%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : PUZ127^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 Feb 25 09:28:33 AM UTC 2026
% Result : Theorem 32.11s 5.98s
% Output : Refutation 32.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 193
% Syntax : Number of formulae : 2004 ( 34 unt; 0 typ; 192 def)
% Number of atoms : 15134 (3132 equ; 0 cnn)
% Maximal formula atoms : 34 ( 7 avg)
% Number of connectives : 14091 (2208 ~;4672 |; 124 &;6883 @)
% ( 204 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 202 ( 200 usr; 199 con; 0-2 aty)
% Number of variables : 142 ( 0 ^; 142 !; 0 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
g: $i > $i > $i ).
thf(func_def_6,type,
s: $i > $i ).
thf(f29818,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f545,f720,f747,f881,f1008,f1095,f1187,f1268,f2328,f2889,f3077,f3111,f3164,f3294,f3526,f3589,f4141,f4278,f4487,f4628,f4801,f4821,f4847,f4866,f4978,f5079,f5113,f5149,f5295,f5366,f5370,f5410,f5415,f5459,f6128,f6208,f6248,f6372,f6389,f7006,f7026,f7055,f7270,f7315,f7531,f7592,f7623,f7716,f8289,f8312,f8374,f8677,f9018,f9332,f9399,f9424,f9515,f9634,f10197,f10302,f10361,f10383,f10447,f10664,f11476,f11478,f11629,f11678,f11685,f11738,f11790,f11791,f11858,f12025,f12056,f12074,f12129,f12147,f12200,f12208,f12247,f12393,f12563,f12684,f12716,f12759,f12793,f13021,f13033,f13170,f13196,f13235,f13238,f13239,f13295,f13320,f13438,f13448,f13487,f13601,f13675,f13702,f13730,f13764,f13782,f13970,f13990,f14019,f14050,f14167,f14487,f14534,f14605,f14643,f14808,f14868,f14915,f15016,f15471,f15480,f15605,f15867,f15921,f16149,f16183,f16188,f16303,f16321,f16402,f16433,f16532,f16552,f16652,f16700,f16702,f16732,f16739,f16757,f16953,f16959,f17104,f17125,f17292,f17331,f17360,f17541,f17573,f17611,f17680,f17690,f17768,f17784,f17886,f17933,f18049,f18085,f18098,f18160,f18166,f18191,f18219,f18301,f18400,f18434,f18708,f18711,f18738,f18781,f18799,f18833,f18850,f18915,f18919,f18975,f19040,f19051,f19139,f19146,f19147,f19225,f19475,f19610,f19727,f19799,f19837,f19998,f20017,f20105,f20322,f20363,f20367,f20397,f20427,f20480,f20485,f20752,f20761,f20982,f21001,f21019,f21113,f21379,f21481,f21720,f21768,f21843,f22009,f22029,f22053,f22059,f22126,f22134,f22139,f22142,f22145,f22528,f22688,f22774,f22838,f22843,f22921,f22925,f22933,f23250,f23253,f23361,f23553,f23642,f23692,f23709,f23798,f23814,f23830,f23947,f24001,f24026,f24055,f24058,f24081,f24227,f24588,f24842,f24866,f24904,f24965,f25105,f25190,f25399,f25404,f25464,f25468,f25526,f25562,f25577,f25625,f25669,f25784,f25871,f26423,f26459,f26461,f26528,f26645,f26780,f26795,f26928,f27011,f27134,f27151,f27243,f27350,f27377,f27394,f27426,f27493,f27608,f27627,f27756,f27768,f27781,f27880,f27929,f27945,f27994,f28070,f28299,f28307,f28327,f28338,f28342,f28344,f28347,f28350,f28353,f28366,f28506,f28635,f28832,f28913,f28990,f29028,f29072,f29082,f29101,f29257,f29292,f29466,f29521,f29528,f29553,f29583,f29601,f29611,f29655,f29693,f29706,f29764,f29773,f29774,f29817]) ).
thf(f29817,plain,
( ~ spl0_1
| spl0_13 ),
inference(avatar_contradiction_clause,[status(thm)],[f29816]) ).
thf(f29816,plain,
( $false
| ~ spl0_1
| spl0_13 ),
inference(subsumption_resolution,[status(thm)],[f29815,f212]) ).
thf(f212,plain,
( ( c2 != c4 )
| spl0_13 ),
inference(avatar_component_clause,[status(thm)],[f210]) ).
thf(f210,definition,
( spl0_13
<=> ( c2 = c4 ) ),
introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition]) ).
thf(f29815,plain,
( ( c2 = c4 )
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f29814,f30]) ).
thf(f30,plain,
( c4
= ( s @ c3 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
( ( c4
= ( s @ c3 ) )
& ! [X0: $i,X1: $i] :
( ( ( c1
= ( g @ X1 @ X0 ) )
| ( c3
!= ( g @ ( s @ X1 ) @ X0 ) ) )
& ( ( c3
= ( g @ ( s @ X1 ) @ X0 ) )
| ( c1
!= ( g @ X1 @ X0 ) ) ) )
& ( ( s @ c8 )
= c1 )
& ( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) )
& ( c2
= ( s @ c1 ) )
& ! [X2: $i] :
( ( s @ ( s @ ( s @ ( s @ X2 ) ) ) )
!= X2 )
& ! [X3: $i,X4: $i] :
( ( ( ( c8 = X4 )
& ( c8 = X3 ) )
| ( ( c1 = X4 )
& ( c1 = X3 ) )
| ( c5
!= ( g @ X4 @ X3 ) ) )
& ( ( c5
= ( g @ X4 @ X3 ) )
| ( ( ( c8 != X4 )
| ( c8 != X3 ) )
& ( ( c1 != X4 )
| ( c1 != X3 ) ) ) ) )
& ! [X5: $i,X6: $i] :
( ( c3
!= ( g @ c1 @ X6 ) )
& ( c4
!= ( g @ X5 @ c1 ) )
& ( c2
!= ( g @ X5 @ c8 ) )
& ( c1
!= ( g @ c8 @ X6 ) ) )
& ( c3
= ( s @ c2 ) )
& ! [X7: $i,X8: $i] :
( ( c1
= ( g @ X8 @ X7 ) )
| ( c4
= ( g @ X8 @ X7 ) )
| ( c3
= ( g @ X8 @ X7 ) )
| ( c5
= ( g @ X8 @ X7 ) )
| ( c2
= ( g @ X8 @ X7 ) ) )
& ( c5
= ( s @ c4 ) )
& ! [X9: $i,X10: $i] :
( ( ( c2
= ( g @ X9 @ X10 ) )
| ( c4
!= ( g @ X9 @ ( s @ X10 ) ) ) )
& ( ( c4
= ( g @ X9 @ ( s @ X10 ) ) )
| ( c2
!= ( g @ X9 @ X10 ) ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,plain,
( ( c4
= ( s @ c3 ) )
& ! [X6: $i,X7: $i] :
( ( ( c1
= ( g @ X7 @ X6 ) )
| ( c3
!= ( g @ ( s @ X7 ) @ X6 ) ) )
& ( ( c3
= ( g @ ( s @ X7 ) @ X6 ) )
| ( c1
!= ( g @ X7 @ X6 ) ) ) )
& ( ( s @ c8 )
= c1 )
& ( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) )
& ( c2
= ( s @ c1 ) )
& ! [X8: $i] :
( ( s @ ( s @ ( s @ ( s @ X8 ) ) ) )
!= X8 )
& ! [X3: $i,X2: $i] :
( ( ( ( c8 = X2 )
& ( c8 = X3 ) )
| ( ( c1 = X2 )
& ( c1 = X3 ) )
| ( c5
!= ( g @ X2 @ X3 ) ) )
& ( ( c5
= ( g @ X2 @ X3 ) )
| ( ( ( c8 != X2 )
| ( c8 != X3 ) )
& ( ( c1 != X2 )
| ( c1 != X3 ) ) ) ) )
& ! [X1: $i,X0: $i] :
( ( c3
!= ( g @ c1 @ X0 ) )
& ( c4
!= ( g @ X1 @ c1 ) )
& ( c2
!= ( g @ X1 @ c8 ) )
& ( c1
!= ( g @ c8 @ X0 ) ) )
& ( c3
= ( s @ c2 ) )
& ! [X5: $i,X4: $i] :
( ( c1
= ( g @ X4 @ X5 ) )
| ( c4
= ( g @ X4 @ X5 ) )
| ( c3
= ( g @ X4 @ X5 ) )
| ( c5
= ( g @ X4 @ X5 ) )
| ( c2
= ( g @ X4 @ X5 ) ) )
& ( c5
= ( s @ c4 ) )
& ! [X9: $i,X10: $i] :
( ( ( c2
= ( g @ X9 @ X10 ) )
| ( c4
!= ( g @ X9 @ ( s @ X10 ) ) ) )
& ( ( c4
= ( g @ X9 @ ( s @ X10 ) ) )
| ( c2
!= ( g @ X9 @ X10 ) ) ) ) ),
inference(flattening,[status(thm)],[f6]) ).
thf(f6,plain,
( ( c4
= ( s @ c3 ) )
& ! [X6: $i,X7: $i] :
( ( ( c1
= ( g @ X7 @ X6 ) )
| ( c3
!= ( g @ ( s @ X7 ) @ X6 ) ) )
& ( ( c3
= ( g @ ( s @ X7 ) @ X6 ) )
| ( c1
!= ( g @ X7 @ X6 ) ) ) )
& ( ( s @ c8 )
= c1 )
& ( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) )
& ( c2
= ( s @ c1 ) )
& ! [X8: $i] :
( ( s @ ( s @ ( s @ ( s @ X8 ) ) ) )
!= X8 )
& ! [X3: $i,X2: $i] :
( ( ( ( c8 = X2 )
& ( c8 = X3 ) )
| ( ( c1 = X2 )
& ( c1 = X3 ) )
| ( c5
!= ( g @ X2 @ X3 ) ) )
& ( ( c5
= ( g @ X2 @ X3 ) )
| ( ( ( c8 != X2 )
| ( c8 != X3 ) )
& ( ( c1 != X2 )
| ( c1 != X3 ) ) ) ) )
& ! [X1: $i,X0: $i] :
( ( c3
!= ( g @ c1 @ X0 ) )
& ( c4
!= ( g @ X1 @ c1 ) )
& ( c2
!= ( g @ X1 @ c8 ) )
& ( c1
!= ( g @ c8 @ X0 ) ) )
& ( c3
= ( s @ c2 ) )
& ! [X5: $i,X4: $i] :
( ( c1
= ( g @ X4 @ X5 ) )
| ( c4
= ( g @ X4 @ X5 ) )
| ( c3
= ( g @ X4 @ X5 ) )
| ( c5
= ( g @ X4 @ X5 ) )
| ( c2
= ( g @ X4 @ X5 ) ) )
& ( c5
= ( s @ c4 ) )
& ! [X9: $i,X10: $i] :
( ( ( c2
= ( g @ X9 @ X10 ) )
| ( c4
!= ( g @ X9 @ ( s @ X10 ) ) ) )
& ( ( c4
= ( g @ X9 @ ( s @ X10 ) ) )
| ( c2
!= ( g @ X9 @ X10 ) ) ) ) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( c4
= ( s @ c3 ) )
& ! [X6: $i,X7: $i] :
( ( c1
= ( g @ X7 @ X6 ) )
<=> ( c3
= ( g @ ( s @ X7 ) @ X6 ) ) )
& ( ( s @ c8 )
= c1 )
& ( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) )
& ( c2
= ( s @ c1 ) )
& ! [X8: $i] :
( ( s @ ( s @ ( s @ ( s @ X8 ) ) ) )
!= X8 )
& ! [X3: $i,X2: $i] :
( ( ( ( c8 = X2 )
& ( c8 = X3 ) )
| ( ( c1 = X2 )
& ( c1 = X3 ) ) )
<=> ( c5
= ( g @ X2 @ X3 ) ) )
& ! [X1: $i,X0: $i] :
( ( c3
!= ( g @ c1 @ X0 ) )
& ( c4
!= ( g @ X1 @ c1 ) )
& ( c2
!= ( g @ X1 @ c8 ) )
& ( c1
!= ( g @ c8 @ X0 ) ) )
& ( c3
= ( s @ c2 ) )
& ! [X5: $i,X4: $i] :
( ( c1
= ( g @ X4 @ X5 ) )
| ( c4
= ( g @ X4 @ X5 ) )
| ( c3
= ( g @ X4 @ X5 ) )
| ( c5
= ( g @ X4 @ X5 ) )
| ( c2
= ( g @ X4 @ X5 ) ) )
& ( c5
= ( s @ c4 ) )
& ! [X9: $i,X10: $i] :
( ( c2
= ( g @ X9 @ X10 ) )
<=> ( c4
= ( g @ X9 @ ( s @ X10 ) ) ) ) ),
inference(flattening,[status(thm)],[f4]) ).
thf(f4,plain,
~ ~ ( ( c4
= ( s @ c3 ) )
& ! [X6: $i,X7: $i] :
( ( c1
= ( g @ X7 @ X6 ) )
<=> ( c3
= ( g @ ( s @ X7 ) @ X6 ) ) )
& ( ( s @ c8 )
= c1 )
& ( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) )
& ( c2
= ( s @ c1 ) )
& ! [X8: $i] :
( ( s @ ( s @ ( s @ ( s @ X8 ) ) ) )
!= X8 )
& ! [X3: $i,X2: $i] :
( ( ( ( c8 = X2 )
& ( c8 = X3 ) )
| ( ( c1 = X2 )
& ( c1 = X3 ) ) )
<=> ( c5
= ( g @ X2 @ X3 ) ) )
& ! [X1: $i,X0: $i] :
( ( c3
!= ( g @ c1 @ X0 ) )
& ( c4
!= ( g @ X1 @ c1 ) )
& ( c2
!= ( g @ X1 @ c8 ) )
& ( c1
!= ( g @ c8 @ X0 ) ) )
& ( c3
= ( s @ c2 ) )
& ! [X5: $i,X4: $i] :
( ( c1
= ( g @ X4 @ X5 ) )
| ( c4
= ( g @ X4 @ X5 ) )
| ( c3
= ( g @ X4 @ X5 ) )
| ( c5
= ( g @ X4 @ X5 ) )
| ( c2
= ( g @ X4 @ X5 ) ) )
& ( c5
= ( s @ c4 ) )
& ! [X9: $i,X10: $i] :
( ( c2
= ( g @ X9 @ X10 ) )
<=> ( c4
= ( g @ X9 @ ( s @ X10 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ~ ( ! [X1: $i,X0: $i] :
( ( c3
!= ( g @ c1 @ X1 ) )
& ( c2
!= ( g @ X0 @ c8 ) )
& ( c1
!= ( g @ c8 @ X1 ) )
& ( c4
!= ( g @ X0 @ c1 ) ) )
& ( c2
= ( s @ c1 ) )
& ! [X0: $i,X1: $i] :
( ( ( g @ X0 @ X1 )
= c5 )
<=> ( ( ( c1 = X0 )
& ( c1 = X1 ) )
| ( ( c8 = X0 )
& ( c8 = X1 ) ) ) )
& ! [X0: $i,X1: $i] :
( ( ( g @ X0 @ X1 )
= c2 )
| ( ( g @ X0 @ X1 )
= c5 )
| ( ( g @ X0 @ X1 )
= c4 )
| ( ( g @ X0 @ X1 )
= c3 )
| ( ( g @ X0 @ X1 )
= c1 ) )
& ( ( s @ c8 )
= c1 )
& ! [X1: $i,X0: $i] :
( ( ( g @ ( s @ X0 ) @ X1 )
= c3 )
<=> ( ( g @ X0 @ X1 )
= c1 ) )
& ( c4
= ( s @ c3 ) )
& ( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) )
& ( c3
= ( s @ c2 ) )
& ( c5
= ( s @ c4 ) )
& ! [X0: $i] :
( ( s @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= X0 )
& ! [X0: $i,X1: $i] :
( ( ( g @ X0 @ X1 )
= c2 )
<=> ( ( g @ X0 @ ( s @ X1 ) )
= c4 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
~ ( ! [X1: $i,X0: $i] :
( ( c3
!= ( g @ c1 @ X1 ) )
& ( c2
!= ( g @ X0 @ c8 ) )
& ( c1
!= ( g @ c8 @ X1 ) )
& ( c4
!= ( g @ X0 @ c1 ) ) )
& ( c2
= ( s @ c1 ) )
& ! [X0: $i,X1: $i] :
( ( ( g @ X0 @ X1 )
= c5 )
<=> ( ( ( c1 = X0 )
& ( c1 = X1 ) )
| ( ( c8 = X0 )
& ( c8 = X1 ) ) ) )
& ! [X0: $i,X1: $i] :
( ( ( g @ X0 @ X1 )
= c2 )
| ( ( g @ X0 @ X1 )
= c5 )
| ( ( g @ X0 @ X1 )
= c4 )
| ( ( g @ X0 @ X1 )
= c3 )
| ( ( g @ X0 @ X1 )
= c1 ) )
& ( ( s @ c8 )
= c1 )
& ! [X1: $i,X0: $i] :
( ( ( g @ ( s @ X0 ) @ X1 )
= c3 )
<=> ( ( g @ X0 @ X1 )
= c1 ) )
& ( c4
= ( s @ c3 ) )
& ( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) )
& ( c3
= ( s @ c2 ) )
& ( c5
= ( s @ c4 ) )
& ! [X0: $i] :
( ( s @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= X0 )
& ! [X0: $i,X1: $i] :
( ( ( g @ X0 @ X1 )
= c2 )
<=> ( ( g @ X0 @ ( s @ X1 ) )
= c4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lJGvwCr8Rt/DTF2THF_28414.p',cTOUGHNUT2) ).
thf(f29814,plain,
( ( c2
= ( s @ c3 ) )
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f25,f116]) ).
thf(f116,plain,
( ( c1 = c3 )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f115]) ).
thf(f115,definition,
( spl0_1
<=> ( c1 = c3 ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f25,plain,
( c2
= ( s @ c1 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f29774,plain,
( spl0_122
| spl0_91
| spl0_119
| spl0_264
| spl0_120 ),
inference(avatar_split_clause,[status(thm)],[f16734,f2466,f11055,f2462,f1818,f2474]) ).
thf(f2474,definition,
( spl0_122
<=> ( c3
= ( g @ c3 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_122])],[avatar_definition]) ).
thf(f1818,definition,
( spl0_91
<=> ( c4
= ( g @ c3 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_91])],[avatar_definition]) ).
thf(f2462,definition,
( spl0_119
<=> ( c3
= ( g @ c4 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_119])],[avatar_definition]) ).
thf(f11055,definition,
( spl0_264
<=> ( c4
= ( g @ c3 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_264])],[avatar_definition]) ).
thf(f2466,definition,
( spl0_120
<=> ( c5
= ( g @ c3 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_120])],[avatar_definition]) ).
thf(f16734,plain,
( ( c3
= ( g @ c4 @ c4 ) )
| ( c4
= ( g @ c3 @ c4 ) )
| ( c4
= ( g @ c3 @ c5 ) )
| ( c3
= ( g @ c3 @ c4 ) )
| spl0_120 ),
inference(subsumption_resolution,[status(thm)],[f12927,f2467]) ).
