TSTP Solution File: SWW100+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW100+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : n017.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 19:18:31 EDT 2022
% Result : Theorem 134.96s 17.37s
% Output : Refutation 134.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 171
% Syntax : Number of formulae : 1255 ( 114 unt; 0 def)
% Number of atoms : 3433 (1108 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 3760 (1582 ~;1950 |; 63 &)
% ( 135 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 134 ( 132 usr; 129 prp; 0-2 aty)
% Number of functors : 37 ( 37 usr; 19 con; 0-3 aty)
% Number of variables : 538 ( 516 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f226539,plain,
$false,
inference(avatar_sat_refutation,[],[f269,f278,f342,f406,f474,f479,f499,f577,f586,f599,f714,f731,f742,f747,f752,f757,f796,f805,f824,f829,f835,f837,f910,f919,f932,f955,f964,f966,f1053,f1168,f1293,f1308,f1322,f1350,f1379,f1400,f1431,f1514,f1515,f1517,f1540,f1547,f1569,f1587,f5862,f5886,f6096,f20491,f20816,f42298,f44118,f44931,f87139,f87681,f88091,f88219,f88642,f88763,f88957,f88984,f89161,f89327,f89447,f89685,f89810,f89836,f89900,f89949,f90024,f91619,f91746,f92285,f98510,f98513,f98519,f98671,f98678,f98692,f100407,f100413,f100419,f100829,f100831,f114187,f116760,f124479,f125088,f125265,f125552,f125612,f125793,f126041,f133777,f137771,f137836,f137838,f138019,f138116,f138225,f140363,f140460,f140532,f141614,f141867,f142088,f142466,f142703,f142790,f143006,f143110,f143332,f143613,f143809,f144033,f144118,f144128,f144199,f144341,f144621,f144821,f145033,f145051,f145108,f145129,f145148,f145371,f145443,f145452,f145627,f145667,f145673,f145676,f146043,f146076,f146170,f146209,f146330,f146421,f146924,f147257,f147541,f147550,f148386,f148390,f148514,f149124,f149284,f151414,f155807,f156336,f158689,f158690,f159039,f162561,f189384,f189488,f189929,f190037,f190391,f190911,f191073,f191351,f191377,f191385,f191468,f191549,f191862,f192057,f192070,f192186,f192251,f192366,f192532,f192678,f192948,f193074,f193473,f193500,f193807,f193880,f193898,f194002,f194057,f195847,f196546,f196615,f196667,f196751,f197163,f197803,f197960,f197967,f199033,f199066,f199354,f199355,f213595,f213602,f213736,f213804,f223450,f223728,f224036,f224173,f225379,f225814,f226051,f226531]) ).
fof(f226531,plain,
( spl21_46
| ~ spl21_19
| ~ spl21_54
| ~ spl21_397 ),
inference(avatar_split_clause,[],[f226530,f89103,f1232,f711,f1128]) ).
fof(f1128,plain,
( spl21_46
<=> err = lazy_impl(true,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_46])]) ).
fof(f711,plain,
( spl21_19
<=> err = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_19])]) ).
fof(f1232,plain,
( spl21_54
<=> true = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_54])]) ).
fof(f89103,plain,
( spl21_397
<=> sF11 = impl(true,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_397])]) ).
fof(f226530,plain,
( err = lazy_impl(true,sF11)
| ~ spl21_19
| ~ spl21_54
| ~ spl21_397 ),
inference(forward_demodulation,[],[f226503,f713]) ).
fof(f713,plain,
( err = sF16
| ~ spl21_19 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f226503,plain,
( lazy_impl(true,sF11) = sF16
| ~ spl21_54
| ~ spl21_397 ),
inference(superposition,[],[f239,f226498]) ).
fof(f226498,plain,
( sF11 = sF15
| ~ spl21_54
| ~ spl21_397 ),
inference(forward_demodulation,[],[f226478,f89105]) ).
fof(f89105,plain,
( sF11 = impl(true,sF11)
| ~ spl21_397 ),
inference(avatar_component_clause,[],[f89103]) ).
fof(f226478,plain,
( sF15 = impl(true,sF11)
| ~ spl21_54 ),
inference(superposition,[],[f238,f1234]) ).
fof(f1234,plain,
( true = sF14
| ~ spl21_54 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f238,plain,
impl(sF14,sF11) = sF15,
introduced(function_definition,[]) ).
fof(f239,plain,
sF16 = lazy_impl(true,sF15),
introduced(function_definition,[]) ).
fof(f226051,plain,
( spl21_84
| spl21_53
| spl21_54
| ~ spl21_903 ),
inference(avatar_split_clause,[],[f199950,f192093,f1232,f1228,f5908]) ).
fof(f5908,plain,
( spl21_84
<=> true = false1 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_84])]) ).
fof(f1228,plain,
( spl21_53
<=> false1 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_53])]) ).
fof(f192093,plain,
( spl21_903
<=> true = prop(sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_903])]) ).
fof(f199950,plain,
( true = sF14
| false1 = sF14
| true = false1
| ~ spl21_903 ),
inference(superposition,[],[f192095,f352]) ).
fof(f352,plain,
! [X0] :
( prop(X0) = false1
| false1 = X0
| true = X0 ),
inference(resolution,[],[f216,f196]) ).
fof(f196,plain,
! [X0] :
( bool(X0)
| prop(X0) = false1 ),
inference(definition_unfolding,[],[f126,f141]) ).
fof(f141,plain,
false = false1,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
false = false1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false1) ).
fof(f126,plain,
! [X0] :
( bool(X0)
| false = prop(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( false = prop(X0)
<=> ~ bool(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_false) ).
fof(f216,plain,
! [X0] :
( ~ bool(X0)
| true = X0
| false1 = X0 ),
inference(definition_unfolding,[],[f163,f141]) ).
fof(f163,plain,
! [X0] :
( true = X0
| false = X0
| ~ bool(X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( bool(X0)
<=> ( false = X0
| true = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_bool) ).
fof(f192095,plain,
( true = prop(sF14)
| ~ spl21_903 ),
inference(avatar_component_clause,[],[f192093]) ).
fof(f225814,plain,
( spl21_368
| spl21_327
| ~ spl21_19
| spl21_55 ),
inference(avatar_split_clause,[],[f225813,f1286,f711,f87376,f87712]) ).
fof(f87712,plain,
( spl21_368
<=> true = impl(false1,err) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_368])]) ).
fof(f87376,plain,
( spl21_327
<=> err = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_327])]) ).
fof(f1286,plain,
( spl21_55
<=> bool(err) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_55])]) ).
fof(f225813,plain,
( err = sF17
| true = impl(false1,err)
| ~ spl21_19
| spl21_55 ),
inference(forward_demodulation,[],[f225812,f1424]) ).
fof(f1424,plain,
( err = not1(err)
| spl21_55 ),
inference(forward_demodulation,[],[f1421,f301]) ).
fof(f301,plain,
err = lazy_impl(true,err),
inference(resolution,[],[f200,f153]) ).
fof(f153,plain,
d(err),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( d(err)
& d(false)
& d(true) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_true_err_in_d) ).
fof(f200,plain,
! [X0] :
( ~ d(X0)
| lazy_impl(true,X0) = X0 ),
inference(definition_unfolding,[],[f132,f138]) ).
fof(f138,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : phi(X3) = lazy_impl(true,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom3) ).
fof(f132,plain,
! [X0] :
( ~ d(X0)
| phi(X0) = X0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( phi(X0) = X0
& d(X0) )
| ( ~ d(X0)
& err = phi(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_phi) ).
fof(f1421,plain,
( not1(err) = lazy_impl(true,err)
| spl21_55 ),
inference(resolution,[],[f1287,f217]) ).
fof(f217,plain,
! [X0] :
( bool(X0)
| not1(X0) = lazy_impl(true,X0) ),
inference(definition_unfolding,[],[f166,f138]) ).
fof(f166,plain,
! [X0] :
( bool(X0)
| phi(X0) = not1(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( phi(X0) = not1(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ bool(X0)
=> phi(X0) = not1(X0) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X2] :
( ~ bool(X2)
=> phi(X2) = not1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom1) ).
fof(f1287,plain,
( ~ bool(err)
| spl21_55 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f225812,plain,
( not1(err) = sF17
| true = impl(false1,err)
| ~ spl21_19 ),
inference(forward_demodulation,[],[f225811,f713]) ).
fof(f225811,plain,
( true = impl(false1,err)
| not1(sF16) = sF17
| ~ spl21_19 ),
inference(forward_demodulation,[],[f18778,f713]) ).
fof(f18778,plain,
( true = impl(false1,sF16)
| not1(sF16) = sF17 ),
inference(superposition,[],[f240,f18529]) ).
fof(f18529,plain,
! [X10,X11] :
( not1(X10) = impl(X10,X11)
| true = impl(false1,X10) ),
inference(duplicate_literal_removal,[],[f18328]) ).
fof(f18328,plain,
! [X10,X11] :
( true = impl(false1,X10)
| not1(X10) = impl(X10,X11)
| true = impl(false1,X10) ),
inference(superposition,[],[f360,f435]) ).
fof(f435,plain,
! [X14,X15] :
( lazy_impl(true,X14) = impl(X14,X15)
| true = impl(false1,X14) ),
inference(resolution,[],[f203,f219]) ).
fof(f219,plain,
! [X0] :
( ~ bool(X0)
| true = impl(false1,X0) ),
inference(definition_unfolding,[],[f168,f141]) ).
fof(f168,plain,
! [X0] :
( true = impl(false,X0)
| ~ bool(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ bool(X0)
| true = impl(false,X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( bool(X0)
=> true = impl(false,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3] :
( bool(X3)
=> true = impl(false,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom3) ).
fof(f203,plain,
! [X0,X1] :
( bool(X1)
| lazy_impl(true,X1) = impl(X1,X0) ),
inference(definition_unfolding,[],[f140,f138]) ).
fof(f140,plain,
! [X0,X1] :
( bool(X1)
| phi(X1) = impl(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X1,X0] :
( phi(X1) = impl(X1,X0)
| bool(X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ~ bool(X1)
=> phi(X1) = impl(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X2] :
( ~ bool(X2)
=> impl(X2,X3) = phi(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom1) ).
fof(f360,plain,
! [X7] :
( lazy_impl(true,X7) = not1(X7)
| true = impl(false1,X7) ),
inference(resolution,[],[f217,f219]) ).
fof(f240,plain,
impl(sF16,sF11) = sF17,
introduced(function_definition,[]) ).
fof(f225379,plain,
( spl21_300
| spl21_1
| ~ spl21_46
| ~ spl21_53 ),
inference(avatar_split_clause,[],[f225378,f1228,f1128,f248,f87218]) ).
fof(f87218,plain,
( spl21_300
<=> err = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_300])]) ).
fof(f248,plain,
( spl21_1
<=> bool(sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f225378,plain,
( err = sF15
| spl21_1
| ~ spl21_46
| ~ spl21_53 ),
inference(forward_demodulation,[],[f225377,f1130]) ).
fof(f1130,plain,
( err = lazy_impl(true,sF11)
| ~ spl21_46 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f225377,plain,
( lazy_impl(true,sF11) = sF15
| spl21_1
| ~ spl21_53 ),
inference(forward_demodulation,[],[f198394,f199358]) ).
fof(f199358,plain,
( impl(false1,sF11) = sF15
| ~ spl21_53 ),
inference(superposition,[],[f238,f1230]) ).
fof(f1230,plain,
( false1 = sF14
| ~ spl21_53 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f198394,plain,
( lazy_impl(true,sF11) = impl(false1,sF11)
| spl21_1 ),
inference(resolution,[],[f249,f2474]) ).
fof(f2474,plain,
! [X30] :
( bool(X30)
| impl(false1,X30) = lazy_impl(true,X30) ),
inference(resolution,[],[f212,f227]) ).
fof(f227,plain,
bool(false1),
inference(equality_resolution,[],[f215]) ).
fof(f215,plain,
! [X0] :
( false1 != X0
| bool(X0) ),
inference(definition_unfolding,[],[f165,f141]) ).
fof(f165,plain,
! [X0] :
( false != X0
| bool(X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f212,plain,
! [X0,X1] :
( ~ bool(X0)
| bool(X1)
| impl(X0,X1) = lazy_impl(true,X1) ),
inference(definition_unfolding,[],[f155,f138]) ).
fof(f155,plain,
! [X0,X1] :
( bool(X1)
| impl(X0,X1) = phi(X1)
| ~ bool(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( ~ bool(X0)
| impl(X0,X1) = phi(X1)
| bool(X1) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( impl(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( bool(X0)
& ~ bool(X1) )
=> impl(X0,X1) = phi(X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X2,X3] :
( ( ~ bool(X3)
& bool(X2) )
=> impl(X2,X3) = phi(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom2) ).
fof(f249,plain,
( ~ bool(sF11)
| spl21_1 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f224173,plain,
( spl21_46
| ~ spl21_24
| ~ spl21_53
| ~ spl21_869 ),
inference(avatar_split_clause,[],[f224172,f190396,f1228,f749,f1128]) ).
fof(f749,plain,
( spl21_24
<=> err = lazy_impl(true,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).
fof(f190396,plain,
( spl21_869
<=> sF11 = impl(false1,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_869])]) ).
fof(f224172,plain,
( err = lazy_impl(true,sF11)
| ~ spl21_24
| ~ spl21_53
| ~ spl21_869 ),
inference(forward_demodulation,[],[f751,f214369]) ).
fof(f214369,plain,
( sF11 = sF15
| ~ spl21_53
| ~ spl21_869 ),
inference(forward_demodulation,[],[f199358,f190398]) ).
fof(f190398,plain,
( sF11 = impl(false1,sF11)
| ~ spl21_869 ),
inference(avatar_component_clause,[],[f190396]) ).
fof(f751,plain,
( err = lazy_impl(true,sF15)
| ~ spl21_24 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f224036,plain,
( ~ spl21_869
| ~ spl21_53
| spl21_381
| ~ spl21_869 ),
inference(avatar_split_clause,[],[f224035,f190396,f88027,f1228,f190396]) ).
fof(f88027,plain,
( spl21_381
<=> sF15 = impl(false1,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_381])]) ).
fof(f224035,plain,
( sF11 != impl(false1,sF11)
| ~ spl21_53
| spl21_381
| ~ spl21_869 ),
inference(forward_demodulation,[],[f88028,f214369]) ).
fof(f88028,plain,
( sF15 != impl(false1,sF15)
| spl21_381 ),
inference(avatar_component_clause,[],[f88027]) ).
fof(f223728,plain,
( spl21_33
| ~ spl21_424
| ~ spl21_586 ),
inference(avatar_split_clause,[],[f223727,f125067,f89551,f820]) ).
fof(f820,plain,
( spl21_33
<=> sF10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_33])]) ).
fof(f89551,plain,
( spl21_424
<=> ! [X7] : sF9 = impl(sF9,X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_424])]) ).
fof(f125067,plain,
( spl21_586
<=> ! [X101] : sF10 = impl(sF9,X101) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_586])]) ).
fof(f223727,plain,
( sF10 = sF9
| ~ spl21_424
| ~ spl21_586 ),
inference(forward_demodulation,[],[f125068,f89552]) ).
fof(f89552,plain,
( ! [X7] : sF9 = impl(sF9,X7)
| ~ spl21_424 ),
inference(avatar_component_clause,[],[f89551]) ).
fof(f125068,plain,
( ! [X101] : sF10 = impl(sF9,X101)
| ~ spl21_586 ),
inference(avatar_component_clause,[],[f125067]) ).
fof(f223450,plain,
( ~ spl21_524
| ~ spl21_26
| spl21_55
| spl21_171
| ~ spl21_346
| ~ spl21_400 ),
inference(avatar_split_clause,[],[f223449,f89320,f87512,f45066,f1286,f781,f100400]) ).
fof(f100400,plain,
( spl21_524
<=> forallprefers(err,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_524])]) ).
fof(f781,plain,
( spl21_26
<=> ! [X0] :
( sF9 = sF20(X0)
| bool(sF20(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).
fof(f45066,plain,
( spl21_171
<=> bool(sF20(sK0(false1,sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_171])]) ).
fof(f87512,plain,
( spl21_346
<=> true = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_346])]) ).
fof(f89320,plain,
( spl21_400
<=> ! [X26] : err = impl(sF9,X26) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_400])]) ).
fof(f223449,plain,
( ~ forallprefers(err,true)
| ~ spl21_26
| spl21_55
| spl21_171
| ~ spl21_346
| ~ spl21_400 ),
inference(forward_demodulation,[],[f223448,f301]) ).
fof(f223448,plain,
( ~ forallprefers(lazy_impl(true,err),true)
| ~ spl21_26
| spl21_55
| spl21_171
| ~ spl21_346
| ~ spl21_400 ),
inference(forward_demodulation,[],[f223447,f256]) ).
fof(f256,plain,
true = prop(false1),
inference(resolution,[],[f131,f227]) ).
fof(f131,plain,
! [X0] :
( ~ bool(X0)
| true = prop(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( bool(X0)
<=> true = prop(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_true) ).
fof(f223447,plain,
( ~ forallprefers(lazy_impl(prop(false1),err),true)
| ~ spl21_26
| spl21_55
| spl21_171
| ~ spl21_346
| ~ spl21_400 ),
inference(forward_demodulation,[],[f223446,f1426]) ).
fof(f1426,plain,
( ! [X2] : err = impl(err,X2)
| spl21_55 ),
inference(forward_demodulation,[],[f1419,f301]) ).
fof(f1419,plain,
( ! [X2] : impl(err,X2) = lazy_impl(true,err)
| spl21_55 ),
inference(resolution,[],[f1287,f203]) ).
fof(f223446,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(err,false1)),true)
| ~ spl21_26
| spl21_171
| ~ spl21_346
| ~ spl21_400 ),
inference(forward_demodulation,[],[f223445,f301]) ).
fof(f223445,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(lazy_impl(true,err),false1)),true)
| ~ spl21_26
| spl21_171
| ~ spl21_346
| ~ spl21_400 ),
inference(forward_demodulation,[],[f223370,f89321]) ).
fof(f89321,plain,
( ! [X26] : err = impl(sF9,X26)
| ~ spl21_400 ),
inference(avatar_component_clause,[],[f89320]) ).
fof(f223370,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(lazy_impl(true,impl(sF9,false1)),false1)),true)
| ~ spl21_26
| spl21_171
| ~ spl21_346 ),
inference(forward_demodulation,[],[f223316,f87514]) ).
fof(f87514,plain,
( true = sF18
| ~ spl21_346 ),
inference(avatar_component_clause,[],[f87512]) ).
fof(f223316,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(lazy_impl(true,impl(sF9,false1)),false1)),sF18)
| ~ spl21_26
| spl21_171 ),
inference(superposition,[],[f138278,f223288]) ).
fof(f223288,plain,
( sF9 = sF20(sK0(false1,sK6))
| ~ spl21_26
| spl21_171 ),
inference(resolution,[],[f782,f45067]) ).
fof(f45067,plain,
( ~ bool(sF20(sK0(false1,sK6)))
| spl21_171 ),
inference(avatar_component_clause,[],[f45066]) ).
fof(f782,plain,
( ! [X0] :
( bool(sF20(X0))
| sF9 = sF20(X0) )
| ~ spl21_26 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f138278,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),sF18),
inference(forward_demodulation,[],[f138277,f241]) ).
fof(f241,plain,
lazy_impl(sF12,sF17) = sF18,
introduced(function_definition,[]) ).
fof(f138277,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(sF12,sF17)),
inference(forward_demodulation,[],[f124874,f235]) ).
fof(f235,plain,
prop(sF11) = sF12,
introduced(function_definition,[]) ).
fof(f124874,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(prop(sF11),sF17)),
inference(forward_demodulation,[],[f124873,f240]) ).
fof(f124873,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(prop(sF11),impl(sF16,sF11))),
inference(forward_demodulation,[],[f124872,f239]) ).
fof(f124872,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(prop(sF11),impl(lazy_impl(true,sF15),sF11))),
inference(forward_demodulation,[],[f124871,f238]) ).
fof(f124871,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(prop(sF11),impl(lazy_impl(true,impl(sF14,sF11)),sF11))),
inference(forward_demodulation,[],[f124870,f286]) ).
fof(f286,plain,
sF20(sF13) = sF14,
inference(superposition,[],[f237,f244]) ).
fof(f244,plain,
! [X2] : apply(sK6,X2) = sF20(X2),
introduced(function_definition,[]) ).
fof(f237,plain,
sF14 = apply(sK6,sF13),
introduced(function_definition,[]) ).
fof(f124870,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(prop(sF11),impl(lazy_impl(true,impl(sF20(sF13),sF11)),sF11))),
inference(forward_demodulation,[],[f6508,f236]) ).
fof(f236,plain,
sK0(sF11,sK6) = sF13,
introduced(function_definition,[]) ).
fof(f6508,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(prop(sF11),impl(lazy_impl(true,impl(sF20(sK0(sF11,sK6)),sF11)),sF11))),
inference(forward_demodulation,[],[f6507,f244]) ).
fof(f6507,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(prop(sF11),impl(lazy_impl(true,impl(apply(sK6,sK0(sF11,sK6)),sF11)),sF11))),
inference(forward_demodulation,[],[f6435,f234]) ).
fof(f234,plain,
sK1(sK6) = sF11,
introduced(function_definition,[]) ).
fof(f6435,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(prop(sK1(sK6)),impl(lazy_impl(true,impl(apply(sK6,sK0(sK1(sK6),sK6)),sK1(sK6))),sK1(sK6)))),
inference(superposition,[],[f191,f244]) ).
fof(f191,plain,
! [X2,X0] : ~ forallprefers(lazy_impl(prop(X2),impl(lazy_impl(true,impl(apply(X0,sK0(X2,X0)),X2)),X2)),lazy_impl(prop(sK1(X0)),impl(lazy_impl(true,impl(apply(X0,sK0(sK1(X0),X0)),sK1(X0))),sK1(X0)))),
inference(definition_unfolding,[],[f118,f186,f186]) ).
fof(f186,plain,
! [X0,X1] : lazy_impl(prop(X1),impl(lazy_impl(true,impl(apply(X0,sK0(X1,X0)),X1)),X1)) = f6(X0,X1),
inference(definition_unfolding,[],[f135,f185]) ).
fof(f185,plain,
! [X0,X1] : f5(X1,X0) = lazy_impl(true,impl(apply(X1,sK0(X0,X1)),X0)),
inference(definition_unfolding,[],[f116,f138,f162]) ).
fof(f162,plain,
! [X2,X0,X1] : impl(apply(X1,X0),X2) = f4(X1,X0,X2),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] : impl(apply(X1,X0),X2) = f4(X1,X0,X2),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X0,X4,X6] : f4(X4,X0,X6) = impl(apply(X4,X0),X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f4) ).
fof(f116,plain,
! [X0,X1] : f5(X1,X0) = phi(f4(X1,sK0(X0,X1),X0)),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
? [X2] :
( ! [X3] : ~ forallprefers(f4(X1,X3,X0),f4(X1,X2,X0))
& phi(f4(X1,X2,X0)) = f5(X1,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
? [X2] :
( ~ ? [X3] : forallprefers(f4(X1,X3,X0),f4(X1,X2,X0))
& phi(f4(X1,X2,X0)) = f5(X1,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X6,X4] :
? [X0] :
( f5(X4,X6) = phi(f4(X4,X0,X6))
& ~ ? [X8] : forallprefers(f4(X4,X8,X6),f4(X4,X0,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f5) ).
fof(f135,plain,
! [X0,X1] : lazy_impl(prop(X1),impl(f5(X0,X1),X1)) = f6(X0,X1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] : lazy_impl(prop(X1),impl(f5(X0,X1),X1)) = f6(X0,X1),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X6] : f6(X4,X6) = lazy_impl(prop(X6),impl(f5(X4,X6),X6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f6) ).
fof(f118,plain,
! [X2,X0] : ~ forallprefers(f6(X0,X2),f6(X0,sK1(X0))),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
? [X1] :
( phi(f6(X0,X1)) = exists2(X0)
& ! [X2] : ~ forallprefers(f6(X0,X2),f6(X0,X1)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
? [X1] :
( phi(f6(X0,X1)) = exists2(X0)
& ~ ? [X2] : forallprefers(f6(X0,X2),f6(X0,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4] :
? [X6] :
( exists2(X4) = phi(f6(X4,X6))
& ~ ? [X7] : forallprefers(f6(X4,X7),f6(X4,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_exists2) ).
fof(f213804,plain,
( spl21_43
| ~ spl21_963
| spl21_44 ),
inference(avatar_split_clause,[],[f203432,f1067,f193836,f1063]) ).
fof(f1063,plain,
( spl21_43
<=> false1 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_43])]) ).
fof(f193836,plain,
( spl21_963
<=> forallprefers(not1(sF9),sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_963])]) ).
fof(f1067,plain,
( spl21_44
<=> true = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_44])]) ).
fof(f203432,plain,
( true = sF9
| ~ forallprefers(not1(sF9),sF15)
| false1 = sF9 ),
inference(superposition,[],[f197697,f28644]) ).
fof(f28644,plain,
! [X8,X9] :
( not1(X8) = impl(X8,X9)
| true = X8
| false1 = X8 ),
inference(duplicate_literal_removal,[],[f28257]) ).
fof(f28257,plain,
! [X8,X9] :
( true = X8
| false1 = X8
| false1 = X8
| not1(X8) = impl(X8,X9)
| true = X8 ),
inference(superposition,[],[f434,f359]) ).
fof(f359,plain,
! [X6] :
( not1(X6) = lazy_impl(true,X6)
| true = X6
| false1 = X6 ),
inference(resolution,[],[f217,f216]) ).
fof(f434,plain,
! [X12,X13] :
( lazy_impl(true,X12) = impl(X12,X13)
| false1 = X12
| true = X12 ),
inference(resolution,[],[f203,f216]) ).
fof(f197697,plain,
~ forallprefers(impl(sF9,sF11),sF15),
inference(forward_demodulation,[],[f197696,f238]) ).
fof(f197696,plain,
~ forallprefers(impl(sF9,sF11),impl(sF14,sF11)),
inference(forward_demodulation,[],[f196490,f286]) ).
fof(f196490,plain,
~ forallprefers(impl(sF9,sF11),impl(sF20(sF13),sF11)),
inference(superposition,[],[f3370,f236]) ).
fof(f3370,plain,
! [X0] : ~ forallprefers(impl(sF9,X0),impl(sF20(sK0(X0,sK6)),X0)),
inference(forward_demodulation,[],[f3351,f244]) ).
fof(f3351,plain,
! [X0] : ~ forallprefers(impl(sF9,X0),impl(apply(sK6,sK0(X0,sK6)),X0)),
inference(superposition,[],[f190,f232]) ).
fof(f232,plain,
sF9 = apply(sK6,sF8),
introduced(function_definition,[]) ).
fof(f190,plain,
! [X3,X0,X1] : ~ forallprefers(impl(apply(X1,X3),X0),impl(apply(X1,sK0(X0,X1)),X0)),
inference(definition_unfolding,[],[f117,f162,f162]) ).
fof(f117,plain,
! [X3,X0,X1] : ~ forallprefers(f4(X1,X3,X0),f4(X1,sK0(X0,X1),X0)),
inference(cnf_transformation,[],[f110]) ).
fof(f213736,plain,
( spl21_44
| ~ spl21_399
| spl21_43
| spl21_527 ),
inference(avatar_split_clause,[],[f210092,f104380,f1063,f89308,f1067]) ).
fof(f89308,plain,
( spl21_399
<=> true = impl(false1,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_399])]) ).
fof(f104380,plain,
( spl21_527
<=> true = lazy_impl(true,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_527])]) ).
fof(f210092,plain,
( false1 = sF9
| true != impl(false1,sF9)
| true = sF9
| spl21_527 ),
inference(superposition,[],[f104381,f2516]) ).
fof(f2516,plain,
! [X12] :
( lazy_impl(true,X12) = impl(false1,X12)
| true = X12
| false1 = X12 ),
inference(resolution,[],[f2474,f216]) ).
fof(f104381,plain,
( true != lazy_impl(true,sF9)
| spl21_527 ),
inference(avatar_component_clause,[],[f104380]) ).
fof(f213602,plain,
( ~ spl21_161
| ~ spl21_43
| spl21_931 ),
inference(avatar_split_clause,[],[f213601,f192736,f1063,f44660]) ).
fof(f44660,plain,
( spl21_161
<=> false1 = sF20(sK0(false1,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_161])]) ).
fof(f192736,plain,
( spl21_931
<=> false1 = sF20(sK0(sF9,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_931])]) ).
fof(f213601,plain,
( false1 != sF20(sK0(false1,sK6))
| ~ spl21_43
| spl21_931 ),
inference(forward_demodulation,[],[f192737,f1065]) ).
fof(f1065,plain,
( false1 = sF9
| ~ spl21_43 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f192737,plain,
( false1 != sF20(sK0(sF9,sK6))
| spl21_931 ),
inference(avatar_component_clause,[],[f192736]) ).
fof(f213595,plain,
( ~ spl21_165
| ~ spl21_43
| ~ spl21_346
| ~ spl21_931 ),
inference(avatar_split_clause,[],[f213594,f192736,f87512,f1063,f44899]) ).
fof(f44899,plain,
( spl21_165
<=> forallprefers(false1,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_165])]) ).
fof(f213594,plain,
( ~ forallprefers(false1,true)
| ~ spl21_43
| ~ spl21_346
| ~ spl21_931 ),
inference(forward_demodulation,[],[f213593,f302]) ).
fof(f302,plain,
false1 = lazy_impl(true,false1),
inference(resolution,[],[f200,f210]) ).
fof(f210,plain,
d(false1),
inference(definition_unfolding,[],[f152,f141]) ).
fof(f152,plain,
d(false),
inference(cnf_transformation,[],[f3]) ).
fof(f213593,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl21_43
| ~ spl21_346
| ~ spl21_931 ),
inference(forward_demodulation,[],[f213592,f256]) ).
fof(f213592,plain,
( ~ forallprefers(lazy_impl(prop(false1),false1),true)
| ~ spl21_43
| ~ spl21_346
| ~ spl21_931 ),
inference(forward_demodulation,[],[f213591,f287]) ).
fof(f287,plain,
false1 = impl(true,false1),
inference(resolution,[],[f147,f227]) ).
fof(f147,plain,
! [X0] :
( ~ bool(X0)
| impl(true,X0) = X0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ~ bool(X0)
| impl(true,X0) = X0 ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( bool(X0)
=> impl(true,X0) = X0 ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3] :
( bool(X3)
=> impl(true,X3) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom4) ).
