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X5,sK3)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X5)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_75])]) ).
tff(f2404,plain,
( ! [X6: tp__o,X5: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X6))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X5,sK3)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X5)) ) )
| ~ spl5_25
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2229,f1647]) ).
tff(f2229,plain,
( ! [X6: tp__o,X5: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X6))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X5,sK3)))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X5)) = inj__o(X6) ) )
| ~ spl5_25 ),
inference(resolution,[],[f1642,f1556]) ).
tff(f1556,plain,
( ! [X10: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X10)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X10,sK3))) )
| ~ spl5_25 ),
inference(resolution,[],[f1474,f1497]) ).
tff(f2403,plain,
( spl5_48
| spl5_60
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2402,f1646,f2322,f2262]) ).
tff(f2322,plain,
( spl5_60
<=> ! [X27: tp__ty_2Eextreal_2Eextreal,X28: tp__ty_2Eextreal_2Eextreal,X30: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X30,X27)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X28,X30)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X27,X28)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_60])]) ).
tff(f2402,plain,
( ! [X31: tp__ty_2Eextreal_2Eextreal,X34: tp__ty_2Eextreal_2Eextreal,X32: tp__ty_2Eextreal_2Eextreal,X33: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X31,X32)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X34,X31)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X32,X34)))
| ~ p(inj__o(X33)) )
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2239,f1647]) ).
tff(f2239,plain,
! [X31: tp__ty_2Eextreal_2Eextreal,X34: tp__ty_2Eextreal_2Eextreal,X32: tp__ty_2Eextreal_2Eextreal,X33: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X32,X34)))
| ~ p(inj__o(X33))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X34,X31)))
| ( inj__o(X33) = inj__o(fo__c_2Eextreal_2Eextreal__le(X31,X32)) ) ),
inference(resolution,[],[f1642,f1552]) ).
tff(f2401,plain,
( spl5_48
| spl5_74
| ~ spl5_31
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2397,f1646,f1615,f2399,f2262]) ).
tff(f2399,plain,
( spl5_74
<=> ! [X45: tp__ty_2Eextreal_2Eextreal,X46: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X45)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X46,sK3)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X45,X46)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_74])]) ).
tff(f2397,plain,
( ! [X46: tp__ty_2Eextreal_2Eextreal,X47: tp__o,X45: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X45)))
| ~ p(inj__o(X47))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X45,X46)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X46,sK3))) )
| ~ spl5_31
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2243,f1647]) ).
tff(f2243,plain,
( ! [X46: tp__ty_2Eextreal_2Eextreal,X47: tp__o,X45: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X47))
| ( inj__o(X47) = inj__o(fo__c_2Eextreal_2Eextreal__le(X45,X46)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X46,sK3)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X45))) )
| ~ spl5_31 ),
inference(resolution,[],[f1642,f1662]) ).
tff(f1662,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X1)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,sK3))) )
| ~ spl5_31 ),
inference(resolution,[],[f1640,f1474]) ).
tff(f1640,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK3)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X0))) )
| ~ spl5_31 ),
inference(resolution,[],[f1617,f1474]) ).
tff(f2396,plain,
( spl5_48
| spl5_73
| ~ spl5_23
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2392,f1646,f1481,f2394,f2262]) ).
tff(f2394,plain,
( spl5_73
<=> ! [X7: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X7,sK2)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X7)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_73])]) ).
tff(f2392,plain,
( ! [X8: tp__o,X7: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X7,sK2)))
| ~ p(inj__o(X8))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X7)) ) )
| ~ spl5_23
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2230,f1647]) ).
tff(f2230,plain,
( ! [X8: tp__o,X7: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X8))
| ( inj__o(X8) = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X7)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X7,sK2))) )
| ~ spl5_23 ),
inference(resolution,[],[f1642,f1555]) ).
tff(f1555,plain,
( ! [X9: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X9)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK2))) )
| ~ spl5_23 ),
inference(resolution,[],[f1474,f1482]) ).
tff(f2391,plain,
( spl5_48
| spl5_72
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2387,f1646,f2389,f2262]) ).
tff(f2387,plain,
( ! [X21: tp__ty_2Eextreal_2Eextreal,X22: tp__ty_2Eextreal_2Eextreal,X23: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X21,X22)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X22,X21)))
| ~ p(inj__o(X23)) )
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2236,f1647]) ).
tff(f2236,plain,
! [X21: tp__ty_2Eextreal_2Eextreal,X22: tp__ty_2Eextreal_2Eextreal,X23: tp__o] :
( ~ p(inj__o(X23))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(X21,X22)) = inj__o(X23) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X22,X21))) ),
inference(resolution,[],[f1642,f1393]) ).
tff(f2386,plain,
( spl5_71
| spl5_48
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2382,f1646,f2262,f2384]) ).
tff(f2384,plain,
( spl5_71
<=> ! [X0: tp__ty_2Eextreal_2Eextreal] : ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_71])]) ).
tff(f2382,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( ~ p(inj__o(X1))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X0)) ) )
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2227,f1647]) ).
tff(f2227,plain,
! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__o] :
( ( inj__o(X1) = inj__o(fo__c_2Eextreal_2Eextreal__le(X0,X0)) )
| ~ p(inj__o(X1)) ),
inference(resolution,[],[f1642,f1448]) ).
tff(f2381,plain,
( spl5_48
| spl5_70
| ~ spl5_30
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2376,f1646,f1610,f2378,f2262]) ).
tff(f2378,plain,
( spl5_70
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_70])]) ).
tff(f2376,plain,
( ! [X55: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK2)) )
| ~ p(inj__o(X55)) )
| ~ spl5_30
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2248,f1647]) ).
tff(f2248,plain,
( ! [X55: tp__o] :
( ~ p(inj__o(X55))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK2)) = inj__o(X55) ) )
| ~ spl5_30 ),
inference(resolution,[],[f1642,f1612]) ).
tff(f2375,plain,
( spl5_48
| spl5_69
| ~ spl5_25
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2370,f1646,f1496,f2372,f2262]) ).
tff(f2372,plain,
( spl5_69
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_69])]) ).
tff(f2370,plain,
( ! [X61: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK3)) )
| ~ p(inj__o(X61)) )
| ~ spl5_25
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2251,f1647]) ).
tff(f2251,plain,
( ! [X61: tp__o] :
( ( inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK3)) = inj__o(X61) )
| ~ p(inj__o(X61)) )
| ~ spl5_25 ),
inference(resolution,[],[f1642,f1497]) ).
tff(f2369,plain,
( spl5_48
| spl5_68
| ~ spl5_31
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2364,f1646,f1615,f2366,f2262]) ).
tff(f2366,plain,
( spl5_68
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_68])]) ).
tff(f2364,plain,
( ! [X62: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)) )
| ~ p(inj__o(X62)) )
| ~ spl5_31
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2252,f1647]) ).
tff(f2252,plain,
( ! [X62: tp__o] :
( ( inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)) = inj__o(X62) )
| ~ p(inj__o(X62)) )
| ~ spl5_31 ),
inference(resolution,[],[f1642,f1617]) ).
tff(f2363,plain,
( spl5_48
| spl5_67
| ~ spl5_31
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2359,f1646,f1615,f2361,f2262]) ).
tff(f2361,plain,
( spl5_67
<=> ! [X17: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X17,sK3)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X17)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_67])]) ).
tff(f2359,plain,
( ! [X18: tp__o,X17: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X17,sK3)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X17)) )
| ~ p(inj__o(X18)) )
| ~ spl5_31
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2234,f1647]) ).
tff(f2234,plain,
( ! [X18: tp__o,X17: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X17,sK3)))
| ~ p(inj__o(X18))
| ( inj__o(X18) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X17)) ) )
| ~ spl5_31 ),
inference(resolution,[],[f1642,f1640]) ).
tff(f2358,plain,
( spl5_66
| spl5_48
| ~ spl5_31
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2354,f1646,f1615,f2262,f2356]) ).
tff(f2356,plain,
( spl5_66
<=> ! [X59: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X59,sK3)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X59))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_66])]) ).
tff(f2354,plain,
( ! [X59: tp__ty_2Eextreal_2Eextreal,X60: tp__o] :
( ~ p(inj__o(X60))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X59,sK3)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X59))) )
| ~ spl5_31
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2250,f1647]) ).
tff(f2250,plain,
( ! [X59: tp__ty_2Eextreal_2Eextreal,X60: tp__o] :
( ( inj__o(fo__c_2Eextreal_2Eextreal__le(X59,sK3)) = inj__o(X60) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X59)))
| ~ p(inj__o(X60)) )
| ~ spl5_31 ),
inference(resolution,[],[f1642,f1640]) ).
tff(f2353,plain,
( spl5_48
| spl5_52
| ~ spl5_32
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2352,f1646,f1633,f2281,f2262]) ).
tff(f2352,plain,
( ! [X73: tp__o,X74: tp__o] :
( ( c_2Ebool_2EF = inj__o(X73) )
| ( c_2Ebool_2ET = inj__o(X73) )
| ~ p(inj__o(X74)) )
| ~ spl5_32
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2257,f1647]) ).
tff(f2257,plain,
( ! [X73: tp__o,X74: tp__o] :
( ( inj__o(X74) = inj__o(X73) )
| ~ p(inj__o(X74))
| ( c_2Ebool_2EF = inj__o(X73) ) )
| ~ spl5_32 ),
inference(resolution,[],[f1642,f1634]) ).
tff(f2351,plain,
( spl5_65
| spl5_48
| ~ spl5_17
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2347,f1646,f1399,f2262,f2349]) ).
tff(f2349,plain,
( spl5_65
<=> ! [X39: tp__ty_2Eextreal_2Eextreal,X40: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X39,X40)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X40,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X39))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_65])]) ).
tff(f2347,plain,
( ! [X40: tp__ty_2Eextreal_2Eextreal,X41: tp__o,X39: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X41))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X39,X40)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X39)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X40,sK4))) )
| ~ spl5_17
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2241,f1647]) ).