thf(f2467,plain,
( ( c5
!= ( g @ c3 @ c4 ) )
| spl0_120 ),
inference(avatar_component_clause,[status(thm)],[f2466]) ).
thf(f12927,plain,
( ( c5
= ( g @ c3 @ c4 ) )
| ( c3
= ( g @ c4 @ c4 ) )
| ( c4
= ( g @ c3 @ c4 ) )
| ( c4
= ( g @ c3 @ c5 ) )
| ( c3
= ( g @ c3 @ c4 ) ) ),
inference(superposition,[status(thm)],[f650,f11]) ).
thf(f11,plain,
( c5
= ( s @ c4 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f650,plain,
! [X0: $i] :
( ( c4
= ( g @ c3 @ ( s @ X0 ) ) )
| ( c5
= ( g @ c3 @ X0 ) )
| ( c3
= ( g @ c3 @ X0 ) )
| ( c3
= ( g @ c4 @ X0 ) )
| ( c4
= ( g @ c3 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f631]) ).
thf(f631,plain,
! [X0: $i] :
( ( c4
= ( g @ c3 @ X0 ) )
| ( c2 != c2 )
| ( c3
= ( g @ c4 @ X0 ) )
| ( c3
= ( g @ c3 @ X0 ) )
| ( c4
= ( g @ c3 @ ( s @ X0 ) ) )
| ( c5
= ( g @ c3 @ X0 ) ) ),
inference(superposition,[status(thm)],[f9,f294]) ).
thf(f294,plain,
! [X0: $i] :
( ( c2
= ( g @ c3 @ X0 ) )
| ( c4
= ( g @ c3 @ X0 ) )
| ( c5
= ( g @ c3 @ X0 ) )
| ( c3
= ( g @ c4 @ X0 ) )
| ( c3
= ( g @ c3 @ X0 ) ) ),
inference(superposition,[status(thm)],[f112,f30]) ).
thf(f112,plain,
! [X0: $i,X1: $i] :
( ( ( g @ ( s @ X0 ) @ X1 )
= c3 )
| ( ( g @ X0 @ X1 )
= c5 )
| ( ( g @ X0 @ X1 )
= c3 )
| ( ( g @ X0 @ X1 )
= c4 )
| ( ( g @ X0 @ X1 )
= c2 ) ),
inference(trivial_inequality_removal,[status(thm)],[f100]) ).
thf(f100,plain,
! [X0: $i,X1: $i] :
( ( c1 != c1 )
| ( ( g @ X0 @ X1 )
= c5 )
| ( ( g @ X0 @ X1 )
= c2 )
| ( ( g @ X0 @ X1 )
= c3 )
| ( ( g @ ( s @ X0 ) @ X1 )
= c3 )
| ( ( g @ X0 @ X1 )
= c4 ) ),
inference(superposition,[status(thm)],[f28,f12]) ).
thf(f12,plain,
! [X8: $i,X7: $i] :
( ( c1
= ( g @ X8 @ X7 ) )
| ( c3
= ( g @ X8 @ X7 ) )
| ( c5
= ( g @ X8 @ X7 ) )
| ( c2
= ( g @ X8 @ X7 ) )
| ( c4
= ( g @ X8 @ X7 ) ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( c1
!= ( g @ X1 @ X0 ) )
| ( c3
= ( g @ ( s @ X1 ) @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f9,plain,
! [X10: $i,X9: $i] :
( ( c2
!= ( g @ X9 @ X10 ) )
| ( c4
= ( g @ X9 @ ( s @ X10 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f29773,plain,
( spl0_137
| spl0_211
| spl0_123
| spl0_145
| spl0_204 ),
inference(avatar_split_clause,[status(thm)],[f12929,f4742,f2628,f2480,f5437,f2565]) ).
thf(f2565,definition,
( spl0_137
<=> ( c3
= ( g @ c4 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_137])],[avatar_definition]) ).
thf(f5437,definition,
( spl0_211
<=> ( c4
= ( g @ c3 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_211])],[avatar_definition]) ).
thf(f2480,definition,
( spl0_123
<=> ( c3
= ( g @ c3 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_123])],[avatar_definition]) ).
thf(f2628,definition,
( spl0_145
<=> ( c5
= ( g @ c3 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_145])],[avatar_definition]) ).
thf(f4742,definition,
( spl0_204
<=> ( c4
= ( g @ c3 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_204])],[avatar_definition]) ).
thf(f12929,plain,
( ( c3
= ( g @ c4 @ c2 ) )
| ( c4
= ( g @ c3 @ c2 ) )
| ( c4
= ( g @ c3 @ c3 ) )
| ( c3
= ( g @ c3 @ c2 ) )
| ( c5
= ( g @ c3 @ c2 ) ) ),
inference(superposition,[status(thm)],[f650,f13]) ).
thf(f13,plain,
( c3
= ( s @ c2 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f29764,plain,
( spl0_55
| spl0_57
| spl0_56
| spl0_53 ),
inference(avatar_split_clause,[status(thm)],[f29763,f609,f656,f660,f652]) ).
thf(f652,definition,
( spl0_55
<=> ( c4
= ( g @ c3 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_55])],[avatar_definition]) ).
thf(f660,definition,
( spl0_57
<=> ( c3
= ( g @ c3 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_57])],[avatar_definition]) ).
thf(f656,definition,
( spl0_56
<=> ( c5
= ( g @ c3 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_56])],[avatar_definition]) ).
thf(f609,definition,
( spl0_53
<=> ( c3
= ( g @ c4 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_53])],[avatar_definition]) ).
thf(f29763,plain,
( ( c3
= ( g @ c3 @ c8 ) )
| ( c4
= ( g @ c3 @ c8 ) )
| ( c5
= ( g @ c3 @ c8 ) )
| ( c3
= ( g @ c4 @ c8 ) ) ),
inference(subsumption_resolution,[status(thm)],[f12931,f16]) ).
thf(f16,plain,
! [X5: $i] :
( c4
!= ( g @ X5 @ c1 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f12931,plain,
( ( c3
= ( g @ c4 @ c8 ) )
| ( c5
= ( g @ c3 @ c8 ) )
| ( c4
= ( g @ c3 @ c8 ) )
| ( c3
= ( g @ c3 @ c8 ) )
| ( c4
= ( g @ c3 @ c1 ) ) ),
inference(superposition,[status(thm)],[f650,f27]) ).
thf(f27,plain,
( ( s @ c8 )
= c1 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f29706,plain,
( spl0_18
| spl0_237
| spl0_261
| spl0_133
| spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f28332,f2533,f2537,f10938,f9214,f232]) ).
thf(f232,definition,
( spl0_18
<=> ( c3
= ( g @ c8 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition]) ).
thf(f9214,definition,
( spl0_237
<=> ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_237])],[avatar_definition]) ).
thf(f10938,definition,
( spl0_261
<=> ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_261])],[avatar_definition]) ).
thf(f2537,definition,
( spl0_133
<=> ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_133])],[avatar_definition]) ).
thf(f2533,definition,
( spl0_132
<=> ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_132])],[avatar_definition]) ).
thf(f28332,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ c8 @ c2 ) )
| spl0_132 ),
inference(subsumption_resolution,[status(thm)],[f16096,f2534]) ).
thf(f2534,plain,
( ( c5
!= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_132 ),
inference(avatar_component_clause,[status(thm)],[f2533]) ).
thf(f16096,plain,
( ( c3
= ( g @ c8 @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) ) ),
inference(superposition,[status(thm)],[f939,f13]) ).
thf(f939,plain,
! [X0: $i] :
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ X0 ) ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c3
= ( g @ c8 @ X0 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f920]) ).
thf(f920,plain,
! [X0: $i] :
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c3
= ( g @ c8 @ X0 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ X0 ) ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c2 != c2 ) ),
inference(superposition,[status(thm)],[f9,f298]) ).
thf(f298,plain,
! [X0: $i] :
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c3
= ( g @ c8 @ X0 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) ) ),
inference(superposition,[status(thm)],[f112,f79]) ).
thf(f79,plain,
( c8
= ( s @ ( s @ ( s @ c5 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f78,f11]) ).
thf(f78,plain,
( c8
= ( s @ ( s @ ( s @ ( s @ c4 ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f77,f30]) ).
thf(f77,plain,
( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ c3 ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f76,f13]) ).
thf(f76,plain,
( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c2 ) ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f75,f25]) ).
thf(f75,plain,
( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c1 ) ) ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f26,f27]) ).
thf(f26,plain,
( c8
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f29693,plain,
( spl0_57
| spl0_55
| spl0_56
| spl0_89 ),
inference(avatar_split_clause,[status(thm)],[f26506,f1466,f656,f652,f660]) ).
thf(f1466,definition,
( spl0_89
<=> ( c1
= ( g @ c3 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_89])],[avatar_definition]) ).
thf(f26506,plain,
( ( c5
= ( g @ c3 @ c8 ) )
| ( c4
= ( g @ c3 @ c8 ) )
| ( c3
= ( g @ c3 @ c8 ) )
| spl0_89 ),
inference(subsumption_resolution,[status(thm)],[f26505,f15]) ).
thf(f15,plain,
! [X5: $i] :
( c2
!= ( g @ X5 @ c8 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f26505,plain,
( ( c2
= ( g @ c3 @ c8 ) )
| ( c5
= ( g @ c3 @ c8 ) )
| ( c3
= ( g @ c3 @ c8 ) )
| ( c4
= ( g @ c3 @ c8 ) )
| spl0_89 ),
inference(trivial_inequality_removal,[status(thm)],[f26504]) ).
thf(f26504,plain,
( ( c2
= ( g @ c3 @ c8 ) )
| ( c5
= ( g @ c3 @ c8 ) )
| ( c3
= ( g @ c3 @ c8 ) )
| ( c4
= ( g @ c3 @ c8 ) )
| ( c1 != c1 )
| spl0_89 ),
inference(superposition,[status(thm)],[f1467,f12]) ).
thf(f1467,plain,
( ( c1
!= ( g @ c3 @ c8 ) )
| spl0_89 ),
inference(avatar_component_clause,[status(thm)],[f1466]) ).
thf(f29655,plain,
( spl0_31
| ~ spl0_24 ),
inference(avatar_split_clause,[status(thm)],[f29654,f261,f319]) ).
thf(f319,definition,
( spl0_31
<=> ( c3 = c4 ) ),
introduced(definition,[new_symbols(naming,[spl0_31])],[avatar_definition]) ).
thf(f261,definition,
( spl0_24
<=> ( c3 = c2 ) ),
introduced(definition,[new_symbols(naming,[spl0_24])],[avatar_definition]) ).
thf(f29654,plain,
( ( c3 = c4 )
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f29620,f30]) ).
thf(f29620,plain,
( ( c3
= ( s @ c3 ) )
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f13,f262]) ).
thf(f262,plain,
( ( c3 = c2 )
| ~ spl0_24 ),
inference(avatar_component_clause,[status(thm)],[f261]) ).
thf(f29611,plain,
( spl0_142
| spl0_265
| spl0_94
| spl0_141 ),
inference(avatar_split_clause,[status(thm)],[f12397,f2604,f1831,f11061,f2608]) ).
thf(f2608,definition,
( spl0_142
<=> ( c3
= ( g @ c2 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_142])],[avatar_definition]) ).
thf(f11061,definition,
( spl0_265
<=> ( c4
= ( g @ c1 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_265])],[avatar_definition]) ).
thf(f1831,definition,
( spl0_94
<=> ( c4
= ( g @ c1 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_94])],[avatar_definition]) ).
thf(f2604,definition,
( spl0_141
<=> ( c5
= ( g @ c1 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_141])],[avatar_definition]) ).
thf(f12397,plain,
( ( c3
= ( g @ c2 @ c4 ) )
| ( c4
= ( g @ c1 @ c4 ) )
| ( c4
= ( g @ c1 @ c5 ) )
| spl0_141 ),
inference(subsumption_resolution,[status(thm)],[f12350,f2605]) ).
thf(f2605,plain,
( ( c5
!= ( g @ c1 @ c4 ) )
| spl0_141 ),
inference(avatar_component_clause,[status(thm)],[f2604]) ).
thf(f12350,plain,
( ( c5
= ( g @ c1 @ c4 ) )
| ( c4
= ( g @ c1 @ c4 ) )
| ( c3
= ( g @ c2 @ c4 ) )
| ( c4
= ( g @ c1 @ c5 ) ) ),
inference(superposition,[status(thm)],[f376,f11]) ).
thf(f376,plain,
! [X0: $i] :
( ( c4
= ( g @ c1 @ ( s @ X0 ) ) )
| ( c4
= ( g @ c1 @ X0 ) )
| ( c5
= ( g @ c1 @ X0 ) )
| ( c3
= ( g @ c2 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f358]) ).
thf(f358,plain,
! [X0: $i] :
( ( c5
= ( g @ c1 @ X0 ) )
| ( c4
= ( g @ c1 @ ( s @ X0 ) ) )
| ( c4
= ( g @ c1 @ X0 ) )
| ( c3
= ( g @ c2 @ X0 ) )
| ( c2 != c2 ) ),
inference(superposition,[status(thm)],[f9,f346]) ).
thf(f346,plain,
! [X0: $i] :
( ( c2
= ( g @ c1 @ X0 ) )
| ( c5
= ( g @ c1 @ X0 ) )
| ( c3
= ( g @ c2 @ X0 ) )
| ( c4
= ( g @ c1 @ X0 ) ) ),
inference(subsumption_resolution,[status(thm)],[f296,f17]) ).
thf(f17,plain,
! [X6: $i] :
( c3
!= ( g @ c1 @ X6 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f296,plain,
! [X0: $i] :
( ( c2
= ( g @ c1 @ X0 ) )
| ( c3
= ( g @ c2 @ X0 ) )
| ( c5
= ( g @ c1 @ X0 ) )
| ( c4
= ( g @ c1 @ X0 ) )
| ( c3
= ( g @ c1 @ X0 ) ) ),
inference(superposition,[status(thm)],[f112,f25]) ).
thf(f29601,plain,
( spl0_66
| spl0_67
| spl0_68 ),
inference(avatar_split_clause,[status(thm)],[f29600,f951,f947,f943]) ).
thf(f943,definition,
( spl0_66
<=> ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_66])],[avatar_definition]) ).
thf(f947,definition,
( spl0_67
<=> ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_67])],[avatar_definition]) ).
thf(f951,definition,
( spl0_68
<=> ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_68])],[avatar_definition]) ).
thf(f29600,plain,
( ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) ) ),
inference(subsumption_resolution,[status(thm)],[f29599,f38]) ).
thf(f38,plain,
c5 != c3,
inference(superposition,[status(thm)],[f17,f34]) ).
thf(f34,plain,
( c5
= ( g @ c1 @ c1 ) ),
inference(equality_resolution,[status(thm)],[f33]) ).
thf(f33,plain,
! [X3: $i] :
( ( c5
= ( g @ c1 @ X3 ) )
| ( c1 != X3 ) ),
inference(equality_resolution,[status(thm)],[f18]) ).
thf(f18,plain,
! [X3: $i,X4: $i] :
( ( c5
= ( g @ X4 @ X3 ) )
| ( c1 != X4 )
| ( c1 != X3 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f29599,plain,
( ( c5 = c3 )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) ) ),
inference(forward_demodulation,[status(thm)],[f29598,f32]) ).
thf(f32,plain,
( c5
= ( g @ c8 @ c8 ) ),
inference(equality_resolution,[status(thm)],[f31]) ).
thf(f31,plain,
! [X3: $i] :
( ( c5
= ( g @ c8 @ X3 ) )
| ( c8 != X3 ) ),
inference(equality_resolution,[status(thm)],[f19]) ).
thf(f19,plain,
! [X3: $i,X4: $i] :
( ( c5
= ( g @ X4 @ X3 ) )
| ( c8 != X4 )
| ( c8 != X3 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f29598,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c3
= ( g @ c8 @ c8 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) ) ),
inference(subsumption_resolution,[status(thm)],[f16098,f16]) ).
thf(f16098,plain,
( ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c3
= ( g @ c8 @ c8 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c1 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) ) ),
inference(superposition,[status(thm)],[f939,f27]) ).
thf(f29583,plain,
( spl0_270
| spl0_147
| spl0_179
| spl0_180 ),
inference(avatar_split_clause,[status(thm)],[f29582,f2883,f2879,f2640,f11984]) ).
thf(f11984,definition,
( spl0_270
<=> ( c4
= ( g @ c2 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_270])],[avatar_definition]) ).
thf(f2640,definition,
( spl0_147
<=> ( c3
= ( g @ c3 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_147])],[avatar_definition]) ).
thf(f2879,definition,
( spl0_179
<=> ( c5
= ( g @ c2 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_179])],[avatar_definition]) ).
thf(f2883,definition,
( spl0_180
<=> ( c3
= ( g @ c2 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_180])],[avatar_definition]) ).
thf(f29582,plain,
( ( c4
= ( g @ c2 @ c2 ) )
| ( c3
= ( g @ c3 @ c1 ) )
| ( c5
= ( g @ c2 @ c1 ) )
| ( c3
= ( g @ c2 @ c1 ) ) ),
inference(subsumption_resolution,[status(thm)],[f12584,f16]) ).
thf(f12584,plain,
( ( c5
= ( g @ c2 @ c1 ) )
| ( c3
= ( g @ c3 @ c1 ) )
| ( c3
= ( g @ c2 @ c1 ) )
| ( c4
= ( g @ c2 @ c2 ) )
| ( c4
= ( g @ c2 @ c1 ) ) ),
inference(superposition,[status(thm)],[f701,f25]) ).
thf(f701,plain,
! [X0: $i] :
( ( c4
= ( g @ c2 @ ( s @ X0 ) ) )
| ( c3
= ( g @ c3 @ X0 ) )
| ( c5
= ( g @ c2 @ X0 ) )
| ( c4
= ( g @ c2 @ X0 ) )
| ( c3
= ( g @ c2 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f681]) ).
thf(f681,plain,
! [X0: $i] :
( ( c4
= ( g @ c2 @ X0 ) )
| ( c3
= ( g @ c2 @ X0 ) )
| ( c3
= ( g @ c3 @ X0 ) )
| ( c4
= ( g @ c2 @ ( s @ X0 ) ) )
| ( c2 != c2 )
| ( c5
= ( g @ c2 @ X0 ) ) ),
inference(superposition,[status(thm)],[f9,f295]) ).
thf(f295,plain,
! [X0: $i] :
( ( c2
= ( g @ c2 @ X0 ) )
| ( c5
= ( g @ c2 @ X0 ) )
| ( c3
= ( g @ c2 @ X0 ) )
| ( c3
= ( g @ c3 @ X0 ) )
| ( c4
= ( g @ c2 @ X0 ) ) ),
inference(superposition,[status(thm)],[f112,f13]) ).