fof(f213591,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(true,false1)),true)
| ~ spl21_43
| ~ spl21_346
| ~ spl21_931 ),
inference(forward_demodulation,[],[f213590,f300]) ).
fof(f300,plain,
true = lazy_impl(true,true),
inference(resolution,[],[f200,f151]) ).
fof(f151,plain,
d(true),
inference(cnf_transformation,[],[f3]) ).
fof(f213590,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(lazy_impl(true,true),false1)),true)
| ~ spl21_43
| ~ spl21_346
| ~ spl21_931 ),
inference(forward_demodulation,[],[f213517,f309]) ).
fof(f309,plain,
true = impl(false1,false1),
inference(resolution,[],[f219,f227]) ).
fof(f213517,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(lazy_impl(true,impl(false1,false1)),false1)),true)
| ~ spl21_43
| ~ spl21_346
| ~ spl21_931 ),
inference(forward_demodulation,[],[f213516,f1065]) ).
fof(f213516,plain,
( ~ forallprefers(lazy_impl(prop(sF9),impl(lazy_impl(true,impl(false1,sF9)),sF9)),true)
| ~ spl21_346
| ~ spl21_931 ),
inference(forward_demodulation,[],[f213459,f87514]) ).
fof(f213459,plain,
( ~ forallprefers(lazy_impl(prop(sF9),impl(lazy_impl(true,impl(false1,sF9)),sF9)),sF18)
| ~ spl21_931 ),
inference(superposition,[],[f138278,f192738]) ).
fof(f192738,plain,
( false1 = sF20(sK0(sF9,sK6))
| ~ spl21_931 ),
inference(avatar_component_clause,[],[f192736]) ).
fof(f199355,plain,
( spl21_53
| spl21_54
| ~ spl21_29 ),
inference(avatar_split_clause,[],[f199087,f792,f1232,f1228]) ).
fof(f792,plain,
( spl21_29
<=> bool(sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).
fof(f199087,plain,
( true = sF14
| false1 = sF14
| ~ spl21_29 ),
inference(resolution,[],[f794,f216]) ).
fof(f794,plain,
( bool(sF14)
| ~ spl21_29 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f199354,plain,
( ~ spl21_43
| ~ spl21_54 ),
inference(avatar_contradiction_clause,[],[f199351]) ).
fof(f199351,plain,
( $false
| ~ spl21_43
| ~ spl21_54 ),
inference(resolution,[],[f199110,f230]) ).
fof(f230,plain,
existsprefers(true,false1),
inference(equality_resolution,[],[f229]) ).
fof(f229,plain,
! [X1] :
( existsprefers(X1,false1)
| true != X1 ),
inference(equality_resolution,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( existsprefers(X1,X0)
| false1 != X0
| true != X1 ),
inference(definition_unfolding,[],[f175,f141]) ).
fof(f175,plain,
! [X0,X1] :
( existsprefers(X1,X0)
| false != X0
| true != X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( ( bool(X1)
| ~ d(X1)
| ~ d(X0)
| ~ bool(X0) )
& ( ~ d(X0)
| d(X1) )
& ( true != X1
| false != X0 ) )
| existsprefers(X1,X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( ( true = X1
& false = X0 )
| ( ~ bool(X1)
& d(X1)
& d(X0)
& bool(X0) )
| ( ~ d(X1)
& d(X0) ) )
=> existsprefers(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( ( true = X1
& false = X0 )
| ( ~ bool(X1)
& d(X1)
& d(X0)
& bool(X0) )
| ( ~ d(X1)
& d(X0) ) )
<=> existsprefers(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( existsprefers(X0,X1)
<=> ( ( bool(X1)
& d(X1)
& d(X0)
& ~ bool(X0) )
| ( d(X1)
& ~ d(X0) )
| ( false = X1
& true = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_existsprefers) ).
fof(f199110,plain,
( ~ existsprefers(true,false1)
| ~ spl21_43
| ~ spl21_54 ),
inference(forward_demodulation,[],[f199103,f1065]) ).
fof(f199103,plain,
( ~ existsprefers(true,sF9)
| ~ spl21_54 ),
inference(superposition,[],[f328,f1234]) ).
fof(f328,plain,
~ existsprefers(sF14,sF9),
inference(forward_demodulation,[],[f327,f285]) ).
fof(f285,plain,
sF9 = sF20(sF8),
inference(superposition,[],[f232,f244]) ).
fof(f327,plain,
~ existsprefers(sF14,sF20(sF8)),
inference(forward_demodulation,[],[f326,f231]) ).
fof(f231,plain,
sF8 = sK2(sK6),
introduced(function_definition,[]) ).
fof(f326,plain,
~ existsprefers(sF14,sF20(sK2(sK6))),
inference(forward_demodulation,[],[f314,f244]) ).
fof(f314,plain,
~ existsprefers(sF14,apply(sK6,sK2(sK6))),
inference(superposition,[],[f121,f237]) ).
fof(f121,plain,
! [X2,X0] : ~ existsprefers(apply(X0,X2),apply(X0,sK2(X0))),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
? [X1] :
( ! [X2] : ~ existsprefers(apply(X0,X2),apply(X0,X1))
& exists1(X0) = phi(apply(X0,X1)) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
? [X1] :
( ~ ? [X2] : existsprefers(apply(X0,X2),apply(X0,X1))
& exists1(X0) = phi(apply(X0,X1)) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X4] :
? [X0] :
( ~ ? [X8] : existsprefers(apply(X4,X8),apply(X4,X0))
& exists1(X4) = phi(apply(X4,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists1_axiom1) ).
fof(f199066,plain,
( spl21_24
| ~ spl21_39
| ~ spl21_388 ),
inference(avatar_split_clause,[],[f199065,f88190,f952,f749]) ).
fof(f952,plain,
( spl21_39
<=> err = lazy_impl(true,sF17) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_39])]) ).
fof(f88190,plain,
( spl21_388
<=> sF17 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_388])]) ).
fof(f199065,plain,
( err = lazy_impl(true,sF15)
| ~ spl21_39
| ~ spl21_388 ),
inference(forward_demodulation,[],[f954,f88192]) ).
fof(f88192,plain,
( sF17 = sF15
| ~ spl21_388 ),
inference(avatar_component_clause,[],[f88190]) ).
fof(f954,plain,
( err = lazy_impl(true,sF17)
| ~ spl21_39 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f199033,plain,
( spl21_300
| ~ spl21_54
| ~ spl21_299 ),
inference(avatar_split_clause,[],[f199032,f87208,f1232,f87218]) ).
fof(f87208,plain,
( spl21_299
<=> err = impl(true,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_299])]) ).
fof(f199032,plain,
( err = sF15
| ~ spl21_54
| ~ spl21_299 ),
inference(forward_demodulation,[],[f199025,f87210]) ).
fof(f87210,plain,
( err = impl(true,sF11)
| ~ spl21_299 ),
inference(avatar_component_clause,[],[f87208]) ).
fof(f199025,plain,
( sF15 = impl(true,sF11)
| ~ spl21_54 ),
inference(superposition,[],[f238,f1234]) ).
fof(f197967,plain,
( spl21_84
| ~ spl21_515
| spl21_55
| spl21_293 ),
inference(avatar_split_clause,[],[f197966,f87173,f1286,f95151,f5908]) ).
fof(f95151,plain,
( spl21_515
<=> true = lazy_impl(true,err) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_515])]) ).
fof(f87173,plain,
( spl21_293
<=> true = or1(true,err) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_293])]) ).
fof(f197966,plain,
( true != lazy_impl(true,err)
| true = false1
| spl21_55
| spl21_293 ),
inference(forward_demodulation,[],[f155818,f1417]) ).
fof(f1417,plain,
( false1 = prop(err)
| spl21_55 ),
inference(resolution,[],[f1287,f196]) ).
fof(f155818,plain,
( true = prop(err)
| true != lazy_impl(true,err)
| spl21_293 ),
inference(superposition,[],[f87174,f2413]) ).
fof(f2413,plain,
! [X0] :
( or1(true,X0) = lazy_impl(true,X0)
| true = prop(X0) ),
inference(resolution,[],[f2400,f131]) ).
fof(f2400,plain,
! [X23] :
( bool(X23)
| or1(true,X23) = lazy_impl(true,X23) ),
inference(resolution,[],[f211,f228]) ).
fof(f228,plain,
bool(true),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X0] :
( true != X0
| bool(X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f211,plain,
! [X0,X1] :
( ~ bool(X0)
| bool(X1)
| or1(X0,X1) = lazy_impl(true,X1) ),
inference(definition_unfolding,[],[f154,f138]) ).
fof(f154,plain,
! [X0,X1] :
( ~ bool(X0)
| bool(X1)
| or1(X0,X1) = phi(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( or1(X0,X1) = phi(X1)
| bool(X1)
| ~ bool(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( or1(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( bool(X0)
& ~ bool(X1) )
=> or1(X0,X1) = phi(X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X2,X3] :
( ( bool(X2)
& ~ bool(X3) )
=> phi(X3) = or1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom2) ).
fof(f87174,plain,
( true != or1(true,err)
| spl21_293 ),
inference(avatar_component_clause,[],[f87173]) ).
fof(f197960,plain,
( spl21_754
| ~ spl21_20
| ~ spl21_346 ),
inference(avatar_split_clause,[],[f197959,f87512,f724,f142504]) ).
fof(f142504,plain,
( spl21_754
<=> true = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_754])]) ).
fof(f724,plain,
( spl21_20
<=> sF18 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).
fof(f197959,plain,
( true = sF19
| ~ spl21_20
| ~ spl21_346 ),
inference(forward_demodulation,[],[f726,f87514]) ).
fof(f726,plain,
( sF18 = sF19
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f197803,plain,
( ~ spl21_733
| spl21_25
| ~ spl21_346 ),
inference(avatar_split_clause,[],[f197802,f87512,f754,f141306]) ).
fof(f141306,plain,
( spl21_733
<=> true = lazy_impl(true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_733])]) ).
fof(f754,plain,
( spl21_25
<=> lazy_impl(true,sF18) = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
fof(f197802,plain,
( true != lazy_impl(true,true)
| spl21_25
| ~ spl21_346 ),
inference(forward_demodulation,[],[f755,f87514]) ).
fof(f755,plain,
( lazy_impl(true,sF18) != sF18
| spl21_25 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f197163,plain,
( spl21_350
| ~ spl21_17
| ~ spl21_333
| ~ spl21_397 ),
inference(avatar_split_clause,[],[f197162,f89103,f87406,f634,f87533]) ).
fof(f87533,plain,
( spl21_350
<=> true = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_350])]) ).
fof(f634,plain,
( spl21_17
<=> true = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).
fof(f87406,plain,
( spl21_333
<=> true = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_333])]) ).
fof(f197162,plain,
( true = sF17
| ~ spl21_17
| ~ spl21_333
| ~ spl21_397 ),
inference(forward_demodulation,[],[f195878,f636]) ).
fof(f636,plain,
( true = sF11
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f195878,plain,
( sF11 = sF17
| ~ spl21_333
| ~ spl21_397 ),
inference(forward_demodulation,[],[f195666,f89105]) ).
fof(f195666,plain,
( sF17 = impl(true,sF11)
| ~ spl21_333 ),
inference(superposition,[],[f240,f87408]) ).
fof(f87408,plain,
( true = sF16
| ~ spl21_333 ),
inference(avatar_component_clause,[],[f87406]) ).
fof(f196751,plain,
( spl21_592
| spl21_434 ),
inference(avatar_split_clause,[],[f196452,f90132,f125122]) ).
fof(f125122,plain,
( spl21_592
<=> ! [X41,X42] : ~ forallprefers(lazy_impl(sF9,X42),impl(sF20(sK0(X41,sK6)),X41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_592])]) ).
fof(f90132,plain,
( spl21_434
<=> true = prop(sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_434])]) ).
fof(f196452,plain,
! [X14,X13] :
( true = prop(sF9)
| ~ forallprefers(lazy_impl(sF9,X14),impl(sF20(sK0(X13,sK6)),X13)) ),
inference(superposition,[],[f3370,f3094]) ).
fof(f3094,plain,
! [X10,X11,X12] :
( lazy_impl(X10,X11) = impl(X10,X12)
| true = prop(X10) ),
inference(duplicate_literal_removal,[],[f3029]) ).
fof(f3029,plain,
! [X10,X11,X12] :
( lazy_impl(X10,X11) = impl(X10,X12)
| true = prop(X10)
| true = prop(X10) ),
inference(superposition,[],[f428,f418]) ).
fof(f418,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = lazy_impl(true,X0)
| true = prop(X0) ),
inference(resolution,[],[f202,f131]) ).
fof(f202,plain,
! [X0,X1] :
( bool(X1)
| lazy_impl(X1,X0) = lazy_impl(true,X1) ),
inference(definition_unfolding,[],[f139,f138]) ).
fof(f139,plain,
! [X0,X1] :
( bool(X1)
| lazy_impl(X1,X0) = phi(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( lazy_impl(X1,X0) = phi(X1)
| bool(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( ~ bool(X1)
=> lazy_impl(X1,X0) = phi(X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X2] :
( ~ bool(X2)
=> phi(X2) = lazy_impl(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom1) ).
fof(f428,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X0)
| true = prop(X0) ),
inference(resolution,[],[f203,f131]) ).
fof(f196667,plain,
( spl21_415
| ~ spl21_453 ),
inference(avatar_split_clause,[],[f133780,f90316,f89413]) ).
fof(f89413,plain,
( spl21_415
<=> sF9 = or1(false1,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_415])]) ).
fof(f90316,plain,
( spl21_453
<=> ! [X10] : or1(false1,sF20(X10)) = sF20(X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_453])]) ).
fof(f133780,plain,
( sF9 = or1(false1,sF9)
| ~ spl21_453 ),
inference(superposition,[],[f90317,f285]) ).
fof(f90317,plain,
( ! [X10] : or1(false1,sF20(X10)) = sF20(X10)
| ~ spl21_453 ),
inference(avatar_component_clause,[],[f90316]) ).
fof(f196615,plain,
( ~ spl21_899
| ~ spl21_294
| spl21_963 ),
inference(avatar_split_clause,[],[f196614,f193836,f87177,f191844]) ).
fof(f191844,plain,
( spl21_899
<=> forallprefers(not1(sF9),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_899])]) ).
fof(f87177,plain,
( spl21_294
<=> true = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_294])]) ).
fof(f196614,plain,
( ~ forallprefers(not1(sF9),true)
| ~ spl21_294
| spl21_963 ),
inference(forward_demodulation,[],[f193838,f87178]) ).
fof(f87178,plain,
( true = sF15
| ~ spl21_294 ),
inference(avatar_component_clause,[],[f87177]) ).
fof(f193838,plain,
( ~ forallprefers(not1(sF9),sF15)
| spl21_963 ),
inference(avatar_component_clause,[],[f193836]) ).
fof(f196546,plain,
( ~ spl21_165
| ~ spl21_16
| ~ spl21_44
| ~ spl21_53 ),
inference(avatar_split_clause,[],[f196545,f1228,f1067,f630,f44899]) ).
fof(f630,plain,
( spl21_16
<=> false1 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f196545,plain,
( ~ forallprefers(false1,true)
| ~ spl21_16
| ~ spl21_44
| ~ spl21_53 ),
inference(forward_demodulation,[],[f196544,f287]) ).
fof(f196544,plain,
( ~ forallprefers(impl(true,false1),true)
| ~ spl21_16
| ~ spl21_44
| ~ spl21_53 ),
inference(forward_demodulation,[],[f196543,f1069]) ).
fof(f1069,plain,
( true = sF9
| ~ spl21_44 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f196543,plain,
( ~ forallprefers(impl(sF9,false1),true)
| ~ spl21_16
| ~ spl21_53 ),
inference(forward_demodulation,[],[f196542,f309]) ).
fof(f196542,plain,
( ~ forallprefers(impl(sF9,false1),impl(false1,false1))
| ~ spl21_16
| ~ spl21_53 ),
inference(forward_demodulation,[],[f196541,f1230]) ).
fof(f196541,plain,
( ~ forallprefers(impl(sF9,false1),impl(sF14,false1))
| ~ spl21_16 ),
inference(forward_demodulation,[],[f196540,f286]) ).
fof(f196540,plain,
( ~ forallprefers(impl(sF9,false1),impl(sF20(sF13),false1))
| ~ spl21_16 ),
inference(forward_demodulation,[],[f196490,f632]) ).
fof(f632,plain,
( false1 = sF11
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f195847,plain,
( spl21_17
| ~ spl21_352
| ~ spl21_869 ),
inference(avatar_split_clause,[],[f194393,f190396,f87543,f634]) ).
fof(f87543,plain,
( spl21_352
<=> true = impl(false1,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_352])]) ).
fof(f194393,plain,
( true = sF11
| ~ spl21_352
| ~ spl21_869 ),
inference(forward_demodulation,[],[f190398,f87545]) ).
fof(f87545,plain,
( true = impl(false1,sF11)
| ~ spl21_352 ),
inference(avatar_component_clause,[],[f87543]) ).
fof(f194057,plain,
( spl21_2
| spl21_3
| ~ spl21_127
| ~ spl21_306 ),
inference(avatar_split_clause,[],[f194056,f87252,f20814,f266,f252]) ).
fof(f252,plain,
( spl21_2
<=> true = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f266,plain,
( spl21_3
<=> false1 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f20814,plain,
( spl21_127
<=> ! [X1] : lazy_impl(true,prop(X1)) = prop(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_127])]) ).
fof(f87252,plain,
( spl21_306
<=> true = impl(false1,sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_306])]) ).
fof(f194056,plain,
( false1 = sF12
| true = sF12
| ~ spl21_127
| ~ spl21_306 ),
inference(duplicate_literal_removal,[],[f194055]) ).
fof(f194055,plain,
( true = sF12
| false1 = sF12
| true = sF12
| ~ spl21_127
| ~ spl21_306 ),
inference(forward_demodulation,[],[f99487,f87254]) ).
fof(f87254,plain,
( true = impl(false1,sF12)
| ~ spl21_306 ),
inference(avatar_component_clause,[],[f87252]) ).
fof(f99487,plain,
( impl(false1,sF12) = sF12
| false1 = sF12
| true = sF12
| ~ spl21_127 ),
inference(superposition,[],[f2516,f21450]) ).
fof(f21450,plain,
( lazy_impl(true,sF12) = sF12
| ~ spl21_127 ),
inference(superposition,[],[f20815,f235]) ).
fof(f20815,plain,
( ! [X1] : lazy_impl(true,prop(X1)) = prop(X1)
| ~ spl21_127 ),
inference(avatar_component_clause,[],[f20814]) ).
fof(f194002,plain,
( spl21_324
| spl21_294
| spl21_388
| ~ spl21_23
| ~ spl21_370 ),
inference(avatar_split_clause,[],[f194001,f87773,f738,f88190,f87177,f87361]) ).
fof(f87361,plain,
( spl21_324
<=> false1 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_324])]) ).
fof(f738,plain,
( spl21_23
<=> sF15 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
fof(f87773,plain,
( spl21_370
<=> sF15 = not1(sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_370])]) ).
fof(f194001,plain,
( sF17 = sF15
| true = sF15
| false1 = sF15
| ~ spl21_23
| ~ spl21_370 ),
inference(forward_demodulation,[],[f146324,f87775]) ).
fof(f87775,plain,
( sF15 = not1(sF15)
| ~ spl21_370 ),
inference(avatar_component_clause,[],[f87773]) ).
fof(f146324,plain,
( sF17 = not1(sF15)
| false1 = sF15
| true = sF15
| ~ spl21_23 ),
inference(forward_demodulation,[],[f145789,f740]) ).
fof(f740,plain,
( sF15 = sF16
| ~ spl21_23 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f145789,plain,
( not1(sF16) = sF17
| false1 = sF15
| true = sF15
| ~ spl21_23 ),
inference(forward_demodulation,[],[f145788,f740]) ).
fof(f145788,plain,
( false1 = sF15
| true = sF16
| not1(sF16) = sF17
| ~ spl21_23 ),
inference(forward_demodulation,[],[f42063,f740]) ).
fof(f42063,plain,
( false1 = sF16
| true = sF16
| not1(sF16) = sF17 ),
inference(superposition,[],[f240,f28644]) ).
fof(f193898,plain,
( ~ spl21_17
| ~ spl21_352
| spl21_869 ),
inference(avatar_split_clause,[],[f193897,f190396,f87543,f634]) ).
fof(f193897,plain,
( true != sF11
| ~ spl21_352
| spl21_869 ),
inference(forward_demodulation,[],[f190397,f87545]) ).
fof(f190397,plain,
( sF11 != impl(false1,sF11)
| spl21_869 ),
inference(avatar_component_clause,[],[f190396]) ).
fof(f193880,plain,
( spl21_32
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f91092,f335,f816]) ).
fof(f816,plain,
( spl21_32
<=> ! [X0] : d(sF20(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_32])]) ).
fof(f335,plain,
( spl21_4
<=> d(sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f91092,plain,
! [X0] :
( ~ d(sF9)
| d(sF20(X0)) ),
inference(forward_demodulation,[],[f1962,f232]) ).
fof(f1962,plain,
! [X0] :
( ~ d(apply(sK6,sF8))
| d(sF20(X0)) ),
inference(forward_demodulation,[],[f1956,f244]) ).
fof(f1956,plain,
! [X0] :
( d(apply(sK6,X0))
| ~ d(apply(sK6,sF8)) ),
inference(superposition,[],[f312,f231]) ).
fof(f312,plain,
! [X0,X1] :
( ~ d(apply(X0,sK2(X0)))
| d(apply(X0,X1)) ),
inference(resolution,[],[f121,f174]) ).
fof(f174,plain,
! [X0,X1] :
( existsprefers(X1,X0)
| d(X1)
| ~ d(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f193807,plain,
( ~ spl21_4
| ~ spl21_27
| spl21_29
| ~ spl21_5 ),
inference(avatar_split_clause,[],[f1106,f339,f792,f784,f335]) ).
fof(f784,plain,
( spl21_27
<=> bool(sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_27])]) ).
fof(f339,plain,
( spl21_5
<=> d(sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f1106,plain,
( ~ d(sF14)
| bool(sF14)
| ~ bool(sF9)
| ~ d(sF9) ),
inference(resolution,[],[f173,f328]) ).
fof(f173,plain,
! [X0,X1] :
( existsprefers(X1,X0)
| ~ d(X1)
| bool(X1)
| ~ bool(X0)
| ~ d(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f193500,plain,
( ~ spl21_524
| ~ spl21_398
| spl21_899 ),
inference(avatar_split_clause,[],[f193499,f191844,f89304,f100400]) ).
fof(f89304,plain,
( spl21_398
<=> err = not1(sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_398])]) ).
fof(f193499,plain,
( ~ forallprefers(err,true)
| ~ spl21_398
| spl21_899 ),
inference(forward_demodulation,[],[f191846,f89306]) ).
fof(f89306,plain,
( err = not1(sF9)
| ~ spl21_398 ),
inference(avatar_component_clause,[],[f89304]) ).
fof(f191846,plain,
( ~ forallprefers(not1(sF9),true)
| spl21_899 ),
inference(avatar_component_clause,[],[f191844]) ).
fof(f193473,plain,
( spl21_33
| spl21_416
| ~ spl21_415 ),
inference(avatar_split_clause,[],[f193472,f89413,f89420,f820]) ).
fof(f89420,plain,
( spl21_416
<=> true = or1(true,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_416])]) ).
fof(f193472,plain,
( true = or1(true,sF9)
| sF10 = sF9
| ~ spl21_415 ),
inference(forward_demodulation,[],[f127485,f233]) ).
fof(f233,plain,
sF10 = lazy_impl(true,sF9),
introduced(function_definition,[]) ).
fof(f127485,plain,
( sF9 = lazy_impl(true,sF9)
| true = or1(true,sF9)
| ~ spl21_415 ),
inference(superposition,[],[f89415,f2443]) ).
fof(f2443,plain,
! [X3] :
( lazy_impl(true,X3) = or1(false1,X3)
| true = or1(true,X3) ),
inference(resolution,[],[f2402,f176]) ).
fof(f176,plain,
! [X0] :
( ~ bool(X0)
| true = or1(true,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( true = or1(true,X0)
| ~ bool(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( bool(X0)
=> true = or1(true,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X3] :
( bool(X3)
=> true = or1(true,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom3) ).
fof(f2402,plain,
! [X26] :
( bool(X26)
| lazy_impl(true,X26) = or1(false1,X26) ),
inference(resolution,[],[f211,f227]) ).
fof(f89415,plain,
( sF9 = or1(false1,sF9)
| ~ spl21_415 ),
inference(avatar_component_clause,[],[f89413]) ).
fof(f193074,plain,
( spl21_27
| ~ spl21_424
| ~ spl21_868 ),
inference(avatar_split_clause,[],[f193073,f190388,f89551,f784]) ).
fof(f190388,plain,
( spl21_868
<=> bool(impl(sF9,sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_868])]) ).
fof(f193073,plain,
( bool(sF9)
| ~ spl21_424
| ~ spl21_868 ),
inference(forward_demodulation,[],[f190390,f89552]) ).
fof(f190390,plain,
( bool(impl(sF9,sF11))
| ~ spl21_868 ),
inference(avatar_component_clause,[],[f190388]) ).
fof(f192948,plain,
( spl21_42
| spl21_903
| ~ spl21_10
| ~ spl21_32
| ~ spl21_37
| ~ spl21_401 ),
inference(avatar_split_clause,[],[f192500,f89325,f908,f816,f468,f192093,f1050]) ).
fof(f1050,plain,
( spl21_42
<=> sF9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_42])]) ).
fof(f468,plain,
( spl21_10
<=> ! [X0] : d(lazy_impl(prop(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f908,plain,
( spl21_37
<=> ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_37])]) ).
fof(f89325,plain,
( spl21_401
<=> ! [X0] :
( true = prop(sF20(X0))
| sF9 = sF20(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_401])]) ).
fof(f192500,plain,
( true = prop(sF14)
| sF9 = sF14
| ~ spl21_10
| ~ spl21_32
| ~ spl21_37
| ~ spl21_401 ),
inference(forward_demodulation,[],[f187007,f133601]) ).
fof(f133601,plain,
( lazy_impl(true,sF14) = sF14
| ~ spl21_32 ),
inference(superposition,[],[f126554,f286]) ).
fof(f126554,plain,
( ! [X0] : sF20(X0) = lazy_impl(true,sF20(X0))
| ~ spl21_32 ),
inference(resolution,[],[f817,f200]) ).
fof(f817,plain,
( ! [X0] : d(sF20(X0))
| ~ spl21_32 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f187007,plain,
( sF9 = sF14
| true = prop(lazy_impl(true,sF14))
| ~ spl21_10
| ~ spl21_37
| ~ spl21_401 ),
inference(superposition,[],[f105020,f286]) ).
fof(f105020,plain,
( ! [X23] :
( true = prop(lazy_impl(true,sF20(X23)))
| sF9 = sF20(X23) )
| ~ spl21_10
| ~ spl21_37
| ~ spl21_401 ),
inference(superposition,[],[f2153,f89326]) ).
fof(f89326,plain,
( ! [X0] :
( true = prop(sF20(X0))
| sF9 = sF20(X0) )
| ~ spl21_401 ),
inference(avatar_component_clause,[],[f89325]) ).
fof(f2153,plain,
( ! [X0] : true = prop(lazy_impl(prop(X0),X0))
| ~ spl21_10
| ~ spl21_37 ),
inference(resolution,[],[f2122,f131]) ).
fof(f2122,plain,
( ! [X0] : bool(lazy_impl(prop(X0),X0))
| ~ spl21_10
| ~ spl21_37 ),
inference(resolution,[],[f909,f469]) ).
fof(f469,plain,
( ! [X0] : d(lazy_impl(prop(X0),X0))
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f909,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) )
| ~ spl21_37 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f192678,plain,
( ~ spl21_4
| ~ spl21_424
| spl21_867 ),
inference(avatar_split_clause,[],[f192677,f190384,f89551,f335]) ).
fof(f190384,plain,
( spl21_867
<=> d(impl(sF9,sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_867])]) ).
fof(f192677,plain,
( ~ d(sF9)
| ~ spl21_424
| spl21_867 ),
inference(forward_demodulation,[],[f190386,f89552]) ).
fof(f190386,plain,
( ~ d(impl(sF9,sF11))
| spl21_867 ),
inference(avatar_component_clause,[],[f190384]) ).
fof(f192532,plain,
( spl21_397
| spl21_46 ),
inference(avatar_split_clause,[],[f152692,f1128,f89103]) ).
fof(f152692,plain,
( sF11 = impl(true,sF11)
| spl21_46 ),
inference(trivial_inequality_removal,[],[f152642]) ).
fof(f152642,plain,
( err != err
| sF11 = impl(true,sF11)
| spl21_46 ),
inference(superposition,[],[f1129,f25953]) ).
fof(f25953,plain,
! [X0] :
( err = lazy_impl(true,X0)
| impl(true,X0) = X0 ),
inference(duplicate_literal_removal,[],[f25738]) ).
fof(f25738,plain,
! [X0] :
( err = lazy_impl(true,X0)
| impl(true,X0) = X0
| impl(true,X0) = X0 ),
inference(superposition,[],[f2486,f198]) ).
fof(f198,plain,
! [X0] :
( lazy_impl(true,X0) = X0
| err = lazy_impl(true,X0) ),
inference(definition_unfolding,[],[f134,f138,f138]) ).
fof(f134,plain,
! [X0] :
( err = phi(X0)
| phi(X0) = X0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f2486,plain,
! [X1] :
( lazy_impl(true,X1) = impl(true,X1)
| impl(true,X1) = X1 ),
inference(resolution,[],[f2472,f147]) ).
fof(f2472,plain,
! [X27] :
( bool(X27)
| lazy_impl(true,X27) = impl(true,X27) ),
inference(resolution,[],[f212,f228]) ).
fof(f1129,plain,
( err != lazy_impl(true,sF11)
| spl21_46 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f192366,plain,
( spl21_903
| ~ spl21_459 ),
inference(avatar_split_clause,[],[f159042,f90366,f192093]) ).
fof(f90366,plain,
( spl21_459
<=> ! [X11] : true = prop(sF20(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_459])]) ).
fof(f159042,plain,
( true = prop(sF14)
| ~ spl21_459 ),
inference(superposition,[],[f90367,f286]) ).
fof(f90367,plain,
( ! [X11] : true = prop(sF20(X11))
| ~ spl21_459 ),
inference(avatar_component_clause,[],[f90366]) ).