tff(f2241,plain,
( ! [X40: tp__ty_2Eextreal_2Eextreal,X41: tp__o,X39: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X41))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(X39,X40)) = inj__o(X41) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X39)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X40,sK4))) )
| ~ spl5_17 ),
inference(resolution,[],[f1642,f1598]) ).
tff(f1598,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X1))) )
| ~ spl5_17 ),
inference(resolution,[],[f1525,f1474]) ).
tff(f1525,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK4))) )
| ~ spl5_17 ),
inference(resolution,[],[f1522,f1393]) ).
tff(f1522,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK4))) )
| ~ spl5_17 ),
inference(resolution,[],[f1401,f1396]) ).
tff(f2346,plain,
( spl5_48
| spl5_64
| ~ spl5_31
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2342,f1646,f1615,f2344,f2262]) ).
tff(f2344,plain,
( spl5_64
<=> ! [X56: tp__ty_2Eextreal_2Eextreal,X58: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X58,X56)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X56,sK3)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X58))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_64])]) ).
tff(f2342,plain,
( ! [X58: tp__ty_2Eextreal_2Eextreal,X56: tp__ty_2Eextreal_2Eextreal,X57: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X58,X56)))
| ~ p(inj__o(X57))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X58)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X56,sK3)) ) )
| ~ spl5_31
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2249,f1647]) ).
tff(f2249,plain,
( ! [X58: tp__ty_2Eextreal_2Eextreal,X56: tp__ty_2Eextreal_2Eextreal,X57: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X58,X56)))
| ( inj__o(X57) = inj__o(fo__c_2Eextreal_2Eextreal__le(X56,sK3)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X58)))
| ~ p(inj__o(X57)) )
| ~ spl5_31 ),
inference(resolution,[],[f1642,f1662]) ).
tff(f2341,plain,
( spl5_48
| spl5_60
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2340,f1646,f2322,f2262]) ).
tff(f2340,plain,
( ! [X38: tp__ty_2Eextreal_2Eextreal,X36: tp__ty_2Eextreal_2Eextreal,X37: tp__o,X35: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X36,X38)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X38,X35)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X35,X36)) )
| ~ p(inj__o(X37)) )
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2240,f1647]) ).
tff(f2240,plain,
! [X38: tp__ty_2Eextreal_2Eextreal,X36: tp__ty_2Eextreal_2Eextreal,X37: tp__o,X35: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X36,X38)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X38,X35)))
| ( inj__o(X37) = inj__o(fo__c_2Eextreal_2Eextreal__le(X35,X36)) )
| ~ p(inj__o(X37)) ),
inference(resolution,[],[f1642,f1552]) ).
tff(f2339,plain,
( spl5_48
| spl5_63
| ~ spl5_30
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2335,f1646,f1610,f2337,f2262]) ).
tff(f2337,plain,
( spl5_63
<=> ! [X16: tp__ty_2Eextreal_2Eextreal,X14: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X14,X16)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X14)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X16,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_63])]) ).
tff(f2335,plain,
( ! [X16: tp__ty_2Eextreal_2Eextreal,X14: tp__ty_2Eextreal_2Eextreal,X15: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X14,X16)))
| ~ p(inj__o(X15))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X16,sK2)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X14)) ) )
| ~ spl5_30
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2233,f1647]) ).
tff(f2233,plain,
( ! [X16: tp__ty_2Eextreal_2Eextreal,X14: tp__ty_2Eextreal_2Eextreal,X15: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X14,X16)))
| ~ p(inj__o(X15))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X16,sK2)))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X14)) = inj__o(X15) ) )
| ~ spl5_30 ),
inference(resolution,[],[f1642,f1652]) ).
tff(f1652,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,X0)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X1))) )
| ~ spl5_30 ),
inference(resolution,[],[f1623,f1474]) ).
tff(f1623,plain,
( ! [X0: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X0,sK2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X0))) )
| ~ spl5_30 ),
inference(resolution,[],[f1612,f1474]) ).
tff(f2334,plain,
( spl5_48
| spl5_62
| ~ spl5_30
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2330,f1646,f1610,f2332,f2262]) ).
tff(f2332,plain,
( spl5_62
<=> ! [X50: tp__ty_2Eextreal_2Eextreal,X48: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X48,sK2)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X50)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X50,X48))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_62])]) ).
tff(f2330,plain,
( ! [X50: tp__ty_2Eextreal_2Eextreal,X48: tp__ty_2Eextreal_2Eextreal,X49: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X48,sK2)) )
| ~ p(inj__o(X49))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X50)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X50,X48))) )
| ~ spl5_30
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2244,f1647]) ).
tff(f2244,plain,
( ! [X50: tp__ty_2Eextreal_2Eextreal,X48: tp__ty_2Eextreal_2Eextreal,X49: tp__o] :
( ( inj__o(fo__c_2Eextreal_2Eextreal__le(X48,sK2)) = inj__o(X49) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X50,X48)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X50)))
| ~ p(inj__o(X49)) )
| ~ spl5_30 ),
inference(resolution,[],[f1642,f1652]) ).
tff(f2329,plain,
( spl5_48
| spl5_61
| ~ spl5_30
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2325,f1646,f1610,f2327,f2262]) ).
tff(f2327,plain,
( spl5_61
<=> ! [X43: tp__ty_2Eextreal_2Eextreal,X42: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X42,X43)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X42)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X43,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_61])]) ).
tff(f2325,plain,
( ! [X44: tp__o,X42: tp__ty_2Eextreal_2Eextreal,X43: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X42,X43)) )
| ~ p(inj__o(X44))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X43,sK2)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X42))) )
| ~ spl5_30
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2242,f1647]) ).
tff(f2242,plain,
( ! [X44: tp__o,X42: tp__ty_2Eextreal_2Eextreal,X43: tp__ty_2Eextreal_2Eextreal] :
( ( inj__o(X44) = inj__o(fo__c_2Eextreal_2Eextreal__le(X42,X43)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X42)))
| ~ p(inj__o(X44))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X43,sK2))) )
| ~ spl5_30 ),
inference(resolution,[],[f1642,f1652]) ).
tff(f2324,plain,
( spl5_48
| spl5_60
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2320,f1646,f2322,f2262]) ).
tff(f2320,plain,
( ! [X28: tp__ty_2Eextreal_2Eextreal,X29: tp__o,X27: tp__ty_2Eextreal_2Eextreal,X30: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X30,X27)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X27,X28)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X28,X30)))
| ~ p(inj__o(X29)) )
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2238,f1647]) ).
tff(f2238,plain,
! [X28: tp__ty_2Eextreal_2Eextreal,X29: tp__o,X27: tp__ty_2Eextreal_2Eextreal,X30: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X30,X27)))
| ( inj__o(X29) = inj__o(fo__c_2Eextreal_2Eextreal__le(X27,X28)) )
| ~ p(inj__o(X29))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X28,X30))) ),
inference(resolution,[],[f1642,f1552]) ).
tff(f2319,plain,
( spl5_59
| spl5_48
| ~ spl5_17
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2314,f1646,f1399,f2262,f2316]) ).
tff(f2316,plain,
( spl5_59
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_59])]) ).
tff(f2314,plain,
( ! [X63: tp__o] :
( ~ p(inj__o(X63))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)) ) )
| ~ spl5_17
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2253,f1647]) ).
tff(f2253,plain,
( ! [X63: tp__o] :
( ( inj__o(X63) = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)) )
| ~ p(inj__o(X63)) )
| ~ spl5_17 ),
inference(resolution,[],[f1642,f1401]) ).
tff(f2313,plain,
( spl5_58
| spl5_48
| ~ spl5_33
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f2308,f2052,f1646,f2262,f2310]) ).
tff(f2308,plain,
( ! [X54: tp__o] :
( ~ p(inj__o(X54))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2)) ) )
| ~ spl5_33
| ~ spl5_46 ),
inference(forward_subsumption_demodulation,[],[f2247,f1647]) ).
tff(f2247,plain,
( ! [X54: tp__o] :
( ( inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2)) = inj__o(X54) )
| ~ p(inj__o(X54)) )
| ~ spl5_46 ),
inference(resolution,[],[f1642,f2054]) ).
tff(f2307,plain,
( spl5_48
| spl5_57
| ~ spl5_17
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2303,f1646,f1399,f2305,f2262]) ).
tff(f2305,plain,
( spl5_57
<=> ! [X9: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK4)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X9)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
tff(f2303,plain,
( ! [X10: tp__o,X9: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK4)))
| ~ p(inj__o(X10))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X9)) ) )
| ~ spl5_17
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2231,f1647]) ).
tff(f2231,plain,
( ! [X10: tp__o,X9: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X10))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X9,sK4)))
| ( inj__o(X10) = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X9)) ) )
| ~ spl5_17 ),
inference(resolution,[],[f1642,f1525]) ).
tff(f2302,plain,
( spl5_48
| spl5_56
| ~ spl5_17
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2298,f1646,f1399,f2300,f2262]) ).
tff(f2300,plain,
( spl5_56
<=> ! [X2: tp__ty_2Eextreal_2Eextreal,X4: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X2)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X4,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_56])]) ).
tff(f2298,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X4: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X2)) )
| ~ p(inj__o(X3))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X4,sK4))) )
| ~ spl5_17
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2228,f1647]) ).
tff(f2228,plain,
( ! [X2: tp__ty_2Eextreal_2Eextreal,X3: tp__o,X4: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X2,X4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X4,sK4)))
| ( inj__o(X3) = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X2)) )
| ~ p(inj__o(X3)) )
| ~ spl5_17 ),
inference(resolution,[],[f1642,f1598]) ).
tff(f2297,plain,
( spl5_48
| spl5_55
| ~ spl5_23
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2292,f1646,f1481,f2294,f2262]) ).
tff(f2294,plain,
( spl5_55
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_55])]) ).