thf(f29553,plain,
( spl0_156
| spl0_177
| spl0_209
| spl0_162
| spl0_176 ),
inference(avatar_split_clause,[status(thm)],[f28639,f2865,f2754,f5040,f2869,f2702]) ).
thf(f2702,definition,
( spl0_156
<=> ( c3
= ( g @ c4 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_156])],[avatar_definition]) ).
thf(f2869,definition,
( spl0_177
<=> ( c3
= ( g @ c5 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_177])],[avatar_definition]) ).
thf(f5040,definition,
( spl0_209
<=> ( c4
= ( g @ c4 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_209])],[avatar_definition]) ).
thf(f2754,definition,
( spl0_162
<=> ( c2
= ( g @ c4 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_162])],[avatar_definition]) ).
thf(f2865,definition,
( spl0_176
<=> ( c5
= ( g @ c4 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_176])],[avatar_definition]) ).
thf(f28639,plain,
( ( c3
= ( g @ c4 @ c3 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| spl0_162
| spl0_176 ),
inference(subsumption_resolution,[status(thm)],[f28638,f2866]) ).
thf(f2866,plain,
( ( c5
!= ( g @ c4 @ c3 ) )
| spl0_176 ),
inference(avatar_component_clause,[status(thm)],[f2865]) ).
thf(f28638,plain,
( ( c5
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| ( c3
= ( g @ c4 @ c3 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| spl0_162 ),
inference(trivial_inequality_removal,[status(thm)],[f28636]) ).
thf(f28636,plain,
( ( c2 != c2 )
| ( c3
= ( g @ c5 @ c3 ) )
| ( c5
= ( g @ c4 @ c3 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c4 @ c3 ) )
| spl0_162 ),
inference(superposition,[status(thm)],[f2755,f293]) ).
thf(f293,plain,
! [X0: $i] :
( ( c2
= ( g @ c4 @ X0 ) )
| ( c4
= ( g @ c4 @ X0 ) )
| ( c3
= ( g @ c5 @ X0 ) )
| ( c3
= ( g @ c4 @ X0 ) )
| ( c5
= ( g @ c4 @ X0 ) ) ),
inference(superposition,[status(thm)],[f112,f11]) ).
thf(f2755,plain,
( ( c2
!= ( g @ c4 @ c3 ) )
| spl0_162 ),
inference(avatar_component_clause,[status(thm)],[f2754]) ).
thf(f29528,plain,
( spl0_45
| spl0_46
| spl0_47 ),
inference(avatar_split_clause,[status(thm)],[f29527,f449,f445,f441]) ).
thf(f441,definition,
( spl0_45
<=> ( c5
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_45])],[avatar_definition]) ).
thf(f445,definition,
( spl0_46
<=> ( c4
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_46])],[avatar_definition]) ).
thf(f449,definition,
( spl0_47
<=> ( c3
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_47])],[avatar_definition]) ).
thf(f29527,plain,
( ( c3
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) ) ),
inference(subsumption_resolution,[status(thm)],[f29526,f37]) ).
thf(f37,plain,
c5 != c4,
inference(superposition,[status(thm)],[f16,f34]) ).
thf(f29526,plain,
( ( c4
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) )
| ( c5 = c4 ) ),
inference(forward_demodulation,[status(thm)],[f9160,f32]) ).
thf(f9160,plain,
( ( c3
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c8 @ c8 ) )
| ( c4
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) ) ),
inference(superposition,[status(thm)],[f203,f79]) ).
thf(f203,plain,
! [X0: $i] :
( ( c4
= ( g @ c8 @ ( s @ X0 ) ) )
| ( c5
= ( g @ c8 @ X0 ) )
| ( c4
= ( g @ c8 @ X0 ) )
| ( c3
= ( g @ c8 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f183]) ).
thf(f183,plain,
! [X0: $i] :
( ( c5
= ( g @ c8 @ X0 ) )
| ( c3
= ( g @ c8 @ X0 ) )
| ( c4
= ( g @ c8 @ ( s @ X0 ) ) )
| ( c4
= ( g @ c8 @ X0 ) )
| ( c2 != c2 ) ),
inference(superposition,[status(thm)],[f9,f113]) ).
thf(f113,plain,
! [X0: $i] :
( ( c2
= ( g @ c8 @ X0 ) )
| ( c4
= ( g @ c8 @ X0 ) )
| ( c3
= ( g @ c8 @ X0 ) )
| ( c5
= ( g @ c8 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f93]) ).
thf(f93,plain,
! [X0: $i] :
( ( c3
= ( g @ c8 @ X0 ) )
| ( c1 != c1 )
| ( c4
= ( g @ c8 @ X0 ) )
| ( c2
= ( g @ c8 @ X0 ) )
| ( c5
= ( g @ c8 @ X0 ) ) ),
inference(superposition,[status(thm)],[f14,f12]) ).
thf(f14,plain,
! [X6: $i] :
( c1
!= ( g @ c8 @ X6 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f29521,plain,
( spl0_124
| spl0_207
| spl0_175
| spl0_208 ),
inference(avatar_split_clause,[status(thm)],[f13060,f4918,f2845,f4897,f2484]) ).
thf(f2484,definition,
( spl0_124
<=> ( c3
= ( g @ c2 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_124])],[avatar_definition]) ).
thf(f4897,definition,
( spl0_207
<=> ( c4
= ( g @ c1 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_207])],[avatar_definition]) ).
thf(f2845,definition,
( spl0_175
<=> ( c5
= ( g @ c1 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_175])],[avatar_definition]) ).
thf(f4918,definition,
( spl0_208
<=> ( c4
= ( g @ c1 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_208])],[avatar_definition]) ).
thf(f13060,plain,
( ( c5
= ( g @ c1 @ c2 ) )
| ( c4
= ( g @ c1 @ c3 ) )
| ( c3
= ( g @ c2 @ c2 ) )
| spl0_208 ),
inference(subsumption_resolution,[status(thm)],[f12352,f4919]) ).
thf(f4919,plain,
( ( c4
!= ( g @ c1 @ c2 ) )
| spl0_208 ),
inference(avatar_component_clause,[status(thm)],[f4918]) ).
thf(f12352,plain,
( ( c4
= ( g @ c1 @ c2 ) )
| ( c4
= ( g @ c1 @ c3 ) )
| ( c5
= ( g @ c1 @ c2 ) )
| ( c3
= ( g @ c2 @ c2 ) ) ),
inference(superposition,[status(thm)],[f376,f13]) ).
thf(f29466,plain,
( spl0_22
| spl0_266
| spl0_152
| spl0_238
| spl0_151 ),
inference(avatar_split_clause,[status(thm)],[f15035,f2677,f9225,f2681,f11102,f251]) ).
thf(f251,definition,
( spl0_22
<=> ( c3
= ( g @ c8 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_22])],[avatar_definition]) ).
thf(f11102,definition,
( spl0_266
<=> ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_266])],[avatar_definition]) ).
thf(f2681,definition,
( spl0_152
<=> ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_152])],[avatar_definition]) ).
thf(f9225,definition,
( spl0_238
<=> ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_238])],[avatar_definition]) ).
thf(f2677,definition,
( spl0_151
<=> ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_151])],[avatar_definition]) ).
thf(f15035,plain,
( ( c3
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_151 ),
inference(subsumption_resolution,[status(thm)],[f13861,f2678]) ).
thf(f2678,plain,
( ( c5
!= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_151 ),
inference(avatar_component_clause,[status(thm)],[f2677]) ).
thf(f13861,plain,
( ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) ) ),
inference(superposition,[status(thm)],[f939,f11]) ).
thf(f29292,plain,
( spl0_265
| spl0_31
| spl0_94
| spl0_141
| ~ spl0_263 ),
inference(avatar_split_clause,[status(thm)],[f28360,f11045,f2604,f1831,f319,f11061]) ).
thf(f11045,definition,
( spl0_263
<=> ( c4
= ( g @ c2 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_263])],[avatar_definition]) ).
thf(f28360,plain,
( ( c3 = c4 )
| ( c4
= ( g @ c1 @ c5 ) )
| ( c4
= ( g @ c1 @ c4 ) )
| spl0_141
| ~ spl0_263 ),
inference(forward_demodulation,[status(thm)],[f12397,f11047]) ).
thf(f11047,plain,
( ( c4
= ( g @ c2 @ c4 ) )
| ~ spl0_263 ),
inference(avatar_component_clause,[status(thm)],[f11045]) ).
thf(f29257,plain,
~ spl0_31,
inference(avatar_contradiction_clause,[status(thm)],[f29256]) ).
thf(f29256,plain,
( $false
| ~ spl0_31 ),
inference(subsumption_resolution,[status(thm)],[f29255,f37]) ).
thf(f29255,plain,
( ( c5 = c4 )
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f29154,f11]) ).
thf(f29154,plain,
( ( c4
= ( s @ c4 ) )
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f30,f320]) ).
thf(f320,plain,
( ( c3 = c4 )
| ~ spl0_31 ),
inference(avatar_component_clause,[status(thm)],[f319]) ).
thf(f29101,plain,
( spl0_148
| spl0_259
| spl0_170
| spl0_171 ),
inference(avatar_split_clause,[status(thm)],[f22839,f2806,f2802,f10746,f2644]) ).
thf(f2644,definition,
( spl0_148
<=> ( c3
= ( g @ c4 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_148])],[avatar_definition]) ).
thf(f10746,definition,
( spl0_259
<=> ( c4
= ( g @ c4 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_259])],[avatar_definition]) ).
thf(f2802,definition,
( spl0_170
<=> ( c3
= ( g @ c5 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_170])],[avatar_definition]) ).
thf(f2806,definition,
( spl0_171
<=> ( c5
= ( g @ c4 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_171])],[avatar_definition]) ).
thf(f22839,plain,
( ( c3
= ( g @ c4 @ c1 ) )
| ( c4
= ( g @ c4 @ c2 ) )
| ( c3
= ( g @ c5 @ c1 ) )
| spl0_171 ),
inference(subsumption_resolution,[status(thm)],[f12807,f2807]) ).
thf(f2807,plain,
( ( c5
!= ( g @ c4 @ c1 ) )
| spl0_171 ),
inference(avatar_component_clause,[status(thm)],[f2806]) ).
thf(f12807,plain,
( ( c4
= ( g @ c4 @ c2 ) )
| ( c3
= ( g @ c4 @ c1 ) )
| ( c5
= ( g @ c4 @ c1 ) )
| ( c3
= ( g @ c5 @ c1 ) ) ),
inference(subsumption_resolution,[status(thm)],[f12527,f16]) ).
thf(f12527,plain,
( ( c5
= ( g @ c4 @ c1 ) )
| ( c4
= ( g @ c4 @ c1 ) )
| ( c3
= ( g @ c5 @ c1 ) )
| ( c3
= ( g @ c4 @ c1 ) )
| ( c4
= ( g @ c4 @ c2 ) ) ),
inference(superposition,[status(thm)],[f599,f25]) ).
thf(f599,plain,
! [X0: $i] :
( ( c4
= ( g @ c4 @ ( s @ X0 ) ) )
| ( c3
= ( g @ c5 @ X0 ) )
| ( c5
= ( g @ c4 @ X0 ) )
| ( c3
= ( g @ c4 @ X0 ) )
| ( c4
= ( g @ c4 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f580]) ).
thf(f580,plain,
! [X0: $i] :
( ( c3
= ( g @ c4 @ X0 ) )
| ( c3
= ( g @ c5 @ X0 ) )
| ( c5
= ( g @ c4 @ X0 ) )
| ( c2 != c2 )
| ( c4
= ( g @ c4 @ ( s @ X0 ) ) )
| ( c4
= ( g @ c4 @ X0 ) ) ),
inference(superposition,[status(thm)],[f9,f293]) ).
thf(f29082,plain,
( spl0_170
| spl0_148
| spl0_135
| spl0_171 ),
inference(avatar_split_clause,[status(thm)],[f28558,f2806,f2557,f2644,f2802]) ).
thf(f2557,definition,
( spl0_135
<=> ( c2
= ( g @ c4 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_135])],[avatar_definition]) ).
thf(f28558,plain,
( ( c3
= ( g @ c4 @ c1 ) )
| ( c3
= ( g @ c5 @ c1 ) )
| spl0_135
| spl0_171 ),
inference(subsumption_resolution,[status(thm)],[f28557,f16]) ).
thf(f28557,plain,
( ( c4
= ( g @ c4 @ c1 ) )
| ( c3
= ( g @ c5 @ c1 ) )
| ( c3
= ( g @ c4 @ c1 ) )
| spl0_135
| spl0_171 ),
inference(subsumption_resolution,[status(thm)],[f28556,f2807]) ).
thf(f28556,plain,
( ( c3
= ( g @ c5 @ c1 ) )
| ( c5
= ( g @ c4 @ c1 ) )
| ( c3
= ( g @ c4 @ c1 ) )
| ( c4
= ( g @ c4 @ c1 ) )
| spl0_135 ),
inference(trivial_inequality_removal,[status(thm)],[f28554]) ).
thf(f28554,plain,
( ( c2 != c2 )
| ( c4
= ( g @ c4 @ c1 ) )
| ( c5
= ( g @ c4 @ c1 ) )
| ( c3
= ( g @ c4 @ c1 ) )
| ( c3
= ( g @ c5 @ c1 ) )
| spl0_135 ),
inference(superposition,[status(thm)],[f2558,f293]) ).
thf(f2558,plain,
( ( c2
!= ( g @ c4 @ c1 ) )
| spl0_135 ),
inference(avatar_component_clause,[status(thm)],[f2557]) ).
thf(f29072,plain,
( spl0_31
| ~ spl0_142
| ~ spl0_263 ),
inference(avatar_split_clause,[status(thm)],[f29071,f11045,f2608,f319]) ).
thf(f29071,plain,
( ( c3 = c4 )
| ~ spl0_142
| ~ spl0_263 ),
inference(forward_demodulation,[status(thm)],[f2610,f11047]) ).
thf(f2610,plain,
( ( c3
= ( g @ c2 @ c4 ) )
| ~ spl0_142 ),
inference(avatar_component_clause,[status(thm)],[f2608]) ).
thf(f29028,plain,
( spl0_31
| ~ spl0_90
| ~ spl0_91 ),
inference(avatar_split_clause,[status(thm)],[f29027,f1818,f1814,f319]) ).
thf(f1814,definition,
( spl0_90
<=> ( c3
= ( g @ c3 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_90])],[avatar_definition]) ).
thf(f29027,plain,
( ( c3 = c4 )
| ~ spl0_90
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f1816,f1820]) ).
thf(f1820,plain,
( ( c4
= ( g @ c3 @ c5 ) )
| ~ spl0_91 ),
inference(avatar_component_clause,[status(thm)],[f1818]) ).
thf(f1816,plain,
( ( c3
= ( g @ c3 @ c5 ) )
| ~ spl0_90 ),
inference(avatar_component_clause,[status(thm)],[f1814]) ).
thf(f28990,plain,
( spl0_9
| ~ spl0_136
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[status(thm)],[f28989]) ).
thf(f28989,plain,
( $false
| spl0_9
| ~ spl0_136
| ~ spl0_178 ),
inference(subsumption_resolution,[status(thm)],[f28988,f154]) ).
thf(f154,plain,
( ( c1 != c2 )
| spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f152]) ).
thf(f152,definition,
( spl0_9
<=> ( c1 = c2 ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f28988,plain,
( ( c1 = c2 )
| ~ spl0_136
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f28574,f2875]) ).
thf(f2875,plain,
( ( c2
= ( g @ c4 @ c2 ) )
| ~ spl0_178 ),
inference(avatar_component_clause,[status(thm)],[f2873]) ).
thf(f2873,definition,
( spl0_178
<=> ( c2
= ( g @ c4 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_178])],[avatar_definition]) ).
thf(f28574,plain,
( ( c1
= ( g @ c4 @ c2 ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[status(thm)],[f28566]) ).
thf(f28566,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c4 @ c2 ) )
| ~ spl0_136 ),
inference(superposition,[status(thm)],[f70,f2563]) ).
thf(f2563,plain,
( ( c3
= ( g @ c5 @ c2 ) )
| ~ spl0_136 ),
inference(avatar_component_clause,[status(thm)],[f2561]) ).
thf(f2561,definition,
( spl0_136
<=> ( c3
= ( g @ c5 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_136])],[avatar_definition]) ).
thf(f70,plain,
! [X0: $i] :
( ( c3
!= ( g @ c5 @ X0 ) )
| ( c1
= ( g @ c4 @ X0 ) ) ),
inference(superposition,[status(thm)],[f29,f11]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( c3
!= ( g @ ( s @ X1 ) @ X0 ) )
| ( c1
= ( g @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f28913,plain,
( spl0_108
| spl0_238
| spl0_110
| spl0_109
| spl0_31
| ~ spl0_42
| spl0_111
| spl0_151
| spl0_152 ),
inference(avatar_split_clause,[status(thm)],[f28912,f2681,f2677,f2416,f424,f319,f2408,f2412,f9225,f2404]) ).
thf(f2404,definition,
( spl0_108
<=> ( c2
= ( g @ ( s @ c5 ) @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_108])],[avatar_definition]) ).
thf(f2412,definition,
( spl0_110
<=> ( c4
= ( g @ ( s @ c5 ) @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_110])],[avatar_definition]) ).
thf(f2408,definition,
( spl0_109
<=> ( c3
= ( g @ ( s @ c5 ) @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_109])],[avatar_definition]) ).
thf(f424,definition,
( spl0_42
<=> ( c4
= ( g @ c8 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_42])],[avatar_definition]) ).
thf(f2416,definition,
( spl0_111
<=> ( c5
= ( g @ ( s @ c5 ) @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_111])],[avatar_definition]) ).
thf(f28912,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_31
| ~ spl0_42
| spl0_111
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f28911,f2417]) ).
thf(f2417,plain,
( ( c5
!= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_111 ),
inference(avatar_component_clause,[status(thm)],[f2416]) ).
thf(f28911,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c5
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_31
| ~ spl0_42
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f28910,f11]) ).
thf(f28910,plain,
( ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_31
| ~ spl0_42
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f28909,f321]) ).
thf(f321,plain,
( ( c3 != c4 )
| spl0_31 ),
inference(avatar_component_clause,[status(thm)],[f319]) ).
thf(f28909,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3 = c4 )
| spl0_31
| ~ spl0_42
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f28908,f426]) ).
thf(f426,plain,
( ( c4
= ( g @ c8 @ c4 ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[status(thm)],[f424]) ).
thf(f28908,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_31
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f28907,f11]) ).
thf(f28907,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_31
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f28906,f11]) ).
thf(f28906,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_31
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f28905,f11]) ).
thf(f28905,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_31
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f28900,f2678]) ).
thf(f28900,plain,
( ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_31
| spl0_152 ),
inference(trivial_inequality_removal,[status(thm)],[f28896]) ).
thf(f28896,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3 != c3 )
| spl0_31
| spl0_152 ),
inference(superposition,[status(thm)],[f2682,f13899]) ).
thf(f13899,plain,
( ! [X0: $i] :
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c3
= ( g @ c8 @ X0 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ X0 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ X0 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ X0 ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ X0 ) ) ) )
| spl0_31 ),
inference(subsumption_resolution,[status(thm)],[f13875,f321]) ).