fof(f192251,plain,
( spl21_397
| spl21_299 ),
inference(avatar_split_clause,[],[f154930,f87208,f89103]) ).
fof(f154930,plain,
( sF11 = impl(true,sF11)
| spl21_299 ),
inference(trivial_inequality_removal,[],[f154897]) ).
fof(f154897,plain,
( sF11 = impl(true,sF11)
| err != err
| spl21_299 ),
inference(superposition,[],[f87209,f25982]) ).
fof(f25982,plain,
! [X1] :
( err = impl(true,X1)
| impl(true,X1) = X1 ),
inference(duplicate_literal_removal,[],[f25805]) ).
fof(f25805,plain,
! [X1] :
( err = impl(true,X1)
| impl(true,X1) = X1
| impl(true,X1) = X1 ),
inference(superposition,[],[f198,f2486]) ).
fof(f87209,plain,
( err != impl(true,sF11)
| spl21_299 ),
inference(avatar_component_clause,[],[f87208]) ).
fof(f192186,plain,
( spl21_434
| ~ spl21_459 ),
inference(avatar_split_clause,[],[f159041,f90366,f90132]) ).
fof(f159041,plain,
( true = prop(sF9)
| ~ spl21_459 ),
inference(superposition,[],[f90367,f285]) ).
fof(f192070,plain,
( spl21_17
| spl21_869
| spl21_16
| ~ spl21_51 ),
inference(avatar_split_clause,[],[f152867,f1161,f630,f190396,f634]) ).
fof(f1161,plain,
( spl21_51
<=> sF11 = lazy_impl(true,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_51])]) ).
fof(f152867,plain,
( false1 = sF11
| sF11 = impl(false1,sF11)
| true = sF11
| ~ spl21_51 ),
inference(superposition,[],[f2516,f1163]) ).
fof(f1163,plain,
( sF11 = lazy_impl(true,sF11)
| ~ spl21_51 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f192057,plain,
( spl21_607
| spl21_43
| spl21_44
| ~ spl21_424
| ~ spl21_592 ),
inference(avatar_split_clause,[],[f192056,f125122,f89551,f1067,f1063,f125411]) ).
fof(f125411,plain,
( spl21_607
<=> ! [X68] : ~ forallprefers(sF9,impl(sF20(sK0(X68,sK6)),X68)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_607])]) ).
fof(f192056,plain,
( ! [X107] :
( true = sF9
| false1 = sF9
| ~ forallprefers(sF9,impl(sF20(sK0(X107,sK6)),X107)) )
| ~ spl21_424
| ~ spl21_592 ),
inference(forward_demodulation,[],[f181292,f89552]) ).
fof(f181292,plain,
( ! [X106,X107] :
( true = sF9
| ~ forallprefers(impl(sF9,X106),impl(sF20(sK0(X107,sK6)),X107))
| false1 = sF9 )
| ~ spl21_592 ),
inference(superposition,[],[f125123,f28643]) ).
fof(f28643,plain,
! [X31,X32,X30] :
( impl(X30,X31) = lazy_impl(X30,X32)
| false1 = X30
| true = X30 ),
inference(duplicate_literal_removal,[],[f28395]) ).
fof(f28395,plain,
! [X31,X32,X30] :
( true = X30
| impl(X30,X31) = lazy_impl(X30,X32)
| false1 = X30
| true = X30
| false1 = X30 ),
inference(superposition,[],[f424,f434]) ).
fof(f424,plain,
! [X12,X13] :
( lazy_impl(true,X12) = lazy_impl(X12,X13)
| true = X12
| false1 = X12 ),
inference(resolution,[],[f202,f216]) ).
fof(f125123,plain,
( ! [X41,X42] : ~ forallprefers(lazy_impl(sF9,X42),impl(sF20(sK0(X41,sK6)),X41))
| ~ spl21_592 ),
inference(avatar_component_clause,[],[f125122]) ).
fof(f191862,plain,
( ~ spl21_528
| ~ spl21_754 ),
inference(avatar_split_clause,[],[f150175,f142504,f104470]) ).
fof(f104470,plain,
( spl21_528
<=> true = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_528])]) ).
fof(f150175,plain,
( true != sF10
| ~ spl21_754 ),
inference(superposition,[],[f243,f142505]) ).
fof(f142505,plain,
( true = sF19
| ~ spl21_754 ),
inference(avatar_component_clause,[],[f142504]) ).
fof(f243,plain,
sF10 != sF19,
inference(definition_folding,[],[f220,f242,f241,f240,f234,f239,f238,f234,f237,f236,f234,f235,f234,f233,f232,f231]) ).
fof(f242,plain,
lazy_impl(true,sF18) = sF19,
introduced(function_definition,[]) ).
fof(f220,plain,
lazy_impl(true,apply(sK6,sK2(sK6))) != lazy_impl(true,lazy_impl(prop(sK1(sK6)),impl(lazy_impl(true,impl(apply(sK6,sK0(sK1(sK6),sK6)),sK1(sK6))),sK1(sK6)))),
inference(definition_unfolding,[],[f172,f187,f184]) ).
fof(f184,plain,
! [X0] : exists1(X0) = lazy_impl(true,apply(X0,sK2(X0))),
inference(definition_unfolding,[],[f120,f138]) ).
fof(f120,plain,
! [X0] : phi(apply(X0,sK2(X0))) = exists1(X0),
inference(cnf_transformation,[],[f104]) ).
fof(f187,plain,
! [X0] : lazy_impl(true,lazy_impl(prop(sK1(X0)),impl(lazy_impl(true,impl(apply(X0,sK0(sK1(X0),X0)),sK1(X0))),sK1(X0)))) = exists2(X0),
inference(definition_unfolding,[],[f119,f138,f186]) ).
fof(f119,plain,
! [X0] : phi(f6(X0,sK1(X0))) = exists2(X0),
inference(cnf_transformation,[],[f102]) ).
fof(f172,plain,
exists2(sK6) != exists1(sK6),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
? [X0] :
( ! [X2,X1] :
( bool(apply(X0,X1))
| apply(X0,X2) = apply(X0,X1)
| bool(apply(X0,X2)) )
& exists1(X0) != exists2(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
? [X0] :
( exists1(X0) != exists2(X0)
& ! [X2,X1] :
( apply(X0,X2) = apply(X0,X1)
| bool(apply(X0,X1))
| bool(apply(X0,X2)) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
~ ! [X0] :
( ! [X2,X1] :
( ( ~ bool(apply(X0,X1))
& ~ bool(apply(X0,X2)) )
=> apply(X0,X2) = apply(X0,X1) )
=> exists1(X0) = exists2(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,negated_conjecture,
~ ! [X4] :
( ! [X8,X10] :
( ( ~ bool(apply(X4,X10))
& ~ bool(apply(X4,X8)) )
=> apply(X4,X8) = apply(X4,X10) )
=> exists1(X4) = exists2(X4) ),
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
! [X4] :
( ! [X8,X10] :
( ( ~ bool(apply(X4,X10))
& ~ bool(apply(X4,X8)) )
=> apply(X4,X8) = apply(X4,X10) )
=> exists1(X4) = exists2(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists1_exists2) ).
fof(f191549,plain,
( spl21_84
| spl21_869
| ~ spl21_3
| ~ spl21_51 ),
inference(avatar_split_clause,[],[f191548,f1161,f266,f190396,f5908]) ).
fof(f191548,plain,
( sF11 = impl(false1,sF11)
| true = false1
| ~ spl21_3
| ~ spl21_51 ),
inference(forward_demodulation,[],[f191547,f267]) ).
fof(f267,plain,
( false1 = sF12
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f191547,plain,
( true = sF12
| sF11 = impl(false1,sF11)
| ~ spl21_51 ),
inference(forward_demodulation,[],[f152865,f235]) ).
fof(f152865,plain,
( sF11 = impl(false1,sF11)
| true = prop(sF11)
| ~ spl21_51 ),
inference(superposition,[],[f2507,f1163]) ).
fof(f2507,plain,
! [X0] :
( impl(false1,X0) = lazy_impl(true,X0)
| true = prop(X0) ),
inference(resolution,[],[f2474,f131]) ).
fof(f191468,plain,
( spl21_527
| spl21_43
| spl21_44
| ~ spl21_416 ),
inference(avatar_split_clause,[],[f155916,f89420,f1067,f1063,f104380]) ).
fof(f155916,plain,
( true = sF9
| false1 = sF9
| true = lazy_impl(true,sF9)
| ~ spl21_416 ),
inference(superposition,[],[f2421,f89422]) ).
fof(f89422,plain,
( true = or1(true,sF9)
| ~ spl21_416 ),
inference(avatar_component_clause,[],[f89420]) ).
fof(f2421,plain,
! [X10] :
( or1(true,X10) = lazy_impl(true,X10)
| true = X10
| false1 = X10 ),
inference(resolution,[],[f2400,f216]) ).
fof(f191385,plain,
( spl21_350
| spl21_327
| spl21_358
| ~ spl21_39
| ~ spl21_392 ),
inference(avatar_split_clause,[],[f191384,f88348,f952,f87597,f87376,f87533]) ).
fof(f87597,plain,
( spl21_358
<=> false1 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_358])]) ).
fof(f88348,plain,
( spl21_392
<=> sF17 = or1(false1,sF17) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_392])]) ).
fof(f191384,plain,
( false1 = sF17
| err = sF17
| true = sF17
| ~ spl21_39
| ~ spl21_392 ),
inference(forward_demodulation,[],[f98094,f954]) ).
fof(f98094,plain,
( true = sF17
| sF17 = lazy_impl(true,sF17)
| false1 = sF17
| ~ spl21_392 ),
inference(superposition,[],[f88350,f2448]) ).
fof(f2448,plain,
! [X10] :
( or1(false1,X10) = lazy_impl(true,X10)
| true = X10
| false1 = X10 ),
inference(resolution,[],[f2402,f216]) ).
fof(f88350,plain,
( sF17 = or1(false1,sF17)
| ~ spl21_392 ),
inference(avatar_component_clause,[],[f88348]) ).
fof(f191377,plain,
( spl21_43
| spl21_84
| spl21_44
| ~ spl21_434 ),
inference(avatar_split_clause,[],[f152164,f90132,f1067,f5908,f1063]) ).
fof(f152164,plain,
( true = sF9
| true = false1
| false1 = sF9
| ~ spl21_434 ),
inference(superposition,[],[f90134,f352]) ).
fof(f90134,plain,
( true = prop(sF9)
| ~ spl21_434 ),
inference(avatar_component_clause,[],[f90132]) ).
fof(f191351,plain,
( spl21_358
| spl21_318
| spl21_350
| ~ spl21_25
| ~ spl21_38 ),
inference(avatar_split_clause,[],[f191350,f948,f754,f87533,f87327,f87597]) ).
fof(f87327,plain,
( spl21_318
<=> ! [X193] : impl(sF17,X193) = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_318])]) ).
fof(f948,plain,
( spl21_38
<=> sF17 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_38])]) ).
fof(f191350,plain,
( ! [X14] :
( true = sF17
| sF17 = impl(sF17,X14)
| false1 = sF17 )
| ~ spl21_25
| ~ spl21_38 ),
inference(forward_demodulation,[],[f191349,f950]) ).
fof(f950,plain,
( sF17 = sF18
| ~ spl21_38 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f191349,plain,
( ! [X14] :
( sF17 = impl(sF17,X14)
| false1 = sF17
| true = sF18 )
| ~ spl21_25
| ~ spl21_38 ),
inference(forward_demodulation,[],[f190265,f950]) ).
fof(f190265,plain,
( ! [X14] :
( false1 = sF18
| sF17 = impl(sF17,X14)
| true = sF18 )
| ~ spl21_25
| ~ spl21_38 ),
inference(forward_demodulation,[],[f150060,f950]) ).
fof(f150060,plain,
( ! [X14] :
( impl(sF18,X14) = sF18
| false1 = sF18
| true = sF18 )
| ~ spl21_25 ),
inference(superposition,[],[f434,f756]) ).
fof(f756,plain,
( lazy_impl(true,sF18) = sF18
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f191073,plain,
( spl21_27
| ~ spl21_434 ),
inference(avatar_split_clause,[],[f152329,f90132,f784]) ).
fof(f152329,plain,
( bool(sF9)
| ~ spl21_434 ),
inference(trivial_inequality_removal,[],[f152166]) ).
fof(f152166,plain,
( true != true
| bool(sF9)
| ~ spl21_434 ),
inference(superposition,[],[f130,f90134]) ).
fof(f130,plain,
! [X0] :
( true != prop(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f190911,plain,
( spl21_17
| spl21_16
| spl21_62
| ~ spl21_397 ),
inference(avatar_split_clause,[],[f155381,f89103,f1704,f630,f634]) ).
fof(f1704,plain,
( spl21_62
<=> sF11 = not1(sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_62])]) ).
fof(f155381,plain,
( sF11 = not1(sF11)
| false1 = sF11
| true = sF11
| ~ spl21_397 ),
inference(superposition,[],[f89105,f62609]) ).
fof(f62609,plain,
! [X4] :
( impl(true,X4) = not1(X4)
| true = X4
| false1 = X4 ),
inference(duplicate_literal_removal,[],[f62298]) ).
fof(f62298,plain,
! [X4] :
( true = X4
| true = X4
| false1 = X4
| false1 = X4
| impl(true,X4) = not1(X4) ),
inference(superposition,[],[f2494,f359]) ).
fof(f2494,plain,
! [X12] :
( lazy_impl(true,X12) = impl(true,X12)
| false1 = X12
| true = X12 ),
inference(resolution,[],[f2472,f216]) ).
fof(f190391,plain,
( ~ spl21_867
| spl21_868
| ~ spl21_799 ),
inference(avatar_split_clause,[],[f181059,f145441,f190388,f190384]) ).
fof(f145441,plain,
( spl21_799
<=> ! [X0] :
( bool(impl(sF20(X0),sF11))
| ~ d(impl(sF20(X0),sF11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_799])]) ).
fof(f181059,plain,
( bool(impl(sF9,sF11))
| ~ d(impl(sF9,sF11))
| ~ spl21_799 ),
inference(superposition,[],[f145442,f285]) ).
fof(f145442,plain,
( ! [X0] :
( ~ d(impl(sF20(X0),sF11))
| bool(impl(sF20(X0),sF11)) )
| ~ spl21_799 ),
inference(avatar_component_clause,[],[f145441]) ).
fof(f190037,plain,
( spl21_294
| ~ spl21_53
| ~ spl21_352 ),
inference(avatar_split_clause,[],[f190036,f87543,f1228,f87177]) ).
fof(f190036,plain,
( true = sF15
| ~ spl21_53
| ~ spl21_352 ),
inference(forward_demodulation,[],[f149722,f87545]) ).
fof(f149722,plain,
( impl(false1,sF11) = sF15
| ~ spl21_53 ),
inference(superposition,[],[f238,f1230]) ).
fof(f189929,plain,
( spl21_389
| spl21_330
| ~ spl21_18 ),
inference(avatar_split_clause,[],[f148804,f707,f87393,f88198]) ).
fof(f88198,plain,
( spl21_389
<=> ! [X90] : sF15 = impl(sF15,X90) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_389])]) ).
fof(f87393,plain,
( spl21_330
<=> true = or1(true,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_330])]) ).
fof(f707,plain,
( spl21_18
<=> sF15 = lazy_impl(true,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).
fof(f148804,plain,
( ! [X11] :
( true = or1(true,sF15)
| impl(sF15,X11) = sF15 )
| ~ spl21_18 ),
inference(superposition,[],[f431,f709]) ).
fof(f709,plain,
( sF15 = lazy_impl(true,sF15)
| ~ spl21_18 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f431,plain,
! [X6,X7] :
( impl(X6,X7) = lazy_impl(true,X6)
| true = or1(true,X6) ),
inference(resolution,[],[f203,f176]) ).
fof(f189488,plain,
( ~ spl21_32
| spl21_171
| ~ spl21_758 ),
inference(avatar_contradiction_clause,[],[f189407]) ).
fof(f189407,plain,
( $false
| ~ spl21_32
| spl21_171
| ~ spl21_758 ),
inference(resolution,[],[f45067,f159012]) ).
fof(f159012,plain,
( ! [X0] : bool(sF20(X0))
| ~ spl21_32
| ~ spl21_758 ),
inference(resolution,[],[f142702,f817]) ).
fof(f142702,plain,
( ! [X2] :
( ~ d(sF20(X2))
| bool(sF20(X2)) )
| ~ spl21_758 ),
inference(avatar_component_clause,[],[f142701]) ).
fof(f142701,plain,
( spl21_758
<=> ! [X2] :
( ~ d(sF20(X2))
| bool(sF20(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_758])]) ).
fof(f189384,plain,
( ~ spl21_165
| ~ spl21_38
| ~ spl21_43
| ~ spl21_161
| ~ spl21_173
| ~ spl21_350
| ~ spl21_434 ),
inference(avatar_split_clause,[],[f189383,f90132,f87533,f45222,f44660,f1063,f948,f44899]) ).
fof(f45222,plain,
( spl21_173
<=> ! [X1] : d(impl(sF20(X1),false1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_173])]) ).
fof(f189383,plain,
( ~ forallprefers(false1,true)
| ~ spl21_38
| ~ spl21_43
| ~ spl21_161
| ~ spl21_173
| ~ spl21_350
| ~ spl21_434 ),
inference(forward_demodulation,[],[f189382,f302]) ).
fof(f189382,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl21_38
| ~ spl21_43
| ~ spl21_161
| ~ spl21_173
| ~ spl21_350
| ~ spl21_434 ),
inference(forward_demodulation,[],[f189381,f287]) ).
fof(f189381,plain,
( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
| ~ spl21_38
| ~ spl21_43
| ~ spl21_161
| ~ spl21_173
| ~ spl21_350
| ~ spl21_434 ),
inference(forward_demodulation,[],[f189380,f309]) ).
fof(f189380,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,false1),false1)),true)
| ~ spl21_38
| ~ spl21_43
| ~ spl21_161
| ~ spl21_173
| ~ spl21_350
| ~ spl21_434 ),
inference(forward_demodulation,[],[f189379,f44662]) ).
fof(f44662,plain,
( false1 = sF20(sK0(false1,sK6))
| ~ spl21_161 ),
inference(avatar_component_clause,[],[f44660]) ).
fof(f189379,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(sF20(sK0(false1,sK6)),false1),false1)),true)
| ~ spl21_38
| ~ spl21_43
| ~ spl21_173
| ~ spl21_350
| ~ spl21_434 ),
inference(forward_demodulation,[],[f152401,f158767]) ).
fof(f158767,plain,
( ! [X1] : lazy_impl(true,impl(sF20(X1),false1)) = impl(sF20(X1),false1)
| ~ spl21_173 ),
inference(resolution,[],[f45223,f200]) ).
fof(f45223,plain,
( ! [X1] : d(impl(sF20(X1),false1))
| ~ spl21_173 ),
inference(avatar_component_clause,[],[f45222]) ).
fof(f152401,plain,
( ~ forallprefers(lazy_impl(true,impl(lazy_impl(true,impl(sF20(sK0(false1,sK6)),false1)),false1)),true)
| ~ spl21_38
| ~ spl21_43
| ~ spl21_350
| ~ spl21_434 ),
inference(forward_demodulation,[],[f152400,f1065]) ).
fof(f152400,plain,
( ~ forallprefers(lazy_impl(true,impl(lazy_impl(true,impl(sF20(sK0(sF9,sK6)),sF9)),sF9)),true)
| ~ spl21_38
| ~ spl21_350
| ~ spl21_434 ),
inference(forward_demodulation,[],[f152399,f87534]) ).
fof(f87534,plain,
( true = sF17
| ~ spl21_350 ),
inference(avatar_component_clause,[],[f87533]) ).
fof(f152399,plain,
( ~ forallprefers(lazy_impl(true,impl(lazy_impl(true,impl(sF20(sK0(sF9,sK6)),sF9)),sF9)),sF17)
| ~ spl21_38
| ~ spl21_434 ),
inference(forward_demodulation,[],[f152328,f950]) ).
fof(f152328,plain,
( ~ forallprefers(lazy_impl(true,impl(lazy_impl(true,impl(sF20(sK0(sF9,sK6)),sF9)),sF9)),sF18)
| ~ spl21_434 ),
inference(superposition,[],[f138278,f90134]) ).
fof(f162561,plain,
( ~ spl21_43
| ~ spl21_160 ),
inference(avatar_contradiction_clause,[],[f162558]) ).
fof(f162558,plain,
( $false
| ~ spl21_43
| ~ spl21_160 ),
inference(resolution,[],[f162519,f230]) ).
fof(f162519,plain,
( ~ existsprefers(true,false1)
| ~ spl21_43
| ~ spl21_160 ),
inference(superposition,[],[f149633,f44657]) ).
fof(f44657,plain,
( true = sF20(sK0(false1,sK6))
| ~ spl21_160 ),
inference(avatar_component_clause,[],[f44655]) ).
fof(f44655,plain,
( spl21_160
<=> true = sF20(sK0(false1,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_160])]) ).
fof(f149633,plain,
( ! [X0] : ~ existsprefers(sF20(X0),false1)
| ~ spl21_43 ),
inference(superposition,[],[f319,f1065]) ).
fof(f319,plain,
! [X0] : ~ existsprefers(sF20(X0),sF9),
inference(forward_demodulation,[],[f318,f244]) ).
fof(f318,plain,
! [X0] : ~ existsprefers(apply(sK6,X0),sF9),
inference(forward_demodulation,[],[f316,f232]) ).
fof(f316,plain,
! [X0] : ~ existsprefers(apply(sK6,X0),apply(sK6,sF8)),
inference(superposition,[],[f121,f231]) ).
fof(f159039,plain,
( spl21_459
| ~ spl21_32
| ~ spl21_758 ),
inference(avatar_split_clause,[],[f159020,f142701,f816,f90366]) ).
fof(f159020,plain,
( ! [X0] : true = prop(sF20(X0))
| ~ spl21_32
| ~ spl21_758 ),
inference(resolution,[],[f159012,f131]) ).
fof(f158690,plain,
( spl21_528
| ~ spl21_527 ),
inference(avatar_split_clause,[],[f158583,f104380,f104470]) ).
fof(f158583,plain,
( true = sF10
| ~ spl21_527 ),
inference(superposition,[],[f233,f104382]) ).
fof(f104382,plain,
( true = lazy_impl(true,sF9)
| ~ spl21_527 ),
inference(avatar_component_clause,[],[f104380]) ).
fof(f158689,plain,
( spl21_57
| spl21_44
| ~ spl21_527 ),
inference(avatar_split_clause,[],[f158585,f104380,f1067,f1319]) ).
fof(f1319,plain,
( spl21_57
<=> true = err ),
introduced(avatar_definition,[new_symbols(naming,[spl21_57])]) ).
fof(f158585,plain,
( true = sF9
| true = err
| ~ spl21_527 ),
inference(superposition,[],[f198,f104382]) ).
fof(f156336,plain,
spl21_733,
inference(avatar_contradiction_clause,[],[f156335]) ).
fof(f156335,plain,
( $false
| spl21_733 ),
inference(trivial_inequality_removal,[],[f156260]) ).
fof(f156260,plain,
( true != true
| spl21_733 ),
inference(superposition,[],[f141308,f300]) ).
fof(f141308,plain,
( true != lazy_impl(true,true)
| spl21_733 ),
inference(avatar_component_clause,[],[f141306]) ).
fof(f155807,plain,
( spl21_57
| spl21_84
| spl21_55
| ~ spl21_293 ),
inference(avatar_split_clause,[],[f155806,f87173,f1286,f5908,f1319]) ).
fof(f155806,plain,
( true = false1
| true = err
| spl21_55
| ~ spl21_293 ),
inference(forward_demodulation,[],[f155761,f257]) ).
fof(f257,plain,
true = prop(true),
inference(resolution,[],[f131,f228]) ).
fof(f155761,plain,
( false1 = prop(true)
| true = err
| spl21_55
| ~ spl21_293 ),
inference(superposition,[],[f87175,f42347]) ).
fof(f42347,plain,
( ! [X25] :
( err = or1(X25,err)
| false1 = prop(X25) )
| spl21_55 ),
inference(forward_demodulation,[],[f42342,f301]) ).
fof(f42342,plain,
( ! [X25] :
( or1(X25,err) = lazy_impl(true,err)
| false1 = prop(X25) )
| spl21_55 ),
inference(resolution,[],[f2392,f1287]) ).
fof(f2392,plain,
! [X3,X4] :
( bool(X3)
| false1 = prop(X4)
| lazy_impl(true,X3) = or1(X4,X3) ),
inference(resolution,[],[f211,f196]) ).
fof(f87175,plain,
( true = or1(true,err)
| ~ spl21_293 ),
inference(avatar_component_clause,[],[f87173]) ).
fof(f151414,plain,
( spl21_84
| spl21_57
| spl21_48
| ~ spl21_344 ),
inference(avatar_split_clause,[],[f151182,f87498,f1139,f1319,f5908]) ).
fof(f1139,plain,
( spl21_48
<=> err = false1 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_48])]) ).
fof(f87498,plain,
( spl21_344
<=> true = prop(err) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_344])]) ).
fof(f151182,plain,
( err = false1
| true = err
| true = false1
| ~ spl21_344 ),
inference(superposition,[],[f87500,f352]) ).
fof(f87500,plain,
( true = prop(err)
| ~ spl21_344 ),
inference(avatar_component_clause,[],[f87498]) ).
fof(f149284,plain,
( spl21_84
| ~ spl21_617
| ~ spl21_793 ),
inference(avatar_split_clause,[],[f149283,f144403,f130160,f5908]) ).
fof(f130160,plain,
( spl21_617
<=> false1 = impl(true,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_617])]) ).
fof(f144403,plain,
( spl21_793
<=> ! [X15] : true = impl(true,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_793])]) ).
fof(f149283,plain,
( true = false1
| ~ spl21_617
| ~ spl21_793 ),
inference(forward_demodulation,[],[f130161,f144404]) ).
fof(f144404,plain,
( ! [X15] : true = impl(true,X15)
| ~ spl21_793 ),
inference(avatar_component_clause,[],[f144403]) ).
fof(f130161,plain,
( false1 = impl(true,sF9)
| ~ spl21_617 ),
inference(avatar_component_clause,[],[f130160]) ).
fof(f149124,plain,
( spl21_350
| ~ spl21_17
| ~ spl21_23
| ~ spl21_54
| ~ spl21_397 ),
inference(avatar_split_clause,[],[f149123,f89103,f1232,f738,f634,f87533]) ).
fof(f149123,plain,
( true = sF17
| ~ spl21_17
| ~ spl21_23
| ~ spl21_54
| ~ spl21_397 ),
inference(forward_demodulation,[],[f149122,f288]) ).
fof(f288,plain,
true = impl(true,true),
inference(resolution,[],[f147,f228]) ).
fof(f149122,plain,
( impl(true,true) = sF17
| ~ spl21_17
| ~ spl21_23
| ~ spl21_54
| ~ spl21_397 ),
inference(forward_demodulation,[],[f149121,f636]) ).
fof(f149121,plain,
( sF17 = impl(sF11,true)
| ~ spl21_17
| ~ spl21_23
| ~ spl21_54
| ~ spl21_397 ),
inference(forward_demodulation,[],[f148928,f148512]) ).
fof(f148512,plain,
( sF11 = sF15
| ~ spl21_54
| ~ spl21_397 ),
inference(forward_demodulation,[],[f148508,f89105]) ).
fof(f148508,plain,
( sF15 = impl(true,sF11)
| ~ spl21_54 ),
inference(superposition,[],[f238,f1234]) ).
fof(f148928,plain,
( impl(sF15,true) = sF17
| ~ spl21_17
| ~ spl21_23 ),
inference(forward_demodulation,[],[f148535,f740]) ).
fof(f148535,plain,
( impl(sF16,true) = sF17
| ~ spl21_17 ),
inference(superposition,[],[f240,f636]) ).
fof(f148514,plain,
( spl21_324
| ~ spl21_16
| ~ spl21_54
| ~ spl21_397 ),
inference(avatar_split_clause,[],[f148513,f89103,f1232,f630,f87361]) ).
fof(f148513,plain,
( false1 = sF15
| ~ spl21_16
| ~ spl21_54
| ~ spl21_397 ),
inference(forward_demodulation,[],[f148512,f632]) ).
fof(f148390,plain,
( spl21_300
| spl21_434
| spl21_421
| ~ spl21_42 ),
inference(avatar_split_clause,[],[f89601,f1050,f89504,f90132,f87218]) ).
fof(f89504,plain,
( spl21_421
<=> sF9 = not1(sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_421])]) ).
fof(f89601,plain,
( sF9 = not1(sF9)
| true = prop(sF9)
| err = sF15
| ~ spl21_42 ),
inference(forward_demodulation,[],[f87745,f1052]) ).
fof(f1052,plain,
( sF9 = sF14
| ~ spl21_42 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f87745,plain,
( true = prop(sF14)
| sF9 = not1(sF9)
| err = sF15
| ~ spl21_42 ),
inference(forward_demodulation,[],[f81057,f1052]) ).
fof(f81057,plain,
( err = sF15
| true = prop(sF14)
| not1(sF14) = sF14 ),
inference(superposition,[],[f238,f26576]) ).
fof(f26576,plain,
! [X2,X1] :
( err = impl(X1,X2)
| true = prop(X1)
| not1(X1) = X1 ),
inference(superposition,[],[f3828,f26269]) ).
fof(f26269,plain,
! [X24,X25] :
( impl(true,X24) = X24
| err = impl(X24,X25) ),
inference(duplicate_literal_removal,[],[f26080]) ).
fof(f26080,plain,
! [X24,X25] :
( err = impl(X24,X25)
| impl(true,X24) = X24
| impl(true,X24) = X24 ),
inference(superposition,[],[f25953,f429]) ).
fof(f429,plain,
! [X2,X3] :
( impl(X2,X3) = lazy_impl(true,X2)
| impl(true,X2) = X2 ),
inference(resolution,[],[f203,f147]) ).
fof(f3828,plain,
! [X2] :
( not1(X2) = impl(true,X2)
| true = prop(X2) ),
inference(duplicate_literal_removal,[],[f3768]) ).
fof(f3768,plain,
! [X2] :
( true = prop(X2)
| not1(X2) = impl(true,X2)
| true = prop(X2) ),
inference(superposition,[],[f2485,f353]) ).