tff(f2292,plain,
( ! [X53: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK2)) )
| ~ p(inj__o(X53)) )
| ~ spl5_23
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2246,f1647]) ).
tff(f2246,plain,
( ! [X53: tp__o] :
( ( inj__o(X53) = inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK2)) )
| ~ p(inj__o(X53)) )
| ~ spl5_23 ),
inference(resolution,[],[f1642,f1482]) ).
tff(f2291,plain,
( spl5_48
| spl5_54
| ~ spl5_30
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2287,f1646,f1610,f2289,f2262]) ).
tff(f2289,plain,
( spl5_54
<=> ! [X19: tp__ty_2Eextreal_2Eextreal] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X19)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X19,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_54])]) ).
tff(f2287,plain,
( ! [X19: tp__ty_2Eextreal_2Eextreal,X20: tp__o] :
( ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X19)) )
| ~ p(inj__o(X20))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X19,sK2))) )
| ~ spl5_30
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2235,f1647]) ).
tff(f2235,plain,
( ! [X19: tp__ty_2Eextreal_2Eextreal,X20: tp__o] :
( ( inj__o(X20) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X19)) )
| ~ p(inj__o(X20))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X19,sK2))) )
| ~ spl5_30 ),
inference(resolution,[],[f1642,f1623]) ).
tff(f2286,plain,
( spl5_48
| spl5_52
| spl5_53
| ~ spl5_32
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2279,f1646,f1633,f2284,f2281,f2262]) ).
tff(f2279,plain,
( ! [X72: tp__o,X70: tp__o,X71: tp__o] :
( p(inj__o(X72))
| ( c_2Ebool_2EF = inj__o(X70) )
| ( c_2Ebool_2ET = inj__o(X70) )
| ~ p(inj__o(X71)) )
| ~ spl5_32
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2278,f1647]) ).
tff(f2278,plain,
( ! [X72: tp__o,X70: tp__o,X71: tp__o] :
( ~ p(inj__o(X71))
| ( inj__o(X70) = inj__o(X71) )
| p(inj__o(X72))
| ( c_2Ebool_2EF = inj__o(X70) ) )
| ~ spl5_32 ),
inference(forward_subsumption_demodulation,[],[f2256,f1634]) ).
tff(f2256,plain,
! [X72: tp__o,X70: tp__o,X71: tp__o] :
( ( inj__o(X70) = inj__o(X71) )
| p(inj__o(X72))
| ( inj__o(X72) = inj__o(X70) )
| ~ p(inj__o(X71)) ),
inference(resolution,[],[f1642,f1629]) ).
tff(f2277,plain,
( spl5_48
| spl5_51
| ~ spl5_17
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2273,f1646,f1399,f2275,f2262]) ).
tff(f2275,plain,
( spl5_51
<=> ! [X66: tp__ty_2Eextreal_2Eextreal,X64: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X66,X64)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X66)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X64,sK4)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
tff(f2273,plain,
( ! [X65: tp__o,X66: tp__ty_2Eextreal_2Eextreal,X64: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X66,X64)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X64,sK4)) )
| ~ p(inj__o(X65))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X66))) )
| ~ spl5_17
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2254,f1647]) ).
tff(f2254,plain,
( ! [X65: tp__o,X66: tp__ty_2Eextreal_2Eextreal,X64: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(X65))
| ( inj__o(X65) = inj__o(fo__c_2Eextreal_2Eextreal__le(X64,sK4)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X66,X64)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),X66))) )
| ~ spl5_17 ),
inference(resolution,[],[f1642,f1598]) ).
tff(f2272,plain,
( spl5_48
| spl5_50
| ~ spl5_31
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2268,f1646,f1615,f2270,f2262]) ).
tff(f2270,plain,
( spl5_50
<=> ! [X13: tp__ty_2Eextreal_2Eextreal,X11: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X13,sK3)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X11)) )
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X11,X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
tff(f2268,plain,
( ! [X11: tp__ty_2Eextreal_2Eextreal,X12: tp__o,X13: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X13,sK3)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X11,X13)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X11)) )
| ~ p(inj__o(X12)) )
| ~ spl5_31
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2232,f1647]) ).
tff(f2232,plain,
( ! [X11: tp__ty_2Eextreal_2Eextreal,X12: tp__o,X13: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X13,sK3)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X11,X13)))
| ( inj__o(X12) = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X11)) )
| ~ p(inj__o(X12)) )
| ~ spl5_31 ),
inference(resolution,[],[f1642,f1662]) ).
tff(f2267,plain,
( spl5_48
| spl5_49
| ~ spl5_30
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f2260,f1646,f1610,f2265,f2262]) ).
tff(f2265,plain,
( spl5_49
<=> ! [X51: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X51)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X51,sK2)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
tff(f2260,plain,
( ! [X51: tp__ty_2Eextreal_2Eextreal,X52: tp__o] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X51)))
| ( c_2Ebool_2ET = inj__o(fo__c_2Eextreal_2Eextreal__le(X51,sK2)) )
| ~ p(inj__o(X52)) )
| ~ spl5_30
| ~ spl5_33 ),
inference(forward_subsumption_demodulation,[],[f2245,f1647]) ).
tff(f2245,plain,
( ! [X51: tp__ty_2Eextreal_2Eextreal,X52: tp__o] :
( ~ p(inj__o(X52))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X51)))
| ( inj__o(fo__c_2Eextreal_2Eextreal__le(X51,sK2)) = inj__o(X52) ) )
| ~ spl5_30 ),
inference(resolution,[],[f1642,f1623]) ).
tff(f2120,plain,
( spl5_4
| ~ spl5_40
| spl5_46 ),
inference(avatar_split_clause,[],[f2119,f2052,f1959,f1323]) ).
tff(f1323,plain,
( spl5_4
<=> p(c_2Ebool_2EF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
tff(f2119,plain,
( p(c_2Ebool_2EF)
| ~ spl5_40
| spl5_46 ),
inference(forward_demodulation,[],[f2103,f1961]) ).
tff(f2103,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)))
| spl5_46 ),
inference(resolution,[],[f2053,f1393]) ).
tff(f2053,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2)))
| spl5_46 ),
inference(avatar_component_clause,[],[f2052]) ).
tff(f2118,plain,
( spl5_47
| ~ spl5_32
| spl5_46 ),
inference(avatar_split_clause,[],[f2111,f2052,f1633,f2115]) ).
tff(f2111,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2)) )
| ~ spl5_32
| spl5_46 ),
inference(resolution,[],[f2053,f1634]) ).
tff(f2113,plain,
( spl5_4
| ~ spl5_40
| spl5_46 ),
inference(avatar_split_clause,[],[f2112,f2052,f1959,f1323]) ).
tff(f2112,plain,
( p(c_2Ebool_2EF)
| ~ spl5_40
| spl5_46 ),
inference(forward_demodulation,[],[f2104,f1961]) ).
tff(f2104,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)))
| spl5_46 ),
inference(resolution,[],[f2053,f1393]) ).
tff(f2060,plain,
( spl5_44
| ~ spl5_20
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f2022,f1964,f1436,f2024]) ).
tff(f1964,plain,
( spl5_41
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
tff(f2022,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Eextreal_2Eextreal__le(sK3,sK4) )
| ~ spl5_20
| ~ spl5_41 ),
inference(forward_demodulation,[],[f2020,f1438]) ).
tff(f2020,plain,
( ( surj__o(c_2Ebool_2EF) = fo__c_2Eextreal_2Eextreal__le(sK3,sK4) )
| ~ spl5_41 ),
inference(superposition,[],[f775,f1966]) ).
tff(f1966,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)) )
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f1964]) ).
tff(f2059,plain,
( spl5_41
| spl5_19
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f1944,f1633,f1416,f1964]) ).
tff(f1944,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)) )
| spl5_19
| ~ spl5_32 ),
inference(resolution,[],[f1634,f1417]) ).
tff(f1417,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)))
| spl5_19 ),
inference(avatar_component_clause,[],[f1416]) ).
tff(f2057,plain,
( spl5_45
| ~ spl5_9
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f2029,f1964,f1349,f2031]) ).
tff(f2029,plain,
( ( sK3 = fo__c_2Eextreal_2Eextreal__max(sK3,sK4) )
| ~ spl5_9
| ~ spl5_41 ),
inference(forward_demodulation,[],[f2028,f241]) ).
tff(f2028,plain,
( ( surj__ty_2Eextreal_2Eextreal(inj__ty_2Eextreal_2Eextreal(sK3)) = fo__c_2Eextreal_2Eextreal__max(sK3,sK4) )
| ~ spl5_9
| ~ spl5_41 ),
inference(forward_demodulation,[],[f2007,f1741]) ).
tff(f2007,plain,
( ( fo__c_2Eextreal_2Eextreal__max(sK3,sK4) = surj__ty_2Eextreal_2Eextreal(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),inj__ty_2Eextreal_2Eextreal(sK4)),inj__ty_2Eextreal_2Eextreal(sK3))) )
| ~ spl5_41 ),
inference(superposition,[],[f1392,f1966]) ).
tff(f2056,plain,
( ~ spl5_19
| spl5_2 ),
inference(avatar_split_clause,[],[f1460,f1314,f1416]) ).
tff(f1314,plain,
( spl5_2
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
tff(f1460,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)))
| spl5_2 ),
inference(forward_demodulation,[],[f1316,f304]) ).
tff(f1316,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK4)))
| spl5_2 ),
inference(avatar_component_clause,[],[f1314]) ).
tff(f2055,plain,
( spl5_46
| ~ spl5_19
| ~ spl5_30 ),
inference(avatar_split_clause,[],[f2046,f1610,f1416,f2052]) ).
tff(f2046,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK2)))
| ~ spl5_19
| ~ spl5_30 ),
inference(resolution,[],[f1418,f1624]) ).