thf(f13875,plain,
! [X0: $i] :
( ( c3
= ( g @ c8 @ X0 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ X0 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ X0 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ X0 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ X0 ) ) )
| ( c3 = c4 ) ),
inference(superposition,[status(thm)],[f112,f939]) ).
thf(f2682,plain,
( ( c3
!= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_152 ),
inference(avatar_component_clause,[status(thm)],[f2681]) ).
thf(f28832,plain,
( spl0_266
| ~ spl0_117 ),
inference(avatar_split_clause,[status(thm)],[f28831,f2451,f11102]) ).
thf(f2451,definition,
( spl0_117
<=> ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_117])],[avatar_definition]) ).
thf(f28831,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f28830,f11]) ).
thf(f28830,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c4 ) ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[status(thm)],[f28823]) ).
thf(f28823,plain,
( ( c2 != c2 )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c4 ) ) )
| ~ spl0_117 ),
inference(superposition,[status(thm)],[f9,f2453]) ).
thf(f2453,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ~ spl0_117 ),
inference(avatar_component_clause,[status(thm)],[f2451]) ).
thf(f28635,plain,
( spl0_211
| ~ spl0_154 ),
inference(avatar_split_clause,[status(thm)],[f28634,f2694,f5437]) ).
thf(f2694,definition,
( spl0_154
<=> ( c2
= ( g @ c3 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_154])],[avatar_definition]) ).
thf(f28634,plain,
( ( c4
= ( g @ c3 @ c3 ) )
| ~ spl0_154 ),
inference(forward_demodulation,[status(thm)],[f28633,f13]) ).
thf(f28633,plain,
( ( c4
= ( g @ c3 @ ( s @ c2 ) ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[status(thm)],[f28626]) ).
thf(f28626,plain,
( ( c4
= ( g @ c3 @ ( s @ c2 ) ) )
| ( c2 != c2 )
| ~ spl0_154 ),
inference(superposition,[status(thm)],[f9,f2696]) ).
thf(f2696,plain,
( ( c2
= ( g @ c3 @ c2 ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[status(thm)],[f2694]) ).
thf(f28506,plain,
( spl0_174
| ~ spl0_101 ),
inference(avatar_split_clause,[status(thm)],[f28505,f1861,f2827]) ).
thf(f2827,definition,
( spl0_174
<=> ( c2
= ( g @ c4 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_174])],[avatar_definition]) ).
thf(f1861,definition,
( spl0_101
<=> ( c4
= ( g @ c4 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_101])],[avatar_definition]) ).
thf(f28505,plain,
( ( c2
= ( g @ c4 @ c4 ) )
| ~ spl0_101 ),
inference(trivial_inequality_removal,[status(thm)],[f28495]) ).
thf(f28495,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c4 @ c4 ) )
| ~ spl0_101 ),
inference(superposition,[status(thm)],[f63,f1863]) ).
thf(f1863,plain,
( ( c4
= ( g @ c4 @ c5 ) )
| ~ spl0_101 ),
inference(avatar_component_clause,[status(thm)],[f1861]) ).
thf(f63,plain,
! [X0: $i] :
( ( c4
!= ( g @ X0 @ c5 ) )
| ( c2
= ( g @ X0 @ c4 ) ) ),
inference(superposition,[status(thm)],[f10,f11]) ).
thf(f10,plain,
! [X10: $i,X9: $i] :
( ( c4
!= ( g @ X9 @ ( s @ X10 ) ) )
| ( c2
= ( g @ X9 @ X10 ) ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f28366,plain,
( spl0_277
| spl0_245
| spl0_54
| spl0_276
| spl0_275 ),
inference(avatar_split_clause,[status(thm)],[f20405,f12170,f12174,f613,f10343,f12178]) ).
thf(f12178,definition,
( spl0_277
<=> ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_277])],[avatar_definition]) ).
thf(f10343,definition,
( spl0_245
<=> ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_245])],[avatar_definition]) ).
thf(f613,definition,
( spl0_54
<=> ( c4
= ( g @ c4 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_54])],[avatar_definition]) ).
thf(f12174,definition,
( spl0_276
<=> ( c4
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_276])],[avatar_definition]) ).
thf(f12170,definition,
( spl0_275
<=> ( c5
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_275])],[avatar_definition]) ).
thf(f20405,plain,
( ( c4
= ( g @ c4 @ c8 ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_275 ),
inference(subsumption_resolution,[status(thm)],[f14232,f12171]) ).
thf(f12171,plain,
( ( c5
!= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_275 ),
inference(avatar_component_clause,[status(thm)],[f12170]) ).
thf(f14232,plain,
( ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ c8 ) )
| ( c5
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) ) ),
inference(superposition,[status(thm)],[f599,f79]) ).
thf(f28353,plain,
( spl0_213
| spl0_18
| spl0_261
| spl0_31
| spl0_132
| spl0_133
| spl0_214
| spl0_215
| spl0_216 ),
inference(avatar_split_clause,[status(thm)],[f28352,f7198,f7194,f7190,f2537,f2533,f319,f10938,f232,f7186]) ).
thf(f7186,definition,
( spl0_213
<=> ( c3
= ( g @ ( s @ c5 ) @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_213])],[avatar_definition]) ).
thf(f7190,definition,
( spl0_214
<=> ( c2
= ( g @ ( s @ c5 ) @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_214])],[avatar_definition]) ).
thf(f7194,definition,
( spl0_215
<=> ( c5
= ( g @ ( s @ c5 ) @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_215])],[avatar_definition]) ).
thf(f7198,definition,
( spl0_216
<=> ( c4
= ( g @ ( s @ c5 ) @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_216])],[avatar_definition]) ).
thf(f28352,plain,
( ( c3
= ( g @ c8 @ c2 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_31
| spl0_132
| spl0_133
| spl0_214
| spl0_215
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f28351,f13]) ).
thf(f28351,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ c8 @ c2 ) )
| spl0_31
| spl0_132
| spl0_133
| spl0_214
| spl0_215
| spl0_216 ),
inference(subsumption_resolution,[status(thm)],[f26882,f7199]) ).
thf(f7199,plain,
( ( c4
!= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_216 ),
inference(avatar_component_clause,[status(thm)],[f7198]) ).
thf(f26882,plain,
( ( c3
= ( g @ c8 @ c2 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| spl0_31
| spl0_132
| spl0_133
| spl0_214
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f26881,f7191]) ).
thf(f7191,plain,
( ( c2
!= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_214 ),
inference(avatar_component_clause,[status(thm)],[f7190]) ).
thf(f26881,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3
= ( g @ c8 @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_31
| spl0_132
| spl0_133
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f26880,f13]) ).
thf(f26880,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ c8 @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_31
| spl0_132
| spl0_133
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f26879,f13]) ).
thf(f26879,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ c8 @ c2 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| spl0_31
| spl0_132
| spl0_133
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f26878,f7195]) ).
thf(f7195,plain,
( ( c5
!= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_215 ),
inference(avatar_component_clause,[status(thm)],[f7194]) ).
thf(f26878,plain,
( ( c3
= ( g @ c8 @ c2 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_31
| spl0_132
| spl0_133 ),
inference(forward_demodulation,[status(thm)],[f26877,f13]) ).
thf(f26877,plain,
( ( c5
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ c8 @ c2 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_31
| spl0_132
| spl0_133 ),
inference(subsumption_resolution,[status(thm)],[f26872,f2534]) ).
thf(f26872,plain,
( ( c5
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ c8 @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_31
| spl0_133 ),
inference(trivial_inequality_removal,[status(thm)],[f26868]) ).
thf(f26868,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3 != c3 )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ c8 @ c2 ) )
| spl0_31
| spl0_133 ),
inference(superposition,[status(thm)],[f2538,f13899]) ).
thf(f2538,plain,
( ( c3
!= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_133 ),
inference(avatar_component_clause,[status(thm)],[f2537]) ).
thf(f28350,plain,
( spl0_3
| ~ spl0_54
| ~ spl0_88 ),
inference(avatar_contradiction_clause,[status(thm)],[f28349]) ).
thf(f28349,plain,
( $false
| spl0_3
| ~ spl0_54
| ~ spl0_88 ),
inference(subsumption_resolution,[status(thm)],[f28348,f125]) ).
thf(f125,plain,
( ( c1 != c4 )
| spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f123]) ).
thf(f123,definition,
( spl0_3
<=> ( c1 = c4 ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f28348,plain,
( ( c1 = c4 )
| ~ spl0_54
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f1463,f615]) ).
thf(f615,plain,
( ( c4
= ( g @ c4 @ c8 ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[status(thm)],[f613]) ).
thf(f1463,plain,
( ( c1
= ( g @ c4 @ c8 ) )
| ~ spl0_88 ),
inference(avatar_component_clause,[status(thm)],[f1461]) ).
thf(f1461,definition,
( spl0_88
<=> ( c1
= ( g @ c4 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_88])],[avatar_definition]) ).
thf(f28347,plain,
( spl0_93
| spl0_101
| spl0_99
| spl0_100
| spl0_289 ),
inference(avatar_split_clause,[status(thm)],[f28346,f14292,f1857,f1853,f1861,f1826]) ).
thf(f1826,definition,
( spl0_93
<=> ( c3
= ( g @ c4 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_93])],[avatar_definition]) ).
thf(f1853,definition,
( spl0_99
<=> ( c3
= ( g @ c5 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_99])],[avatar_definition]) ).
thf(f1857,definition,
( spl0_100
<=> ( c5
= ( g @ c4 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_100])],[avatar_definition]) ).
thf(f14292,definition,
( spl0_289
<=> ( c4
= ( g @ c4 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_289])],[avatar_definition]) ).
thf(f28346,plain,
( ( c4
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| spl0_99
| spl0_100
| spl0_289 ),
inference(subsumption_resolution,[status(thm)],[f28345,f1858]) ).
thf(f1858,plain,
( ( c5
!= ( g @ c4 @ c5 ) )
| spl0_100 ),
inference(avatar_component_clause,[status(thm)],[f1857]) ).
thf(f28345,plain,
( ( c5
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| ( c4
= ( g @ c4 @ c5 ) )
| spl0_99
| spl0_289 ),
inference(subsumption_resolution,[status(thm)],[f27174,f1854]) ).
thf(f1854,plain,
( ( c3
!= ( g @ c5 @ c5 ) )
| spl0_99 ),
inference(avatar_component_clause,[status(thm)],[f1853]) ).
thf(f27174,plain,
( ( c4
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c5 @ c5 ) )
| ( c5
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| spl0_289 ),
inference(trivial_inequality_removal,[status(thm)],[f27171]) ).
thf(f27171,plain,
( ( c4
= ( g @ c4 @ c5 ) )
| ( c5
= ( g @ c4 @ c5 ) )
| ( c4 != c4 )
| ( c3
= ( g @ c5 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| spl0_289 ),
inference(superposition,[status(thm)],[f14293,f599]) ).
thf(f14293,plain,
( ( c4
!= ( g @ c4 @ ( s @ c5 ) ) )
| spl0_289 ),
inference(avatar_component_clause,[status(thm)],[f14292]) ).
thf(f28344,plain,
( spl0_264
| spl0_119
| spl0_91
| spl0_120
| spl0_122 ),
inference(avatar_split_clause,[status(thm)],[f26437,f2474,f2466,f1818,f2462,f11055]) ).
thf(f26437,plain,
( ( c4
= ( g @ c3 @ c5 ) )
| ( c4
= ( g @ c3 @ c4 ) )
| ( c3
= ( g @ c4 @ c4 ) )
| spl0_120
| spl0_122 ),
inference(subsumption_resolution,[status(thm)],[f16734,f2475]) ).
thf(f2475,plain,
( ( c3
!= ( g @ c3 @ c4 ) )
| spl0_122 ),
inference(avatar_component_clause,[status(thm)],[f2474]) ).
thf(f28342,plain,
( spl0_93
| spl0_101
| spl0_31
| spl0_99
| spl0_100
| ~ spl0_291 ),
inference(avatar_split_clause,[status(thm)],[f28341,f14300,f1857,f1853,f319,f1861,f1826]) ).
thf(f14300,definition,
( spl0_291
<=> ( c3
= ( g @ c4 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_291])],[avatar_definition]) ).
thf(f28341,plain,
( ( c3
= ( g @ c4 @ c5 ) )
| ( c4
= ( g @ c4 @ c5 ) )
| spl0_31
| spl0_99
| spl0_100
| ~ spl0_291 ),
inference(subsumption_resolution,[status(thm)],[f28340,f321]) ).
thf(f28340,plain,
( ( c3
= ( g @ c4 @ c5 ) )
| ( c4
= ( g @ c4 @ c5 ) )
| ( c3 = c4 )
| spl0_99
| spl0_100
| ~ spl0_291 ),
inference(subsumption_resolution,[status(thm)],[f28339,f1854]) ).
thf(f28339,plain,
( ( c3
= ( g @ c5 @ c5 ) )
| ( c3 = c4 )
| ( c4
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| spl0_100
| ~ spl0_291 ),
inference(subsumption_resolution,[status(thm)],[f28265,f1858]) ).
thf(f28265,plain,
( ( c5
= ( g @ c4 @ c5 ) )
| ( c3 = c4 )
| ( c4
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c5 @ c5 ) )
| ~ spl0_291 ),
inference(superposition,[status(thm)],[f14302,f599]) ).
thf(f14302,plain,
( ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_291 ),
inference(avatar_component_clause,[status(thm)],[f14300]) ).
thf(f28338,plain,
( spl0_110
| spl0_108
| spl0_238
| spl0_109
| spl0_22
| spl0_31
| spl0_111
| spl0_151
| spl0_152 ),
inference(avatar_split_clause,[status(thm)],[f25889,f2681,f2677,f2416,f319,f251,f2408,f9225,f2404,f2412]) ).
thf(f25889,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_22
| spl0_31
| spl0_111
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f25888,f11]) ).
thf(f25888,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_22
| spl0_31
| spl0_111
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f25887,f11]) ).
thf(f25887,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_22
| spl0_31
| spl0_111
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f25886,f2417]) ).
thf(f25886,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_22
| spl0_31
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f25258,f11]) ).
thf(f25258,plain,
( ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_22
| spl0_31
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f25257,f11]) ).
thf(f25257,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_22
| spl0_31
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f25256,f2678]) ).
thf(f25256,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_22
| spl0_31
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f25250,f252]) ).
thf(f252,plain,
( ( c3
!= ( g @ c8 @ c4 ) )
| spl0_22 ),
inference(avatar_component_clause,[status(thm)],[f251]) ).
thf(f25250,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_31
| spl0_152 ),
inference(trivial_inequality_removal,[status(thm)],[f25246]) ).
thf(f25246,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3 != c3 )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_31
| spl0_152 ),
inference(superposition,[status(thm)],[f2682,f13899]) ).
thf(f28327,plain,
( spl0_101
| spl0_93
| spl0_99
| spl0_100
| spl0_210 ),
inference(avatar_split_clause,[status(thm)],[f28326,f5374,f1857,f1853,f1826,f1861]) ).
thf(f5374,definition,
( spl0_210
<=> ( c2
= ( g @ c4 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_210])],[avatar_definition]) ).
thf(f28326,plain,
( ( c4
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| spl0_99
| spl0_100
| spl0_210 ),
inference(subsumption_resolution,[status(thm)],[f28325,f1854]) ).
thf(f28325,plain,
( ( c3
= ( g @ c4 @ c5 ) )
| ( c4
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c5 @ c5 ) )
| spl0_100
| spl0_210 ),
inference(subsumption_resolution,[status(thm)],[f27154,f1858]) ).
thf(f27154,plain,
( ( c4
= ( g @ c4 @ c5 ) )
| ( c5
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c5 @ c5 ) )
| spl0_210 ),
inference(trivial_inequality_removal,[status(thm)],[f27152]) ).
thf(f27152,plain,
( ( c3
= ( g @ c5 @ c5 ) )
| ( c5
= ( g @ c4 @ c5 ) )
| ( c4
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| ( c2 != c2 )
| spl0_210 ),
inference(superposition,[status(thm)],[f5375,f293]) ).
thf(f5375,plain,
( ( c2
!= ( g @ c4 @ c5 ) )
| spl0_210 ),
inference(avatar_component_clause,[status(thm)],[f5374]) ).
thf(f28307,plain,
( spl0_238
| spl0_108
| spl0_110
| spl0_109
| spl0_31
| ~ spl0_42
| spl0_111
| spl0_151
| spl0_152 ),
inference(avatar_split_clause,[status(thm)],[f26042,f2681,f2677,f2416,f424,f319,f2408,f2412,f2404,f9225]) ).
thf(f26042,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_31
| ~ spl0_42
| spl0_111
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f26041,f11]) ).
thf(f26041,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_31
| ~ spl0_42
| spl0_111
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f26040,f11]) ).
thf(f26040,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_31
| ~ spl0_42
| spl0_111
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f26039,f2417]) ).
thf(f26039,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_31
| ~ spl0_42
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f26038,f11]) ).
thf(f26038,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_31
| ~ spl0_42
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f26037,f321]) ).
thf(f26037,plain,
( ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3 = c4 )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_31
| ~ spl0_42
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f26036,f426]) ).
thf(f26036,plain,
( ( c3
= ( g @ c8 @ c4 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_31
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f26035,f11]) ).
thf(f26035,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_31
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f26034,f2678]) ).
thf(f26034,plain,
( ( c3
= ( g @ c8 @ c4 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| spl0_31
| spl0_152 ),
inference(trivial_inequality_removal,[status(thm)],[f26029]) ).
thf(f26029,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c4 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3 != c3 )
| spl0_31
| spl0_152 ),
inference(superposition,[status(thm)],[f2682,f13899]) ).
thf(f28299,plain,
( spl0_24
| ~ spl0_185
| ~ spl0_272 ),
inference(avatar_contradiction_clause,[status(thm)],[f28298]) ).
thf(f28298,plain,
( $false
| spl0_24
| ~ spl0_185
| ~ spl0_272 ),
inference(subsumption_resolution,[status(thm)],[f28281,f263]) ).
thf(f263,plain,
( ( c3 != c2 )
| spl0_24 ),
inference(avatar_component_clause,[status(thm)],[f261]) ).
thf(f28281,plain,
( ( c3 = c2 )
| ~ spl0_185
| ~ spl0_272 ),
inference(backward_demodulation,[status(thm)],[f2988,f12103]) ).
thf(f12103,plain,
( ( c3
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_272 ),
inference(avatar_component_clause,[status(thm)],[f12101]) ).
thf(f12101,definition,
( spl0_272
<=> ( c3
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_272])],[avatar_definition]) ).
thf(f2988,plain,
( ( c2
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[status(thm)],[f2986]) ).
thf(f2986,definition,
( spl0_185
<=> ( c2
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_185])],[avatar_definition]) ).
thf(f28070,plain,
( spl0_108
| spl0_109
| spl0_1
| ~ spl0_15
| spl0_110
| spl0_111 ),
inference(avatar_split_clause,[status(thm)],[f28069,f2416,f2412,f218,f115,f2408,f2404]) ).