fof(f353,plain,
! [X0] :
( not1(X0) = lazy_impl(true,X0)
| true = prop(X0) ),
inference(resolution,[],[f217,f131]) ).
fof(f2485,plain,
! [X0] :
( impl(true,X0) = lazy_impl(true,X0)
| true = prop(X0) ),
inference(resolution,[],[f2472,f131]) ).
fof(f148386,plain,
( spl21_44
| spl21_43
| ~ spl21_27 ),
inference(avatar_split_clause,[],[f145293,f784,f1063,f1067]) ).
fof(f145293,plain,
( false1 = sF9
| true = sF9
| ~ spl21_27 ),
inference(resolution,[],[f786,f216]) ).
fof(f786,plain,
( bool(sF9)
| ~ spl21_27 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f147550,plain,
( spl21_346
| spl21_25
| spl21_347
| ~ spl21_353 ),
inference(avatar_split_clause,[],[f95182,f87549,f87516,f754,f87512]) ).
fof(f87516,plain,
( spl21_347
<=> false1 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_347])]) ).
fof(f87549,plain,
( spl21_353
<=> sF18 = and1(true,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_353])]) ).
fof(f95182,plain,
( false1 = sF18
| lazy_impl(true,sF18) = sF18
| true = sF18
| ~ spl21_353 ),
inference(superposition,[],[f87551,f2352]) ).
fof(f2352,plain,
! [X8] :
( lazy_impl(true,X8) = and1(true,X8)
| false1 = X8
| true = X8 ),
inference(resolution,[],[f2332,f216]) ).
fof(f2332,plain,
! [X19] :
( bool(X19)
| lazy_impl(true,X19) = and1(true,X19) ),
inference(resolution,[],[f188,f228]) ).
fof(f188,plain,
! [X0,X1] :
( ~ bool(X0)
| lazy_impl(true,X1) = and1(X0,X1)
| bool(X1) ),
inference(definition_unfolding,[],[f114,f138]) ).
fof(f114,plain,
! [X0,X1] :
( phi(X1) = and1(X0,X1)
| bool(X1)
| ~ bool(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( ~ bool(X0)
| bool(X1)
| phi(X1) = and1(X0,X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( phi(X1) = and1(X0,X1)
| ~ bool(X0)
| bool(X1) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( bool(X0)
& ~ bool(X1) )
=> phi(X1) = and1(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X2,X3] :
( ( bool(X2)
& ~ bool(X3) )
=> phi(X3) = and1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and1_axiom2) ).
fof(f87551,plain,
( sF18 = and1(true,sF18)
| ~ spl21_353 ),
inference(avatar_component_clause,[],[f87549]) ).
fof(f147541,plain,
( spl21_346
| ~ spl21_38
| ~ spl21_350 ),
inference(avatar_split_clause,[],[f147540,f87533,f948,f87512]) ).
fof(f147540,plain,
( true = sF18
| ~ spl21_38
| ~ spl21_350 ),
inference(forward_demodulation,[],[f950,f87534]) ).
fof(f147257,plain,
( spl21_370
| spl21_294
| spl21_324
| ~ spl21_23 ),
inference(avatar_split_clause,[],[f145762,f738,f87361,f87177,f87773]) ).
fof(f145762,plain,
( false1 = sF15
| true = sF15
| sF15 = not1(sF15)
| ~ spl21_23 ),
inference(forward_demodulation,[],[f8193,f740]) ).
fof(f8193,plain,
( true = sF15
| false1 = sF15
| not1(sF15) = sF16 ),
inference(superposition,[],[f359,f239]) ).
fof(f146924,plain,
( spl21_44
| spl21_43
| spl21_409
| ~ spl21_42 ),
inference(avatar_split_clause,[],[f89754,f1050,f89369,f1063,f1067]) ).
fof(f89369,plain,
( spl21_409
<=> not1(sF9) = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_409])]) ).
fof(f89754,plain,
( not1(sF9) = sF15
| false1 = sF9
| true = sF9
| ~ spl21_42 ),
inference(forward_demodulation,[],[f88972,f1052]) ).
fof(f88972,plain,
( true = sF14
| not1(sF9) = sF15
| false1 = sF9
| ~ spl21_42 ),
inference(forward_demodulation,[],[f42082,f1052]) ).
fof(f42082,plain,
( false1 = sF14
| not1(sF9) = sF15
| true = sF14
| ~ spl21_42 ),
inference(forward_demodulation,[],[f42062,f1052]) ).
fof(f42062,plain,
( sF15 = not1(sF14)
| false1 = sF14
| true = sF14 ),
inference(superposition,[],[f238,f28644]) ).
fof(f146421,plain,
( spl21_294
| ~ spl21_381
| ~ spl21_382 ),
inference(avatar_split_clause,[],[f146420,f88031,f88027,f87177]) ).
fof(f88031,plain,
( spl21_382
<=> true = impl(false1,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_382])]) ).
fof(f146420,plain,
( true = sF15
| ~ spl21_381
| ~ spl21_382 ),
inference(forward_demodulation,[],[f88029,f88033]) ).
fof(f88033,plain,
( true = impl(false1,sF15)
| ~ spl21_382 ),
inference(avatar_component_clause,[],[f88031]) ).
fof(f88029,plain,
( sF15 = impl(false1,sF15)
| ~ spl21_381 ),
inference(avatar_component_clause,[],[f88027]) ).
fof(f146330,plain,
( spl21_434
| ~ spl21_27 ),
inference(avatar_split_clause,[],[f145284,f784,f90132]) ).
fof(f145284,plain,
( true = prop(sF9)
| ~ spl21_27 ),
inference(resolution,[],[f786,f131]) ).
fof(f146209,plain,
( ~ spl21_327
| spl21_38
| ~ spl21_41 ),
inference(avatar_split_clause,[],[f145202,f961,f948,f87376]) ).
fof(f961,plain,
( spl21_41
<=> err = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_41])]) ).
fof(f145202,plain,
( err != sF17
| spl21_38
| ~ spl21_41 ),
inference(forward_demodulation,[],[f949,f963]) ).
fof(f963,plain,
( err = sF18
| ~ spl21_41 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f949,plain,
( sF17 != sF18
| spl21_38 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f146170,plain,
( spl21_358
| ~ spl21_16
| ~ spl21_23
| ~ spl21_294 ),
inference(avatar_split_clause,[],[f146169,f87177,f738,f630,f87597]) ).
fof(f146169,plain,
( false1 = sF17
| ~ spl21_16
| ~ spl21_23
| ~ spl21_294 ),
inference(forward_demodulation,[],[f146168,f287]) ).
fof(f146168,plain,
( impl(true,false1) = sF17
| ~ spl21_16
| ~ spl21_23
| ~ spl21_294 ),
inference(forward_demodulation,[],[f146167,f87178]) ).
fof(f146167,plain,
( impl(sF15,false1) = sF17
| ~ spl21_16
| ~ spl21_23 ),
inference(forward_demodulation,[],[f145301,f632]) ).
fof(f145301,plain,
( sF17 = impl(sF15,sF11)
| ~ spl21_23 ),
inference(superposition,[],[f240,f740]) ).
fof(f146076,plain,
( ~ spl21_82
| spl21_799
| ~ spl21_81
| ~ spl21_294 ),
inference(avatar_split_clause,[],[f146075,f87177,f5842,f145441,f5868]) ).
fof(f5868,plain,
( spl21_82
<=> bool(true) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_82])]) ).
fof(f5842,plain,
( spl21_81
<=> d(true) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_81])]) ).
fof(f146075,plain,
( ! [X0] :
( ~ d(true)
| bool(impl(sF20(X0),sF11))
| ~ bool(true)
| ~ d(impl(sF20(X0),sF11)) )
| ~ spl21_294 ),
inference(forward_demodulation,[],[f146074,f87178]) ).
fof(f146074,plain,
( ! [X0] :
( ~ d(sF15)
| ~ bool(true)
| ~ d(impl(sF20(X0),sF11))
| bool(impl(sF20(X0),sF11)) )
| ~ spl21_294 ),
inference(forward_demodulation,[],[f95034,f87178]) ).
fof(f95034,plain,
! [X0] :
( bool(impl(sF20(X0),sF11))
| ~ d(impl(sF20(X0),sF11))
| ~ d(sF15)
| ~ bool(sF15) ),
inference(resolution,[],[f87547,f158]) ).
fof(f158,plain,
! [X0,X1] :
( forallprefers(X1,X0)
| ~ d(X0)
| ~ bool(X0)
| ~ d(X1)
| bool(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( forallprefers(X1,X0)
| ( ( bool(X1)
| ~ bool(X0)
| ~ d(X1)
| ~ d(X0) )
& ( false != X1
| true != X0 )
& ( d(X1)
| ~ d(X0) ) ) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( ( d(X0)
& ~ d(X1) )
| ( d(X0)
& d(X1)
& ~ bool(X1)
& bool(X0) )
| ( false = X1
& true = X0 ) )
=> forallprefers(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( forallprefers(X1,X0)
<=> ( ( d(X0)
& ~ d(X1) )
| ( d(X0)
& d(X1)
& ~ bool(X1)
& bool(X0) )
| ( false = X1
& true = X0 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( forallprefers(X0,X1)
<=> ( ( d(X0)
& d(X1)
& bool(X1)
& ~ bool(X0) )
| ( false = X0
& true = X1 )
| ( d(X1)
& ~ d(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_forallprefers) ).
fof(f87547,plain,
! [X0] : ~ forallprefers(impl(sF20(X0),sF11),sF15),
inference(forward_demodulation,[],[f3366,f244]) ).
fof(f3366,plain,
! [X0] : ~ forallprefers(impl(apply(sK6,X0),sF11),sF15),
inference(forward_demodulation,[],[f3365,f238]) ).
fof(f3365,plain,
! [X0] : ~ forallprefers(impl(apply(sK6,X0),sF11),impl(sF14,sF11)),
inference(forward_demodulation,[],[f3364,f286]) ).
fof(f3364,plain,
! [X0] : ~ forallprefers(impl(apply(sK6,X0),sF11),impl(sF20(sF13),sF11)),
inference(forward_demodulation,[],[f3356,f244]) ).
fof(f3356,plain,
! [X0] : ~ forallprefers(impl(apply(sK6,X0),sF11),impl(apply(sK6,sF13),sF11)),
inference(superposition,[],[f190,f236]) ).
fof(f146043,plain,
( spl21_388
| ~ spl21_23
| ~ spl21_389 ),
inference(avatar_split_clause,[],[f145749,f88198,f738,f88190]) ).
fof(f145749,plain,
( sF17 = sF15
| ~ spl21_23
| ~ spl21_389 ),
inference(forward_demodulation,[],[f145301,f88199]) ).
fof(f88199,plain,
( ! [X90] : sF15 = impl(sF15,X90)
| ~ spl21_389 ),
inference(avatar_component_clause,[],[f88198]) ).
fof(f145676,plain,
( ~ spl21_81
| ~ spl21_17
| ~ spl21_23
| ~ spl21_294
| ~ spl21_397
| spl21_438 ),
inference(avatar_split_clause,[],[f145675,f90232,f89103,f87177,f738,f634,f5842]) ).
fof(f90232,plain,
( spl21_438
<=> d(sF17) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_438])]) ).
fof(f145675,plain,
( ~ d(true)
| ~ spl21_17
| ~ spl21_23
| ~ spl21_294
| ~ spl21_397
| spl21_438 ),
inference(forward_demodulation,[],[f145661,f636]) ).
fof(f145661,plain,
( ~ d(sF11)
| ~ spl21_23
| ~ spl21_294
| ~ spl21_397
| spl21_438 ),
inference(superposition,[],[f90233,f145597]) ).
fof(f145597,plain,
( sF11 = sF17
| ~ spl21_23
| ~ spl21_294
| ~ spl21_397 ),
inference(forward_demodulation,[],[f145596,f89105]) ).
fof(f145596,plain,
( sF17 = impl(true,sF11)
| ~ spl21_23
| ~ spl21_294 ),
inference(forward_demodulation,[],[f145301,f87178]) ).
fof(f90233,plain,
( ~ d(sF17)
| spl21_438 ),
inference(avatar_component_clause,[],[f90232]) ).
fof(f145673,plain,
( spl21_57
| ~ spl21_2
| ~ spl21_17
| ~ spl21_23
| ~ spl21_41
| ~ spl21_294
| ~ spl21_397 ),
inference(avatar_split_clause,[],[f145672,f89103,f87177,f961,f738,f634,f252,f1319]) ).
fof(f145672,plain,
( true = err
| ~ spl21_2
| ~ spl21_17
| ~ spl21_23
| ~ spl21_41
| ~ spl21_294
| ~ spl21_397 ),
inference(forward_demodulation,[],[f145671,f300]) ).
fof(f145671,plain,
( err = lazy_impl(true,true)
| ~ spl21_2
| ~ spl21_17
| ~ spl21_23
| ~ spl21_41
| ~ spl21_294
| ~ spl21_397 ),
inference(forward_demodulation,[],[f145670,f253]) ).
fof(f253,plain,
( true = sF12
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f145670,plain,
( err = lazy_impl(sF12,true)
| ~ spl21_17
| ~ spl21_23
| ~ spl21_41
| ~ spl21_294
| ~ spl21_397 ),
inference(forward_demodulation,[],[f145669,f636]) ).
fof(f145669,plain,
( err = lazy_impl(sF12,sF11)
| ~ spl21_23
| ~ spl21_41
| ~ spl21_294
| ~ spl21_397 ),
inference(forward_demodulation,[],[f145653,f963]) ).
fof(f145653,plain,
( lazy_impl(sF12,sF11) = sF18
| ~ spl21_23
| ~ spl21_294
| ~ spl21_397 ),
inference(superposition,[],[f241,f145597]) ).
fof(f145667,plain,
( spl21_793
| ~ spl21_17
| ~ spl21_23
| ~ spl21_294
| ~ spl21_318
| ~ spl21_397 ),
inference(avatar_split_clause,[],[f145666,f89103,f87327,f87177,f738,f634,f144403]) ).
fof(f145666,plain,
( ! [X0] : true = impl(true,X0)
| ~ spl21_17
| ~ spl21_23
| ~ spl21_294
| ~ spl21_318
| ~ spl21_397 ),
inference(forward_demodulation,[],[f145655,f636]) ).
fof(f145655,plain,
( ! [X0] : impl(sF11,X0) = sF11
| ~ spl21_23
| ~ spl21_294
| ~ spl21_318
| ~ spl21_397 ),
inference(superposition,[],[f87328,f145597]) ).
fof(f87328,plain,
( ! [X193] : impl(sF17,X193) = sF17
| ~ spl21_318 ),
inference(avatar_component_clause,[],[f87327]) ).
fof(f145627,plain,
( ~ spl21_294
| ~ spl21_23
| spl21_333 ),
inference(avatar_split_clause,[],[f145304,f87406,f738,f87177]) ).
fof(f145304,plain,
( true != sF15
| ~ spl21_23
| spl21_333 ),
inference(superposition,[],[f87407,f740]) ).
fof(f87407,plain,
( true != sF16
| spl21_333 ),
inference(avatar_component_clause,[],[f87406]) ).
fof(f145452,plain,
( spl21_350
| ~ spl21_16
| ~ spl21_23
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f145451,f87361,f738,f630,f87533]) ).
fof(f145451,plain,
( true = sF17
| ~ spl21_16
| ~ spl21_23
| ~ spl21_324 ),
inference(forward_demodulation,[],[f145450,f309]) ).
fof(f145450,plain,
( impl(false1,false1) = sF17
| ~ spl21_16
| ~ spl21_23
| ~ spl21_324 ),
inference(forward_demodulation,[],[f145449,f87363]) ).
fof(f87363,plain,
( false1 = sF15
| ~ spl21_324 ),
inference(avatar_component_clause,[],[f87361]) ).
fof(f145449,plain,
( impl(sF15,false1) = sF17
| ~ spl21_16
| ~ spl21_23 ),
inference(forward_demodulation,[],[f145301,f632]) ).
fof(f145443,plain,
( ~ spl21_36
| spl21_799
| ~ spl21_35
| ~ spl21_324 ),
inference(avatar_split_clause,[],[f145439,f87361,f900,f145441,f904]) ).
fof(f904,plain,
( spl21_36
<=> d(false1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_36])]) ).
fof(f900,plain,
( spl21_35
<=> bool(false1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_35])]) ).
fof(f145439,plain,
( ! [X0] :
( ~ bool(false1)
| bool(impl(sF20(X0),sF11))
| ~ d(false1)
| ~ d(impl(sF20(X0),sF11)) )
| ~ spl21_324 ),
inference(forward_demodulation,[],[f145438,f87363]) ).
fof(f145438,plain,
( ! [X0] :
( ~ d(impl(sF20(X0),sF11))
| bool(impl(sF20(X0),sF11))
| ~ d(sF15)
| ~ bool(false1) )
| ~ spl21_324 ),
inference(forward_demodulation,[],[f95034,f87363]) ).
fof(f145371,plain,
( spl21_397
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f142102,f248,f89103]) ).
fof(f142102,plain,
( sF11 = impl(true,sF11)
| ~ spl21_1 ),
inference(resolution,[],[f250,f147]) ).
fof(f250,plain,
( bool(sF11)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f145148,plain,
( ~ spl21_41
| spl21_20
| ~ spl21_22 ),
inference(avatar_split_clause,[],[f142818,f733,f724,f961]) ).
fof(f733,plain,
( spl21_22
<=> err = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).
fof(f142818,plain,
( err != sF18
| spl21_20
| ~ spl21_22 ),
inference(forward_demodulation,[],[f725,f735]) ).
fof(f735,plain,
( err = sF19
| ~ spl21_22 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f725,plain,
( sF18 != sF19
| spl21_20 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f145129,plain,
( ~ spl21_36
| ~ spl21_347
| spl21_511 ),
inference(avatar_split_clause,[],[f145128,f92274,f87516,f904]) ).
fof(f92274,plain,
( spl21_511
<=> d(sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_511])]) ).
fof(f145128,plain,
( ~ d(false1)
| ~ spl21_347
| spl21_511 ),
inference(forward_demodulation,[],[f92275,f87518]) ).
fof(f87518,plain,
( false1 = sF18
| ~ spl21_347 ),
inference(avatar_component_clause,[],[f87516]) ).
fof(f92275,plain,
( ~ d(sF18)
| spl21_511 ),
inference(avatar_component_clause,[],[f92274]) ).
fof(f145108,plain,
( ~ spl21_358
| ~ spl21_43
| spl21_436 ),
inference(avatar_split_clause,[],[f144976,f90188,f1063,f87597]) ).
fof(f90188,plain,
( spl21_436
<=> sF9 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_436])]) ).
fof(f144976,plain,
( false1 != sF17
| ~ spl21_43
| spl21_436 ),
inference(forward_demodulation,[],[f90189,f1065]) ).
fof(f90189,plain,
( sF9 != sF17
| spl21_436 ),
inference(avatar_component_clause,[],[f90188]) ).
fof(f145051,plain,
( ~ spl21_36
| ~ spl21_358
| spl21_438 ),
inference(avatar_split_clause,[],[f145050,f90232,f87597,f904]) ).
fof(f145050,plain,
( ~ d(false1)
| ~ spl21_358
| spl21_438 ),
inference(forward_demodulation,[],[f90233,f87599]) ).
fof(f87599,plain,
( false1 = sF17
| ~ spl21_358 ),
inference(avatar_component_clause,[],[f87597]) ).
fof(f145033,plain,
( ~ spl21_327
| spl21_25
| ~ spl21_38
| ~ spl21_39 ),
inference(avatar_split_clause,[],[f144959,f952,f948,f754,f87376]) ).
fof(f144959,plain,
( err != sF17
| spl21_25
| ~ spl21_38
| ~ spl21_39 ),
inference(forward_demodulation,[],[f143659,f954]) ).
fof(f143659,plain,
( sF17 != lazy_impl(true,sF17)
| spl21_25
| ~ spl21_38 ),
inference(forward_demodulation,[],[f755,f950]) ).
fof(f144821,plain,
( ~ spl21_438
| ~ spl21_38
| spl21_511 ),
inference(avatar_split_clause,[],[f144428,f92274,f948,f90232]) ).
fof(f144428,plain,
( ~ d(sF17)
| ~ spl21_38
| spl21_511 ),
inference(forward_demodulation,[],[f92275,f950]) ).
fof(f144621,plain,
( spl21_57
| ~ spl21_39
| ~ spl21_350 ),
inference(avatar_split_clause,[],[f144620,f87533,f952,f1319]) ).
fof(f144620,plain,
( true = err
| ~ spl21_39
| ~ spl21_350 ),
inference(forward_demodulation,[],[f144619,f300]) ).
fof(f144619,plain,
( err = lazy_impl(true,true)
| ~ spl21_39
| ~ spl21_350 ),
inference(forward_demodulation,[],[f954,f87534]) ).
fof(f144341,plain,
( ~ spl21_44
| ~ spl21_350
| spl21_436 ),
inference(avatar_split_clause,[],[f144340,f90188,f87533,f1067]) ).
fof(f144340,plain,
( true != sF9
| ~ spl21_350
| spl21_436 ),
inference(forward_demodulation,[],[f90189,f87534]) ).
fof(f144199,plain,
( spl21_434
| spl21_428
| ~ spl21_42
| ~ spl21_413 ),
inference(avatar_split_clause,[],[f144198,f89396,f1050,f89687,f90132]) ).
fof(f89687,plain,
( spl21_428
<=> sF9 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_428])]) ).
fof(f89396,plain,
( spl21_413
<=> sF9 = impl(true,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_413])]) ).
fof(f144198,plain,
( sF9 = sF15
| true = prop(sF9)
| ~ spl21_42
| ~ spl21_413 ),
inference(forward_demodulation,[],[f88778,f89398]) ).
fof(f89398,plain,
( sF9 = impl(true,sF9)
| ~ spl21_413 ),
inference(avatar_component_clause,[],[f89396]) ).
fof(f88778,plain,
( true = prop(sF9)
| sF15 = impl(true,sF9)
| ~ spl21_42 ),
inference(forward_demodulation,[],[f88777,f1052]) ).
fof(f88777,plain,
( impl(true,sF14) = sF15
| true = prop(sF9)
| ~ spl21_42 ),
inference(forward_demodulation,[],[f5516,f1052]) ).
fof(f5516,plain,
( impl(true,sF14) = sF15
| true = prop(sF14) ),
inference(superposition,[],[f238,f3831]) ).
fof(f3831,plain,
! [X8,X7] :
( impl(true,X7) = impl(X7,X8)
| true = prop(X7) ),
inference(duplicate_literal_removal,[],[f3799]) ).
fof(f3799,plain,
! [X8,X7] :
( true = prop(X7)
| true = prop(X7)
| impl(true,X7) = impl(X7,X8) ),
inference(superposition,[],[f428,f2485]) ).
fof(f144128,plain,
( spl21_399
| spl21_428
| ~ spl21_42
| ~ spl21_413 ),
inference(avatar_split_clause,[],[f144127,f89396,f1050,f89687,f89308]) ).
fof(f144127,plain,
( sF9 = sF15
| true = impl(false1,sF9)
| ~ spl21_42
| ~ spl21_413 ),
inference(forward_demodulation,[],[f91409,f89398]) ).
fof(f91409,plain,
( true = impl(false1,sF9)
| sF15 = impl(true,sF9)
| ~ spl21_42 ),
inference(forward_demodulation,[],[f50819,f1052]) ).
fof(f50819,plain,
( true = impl(false1,sF9)
| impl(true,sF14) = sF15
| ~ spl21_42 ),
inference(forward_demodulation,[],[f50616,f1052]) ).
fof(f50616,plain,
( impl(true,sF14) = sF15
| true = impl(false1,sF14) ),
inference(superposition,[],[f238,f27774]) ).
fof(f27774,plain,
! [X34,X35] :
( impl(X34,X35) = impl(true,X34)
| true = impl(false1,X34) ),
inference(duplicate_literal_removal,[],[f27578]) ).
fof(f27578,plain,
! [X34,X35] :
( impl(X34,X35) = impl(true,X34)
| true = impl(false1,X34)
| true = impl(false1,X34) ),
inference(superposition,[],[f2495,f435]) ).
fof(f2495,plain,
! [X13] :
( lazy_impl(true,X13) = impl(true,X13)
| true = impl(false1,X13) ),
inference(resolution,[],[f2472,f219]) ).
fof(f144118,plain,
( spl21_44
| spl21_43
| spl21_428
| ~ spl21_42
| ~ spl21_413 ),
inference(avatar_split_clause,[],[f144117,f89396,f1050,f89687,f1063,f1067]) ).
fof(f144117,plain,
( sF9 = sF15
| false1 = sF9
| true = sF9
| ~ spl21_42
| ~ spl21_413 ),
inference(forward_demodulation,[],[f88731,f89398]) ).
fof(f88731,plain,
( true = sF9
| sF15 = impl(true,sF9)
| false1 = sF9
| ~ spl21_42 ),
inference(forward_demodulation,[],[f88730,f1052]) ).
fof(f88730,plain,
( false1 = sF14
| sF15 = impl(true,sF9)
| true = sF9
| ~ spl21_42 ),
inference(forward_demodulation,[],[f88729,f1052]) ).
fof(f88729,plain,
( true = sF14
| sF15 = impl(true,sF9)
| false1 = sF14
| ~ spl21_42 ),
inference(forward_demodulation,[],[f68654,f1052]) ).
fof(f68654,plain,
( impl(true,sF14) = sF15
| true = sF14
| false1 = sF14 ),
inference(superposition,[],[f62608,f238]) ).
fof(f62608,plain,
! [X34,X35] :
( impl(X34,X35) = impl(true,X34)
| true = X34
| false1 = X34 ),
inference(duplicate_literal_removal,[],[f62419]) ).
fof(f62419,plain,
! [X34,X35] :
( false1 = X34
| false1 = X34
| true = X34
| true = X34
| impl(X34,X35) = impl(true,X34) ),
inference(superposition,[],[f434,f2494]) ).
fof(f144033,plain,
( ~ spl21_27
| ~ spl21_4
| spl21_758 ),
inference(avatar_split_clause,[],[f1107,f142701,f335,f784]) ).
fof(f1107,plain,
! [X2] :
( bool(sF20(X2))
| ~ d(sF20(X2))
| ~ d(sF9)
| ~ bool(sF9) ),
inference(resolution,[],[f173,f319]) ).
fof(f143809,plain,
( spl21_84
| ~ spl21_43
| spl21_617 ),
inference(avatar_split_clause,[],[f143808,f130160,f1063,f5908]) ).
fof(f143808,plain,
( true = false1
| ~ spl21_43
| spl21_617 ),
inference(forward_demodulation,[],[f143807,f256]) ).
fof(f143807,plain,
( false1 = prop(false1)
| ~ spl21_43
| spl21_617 ),
inference(forward_demodulation,[],[f143806,f1065]) ).
fof(f143806,plain,
( false1 = prop(sF9)
| ~ spl21_43
| spl21_617 ),
inference(trivial_inequality_removal,[],[f143805]) ).
fof(f143805,plain,
( false1 != false1
| false1 = prop(sF9)
| ~ spl21_43
| spl21_617 ),
inference(forward_demodulation,[],[f139654,f1065]) ).
fof(f139654,plain,
( false1 != sF9
| false1 = prop(sF9)
| spl21_617 ),
inference(superposition,[],[f130162,f289]) ).
fof(f289,plain,
! [X0] :
( impl(true,X0) = X0
| prop(X0) = false1 ),
inference(resolution,[],[f147,f196]) ).
fof(f130162,plain,
( false1 != impl(true,sF9)
| spl21_617 ),
inference(avatar_component_clause,[],[f130160]) ).
fof(f143613,plain,
( spl21_294
| spl21_23
| ~ spl21_381 ),
inference(avatar_split_clause,[],[f143612,f88027,f738,f87177]) ).
fof(f143612,plain,
( sF15 = sF16
| true = sF15
| ~ spl21_381 ),
inference(forward_demodulation,[],[f143611,f88029]) ).
fof(f143611,plain,
( true = sF15
| sF16 = impl(false1,sF15)
| ~ spl21_381 ),
inference(forward_demodulation,[],[f28963,f88029]) ).
fof(f28963,plain,
( true = impl(false1,sF15)
| sF16 = impl(false1,sF15) ),
inference(superposition,[],[f2517,f239]) ).
fof(f2517,plain,
! [X13] :
( impl(false1,X13) = lazy_impl(true,X13)
| true = impl(false1,X13) ),
inference(resolution,[],[f2474,f219]) ).
fof(f143332,plain,
( spl21_39
| ~ spl21_21
| ~ spl21_38 ),
inference(avatar_split_clause,[],[f143331,f948,f728,f952]) ).
fof(f728,plain,
( spl21_21
<=> err = lazy_impl(true,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_21])]) ).
fof(f143331,plain,
( err = lazy_impl(true,sF17)
| ~ spl21_21
| ~ spl21_38 ),
inference(forward_demodulation,[],[f730,f950]) ).
fof(f730,plain,
( err = lazy_impl(true,sF18)
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f143110,plain,
( spl21_758
| ~ spl21_36
| ~ spl21_35
| ~ spl21_43 ),
inference(avatar_split_clause,[],[f143109,f1063,f900,f904,f142701]) ).
fof(f143109,plain,
( ! [X2] :
( ~ bool(false1)
| ~ d(false1)
| ~ d(sF20(X2))
| bool(sF20(X2)) )
| ~ spl21_43 ),
inference(forward_demodulation,[],[f143108,f1065]) ).
fof(f143108,plain,
( ! [X2] :
( ~ d(sF20(X2))
| ~ d(false1)
| ~ bool(sF9)
| bool(sF20(X2)) )
| ~ spl21_43 ),
inference(forward_demodulation,[],[f1107,f1065]) ).
fof(f143006,plain,
( spl21_25
| ~ spl21_511 ),
inference(avatar_split_clause,[],[f92278,f92274,f754]) ).
fof(f92278,plain,
( lazy_impl(true,sF18) = sF18
| ~ spl21_511 ),
inference(resolution,[],[f92276,f200]) ).
fof(f92276,plain,
( d(sF18)
| ~ spl21_511 ),
inference(avatar_component_clause,[],[f92274]) ).
fof(f142790,plain,
( spl21_57
| ~ spl21_44
| spl21_527 ),
inference(avatar_split_clause,[],[f142789,f104380,f1067,f1319]) ).
fof(f142789,plain,
( true = err
| ~ spl21_44
| spl21_527 ),
inference(forward_demodulation,[],[f142788,f300]) ).