tff(f1624,plain,
( ! [X1: tp__ty_2Eextreal_2Eextreal] :
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,sK4)))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(X1,sK2))) )
| ~ spl5_30 ),
inference(resolution,[],[f1612,f1396]) ).
tff(f2040,plain,
( spl5_40
| spl5_27
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f1941,f1633,f1518,f1959]) ).
tff(f1941,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)) )
| spl5_27
| ~ spl5_32 ),
inference(resolution,[],[f1634,f1520]) ).
tff(f1520,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)))
| spl5_27 ),
inference(avatar_component_clause,[],[f1518]) ).
tff(f2034,plain,
( spl5_45
| ~ spl5_9
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f2029,f1964,f1349,f2031]) ).
tff(f2027,plain,
( spl5_44
| ~ spl5_20
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f2022,f1964,f1436,f2024]) ).
tff(f1981,plain,
( spl5_18
| ~ spl5_17
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f1537,f1488,f1399,f1410]) ).
tff(f1537,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)))
| ~ spl5_17
| ~ spl5_24 ),
inference(resolution,[],[f1490,f1522]) ).
tff(f1490,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| ~ spl5_24 ),
inference(avatar_component_clause,[],[f1488]) ).
tff(f1980,plain,
( spl5_18
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f1424,f1310,f1410]) ).
tff(f1977,plain,
( spl5_43
| spl5_18
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f1940,f1633,f1410,f1974]) ).
tff(f1974,plain,
( spl5_43
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
tff(f1940,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)) )
| spl5_18
| ~ spl5_32 ),
inference(resolution,[],[f1634,f1412]) ).
tff(f1412,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)))
| spl5_18 ),
inference(avatar_component_clause,[],[f1410]) ).
tff(f1972,plain,
( spl5_42
| spl5_22
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f1945,f1633,f1450,f1969]) ).
tff(f1969,plain,
( spl5_42
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
tff(f1945,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))) )
| spl5_22
| ~ spl5_32 ),
inference(resolution,[],[f1634,f1451]) ).
tff(f1451,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| spl5_22 ),
inference(avatar_component_clause,[],[f1450]) ).
tff(f1967,plain,
( spl5_41
| spl5_19
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f1944,f1633,f1416,f1964]) ).
tff(f1962,plain,
( spl5_40
| spl5_27
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f1941,f1633,f1518,f1959]) ).
tff(f1957,plain,
( spl5_39
| spl5_26
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f1943,f1633,f1503,f1954]) ).
tff(f1954,plain,
( spl5_39
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
tff(f1503,plain,
( spl5_26
<=> p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,fo__c_2Eextreal_2Eextreal__max(sK2,sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
tff(f1943,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))) )
| spl5_26
| ~ spl5_32 ),
inference(resolution,[],[f1634,f1504]) ).
tff(f1504,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| spl5_26 ),
inference(avatar_component_clause,[],[f1503]) ).
tff(f1952,plain,
( spl5_38
| spl5_24
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f1942,f1633,f1488,f1949]) ).
tff(f1949,plain,
( spl5_38
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
tff(f1942,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))) )
| spl5_24
| ~ spl5_32 ),
inference(resolution,[],[f1634,f1489]) ).
tff(f1489,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| spl5_24 ),
inference(avatar_component_clause,[],[f1488]) ).
tff(f1886,plain,
( spl5_37
| ~ spl5_7
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f1881,f1354,f1339,f1883]) ).
tff(f1883,plain,
( spl5_37
<=> ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__max),c_2Eextreal_2Eextreal__max) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
tff(f1339,plain,
( spl5_7
<=> mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
tff(f1881,plain,
( ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__max),c_2Eextreal_2Eextreal__max) )
| ~ spl5_7
| ~ spl5_10 ),
inference(resolution,[],[f1574,f1341]) ).
tff(f1341,plain,
( mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f1339]) ).
tff(f1574,plain,
( ! [X8: $i] :
( ~ mem(X8,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
| ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__max),X8) ) )
| ~ spl5_7
| ~ spl5_10 ),
inference(resolution,[],[f1407,f1341]) ).
tff(f1848,plain,
( spl5_36
| ~ spl5_6
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f1843,f1354,f1334,f1845]) ).
tff(f1845,plain,
( spl5_36
<=> ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__le),c_2Eextreal_2Eextreal__le) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
tff(f1334,plain,
( spl5_6
<=> mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
tff(f1843,plain,
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__le),c_2Eextreal_2Eextreal__le) )
| ~ spl5_6
| ~ spl5_10 ),
inference(resolution,[],[f1572,f1336]) ).
tff(f1336,plain,
( mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f1334]) ).
tff(f1572,plain,
( ! [X5: $i] :
( ~ mem(X5,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
| ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),c_2Eextreal_2Eextreal__le),X5) ) )
| ~ spl5_6
| ~ spl5_10 ),
inference(resolution,[],[f1407,f1336]) ).
tff(f1842,plain,
( spl5_35
| ~ spl5_7
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f1837,f1349,f1339,f1839]) ).
tff(f1839,plain,
( spl5_35
<=> ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),c_2Eextreal_2Eextreal__max),c_2Eextreal_2Eextreal__max) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
tff(f1837,plain,
( ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),c_2Eextreal_2Eextreal__max),c_2Eextreal_2Eextreal__max) )
| ~ spl5_7
| ~ spl5_9 ),
inference(resolution,[],[f1567,f1341]) ).
tff(f1567,plain,
( ! [X8: $i] :
( ~ mem(X8,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
| ( c_2Eextreal_2Eextreal__max = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),X8),c_2Eextreal_2Eextreal__max) ) )
| ~ spl5_7
| ~ spl5_9 ),
inference(resolution,[],[f1403,f1341]) ).
tff(f1836,plain,
( spl5_34
| ~ spl5_6
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f1831,f1349,f1334,f1833]) ).
tff(f1833,plain,
( spl5_34
<=> ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),c_2Eextreal_2Eextreal__le),c_2Eextreal_2Eextreal__le) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
tff(f1831,plain,
( ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),c_2Eextreal_2Eextreal__le),c_2Eextreal_2Eextreal__le) )
| ~ spl5_6
| ~ spl5_9 ),
inference(resolution,[],[f1565,f1336]) ).
tff(f1565,plain,
( ! [X5: $i] :
( ~ mem(X5,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
| ( c_2Eextreal_2Eextreal__le = ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),X5),c_2Eextreal_2Eextreal__le) ) )
| ~ spl5_6
| ~ spl5_9 ),
inference(resolution,[],[f1403,f1336]) ).
tff(f1648,plain,
( ~ spl5_11
| spl5_33
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f1643,f1376,f1646,f1361]) ).
tff(f1376,plain,
( spl5_14
<=> mem(c_2Ebool_2ET,bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
tff(f1643,plain,
( ! [X2: tp__o] :
( ( c_2Ebool_2ET = inj__o(X2) )
| ~ p(inj__o(X2))
| ~ p(c_2Ebool_2ET) )
| ~ spl5_14 ),
inference(resolution,[],[f1541,f1378]) ).
tff(f1378,plain,
( mem(c_2Ebool_2ET,bool)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f1376]) ).
tff(f1639,plain,
( spl5_19
| spl5_31 ),
inference(avatar_split_clause,[],[f1636,f1615,f1416]) ).
tff(f1638,plain,
( spl5_19
| spl5_31 ),
inference(avatar_split_clause,[],[f1637,f1615,f1416]) ).
tff(f1637,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)))
| spl5_31 ),
inference(resolution,[],[f1616,f1393]) ).
tff(f1635,plain,
( spl5_4
| spl5_32
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f1631,f1344,f1633,f1323]) ).
tff(f1344,plain,
( spl5_8
<=> mem(c_2Ebool_2EF,bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
tff(f1631,plain,
( ! [X3: tp__o] :
( p(inj__o(X3))
| ( inj__o(X3) = c_2Ebool_2EF )
| p(c_2Ebool_2EF) )
| ~ spl5_8 ),
inference(resolution,[],[f1527,f1346]) ).
tff(f1346,plain,
( mem(c_2Ebool_2EF,bool)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f1344]) ).
tff(f1622,plain,
( spl5_18
| spl5_30 ),
inference(avatar_split_clause,[],[f1619,f1610,f1410]) ).
tff(f1619,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)))
| spl5_30 ),
inference(resolution,[],[f1611,f1393]) ).
tff(f1611,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK2)))
| spl5_30 ),
inference(avatar_component_clause,[],[f1610]) ).
tff(f1621,plain,
( spl5_18
| spl5_30 ),
inference(avatar_split_clause,[],[f1620,f1610,f1410]) ).
tff(f1620,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)))
| spl5_30 ),
inference(resolution,[],[f1611,f1393]) ).
tff(f1618,plain,
( spl5_31
| ~ spl5_22
| spl5_26 ),
inference(avatar_split_clause,[],[f1608,f1503,f1450,f1615]) ).
tff(f1608,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK3)))
| ~ spl5_22
| spl5_26 ),
inference(resolution,[],[f1554,f1504]) ).
tff(f1554,plain,
( ! [X8: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X8,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,X8))) )
| ~ spl5_22 ),
inference(resolution,[],[f1474,f1452]) ).
tff(f1613,plain,
( spl5_30
| ~ spl5_22
| spl5_24 ),
inference(avatar_split_clause,[],[f1604,f1488,f1450,f1610]) ).
tff(f1604,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,sK2)))
| ~ spl5_22
| spl5_24 ),
inference(resolution,[],[f1554,f1489]) ).
tff(f1595,plain,
( ~ spl5_19
| spl5_2 ),
inference(avatar_split_clause,[],[f1594,f1314,f1416]) ).
tff(f1594,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)))
| spl5_2 ),
inference(forward_demodulation,[],[f1316,f304]) ).
tff(f1593,plain,
( ~ spl5_19
| ~ spl5_22
| spl5_26 ),
inference(avatar_split_clause,[],[f1592,f1503,f1450,f1416]) ).