thf(f218,definition,
( spl0_15
<=> ( c3
= ( g @ c8 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition]) ).
thf(f28069,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_1
| ~ spl0_15
| spl0_110
| spl0_111 ),
inference(subsumption_resolution,[status(thm)],[f28068,f117]) ).
thf(f117,plain,
( ( c1 != c3 )
| spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f115]) ).
thf(f28068,plain,
( ( c1 = c3 )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ~ spl0_15
| spl0_110
| spl0_111 ),
inference(subsumption_resolution,[status(thm)],[f28067,f2413]) ).
thf(f2413,plain,
( ( c4
!= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_110 ),
inference(avatar_component_clause,[status(thm)],[f2412]) ).
thf(f28067,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c1 = c3 )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ~ spl0_15
| spl0_111 ),
inference(subsumption_resolution,[status(thm)],[f28047,f2417]) ).
thf(f28047,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c1 = c3 )
| ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ~ spl0_15 ),
inference(superposition,[status(thm)],[f27412,f112]) ).
thf(f27412,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[status(thm)],[f27403]) ).
thf(f27403,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ( c3 != c3 )
| ~ spl0_15 ),
inference(superposition,[status(thm)],[f83,f220]) ).
thf(f220,plain,
( ( c3
= ( g @ c8 @ c5 ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[status(thm)],[f218]) ).
thf(f83,plain,
! [X0: $i] :
( ( c3
!= ( g @ c8 @ X0 ) )
| ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ X0 ) ) ),
inference(superposition,[status(thm)],[f29,f79]) ).
thf(f27994,plain,
( spl0_291
| spl0_13
| ~ spl0_185
| spl0_286
| spl0_292
| spl0_293 ),
inference(avatar_split_clause,[status(thm)],[f27993,f17136,f17132,f14272,f2986,f210,f14300]) ).
thf(f14272,definition,
( spl0_286
<=> ( c3
= ( g @ c3 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_286])],[avatar_definition]) ).
thf(f17132,definition,
( spl0_292
<=> ( c5
= ( g @ c3 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_292])],[avatar_definition]) ).
thf(f17136,definition,
( spl0_293
<=> ( c4
= ( g @ c3 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_293])],[avatar_definition]) ).
thf(f27993,plain,
( ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| spl0_13
| ~ spl0_185
| spl0_286
| spl0_292
| spl0_293 ),
inference(subsumption_resolution,[status(thm)],[f27992,f17137]) ).
thf(f17137,plain,
( ( c4
!= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_293 ),
inference(avatar_component_clause,[status(thm)],[f17136]) ).
thf(f27992,plain,
( ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_13
| ~ spl0_185
| spl0_286
| spl0_292 ),
inference(subsumption_resolution,[status(thm)],[f27991,f14273]) ).
thf(f14273,plain,
( ( c3
!= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_286 ),
inference(avatar_component_clause,[status(thm)],[f14272]) ).
thf(f27991,plain,
( ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_13
| ~ spl0_185
| spl0_292 ),
inference(subsumption_resolution,[status(thm)],[f27990,f17133]) ).
thf(f17133,plain,
( ( c5
!= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_292 ),
inference(avatar_component_clause,[status(thm)],[f17132]) ).
thf(f27990,plain,
( ( c5
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_13
| ~ spl0_185 ),
inference(subsumption_resolution,[status(thm)],[f27974,f212]) ).
thf(f27974,plain,
( ( c2 = c4 )
| ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_185 ),
inference(superposition,[status(thm)],[f650,f2988]) ).
thf(f27945,plain,
( spl0_272
| spl0_274
| spl0_271
| spl0_167
| spl0_273 ),
inference(avatar_split_clause,[status(thm)],[f27944,f12105,f2786,f12097,f12109,f12101]) ).
thf(f12109,definition,
( spl0_274
<=> ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_274])],[avatar_definition]) ).
thf(f12097,definition,
( spl0_271
<=> ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_271])],[avatar_definition]) ).
thf(f2786,definition,
( spl0_167
<=> ( c2
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_167])],[avatar_definition]) ).
thf(f12105,definition,
( spl0_273
<=> ( c5
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_273])],[avatar_definition]) ).
thf(f27944,plain,
( ( c3
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| spl0_167
| spl0_273 ),
inference(subsumption_resolution,[status(thm)],[f27943,f12106]) ).
thf(f12106,plain,
( ( c5
!= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| spl0_273 ),
inference(avatar_component_clause,[status(thm)],[f12105]) ).
thf(f27943,plain,
( ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| spl0_167 ),
inference(trivial_inequality_removal,[status(thm)],[f27941]) ).
thf(f27941,plain,
( ( c3
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c2 != c2 )
| ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| spl0_167 ),
inference(superposition,[status(thm)],[f2787,f295]) ).
thf(f2787,plain,
( ( c2
!= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| spl0_167 ),
inference(avatar_component_clause,[status(thm)],[f2786]) ).
thf(f27929,plain,
( spl0_214
| spl0_216
| spl0_213
| spl0_24
| ~ spl0_153
| spl0_215 ),
inference(avatar_split_clause,[status(thm)],[f27928,f7194,f2685,f261,f7186,f7198,f7190]) ).
thf(f2685,definition,
( spl0_153
<=> ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_153])],[avatar_definition]) ).
thf(f27928,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_24
| ~ spl0_153
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f27927,f263]) ).
thf(f27927,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3 = c2 )
| ~ spl0_153
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f27911,f7195]) ).
thf(f27911,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3 = c2 )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_153 ),
inference(superposition,[status(thm)],[f112,f2687]) ).
thf(f2687,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_153 ),
inference(avatar_component_clause,[status(thm)],[f2685]) ).
thf(f27880,plain,
( spl0_223
| spl0_24
| ~ spl0_134
| spl0_221
| spl0_222 ),
inference(avatar_split_clause,[status(thm)],[f27879,f7420,f7416,f2541,f261,f7424]) ).
thf(f7424,definition,
( spl0_223
<=> ( c3
= ( g @ ( s @ c5 ) @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_223])],[avatar_definition]) ).
thf(f2541,definition,
( spl0_134
<=> ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_134])],[avatar_definition]) ).
thf(f7416,definition,
( spl0_221
<=> ( c5
= ( g @ ( s @ c5 ) @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_221])],[avatar_definition]) ).
thf(f7420,definition,
( spl0_222
<=> ( c2
= ( g @ ( s @ c5 ) @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_222])],[avatar_definition]) ).
thf(f27879,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c1 ) )
| spl0_24
| ~ spl0_134
| spl0_221
| spl0_222 ),
inference(subsumption_resolution,[status(thm)],[f27878,f263]) ).
thf(f27878,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c3 = c2 )
| ~ spl0_134
| spl0_221
| spl0_222 ),
inference(subsumption_resolution,[status(thm)],[f27877,f7417]) ).
thf(f7417,plain,
( ( c5
!= ( g @ ( s @ c5 ) @ c1 ) )
| spl0_221 ),
inference(avatar_component_clause,[status(thm)],[f7416]) ).
thf(f27877,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c3 = c2 )
| ( c3
= ( g @ ( s @ c5 ) @ c1 ) )
| ~ spl0_134
| spl0_222 ),
inference(subsumption_resolution,[status(thm)],[f27876,f16]) ).
thf(f27876,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c3 = c2 )
| ( c3
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c5
= ( g @ ( s @ c5 ) @ c1 ) )
| ~ spl0_134
| spl0_222 ),
inference(subsumption_resolution,[status(thm)],[f27833,f7421]) ).
thf(f7421,plain,
( ( c2
!= ( g @ ( s @ c5 ) @ c1 ) )
| spl0_222 ),
inference(avatar_component_clause,[status(thm)],[f7420]) ).
thf(f27833,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c5
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c3 = c2 )
| ~ spl0_134 ),
inference(superposition,[status(thm)],[f2543,f112]) ).
thf(f2543,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c1 ) )
| ~ spl0_134 ),
inference(avatar_component_clause,[status(thm)],[f2541]) ).
thf(f27781,plain,
( spl0_238
| spl0_31
| ~ spl0_42
| spl0_117
| spl0_151
| spl0_152 ),
inference(avatar_split_clause,[status(thm)],[f27780,f2681,f2677,f2451,f424,f319,f9225]) ).
thf(f27780,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_31
| ~ spl0_42
| spl0_117
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f27779,f321]) ).
thf(f27779,plain,
( ( c3 = c4 )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ~ spl0_42
| spl0_117
| spl0_151
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f27778,f426]) ).
thf(f27778,plain,
( ( c3
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_117
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f27777,f2682]) ).
thf(f27777,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ c8 @ c4 ) )
| spl0_117
| spl0_151 ),
inference(subsumption_resolution,[status(thm)],[f27776,f2678]) ).
thf(f27776,plain,
( ( c3
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_117 ),
inference(trivial_inequality_removal,[status(thm)],[f27773]) ).
thf(f27773,plain,
( ( c2 != c2 )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_117 ),
inference(superposition,[status(thm)],[f2452,f298]) ).
thf(f2452,plain,
( ( c2
!= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_117 ),
inference(avatar_component_clause,[status(thm)],[f2451]) ).
thf(f27768,plain,
( spl0_213
| spl0_214
| spl0_216
| spl0_114
| spl0_215 ),
inference(avatar_split_clause,[status(thm)],[f27767,f7194,f2434,f7198,f7190,f7186]) ).
thf(f2434,definition,
( spl0_114
<=> ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_114])],[avatar_definition]) ).
thf(f27767,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_114
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f27762,f7195]) ).
thf(f27762,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_114 ),
inference(trivial_inequality_removal,[status(thm)],[f27760]) ).
thf(f27760,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3 != c3 )
| ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_114 ),
inference(superposition,[status(thm)],[f2435,f112]) ).
thf(f2435,plain,
( ( c3
!= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| spl0_114 ),
inference(avatar_component_clause,[status(thm)],[f2434]) ).
thf(f27756,plain,
( spl0_261
| spl0_31
| ~ spl0_44
| spl0_112
| spl0_132
| spl0_133 ),
inference(avatar_split_clause,[status(thm)],[f27755,f2537,f2533,f2426,f434,f319,f10938]) ).
thf(f434,definition,
( spl0_44
<=> ( c4
= ( g @ c8 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_44])],[avatar_definition]) ).
thf(f2426,definition,
( spl0_112
<=> ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_112])],[avatar_definition]) ).
thf(f27755,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_31
| ~ spl0_44
| spl0_112
| spl0_132
| spl0_133 ),
inference(subsumption_resolution,[status(thm)],[f27754,f321]) ).
thf(f27754,plain,
( ( c3 = c4 )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ~ spl0_44
| spl0_112
| spl0_132
| spl0_133 ),
inference(forward_demodulation,[status(thm)],[f27753,f436]) ).
thf(f436,plain,
( ( c4
= ( g @ c8 @ c2 ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[status(thm)],[f434]) ).
thf(f27753,plain,
( ( c3
= ( g @ c8 @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_112
| spl0_132
| spl0_133 ),
inference(subsumption_resolution,[status(thm)],[f27752,f2538]) ).
thf(f27752,plain,
( ( c3
= ( g @ c8 @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_112
| spl0_132 ),
inference(subsumption_resolution,[status(thm)],[f27751,f2534]) ).
thf(f27751,plain,
( ( c3
= ( g @ c8 @ c2 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_112 ),
inference(trivial_inequality_removal,[status(thm)],[f27748]) ).
thf(f27748,plain,
( ( c2 != c2 )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ c8 @ c2 ) )
| spl0_112 ),
inference(superposition,[status(thm)],[f2427,f298]) ).
thf(f2427,plain,
( ( c2
!= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_112 ),
inference(avatar_component_clause,[status(thm)],[f2426]) ).
thf(f27627,plain,
( spl0_262
| ~ spl0_162 ),
inference(avatar_split_clause,[status(thm)],[f27626,f2754,f11039]) ).
thf(f11039,definition,
( spl0_262
<=> ( c4
= ( g @ c4 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_262])],[avatar_definition]) ).
thf(f27626,plain,
( ( c4
= ( g @ c4 @ c4 ) )
| ~ spl0_162 ),
inference(forward_demodulation,[status(thm)],[f27625,f30]) ).
thf(f27625,plain,
( ( c4
= ( g @ c4 @ ( s @ c3 ) ) )
| ~ spl0_162 ),
inference(trivial_inequality_removal,[status(thm)],[f27618]) ).
thf(f27618,plain,
( ( c2 != c2 )
| ( c4
= ( g @ c4 @ ( s @ c3 ) ) )
| ~ spl0_162 ),
inference(superposition,[status(thm)],[f9,f2756]) ).
thf(f2756,plain,
( ( c2
= ( g @ c4 @ c3 ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[status(thm)],[f2754]) ).
thf(f27608,plain,
( spl0_204
| spl0_31
| spl0_123
| spl0_145
| spl0_154
| ~ spl0_259 ),
inference(avatar_split_clause,[status(thm)],[f27607,f10746,f2694,f2628,f2480,f319,f4742]) ).
thf(f27607,plain,
( ( c4
= ( g @ c3 @ c2 ) )
| spl0_31
| spl0_123
| spl0_145
| spl0_154
| ~ spl0_259 ),
inference(subsumption_resolution,[status(thm)],[f27606,f321]) ).
thf(f27606,plain,
( ( c3 = c4 )
| ( c4
= ( g @ c3 @ c2 ) )
| spl0_123
| spl0_145
| spl0_154
| ~ spl0_259 ),
inference(forward_demodulation,[status(thm)],[f27605,f10748]) ).
thf(f10748,plain,
( ( c4
= ( g @ c4 @ c2 ) )
| ~ spl0_259 ),
inference(avatar_component_clause,[status(thm)],[f10746]) ).
thf(f27605,plain,
( ( c3
= ( g @ c4 @ c2 ) )
| ( c4
= ( g @ c3 @ c2 ) )
| spl0_123
| spl0_145
| spl0_154 ),
inference(subsumption_resolution,[status(thm)],[f27604,f2629]) ).
thf(f2629,plain,
( ( c5
!= ( g @ c3 @ c2 ) )
| spl0_145 ),
inference(avatar_component_clause,[status(thm)],[f2628]) ).
thf(f27604,plain,
( ( c4
= ( g @ c3 @ c2 ) )
| ( c5
= ( g @ c3 @ c2 ) )
| ( c3
= ( g @ c4 @ c2 ) )
| spl0_123
| spl0_154 ),
inference(subsumption_resolution,[status(thm)],[f27603,f2481]) ).
thf(f2481,plain,
( ( c3
!= ( g @ c3 @ c2 ) )
| spl0_123 ),
inference(avatar_component_clause,[status(thm)],[f2480]) ).
thf(f27603,plain,
( ( c4
= ( g @ c3 @ c2 ) )
| ( c3
= ( g @ c4 @ c2 ) )
| ( c3
= ( g @ c3 @ c2 ) )
| ( c5
= ( g @ c3 @ c2 ) )
| spl0_154 ),
inference(trivial_inequality_removal,[status(thm)],[f27601]) ).
thf(f27601,plain,
( ( c2 != c2 )
| ( c5
= ( g @ c3 @ c2 ) )
| ( c3
= ( g @ c4 @ c2 ) )
| ( c4
= ( g @ c3 @ c2 ) )
| ( c3
= ( g @ c3 @ c2 ) )
| spl0_154 ),
inference(superposition,[status(thm)],[f2695,f294]) ).
thf(f2695,plain,
( ( c2
!= ( g @ c3 @ c2 ) )
| spl0_154 ),
inference(avatar_component_clause,[status(thm)],[f2694]) ).
thf(f27493,plain,
( spl0_185
| ~ spl0_55 ),
inference(avatar_split_clause,[status(thm)],[f27492,f652,f2986]) ).
thf(f27492,plain,
( ( c2
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[status(thm)],[f27481]) ).
thf(f27481,plain,
( ( c2
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ( c4 != c4 )
| ~ spl0_55 ),
inference(superposition,[status(thm)],[f84,f654]) ).
thf(f654,plain,
( ( c4
= ( g @ c3 @ c8 ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[status(thm)],[f652]) ).
thf(f84,plain,
! [X0: $i] :
( ( c4
!= ( g @ X0 @ c8 ) )
| ( c2
= ( g @ X0 @ ( s @ ( s @ c5 ) ) ) ) ),
inference(superposition,[status(thm)],[f10,f79]) ).
thf(f27426,plain,
( spl0_248
| ~ spl0_86 ),
inference(avatar_split_clause,[status(thm)],[f27425,f1453,f10355]) ).
thf(f10355,definition,
( spl0_248
<=> ( c2
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_248])],[avatar_definition]) ).
thf(f1453,definition,
( spl0_86
<=> ( c4
= ( g @ c5 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_86])],[avatar_definition]) ).
thf(f27425,plain,
( ( c2
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[status(thm)],[f27415]) ).
thf(f27415,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_86 ),
inference(superposition,[status(thm)],[f84,f1455]) ).
thf(f1455,plain,
( ( c4
= ( g @ c5 @ c8 ) )
| ~ spl0_86 ),
inference(avatar_component_clause,[status(thm)],[f1453]) ).
thf(f27394,plain,
( spl0_263
| spl0_268
| spl0_164
| spl0_155
| spl0_166 ),
inference(avatar_split_clause,[status(thm)],[f18094,f2777,f2698,f2769,f11561,f11045]) ).
thf(f11561,definition,
( spl0_268
<=> ( c4
= ( g @ c2 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_268])],[avatar_definition]) ).
thf(f2769,definition,
( spl0_164
<=> ( c3
= ( g @ c2 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_164])],[avatar_definition]) ).
thf(f2698,definition,
( spl0_155
<=> ( c3
= ( g @ c3 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_155])],[avatar_definition]) ).
thf(f2777,definition,
( spl0_166
<=> ( c5
= ( g @ c2 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_166])],[avatar_definition]) ).
thf(f18094,plain,
( ( c3
= ( g @ c2 @ c3 ) )
| ( c3
= ( g @ c3 @ c3 ) )
| ( c4
= ( g @ c2 @ c3 ) )
| ( c4
= ( g @ c2 @ c4 ) )
| spl0_166 ),
inference(subsumption_resolution,[status(thm)],[f12582,f2778]) ).
thf(f2778,plain,
( ( c5
!= ( g @ c2 @ c3 ) )
| spl0_166 ),
inference(avatar_component_clause,[status(thm)],[f2777]) ).
thf(f12582,plain,
( ( c3
= ( g @ c3 @ c3 ) )
| ( c5
= ( g @ c2 @ c3 ) )
| ( c4
= ( g @ c2 @ c4 ) )
| ( c4
= ( g @ c2 @ c3 ) )
| ( c3
= ( g @ c2 @ c3 ) ) ),
inference(superposition,[status(thm)],[f701,f30]) ).
thf(f27377,plain,
( spl0_213
| spl0_261
| spl0_216
| spl0_31
| ~ spl0_44
| spl0_132
| spl0_133
| spl0_214
| spl0_215 ),
inference(avatar_split_clause,[status(thm)],[f26885,f7194,f7190,f2537,f2533,f434,f319,f7198,f10938,f7186]) ).