fof(f142788,plain,
( err = lazy_impl(true,true)
| ~ spl21_44
| spl21_527 ),
inference(forward_demodulation,[],[f142787,f1069]) ).
fof(f142787,plain,
( err = lazy_impl(true,sF9)
| ~ spl21_44
| spl21_527 ),
inference(trivial_inequality_removal,[],[f142786]) ).
fof(f142786,plain,
( err = lazy_impl(true,sF9)
| true != true
| ~ spl21_44
| spl21_527 ),
inference(forward_demodulation,[],[f131481,f1069]) ).
fof(f131481,plain,
( true != sF9
| err = lazy_impl(true,sF9)
| spl21_527 ),
inference(superposition,[],[f104381,f198]) ).
fof(f142703,plain,
( spl21_758
| ~ spl21_81
| ~ spl21_82
| ~ spl21_44 ),
inference(avatar_split_clause,[],[f142699,f1067,f5868,f5842,f142701]) ).
fof(f142699,plain,
( ! [X2] :
( ~ bool(true)
| ~ d(true)
| ~ d(sF20(X2))
| bool(sF20(X2)) )
| ~ spl21_44 ),
inference(forward_demodulation,[],[f142698,f1069]) ).
fof(f142698,plain,
( ! [X2] :
( ~ d(true)
| ~ bool(sF9)
| ~ d(sF20(X2))
| bool(sF20(X2)) )
| ~ spl21_44 ),
inference(forward_demodulation,[],[f1107,f1069]) ).
fof(f142466,plain,
( ~ spl21_20
| ~ spl21_33
| ~ spl21_38
| ~ spl21_436 ),
inference(avatar_contradiction_clause,[],[f142465]) ).
fof(f142465,plain,
( $false
| ~ spl21_20
| ~ spl21_33
| ~ spl21_38
| ~ spl21_436 ),
inference(trivial_inequality_removal,[],[f142463]) ).
fof(f142463,plain,
( sF9 != sF9
| ~ spl21_20
| ~ spl21_33
| ~ spl21_38
| ~ spl21_436 ),
inference(superposition,[],[f141929,f141968]) ).
fof(f141968,plain,
( sF9 = sF18
| ~ spl21_38
| ~ spl21_436 ),
inference(forward_demodulation,[],[f950,f90190]) ).
fof(f90190,plain,
( sF9 = sF17
| ~ spl21_436 ),
inference(avatar_component_clause,[],[f90188]) ).
fof(f141929,plain,
( sF9 != sF18
| ~ spl21_20
| ~ spl21_33 ),
inference(forward_demodulation,[],[f1616,f822]) ).
fof(f822,plain,
( sF10 = sF9
| ~ spl21_33 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f1616,plain,
( sF10 != sF18
| ~ spl21_20 ),
inference(superposition,[],[f243,f726]) ).
fof(f142088,plain,
( ~ spl21_368
| spl21_57
| spl21_48
| spl21_515 ),
inference(avatar_split_clause,[],[f96182,f95151,f1139,f1319,f87712]) ).
fof(f96182,plain,
( err = false1
| true = err
| true != impl(false1,err)
| spl21_515 ),
inference(superposition,[],[f95152,f2516]) ).
fof(f95152,plain,
( true != lazy_impl(true,err)
| spl21_515 ),
inference(avatar_component_clause,[],[f95151]) ).
fof(f141867,plain,
( spl21_84
| ~ spl21_13
| spl21_352 ),
inference(avatar_split_clause,[],[f141866,f87543,f583,f5908]) ).
fof(f583,plain,
( spl21_13
<=> true = prop(sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
fof(f141866,plain,
( true = false1
| ~ spl21_13
| spl21_352 ),
inference(forward_demodulation,[],[f128854,f585]) ).
fof(f585,plain,
( true = prop(sF11)
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f128854,plain,
( false1 = prop(sF11)
| spl21_352 ),
inference(trivial_inequality_removal,[],[f128805]) ).
fof(f128805,plain,
( false1 = prop(sF11)
| true != true
| spl21_352 ),
inference(superposition,[],[f87544,f311]) ).
fof(f311,plain,
! [X0] :
( true = impl(false1,X0)
| prop(X0) = false1 ),
inference(resolution,[],[f219,f196]) ).
fof(f87544,plain,
( true != impl(false1,sF11)
| spl21_352 ),
inference(avatar_component_clause,[],[f87543]) ).
fof(f141614,plain,
( spl21_34
| ~ spl21_2
| ~ spl21_41
| ~ spl21_436 ),
inference(avatar_split_clause,[],[f141613,f90188,f961,f252,f826]) ).
fof(f826,plain,
( spl21_34
<=> err = lazy_impl(true,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_34])]) ).
fof(f141613,plain,
( err = lazy_impl(true,sF9)
| ~ spl21_2
| ~ spl21_41
| ~ spl21_436 ),
inference(forward_demodulation,[],[f141612,f253]) ).
fof(f141612,plain,
( err = lazy_impl(sF12,sF9)
| ~ spl21_41
| ~ spl21_436 ),
inference(forward_demodulation,[],[f138491,f963]) ).
fof(f138491,plain,
( lazy_impl(sF12,sF9) = sF18
| ~ spl21_436 ),
inference(superposition,[],[f241,f90190]) ).
fof(f140532,plain,
( ~ spl21_81
| spl21_173
| ~ spl21_161 ),
inference(avatar_split_clause,[],[f140531,f44660,f45222,f5842]) ).
fof(f140531,plain,
( ! [X1] :
( d(impl(sF20(X1),false1))
| ~ d(true) )
| ~ spl21_161 ),
inference(forward_demodulation,[],[f140467,f309]) ).
fof(f140467,plain,
( ! [X1] :
( ~ d(impl(false1,false1))
| d(impl(sF20(X1),false1)) )
| ~ spl21_161 ),
inference(superposition,[],[f3654,f44662]) ).
fof(f3654,plain,
! [X2,X3] :
( ~ d(impl(sF20(sK0(X3,sK6)),X3))
| d(impl(sF20(X2),X3)) ),
inference(resolution,[],[f3373,f160]) ).
fof(f160,plain,
! [X0,X1] :
( forallprefers(X1,X0)
| d(X1)
| ~ d(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f3373,plain,
! [X2,X3] : ~ forallprefers(impl(sF20(X2),X3),impl(sF20(sK0(X3,sK6)),X3)),
inference(forward_demodulation,[],[f3353,f244]) ).
fof(f3353,plain,
! [X2,X3] : ~ forallprefers(impl(sF20(X2),X3),impl(apply(sK6,sK0(X3,sK6)),X3)),
inference(superposition,[],[f190,f244]) ).
fof(f140460,plain,
( spl21_27
| ~ spl21_424
| ~ spl21_547 ),
inference(avatar_split_clause,[],[f140459,f114172,f89551,f784]) ).
fof(f114172,plain,
( spl21_547
<=> ! [X4] : bool(impl(sF20(X4),false1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_547])]) ).
fof(f140459,plain,
( bool(sF9)
| ~ spl21_424
| ~ spl21_547 ),
inference(forward_demodulation,[],[f140418,f89552]) ).
fof(f140418,plain,
( bool(impl(sF9,false1))
| ~ spl21_547 ),
inference(superposition,[],[f114173,f285]) ).
fof(f114173,plain,
( ! [X4] : bool(impl(sF20(X4),false1))
| ~ spl21_547 ),
inference(avatar_component_clause,[],[f114172]) ).
fof(f140363,plain,
( ~ spl21_35
| ~ spl21_4
| ~ spl21_36
| spl21_27
| ~ spl21_160
| ~ spl21_607 ),
inference(avatar_split_clause,[],[f140361,f125411,f44655,f784,f904,f335,f900]) ).
fof(f140361,plain,
( bool(sF9)
| ~ d(false1)
| ~ d(sF9)
| ~ bool(false1)
| ~ spl21_160
| ~ spl21_607 ),
inference(resolution,[],[f140340,f158]) ).
fof(f140340,plain,
( ~ forallprefers(sF9,false1)
| ~ spl21_160
| ~ spl21_607 ),
inference(forward_demodulation,[],[f140279,f287]) ).
fof(f140279,plain,
( ~ forallprefers(sF9,impl(true,false1))
| ~ spl21_160
| ~ spl21_607 ),
inference(superposition,[],[f125412,f44657]) ).
fof(f125412,plain,
( ! [X68] : ~ forallprefers(sF9,impl(sF20(sK0(X68,sK6)),X68))
| ~ spl21_607 ),
inference(avatar_component_clause,[],[f125411]) ).
fof(f138225,plain,
( spl21_84
| spl21_436
| spl21_27
| ~ spl21_409
| ~ spl21_428
| ~ spl21_598 ),
inference(avatar_split_clause,[],[f138224,f125197,f89687,f89369,f784,f90188,f5908]) ).
fof(f125197,plain,
( spl21_598
<=> sF9 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_598])]) ).
fof(f138224,plain,
( sF9 = sF17
| true = false1
| spl21_27
| ~ spl21_409
| ~ spl21_428
| ~ spl21_598 ),
inference(forward_demodulation,[],[f138223,f89688]) ).
fof(f89688,plain,
( sF9 = sF15
| ~ spl21_428 ),
inference(avatar_component_clause,[],[f89687]) ).
fof(f138223,plain,
( true = false1
| sF17 = sF15
| spl21_27
| ~ spl21_409
| ~ spl21_598 ),
inference(forward_demodulation,[],[f138222,f89371]) ).
fof(f89371,plain,
( not1(sF9) = sF15
| ~ spl21_409 ),
inference(avatar_component_clause,[],[f89369]) ).
fof(f138222,plain,
( not1(sF9) = sF17
| true = false1
| spl21_27
| ~ spl21_598 ),
inference(forward_demodulation,[],[f138221,f1072]) ).
fof(f1072,plain,
( false1 = prop(sF9)
| spl21_27 ),
inference(resolution,[],[f785,f196]) ).
fof(f785,plain,
( ~ bool(sF9)
| spl21_27 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f138221,plain,
( not1(sF9) = sF17
| true = prop(sF9)
| ~ spl21_598 ),
inference(forward_demodulation,[],[f138220,f125199]) ).
fof(f125199,plain,
( sF9 = sF16
| ~ spl21_598 ),
inference(avatar_component_clause,[],[f125197]) ).
fof(f138220,plain,
( true = prop(sF16)
| not1(sF9) = sF17
| ~ spl21_598 ),
inference(forward_demodulation,[],[f3152,f125199]) ).
fof(f3152,plain,
( true = prop(sF16)
| not1(sF16) = sF17 ),
inference(superposition,[],[f3093,f240]) ).
fof(f3093,plain,
! [X4,X5] :
( impl(X4,X5) = not1(X4)
| true = prop(X4) ),
inference(duplicate_literal_removal,[],[f3026]) ).
fof(f3026,plain,
! [X4,X5] :
( true = prop(X4)
| impl(X4,X5) = not1(X4)
| true = prop(X4) ),
inference(superposition,[],[f428,f353]) ).
fof(f138116,plain,
( spl21_436
| ~ spl21_288
| ~ spl21_395
| ~ spl21_428 ),
inference(avatar_split_clause,[],[f138084,f89687,f88446,f87145,f90188]) ).
fof(f87145,plain,
( spl21_288
<=> sF15 = impl(true,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_288])]) ).
fof(f88446,plain,
( spl21_395
<=> sF17 = impl(true,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_395])]) ).
fof(f138084,plain,
( sF9 = sF17
| ~ spl21_288
| ~ spl21_395
| ~ spl21_428 ),
inference(forward_demodulation,[],[f91482,f89688]) ).
fof(f91482,plain,
( sF17 = sF15
| ~ spl21_288
| ~ spl21_395 ),
inference(forward_demodulation,[],[f88448,f87147]) ).
fof(f87147,plain,
( sF15 = impl(true,sF15)
| ~ spl21_288 ),
inference(avatar_component_clause,[],[f87145]) ).
fof(f88448,plain,
( sF17 = impl(true,sF15)
| ~ spl21_395 ),
inference(avatar_component_clause,[],[f88446]) ).
fof(f138019,plain,
( ~ spl21_414
| spl21_381
| ~ spl21_428 ),
inference(avatar_split_clause,[],[f138018,f89687,f88027,f89401]) ).
fof(f89401,plain,
( spl21_414
<=> sF9 = impl(false1,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_414])]) ).
fof(f138018,plain,
( sF9 != impl(false1,sF9)
| spl21_381
| ~ spl21_428 ),
inference(forward_demodulation,[],[f88028,f89688]) ).
fof(f137838,plain,
( spl21_416
| ~ spl21_330
| ~ spl21_428 ),
inference(avatar_split_clause,[],[f137837,f89687,f87393,f89420]) ).
fof(f137837,plain,
( true = or1(true,sF9)
| ~ spl21_330
| ~ spl21_428 ),
inference(forward_demodulation,[],[f87395,f89688]) ).
fof(f87395,plain,
( true = or1(true,sF15)
| ~ spl21_330 ),
inference(avatar_component_clause,[],[f87393]) ).
fof(f137836,plain,
( ~ spl21_436
| spl21_388
| ~ spl21_428 ),
inference(avatar_split_clause,[],[f137835,f89687,f88190,f90188]) ).
fof(f137835,plain,
( sF9 != sF17
| spl21_388
| ~ spl21_428 ),
inference(forward_demodulation,[],[f88191,f89688]) ).
fof(f88191,plain,
( sF17 != sF15
| spl21_388 ),
inference(avatar_component_clause,[],[f88190]) ).
fof(f137771,plain,
( spl21_27
| ~ spl21_4
| ~ spl21_82
| ~ spl21_81
| ~ spl21_3
| ~ spl21_26
| ~ spl21_33
| spl21_171
| ~ spl21_388
| ~ spl21_424 ),
inference(avatar_split_clause,[],[f137769,f89551,f88190,f45066,f820,f781,f266,f5842,f5868,f335,f784]) ).
fof(f137769,plain,
( ~ d(true)
| ~ bool(true)
| ~ d(sF9)
| bool(sF9)
| ~ spl21_3
| ~ spl21_26
| ~ spl21_33
| spl21_171
| ~ spl21_388
| ~ spl21_424 ),
inference(resolution,[],[f137682,f158]) ).
fof(f137682,plain,
( ~ forallprefers(sF9,true)
| ~ spl21_3
| ~ spl21_26
| ~ spl21_33
| spl21_171
| ~ spl21_388
| ~ spl21_424 ),
inference(forward_demodulation,[],[f137681,f822]) ).
fof(f137681,plain,
( ~ forallprefers(sF10,true)
| ~ spl21_3
| ~ spl21_26
| ~ spl21_33
| spl21_171
| ~ spl21_388
| ~ spl21_424 ),
inference(forward_demodulation,[],[f137680,f233]) ).
fof(f137680,plain,
( ~ forallprefers(lazy_impl(true,sF9),true)
| ~ spl21_3
| ~ spl21_26
| ~ spl21_33
| spl21_171
| ~ spl21_388
| ~ spl21_424 ),
inference(forward_demodulation,[],[f137679,f256]) ).
fof(f137679,plain,
( ~ forallprefers(lazy_impl(prop(false1),sF9),true)
| ~ spl21_3
| ~ spl21_26
| ~ spl21_33
| spl21_171
| ~ spl21_388
| ~ spl21_424 ),
inference(forward_demodulation,[],[f137678,f89552]) ).
fof(f137678,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(sF9,false1)),true)
| ~ spl21_3
| ~ spl21_26
| ~ spl21_33
| spl21_171
| ~ spl21_388
| ~ spl21_424 ),
inference(forward_demodulation,[],[f137677,f822]) ).
fof(f137677,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(sF10,false1)),true)
| ~ spl21_3
| ~ spl21_26
| spl21_171
| ~ spl21_388
| ~ spl21_424 ),
inference(forward_demodulation,[],[f137676,f233]) ).
fof(f137676,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(lazy_impl(true,sF9),false1)),true)
| ~ spl21_3
| ~ spl21_26
| spl21_171
| ~ spl21_388
| ~ spl21_424 ),
inference(forward_demodulation,[],[f137449,f89552]) ).
fof(f137449,plain,
( ~ forallprefers(lazy_impl(prop(false1),impl(lazy_impl(true,impl(sF9,false1)),false1)),true)
| ~ spl21_3
| ~ spl21_26
| spl21_171
| ~ spl21_388 ),
inference(superposition,[],[f125104,f100841]) ).
fof(f100841,plain,
( sF9 = sF20(sK0(false1,sK6))
| ~ spl21_26
| spl21_171 ),
inference(resolution,[],[f45067,f782]) ).
fof(f125104,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),true)
| ~ spl21_3
| ~ spl21_388 ),
inference(forward_demodulation,[],[f125103,f208]) ).
fof(f208,plain,
! [X0] : true = lazy_impl(false1,X0),
inference(definition_unfolding,[],[f149,f141]) ).
fof(f149,plain,
! [X0] : true = lazy_impl(false,X0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : true = lazy_impl(false,X0),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] : true = lazy_impl(false,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom2) ).
fof(f125103,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(false1,sF15))
| ~ spl21_3
| ~ spl21_388 ),
inference(forward_demodulation,[],[f125102,f267]) ).
fof(f125102,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(sF12,sF15))
| ~ spl21_388 ),
inference(forward_demodulation,[],[f124875,f235]) ).
fof(f124875,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sF20(sK0(X0,sK6)),X0)),X0)),lazy_impl(prop(sF11),sF15))
| ~ spl21_388 ),
inference(forward_demodulation,[],[f124874,f88192]) ).
fof(f133777,plain,
( spl21_453
| ~ spl21_32 ),
inference(avatar_split_clause,[],[f133765,f816,f90316]) ).
fof(f133765,plain,
( ! [X54] : or1(false1,sF20(X54)) = sF20(X54)
| ~ spl21_32 ),
inference(trivial_inequality_removal,[],[f133701]) ).
fof(f133701,plain,
( ! [X54] :
( or1(false1,sF20(X54)) = sF20(X54)
| sF20(X54) != sF20(X54) )
| ~ spl21_32 ),
inference(superposition,[],[f25039,f126554]) ).
fof(f25039,plain,
! [X0] :
( lazy_impl(true,X0) != X0
| or1(false1,X0) = X0 ),
inference(equality_factoring,[],[f2445]) ).
fof(f2445,plain,
! [X6] :
( or1(false1,X6) = lazy_impl(true,X6)
| or1(false1,X6) = X6 ),
inference(resolution,[],[f2402,f189]) ).
fof(f189,plain,
! [X0] :
( ~ bool(X0)
| or1(false1,X0) = X0 ),
inference(definition_unfolding,[],[f115,f141]) ).
fof(f115,plain,
! [X0] :
( ~ bool(X0)
| or1(false,X0) = X0 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( or1(false,X0) = X0
| ~ bool(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( bool(X0)
=> or1(false,X0) = X0 ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X3] :
( bool(X3)
=> or1(false,X3) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom4) ).
fof(f126041,plain,
( spl21_607
| spl21_399
| ~ spl21_42
| ~ spl21_409
| ~ spl21_428 ),
inference(avatar_split_clause,[],[f126040,f89687,f89369,f1050,f89308,f125411]) ).
fof(f126040,plain,
( ! [X53] :
( true = impl(false1,sF9)
| ~ forallprefers(sF9,impl(sF20(sK0(X53,sK6)),X53)) )
| ~ spl21_42
| ~ spl21_409
| ~ spl21_428 ),
inference(forward_demodulation,[],[f112475,f89688]) ).
fof(f112475,plain,
( ! [X53] :
( ~ forallprefers(sF15,impl(sF20(sK0(X53,sK6)),X53))
| true = impl(false1,sF9) )
| ~ spl21_42
| ~ spl21_409 ),
inference(forward_demodulation,[],[f112292,f89371]) ).
fof(f112292,plain,
( ! [X53] :
( ~ forallprefers(not1(sF9),impl(sF20(sK0(X53,sK6)),X53))
| true = impl(false1,sF9) )
| ~ spl21_42 ),
inference(superposition,[],[f3664,f18529]) ).
fof(f3664,plain,
( ! [X1] : ~ forallprefers(impl(sF9,X1),impl(sF20(sK0(X1,sK6)),X1))
| ~ spl21_42 ),
inference(forward_demodulation,[],[f3656,f1052]) ).
fof(f3656,plain,
! [X1] : ~ forallprefers(impl(sF14,X1),impl(sF20(sK0(X1,sK6)),X1)),
inference(superposition,[],[f3373,f286]) ).
fof(f125793,plain,
( spl21_434
| spl21_598
| ~ spl21_409
| ~ spl21_428 ),
inference(avatar_split_clause,[],[f125792,f89687,f89369,f125197,f90132]) ).
fof(f125792,plain,
( sF9 = sF16
| true = prop(sF9)
| ~ spl21_409
| ~ spl21_428 ),
inference(forward_demodulation,[],[f125791,f89688]) ).
fof(f125791,plain,
( sF9 = sF16
| true = prop(sF15)
| ~ spl21_409
| ~ spl21_428 ),
inference(forward_demodulation,[],[f125790,f89688]) ).
fof(f125790,plain,
( sF15 = sF16
| true = prop(sF15)
| ~ spl21_409
| ~ spl21_428 ),
inference(forward_demodulation,[],[f125789,f89371]) ).
fof(f125789,plain,
( not1(sF9) = sF16
| true = prop(sF15)
| ~ spl21_428 ),
inference(forward_demodulation,[],[f2044,f89688]) ).
fof(f2044,plain,
( true = prop(sF15)
| not1(sF15) = sF16 ),
inference(superposition,[],[f353,f239]) ).
fof(f125612,plain,
( spl21_586
| spl21_27 ),
inference(avatar_split_clause,[],[f1082,f784,f125067]) ).
fof(f1082,plain,
( ! [X2] : sF10 = impl(sF9,X2)
| spl21_27 ),
inference(forward_demodulation,[],[f1074,f233]) ).
fof(f1074,plain,
( ! [X2] : impl(sF9,X2) = lazy_impl(true,sF9)
| spl21_27 ),
inference(resolution,[],[f785,f203]) ).
fof(f125552,plain,
( spl21_30
| spl21_413 ),
inference(avatar_split_clause,[],[f26235,f89396,f807]) ).
fof(f807,plain,
( spl21_30
<=> err = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_30])]) ).
fof(f26235,plain,
( sF9 = impl(true,sF9)
| err = sF10 ),
inference(superposition,[],[f233,f25953]) ).
fof(f125265,plain,
( spl21_30
| spl21_32 ),
inference(avatar_split_clause,[],[f125264,f816,f807]) ).
fof(f125264,plain,
! [X0] :
( d(sF20(X0))
| err = sF10 ),
inference(forward_demodulation,[],[f91467,f233]) ).
fof(f91467,plain,
! [X0] :
( err = lazy_impl(true,sF9)
| d(sF20(X0)) ),
inference(forward_demodulation,[],[f91466,f285]) ).
fof(f91466,plain,
! [X0] :
( err = lazy_impl(true,sF20(sF8))
| d(sF20(X0)) ),
inference(forward_demodulation,[],[f91465,f231]) ).
fof(f91465,plain,
! [X0] :
( err = lazy_impl(true,sF20(sK2(sK6)))
| d(sF20(X0)) ),
inference(forward_demodulation,[],[f20336,f244]) ).
fof(f20336,plain,
! [X0] :
( d(sF20(X0))
| err = lazy_impl(true,apply(sK6,sK2(sK6))) ),
inference(superposition,[],[f1955,f244]) ).
fof(f1955,plain,
! [X0,X1] :
( d(apply(X0,X1))
| err = lazy_impl(true,apply(X0,sK2(X0))) ),
inference(resolution,[],[f312,f199]) ).
fof(f199,plain,
! [X0] :
( d(X0)
| err = lazy_impl(true,X0) ),
inference(definition_unfolding,[],[f133,f138]) ).
fof(f133,plain,
! [X0] :
( err = phi(X0)
| d(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f125088,plain,
( spl21_434
| spl21_33
| ~ spl21_421 ),
inference(avatar_split_clause,[],[f125087,f89504,f820,f90132]) ).
fof(f125087,plain,
( sF10 = sF9
| true = prop(sF9)
| ~ spl21_421 ),
inference(forward_demodulation,[],[f2060,f89506]) ).
fof(f89506,plain,
( sF9 = not1(sF9)
| ~ spl21_421 ),
inference(avatar_component_clause,[],[f89504]) ).
fof(f2060,plain,
( sF10 = not1(sF9)
| true = prop(sF9) ),
inference(superposition,[],[f233,f353]) ).
fof(f124479,plain,
( spl21_51
| spl21_84
| ~ spl21_3
| ~ spl21_87 ),
inference(avatar_split_clause,[],[f124478,f6090,f266,f5908,f1161]) ).
fof(f6090,plain,
( spl21_87
<=> ! [X5] : impl(sF11,X5) = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_87])]) ).
fof(f124478,plain,
( true = false1
| sF11 = lazy_impl(true,sF11)
| ~ spl21_3
| ~ spl21_87 ),
inference(forward_demodulation,[],[f124477,f267]) ).
fof(f124477,plain,
( sF11 = lazy_impl(true,sF11)
| true = sF12
| ~ spl21_87 ),
inference(forward_demodulation,[],[f96408,f235]) ).
fof(f96408,plain,
( sF11 = lazy_impl(true,sF11)
| true = prop(sF11)
| ~ spl21_87 ),
inference(superposition,[],[f6091,f428]) ).
fof(f6091,plain,
( ! [X5] : impl(sF11,X5) = sF11
| ~ spl21_87 ),
inference(avatar_component_clause,[],[f6090]) ).
fof(f116760,plain,
( ~ spl21_300
| ~ spl21_19
| spl21_23 ),
inference(avatar_split_clause,[],[f116759,f738,f711,f87218]) ).
fof(f116759,plain,
( err != sF15
| ~ spl21_19
| spl21_23 ),
inference(forward_demodulation,[],[f739,f713]) ).
fof(f739,plain,
( sF15 != sF16
| spl21_23 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f114187,plain,
( spl21_547
| ~ spl21_173
| ~ spl21_525 ),
inference(avatar_split_clause,[],[f114118,f100405,f45222,f114172]) ).
fof(f100405,plain,
( spl21_525
<=> ! [X0] :
( bool(impl(sF20(X0),false1))
| ~ d(impl(sF20(X0),false1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_525])]) ).
fof(f114118,plain,
( ! [X0] : bool(impl(sF20(X0),false1))
| ~ spl21_173
| ~ spl21_525 ),
inference(resolution,[],[f100406,f45223]) ).
fof(f100406,plain,
( ! [X0] :
( ~ d(impl(sF20(X0),false1))
| bool(impl(sF20(X0),false1)) )
| ~ spl21_525 ),
inference(avatar_component_clause,[],[f100405]) ).
fof(f100831,plain,
( spl21_160
| spl21_161
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f100697,f45066,f44660,f44655]) ).
fof(f100697,plain,
( false1 = sF20(sK0(false1,sK6))
| true = sF20(sK0(false1,sK6))
| ~ spl21_171 ),
inference(resolution,[],[f45068,f216]) ).
fof(f45068,plain,
( bool(sF20(sK0(false1,sK6)))
| ~ spl21_171 ),
inference(avatar_component_clause,[],[f45066]) ).
fof(f100829,plain,
( ~ spl21_52
| ~ spl21_160
| ~ spl21_400 ),
inference(avatar_split_clause,[],[f100828,f89320,f44655,f1165]) ).
fof(f1165,plain,
( spl21_52
<=> forallprefers(err,false1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_52])]) ).
fof(f100828,plain,
( ~ forallprefers(err,false1)
| ~ spl21_160
| ~ spl21_400 ),
inference(forward_demodulation,[],[f100789,f89321]) ).
fof(f100789,plain,
( ~ forallprefers(impl(sF9,false1),false1)
| ~ spl21_160 ),
inference(superposition,[],[f100769,f285]) ).
fof(f100769,plain,
( ! [X0] : ~ forallprefers(impl(sF20(X0),false1),false1)
| ~ spl21_160 ),
inference(forward_demodulation,[],[f100709,f287]) ).
fof(f100709,plain,
( ! [X0] : ~ forallprefers(impl(sF20(X0),false1),impl(true,false1))
| ~ spl21_160 ),
inference(superposition,[],[f3373,f44657]) ).
fof(f100419,plain,
( spl21_55
| ~ spl21_56
| ~ spl21_82
| ~ spl21_81
| spl21_524 ),
inference(avatar_split_clause,[],[f100416,f100400,f5842,f5868,f1290,f1286]) ).
fof(f1290,plain,
( spl21_56
<=> d(err) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_56])]) ).
fof(f100416,plain,
( ~ d(true)
| ~ bool(true)
| ~ d(err)
| bool(err)
| spl21_524 ),
inference(resolution,[],[f100402,f158]) ).
fof(f100402,plain,
( ~ forallprefers(err,true)
| spl21_524 ),
inference(avatar_component_clause,[],[f100400]) ).
fof(f100413,plain,
( ~ spl21_524
| ~ spl21_161
| ~ spl21_400 ),
inference(avatar_split_clause,[],[f100412,f89320,f44660,f100400]) ).
fof(f100412,plain,
( ~ forallprefers(err,true)
| ~ spl21_161
| ~ spl21_400 ),
inference(forward_demodulation,[],[f100363,f89321]) ).
fof(f100363,plain,
( ~ forallprefers(impl(sF9,false1),true)
| ~ spl21_161 ),
inference(superposition,[],[f87110,f285]) ).
fof(f87110,plain,
( ! [X0] : ~ forallprefers(impl(sF20(X0),false1),true)
| ~ spl21_161 ),
inference(forward_demodulation,[],[f86980,f309]) ).
fof(f86980,plain,
( ! [X0] : ~ forallprefers(impl(sF20(X0),false1),impl(false1,false1))
| ~ spl21_161 ),
inference(superposition,[],[f3373,f44662]) ).
fof(f100407,plain,
( ~ spl21_82
| ~ spl21_81
| spl21_525
| ~ spl21_161 ),
inference(avatar_split_clause,[],[f100360,f44660,f100405,f5842,f5868]) ).
fof(f100360,plain,
( ! [X0] :
( bool(impl(sF20(X0),false1))
| ~ d(true)
| ~ d(impl(sF20(X0),false1))
| ~ bool(true) )
| ~ spl21_161 ),
inference(resolution,[],[f87110,f158]) ).
fof(f98692,plain,
( spl21_84
| spl21_27
| ~ spl21_43 ),
inference(avatar_split_clause,[],[f98691,f1063,f784,f5908]) ).