tff(f1592,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)))
| ~ spl5_22
| spl5_26 ),
inference(resolution,[],[f1475,f1504]) ).
tff(f1475,plain,
( ! [X8: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X8,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X8,sK4))) )
| ~ spl5_22 ),
inference(resolution,[],[f1396,f1452]) ).
tff(f1547,plain,
( spl5_29
| ~ spl5_11
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f1542,f1376,f1361,f1545]) ).
tff(f1545,plain,
( spl5_29
<=> ! [X2] :
( ~ mem(X2,bool)
| ~ p(X2)
| ( c_2Ebool_2ET = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
tff(f1542,plain,
( ! [X2: $i] :
( ~ p(c_2Ebool_2ET)
| ~ mem(X2,bool)
| ( c_2Ebool_2ET = X2 )
| ~ p(X2) )
| ~ spl5_14 ),
inference(resolution,[],[f244,f1378]) ).
tff(f1539,plain,
( spl5_18
| ~ spl5_17
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f1537,f1488,f1399,f1410]) ).
tff(f1533,plain,
( spl5_4
| spl5_28
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f1529,f1344,f1531,f1323]) ).
tff(f1531,plain,
( spl5_28
<=> ! [X3] :
( p(X3)
| ~ mem(X3,bool)
| ( c_2Ebool_2EF = X3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
tff(f1529,plain,
( ! [X3: $i] :
( p(X3)
| ( c_2Ebool_2EF = X3 )
| ~ mem(X3,bool)
| p(c_2Ebool_2EF) )
| ~ spl5_8 ),
inference(resolution,[],[f243,f1346]) ).
tff(f1521,plain,
( ~ spl5_27
| spl5_18
| ~ spl5_19 ),
inference(avatar_split_clause,[],[f1514,f1416,f1410,f1518]) ).
tff(f1514,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK3)))
| spl5_18
| ~ spl5_19 ),
inference(resolution,[],[f1412,f1477]) ).
tff(f1477,plain,
( ! [X10: tp__ty_2Eextreal_2Eextreal] :
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(X10,sK4)))
| ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(X10,sK3))) )
| ~ spl5_19 ),
inference(resolution,[],[f1396,f1418]) ).
tff(f1509,plain,
( spl5_17
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f1397,f1387,f1399]) ).
tff(f1397,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)))
| ~ spl5_16 ),
inference(forward_demodulation,[],[f1389,f304]) ).
tff(f1389,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK2,sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f1387]) ).
tff(f1508,plain,
( spl5_17
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f1458,f1318,f1399]) ).
tff(f1458,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f1457,f304]) ).
tff(f1457,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK2,sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f1319,f758]) ).
tff(f1319,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f1318]) ).
tff(f1507,plain,
( spl5_26
| spl5_25 ),
inference(avatar_split_clause,[],[f1500,f1496,f1503]) ).
tff(f1500,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| spl5_25 ),
inference(resolution,[],[f1498,f1393]) ).
tff(f1498,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK3)))
| spl5_25 ),
inference(avatar_component_clause,[],[f1496]) ).
tff(f1506,plain,
( spl5_26
| spl5_25 ),
inference(avatar_split_clause,[],[f1501,f1496,f1503]) ).
tff(f1501,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| spl5_25 ),
inference(resolution,[],[f1498,f1393]) ).
tff(f1499,plain,
( ~ spl5_25
| spl5_17
| ~ spl5_19 ),
inference(avatar_split_clause,[],[f1493,f1416,f1399,f1496]) ).
tff(f1493,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK3)))
| spl5_17
| ~ spl5_19 ),
inference(resolution,[],[f1477,f1400]) ).
tff(f1492,plain,
( spl5_24
| spl5_23 ),
inference(avatar_split_clause,[],[f1485,f1481,f1488]) ).
tff(f1485,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| spl5_23 ),
inference(resolution,[],[f1483,f1393]) ).
tff(f1491,plain,
( spl5_24
| spl5_23 ),
inference(avatar_split_clause,[],[f1486,f1481,f1488]) ).
tff(f1484,plain,
( ~ spl5_23
| spl5_17
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f1478,f1410,f1399,f1481]) ).
tff(f1466,plain,
( spl5_22
| spl5_17 ),
inference(avatar_split_clause,[],[f1447,f1399,f1450]) ).
tff(f1447,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK4,fo__c_2Eextreal_2Eextreal__max(sK2,sK3))))
| spl5_17 ),
inference(resolution,[],[f1393,f1400]) ).
tff(f1465,plain,
( ~ spl5_17
| spl5_3 ),
inference(avatar_split_clause,[],[f1405,f1318,f1399]) ).
tff(f1464,plain,
( ~ spl5_17
| spl5_16 ),
inference(avatar_split_clause,[],[f1463,f1387,f1399]) ).
tff(f1463,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)))
| spl5_16 ),
inference(forward_demodulation,[],[f1388,f304]) ).
tff(f1461,plain,
( ~ spl5_19
| spl5_2 ),
inference(avatar_split_clause,[],[f1460,f1314,f1416]) ).
tff(f1459,plain,
( spl5_17
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f1458,f1318,f1399]) ).
tff(f1456,plain,
( spl5_17
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f1421,f1318,f1399]) ).
tff(f1421,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(fo__c_2Eextreal_2Eextreal__max(sK2,sK3),sK4)))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f1420,f304]) ).
tff(f1420,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK2,sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f1319,f758]) ).
tff(f1455,plain,
( ~ spl5_19
| spl5_2 ),
inference(avatar_split_clause,[],[f1426,f1314,f1416]) ).
tff(f1426,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)))
| spl5_2 ),
inference(forward_demodulation,[],[f1316,f304]) ).
tff(f1454,plain,
( spl5_22
| spl5_17 ),
inference(avatar_split_clause,[],[f1447,f1399,f1450]) ).
tff(f1453,plain,
( spl5_22
| spl5_17 ),
inference(avatar_split_clause,[],[f1446,f1399,f1450]) ).
tff(f1444,plain,
( spl5_21
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f1434,f1354,f1441]) ).
tff(f1434,plain,
( ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) )
| ~ spl5_10 ),
inference(superposition,[],[f775,f1356]) ).
tff(f1439,plain,
( spl5_20
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f1433,f1349,f1436]) ).
tff(f1433,plain,
( ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) )
| ~ spl5_9 ),
inference(superposition,[],[f775,f1351]) ).
tff(f1427,plain,
( ~ spl5_17
| spl5_16 ),
inference(avatar_split_clause,[],[f1423,f1387,f1399]) ).
tff(f1425,plain,
( spl5_18
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f1424,f1310,f1410]) ).
tff(f1422,plain,
( spl5_17
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f1421,f1318,f1399]) ).
tff(f1419,plain,
( spl5_19
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f1414,f1314,f1416]) ).
tff(f1414,plain,
( p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK3,sK4)))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f1315,f304]) ).
tff(f1315,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f1314]) ).
tff(f1413,plain,
( ~ spl5_18
| spl5_1 ),
inference(avatar_split_clause,[],[f1408,f1310,f1410]) ).
tff(f1408,plain,
( ~ p(inj__o(fo__c_2Eextreal_2Eextreal__le(sK2,sK4)))
| spl5_1 ),
inference(forward_demodulation,[],[f1312,f304]) ).
tff(f1312,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK4)))
| spl5_1 ),
inference(avatar_component_clause,[],[f1310]) ).
tff(f1406,plain,
( ~ spl5_17
| spl5_3 ),
inference(avatar_split_clause,[],[f1405,f1318,f1399]) ).
tff(f1402,plain,
( spl5_17
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f1397,f1387,f1399]) ).
tff(f1390,plain,
( spl5_1
| spl5_16 ),
inference(avatar_split_clause,[],[f1385,f1387,f1310]) ).
tff(f1385,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(fo__c_2Eextreal_2Eextreal__max(sK2,sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK4))) ),
inference(forward_demodulation,[],[f772,f758]) ).
tff(f772,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK4)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK3))),inj__ty_2Eextreal_2Eextreal(sK4))) ),
inference(cnf_transformation,[],[f226]) ).
tff(f226,plain,
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK4))) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK4)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK4))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f224,f225]) ).
tff(f225,plain,
( ? [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X2))) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))),inj__ty_2Eextreal_2Eextreal(X2)))
| ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X2))) ) ) )
=> ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK4))) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK4)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK4))) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f224,plain,
? [X0: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X2))) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X1))),inj__ty_2Eextreal_2Eextreal(X2)))
| ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X0)),inj__ty_2Eextreal_2Eextreal(X2))) ) ) ),
inference(rectify,[],[f223]) ).
tff(f223,plain,
? [X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0)))
| ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ) ) ),
inference(flattening,[],[f222]) ).
tff(f222,plain,
? [X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0)))
| ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) ) ) ),
inference(nnf_transformation,[],[f149]) ).
tff(f149,plain,
? [X1: tp__ty_2Eextreal_2Eextreal,X2: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) )
<~> p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(ennf_transformation,[],[f81]) ).
tff(f81,plain,
~ ! [X2: tp__ty_2Eextreal_2Eextreal,X1: tp__ty_2Eextreal_2Eextreal,X0: tp__ty_2Eextreal_2Eextreal] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X2)),inj__ty_2Eextreal_2Eextreal(X0)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X0))) )
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X1)),inj__ty_2Eextreal_2Eextreal(X2))),inj__ty_2Eextreal_2Eextreal(X0))) ),
inference(rectify,[],[f67]) ).
tff(f67,negated_conjecture,
~ ! [X23: tp__ty_2Eextreal_2Eextreal,X24: tp__ty_2Eextreal_2Eextreal,X25: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X24)),inj__ty_2Eextreal_2Eextreal(X25))),inj__ty_2Eextreal_2Eextreal(X23)))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X25)),inj__ty_2Eextreal_2Eextreal(X23)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X24)),inj__ty_2Eextreal_2Eextreal(X23))) ) ),
inference(negated_conjecture,[],[f66]) ).