thf(f26885,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_31
| ~ spl0_44
| spl0_132
| spl0_133
| spl0_214
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f26884,f13]) ).
thf(f26884,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| spl0_31
| ~ spl0_44
| spl0_132
| spl0_133
| spl0_214
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f26883,f321]) ).
thf(f26883,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3 = c4 )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| spl0_31
| ~ spl0_44
| spl0_132
| spl0_133
| spl0_214
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f26882,f436]) ).
thf(f27350,plain,
( spl0_3
| ~ spl0_47
| ~ spl0_282 ),
inference(avatar_contradiction_clause,[status(thm)],[f27349]) ).
thf(f27349,plain,
( $false
| spl0_3
| ~ spl0_47
| ~ spl0_282 ),
inference(subsumption_resolution,[status(thm)],[f27348,f125]) ).
thf(f27348,plain,
( ( c1 = c4 )
| ~ spl0_47
| ~ spl0_282 ),
inference(forward_demodulation,[status(thm)],[f25754,f13743]) ).
thf(f13743,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_282 ),
inference(avatar_component_clause,[status(thm)],[f13741]) ).
thf(f13741,definition,
( spl0_282
<=> ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_282])],[avatar_definition]) ).
thf(f25754,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[status(thm)],[f25745]) ).
thf(f25745,plain,
( ( c3 != c3 )
| ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_47 ),
inference(superposition,[status(thm)],[f83,f451]) ).
thf(f451,plain,
( ( c3
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[status(thm)],[f449]) ).
thf(f27243,plain,
( spl0_247
| ~ spl0_244 ),
inference(avatar_split_clause,[status(thm)],[f27242,f10297,f10351]) ).
thf(f10351,definition,
( spl0_247
<=> ( c4
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_247])],[avatar_definition]) ).
thf(f10297,definition,
( spl0_244
<=> ( c2
= ( g @ c5 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_244])],[avatar_definition]) ).
thf(f27242,plain,
( ( c4
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[status(thm)],[f27235]) ).
thf(f27235,plain,
( ( c4
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c2 != c2 )
| ~ spl0_244 ),
inference(superposition,[status(thm)],[f9,f10299]) ).
thf(f10299,plain,
( ( c2
= ( g @ c5 @ ( s @ c5 ) ) )
| ~ spl0_244 ),
inference(avatar_component_clause,[status(thm)],[f10297]) ).
thf(f27151,plain,
( spl0_9
| ~ spl0_99
| ~ spl0_210 ),
inference(avatar_contradiction_clause,[status(thm)],[f27150]) ).
thf(f27150,plain,
( $false
| spl0_9
| ~ spl0_99
| ~ spl0_210 ),
inference(subsumption_resolution,[status(thm)],[f27135,f154]) ).
thf(f27135,plain,
( ( c1 = c2 )
| ~ spl0_99
| ~ spl0_210 ),
inference(backward_demodulation,[status(thm)],[f26596,f5376]) ).
thf(f5376,plain,
( ( c2
= ( g @ c4 @ c5 ) )
| ~ spl0_210 ),
inference(avatar_component_clause,[status(thm)],[f5374]) ).
thf(f26596,plain,
( ( c1
= ( g @ c4 @ c5 ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[status(thm)],[f26588]) ).
thf(f26588,plain,
( ( c1
= ( g @ c4 @ c5 ) )
| ( c3 != c3 )
| ~ spl0_99 ),
inference(superposition,[status(thm)],[f70,f1855]) ).
thf(f1855,plain,
( ( c3
= ( g @ c5 @ c5 ) )
| ~ spl0_99 ),
inference(avatar_component_clause,[status(thm)],[f1853]) ).
thf(f27134,plain,
( spl0_210
| ~ spl0_289 ),
inference(avatar_split_clause,[status(thm)],[f27133,f14292,f5374]) ).
thf(f27133,plain,
( ( c2
= ( g @ c4 @ c5 ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[status(thm)],[f27123]) ).
thf(f27123,plain,
( ( c2
= ( g @ c4 @ c5 ) )
| ( c4 != c4 )
| ~ spl0_289 ),
inference(superposition,[status(thm)],[f10,f14294]) ).
thf(f14294,plain,
( ( c4
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_289 ),
inference(avatar_component_clause,[status(thm)],[f14292]) ).
thf(f27011,plain,
( spl0_278
| ~ spl0_217 ),
inference(avatar_split_clause,[status(thm)],[f27010,f7228,f12784]) ).
thf(f12784,definition,
( spl0_278
<=> ( c2
= ( g @ c5 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_278])],[avatar_definition]) ).
thf(f7228,definition,
( spl0_217
<=> ( c4
= ( g @ c5 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_217])],[avatar_definition]) ).
thf(f27010,plain,
( ( c2
= ( g @ c5 @ c1 ) )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[status(thm)],[f27001]) ).
thf(f27001,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c5 @ c1 ) )
| ~ spl0_217 ),
inference(superposition,[status(thm)],[f66,f7230]) ).
thf(f7230,plain,
( ( c4
= ( g @ c5 @ c2 ) )
| ~ spl0_217 ),
inference(avatar_component_clause,[status(thm)],[f7228]) ).
thf(f66,plain,
! [X0: $i] :
( ( c4
!= ( g @ X0 @ c2 ) )
| ( c2
= ( g @ X0 @ c1 ) ) ),
inference(superposition,[status(thm)],[f10,f25]) ).
thf(f26928,plain,
( spl0_203
| spl0_13
| ~ spl0_139
| spl0_239
| spl0_240 ),
inference(avatar_split_clause,[status(thm)],[f26927,f9495,f9491,f2584,f210,f4644]) ).
thf(f4644,definition,
( spl0_203
<=> ( c4
= ( g @ c1 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_203])],[avatar_definition]) ).
thf(f2584,definition,
( spl0_139
<=> ( c2
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_139])],[avatar_definition]) ).
thf(f9491,definition,
( spl0_239
<=> ( c3
= ( g @ c2 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_239])],[avatar_definition]) ).
thf(f9495,definition,
( spl0_240
<=> ( c5
= ( g @ c1 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_240])],[avatar_definition]) ).
thf(f26927,plain,
( ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| spl0_13
| ~ spl0_139
| spl0_239
| spl0_240 ),
inference(subsumption_resolution,[status(thm)],[f26926,f9496]) ).
thf(f9496,plain,
( ( c5
!= ( g @ c1 @ ( s @ c5 ) ) )
| spl0_240 ),
inference(avatar_component_clause,[status(thm)],[f9495]) ).
thf(f26926,plain,
( ( c5
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| spl0_13
| ~ spl0_139
| spl0_239 ),
inference(subsumption_resolution,[status(thm)],[f26925,f212]) ).
thf(f26925,plain,
( ( c2 = c4 )
| ( c5
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| ~ spl0_139
| spl0_239 ),
inference(subsumption_resolution,[status(thm)],[f26908,f9492]) ).
thf(f9492,plain,
( ( c3
!= ( g @ c2 @ ( s @ c5 ) ) )
| spl0_239 ),
inference(avatar_component_clause,[status(thm)],[f9491]) ).
thf(f26908,plain,
( ( c3
= ( g @ c2 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c2 = c4 )
| ( c5
= ( g @ c1 @ ( s @ c5 ) ) )
| ~ spl0_139 ),
inference(superposition,[status(thm)],[f2586,f376]) ).
thf(f2586,plain,
( ( c2
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[status(thm)],[f2584]) ).
thf(f26795,plain,
( spl0_237
| ~ spl0_112 ),
inference(avatar_split_clause,[status(thm)],[f26794,f2426,f9214]) ).
thf(f26794,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f26768,f13]) ).
thf(f26768,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c2 ) ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[status(thm)],[f26761]) ).
thf(f26761,plain,
( ( c2 != c2 )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c2 ) ) )
| ~ spl0_112 ),
inference(superposition,[status(thm)],[f9,f2428]) ).
thf(f2428,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ~ spl0_112 ),
inference(avatar_component_clause,[status(thm)],[f2426]) ).
thf(f26780,plain,
( spl0_216
| spl0_261
| spl0_24
| spl0_31
| ~ spl0_44
| ~ spl0_112
| spl0_132
| spl0_213
| spl0_214
| spl0_215 ),
inference(avatar_split_clause,[status(thm)],[f26779,f7194,f7190,f7186,f2533,f2426,f434,f319,f261,f10938,f7198]) ).
thf(f26779,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_24
| spl0_31
| ~ spl0_44
| ~ spl0_112
| spl0_132
| spl0_213
| spl0_214
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f26778,f7191]) ).
thf(f26778,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_24
| spl0_31
| ~ spl0_44
| ~ spl0_112
| spl0_132
| spl0_213
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f26777,f13]) ).
thf(f26777,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_24
| spl0_31
| ~ spl0_44
| ~ spl0_112
| spl0_132
| spl0_213
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f26776,f321]) ).
thf(f26776,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3 = c4 )
| spl0_24
| spl0_31
| ~ spl0_44
| ~ spl0_112
| spl0_132
| spl0_213
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f26775,f436]) ).
thf(f26775,plain,
( ( c3
= ( g @ c8 @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_24
| spl0_31
| ~ spl0_112
| spl0_132
| spl0_213
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f26774,f13]) ).
thf(f26774,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ c8 @ c2 ) )
| spl0_24
| spl0_31
| ~ spl0_112
| spl0_132
| spl0_213
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f26773,f7195]) ).
thf(f26773,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ c8 @ c2 ) )
| ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_24
| spl0_31
| ~ spl0_112
| spl0_132
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f26772,f13]) ).
thf(f26772,plain,
( ( c5
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ c8 @ c2 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| spl0_24
| spl0_31
| ~ spl0_112
| spl0_132
| spl0_213 ),
inference(subsumption_resolution,[status(thm)],[f26771,f7187]) ).
thf(f7187,plain,
( ( c3
!= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_213 ),
inference(avatar_component_clause,[status(thm)],[f7186]) ).
thf(f26771,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ c8 @ c2 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| spl0_24
| spl0_31
| ~ spl0_112
| spl0_132 ),
inference(forward_demodulation,[status(thm)],[f26770,f13]) ).
thf(f26770,plain,
( ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ c8 @ c2 ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| spl0_24
| spl0_31
| ~ spl0_112
| spl0_132 ),
inference(subsumption_resolution,[status(thm)],[f26769,f263]) ).
thf(f26769,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ c8 @ c2 ) )
| ( c3 = c2 )
| spl0_31
| ~ spl0_112
| spl0_132 ),
inference(subsumption_resolution,[status(thm)],[f26753,f2534]) ).
thf(f26753,plain,
( ( c3
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3 = c2 )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ c2 ) ) )
| ( c3
= ( g @ c8 @ c2 ) )
| spl0_31
| ~ spl0_112 ),
inference(superposition,[status(thm)],[f2428,f13899]) ).
thf(f26645,plain,
( spl0_259
| ~ spl0_135 ),
inference(avatar_split_clause,[status(thm)],[f26644,f2557,f10746]) ).
thf(f26644,plain,
( ( c4
= ( g @ c4 @ c2 ) )
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f26643,f25]) ).
thf(f26643,plain,
( ( c4
= ( g @ c4 @ ( s @ c1 ) ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[status(thm)],[f26636]) ).
thf(f26636,plain,
( ( c2 != c2 )
| ( c4
= ( g @ c4 @ ( s @ c1 ) ) )
| ~ spl0_135 ),
inference(superposition,[status(thm)],[f9,f2559]) ).
thf(f2559,plain,
( ( c2
= ( g @ c4 @ c1 ) )
| ~ spl0_135 ),
inference(avatar_component_clause,[status(thm)],[f2557]) ).
thf(f26528,plain,
( spl0_139
| ~ spl0_41 ),
inference(avatar_split_clause,[status(thm)],[f26526,f387,f2584]) ).
thf(f387,definition,
( spl0_41
<=> ( c4
= ( g @ c1 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_41])],[avatar_definition]) ).
thf(f26526,plain,
( ( c2
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[status(thm)],[f26515]) ).
thf(f26515,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_41 ),
inference(superposition,[status(thm)],[f84,f389]) ).
thf(f389,plain,
( ( c4
= ( g @ c1 @ c8 ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[status(thm)],[f387]) ).
thf(f26461,plain,
( spl0_109
| spl0_108
| spl0_31
| spl0_110
| spl0_111
| ~ spl0_266 ),
inference(avatar_split_clause,[status(thm)],[f26460,f11102,f2416,f2412,f319,f2404,f2408]) ).
thf(f26460,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_31
| spl0_110
| spl0_111
| ~ spl0_266 ),
inference(subsumption_resolution,[status(thm)],[f26154,f2413]) ).
thf(f26154,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_31
| spl0_111
| ~ spl0_266 ),
inference(subsumption_resolution,[status(thm)],[f26153,f2417]) ).
thf(f26153,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| spl0_31
| ~ spl0_266 ),
inference(subsumption_resolution,[status(thm)],[f26137,f321]) ).
thf(f26137,plain,
( ( c3 = c4 )
| ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c5
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ~ spl0_266 ),
inference(superposition,[status(thm)],[f11104,f112]) ).
thf(f11104,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ~ spl0_266 ),
inference(avatar_component_clause,[status(thm)],[f11102]) ).
thf(f26459,plain,
( spl0_86
| spl0_51
| spl0_1
| spl0_87
| ~ spl0_260 ),
inference(avatar_split_clause,[status(thm)],[f26458,f10758,f1457,f115,f601,f1453]) ).
thf(f601,definition,
( spl0_51
<=> ( c3
= ( g @ c5 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_51])],[avatar_definition]) ).
thf(f1457,definition,
( spl0_87
<=> ( c5
= ( g @ c5 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_87])],[avatar_definition]) ).
thf(f10758,definition,
( spl0_260
<=> ( c1
= ( g @ ( s @ c5 ) @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_260])],[avatar_definition]) ).
thf(f26458,plain,
( ( c3
= ( g @ c5 @ c8 ) )
| ( c4
= ( g @ c5 @ c8 ) )
| spl0_1
| spl0_87
| ~ spl0_260 ),
inference(subsumption_resolution,[status(thm)],[f26457,f117]) ).
thf(f26457,plain,
( ( c3
= ( g @ c5 @ c8 ) )
| ( c4
= ( g @ c5 @ c8 ) )
| ( c1 = c3 )
| spl0_87
| ~ spl0_260 ),
inference(subsumption_resolution,[status(thm)],[f26456,f15]) ).
thf(f26456,plain,
( ( c4
= ( g @ c5 @ c8 ) )
| ( c2
= ( g @ c5 @ c8 ) )
| ( c1 = c3 )
| ( c3
= ( g @ c5 @ c8 ) )
| spl0_87
| ~ spl0_260 ),
inference(subsumption_resolution,[status(thm)],[f26217,f1458]) ).
thf(f1458,plain,
( ( c5
!= ( g @ c5 @ c8 ) )
| spl0_87 ),
inference(avatar_component_clause,[status(thm)],[f1457]) ).
thf(f26217,plain,
( ( c4
= ( g @ c5 @ c8 ) )
| ( c5
= ( g @ c5 @ c8 ) )
| ( c3
= ( g @ c5 @ c8 ) )
| ( c2
= ( g @ c5 @ c8 ) )
| ( c1 = c3 )
| ~ spl0_260 ),
inference(superposition,[status(thm)],[f112,f10760]) ).
thf(f10760,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c8 ) )
| ~ spl0_260 ),
inference(avatar_component_clause,[status(thm)],[f10758]) ).
thf(f26423,plain,
( spl0_1
| ~ spl0_47
| ~ spl0_296 ),
inference(avatar_contradiction_clause,[status(thm)],[f26422]) ).
thf(f26422,plain,
( $false
| spl0_1
| ~ spl0_47
| ~ spl0_296 ),
inference(subsumption_resolution,[status(thm)],[f26421,f117]) ).
thf(f26421,plain,
( ( c1 = c3 )
| ~ spl0_47
| ~ spl0_296 ),
inference(forward_demodulation,[status(thm)],[f25754,f18441]) ).
thf(f18441,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_296 ),
inference(avatar_component_clause,[status(thm)],[f18439]) ).
thf(f18439,definition,
( spl0_296
<=> ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_296])],[avatar_definition]) ).
thf(f25871,plain,
( spl0_31
| ~ spl0_71
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[status(thm)],[f25870]) ).
thf(f25870,plain,
( $false
| spl0_31
| ~ spl0_71
| ~ spl0_73 ),
inference(subsumption_resolution,[status(thm)],[f25869,f321]) ).
thf(f25869,plain,
( ( c3 = c4 )
| ~ spl0_71
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f1006,f998]) ).
thf(f998,plain,
( ( c4
= ( g @ c8 @ ( s @ c5 ) ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[status(thm)],[f996]) ).
thf(f996,definition,
( spl0_71
<=> ( c4
= ( g @ c8 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_71])],[avatar_definition]) ).
thf(f1006,plain,
( ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[status(thm)],[f1004]) ).
thf(f1004,definition,
( spl0_73
<=> ( c3
= ( g @ c8 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_73])],[avatar_definition]) ).
thf(f25784,plain,
( spl0_260
| ~ spl0_68 ),
inference(avatar_split_clause,[status(thm)],[f25783,f951,f10758]) ).
thf(f25783,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c8 ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[status(thm)],[f25775]) ).
thf(f25775,plain,
( ( c3 != c3 )
| ( c1
= ( g @ ( s @ c5 ) @ c8 ) )
| ~ spl0_68 ),
inference(superposition,[status(thm)],[f29,f953]) ).
thf(f953,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ~ spl0_68 ),
inference(avatar_component_clause,[status(thm)],[f951]) ).
thf(f25669,plain,
( spl0_53
| ~ spl0_89 ),
inference(avatar_split_clause,[status(thm)],[f25668,f1466,f609]) ).
thf(f25668,plain,
( ( c3
= ( g @ c4 @ c8 ) )
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f25662,f30]) ).
thf(f25662,plain,
( ( c3
= ( g @ ( s @ c3 ) @ c8 ) )
| ~ spl0_89 ),
inference(trivial_inequality_removal,[status(thm)],[f25661]) ).
thf(f25661,plain,
( ( c1 != c1 )
| ( c3
= ( g @ ( s @ c3 ) @ c8 ) )
| ~ spl0_89 ),
inference(superposition,[status(thm)],[f28,f1468]) ).
thf(f1468,plain,
( ( c1
= ( g @ c3 @ c8 ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[status(thm)],[f1466]) ).
thf(f25625,plain,
( spl0_42
| ~ spl0_21 ),
inference(avatar_split_clause,[status(thm)],[f25624,f247,f424]) ).
thf(f247,definition,
( spl0_21
<=> ( c2
= ( g @ c8 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition]) ).
thf(f25624,plain,
( ( c4
= ( g @ c8 @ c4 ) )
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f25623,f30]) ).
thf(f25623,plain,
( ( c4
= ( g @ c8 @ ( s @ c3 ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f25616]) ).