fof(f98691,plain,
( true = false1
| spl21_27
| ~ spl21_43 ),
inference(forward_demodulation,[],[f98648,f256]) ).
fof(f98648,plain,
( false1 = prop(false1)
| spl21_27
| ~ spl21_43 ),
inference(superposition,[],[f1072,f1065]) ).
fof(f98678,plain,
( spl21_48
| ~ spl21_30
| ~ spl21_43 ),
inference(avatar_split_clause,[],[f98677,f1063,f807,f1139]) ).
fof(f98677,plain,
( err = false1
| ~ spl21_30
| ~ spl21_43 ),
inference(forward_demodulation,[],[f98676,f809]) ).
fof(f809,plain,
( err = sF10
| ~ spl21_30 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f98676,plain,
( false1 = sF10
| ~ spl21_43 ),
inference(forward_demodulation,[],[f98640,f302]) ).
fof(f98640,plain,
( sF10 = lazy_impl(true,false1)
| ~ spl21_43 ),
inference(superposition,[],[f233,f1065]) ).
fof(f98671,plain,
( ~ spl21_36
| spl21_4
| ~ spl21_43 ),
inference(avatar_split_clause,[],[f98644,f1063,f335,f904]) ).
fof(f98644,plain,
( ~ d(false1)
| spl21_4
| ~ spl21_43 ),
inference(superposition,[],[f337,f1065]) ).
fof(f337,plain,
( ~ d(sF9)
| spl21_4 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f98519,plain,
( ~ spl21_82
| spl21_27
| ~ spl21_44 ),
inference(avatar_split_clause,[],[f98479,f1067,f784,f5868]) ).
fof(f98479,plain,
( ~ bool(true)
| spl21_27
| ~ spl21_44 ),
inference(superposition,[],[f785,f1069]) ).
fof(f98513,plain,
( ~ spl21_81
| spl21_4
| ~ spl21_44 ),
inference(avatar_split_clause,[],[f98478,f1067,f335,f5842]) ).
fof(f98478,plain,
( ~ d(true)
| spl21_4
| ~ spl21_44 ),
inference(superposition,[],[f337,f1069]) ).
fof(f98510,plain,
( spl21_57
| ~ spl21_34
| ~ spl21_44 ),
inference(avatar_split_clause,[],[f98509,f1067,f826,f1319]) ).
fof(f98509,plain,
( true = err
| ~ spl21_34
| ~ spl21_44 ),
inference(forward_demodulation,[],[f98480,f300]) ).
fof(f98480,plain,
( err = lazy_impl(true,true)
| ~ spl21_34
| ~ spl21_44 ),
inference(superposition,[],[f828,f1069]) ).
fof(f828,plain,
( err = lazy_impl(true,sF9)
| ~ spl21_34 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f92285,plain,
( spl21_346
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f92284,f266,f87512]) ).
fof(f92284,plain,
( true = sF18
| ~ spl21_3 ),
inference(forward_demodulation,[],[f92282,f208]) ).
fof(f92282,plain,
( sF18 = lazy_impl(false1,sF17)
| ~ spl21_3 ),
inference(superposition,[],[f241,f267]) ).
fof(f91746,plain,
( spl21_353
| ~ spl21_20 ),
inference(avatar_split_clause,[],[f89080,f724,f87549]) ).
fof(f89080,plain,
( sF18 = and1(true,sF18)
| ~ spl21_20 ),
inference(trivial_inequality_removal,[],[f89079]) ).
fof(f89079,plain,
( sF18 = and1(true,sF18)
| sF18 != sF18
| ~ spl21_20 ),
inference(forward_demodulation,[],[f23198,f726]) ).
fof(f23198,plain,
( sF18 = and1(true,sF18)
| sF18 != sF19 ),
inference(superposition,[],[f23149,f242]) ).
fof(f23149,plain,
! [X0] :
( lazy_impl(true,X0) != X0
| and1(true,X0) = X0 ),
inference(equality_factoring,[],[f2347]) ).
fof(f2347,plain,
! [X2] :
( and1(true,X2) = lazy_impl(true,X2)
| and1(true,X2) = X2 ),
inference(resolution,[],[f2332,f161]) ).
fof(f161,plain,
! [X0] :
( ~ bool(X0)
| and1(true,X0) = X0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( and1(true,X0) = X0
| ~ bool(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( bool(X0)
=> and1(true,X0) = X0 ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] :
( bool(X3)
=> and1(true,X3) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and1_axiom4) ).
fof(f91619,plain,
( ~ spl21_300
| spl21_19
| ~ spl21_23 ),
inference(avatar_split_clause,[],[f91617,f738,f711,f87218]) ).
fof(f91617,plain,
( err != sF15
| spl21_19
| ~ spl21_23 ),
inference(superposition,[],[f712,f740]) ).
fof(f712,plain,
( err != sF16
| spl21_19 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f90024,plain,
( spl21_398
| spl21_44
| spl21_43
| ~ spl21_34 ),
inference(avatar_split_clause,[],[f8225,f826,f1063,f1067,f89304]) ).
fof(f8225,plain,
( false1 = sF9
| true = sF9
| err = not1(sF9)
| ~ spl21_34 ),
inference(superposition,[],[f828,f359]) ).
fof(f89949,plain,
( spl21_4
| ~ spl21_32 ),
inference(avatar_split_clause,[],[f844,f816,f335]) ).
fof(f844,plain,
( d(sF9)
| ~ spl21_32 ),
inference(superposition,[],[f817,f285]) ).
fof(f89900,plain,
( spl21_424
| spl21_84
| spl21_27
| ~ spl21_32
| ~ spl21_42 ),
inference(avatar_split_clause,[],[f89899,f1050,f816,f784,f5908,f89551]) ).
fof(f89899,plain,
( ! [X9] :
( true = false1
| sF9 = impl(sF9,X9) )
| spl21_27
| ~ spl21_32
| ~ spl21_42 ),
inference(forward_demodulation,[],[f54911,f1072]) ).
fof(f54911,plain,
( ! [X9] :
( sF9 = impl(sF9,X9)
| true = prop(sF9) )
| ~ spl21_32
| ~ spl21_42 ),
inference(forward_demodulation,[],[f54910,f1052]) ).
fof(f54910,plain,
( ! [X9] :
( impl(sF14,X9) = sF14
| true = prop(sF9) )
| ~ spl21_32
| ~ spl21_42 ),
inference(forward_demodulation,[],[f54741,f1052]) ).
fof(f54741,plain,
( ! [X9] :
( true = prop(sF14)
| impl(sF14,X9) = sF14 )
| ~ spl21_32 ),
inference(superposition,[],[f3048,f286]) ).
fof(f3048,plain,
( ! [X34,X35] :
( sF20(X34) = impl(sF20(X34),X35)
| true = prop(sF20(X34)) )
| ~ spl21_32 ),
inference(superposition,[],[f428,f843]) ).
fof(f843,plain,
( ! [X0] : sF20(X0) = lazy_impl(true,sF20(X0))
| ~ spl21_32 ),
inference(resolution,[],[f817,f200]) ).
fof(f89836,plain,
( spl21_424
| spl21_84
| spl21_27
| ~ spl21_32 ),
inference(avatar_split_clause,[],[f89835,f816,f784,f5908,f89551]) ).
fof(f89835,plain,
( ! [X7] :
( true = false1
| sF9 = impl(sF9,X7) )
| spl21_27
| ~ spl21_32 ),
inference(forward_demodulation,[],[f54739,f1072]) ).
fof(f54739,plain,
( ! [X7] :
( true = prop(sF9)
| sF9 = impl(sF9,X7) )
| ~ spl21_32 ),
inference(superposition,[],[f3048,f285]) ).
fof(f89810,plain,
( spl21_43
| spl21_44
| spl21_400
| ~ spl21_30 ),
inference(avatar_split_clause,[],[f89809,f807,f89320,f1067,f1063]) ).
fof(f89809,plain,
( ! [X101] :
( err = impl(sF9,X101)
| true = sF9
| false1 = sF9 )
| ~ spl21_30 ),
inference(forward_demodulation,[],[f28298,f809]) ).
fof(f28298,plain,
! [X101] :
( true = sF9
| false1 = sF9
| sF10 = impl(sF9,X101) ),
inference(superposition,[],[f434,f233]) ).
fof(f89685,plain,
( spl21_84
| spl21_414
| spl21_27
| ~ spl21_32 ),
inference(avatar_split_clause,[],[f89684,f816,f784,f89401,f5908]) ).
fof(f89684,plain,
( sF9 = impl(false1,sF9)
| true = false1
| spl21_27
| ~ spl21_32 ),
inference(forward_demodulation,[],[f55035,f1072]) ).
fof(f55035,plain,
( sF9 = impl(false1,sF9)
| true = prop(sF9)
| ~ spl21_32 ),
inference(superposition,[],[f4332,f285]) ).
fof(f4332,plain,
( ! [X13] :
( impl(false1,sF20(X13)) = sF20(X13)
| true = prop(sF20(X13)) )
| ~ spl21_32 ),
inference(superposition,[],[f2507,f843]) ).
fof(f89447,plain,
( spl21_413
| ~ spl21_32 ),
inference(avatar_split_clause,[],[f26020,f816,f89396]) ).
fof(f26020,plain,
( sF9 = impl(true,sF9)
| ~ spl21_32 ),
inference(superposition,[],[f25958,f285]) ).
fof(f25958,plain,
( ! [X52] : sF20(X52) = impl(true,sF20(X52))
| ~ spl21_32 ),
inference(duplicate_literal_removal,[],[f25787]) ).
fof(f25787,plain,
( ! [X52] :
( sF20(X52) = impl(true,sF20(X52))
| sF20(X52) = impl(true,sF20(X52)) )
| ~ spl21_32 ),
inference(superposition,[],[f2486,f843]) ).
fof(f89327,plain,
( spl21_27
| spl21_401 ),
inference(avatar_split_clause,[],[f23316,f89325,f784]) ).
fof(f23316,plain,
! [X0] :
( true = prop(sF20(X0))
| bool(sF9)
| sF9 = sF20(X0) ),
inference(superposition,[],[f767,f285]) ).
fof(f767,plain,
! [X0,X1] :
( bool(sF20(X0))
| true = prop(sF20(X1))
| sF20(X0) = sF20(X1) ),
inference(resolution,[],[f245,f131]) ).
fof(f245,plain,
! [X2,X1] :
( bool(sF20(X2))
| bool(sF20(X1))
| sF20(X1) = sF20(X2) ),
inference(definition_folding,[],[f171,f244,f244,f244,f244]) ).
fof(f171,plain,
! [X2,X1] :
( bool(apply(sK6,X2))
| apply(sK6,X2) = apply(sK6,X1)
| bool(apply(sK6,X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f89161,plain,
( spl21_344
| ~ spl21_2
| ~ spl21_10
| ~ spl21_37
| ~ spl21_46 ),
inference(avatar_split_clause,[],[f89160,f1128,f908,f468,f252,f87498]) ).
fof(f89160,plain,
( true = prop(err)
| ~ spl21_2
| ~ spl21_10
| ~ spl21_37
| ~ spl21_46 ),
inference(forward_demodulation,[],[f89159,f1130]) ).
fof(f89159,plain,
( true = prop(lazy_impl(true,sF11))
| ~ spl21_2
| ~ spl21_10
| ~ spl21_37 ),
inference(forward_demodulation,[],[f2195,f253]) ).
fof(f2195,plain,
( true = prop(lazy_impl(sF12,sF11))
| ~ spl21_10
| ~ spl21_37 ),
inference(superposition,[],[f2153,f235]) ).
fof(f88984,plain,
( spl21_288
| ~ spl21_23 ),
inference(avatar_split_clause,[],[f88983,f738,f87145]) ).
fof(f88983,plain,
( sF15 = impl(true,sF15)
| ~ spl21_23 ),
inference(duplicate_literal_removal,[],[f88982]) ).
fof(f88982,plain,
( sF15 = impl(true,sF15)
| sF15 = impl(true,sF15)
| ~ spl21_23 ),
inference(forward_demodulation,[],[f25783,f740]) ).
fof(f25783,plain,
( impl(true,sF15) = sF16
| sF15 = impl(true,sF15) ),
inference(superposition,[],[f2486,f239]) ).
fof(f88957,plain,
( spl21_294
| spl21_324
| spl21_395
| ~ spl21_23 ),
inference(avatar_split_clause,[],[f88956,f738,f88446,f87361,f87177]) ).
fof(f88956,plain,
( sF17 = impl(true,sF15)
| false1 = sF15
| true = sF15
| ~ spl21_23 ),
inference(forward_demodulation,[],[f88955,f740]) ).
fof(f88955,plain,
( false1 = sF15
| sF17 = impl(true,sF15)
| true = sF16
| ~ spl21_23 ),
inference(forward_demodulation,[],[f88954,f740]) ).
fof(f88954,plain,
( false1 = sF16
| true = sF16
| sF17 = impl(true,sF15)
| ~ spl21_23 ),
inference(forward_demodulation,[],[f68655,f740]) ).
fof(f68655,plain,
( impl(true,sF16) = sF17
| false1 = sF16
| true = sF16 ),
inference(superposition,[],[f62608,f240]) ).
fof(f88763,plain,
( spl21_352
| spl21_299
| ~ spl21_46 ),
inference(avatar_split_clause,[],[f27599,f1128,f87208,f87543]) ).
fof(f27599,plain,
( err = impl(true,sF11)
| true = impl(false1,sF11)
| ~ spl21_46 ),
inference(superposition,[],[f2495,f1130]) ).
fof(f88642,plain,
( spl21_392
| ~ spl21_40 ),
inference(avatar_split_clause,[],[f25111,f957,f88348]) ).
fof(f957,plain,
( spl21_40
<=> sF17 = lazy_impl(true,sF17) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_40])]) ).
fof(f25111,plain,
( sF17 = or1(false1,sF17)
| ~ spl21_40 ),
inference(trivial_inequality_removal,[],[f25087]) ).
fof(f25087,plain,
( sF17 != sF17
| sF17 = or1(false1,sF17)
| ~ spl21_40 ),
inference(superposition,[],[f25039,f959]) ).
fof(f959,plain,
( sF17 = lazy_impl(true,sF17)
| ~ spl21_40 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f88219,plain,
( spl21_382
| ~ spl21_350
| ~ spl21_23 ),
inference(avatar_split_clause,[],[f88218,f738,f87533,f88031]) ).
fof(f88218,plain,
( true != sF17
| true = impl(false1,sF15)
| ~ spl21_23 ),
inference(forward_demodulation,[],[f52257,f740]) ).
fof(f52257,plain,
( true != sF17
| true = impl(false1,sF16) ),
inference(superposition,[],[f52123,f240]) ).
fof(f52123,plain,
! [X18,X17] :
( true != impl(X17,X18)
| true = impl(false1,X17) ),
inference(duplicate_literal_removal,[],[f52062]) ).
fof(f52062,plain,
! [X18,X17] :
( true != impl(X17,X18)
| true = impl(false1,X17)
| true = impl(false1,X17) ),
inference(superposition,[],[f52049,f27774]) ).
fof(f52049,plain,
! [X0] :
( true != impl(true,X0)
| true = impl(false1,X0) ),
inference(equality_factoring,[],[f29133]) ).
fof(f29133,plain,
! [X40] :
( impl(true,X40) = impl(false1,X40)
| true = impl(false1,X40) ),
inference(duplicate_literal_removal,[],[f29009]) ).
fof(f29009,plain,
! [X40] :
( impl(true,X40) = impl(false1,X40)
| true = impl(false1,X40)
| true = impl(false1,X40) ),
inference(superposition,[],[f2495,f2517]) ).
fof(f88091,plain,
( spl21_381
| spl21_294
| spl21_324
| ~ spl21_23 ),
inference(avatar_split_clause,[],[f88090,f738,f87361,f87177,f88027]) ).
fof(f88090,plain,
( false1 = sF15
| true = sF15
| sF15 = impl(false1,sF15)
| ~ spl21_23 ),
inference(forward_demodulation,[],[f63094,f740]) ).
fof(f63094,plain,
( false1 = sF15
| sF16 = impl(false1,sF15)
| true = sF15 ),
inference(superposition,[],[f239,f2516]) ).
fof(f87681,plain,
( spl21_306
| ~ spl21_104 ),
inference(avatar_split_clause,[],[f21009,f9310,f87252]) ).
fof(f9310,plain,
( spl21_104
<=> ! [X11] : true = prop(prop(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_104])]) ).
fof(f21009,plain,
( true = impl(false1,sF12)
| ~ spl21_104 ),
inference(superposition,[],[f20636,f235]) ).
fof(f20636,plain,
( ! [X13] : true = impl(false1,prop(X13))
| ~ spl21_104 ),
inference(resolution,[],[f20599,f219]) ).
fof(f20599,plain,
( ! [X0] : bool(prop(X0))
| ~ spl21_104 ),
inference(trivial_inequality_removal,[],[f20519]) ).
fof(f20519,plain,
( ! [X0] :
( true != true
| bool(prop(X0)) )
| ~ spl21_104 ),
inference(superposition,[],[f130,f9311]) ).
fof(f9311,plain,
( ! [X11] : true = prop(prop(X11))
| ~ spl21_104 ),
inference(avatar_component_clause,[],[f9310]) ).
fof(f87139,plain,
( spl21_3
| spl21_16
| spl21_17 ),
inference(avatar_split_clause,[],[f2019,f634,f630,f266]) ).
fof(f2019,plain,
( true = sF11
| false1 = sF11
| false1 = sF12 ),
inference(superposition,[],[f235,f352]) ).
fof(f44931,plain,
spl21_165,
inference(avatar_contradiction_clause,[],[f44928]) ).
fof(f44928,plain,
( $false
| spl21_165 ),
inference(resolution,[],[f44901,f226]) ).
fof(f226,plain,
forallprefers(false1,true),
inference(equality_resolution,[],[f225]) ).
fof(f225,plain,
! [X1] :
( false1 != X1
| forallprefers(X1,true) ),
inference(equality_resolution,[],[f214]) ).
fof(f214,plain,
! [X0,X1] :
( true != X0
| false1 != X1
| forallprefers(X1,X0) ),
inference(definition_unfolding,[],[f159,f141]) ).
fof(f159,plain,
! [X0,X1] :
( true != X0
| false != X1
| forallprefers(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f44901,plain,
( ~ forallprefers(false1,true)
| spl21_165 ),
inference(avatar_component_clause,[],[f44899]) ).
fof(f44118,plain,
~ spl21_84,
inference(avatar_contradiction_clause,[],[f44117]) ).
fof(f44117,plain,
( $false
| ~ spl21_84 ),
inference(trivial_inequality_removal,[],[f43968]) ).
fof(f43968,plain,
( true != true
| ~ spl21_84 ),
inference(superposition,[],[f194,f5910]) ).
fof(f5910,plain,
( true = false1
| ~ spl21_84 ),
inference(avatar_component_clause,[],[f5908]) ).
fof(f194,plain,
true != false1,
inference(definition_unfolding,[],[f124,f141]) ).
fof(f124,plain,
false != true,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( false != err
& false != true
& true != err ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_false_true_err) ).
fof(f42298,plain,
( ~ spl21_44
| ~ spl21_3
| ~ spl21_20
| ~ spl21_33 ),
inference(avatar_split_clause,[],[f1627,f820,f724,f266,f1067]) ).
fof(f1627,plain,
( true != sF9
| ~ spl21_3
| ~ spl21_20
| ~ spl21_33 ),
inference(superposition,[],[f1617,f822]) ).
fof(f1617,plain,
( true != sF10
| ~ spl21_3
| ~ spl21_20 ),
inference(forward_demodulation,[],[f1616,f1612]) ).
fof(f1612,plain,
( true = sF18
| ~ spl21_3 ),
inference(forward_demodulation,[],[f1611,f208]) ).
fof(f1611,plain,
( sF18 = lazy_impl(false1,sF17)
| ~ spl21_3 ),
inference(superposition,[],[f241,f267]) ).
fof(f20816,plain,
( spl21_127
| spl21_55
| ~ spl21_10
| ~ spl21_37
| ~ spl21_104 ),
inference(avatar_split_clause,[],[f20773,f9310,f908,f468,f1286,f20814]) ).
fof(f20773,plain,
( ! [X1] :
( bool(err)
| lazy_impl(true,prop(X1)) = prop(X1) )
| ~ spl21_10
| ~ spl21_37
| ~ spl21_104 ),
inference(superposition,[],[f20533,f198]) ).
fof(f20533,plain,
( ! [X21] : bool(lazy_impl(true,prop(X21)))
| ~ spl21_10
| ~ spl21_37
| ~ spl21_104 ),
inference(superposition,[],[f2122,f9311]) ).
fof(f20491,plain,
( spl21_104
| spl21_55
| ~ spl21_10
| ~ spl21_37 ),
inference(avatar_split_clause,[],[f20490,f908,f468,f1286,f9310]) ).
fof(f20490,plain,
( ! [X6] :
( bool(err)
| true = prop(prop(X6)) )
| ~ spl21_10
| ~ spl21_37 ),
inference(forward_demodulation,[],[f20468,f301]) ).
fof(f20468,plain,
( ! [X6] :
( true = prop(prop(X6))
| bool(lazy_impl(true,err)) )
| ~ spl21_10
| ~ spl21_37 ),
inference(duplicate_literal_removal,[],[f20460]) ).
fof(f20460,plain,
( ! [X6] :
( bool(lazy_impl(true,err))
| true = prop(prop(X6))
| true = prop(prop(X6)) )
| ~ spl21_10
| ~ spl21_37 ),
inference(superposition,[],[f9171,f20410]) ).
fof(f20410,plain,
( ! [X2] :
( err = not1(prop(X2))
| true = prop(prop(X2)) )
| ~ spl21_10
| ~ spl21_37 ),
inference(duplicate_literal_removal,[],[f20349]) ).
fof(f20349,plain,
( ! [X2] :
( true = prop(prop(X2))
| true = prop(prop(X2))
| true = prop(prop(X2))
| err = not1(prop(X2)) )
| ~ spl21_10
| ~ spl21_37 ),
inference(superposition,[],[f2914,f2050]) ).
fof(f2050,plain,
! [X1] :
( not1(X1) = X1
| err = not1(X1)
| true = prop(X1) ),
inference(superposition,[],[f198,f353]) ).
fof(f2914,plain,
( ! [X21] :
( true = prop(not1(prop(X21)))
| true = prop(prop(X21)) )
| ~ spl21_10
| ~ spl21_37 ),
inference(superposition,[],[f2153,f2792]) ).
fof(f2792,plain,
! [X4,X5] :
( not1(X4) = lazy_impl(X4,X5)
| true = prop(X4) ),
inference(duplicate_literal_removal,[],[f2786]) ).
fof(f2786,plain,
! [X4,X5] :
( true = prop(X4)
| not1(X4) = lazy_impl(X4,X5)
| true = prop(X4) ),
inference(superposition,[],[f353,f418]) ).
fof(f9171,plain,
( ! [X21] :
( bool(lazy_impl(true,not1(prop(X21))))
| true = prop(prop(X21)) )
| ~ spl21_10
| ~ spl21_37 ),
inference(superposition,[],[f2122,f2914]) ).
fof(f6096,plain,
( spl21_87
| spl21_1
| ~ spl21_62 ),
inference(avatar_split_clause,[],[f1884,f1704,f248,f6090]) ).
fof(f1884,plain,
( ! [X2] : sF11 = impl(sF11,X2)
| spl21_1
| ~ spl21_62 ),
inference(forward_demodulation,[],[f1872,f1706]) ).
fof(f1706,plain,
( sF11 = not1(sF11)
| ~ spl21_62 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f1872,plain,
( ! [X2] : impl(sF11,X2) = not1(sF11)
| spl21_1 ),
inference(superposition,[],[f1604,f1606]) ).
fof(f1606,plain,
( lazy_impl(true,sF11) = not1(sF11)
| spl21_1 ),
inference(resolution,[],[f249,f217]) ).
fof(f1604,plain,
( ! [X2] : lazy_impl(true,sF11) = impl(sF11,X2)
| spl21_1 ),
inference(resolution,[],[f249,f203]) ).
fof(f5886,plain,
spl21_82,
inference(avatar_contradiction_clause,[],[f5872]) ).
fof(f5872,plain,
( $false
| spl21_82 ),
inference(resolution,[],[f5870,f228]) ).
fof(f5870,plain,
( ~ bool(true)
| spl21_82 ),
inference(avatar_component_clause,[],[f5868]) ).
fof(f5862,plain,
spl21_81,
inference(avatar_contradiction_clause,[],[f5860]) ).
fof(f5860,plain,
( $false
| spl21_81 ),
inference(resolution,[],[f5844,f151]) ).
fof(f5844,plain,
( ~ d(true)
| spl21_81 ),
inference(avatar_component_clause,[],[f5842]) ).
fof(f1587,plain,
( spl21_1
| ~ spl21_17 ),
inference(avatar_contradiction_clause,[],[f1579]) ).
fof(f1579,plain,
( $false
| spl21_1
| ~ spl21_17 ),
inference(resolution,[],[f1572,f228]) ).
fof(f1572,plain,
( ~ bool(true)
| spl21_1
| ~ spl21_17 ),
inference(forward_demodulation,[],[f249,f636]) ).
fof(f1569,plain,
( spl21_20
| ~ spl21_25 ),
inference(avatar_split_clause,[],[f887,f754,f724]) ).
fof(f887,plain,
( sF18 = sF19
| ~ spl21_25 ),
inference(superposition,[],[f242,f756]) ).
fof(f1547,plain,
( spl21_19
| ~ spl21_24 ),
inference(avatar_split_clause,[],[f1505,f749,f711]) ).
fof(f1505,plain,
( err = sF16
| ~ spl21_24 ),
inference(superposition,[],[f239,f751]) ).
fof(f1540,plain,
( spl21_22
| ~ spl21_19
| ~ spl21_25
| ~ spl21_38
| spl21_55 ),
inference(avatar_split_clause,[],[f1539,f1286,f948,f754,f711,f733]) ).
fof(f1539,plain,
( err = sF19
| ~ spl21_19
| ~ spl21_25
| ~ spl21_38
| spl21_55 ),
inference(forward_demodulation,[],[f1519,f1531]) ).
fof(f1531,plain,
( err = sF17
| ~ spl21_19
| spl21_55 ),
inference(forward_demodulation,[],[f1236,f1426]) ).
fof(f1236,plain,
( impl(err,sF11) = sF17
| ~ spl21_19 ),
inference(superposition,[],[f240,f713]) ).
fof(f1519,plain,
( sF17 = sF19
| ~ spl21_25
| ~ spl21_38 ),
inference(forward_demodulation,[],[f887,f950]) ).
fof(f1517,plain,
( spl21_22
| ~ spl21_41 ),
inference(avatar_split_clause,[],[f1516,f961,f733]) ).
fof(f1516,plain,
( err = sF19
| ~ spl21_41 ),
inference(forward_demodulation,[],[f1335,f301]) ).
fof(f1335,plain,
( lazy_impl(true,err) = sF19
| ~ spl21_41 ),
inference(superposition,[],[f242,f963]) ).
fof(f1515,plain,
( ~ spl21_30
| ~ spl21_22 ),
inference(avatar_split_clause,[],[f1239,f733,f807]) ).
fof(f1239,plain,
( err != sF10
| ~ spl21_22 ),
inference(superposition,[],[f243,f735]) ).
fof(f1514,plain,
( spl21_30
| ~ spl21_34 ),
inference(avatar_split_clause,[],[f1511,f826,f807]) ).
fof(f1511,plain,
( err = sF10
| ~ spl21_34 ),
inference(superposition,[],[f233,f828]) ).
fof(f1431,plain,
spl21_56,
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1429,plain,
( $false
| spl21_56 ),
inference(resolution,[],[f1292,f153]) ).
fof(f1292,plain,
( ~ d(err)
| spl21_56 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1400,plain,
( ~ spl21_35
| spl21_1
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f1399,f630,f248,f900]) ).
fof(f1399,plain,
( ~ bool(false1)
| spl21_1
| ~ spl21_16 ),
inference(forward_demodulation,[],[f249,f632]) ).
fof(f1379,plain,
~ spl21_48,
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1378,plain,
( $false
| ~ spl21_48 ),
inference(trivial_inequality_removal,[],[f1351]) ).
fof(f1351,plain,
( err != err
| ~ spl21_48 ),
inference(superposition,[],[f193,f1141]) ).
fof(f1141,plain,
( err = false1
| ~ spl21_48 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f193,plain,
err != false1,
inference(definition_unfolding,[],[f125,f141]) ).
fof(f125,plain,
false != err,
inference(cnf_transformation,[],[f2]) ).
fof(f1350,plain,
~ spl21_57,
inference(avatar_contradiction_clause,[],[f1349]) ).
fof(f1349,plain,
( $false
| ~ spl21_57 ),
inference(trivial_inequality_removal,[],[f1347]) ).
fof(f1347,plain,
( true != true
| ~ spl21_57 ),
inference(superposition,[],[f123,f1321]) ).
fof(f1321,plain,
( true = err
| ~ spl21_57 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f123,plain,
true != err,
inference(cnf_transformation,[],[f2]) ).
fof(f1322,plain,
( spl21_48
| spl21_57
| ~ spl21_55 ),
inference(avatar_split_clause,[],[f1316,f1286,f1319,f1139]) ).
fof(f1316,plain,
( true = err
| err = false1
| ~ spl21_55 ),
inference(resolution,[],[f1288,f216]) ).
fof(f1288,plain,
( bool(err)
| ~ spl21_55 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f1308,plain,
( ~ spl21_16
| ~ spl21_24
| ~ spl21_53 ),
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1307,plain,
( $false
| ~ spl21_16
| ~ spl21_24
| ~ spl21_53 ),
inference(trivial_inequality_removal,[],[f1305]) ).
fof(f1305,plain,
( true != true
| ~ spl21_16
| ~ spl21_24
| ~ spl21_53 ),
inference(superposition,[],[f123,f1296]) ).
fof(f1296,plain,
( true = err
| ~ spl21_16
| ~ spl21_24
| ~ spl21_53 ),
inference(forward_demodulation,[],[f1295,f300]) ).
fof(f1295,plain,
( err = lazy_impl(true,true)
| ~ spl21_16
| ~ spl21_24
| ~ spl21_53 ),
inference(forward_demodulation,[],[f751,f1283]) ).
fof(f1283,plain,
( true = sF15
| ~ spl21_16
| ~ spl21_53 ),
inference(forward_demodulation,[],[f1254,f309]) ).