tff(f66,conjecture,
! [X23: tp__ty_2Eextreal_2Eextreal,X24: tp__ty_2Eextreal_2Eextreal,X25: tp__ty_2Eextreal_2Eextreal] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(X24)),inj__ty_2Eextreal_2Eextreal(X25))),inj__ty_2Eextreal_2Eextreal(X23)))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X25)),inj__ty_2Eextreal_2Eextreal(X23)))
& p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(X24)),inj__ty_2Eextreal_2Eextreal(X23))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Emax__le) ).
tff(f1384,plain,
spl5_15,
inference(avatar_split_clause,[],[f691,f1381]) ).
tff(f1381,plain,
( spl5_15
<=> mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
tff(f691,plain,
mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f26]) ).
tff(f26,axiom,
mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_5C_2F) ).
tff(f1379,plain,
spl5_14,
inference(avatar_split_clause,[],[f681,f1376]) ).
tff(f681,plain,
mem(c_2Ebool_2ET,bool),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).
tff(f1374,plain,
spl5_13,
inference(avatar_split_clause,[],[f834,f1371]) ).
tff(f1371,plain,
( spl5_13
<=> mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
tff(f834,plain,
mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f23]) ).
tff(f23,axiom,
mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D_3D_3E) ).
tff(f1369,plain,
spl5_12,
inference(avatar_split_clause,[],[f671,f1366]) ).
tff(f1366,plain,
( spl5_12
<=> mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
tff(f671,plain,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f29]) ).
tff(f29,axiom,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_2F_5C) ).
tff(f1364,plain,
spl5_11,
inference(avatar_split_clause,[],[f240,f1361]) ).
tff(f240,plain,
p(c_2Ebool_2ET),
inference(cnf_transformation,[],[f11]) ).
tff(f11,axiom,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_true_p) ).
tff(f1357,plain,
spl5_10,
inference(avatar_split_clause,[],[f684,f1354]) ).
tff(f684,plain,
c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2ET) ).
tff(f1352,plain,
spl5_9,
inference(avatar_split_clause,[],[f665,f1349]) ).
tff(f665,plain,
c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF),
inference(cnf_transformation,[],[f21]) ).
tff(f21,axiom,
c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2EF) ).
tff(f1347,plain,
spl5_8,
inference(avatar_split_clause,[],[f678,f1344]) ).
tff(f678,plain,
mem(c_2Ebool_2EF,bool),
inference(cnf_transformation,[],[f20]) ).
tff(f20,axiom,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2EF) ).
tff(f1342,plain,
spl5_7,
inference(avatar_split_clause,[],[f709,f1339]) ).
tff(f709,plain,
mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
inference(cnf_transformation,[],[f18]) ).
tff(f18,axiom,
mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__max) ).
tff(f1337,plain,
spl5_6,
inference(avatar_split_clause,[],[f242,f1334]) ).
tff(f242,plain,
mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__le) ).
tff(f1332,plain,
spl5_5,
inference(avatar_split_clause,[],[f257,f1329]) ).
tff(f1329,plain,
( spl5_5
<=> mem(c_2Ebool_2E_7E,arr(bool,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
tff(f257,plain,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
inference(cnf_transformation,[],[f32]) ).
tff(f32,axiom,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).
tff(f1327,plain,
( spl5_3
| spl5_2 ),
inference(avatar_split_clause,[],[f773,f1314,f1318]) ).
tff(f773,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK4)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK3))),inj__ty_2Eextreal_2Eextreal(sK4))) ),
inference(cnf_transformation,[],[f226]) ).
tff(f1326,plain,
~ spl5_4,
inference(avatar_split_clause,[],[f233,f1323]) ).
tff(f233,plain,
~ p(c_2Ebool_2EF),
inference(cnf_transformation,[],[f22]) ).
tff(f22,axiom,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_false_p) ).
tff(f1321,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f774,f1318,f1314,f1310]) ).
tff(f774,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK3))),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK3)),inj__ty_2Eextreal_2Eextreal(sK4)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,inj__ty_2Eextreal_2Eextreal(sK2)),inj__ty_2Eextreal_2Eextreal(sK4))) ),
inference(cnf_transformation,[],[f226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP021_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 23:50:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (19790)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (19790)Instruction limit reached!
% 0.20/0.49 % (19790)------------------------------
% 0.20/0.49 % (19790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (19790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (19790)Termination reason: Unknown
% 0.20/0.49 % (19790)Termination phase: Naming
% 0.20/0.49
% 0.20/0.49 % (19790)Memory used [KB]: 1023
% 0.20/0.49 % (19790)Time elapsed: 0.003 s
% 0.20/0.49 % (19790)Instructions burned: 2 (million)
% 0.20/0.49 % (19790)------------------------------
% 0.20/0.49 % (19790)------------------------------
% 0.20/0.49 % (19810)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.50 % (19795)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (19809)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.51 % (19789)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (19802)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (19789)Instruction limit reached!
% 0.20/0.52 % (19789)------------------------------
% 0.20/0.52 % (19789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (19789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (19789)Termination reason: Unknown
% 0.20/0.52 % (19789)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (19789)Memory used [KB]: 5628
% 0.20/0.52 % (19789)Time elapsed: 0.005 s
% 0.20/0.52 % (19789)Instructions burned: 8 (million)
% 0.20/0.52 % (19789)------------------------------
% 0.20/0.52 % (19789)------------------------------
% 0.20/0.52 % (19782)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.28/0.52 % (19804)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.28/0.52 % (19794)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.28/0.52 % (19805)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.28/0.52 % (19786)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.53 % (19787)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.28/0.53 % (19785)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.53 % (19788)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.53 % (19783)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.53 % (19797)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.38/0.54 % (19791)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.54 % (19784)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.38/0.54 % (19803)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.38/0.54 % (19801)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.54 % (19796)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.38/0.54 % (19793)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.55 % (19808)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.38/0.55 % (19807)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.38/0.55 % (19811)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.38/0.55 % (19806)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.38/0.56 % (19799)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.38/0.56 % (19800)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.56 % (19798)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.38/0.57 % (19792)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.58 TRYING [1,1,1,1]
% 1.38/0.58 TRYING [1,2,1,1]
% 1.38/0.60 % (19852)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.38/0.60 TRYING [1,1,1,1]
% 1.38/0.60 % (19784)Instruction limit reached!
% 1.38/0.60 % (19784)------------------------------
% 1.38/0.60 % (19784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.60 % (19784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.60 % (19784)Termination reason: Unknown
% 1.38/0.60 % (19784)Termination phase: Saturation
% 1.38/0.60
% 1.38/0.60 % (19784)Memory used [KB]: 1407
% 1.38/0.60 % (19784)Time elapsed: 0.195 s
% 1.38/0.60 % (19784)Instructions burned: 38 (million)
% 1.38/0.60 % (19784)------------------------------
% 1.38/0.60 % (19784)------------------------------
% 1.38/0.60 TRYING [1,2,1,1]
% 1.38/0.60 % (19788)Instruction limit reached!
% 1.38/0.60 % (19788)------------------------------
% 1.38/0.60 % (19788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.60 % (19788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.60 % (19788)Termination reason: Unknown
% 1.38/0.60 % (19788)Termination phase: Finite model building constraint generation
% 1.38/0.60
% 1.38/0.60 % (19788)Memory used [KB]: 7036
% 1.38/0.60 % (19788)Time elapsed: 0.165 s
% 1.38/0.60 % (19788)Instructions burned: 53 (million)
% 1.38/0.60 % (19788)------------------------------
% 1.38/0.60 % (19788)------------------------------
% 1.38/0.61 % (19786)Instruction limit reached!
% 1.38/0.61 % (19786)------------------------------
% 1.38/0.61 % (19786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.61 % (19786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.61 % (19786)Termination reason: Unknown
% 1.38/0.61 % (19786)Termination phase: Saturation
% 1.38/0.61
% 1.38/0.61 % (19786)Memory used [KB]: 6012
% 1.38/0.61 % (19786)Time elapsed: 0.210 s
% 1.38/0.61 % (19786)Instructions burned: 53 (million)
% 1.38/0.61 % (19786)------------------------------
% 1.38/0.61 % (19786)------------------------------
% 1.38/0.61 % (19791)Instruction limit reached!
% 1.38/0.61 % (19791)------------------------------
% 1.38/0.61 % (19791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.61 % (19787)Instruction limit reached!
% 1.38/0.61 % (19787)------------------------------
% 1.38/0.61 % (19787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.61 % (19787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.61 % (19787)Termination reason: Unknown
% 1.38/0.61 % (19787)Termination phase: Saturation
% 1.38/0.61
% 1.38/0.61 % (19787)Memory used [KB]: 6524
% 1.38/0.61 % (19787)Time elapsed: 0.203 s
% 1.38/0.61 % (19787)Instructions burned: 48 (million)
% 1.38/0.61 % (19787)------------------------------
% 1.38/0.61 % (19787)------------------------------
% 1.38/0.61 TRYING [1,3,1,1]
% 1.38/0.61 TRYING [1,1,1,1]
% 1.38/0.61 % (19791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.61 % (19791)Termination reason: Unknown
% 1.38/0.61 % (19791)Termination phase: Saturation
% 1.38/0.61
% 1.38/0.61 % (19791)Memory used [KB]: 1791
% 1.38/0.61 % (19791)Time elapsed: 0.186 s
% 1.38/0.61 % (19791)Instructions burned: 52 (million)
% 1.38/0.61 % (19791)------------------------------
% 1.38/0.61 % (19791)------------------------------
% 1.38/0.61 % (19783)Refutation not found, incomplete strategy% (19783)------------------------------
% 1.38/0.61 % (19783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.61 % (19783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.61 % (19783)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.61
% 1.38/0.61 % (19783)Memory used [KB]: 6396
% 1.38/0.61 % (19783)Time elapsed: 0.198 s
% 1.38/0.61 % (19783)Instructions burned: 46 (million)
% 1.38/0.61 % (19783)------------------------------
% 1.38/0.61 % (19783)------------------------------
% 1.38/0.61 TRYING [1,2,1,1]
% 1.38/0.61 % (19799)Instruction limit reached!