thf(f25616,plain,
( ( c4
= ( g @ c8 @ ( s @ c3 ) ) )
| ( c2 != c2 )
| ~ spl0_21 ),
inference(superposition,[status(thm)],[f9,f249]) ).
thf(f249,plain,
( ( c2
= ( g @ c8 @ c3 ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[status(thm)],[f247]) ).
thf(f25577,plain,
( spl0_238
| spl0_152
| spl0_13
| spl0_22
| spl0_151
| ~ spl0_196 ),
inference(avatar_split_clause,[status(thm)],[f25576,f4014,f2677,f251,f210,f2681,f9225]) ).
thf(f4014,definition,
( spl0_196
<=> ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_196])],[avatar_definition]) ).
thf(f25576,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_13
| spl0_22
| spl0_151
| ~ spl0_196 ),
inference(subsumption_resolution,[status(thm)],[f25575,f212]) ).
thf(f25575,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c2 = c4 )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_22
| spl0_151
| ~ spl0_196 ),
inference(forward_demodulation,[status(thm)],[f25574,f4016]) ).
thf(f4016,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ~ spl0_196 ),
inference(avatar_component_clause,[status(thm)],[f4014]) ).
thf(f25574,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_22
| spl0_151 ),
inference(subsumption_resolution,[status(thm)],[f25573,f2678]) ).
thf(f25573,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_22 ),
inference(subsumption_resolution,[status(thm)],[f14809,f252]) ).
thf(f14809,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ c8 @ c4 ) ) ),
inference(superposition,[status(thm)],[f939,f11]) ).
thf(f25562,plain,
( spl0_9
| ~ spl0_26
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[status(thm)],[f25561]) ).
thf(f25561,plain,
( $false
| spl0_9
| ~ spl0_26
| ~ spl0_153 ),
inference(subsumption_resolution,[status(thm)],[f25542,f154]) ).
thf(f25542,plain,
( ( c1 = c2 )
| ~ spl0_26
| ~ spl0_153 ),
inference(backward_demodulation,[status(thm)],[f24936,f2687]) ).
thf(f24936,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[status(thm)],[f24927]) ).
thf(f24927,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ( c3 != c3 )
| ~ spl0_26 ),
inference(superposition,[status(thm)],[f83,f273]) ).
thf(f273,plain,
( ( c3
= ( g @ c8 @ c3 ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[status(thm)],[f271]) ).
thf(f271,definition,
( spl0_26
<=> ( c3
= ( g @ c8 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_26])],[avatar_definition]) ).
thf(f25526,plain,
( spl0_153
| ~ spl0_238 ),
inference(avatar_split_clause,[status(thm)],[f25523,f9225,f2685]) ).
thf(f25523,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[status(thm)],[f25511]) ).
thf(f25511,plain,
( ( c4 != c4 )
| ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_238 ),
inference(superposition,[status(thm)],[f64,f9227]) ).
thf(f9227,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[status(thm)],[f9225]) ).
thf(f64,plain,
! [X0: $i] :
( ( c4
!= ( g @ X0 @ c4 ) )
| ( c2
= ( g @ X0 @ c3 ) ) ),
inference(superposition,[status(thm)],[f10,f30]) ).
thf(f25468,plain,
( spl0_230
| spl0_232
| spl0_233
| spl0_24
| ~ spl0_201
| spl0_231 ),
inference(avatar_split_clause,[status(thm)],[f25467,f9082,f4351,f261,f9090,f9086,f9078]) ).
thf(f9078,definition,
( spl0_230
<=> ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_230])],[avatar_definition]) ).
thf(f9086,definition,
( spl0_232
<=> ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_232])],[avatar_definition]) ).
thf(f9090,definition,
( spl0_233
<=> ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_233])],[avatar_definition]) ).
thf(f4351,definition,
( spl0_201
<=> ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_201])],[avatar_definition]) ).
thf(f9082,definition,
( spl0_231
<=> ( c5
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_231])],[avatar_definition]) ).
thf(f25467,plain,
( ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_24
| ~ spl0_201
| spl0_231 ),
inference(subsumption_resolution,[status(thm)],[f25466,f9083]) ).
thf(f9083,plain,
( ( c5
!= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_231 ),
inference(avatar_component_clause,[status(thm)],[f9082]) ).
thf(f25466,plain,
( ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_24
| ~ spl0_201 ),
inference(subsumption_resolution,[status(thm)],[f25420,f263]) ).
thf(f25420,plain,
( ( c3 = c2 )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_201 ),
inference(superposition,[status(thm)],[f4353,f112]) ).
thf(f4353,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[status(thm)],[f4351]) ).
thf(f25464,plain,
( spl0_283
| spl0_285
| spl0_13
| spl0_73
| ~ spl0_201
| spl0_284 ),
inference(avatar_split_clause,[status(thm)],[f25463,f13891,f4351,f1004,f210,f13895,f13887]) ).
thf(f13887,definition,
( spl0_283
<=> ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_283])],[avatar_definition]) ).
thf(f13895,definition,
( spl0_285
<=> ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_285])],[avatar_definition]) ).
thf(f13891,definition,
( spl0_284
<=> ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_284])],[avatar_definition]) ).
thf(f25463,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_13
| spl0_73
| ~ spl0_201
| spl0_284 ),
inference(subsumption_resolution,[status(thm)],[f25462,f212]) ).
thf(f25462,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c2 = c4 )
| spl0_73
| ~ spl0_201
| spl0_284 ),
inference(subsumption_resolution,[status(thm)],[f25461,f1005]) ).
thf(f1005,plain,
( ( c3
!= ( g @ c8 @ ( s @ c5 ) ) )
| spl0_73 ),
inference(avatar_component_clause,[status(thm)],[f1004]) ).
thf(f25461,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c2 = c4 )
| ~ spl0_201
| spl0_284 ),
inference(subsumption_resolution,[status(thm)],[f25418,f13892]) ).
thf(f13892,plain,
( ( c5
!= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_284 ),
inference(avatar_component_clause,[status(thm)],[f13891]) ).
thf(f25418,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| ( c2 = c4 )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ~ spl0_201 ),
inference(superposition,[status(thm)],[f4353,f939]) ).
thf(f25404,plain,
( spl0_214
| spl0_1
| ~ spl0_26
| spl0_213
| spl0_215
| spl0_216 ),
inference(avatar_split_clause,[status(thm)],[f25403,f7198,f7194,f7186,f271,f115,f7190]) ).
thf(f25403,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_1
| ~ spl0_26
| spl0_213
| spl0_215
| spl0_216 ),
inference(subsumption_resolution,[status(thm)],[f25402,f7199]) ).
thf(f25402,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_1
| ~ spl0_26
| spl0_213
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f25401,f7195]) ).
thf(f25401,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_1
| ~ spl0_26
| spl0_213 ),
inference(subsumption_resolution,[status(thm)],[f25400,f117]) ).
thf(f25400,plain,
( ( c1 = c3 )
| ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_26
| spl0_213 ),
inference(subsumption_resolution,[status(thm)],[f25386,f7187]) ).
thf(f25386,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c1 = c3 )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_26 ),
inference(superposition,[status(thm)],[f112,f24936]) ).
thf(f25399,plain,
( spl0_214
| spl0_1
| ~ spl0_26
| spl0_213
| spl0_215
| spl0_216 ),
inference(avatar_split_clause,[status(thm)],[f25398,f7198,f7194,f7186,f271,f115,f7190]) ).
thf(f25398,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_1
| ~ spl0_26
| spl0_213
| spl0_215
| spl0_216 ),
inference(subsumption_resolution,[status(thm)],[f25397,f117]) ).
thf(f25397,plain,
( ( c1 = c3 )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_26
| spl0_213
| spl0_215
| spl0_216 ),
inference(subsumption_resolution,[status(thm)],[f25396,f7187]) ).
thf(f25396,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c1 = c3 )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_26
| spl0_215
| spl0_216 ),
inference(subsumption_resolution,[status(thm)],[f25395,f7199]) ).
thf(f25395,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c1 = c3 )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_26
| spl0_215 ),
inference(subsumption_resolution,[status(thm)],[f25377,f7195]) ).
thf(f25377,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c1 = c3 )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_26 ),
inference(superposition,[status(thm)],[f24936,f112]) ).
thf(f25190,plain,
( spl0_201
| ~ spl0_67 ),
inference(avatar_split_clause,[status(thm)],[f25179,f947,f4351]) ).
thf(f25179,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[status(thm)],[f25166]) ).
thf(f25166,plain,
( ( c4 != c4 )
| ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_67 ),
inference(superposition,[status(thm)],[f84,f949]) ).
thf(f949,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[status(thm)],[f947]) ).
thf(f25105,plain,
( spl0_192
| ~ spl0_148 ),
inference(avatar_split_clause,[status(thm)],[f25104,f2644,f3793]) ).
thf(f3793,definition,
( spl0_192
<=> ( c1
= ( g @ c3 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_192])],[avatar_definition]) ).
thf(f25104,plain,
( ( c1
= ( g @ c3 @ c1 ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[status(thm)],[f25095]) ).
thf(f25095,plain,
( ( c1
= ( g @ c3 @ c1 ) )
| ( c3 != c3 )
| ~ spl0_148 ),
inference(superposition,[status(thm)],[f71,f2646]) ).
thf(f2646,plain,
( ( c3
= ( g @ c4 @ c1 ) )
| ~ spl0_148 ),
inference(avatar_component_clause,[status(thm)],[f2644]) ).
thf(f71,plain,
! [X0: $i] :
( ( c3
!= ( g @ c4 @ X0 ) )
| ( c1
= ( g @ c3 @ X0 ) ) ),
inference(superposition,[status(thm)],[f29,f30]) ).
thf(f24965,plain,
( ~ spl0_22
| spl0_24
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[status(thm)],[f24964]) ).
thf(f24964,plain,
( $false
| ~ spl0_22
| spl0_24
| ~ spl0_48 ),
inference(subsumption_resolution,[status(thm)],[f24963,f263]) ).
thf(f24963,plain,
( ( c3 = c2 )
| ~ spl0_22
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f24962,f253]) ).
thf(f253,plain,
( ( c3
= ( g @ c8 @ c4 ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[status(thm)],[f251]) ).
thf(f24962,plain,
( ( c2
= ( g @ c8 @ c4 ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[status(thm)],[f24951]) ).
thf(f24951,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c8 @ c4 ) )
| ~ spl0_48 ),
inference(superposition,[status(thm)],[f63,f457]) ).
thf(f457,plain,
( ( c4
= ( g @ c8 @ c5 ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[status(thm)],[f455]) ).
thf(f455,definition,
( spl0_48
<=> ( c4
= ( g @ c8 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_48])],[avatar_definition]) ).
thf(f24904,plain,
( spl0_26
| spl0_21
| spl0_28
| spl0_43 ),
inference(avatar_split_clause,[status(thm)],[f24903,f428,f279,f247,f271]) ).
thf(f279,definition,
( spl0_28
<=> ( c5
= ( g @ c8 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_28])],[avatar_definition]) ).
thf(f428,definition,
( spl0_43
<=> ( c4
= ( g @ c8 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_43])],[avatar_definition]) ).
thf(f24903,plain,
( ( c3
= ( g @ c8 @ c3 ) )
| spl0_21
| spl0_28
| spl0_43 ),
inference(subsumption_resolution,[status(thm)],[f24902,f429]) ).
thf(f429,plain,
( ( c4
!= ( g @ c8 @ c3 ) )
| spl0_43 ),
inference(avatar_component_clause,[status(thm)],[f428]) ).
thf(f24902,plain,
( ( c3
= ( g @ c8 @ c3 ) )
| ( c4
= ( g @ c8 @ c3 ) )
| spl0_21
| spl0_28 ),
inference(subsumption_resolution,[status(thm)],[f24901,f280]) ).
thf(f280,plain,
( ( c5
!= ( g @ c8 @ c3 ) )
| spl0_28 ),
inference(avatar_component_clause,[status(thm)],[f279]) ).
thf(f24901,plain,
( ( c3
= ( g @ c8 @ c3 ) )
| ( c5
= ( g @ c8 @ c3 ) )
| ( c4
= ( g @ c8 @ c3 ) )
| spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f24899]) ).
thf(f24899,plain,
( ( c4
= ( g @ c8 @ c3 ) )
| ( c2 != c2 )
| ( c3
= ( g @ c8 @ c3 ) )
| ( c5
= ( g @ c8 @ c3 ) )
| spl0_21 ),
inference(superposition,[status(thm)],[f248,f113]) ).
thf(f248,plain,
( ( c2
!= ( g @ c8 @ c3 ) )
| spl0_21 ),
inference(avatar_component_clause,[status(thm)],[f247]) ).
thf(f24866,plain,
( spl0_277
| spl0_245
| spl0_3
| ~ spl0_88
| spl0_275
| spl0_276 ),
inference(avatar_split_clause,[status(thm)],[f24865,f12174,f12170,f1461,f123,f10343,f12178]) ).
thf(f24865,plain,
( ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| spl0_3
| ~ spl0_88
| spl0_275
| spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f24864,f125]) ).
thf(f24864,plain,
( ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c1 = c4 )
| ~ spl0_88
| spl0_275
| spl0_276 ),
inference(forward_demodulation,[status(thm)],[f24863,f1463]) ).
thf(f24863,plain,
( ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ c8 ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| spl0_275
| spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f20417,f12175]) ).
thf(f12175,plain,
( ( c4
!= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_276 ),
inference(avatar_component_clause,[status(thm)],[f12174]) ).
thf(f20417,plain,
( ( c4
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ c8 ) )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_275 ),
inference(subsumption_resolution,[status(thm)],[f14313,f12171]) ).
thf(f14313,plain,
( ( c5
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ c8 ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) ) ),
inference(superposition,[status(thm)],[f599,f79]) ).
thf(f24842,plain,
( spl0_9
| ~ spl0_185
| ~ spl0_277 ),
inference(avatar_contradiction_clause,[status(thm)],[f24841]) ).
thf(f24841,plain,
( $false
| spl0_9
| ~ spl0_185
| ~ spl0_277 ),
inference(subsumption_resolution,[status(thm)],[f24840,f154]) ).
thf(f24840,plain,
( ( c1 = c2 )
| ~ spl0_185
| ~ spl0_277 ),
inference(forward_demodulation,[status(thm)],[f24839,f2988]) ).
thf(f24839,plain,
( ( c1
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[status(thm)],[f24830]) ).
thf(f24830,plain,
( ( c1
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ( c3 != c3 )
| ~ spl0_277 ),
inference(superposition,[status(thm)],[f71,f12180]) ).
thf(f12180,plain,
( ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_277 ),
inference(avatar_component_clause,[status(thm)],[f12178]) ).
thf(f24588,plain,
( spl0_235
| ~ spl0_227 ),
inference(avatar_split_clause,[status(thm)],[f24587,f7493,f9144]) ).
thf(f9144,definition,
( spl0_235
<=> ( c4
= ( g @ c5 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_235])],[avatar_definition]) ).
thf(f7493,definition,
( spl0_227
<=> ( c2
= ( g @ c5 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_227])],[avatar_definition]) ).
thf(f24587,plain,
( ( c4
= ( g @ c5 @ c5 ) )
| ~ spl0_227 ),
inference(forward_demodulation,[status(thm)],[f24586,f11]) ).
thf(f24586,plain,
( ( c4
= ( g @ c5 @ ( s @ c4 ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[status(thm)],[f24579]) ).
thf(f24579,plain,
( ( c2 != c2 )
| ( c4
= ( g @ c5 @ ( s @ c4 ) ) )
| ~ spl0_227 ),
inference(superposition,[status(thm)],[f9,f7495]) ).
thf(f7495,plain,
( ( c2
= ( g @ c5 @ c4 ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[status(thm)],[f7493]) ).
thf(f24227,plain,
( spl0_144
| ~ spl0_97 ),
inference(avatar_split_clause,[status(thm)],[f24226,f1844,f2620]) ).
thf(f2620,definition,
( spl0_144
<=> ( c2
= ( g @ c2 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_144])],[avatar_definition]) ).
thf(f1844,definition,
( spl0_97
<=> ( c4
= ( g @ c2 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_97])],[avatar_definition]) ).
thf(f24226,plain,
( ( c2
= ( g @ c2 @ c4 ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[status(thm)],[f24216]) ).
thf(f24216,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c2 @ c4 ) )
| ~ spl0_97 ),
inference(superposition,[status(thm)],[f63,f1846]) ).
thf(f1846,plain,
( ( c4
= ( g @ c2 @ c5 ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[status(thm)],[f1844]) ).
thf(f24081,plain,
( spl0_13
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[status(thm)],[f24080]) ).
thf(f24080,plain,
( $false
| spl0_13
| ~ spl0_42
| ~ spl0_48 ),
inference(subsumption_resolution,[status(thm)],[f24079,f212]) ).
thf(f24079,plain,
( ( c2 = c4 )
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f24078,f426]) ).
thf(f24078,plain,
( ( c2
= ( g @ c8 @ c4 ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[status(thm)],[f24067]) ).
thf(f24067,plain,
( ( c2
= ( g @ c8 @ c4 ) )
| ( c4 != c4 )
| ~ spl0_48 ),
inference(superposition,[status(thm)],[f63,f457]) ).
thf(f24058,plain,
( spl0_15
| spl0_48
| spl0_12
| spl0_13
| ~ spl0_46 ),
inference(avatar_split_clause,[status(thm)],[f24057,f445,f210,f206,f455,f218]) ).
thf(f206,definition,
( spl0_12
<=> ( c5
= ( g @ c8 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition]) ).
thf(f24057,plain,
( ( c3
= ( g @ c8 @ c5 ) )
| ( c4
= ( g @ c8 @ c5 ) )
| spl0_12
| spl0_13
| ~ spl0_46 ),
inference(subsumption_resolution,[status(thm)],[f24056,f207]) ).
thf(f207,plain,
( ( c5
!= ( g @ c8 @ c5 ) )
| spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f206]) ).
thf(f24056,plain,
( ( c5
= ( g @ c8 @ c5 ) )
| ( c4
= ( g @ c8 @ c5 ) )
| ( c3
= ( g @ c8 @ c5 ) )
| spl0_13
| ~ spl0_46 ),
inference(subsumption_resolution,[status(thm)],[f13791,f212]) ).
thf(f13791,plain,
( ( c2 = c4 )
| ( c3
= ( g @ c8 @ c5 ) )
| ( c5
= ( g @ c8 @ c5 ) )
| ( c4
= ( g @ c8 @ c5 ) )
| ~ spl0_46 ),
inference(superposition,[status(thm)],[f203,f13779]) ).
thf(f13779,plain,
( ( c2
= ( g @ c8 @ ( s @ c5 ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[status(thm)],[f13768]) ).
thf(f13768,plain,
( ( c2
= ( g @ c8 @ ( s @ c5 ) ) )
| ( c4 != c4 )
| ~ spl0_46 ),
inference(superposition,[status(thm)],[f10,f447]) ).
thf(f447,plain,
( ( c4
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[status(thm)],[f445]) ).