fof(f1254,plain,
( impl(false1,false1) = sF15
| ~ spl21_16
| ~ spl21_53 ),
inference(forward_demodulation,[],[f1242,f1230]) ).
fof(f1242,plain,
( sF15 = impl(sF14,false1)
| ~ spl21_16 ),
inference(superposition,[],[f238,f632]) ).
fof(f1293,plain,
( spl21_55
| ~ spl21_35
| ~ spl21_56
| ~ spl21_36
| spl21_52 ),
inference(avatar_split_clause,[],[f1265,f1165,f904,f1290,f900,f1286]) ).
fof(f1265,plain,
( ~ d(false1)
| ~ d(err)
| ~ bool(false1)
| bool(err)
| spl21_52 ),
inference(resolution,[],[f1167,f158]) ).
fof(f1167,plain,
( ~ forallprefers(err,false1)
| spl21_52 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1168,plain,
( spl21_51
| ~ spl21_52
| ~ spl21_2
| ~ spl21_6
| ~ spl21_9 ),
inference(avatar_split_clause,[],[f1159,f403,f376,f252,f1165,f1161]) ).
fof(f376,plain,
( spl21_6
<=> true = prop(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f403,plain,
( spl21_9
<=> false1 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f1159,plain,
( ~ forallprefers(err,false1)
| sF11 = lazy_impl(true,sF11)
| ~ spl21_2
| ~ spl21_6
| ~ spl21_9 ),
inference(forward_demodulation,[],[f1158,f302]) ).
fof(f1158,plain,
( sF11 = lazy_impl(true,sF11)
| ~ forallprefers(err,lazy_impl(true,false1))
| ~ spl21_2
| ~ spl21_6
| ~ spl21_9 ),
inference(forward_demodulation,[],[f1009,f405]) ).
fof(f405,plain,
( false1 = sK7
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f1009,plain,
( sF11 = lazy_impl(true,sF11)
| ~ forallprefers(err,lazy_impl(true,sK7))
| ~ spl21_2
| ~ spl21_6 ),
inference(superposition,[],[f606,f198]) ).
fof(f606,plain,
( ~ forallprefers(lazy_impl(true,sF11),lazy_impl(true,sK7))
| ~ spl21_2
| ~ spl21_6 ),
inference(forward_demodulation,[],[f605,f253]) ).
fof(f605,plain,
( ~ forallprefers(lazy_impl(sF12,sF11),lazy_impl(true,sK7))
| ~ spl21_6 ),
inference(forward_demodulation,[],[f463,f378]) ).
fof(f378,plain,
( true = prop(sK7)
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f463,plain,
~ forallprefers(lazy_impl(sF12,sF11),lazy_impl(prop(sK7),sK7)),
inference(superposition,[],[f222,f235]) ).
fof(f222,plain,
! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK7),sK7)),
inference(definition_unfolding,[],[f179,f169,f169]) ).
fof(f169,plain,
! [X0] : lazy_impl(prop(X0),X0) = f7(X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : lazy_impl(prop(X0),X0) = f7(X0),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f7) ).
fof(f179,plain,
! [X1] : ~ forallprefers(f7(X1),f7(sK7)),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
? [X0] :
( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
? [X0] :
( false2 = phi(f7(X0))
& ~ ? [X1] : forallprefers(f7(X1),f7(X0)) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
? [X4] :
( false2 = phi(f7(X4))
& ~ ? [X9] : forallprefers(f7(X9),f7(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false2) ).
fof(f1053,plain,
( spl21_42
| spl21_29
| ~ spl21_26 ),
inference(avatar_split_clause,[],[f1048,f781,f792,f1050]) ).
fof(f1048,plain,
( bool(sF14)
| sF9 = sF14
| ~ spl21_26 ),
inference(superposition,[],[f782,f286]) ).
fof(f966,plain,
( spl21_38
| spl21_41
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f945,f252,f961,f948]) ).
fof(f945,plain,
( err = sF18
| sF17 = sF18
| ~ spl21_2 ),
inference(superposition,[],[f198,f652]) ).
fof(f652,plain,
( lazy_impl(true,sF17) = sF18
| ~ spl21_2 ),
inference(superposition,[],[f241,f253]) ).
fof(f964,plain,
( spl21_40
| spl21_41
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f943,f252,f961,f957]) ).
fof(f943,plain,
( err = sF18
| sF17 = lazy_impl(true,sF17)
| ~ spl21_2 ),
inference(superposition,[],[f652,f198]) ).
fof(f955,plain,
( spl21_38
| spl21_39
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f944,f252,f952,f948]) ).
fof(f944,plain,
( err = lazy_impl(true,sF17)
| sF17 = sF18
| ~ spl21_2 ),
inference(superposition,[],[f652,f198]) ).
fof(f932,plain,
spl21_36,
inference(avatar_contradiction_clause,[],[f930]) ).
fof(f930,plain,
( $false
| spl21_36 ),
inference(resolution,[],[f906,f210]) ).
fof(f906,plain,
( ~ d(false1)
| spl21_36 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f919,plain,
spl21_35,
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f911,plain,
( $false
| spl21_35 ),
inference(resolution,[],[f902,f227]) ).
fof(f902,plain,
( ~ bool(false1)
| spl21_35 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f910,plain,
( ~ spl21_35
| ~ spl21_36
| spl21_37
| ~ spl21_9 ),
inference(avatar_split_clause,[],[f898,f403,f908,f904,f900]) ).
fof(f898,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| ~ d(false1)
| bool(lazy_impl(prop(X0),X0))
| ~ bool(false1) )
| ~ spl21_9 ),
inference(forward_demodulation,[],[f897,f302]) ).
fof(f897,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| ~ bool(lazy_impl(true,false1))
| bool(lazy_impl(prop(X0),X0))
| ~ d(false1) )
| ~ spl21_9 ),
inference(forward_demodulation,[],[f896,f302]) ).
fof(f896,plain,
( ! [X0] :
( ~ d(lazy_impl(true,false1))
| ~ d(lazy_impl(prop(X0),X0))
| ~ bool(lazy_impl(true,false1))
| bool(lazy_impl(prop(X0),X0)) )
| ~ spl21_9 ),
inference(forward_demodulation,[],[f895,f256]) ).
fof(f895,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(false1),false1))
| ~ bool(lazy_impl(true,false1))
| bool(lazy_impl(prop(X0),X0))
| ~ d(lazy_impl(prop(X0),X0)) )
| ~ spl21_9 ),
inference(forward_demodulation,[],[f894,f405]) ).
fof(f894,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(sK7),sK7))
| ~ bool(lazy_impl(true,false1))
| ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) )
| ~ spl21_9 ),
inference(forward_demodulation,[],[f893,f256]) ).
fof(f893,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0))
| ~ bool(lazy_impl(prop(false1),false1))
| ~ d(lazy_impl(prop(sK7),sK7)) )
| ~ spl21_9 ),
inference(forward_demodulation,[],[f889,f405]) ).
fof(f889,plain,
! [X0] :
( ~ bool(lazy_impl(prop(sK7),sK7))
| bool(lazy_impl(prop(X0),X0))
| ~ d(lazy_impl(prop(X0),X0))
| ~ d(lazy_impl(prop(sK7),sK7)) ),
inference(resolution,[],[f158,f222]) ).
fof(f837,plain,
( spl21_34
| spl21_4 ),
inference(avatar_split_clause,[],[f836,f335,f826]) ).
fof(f836,plain,
( err = lazy_impl(true,sF9)
| spl21_4 ),
inference(resolution,[],[f337,f199]) ).
fof(f835,plain,
( spl21_4
| ~ spl21_30
| ~ spl21_33 ),
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| spl21_4
| ~ spl21_30
| ~ spl21_33 ),
inference(resolution,[],[f831,f153]) ).
fof(f831,plain,
( ~ d(err)
| spl21_4
| ~ spl21_30
| ~ spl21_33 ),
inference(forward_demodulation,[],[f337,f830]) ).
fof(f830,plain,
( err = sF9
| ~ spl21_30
| ~ spl21_33 ),
inference(forward_demodulation,[],[f822,f809]) ).
fof(f829,plain,
( spl21_34
| spl21_33 ),
inference(avatar_split_clause,[],[f695,f820,f826]) ).
fof(f695,plain,
( sF10 = sF9
| err = lazy_impl(true,sF9) ),
inference(superposition,[],[f233,f198]) ).
fof(f824,plain,
( spl21_30
| spl21_33 ),
inference(avatar_split_clause,[],[f683,f820,f807]) ).
fof(f683,plain,
( sF10 = sF9
| err = sF10 ),
inference(superposition,[],[f198,f233]) ).
fof(f805,plain,
( spl21_4
| ~ spl21_22 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f804,plain,
( $false
| spl21_4
| ~ spl21_22 ),
inference(trivial_inequality_removal,[],[f803]) ).
fof(f803,plain,
( err != err
| spl21_4
| ~ spl21_22 ),
inference(superposition,[],[f798,f348]) ).
fof(f348,plain,
( err = sF10
| spl21_4 ),
inference(superposition,[],[f233,f343]) ).
fof(f343,plain,
( err = lazy_impl(true,sF9)
| spl21_4 ),
inference(resolution,[],[f337,f199]) ).
fof(f798,plain,
( err != sF10
| ~ spl21_22 ),
inference(superposition,[],[f243,f735]) ).
fof(f796,plain,
( spl21_27
| spl21_26 ),
inference(avatar_split_clause,[],[f776,f781,f784]) ).
fof(f776,plain,
! [X0] :
( bool(sF20(X0))
| sF9 = sF20(X0)
| bool(sF9) ),
inference(superposition,[],[f245,f285]) ).
fof(f757,plain,
( spl21_25
| spl21_22 ),
inference(avatar_split_clause,[],[f703,f733,f754]) ).
fof(f703,plain,
( err = sF19
| lazy_impl(true,sF18) = sF18 ),
inference(superposition,[],[f242,f198]) ).
fof(f752,plain,
( spl21_24
| spl21_23 ),
inference(avatar_split_clause,[],[f696,f738,f749]) ).
fof(f696,plain,
( sF15 = sF16
| err = lazy_impl(true,sF15) ),
inference(superposition,[],[f239,f198]) ).
fof(f747,plain,
( spl21_23
| spl21_19 ),
inference(avatar_split_clause,[],[f691,f711,f738]) ).
fof(f691,plain,
( err = sF16
| sF15 = sF16 ),
inference(superposition,[],[f198,f239]) ).
fof(f742,plain,
( spl21_20
| spl21_22 ),
inference(avatar_split_clause,[],[f692,f733,f724]) ).
fof(f692,plain,
( err = sF19
| sF18 = sF19 ),
inference(superposition,[],[f198,f242]) ).
fof(f731,plain,
( spl21_20
| spl21_21 ),
inference(avatar_split_clause,[],[f697,f728,f724]) ).
fof(f697,plain,
( err = lazy_impl(true,sF18)
| sF18 = sF19 ),
inference(superposition,[],[f242,f198]) ).
fof(f714,plain,
( spl21_18
| spl21_19 ),
inference(avatar_split_clause,[],[f702,f711,f707]) ).
fof(f702,plain,
( err = sF16
| sF15 = lazy_impl(true,sF15) ),
inference(superposition,[],[f239,f198]) ).
fof(f599,plain,
( spl21_12
| ~ spl21_8 ),
inference(avatar_split_clause,[],[f598,f399,f477]) ).
fof(f477,plain,
( spl21_12
<=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f399,plain,
( spl21_8
<=> true = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f598,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true)
| ~ spl21_8 ),
inference(forward_demodulation,[],[f506,f300]) ).
fof(f506,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(true,true))
| ~ spl21_8 ),
inference(forward_demodulation,[],[f500,f257]) ).
fof(f500,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(prop(true),true))
| ~ spl21_8 ),
inference(superposition,[],[f222,f401]) ).
fof(f401,plain,
( true = sK7
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f586,plain,
( spl21_13
| spl21_3 ),
inference(avatar_split_clause,[],[f370,f266,f583]) ).
fof(f370,plain,
( false1 = sF12
| true = prop(sF11) ),
inference(superposition,[],[f235,f270]) ).
fof(f270,plain,
! [X0] :
( prop(X0) = false1
| true = prop(X0) ),
inference(resolution,[],[f196,f131]) ).
fof(f577,plain,
~ spl21_12,
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| ~ spl21_12 ),
inference(resolution,[],[f566,f226]) ).
fof(f566,plain,
( ~ forallprefers(false1,true)
| ~ spl21_12 ),
inference(forward_demodulation,[],[f561,f302]) ).
fof(f561,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl21_12 ),
inference(superposition,[],[f478,f256]) ).
fof(f478,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true)
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f499,plain,
( ~ spl21_9
| spl21_11 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| ~ spl21_9
| spl21_11 ),
inference(resolution,[],[f496,f210]) ).
fof(f496,plain,
( ~ d(false1)
| ~ spl21_9
| spl21_11 ),
inference(forward_demodulation,[],[f495,f302]) ).
fof(f495,plain,
( ~ d(lazy_impl(true,false1))
| ~ spl21_9
| spl21_11 ),
inference(forward_demodulation,[],[f494,f256]) ).
fof(f494,plain,
( ~ d(lazy_impl(prop(false1),false1))
| ~ spl21_9
| spl21_11 ),
inference(forward_demodulation,[],[f473,f405]) ).
fof(f473,plain,
( ~ d(lazy_impl(prop(sK7),sK7))
| spl21_11 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl21_11
<=> d(lazy_impl(prop(sK7),sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f479,plain,
( spl21_6
| spl21_12 ),
inference(avatar_split_clause,[],[f475,f477,f376]) ).
fof(f475,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),X0),true)
| true = prop(sK7) ),
inference(forward_demodulation,[],[f464,f208]) ).
fof(f464,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(false1,sK7))
| true = prop(sK7) ),
inference(superposition,[],[f222,f270]) ).
fof(f474,plain,
( spl21_10
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f458,f471,f468]) ).
fof(f458,plain,
! [X0] :
( ~ d(lazy_impl(prop(sK7),sK7))
| d(lazy_impl(prop(X0),X0)) ),
inference(resolution,[],[f222,f160]) ).
fof(f406,plain,
( spl21_8
| spl21_9
| ~ spl21_6 ),
inference(avatar_split_clause,[],[f396,f376,f403,f399]) ).
fof(f396,plain,
( false1 = sK7
| true = sK7
| ~ spl21_6 ),
inference(resolution,[],[f389,f216]) ).
fof(f389,plain,
( bool(sK7)
| ~ spl21_6 ),
inference(trivial_inequality_removal,[],[f388]) ).
fof(f388,plain,
( true != true
| bool(sK7)
| ~ spl21_6 ),
inference(superposition,[],[f130,f378]) ).
fof(f342,plain,
( ~ spl21_4
| spl21_5 ),
inference(avatar_split_clause,[],[f333,f339,f335]) ).
fof(f333,plain,
( d(sF14)
| ~ d(sF9) ),
inference(resolution,[],[f328,f174]) ).
fof(f278,plain,
( spl21_3
| spl21_1 ),
inference(avatar_split_clause,[],[f272,f248,f266]) ).
fof(f272,plain,
( false1 = sF12
| spl21_1 ),
inference(superposition,[],[f271,f235]) ).
fof(f271,plain,
( false1 = prop(sF11)
| spl21_1 ),
inference(resolution,[],[f196,f249]) ).
fof(f269,plain,
( ~ spl21_1
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f262,f266,f248]) ).
fof(f262,plain,
( false1 != sF12
| ~ bool(sF11) ),
inference(superposition,[],[f195,f235]) ).
fof(f195,plain,
! [X0] :
( prop(X0) != false1
| ~ bool(X0) ),
inference(definition_unfolding,[],[f127,f141]) ).
fof(f127,plain,
! [X0] :
( ~ bool(X0)
| false != prop(X0) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW100+1 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 19:43:35 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.46 % (18351)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (18360)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)
% 0.15/0.47 % (18352)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.47 % (18367)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)
% 0.15/0.47 % (18352)Instruction limit reached!
% 0.15/0.47 % (18352)------------------------------
% 0.15/0.47 % (18352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (18352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (18352)Termination reason: Unknown
% 0.15/0.47 % (18352)Termination phase: Unused predicate definition removal
% 0.15/0.47
% 0.15/0.47 % (18352)Memory used [KB]: 895
% 0.15/0.47 % (18352)Time elapsed: 0.004 s
% 0.15/0.47 % (18352)Instructions burned: 2 (million)
% 0.15/0.47 % (18352)------------------------------
% 0.15/0.47 % (18352)------------------------------
% 0.15/0.47 % (18351)Instruction limit reached!
% 0.15/0.47 % (18351)------------------------------
% 0.15/0.47 % (18351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (18351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (18351)Termination reason: Unknown
% 0.15/0.47 % (18351)Termination phase: Saturation
% 0.15/0.47
% 0.15/0.47 % (18351)Memory used [KB]: 5628
% 0.15/0.47 % (18351)Time elapsed: 0.095 s
% 0.15/0.47 % (18351)Instructions burned: 7 (million)
% 0.15/0.47 % (18351)------------------------------
% 0.15/0.47 % (18351)------------------------------
% 0.15/0.48 % (18344)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)
% 0.15/0.49 % (18356)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.49 TRYING [3]
% 0.15/0.50 % (18355)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)
% 0.15/0.51 % (18349)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)
% 0.15/0.51 % (18359)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)
% 0.15/0.51 % (18348)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.51 % (18346)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)
% 0.15/0.51 % (18370)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)
% 0.15/0.51 % (18350)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)
% 0.15/0.51 % (18354)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.51 % (18368)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.52 % (18353)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)
% 0.15/0.52 % (18365)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.52 % (18364)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)
% 0.15/0.52 % (18347)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)
% 0.15/0.52 % (18372)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.53 % (18361)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.53 % (18371)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)
% 0.15/0.53 % (18373)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)
% 0.15/0.53 % (18369)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.53 % (18357)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.53 % (18345)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)
% 0.15/0.53 % (18358)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)
% 0.15/0.54 % (18366)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)
% 0.15/0.54 % (18363)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)
% 0.15/0.54 TRYING [3]
% 0.15/0.55 % (18362)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.55 TRYING [3]
% 0.15/0.56 % (18345)Refutation not found, incomplete strategy% (18345)------------------------------
% 0.15/0.56 % (18345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56 % (18345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56 % (18345)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.56
% 0.15/0.56 % (18345)Memory used [KB]: 5884
% 0.15/0.56 % (18345)Time elapsed: 0.150 s
% 0.15/0.56 % (18345)Instructions burned: 17 (million)
% 0.15/0.56 % (18345)------------------------------
% 0.15/0.56 % (18345)------------------------------
% 0.15/0.59 % (18346)Instruction limit reached!
% 0.15/0.59 % (18346)------------------------------
% 0.15/0.59 % (18346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.59 % (18346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.59 % (18346)Termination reason: Unknown
% 0.15/0.59 % (18346)Termination phase: Saturation
% 0.15/0.59
% 0.15/0.59 % (18346)Memory used [KB]: 1279
% 0.15/0.59 % (18346)Time elapsed: 0.225 s
% 0.15/0.59 % (18346)Instructions burned: 37 (million)
% 0.15/0.59 % (18346)------------------------------
% 0.15/0.59 % (18346)------------------------------
% 2.01/0.60 % (18350)Instruction limit reached!
% 2.01/0.60 % (18350)------------------------------
% 2.01/0.60 % (18350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.60 % (18350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.60 % (18350)Termination reason: Unknown
% 2.01/0.60 % (18350)Termination phase: Finite model building SAT solving
% 2.01/0.60
% 2.01/0.60 % (18350)Memory used [KB]: 8571
% 2.01/0.60 % (18350)Time elapsed: 0.191 s
% 2.01/0.60 % (18350)Instructions burned: 52 (million)
% 2.01/0.60 % (18350)------------------------------
% 2.01/0.60 % (18350)------------------------------
% 2.01/0.61 % (18360)Instruction limit reached!
% 2.01/0.61 % (18360)------------------------------
% 2.01/0.61 % (18360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61 % (18360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61 % (18360)Termination reason: Unknown
% 2.01/0.61 % (18360)Termination phase: Saturation
% 2.01/0.61
% 2.01/0.61 % (18360)Memory used [KB]: 6524
% 2.01/0.61 % (18360)Time elapsed: 0.244 s
% 2.01/0.61 % (18360)Instructions burned: 100 (million)
% 2.01/0.61 % (18360)------------------------------
% 2.01/0.61 % (18360)------------------------------
% 2.24/0.62 TRYING [4]
% 2.24/0.62 % (18353)Instruction limit reached!
% 2.24/0.62 % (18353)------------------------------
% 2.24/0.62 % (18353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.62 % (18353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.62 % (18353)Termination reason: Unknown
% 2.24/0.62 % (18353)Termination phase: Saturation
% 2.24/0.62
% 2.24/0.62 % (18353)Memory used [KB]: 1279
% 2.24/0.62 % (18353)Time elapsed: 0.188 s
% 2.24/0.62 % (18353)Instructions burned: 51 (million)
% 2.24/0.62 % (18353)------------------------------
% 2.24/0.62 % (18353)------------------------------
% 2.24/0.63 % (18361)Instruction limit reached!
% 2.24/0.63 % (18361)------------------------------
% 2.24/0.63 % (18361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.63 % (18361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.63 % (18361)Termination reason: Unknown
% 2.24/0.63 % (18361)Termination phase: Finite model building constraint generation
% 2.24/0.63
% 2.24/0.63 % (18361)Memory used [KB]: 8699
% 2.24/0.63 % (18361)Time elapsed: 0.180 s
% 2.24/0.63 % (18361)Instructions burned: 60 (million)
% 2.24/0.63 % (18361)------------------------------
% 2.24/0.63 % (18361)------------------------------
% 2.24/0.64 % (18354)Instruction limit reached!
% 2.24/0.64 % (18354)------------------------------
% 2.24/0.64 % (18354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.64 % (18354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.64 % (18354)Termination reason: Unknown
% 2.24/0.64 % (18354)Termination phase: Saturation
% 2.24/0.64
% 2.24/0.64 % (18354)Memory used [KB]: 6268
% 2.24/0.64 % (18354)Time elapsed: 0.223 s
% 2.24/0.64 % (18354)Instructions burned: 50 (million)
% 2.24/0.64 % (18354)------------------------------
% 2.24/0.64 % (18354)------------------------------
% 2.24/0.64 % (18349)Instruction limit reached!
% 2.24/0.64 % (18349)------------------------------
% 2.24/0.64 % (18349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.64 % (18349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.64 % (18349)Termination reason: Unknown
% 2.24/0.64 % (18349)Termination phase: Saturation
% 2.24/0.64
% 2.24/0.64 % (18349)Memory used [KB]: 6140
% 2.24/0.64 % (18349)Time elapsed: 0.254 s
% 2.24/0.64 % (18349)Instructions burned: 48 (million)
% 2.24/0.64 % (18349)------------------------------
% 2.24/0.64 % (18349)------------------------------
% 2.24/0.65 % (18348)Instruction limit reached!
% 2.24/0.65 % (18348)------------------------------
% 2.24/0.65 % (18348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.65 % (18348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.65 % (18348)Termination reason: Unknown
% 2.24/0.65 % (18348)Termination phase: Saturation
% 2.24/0.65
% 2.24/0.65 % (18348)Memory used [KB]: 6268
% 2.24/0.65 % (18348)Time elapsed: 0.262 s
% 2.24/0.65 % (18348)Instructions burned: 51 (million)
% 2.24/0.65 % (18348)------------------------------
% 2.24/0.65 % (18348)------------------------------
% 2.56/0.66 % (18347)Instruction limit reached!
% 2.56/0.66 % (18347)------------------------------
% 2.56/0.66 % (18347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.66 % (18347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.66 % (18347)Termination reason: Unknown
% 2.56/0.66 % (18347)Termination phase: Saturation
% 2.56/0.66
% 2.56/0.66 % (18347)Memory used [KB]: 6268
% 2.56/0.66 % (18347)Time elapsed: 0.294 s
% 2.56/0.66 % (18347)Instructions burned: 51 (million)
% 2.56/0.66 % (18347)------------------------------
% 2.56/0.66 % (18347)------------------------------
% 2.56/0.67 % (18370)Instruction limit reached!
% 2.56/0.67 % (18370)------------------------------
% 2.56/0.67 % (18370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.67 % (18370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.67 % (18370)Termination reason: Unknown
% 2.56/0.67 % (18370)Termination phase: Saturation
% 2.56/0.67
% 2.56/0.67 % (18370)Memory used [KB]: 6780
% 2.56/0.67 % (18370)Time elapsed: 0.047 s
% 2.56/0.67 % (18370)Instructions burned: 68 (million)
% 2.56/0.67 % (18370)------------------------------
% 2.56/0.67 % (18370)------------------------------
% 2.56/0.68 % (18359)Instruction limit reached!
% 2.56/0.68 % (18359)------------------------------
% 2.56/0.68 % (18359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.68 % (18359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.68 % (18359)Termination reason: Unknown
% 2.56/0.68 % (18359)Termination phase: Saturation
% 2.56/0.68
% 2.56/0.68 % (18359)Memory used [KB]: 1407
% 2.56/0.68 % (18359)Time elapsed: 0.270 s
% 2.56/0.68 % (18359)Instructions burned: 75 (million)
% 2.56/0.68 % (18359)------------------------------
% 2.56/0.68 % (18359)------------------------------
% 2.56/0.68 % (18358)Instruction limit reached!
% 2.56/0.68 % (18358)------------------------------
% 2.56/0.68 % (18358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.68 % (18358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.68 % (18358)Termination reason: Unknown
% 2.56/0.68 % (18358)Termination phase: Saturation
% 2.56/0.68
% 2.56/0.68 % (18358)Memory used [KB]: 6780
% 2.56/0.68 % (18358)Time elapsed: 0.051 s
% 2.56/0.68 % (18358)Instructions burned: 68 (million)
% 2.56/0.68 % (18358)------------------------------
% 2.56/0.68 % (18358)------------------------------
% 2.56/0.73 % (18356)Instruction limit reached!
% 2.56/0.73 % (18356)------------------------------
% 2.56/0.73 % (18356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.73 % (18363)Instruction limit reached!
% 2.56/0.73 % (18363)------------------------------
% 2.56/0.73 % (18363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.73 % (18363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.73 % (18363)Termination reason: Unknown
% 2.56/0.73 % (18363)Termination phase: Saturation
% 2.56/0.73
% 2.56/0.73 % (18363)Memory used [KB]: 1663
% 2.56/0.73 % (18363)Time elapsed: 0.344 s
% 2.56/0.73 % (18363)Instructions burned: 101 (million)
% 2.56/0.73 % (18363)------------------------------
% 2.56/0.73 % (18363)------------------------------
% 2.56/0.73 % (18356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.73 % (18356)Termination reason: Unknown
% 2.56/0.73 % (18356)Termination phase: Saturation
% 2.56/0.73
% 2.56/0.73 % (18356)Memory used [KB]: 6780
% 2.56/0.73 % (18356)Time elapsed: 0.348 s
% 2.56/0.73 % (18356)Instructions burned: 101 (million)
% 2.56/0.73 % (18356)------------------------------
% 2.56/0.73 % (18356)------------------------------
% 3.03/0.75 % (18375)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)
% 3.03/0.75 % (18357)Instruction limit reached!
% 3.03/0.75 % (18357)------------------------------
% 3.03/0.75 % (18357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.75 % (18357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.75 % (18357)Termination reason: Unknown
% 3.03/0.75 % (18357)Termination phase: Saturation
% 3.03/0.75
% 3.03/0.75 % (18357)Memory used [KB]: 7036
% 3.03/0.75 % (18357)Time elapsed: 0.376 s
% 3.03/0.75 % (18357)Instructions burned: 100 (million)
% 3.03/0.75 % (18357)------------------------------
% 3.03/0.75 % (18357)------------------------------
% 3.03/0.75 % (18355)Instruction limit reached!
% 3.03/0.75 % (18355)------------------------------
% 3.03/0.75 % (18355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.75 % (18355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.75 % (18355)Termination reason: Unknown
% 3.03/0.75 % (18355)Termination phase: Saturation
% 3.03/0.75
% 3.03/0.75 % (18355)Memory used [KB]: 6908
% 3.03/0.75 % (18355)Time elapsed: 0.387 s
% 3.03/0.75 % (18355)Instructions burned: 100 (million)
% 3.03/0.75 % (18355)------------------------------
% 3.03/0.75 % (18355)------------------------------
% 3.03/0.76 % (18374)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)
% 3.03/0.78 % (18378)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.24/0.80 % (18379)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 (2996ds/747Mi)
% 3.24/0.81 % (18376)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)
% 3.24/0.82 % (18362)Instruction limit reached!
% 3.24/0.82 % (18362)------------------------------
% 3.24/0.82 % (18362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.82 % (18362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.82 % (18362)Termination reason: Unknown
% 3.24/0.82 % (18362)Termination phase: Saturation
% 3.24/0.82
% 3.24/0.82 % (18362)Memory used [KB]: 7164
% 3.24/0.82 % (18362)Time elapsed: 0.449 s
% 3.24/0.82 % (18362)Instructions burned: 100 (million)
% 3.24/0.82 % (18362)------------------------------
% 3.24/0.82 % (18362)------------------------------
% 3.24/0.82 % (18380)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 (2996ds/655Mi)
% 3.24/0.83 % (18377)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.24/0.83 % (18371)Instruction limit reached!
% 3.24/0.83 % (18371)------------------------------
% 3.24/0.83 % (18371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.83 % (18371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.83 % (18371)Termination reason: Unknown
% 3.24/0.83 % (18371)Termination phase: Saturation
% 3.24/0.83
% 3.24/0.83 % (18371)Memory used [KB]: 1535
% 3.24/0.83 % (18371)Time elapsed: 0.449 s
% 3.24/0.83 % (18371)Instructions burned: 177 (million)
% 3.24/0.83 % (18371)------------------------------
% 3.24/0.83 % (18371)------------------------------
% 3.47/0.84 % (18364)Instruction limit reached!
% 3.47/0.84 % (18364)------------------------------
% 3.47/0.84 % (18364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/0.84 % (18364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/0.84 % (18364)Termination reason: Unknown
% 3.47/0.84 % (18364)Termination phase: Saturation
% 3.47/0.84
% 3.47/0.84 % (18364)Memory used [KB]: 6780
% 3.47/0.84 % (18364)Time elapsed: 0.463 s
% 3.47/0.84 % (18364)Instructions burned: 176 (million)
% 3.47/0.84 % (18364)------------------------------
% 3.47/0.84 % (18364)------------------------------
% 3.47/0.84 % (18385)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 (2996ds/2016Mi)
% 3.47/0.85 % (18365)Instruction limit reached!