% 1.38/0.61 % (19799)------------------------------
% 1.38/0.61 % (19799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.61 % (19799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.61 % (19799)Termination reason: Unknown
% 1.38/0.61 % (19799)Termination phase: Finite model building constraint generation
% 1.38/0.61
% 1.38/0.61 % (19799)Memory used [KB]: 7036
% 1.38/0.61 % (19799)Time elapsed: 0.213 s
% 1.38/0.61 % (19799)Instructions burned: 59 (million)
% 1.38/0.61 % (19799)------------------------------
% 1.38/0.61 % (19799)------------------------------
% 2.14/0.63 % (19785)Instruction limit reached!
% 2.14/0.63 % (19785)------------------------------
% 2.14/0.63 % (19785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.63 % (19785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63 % (19785)Termination reason: Unknown
% 2.14/0.63 % (19785)Termination phase: Saturation
% 2.14/0.63
% 2.14/0.63 % (19785)Memory used [KB]: 6652
% 2.14/0.63 % (19785)Time elapsed: 0.226 s
% 2.14/0.63 % (19785)Instructions burned: 52 (million)
% 2.14/0.63 % (19785)------------------------------
% 2.14/0.63 % (19785)------------------------------
% 2.14/0.63 % (19795)Instruction limit reached!
% 2.14/0.63 % (19795)------------------------------
% 2.14/0.63 % (19795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.63 % (19795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63 % (19795)Termination reason: Unknown
% 2.14/0.63 % (19795)Termination phase: Saturation
% 2.14/0.63
% 2.14/0.63 % (19795)Memory used [KB]: 6524
% 2.14/0.63 % (19795)Time elapsed: 0.214 s
% 2.14/0.63 % (19795)Instructions burned: 101 (million)
% 2.14/0.63 % (19795)------------------------------
% 2.14/0.63 % (19795)------------------------------
% 2.14/0.64 % (19792)Instruction limit reached!
% 2.14/0.64 % (19792)------------------------------
% 2.14/0.64 % (19792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65 % (19792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65 % (19792)Termination reason: Unknown
% 2.14/0.65 % (19792)Termination phase: Saturation
% 2.14/0.65
% 2.14/0.65 % (19792)Memory used [KB]: 6524
% 2.14/0.65 % (19792)Time elapsed: 0.241 s
% 2.14/0.65 % (19792)Instructions burned: 50 (million)
% 2.14/0.65 % (19792)------------------------------
% 2.14/0.65 % (19792)------------------------------
% 2.14/0.65 % (19797)Instruction limit reached!
% 2.14/0.65 % (19797)------------------------------
% 2.14/0.65 % (19797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65 % (19808)Instruction limit reached!
% 2.14/0.65 % (19808)------------------------------
% 2.14/0.65 % (19808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.67 % (19864)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.14/0.67 % (19797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.67 % (19797)Termination reason: Unknown
% 2.14/0.67 % (19797)Termination phase: Saturation
% 2.14/0.67
% 2.14/0.67 % (19797)Memory used [KB]: 1918
% 2.14/0.67 % (19797)Time elapsed: 0.216 s
% 2.14/0.67 % (19797)Instructions burned: 76 (million)
% 2.14/0.67 % (19797)------------------------------
% 2.14/0.67 % (19797)------------------------------
% 2.14/0.67 TRYING [1,2,2,1]
% 2.14/0.67 % (19808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.67 % (19808)Termination reason: Unknown
% 2.14/0.67 % (19808)Termination phase: Saturation
% 2.14/0.67
% 2.14/0.67 % (19808)Memory used [KB]: 6908
% 2.14/0.67 % (19808)Time elapsed: 0.039 s
% 2.14/0.67 % (19808)Instructions burned: 69 (million)
% 2.14/0.67 % (19808)------------------------------
% 2.14/0.67 % (19808)------------------------------
% 2.14/0.67 % (19796)Instruction limit reached!
% 2.14/0.67 % (19796)------------------------------
% 2.14/0.67 % (19796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.67 % (19796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.67 % (19796)Termination reason: Unknown
% 2.14/0.67 % (19796)Termination phase: Saturation
% 2.14/0.67
% 2.14/0.67 % (19796)Memory used [KB]: 6908
% 2.14/0.67 % (19796)Time elapsed: 0.038 s
% 2.14/0.67 % (19796)Instructions burned: 68 (million)
% 2.14/0.67 % (19796)------------------------------
% 2.14/0.67 % (19796)------------------------------
% 2.45/0.70 % (19801)Instruction limit reached!
% 2.45/0.70 % (19801)------------------------------
% 2.45/0.70 % (19801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.70 % (19801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.70 % (19801)Termination reason: Unknown
% 2.45/0.70 % (19801)Termination phase: Saturation
% 2.45/0.70
% 2.45/0.70 % (19801)Memory used [KB]: 1663
% 2.45/0.70 % (19801)Time elapsed: 0.298 s
% 2.45/0.70 % (19801)Instructions burned: 100 (million)
% 2.45/0.70 % (19801)------------------------------
% 2.45/0.70 % (19801)------------------------------
% 2.45/0.70 TRYING [2,2,2,1]
% 2.45/0.71 % (19794)Instruction limit reached!
% 2.45/0.71 % (19794)------------------------------
% 2.45/0.71 % (19794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71 % (19794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71 % (19794)Termination reason: Unknown
% 2.45/0.71 % (19794)Termination phase: Saturation
% 2.45/0.71
% 2.45/0.71 % (19794)Memory used [KB]: 7036
% 2.45/0.71 % (19794)Time elapsed: 0.315 s
% 2.45/0.71 % (19794)Instructions burned: 101 (million)
% 2.45/0.71 % (19794)------------------------------
% 2.45/0.71 % (19794)------------------------------
% 2.45/0.71 % (19901)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.45/0.71 % (19793)Instruction limit reached!
% 2.45/0.71 % (19793)------------------------------
% 2.45/0.71 % (19793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71 % (19793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71 % (19793)Termination reason: Unknown
% 2.45/0.71 % (19793)Termination phase: Saturation
% 2.45/0.71
% 2.45/0.71 % (19793)Memory used [KB]: 7547
% 2.45/0.71 % (19793)Time elapsed: 0.311 s
% 2.45/0.71 % (19793)Instructions burned: 100 (million)
% 2.45/0.71 % (19793)------------------------------
% 2.45/0.71 % (19793)------------------------------
% 2.45/0.72 % (19900)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.45/0.72 % (19798)Instruction limit reached!
% 2.45/0.72 % (19798)------------------------------
% 2.45/0.72 % (19798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.72 % (19798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.72 % (19798)Termination reason: Unknown
% 2.45/0.72 % (19798)Termination phase: Saturation
% 2.45/0.72
% 2.45/0.72 % (19798)Memory used [KB]: 7036
% 2.45/0.72 % (19798)Time elapsed: 0.297 s
% 2.45/0.72 % (19798)Instructions burned: 99 (million)
% 2.45/0.72 % (19798)------------------------------
% 2.45/0.72 % (19798)------------------------------
% 2.45/0.73 % (19800)Instruction limit reached!
% 2.45/0.73 % (19800)------------------------------
% 2.45/0.73 % (19800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.73 % (19800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.73 % (19800)Termination reason: Unknown
% 2.45/0.73 % (19800)Termination phase: Saturation
% 2.45/0.73
% 2.45/0.73 % (19800)Memory used [KB]: 6908
% 2.45/0.73 % (19800)Time elapsed: 0.326 s
% 2.45/0.73 % (19800)Instructions burned: 100 (million)
% 2.45/0.73 % (19800)------------------------------
% 2.45/0.73 % (19800)------------------------------
% 2.45/0.73 % (19902)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.45/0.74 % (19896)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.45/0.74 % (19898)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.45/0.74 % (19897)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.45/0.74 % (19899)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.45/0.75 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.45/0.75 % (19903)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.77/0.77 % (19904)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.77/0.78 % (19905)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.77/0.78 TRYING [1,3,2,1]
% 2.77/0.79 % (19803)Instruction limit reached!
% 2.77/0.79 % (19803)------------------------------
% 2.77/0.79 % (19803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.79 % (19803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.79 % (19803)Termination reason: Unknown
% 2.77/0.79 % (19803)Termination phase: Saturation
% 2.77/0.79
% 2.77/0.79 % (19803)Memory used [KB]: 6908
% 2.77/0.79 % (19803)Time elapsed: 0.360 s
% 2.77/0.79 % (19803)Instructions burned: 139 (million)
% 2.77/0.79 % (19803)------------------------------
% 2.77/0.79 % (19803)------------------------------
% 2.77/0.79 % (19802)Instruction limit reached!
% 2.77/0.79 % (19802)------------------------------
% 2.77/0.79 % (19802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.79 % (19802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.79 % (19802)Termination reason: Unknown
% 2.77/0.79 % (19802)Termination phase: Saturation
% 2.77/0.79
% 2.77/0.79 % (19802)Memory used [KB]: 6652
% 2.77/0.79 % (19802)Time elapsed: 0.394 s
% 2.77/0.79 % (19802)Instructions burned: 176 (million)
% 2.77/0.79 % (19802)------------------------------
% 2.77/0.79 % (19802)------------------------------
% 2.77/0.79 % (19906)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.88/0.80 % (19907)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.88/0.81 % (19908)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.88/0.82 % (19901)Instruction limit reached!
% 2.88/0.82 % (19901)------------------------------
% 2.88/0.82 % (19901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.82 % (19901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.82 % (19901)Termination reason: Unknown
% 2.88/0.82 % (19901)Termination phase: Saturation
% 2.88/0.82
% 2.88/0.82 % (19901)Memory used [KB]: 6908
% 2.88/0.82 % (19901)Time elapsed: 0.038 s
% 2.88/0.82 % (19901)Instructions burned: 69 (million)
% 2.88/0.82 % (19901)------------------------------
% 2.88/0.82 % (19901)------------------------------
% 2.88/0.82 % (19909)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.97/0.84 TRYING [2,3,2,1]
% 2.97/0.84 % (19809)Instruction limit reached!
% 2.97/0.84 % (19809)------------------------------
% 2.97/0.84 % (19809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.84 % (19809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.84 % (19809)Termination reason: Unknown
% 2.97/0.84 % (19809)Termination phase: Saturation
% 2.97/0.84
% 2.97/0.84 % (19809)Memory used [KB]: 3582
% 2.97/0.84 % (19809)Time elapsed: 0.445 s
% 2.97/0.84 % (19809)Instructions burned: 178 (million)
% 2.97/0.84 % (19809)------------------------------
% 2.97/0.84 % (19809)------------------------------
% 2.97/0.84 % (19910)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.97/0.85 % (19913)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.97/0.86 % (19912)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.97/0.87 % (19896)Instruction limit reached!
% 2.97/0.87 % (19896)------------------------------
% 2.97/0.87 % (19896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.87 % (19896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.87 % (19896)Termination reason: Unknown
% 2.97/0.87 % (19896)Termination phase: Saturation
% 2.97/0.87
% 2.97/0.87 % (19896)Memory used [KB]: 6396
% 2.97/0.87 % (19896)Time elapsed: 0.240 s
% 2.97/0.87 % (19896)Instructions burned: 90 (million)
% 2.97/0.87 % (19896)------------------------------
% 2.97/0.87 % (19896)------------------------------
% 2.97/0.87 % (19911)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.97/0.87 % (19904)Instruction limit reached!
% 2.97/0.87 % (19904)------------------------------
% 2.97/0.87 % (19904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.87 % (19904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.87 % (19904)Termination reason: Unknown
% 2.97/0.87 % (19904)Termination phase: Saturation
% 2.97/0.87
% 2.97/0.87 % (19904)Memory used [KB]: 6524
% 2.97/0.87 % (19904)Time elapsed: 0.214 s
% 2.97/0.87 % (19904)Instructions burned: 93 (million)
% 2.97/0.87 % (19904)------------------------------
% 2.97/0.87 % (19904)------------------------------
% 2.97/0.92 TRYING [1,4,1,1]
% 2.97/0.92 % (19914)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.37/0.93 % (19915)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.37/0.93 % (19805)Instruction limit reached!
% 3.37/0.93 % (19805)------------------------------
% 3.37/0.93 % (19805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.94 % (19805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.94 % (19805)Termination reason: Unknown
% 3.37/0.94 % (19805)Termination phase: Saturation
% 3.37/0.94
% 3.37/0.94 % (19805)Memory used [KB]: 6268
% 3.37/0.94 % (19805)Time elapsed: 0.399 s
% 3.37/0.94 % (19805)Instructions burned: 472 (million)
% 3.37/0.94 % (19805)------------------------------
% 3.37/0.94 % (19805)------------------------------
% 3.37/0.97 % (19811)Instruction limit reached!
% 3.37/0.97 % (19811)------------------------------
% 3.37/0.97 % (19811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.97 % (19811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.97 % (19811)Termination reason: Unknown
% 3.37/0.97 % (19811)Termination phase: Saturation
% 3.37/0.97
% 3.37/0.97 % (19811)Memory used [KB]: 8059
% 3.37/0.97 % (19811)Time elapsed: 0.558 s
% 3.37/0.97 % (19811)Instructions burned: 356 (million)
% 3.37/0.97 % (19811)------------------------------
% 3.37/0.97 % (19811)------------------------------
% 3.37/0.97 % (19916)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.37/0.97 % (19917)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.50/0.99 % (19911)Instruction limit reached!
% 3.50/0.99 % (19911)------------------------------
% 3.50/0.99 % (19911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/0.99 % (19911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/0.99 % (19911)Termination reason: Unknown
% 3.50/0.99 % (19911)Termination phase: Saturation
% 3.50/0.99
% 3.50/0.99 % (19911)Memory used [KB]: 6908
% 3.50/0.99 % (19911)Time elapsed: 0.034 s
% 3.50/0.99 % (19911)Instructions burned: 68 (million)
% 3.50/0.99 % (19911)------------------------------
% 3.50/0.99 % (19911)------------------------------
% 3.50/1.00 % (19918)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.50/1.00 % (19919)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.50/1.00 % (19864)Instruction limit reached!
% 3.50/1.00 % (19864)------------------------------
% 3.50/1.00 % (19864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/1.00 % (19864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/1.00 % (19864)Termination reason: Unknown
% 3.50/1.00 % (19864)Termination phase: Saturation
% 3.50/1.00
% 3.50/1.00 % (19864)Memory used [KB]: 2558
% 3.50/1.00 % (19864)Time elapsed: 0.420 s
% 3.50/1.00 % (19864)Instructions burned: 213 (million)
% 3.50/1.00 % (19864)------------------------------
% 3.50/1.00 % (19864)------------------------------
% 3.50/1.01 TRYING [1,4,2,1]
% 3.84/1.07 % (19916)Instruction limit reached!
% 3.84/1.07 % (19916)------------------------------
% 3.84/1.07 % (19916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.71/1.08 % (19916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.71/1.08 % (19916)Termination reason: Unknown
% 5.71/1.08 % (19916)Termination phase: Saturation
% 5.71/1.08
% 5.71/1.08 % (19916)Memory used [KB]: 6524
% 5.71/1.08 % (19916)Time elapsed: 0.217 s
% 5.71/1.08 % (19916)Instructions burned: 92 (million)
% 5.71/1.08 % (19916)------------------------------
% 5.71/1.08 % (19916)------------------------------
% 5.71/1.09 % (19920)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 5.99/1.12 % (19921)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 5.99/1.12 % (19810)Instruction limit reached!
% 5.99/1.12 % (19810)------------------------------
% 5.99/1.12 % (19810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.99/1.12 % (19810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.99/1.12 % (19810)Termination reason: Unknown
% 5.99/1.12 % (19810)Termination phase: Saturation
% 5.99/1.12
% 5.99/1.12 % (19810)Memory used [KB]: 8059
% 5.99/1.12 % (19810)Time elapsed: 0.716 s
% 5.99/1.12 % (19810)Instructions burned: 440 (million)
% 5.99/1.12 % (19810)------------------------------
% 5.99/1.12 % (19810)------------------------------
% 5.99/1.14 % (19922)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1824Mi)
% 5.99/1.14 % (19923)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9989Mi)
% 6.24/1.15 % (19852)Instruction limit reached!
% 6.24/1.15 % (19852)------------------------------
% 6.24/1.15 % (19852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.24/1.15 TRYING [3,3,2,1]
% 6.24/1.15 % (19852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.24/1.15 % (19852)Termination reason: Unknown
% 6.24/1.15 % (19852)Termination phase: Saturation
% 6.24/1.15
% 6.24/1.15 % (19852)Memory used [KB]: 7419
% 6.24/1.15 % (19852)Time elapsed: 0.613 s
% 6.24/1.15 % (19852)Instructions burned: 388 (million)
% 6.24/1.15 % (19852)------------------------------
% 6.24/1.15 % (19852)------------------------------
% 6.24/1.22 % (19924)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9707Mi)
% 6.84/1.24 % (19925)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/90Mi)
% 6.84/1.25 TRYING [2,4,2,1]
% 6.84/1.27 % (19806)Instruction limit reached!
% 6.84/1.27 % (19806)------------------------------
% 6.84/1.27 % (19806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.84/1.27 % (19806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.84/1.27 % (19806)Termination reason: Unknown
% 6.84/1.27 % (19806)Termination phase: Saturation
% 6.84/1.27
% 6.84/1.27 % (19806)Memory used [KB]: 7164
% 6.84/1.27 % (19806)Time elapsed: 0.857 s
% 6.84/1.27 % (19806)Instructions burned: 483 (million)
% 6.84/1.27 % (19806)------------------------------
% 6.84/1.27 % (19806)------------------------------
% 7.21/1.29 % (19926)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/44001Mi)
% 7.21/1.30 % (19804)Instruction limit reached!
% 7.21/1.30 % (19804)------------------------------
% 7.21/1.30 % (19804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.21/1.30 % (19804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.21/1.30 % (19804)Termination reason: Unknown
% 7.21/1.30 % (19804)Termination phase: Saturation
% 7.21/1.30
% 7.21/1.30 % (19804)Memory used [KB]: 7547
% 7.21/1.30 % (19804)Time elapsed: 0.838 s
% 7.21/1.30 % (19804)Instructions burned: 498 (million)
% 7.21/1.30 % (19804)------------------------------
% 7.21/1.30 % (19804)------------------------------
% 7.21/1.32 % (19907)First to succeed.
% 7.21/1.34 % (19807)Instruction limit reached!
% 7.21/1.34 % (19807)------------------------------
% 7.21/1.34 % (19807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.21/1.35 % (19907)Refutation found. Thanks to Tanya!
% 7.21/1.35 % SZS status Theorem for theBenchmark
% 7.21/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 7.21/1.35 % (19907)------------------------------
% 7.21/1.35 % (19907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.21/1.35 % (19907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.21/1.35 % (19907)Termination reason: Refutation
% 7.21/1.35
% 7.21/1.35 % (19907)Memory used [KB]: 2302
% 7.21/1.35 % (19907)Time elapsed: 0.616 s
% 7.21/1.35 % (19907)Instructions burned: 405 (million)
% 7.21/1.35 % (19907)------------------------------
% 7.21/1.35 % (19907)------------------------------
% 7.21/1.35 % (19779)Success in time 1.001 s
%------------------------------------------------------------------------------