% 3.47/0.85 % (18365)------------------------------
% 3.47/0.85 % (18365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/0.85 % (18365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/0.85 % (18365)Termination reason: Unknown
% 3.47/0.85 % (18365)Termination phase: Saturation
% 3.47/0.85
% 3.47/0.85 % (18365)Memory used [KB]: 7291
% 3.47/0.85 % (18365)Time elapsed: 0.479 s
% 3.47/0.85 % (18365)Instructions burned: 138 (million)
% 3.47/0.85 % (18365)------------------------------
% 3.47/0.85 % (18365)------------------------------
% 3.47/0.85 % (18381)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)
% 3.51/0.86 % (18384)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 (2996ds/90Mi)
% 3.51/0.87 % (18382)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 (2996ds/940Mi)
% 3.51/0.87 % (18386)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.51/0.89 % (18390)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 (2995ds/4931Mi)
% 3.51/0.90 % (18388)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)
% 3.63/0.92 % (18389)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.63/0.93 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.63/0.93 % (18383)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 (2996ds/981Mi)
% 3.71/0.96 % (18391)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 (2995ds/68Mi)
% 3.71/0.97 % (18387)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)
% 3.71/0.99 % (18392)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 (2995ds/1824Mi)
% 3.71/1.02 % (18381)Instruction limit reached!
% 3.71/1.02 % (18381)------------------------------
% 3.71/1.02 % (18381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.71/1.02 % (18381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.71/1.02 % (18381)Termination reason: Unknown
% 3.71/1.02 % (18381)Termination phase: Saturation
% 3.71/1.02
% 3.71/1.02 % (18381)Memory used [KB]: 6908
% 3.71/1.02 % (18381)Time elapsed: 0.050 s
% 3.71/1.02 % (18381)Instructions burned: 68 (million)
% 3.71/1.02 % (18381)------------------------------
% 3.71/1.02 % (18381)------------------------------
% 3.71/1.02 % (18394)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.71/1.03 % (18395)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.71/1.03 % (18376)Instruction limit reached!
% 3.71/1.03 % (18376)------------------------------
% 3.71/1.03 % (18376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.71/1.03 % (18376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.71/1.03 % (18376)Termination reason: Unknown
% 3.71/1.03 % (18376)Termination phase: Saturation
% 3.71/1.03
% 3.71/1.03 % (18376)Memory used [KB]: 6140
% 3.71/1.03 % (18376)Time elapsed: 0.397 s
% 3.71/1.03 % (18376)Instructions burned: 90 (million)
% 3.71/1.03 % (18376)------------------------------
% 3.71/1.03 % (18376)------------------------------
% 4.11/1.06 % (18393)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 (2994ds/2134Mi)
% 4.21/1.09 % (18384)Instruction limit reached!
% 4.21/1.09 % (18384)------------------------------
% 4.21/1.09 % (18384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/1.09 % (18384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/1.09 % (18384)Termination reason: Unknown
% 4.21/1.09 % (18384)Termination phase: Saturation
% 4.21/1.09
% 4.21/1.09 % (18384)Memory used [KB]: 6268
% 4.21/1.09 % (18384)Time elapsed: 0.395 s
% 4.21/1.09 % (18384)Instructions burned: 90 (million)
% 4.21/1.09 % (18384)------------------------------
% 4.21/1.09 % (18384)------------------------------
% 4.21/1.10 % (18367)Instruction limit reached!
% 4.21/1.10 % (18367)------------------------------
% 4.21/1.10 % (18367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/1.10 % (18367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/1.10 % (18367)Termination reason: Unknown
% 4.21/1.10 % (18367)Termination phase: Saturation
% 4.21/1.10
% 4.21/1.10 % (18367)Memory used [KB]: 7675
% 4.21/1.10 % (18367)Time elapsed: 0.700 s
% 4.21/1.10 % (18367)Instructions burned: 467 (million)
% 4.21/1.10 % (18367)------------------------------
% 4.21/1.10 % (18367)------------------------------
% 4.21/1.11 % (18396)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 (2994ds/90Mi)
% 4.21/1.12 TRYING [5]
% 4.21/1.13 % (18391)Instruction limit reached!
% 4.21/1.13 % (18391)------------------------------
% 4.21/1.13 % (18391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/1.13 % (18391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/1.13 % (18391)Termination reason: Unknown
% 4.21/1.13 % (18391)Termination phase: Saturation
% 4.21/1.13
% 4.21/1.13 % (18391)Memory used [KB]: 6908
% 4.21/1.13 % (18391)Time elapsed: 0.050 s
% 4.21/1.13 % (18391)Instructions burned: 68 (million)
% 4.21/1.13 % (18391)------------------------------
% 4.21/1.13 % (18391)------------------------------
% 7.27/1.26 % (18397)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 (2992ds/2016Mi)
% 7.27/1.27 % (18398)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.27/1.29 % (18400)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 7.27/1.30 % (18366)Instruction limit reached!
% 7.27/1.30 % (18366)------------------------------
% 7.27/1.30 % (18366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.70/1.32 % (18396)Instruction limit reached!
% 7.70/1.32 % (18396)------------------------------
% 7.70/1.32 % (18396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.70/1.32 % (18396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.70/1.32 % (18396)Termination reason: Unknown
% 7.70/1.32 % (18396)Termination phase: Saturation
% 7.70/1.32
% 7.70/1.32 % (18396)Memory used [KB]: 6140
% 7.70/1.32 % (18396)Time elapsed: 0.389 s
% 7.70/1.32 % (18396)Instructions burned: 90 (million)
% 7.70/1.32 % (18396)------------------------------
% 7.70/1.32 % (18396)------------------------------
% 7.70/1.32 % (18366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.70/1.32 % (18366)Termination reason: Unknown
% 7.70/1.32 % (18366)Termination phase: Saturation
% 7.70/1.32
% 7.70/1.32 % (18366)Memory used [KB]: 1535
% 7.70/1.32 % (18366)Time elapsed: 0.925 s
% 7.70/1.32 % (18366)Instructions burned: 499 (million)
% 7.70/1.32 % (18366)------------------------------
% 7.70/1.32 % (18366)------------------------------
% 7.70/1.32 % (18375)Instruction limit reached!
% 7.70/1.32 % (18375)------------------------------
% 7.70/1.32 % (18375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.70/1.32 % (18375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.70/1.32 % (18375)Termination reason: Unknown
% 7.70/1.32 % (18375)Termination phase: Saturation
% 7.70/1.32
% 7.70/1.32 % (18375)Memory used [KB]: 1535
% 7.70/1.32 % (18375)Time elapsed: 0.779 s
% 7.70/1.32 % (18375)Instructions burned: 211 (million)
% 7.70/1.32 % (18375)------------------------------
% 7.70/1.32 % (18375)------------------------------
% 7.70/1.32 % (18399)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 (2992ds/9965Mi)
% 8.04/1.37 % (18402)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 (2991ds/9902Mi)
% 8.04/1.38 % (18373)Instruction limit reached!
% 8.04/1.38 % (18373)------------------------------
% 8.04/1.38 % (18373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.04/1.38 % (18373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.04/1.38 % (18373)Termination reason: Unknown
% 8.04/1.38 % (18373)Termination phase: Saturation
% 8.04/1.38
% 8.04/1.38 % (18373)Memory used [KB]: 7547
% 8.04/1.38 % (18373)Time elapsed: 0.954 s
% 8.04/1.38 % (18373)Instructions burned: 355 (million)
% 8.04/1.38 % (18373)------------------------------
% 8.04/1.38 % (18373)------------------------------
% 8.73/1.44 % (18372)Instruction limit reached!
% 8.73/1.44 % (18372)------------------------------
% 8.73/1.44 % (18372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.73/1.45 % (18372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.73/1.45 % (18372)Termination reason: Unknown
% 8.73/1.45 % (18372)Termination phase: Saturation
% 8.73/1.45
% 8.73/1.45 % (18372)Memory used [KB]: 8443
% 8.73/1.45 % (18372)Time elapsed: 1.038 s
% 8.73/1.45 % (18372)Instructions burned: 439 (million)
% 8.73/1.45 % (18372)------------------------------
% 8.73/1.45 % (18372)------------------------------
% 9.08/1.50 % (18403)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 (2989ds/1824Mi)
% 9.45/1.56 % (18404)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 9.45/1.57 % (18405)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 9.77/1.62 % (18406)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 (2989ds/90Mi)
% 9.77/1.64 % (18407)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 (2988ds/44001Mi)
% 11.36/1.78 % (18369)Instruction limit reached!
% 11.36/1.78 % (18369)------------------------------
% 11.36/1.78 % (18369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.36/1.78 % (18369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.36/1.78 % (18369)Termination reason: Unknown
% 11.36/1.78 % (18369)Termination phase: Saturation
% 11.36/1.78
% 11.36/1.78 % (18369)Memory used [KB]: 11385
% 11.36/1.78 % (18369)Time elapsed: 1.412 s
% 11.36/1.78 % (18369)Instructions burned: 500 (million)
% 11.36/1.78 % (18369)------------------------------
% 11.36/1.78 % (18369)------------------------------
% 11.77/1.84 % (18406)Instruction limit reached!
% 11.77/1.84 % (18406)------------------------------
% 11.77/1.84 % (18406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.77/1.84 % (18406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.77/1.84 % (18406)Termination reason: Unknown
% 11.77/1.84 % (18406)Termination phase: Saturation
% 11.77/1.84
% 11.77/1.84 % (18406)Memory used [KB]: 6140
% 11.77/1.84 % (18406)Time elapsed: 0.401 s
% 11.77/1.84 % (18406)Instructions burned: 90 (million)
% 11.77/1.84 % (18406)------------------------------
% 11.77/1.84 % (18406)------------------------------
% 11.77/1.85 % (18368)Instruction limit reached!
% 11.77/1.85 % (18368)------------------------------
% 11.77/1.85 % (18368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.77/1.85 % (18368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.77/1.85 % (18368)Termination reason: Unknown
% 11.77/1.85 % (18368)Termination phase: Saturation
% 11.77/1.85
% 11.77/1.85 % (18368)Memory used [KB]: 9978
% 11.77/1.85 % (18368)Time elapsed: 1.429 s
% 11.77/1.85 % (18368)Instructions burned: 482 (million)
% 11.77/1.85 % (18368)------------------------------
% 11.77/1.85 % (18368)------------------------------
% 12.01/1.89 % (18374)Instruction limit reached!
% 12.01/1.89 % (18374)------------------------------
% 12.01/1.89 % (18374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.01/1.89 % (18374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.01/1.89 % (18374)Termination reason: Unknown
% 12.01/1.89 % (18374)Termination phase: Saturation
% 12.01/1.89
% 12.01/1.89 % (18374)Memory used [KB]: 9594
% 12.01/1.89 % (18374)Time elapsed: 1.347 s
% 12.01/1.89 % (18374)Instructions burned: 389 (million)
% 12.01/1.89 % (18374)------------------------------
% 12.01/1.89 % (18374)------------------------------
% 12.95/2.02 % (18408)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 (2985ds/4958Mi)
% 13.47/2.06 % (18380)Instruction limit reached!
% 13.47/2.06 % (18380)------------------------------
% 13.47/2.06 % (18380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.47/2.06 % (18380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.47/2.06 % (18380)Termination reason: Unknown
% 13.47/2.06 % (18380)Termination phase: Saturation
% 13.47/2.06
% 13.47/2.06 % (18380)Memory used [KB]: 1663
% 13.47/2.06 % (18380)Time elapsed: 1.391 s
% 13.47/2.06 % (18380)Instructions burned: 657 (million)
% 13.47/2.06 % (18380)------------------------------
% 13.47/2.06 % (18380)------------------------------
% 13.55/2.08 % (18409)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/35256Mi)
% 13.92/2.13 % (18410)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/32293Mi)
% 14.13/2.19 % (18411)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/37001Mi)
% 14.13/2.20 % (18379)Instruction limit reached!
% 14.13/2.20 % (18379)------------------------------
% 14.13/2.20 % (18379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.13/2.22 % (18379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.13/2.22 % (18379)Termination reason: Unknown
% 14.13/2.22 % (18379)Termination phase: Saturation
% 14.13/2.22
% 14.13/2.22 % (18379)Memory used [KB]: 13048
% 14.13/2.22 % (18379)Time elapsed: 1.419 s
% 14.13/2.22 % (18379)Instructions burned: 747 (million)
% 14.13/2.22 % (18379)------------------------------
% 14.13/2.22 % (18379)------------------------------
% 14.69/2.30 % (18412)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/10187Mi)
% 16.56/2.42 TRYING [6]
% 16.56/2.42 % (18413)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/29337Mi)
% 17.22/2.55 % (18378)Instruction limit reached!
% 17.22/2.55 % (18378)------------------------------
% 17.22/2.55 % (18378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.22/2.55 % (18378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.22/2.55 % (18378)Termination reason: Unknown
% 17.22/2.55 % (18378)Termination phase: Saturation
% 17.22/2.55
% 17.22/2.55 % (18378)Memory used [KB]: 13944
% 17.22/2.55 % (18378)Time elapsed: 1.835 s
% 17.22/2.55 % (18378)Instructions burned: 934 (million)
% 17.22/2.55 % (18378)------------------------------
% 17.22/2.55 % (18378)------------------------------
% 18.87/2.76 % (18414)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/10147Mi)
% 21.24/3.09 % (18377)Instruction limit reached!
% 21.24/3.09 % (18377)------------------------------
% 21.24/3.09 % (18377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.24/3.09 % (18377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.24/3.09 % (18377)Termination reason: Unknown
% 21.24/3.09 % (18377)Termination phase: Saturation
% 21.24/3.09
% 21.24/3.09 % (18377)Memory used [KB]: 12920
% 21.24/3.09 % (18377)Time elapsed: 2.433 s
% 21.24/3.09 % (18377)Instructions burned: 921 (million)
% 21.24/3.09 % (18377)------------------------------
% 21.24/3.09 % (18377)------------------------------
% 21.93/3.14 % (18382)Instruction limit reached!
% 21.93/3.14 % (18382)------------------------------
% 21.93/3.14 % (18382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.93/3.14 % (18382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.93/3.14 % (18382)Termination reason: Unknown
% 21.93/3.14 % (18382)Termination phase: Saturation
% 21.93/3.14
% 21.93/3.14 % (18382)Memory used [KB]: 13304
% 21.93/3.14 % (18382)Time elapsed: 2.406 s
% 21.93/3.14 % (18382)Instructions burned: 941 (million)
% 21.93/3.14 % (18382)------------------------------
% 21.93/3.14 % (18382)------------------------------
% 23.52/3.35 % (18415)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/38056Mi)
% 23.52/3.38 TRYING [3]
% 23.52/3.38 % (18416)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/33239Mi)
% 24.16/3.41 TRYING [3]
% 24.86/3.49 TRYING [4]
% 25.19/3.52 TRYING [4]
% 26.39/3.72 % (18383)Instruction limit reached!
% 26.39/3.72 % (18383)------------------------------
% 26.39/3.72 % (18383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.39/3.72 % (18383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.39/3.72 % (18383)Termination reason: Unknown
% 26.39/3.72 % (18383)Termination phase: Saturation
% 26.39/3.72
% 26.39/3.72 % (18383)Memory used [KB]: 17654
% 26.39/3.72 % (18383)Time elapsed: 3.024 s
% 26.39/3.72 % (18383)Instructions burned: 982 (million)
% 26.39/3.72 % (18383)------------------------------
% 26.39/3.72 % (18383)------------------------------
% 27.86/3.86 TRYING [5]
% 27.86/3.89 TRYING [5]
% 28.72/3.97 % (18417)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/20987Mi)
% 28.72/4.00 TRYING [3]
% 28.72/4.00 % (18385)Instruction limit reached!
% 28.72/4.00 % (18385)------------------------------
% 28.72/4.00 % (18385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.72/4.00 % (18385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.72/4.00 % (18385)Termination reason: Unknown
% 28.72/4.00 % (18385)Termination phase: Saturation
% 28.72/4.00
% 28.72/4.00 % (18385)Memory used [KB]: 2430
% 28.72/4.00 % (18385)Time elapsed: 3.285 s
% 28.72/4.00 % (18385)Instructions burned: 2017 (million)
% 28.72/4.00 % (18385)------------------------------
% 28.72/4.00 % (18385)------------------------------
% 29.71/4.10 % (18392)Instruction limit reached!
% 29.71/4.10 % (18392)------------------------------
% 29.71/4.10 % (18392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.71/4.10 % (18392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.71/4.10 % (18392)Termination reason: Unknown
% 29.71/4.10 % (18392)Termination phase: Saturation
% 29.71/4.10
% 29.71/4.10 % (18392)Memory used [KB]: 6396
% 29.71/4.10 % (18392)Time elapsed: 3.261 s
% 29.71/4.10 % (18392)Instructions burned: 1824 (million)
% 29.71/4.10 % (18392)------------------------------
% 29.71/4.10 % (18392)------------------------------
% 29.71/4.11 TRYING [4]
% 31.24/4.30 % (18419)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/19144Mi)
% 31.75/4.35 % (18418)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/49917Mi)
% 31.75/4.38 TRYING [3]
% 32.71/4.54 TRYING [4]
% 33.55/4.64 % (18403)Instruction limit reached!
% 33.55/4.64 % (18403)------------------------------
% 33.55/4.64 % (18403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.55/4.64 % (18403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.55/4.64 % (18403)Termination reason: Unknown
% 33.55/4.64 % (18403)Termination phase: Saturation
% 33.55/4.64
% 33.55/4.64 % (18403)Memory used [KB]: 8059
% 33.55/4.64 % (18403)Time elapsed: 3.232 s
% 33.55/4.64 % (18403)Instructions burned: 1825 (million)
% 33.55/4.64 % (18403)------------------------------
% 33.55/4.64 % (18403)------------------------------
% 33.55/4.66 % (18397)Instruction limit reached!
% 33.55/4.66 % (18397)------------------------------
% 33.55/4.66 % (18397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.55/4.66 % (18397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.55/4.66 % (18397)Termination reason: Unknown
% 33.55/4.66 % (18397)Termination phase: Saturation
% 33.55/4.66
% 33.55/4.66 % (18397)Memory used [KB]: 2430
% 33.55/4.66 % (18397)Time elapsed: 3.543 s
% 33.55/4.66 % (18397)Instructions burned: 2016 (million)
% 33.55/4.66 % (18397)------------------------------
% 33.55/4.66 % (18397)------------------------------
% 34.63/4.73 TRYING [5]
% 35.76/4.85 % (18420)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/27492Mi)
% 35.76/4.90 % (18421)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/6101Mi)
% 36.42/4.95 TRYING [6]
% 36.88/5.05 TRYING [5]
% 37.44/5.08 TRYING [6]
% 44.04/5.88 % (18393)Instruction limit reached!
% 44.04/5.88 % (18393)------------------------------
% 44.04/5.88 % (18393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.16/5.89 % (18393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.16/5.89 % (18393)Termination reason: Unknown
% 44.16/5.89 % (18393)Termination phase: Saturation
% 44.16/5.89
% 44.16/5.89 % (18393)Memory used [KB]: 20852
% 44.16/5.89 % (18393)Time elapsed: 4.983 s
% 44.16/5.89 % (18393)Instructions burned: 2135 (million)
% 44.16/5.89 % (18393)------------------------------
% 44.16/5.89 % (18393)------------------------------
% 45.65/6.10 % (18423)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 (2944ds/90Mi)
% 45.65/6.12 TRYING [7]
% 46.80/6.26 % (18423)Instruction limit reached!
% 46.80/6.26 % (18423)------------------------------
% 46.80/6.26 % (18423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.80/6.26 % (18423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.80/6.26 % (18423)Termination reason: Unknown
% 46.80/6.26 % (18423)Termination phase: Saturation
% 46.80/6.26
% 46.80/6.26 % (18423)Memory used [KB]: 6012
% 46.80/6.26 % (18423)Time elapsed: 0.246 s
% 46.80/6.26 % (18423)Instructions burned: 91 (million)
% 46.80/6.26 % (18423)------------------------------
% 46.80/6.26 % (18423)------------------------------
% 49.14/6.54 TRYING [6]
% 49.76/6.63 % (18424)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=91600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/91600Mi)
% 50.78/6.72 TRYING [6]
% 52.84/7.00 TRYING [7]
% 57.53/7.58 % (18394)Instruction limit reached!
% 57.53/7.58 % (18394)------------------------------
% 57.53/7.58 % (18394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 57.53/7.58 % (18394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 57.53/7.58 % (18394)Termination reason: Unknown
% 57.53/7.58 % (18394)Termination phase: Saturation
% 57.53/7.58
% 57.53/7.58 % (18394)Memory used [KB]: 18293
% 57.53/7.58 % (18394)Time elapsed: 6.593 s
% 57.53/7.58 % (18394)Instructions burned: 2891 (million)
% 57.53/7.58 % (18394)------------------------------
% 57.53/7.58 % (18394)------------------------------
% 59.63/7.90 % (18425)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=7127:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/7127Mi)
% 61.54/8.14 TRYING [7]
% 67.92/8.88 % (18386)Instruction limit reached!
% 67.92/8.88 % (18386)------------------------------
% 67.92/8.88 % (18386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 67.92/8.88 % (18386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 67.92/8.88 % (18386)Termination reason: Unknown
% 67.92/8.88 % (18386)Termination phase: Saturation
% 67.92/8.88
% 67.92/8.88 % (18386)Memory used [KB]: 36459
% 67.92/8.88 % (18386)Time elapsed: 8.153 s
% 67.92/8.88 % (18386)Instructions burned: 3736 (million)
% 67.92/8.88 % (18386)------------------------------
% 67.92/8.88 % (18386)------------------------------
% 69.08/9.03 TRYING [7]
% 69.08/9.04 % (18427)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2914ds/35256Mi)
% 73.35/9.63 % (18408)Instruction limit reached!
% 73.35/9.63 % (18408)------------------------------
% 73.35/9.63 % (18408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 73.35/9.63 % (18408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 73.35/9.63 % (18408)Termination reason: Unknown
% 73.35/9.63 % (18408)Termination phase: Saturation
% 73.35/9.63
% 73.35/9.63 % (18408)Memory used [KB]: 11513
% 73.35/9.63 % (18408)Time elapsed: 7.756 s
% 73.94/9.64 % (18408)Instructions burned: 4958 (million)
% 73.94/9.64 % (18408)------------------------------
% 73.94/9.64 % (18408)------------------------------
% 74.78/9.75 % (18428)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2906ds/32293Mi)
% 78.96/10.33 % (18395)Instruction limit reached!
% 78.96/10.33 % (18395)------------------------------
% 78.96/10.33 % (18395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 78.96/10.33 % (18395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 78.96/10.33 % (18395)Termination reason: Unknown
% 78.96/10.33 % (18395)Termination phase: Saturation
% 78.96/10.33
% 78.96/10.33 % (18395)Memory used [KB]: 46566
% 78.96/10.33 % (18395)Time elapsed: 9.374 s
% 78.96/10.33 % (18395)Instructions burned: 4585 (million)
% 78.96/10.33 % (18395)------------------------------
% 78.96/10.33 % (18395)------------------------------
% 80.57/10.50 % (18527)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2899ds/29337Mi)
% 80.57/10.52 % (18390)Instruction limit reached!
% 80.57/10.52 % (18390)------------------------------
% 80.57/10.52 % (18390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 80.99/10.52 % (18390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 80.99/10.52 % (18390)Termination reason: Unknown
% 80.99/10.52 % (18390)Termination phase: Saturation
% 80.99/10.52
% 80.99/10.52 % (18390)Memory used [KB]: 27121
% 80.99/10.52 % (18390)Time elapsed: 9.678 s
% 80.99/10.52 % (18390)Instructions burned: 4931 (million)
% 80.99/10.52 % (18390)------------------------------
% 80.99/10.52 % (18390)------------------------------
% 81.22/10.60 TRYING [7]
% 81.76/10.64 % (18389)Instruction limit reached!
% 81.76/10.64 % (18389)------------------------------
% 81.76/10.64 % (18389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 81.76/10.64 % (18389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 81.76/10.64 % (18389)Termination reason: Unknown
% 81.76/10.64 % (18389)Termination phase: Saturation
% 81.76/10.64
% 81.76/10.64 % (18389)Memory used [KB]: 35436
% 81.76/10.64 % (18389)Time elapsed: 9.814 s
% 81.76/10.64 % (18389)Instructions burned: 4758 (million)
% 81.76/10.64 % (18389)------------------------------
% 81.76/10.64 % (18389)------------------------------
% 82.08/10.68 % (18604)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=99860:si=on:rawr=on:rtra=on_0 on theBenchmark for (2897ds/99860Mi)
% 82.08/10.71 TRYING [3]
% 82.84/10.78 % (18659)fmb+10_1:1_fmbas=expand:i=96985:si=on:rawr=on:rtra=on_0 on theBenchmark for (2896ds/96985Mi)
% 82.84/10.78 Detected maximum model sizes of [max,1]
% 82.84/10.79 TRYING [3,3]
% 82.84/10.79 TRYING [4]
% 83.21/10.83 TRYING [4,3]
% 84.63/10.98 TRYING [5]
% 84.63/11.03 TRYING [5,3]
% 86.07/11.18 % (18388)Instruction limit reached!
% 86.07/11.18 % (18388)------------------------------
% 86.07/11.18 % (18388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 86.07/11.18 % (18388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 86.07/11.18 % (18388)Termination reason: Unknown
% 86.07/11.18 % (18388)Termination phase: Saturation
% 86.07/11.18
% 86.07/11.18 % (18388)Memory used [KB]: 56289
% 86.07/11.18 % (18388)Time elapsed: 10.394 s
% 86.07/11.18 % (18388)Instructions burned: 4960 (million)
% 86.07/11.18 % (18388)------------------------------
% 86.07/11.18 % (18388)------------------------------
% 86.73/11.26 TRYING [8]
% 86.73/11.26 TRYING [8]
% 87.09/11.34 % (18662)fmb+10_1:1_bce=on:dr=on:fmbsr=1.47:gsp=on:nm=2:skr=on:i=99648:si=on:rawr=on:rtra=on_0 on theBenchmark for (2891ds/99648Mi)
% 87.66/11.37 TRYING [3]
% 88.17/11.44 TRYING [4]
% 88.53/11.47 % (18387)Instruction limit reached!
% 88.53/11.47 % (18387)------------------------------
% 88.53/11.47 % (18387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 88.53/11.47 % (18387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 88.53/11.47 % (18387)Termination reason: Unknown
% 88.53/11.47 % (18387)Termination phase: Saturation
% 88.53/11.47
% 88.53/11.47 % (18387)Memory used [KB]: 13816
% 88.53/11.47 % (18387)Time elapsed: 10.716 s
% 88.53/11.47 % (18387)Instructions burned: 4958 (million)
% 88.53/11.47 % (18387)------------------------------
% 88.53/11.47 % (18387)------------------------------
% 89.45/11.60 % (18663)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=99882:si=on:rawr=on:rtra=on_0 on theBenchmark for (2888ds/99882Mi)
% 89.45/11.62 TRYING [3]
% 89.97/11.68 TRYING [4]
% 89.97/11.68 TRYING [5]
% 90.47/11.76 TRYING [6,3]
% 90.47/11.76 TRYING [6]
% 91.74/11.91 TRYING [5]
% 95.79/12.41 TRYING [6]
% 97.02/12.54 TRYING [8]
% 98.17/12.68 TRYING [6]
% 104.19/13.43 TRYING [7,3]
% 104.47/13.53 TRYING [8]
% 106.10/13.73 TRYING [7]
% 110.05/14.23 TRYING [7]
% 113.98/14.71 TRYING [7]
% 126.70/16.26 % (18398)Instruction limit reached!
% 126.70/16.26 % (18398)------------------------------
% 126.70/16.26 % (18398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 126.70/16.26 % (18398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 126.70/16.26 % (18398)Termination reason: Unknown
% 126.70/16.26 % (18398)Termination phase: Saturation
% 126.70/16.26
% 126.70/16.26 % (18398)Memory used [KB]: 71512
% 126.70/16.26 % (18398)Time elapsed: 15.139 s
% 126.70/16.26 % (18398)Instructions burned: 8004 (million)
% 126.70/16.26 % (18398)------------------------------
% 126.70/16.26 % (18398)------------------------------
% 129.07/16.61 % (19060)fmb+10_1:1_bce=on:fmbas=predicate:fmbsr=1.5:fmbsso=preprocessed_usage:nm=4:skr=on:i=99913:si=on:rawr=on:rtra=on_0 on theBenchmark for (2840ds/99913Mi)
% 129.73/16.66 TRYING [3]
% 130.70/16.81 TRYING [4]
% 131.44/16.91 % (18421)Instruction limit reached!
% 131.44/16.91 % (18421)------------------------------
% 131.44/16.91 % (18421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 131.44/16.91 % (18421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 131.44/16.91 % (18421)Termination reason: Unknown
% 131.44/16.91 % (18421)Termination phase: Saturation
% 131.44/16.91
% 131.44/16.91 % (18421)Memory used [KB]: 45287
% 131.44/16.91 % (18421)Time elapsed: 10.361 s
% 131.44/16.91 % (18421)Instructions burned: 6101 (million)
% 131.44/16.91 % (18421)------------------------------
% 131.44/16.91 % (18421)------------------------------
% 133.54/17.16 % (19069)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=28201:si=on:rawr=on:rtra=on_0 on theBenchmark for (2833ds/28201Mi)
% 134.33/17.24 % (18400)First to succeed.
% 134.96/17.37 % (18400)Refutation found. Thanks to Tanya!
% 134.96/17.37 % SZS status Theorem for theBenchmark
% 134.96/17.37 % SZS output start Proof for theBenchmark
% See solution above
% 134.96/17.38 % (18400)------------------------------
% 134.96/17.38 % (18400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 134.96/17.38 % (18400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 134.96/17.38 % (18400)Termination reason: Refutation
% 134.96/17.38
% 134.96/17.38 % (18400)Memory used [KB]: 79956
% 134.96/17.38 % (18400)Time elapsed: 16.035 s
% 134.96/17.38 % (18400)Instructions burned: 8776 (million)
% 134.96/17.38 % (18400)------------------------------
% 134.96/17.38 % (18400)------------------------------
% 134.96/17.38 % (18343)Success in time 17.064 s
%------------------------------------------------------------------------------