thf(f24055,plain,
( spl0_48
| spl0_15
| spl0_12
| spl0_71 ),
inference(avatar_split_clause,[status(thm)],[f24054,f996,f206,f218,f455]) ).
thf(f24054,plain,
( ( c3
= ( g @ c8 @ c5 ) )
| ( c4
= ( g @ c8 @ c5 ) )
| spl0_12
| spl0_71 ),
inference(subsumption_resolution,[status(thm)],[f14372,f207]) ).
thf(f14372,plain,
( ( c4
= ( g @ c8 @ c5 ) )
| ( c5
= ( g @ c8 @ c5 ) )
| ( c3
= ( g @ c8 @ c5 ) )
| spl0_71 ),
inference(trivial_inequality_removal,[status(thm)],[f14369]) ).
thf(f14369,plain,
( ( c4 != c4 )
| ( c3
= ( g @ c8 @ c5 ) )
| ( c5
= ( g @ c8 @ c5 ) )
| ( c4
= ( g @ c8 @ c5 ) )
| spl0_71 ),
inference(superposition,[status(thm)],[f997,f203]) ).
thf(f997,plain,
( ( c4
!= ( g @ c8 @ ( s @ c5 ) ) )
| spl0_71 ),
inference(avatar_component_clause,[status(thm)],[f996]) ).
thf(f24026,plain,
( spl0_285
| spl0_283
| spl0_73
| spl0_282
| spl0_284 ),
inference(avatar_split_clause,[status(thm)],[f24025,f13891,f13741,f1004,f13887,f13895]) ).
thf(f24025,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_73
| spl0_282
| spl0_284 ),
inference(subsumption_resolution,[status(thm)],[f24024,f13892]) ).
thf(f24024,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_73
| spl0_282 ),
inference(subsumption_resolution,[status(thm)],[f22771,f1005]) ).
thf(f22771,plain,
( ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_282 ),
inference(trivial_inequality_removal,[status(thm)],[f22766]) ).
thf(f22766,plain,
( ( c4 != c4 )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| spl0_282 ),
inference(superposition,[status(thm)],[f13742,f939]) ).
thf(f13742,plain,
( ( c4
!= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_282 ),
inference(avatar_component_clause,[status(thm)],[f13741]) ).
thf(f24001,plain,
( spl0_9
| ~ spl0_121
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[status(thm)],[f24000]) ).
thf(f24000,plain,
( $false
| spl0_9
| ~ spl0_121
| ~ spl0_156 ),
inference(subsumption_resolution,[status(thm)],[f23999,f154]) ).
thf(f23999,plain,
( ( c1 = c2 )
| ~ spl0_121
| ~ spl0_156 ),
inference(forward_demodulation,[status(thm)],[f23998,f2472]) ).
thf(f2472,plain,
( ( c2
= ( g @ c3 @ c3 ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[status(thm)],[f2470]) ).
thf(f2470,definition,
( spl0_121
<=> ( c2
= ( g @ c3 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_121])],[avatar_definition]) ).
thf(f23998,plain,
( ( c1
= ( g @ c3 @ c3 ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[status(thm)],[f23989]) ).
thf(f23989,plain,
( ( c1
= ( g @ c3 @ c3 ) )
| ( c3 != c3 )
| ~ spl0_156 ),
inference(superposition,[status(thm)],[f71,f2704]) ).
thf(f2704,plain,
( ( c3
= ( g @ c4 @ c3 ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[status(thm)],[f2702]) ).
thf(f23947,plain,
( spl0_13
| ~ spl0_101
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[status(thm)],[f23946]) ).
thf(f23946,plain,
( $false
| spl0_13
| ~ spl0_101
| ~ spl0_289 ),
inference(subsumption_resolution,[status(thm)],[f23945,f212]) ).
thf(f23945,plain,
( ( c2 = c4 )
| ~ spl0_101
| ~ spl0_289 ),
inference(forward_demodulation,[status(thm)],[f23536,f1863]) ).
thf(f23536,plain,
( ( c2
= ( g @ c4 @ c5 ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[status(thm)],[f23526]) ).
thf(f23526,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c4 @ c5 ) )
| ~ spl0_289 ),
inference(superposition,[status(thm)],[f10,f14294]) ).
thf(f23830,plain,
( spl0_230
| spl0_233
| spl0_232
| spl0_231
| spl0_296 ),
inference(avatar_split_clause,[status(thm)],[f23829,f18439,f9082,f9086,f9090,f9078]) ).
thf(f23829,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_231
| spl0_296 ),
inference(subsumption_resolution,[status(thm)],[f23655,f9083]) ).
thf(f23655,plain,
( ( c5
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_296 ),
inference(trivial_inequality_removal,[status(thm)],[f23652]) ).
thf(f23652,plain,
( ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3 != c3 )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_296 ),
inference(superposition,[status(thm)],[f18440,f112]) ).
thf(f18440,plain,
( ( c3
!= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_296 ),
inference(avatar_component_clause,[status(thm)],[f18439]) ).
thf(f23814,plain,
( spl0_9
| ~ spl0_109
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[status(thm)],[f23813]) ).
thf(f23813,plain,
( $false
| spl0_9
| ~ spl0_109
| ~ spl0_234 ),
inference(subsumption_resolution,[status(thm)],[f23799,f154]) ).
thf(f23799,plain,
( ( c1 = c2 )
| ~ spl0_109
| ~ spl0_234 ),
inference(backward_demodulation,[status(thm)],[f23755,f9142]) ).
thf(f9142,plain,
( ( c2
= ( g @ c5 @ c5 ) )
| ~ spl0_234 ),
inference(avatar_component_clause,[status(thm)],[f9140]) ).
thf(f9140,definition,
( spl0_234
<=> ( c2
= ( g @ c5 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_234])],[avatar_definition]) ).
thf(f23755,plain,
( ( c1
= ( g @ c5 @ c5 ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[status(thm)],[f23747]) ).
thf(f23747,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c5 @ c5 ) )
| ~ spl0_109 ),
inference(superposition,[status(thm)],[f29,f2410]) ).
thf(f2410,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c5 ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[status(thm)],[f2408]) ).
thf(f23798,plain,
( spl0_234
| ~ spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f23795,f10289,f9140]) ).
thf(f10289,definition,
( spl0_242
<=> ( c4
= ( g @ c5 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_242])],[avatar_definition]) ).
thf(f23795,plain,
( ( c2
= ( g @ c5 @ c5 ) )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[status(thm)],[f23786]) ).
thf(f23786,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c5 @ c5 ) )
| ~ spl0_242 ),
inference(superposition,[status(thm)],[f10,f10291]) ).
thf(f10291,plain,
( ( c4
= ( g @ c5 @ ( s @ c5 ) ) )
| ~ spl0_242 ),
inference(avatar_component_clause,[status(thm)],[f10289]) ).
thf(f23709,plain,
( spl0_3
| ~ spl0_241
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[status(thm)],[f23708]) ).
thf(f23708,plain,
( $false
| spl0_3
| ~ spl0_241
| ~ spl0_289 ),
inference(subsumption_resolution,[status(thm)],[f23707,f125]) ).
thf(f23707,plain,
( ( c1 = c4 )
| ~ spl0_241
| ~ spl0_289 ),
inference(forward_demodulation,[status(thm)],[f23706,f14294]) ).
thf(f23706,plain,
( ( c1
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[status(thm)],[f23698]) ).
thf(f23698,plain,
( ( c1
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c3 != c3 )
| ~ spl0_241 ),
inference(superposition,[status(thm)],[f70,f10287]) ).
thf(f10287,plain,
( ( c3
= ( g @ c5 @ ( s @ c5 ) ) )
| ~ spl0_241 ),
inference(avatar_component_clause,[status(thm)],[f10285]) ).
thf(f10285,definition,
( spl0_241
<=> ( c3
= ( g @ c5 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_241])],[avatar_definition]) ).
thf(f23692,plain,
( spl0_31
| ~ spl0_245
| ~ spl0_247 ),
inference(avatar_contradiction_clause,[status(thm)],[f23691]) ).
thf(f23691,plain,
( $false
| spl0_31
| ~ spl0_245
| ~ spl0_247 ),
inference(subsumption_resolution,[status(thm)],[f23679,f321]) ).
thf(f23679,plain,
( ( c3 = c4 )
| ~ spl0_245
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f10345,f10353]) ).
thf(f10353,plain,
( ( c4
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[status(thm)],[f10351]) ).
thf(f10345,plain,
( ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_245 ),
inference(avatar_component_clause,[status(thm)],[f10343]) ).
thf(f23642,plain,
( spl0_13
| ~ spl0_235
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[status(thm)],[f23641]) ).
thf(f23641,plain,
( $false
| spl0_13
| ~ spl0_235
| ~ spl0_242 ),
inference(subsumption_resolution,[status(thm)],[f23640,f212]) ).
thf(f23640,plain,
( ( c2 = c4 )
| ~ spl0_235
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f23639,f9146]) ).
thf(f9146,plain,
( ( c4
= ( g @ c5 @ c5 ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[status(thm)],[f9144]) ).
thf(f23639,plain,
( ( c2
= ( g @ c5 @ c5 ) )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[status(thm)],[f23630]) ).
thf(f23630,plain,
( ( c2
= ( g @ c5 @ c5 ) )
| ( c4 != c4 )
| ~ spl0_242 ),
inference(superposition,[status(thm)],[f10,f10291]) ).
thf(f23553,plain,
( spl0_300
| ~ spl0_233 ),
inference(avatar_split_clause,[status(thm)],[f23552,f9090,f18662]) ).
thf(f18662,definition,
( spl0_300
<=> ( c2
= ( g @ ( s @ c5 ) @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_300])],[avatar_definition]) ).
thf(f23552,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ c5 ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[status(thm)],[f23542]) ).
thf(f23542,plain,
( ( c4 != c4 )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ c5 ) ) )
| ~ spl0_233 ),
inference(superposition,[status(thm)],[f10,f9092]) ).
thf(f9092,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_233 ),
inference(avatar_component_clause,[status(thm)],[f9090]) ).
thf(f23361,plain,
( spl0_289
| ~ spl0_210 ),
inference(avatar_split_clause,[status(thm)],[f23360,f5374,f14292]) ).
thf(f23360,plain,
( ( c4
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[status(thm)],[f23353]) ).
thf(f23353,plain,
( ( c2 != c2 )
| ( c4
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_210 ),
inference(superposition,[status(thm)],[f9,f5376]) ).
thf(f23253,plain,
( spl0_24
| ~ spl0_90
| ~ spl0_202 ),
inference(avatar_contradiction_clause,[status(thm)],[f23252]) ).
thf(f23252,plain,
( $false
| spl0_24
| ~ spl0_90
| ~ spl0_202 ),
inference(subsumption_resolution,[status(thm)],[f23251,f263]) ).
thf(f23251,plain,
( ( c3 = c2 )
| ~ spl0_90
| ~ spl0_202 ),
inference(forward_demodulation,[status(thm)],[f4377,f1816]) ).
thf(f4377,plain,
( ( c2
= ( g @ c3 @ c5 ) )
| ~ spl0_202 ),
inference(avatar_component_clause,[status(thm)],[f4375]) ).
thf(f4375,definition,
( spl0_202
<=> ( c2
= ( g @ c3 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_202])],[avatar_definition]) ).
thf(f23250,plain,
( spl0_3
| ~ spl0_122
| ~ spl0_263 ),
inference(avatar_contradiction_clause,[status(thm)],[f23249]) ).
thf(f23249,plain,
( $false
| spl0_3
| ~ spl0_122
| ~ spl0_263 ),
inference(subsumption_resolution,[status(thm)],[f23248,f125]) ).
thf(f23248,plain,
( ( c1 = c4 )
| ~ spl0_122
| ~ spl0_263 ),
inference(forward_demodulation,[status(thm)],[f23026,f11047]) ).
thf(f23026,plain,
( ( c1
= ( g @ c2 @ c4 ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[status(thm)],[f23017]) ).
thf(f23017,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c2 @ c4 ) )
| ~ spl0_122 ),
inference(superposition,[status(thm)],[f72,f2476]) ).
thf(f2476,plain,
( ( c3
= ( g @ c3 @ c4 ) )
| ~ spl0_122 ),
inference(avatar_component_clause,[status(thm)],[f2474]) ).
thf(f72,plain,
! [X0: $i] :
( ( c3
!= ( g @ c3 @ X0 ) )
| ( c1
= ( g @ c2 @ X0 ) ) ),
inference(superposition,[status(thm)],[f29,f13]) ).
thf(f22933,plain,
( spl0_96
| spl0_97
| spl0_90
| spl0_13
| spl0_98
| ~ spl0_274 ),
inference(avatar_split_clause,[status(thm)],[f22932,f12109,f1848,f210,f1814,f1844,f1839]) ).
thf(f1839,definition,
( spl0_96
<=> ( c3
= ( g @ c2 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_96])],[avatar_definition]) ).
thf(f1848,definition,
( spl0_98
<=> ( c5
= ( g @ c2 @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_98])],[avatar_definition]) ).
thf(f22932,plain,
( ( c4
= ( g @ c2 @ c5 ) )
| ( c3
= ( g @ c3 @ c5 ) )
| ( c3
= ( g @ c2 @ c5 ) )
| spl0_13
| spl0_98
| ~ spl0_274 ),
inference(subsumption_resolution,[status(thm)],[f22931,f1849]) ).
thf(f1849,plain,
( ( c5
!= ( g @ c2 @ c5 ) )
| spl0_98 ),
inference(avatar_component_clause,[status(thm)],[f1848]) ).
thf(f22931,plain,
( ( c5
= ( g @ c2 @ c5 ) )
| ( c4
= ( g @ c2 @ c5 ) )
| ( c3
= ( g @ c3 @ c5 ) )
| ( c3
= ( g @ c2 @ c5 ) )
| spl0_13
| ~ spl0_274 ),
inference(subsumption_resolution,[status(thm)],[f22704,f212]) ).
thf(f22704,plain,
( ( c2 = c4 )
| ( c5
= ( g @ c2 @ c5 ) )
| ( c3
= ( g @ c3 @ c5 ) )
| ( c3
= ( g @ c2 @ c5 ) )
| ( c4
= ( g @ c2 @ c5 ) )
| ~ spl0_274 ),
inference(superposition,[status(thm)],[f22685,f701]) ).
thf(f22685,plain,
( ( c2
= ( g @ c2 @ ( s @ c5 ) ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[status(thm)],[f22675]) ).
thf(f22675,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c2 @ ( s @ c5 ) ) )
| ~ spl0_274 ),
inference(superposition,[status(thm)],[f10,f12111]) ).
thf(f12111,plain,
( ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[status(thm)],[f12109]) ).
thf(f22925,plain,
( spl0_97
| spl0_90
| spl0_96
| spl0_98
| spl0_288 ),
inference(avatar_split_clause,[status(thm)],[f22924,f14280,f1848,f1839,f1814,f1844]) ).
thf(f14280,definition,
( spl0_288
<=> ( c4
= ( g @ c2 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_288])],[avatar_definition]) ).
thf(f22924,plain,
( ( c3
= ( g @ c3 @ c5 ) )
| ( c4
= ( g @ c2 @ c5 ) )
| ( c3
= ( g @ c2 @ c5 ) )
| spl0_98
| spl0_288 ),
inference(subsumption_resolution,[status(thm)],[f21658,f1849]) ).
thf(f21658,plain,
( ( c4
= ( g @ c2 @ c5 ) )
| ( c3
= ( g @ c3 @ c5 ) )
| ( c3
= ( g @ c2 @ c5 ) )
| ( c5
= ( g @ c2 @ c5 ) )
| spl0_288 ),
inference(trivial_inequality_removal,[status(thm)],[f21655]) ).
thf(f21655,plain,
( ( c3
= ( g @ c3 @ c5 ) )
| ( c4 != c4 )
| ( c3
= ( g @ c2 @ c5 ) )
| ( c5
= ( g @ c2 @ c5 ) )
| ( c4
= ( g @ c2 @ c5 ) )
| spl0_288 ),
inference(superposition,[status(thm)],[f14281,f701]) ).
thf(f14281,plain,
( ( c4
!= ( g @ c2 @ ( s @ c5 ) ) )
| spl0_288 ),
inference(avatar_component_clause,[status(thm)],[f14280]) ).
thf(f22921,plain,
( spl0_9
| ~ spl0_146
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[status(thm)],[f22920]) ).
thf(f22920,plain,
( $false
| spl0_9
| ~ spl0_146
| ~ spl0_148 ),
inference(subsumption_resolution,[status(thm)],[f22919,f154]) ).
thf(f22919,plain,
( ( c1 = c2 )
| ~ spl0_146
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f22918,f2634]) ).
thf(f2634,plain,
( ( c2
= ( g @ c3 @ c1 ) )
| ~ spl0_146 ),
inference(avatar_component_clause,[status(thm)],[f2632]) ).
thf(f2632,definition,
( spl0_146
<=> ( c2
= ( g @ c3 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_146])],[avatar_definition]) ).
thf(f22918,plain,
( ( c1
= ( g @ c3 @ c1 ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[status(thm)],[f22909]) ).
thf(f22909,plain,
( ( c1
= ( g @ c3 @ c1 ) )
| ( c3 != c3 )
| ~ spl0_148 ),
inference(superposition,[status(thm)],[f71,f2646]) ).
thf(f22843,plain,
( spl0_137
| spl0_204
| spl0_211
| spl0_123
| spl0_145 ),
inference(avatar_split_clause,[status(thm)],[f22064,f2628,f2480,f5437,f4742,f2565]) ).
thf(f22064,plain,
( ( c4
= ( g @ c3 @ c3 ) )
| ( c3
= ( g @ c4 @ c2 ) )
| ( c4
= ( g @ c3 @ c2 ) )
| spl0_123
| spl0_145 ),
inference(subsumption_resolution,[status(thm)],[f22063,f2481]) ).
thf(f22063,plain,
( ( c3
= ( g @ c3 @ c2 ) )
| ( c3
= ( g @ c4 @ c2 ) )
| ( c4
= ( g @ c3 @ c2 ) )
| ( c4
= ( g @ c3 @ c3 ) )
| spl0_145 ),
inference(subsumption_resolution,[status(thm)],[f12929,f2629]) ).
thf(f22838,plain,
( spl0_3
| ~ spl0_156
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[status(thm)],[f22837]) ).
thf(f22837,plain,
( $false
| spl0_3
| ~ spl0_156
| ~ spl0_211 ),
inference(subsumption_resolution,[status(thm)],[f22836,f125]) ).
thf(f22836,plain,
( ( c1 = c4 )
| ~ spl0_156
| ~ spl0_211 ),
inference(forward_demodulation,[status(thm)],[f22835,f5439]) ).
thf(f5439,plain,
( ( c4
= ( g @ c3 @ c3 ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[status(thm)],[f5437]) ).
thf(f22835,plain,
( ( c1
= ( g @ c3 @ c3 ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[status(thm)],[f22826]) ).
thf(f22826,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c3 @ c3 ) )
| ~ spl0_156 ),
inference(superposition,[status(thm)],[f71,f2704]) ).
thf(f22774,plain,
( spl0_9
| ~ spl0_274
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[status(thm)],[f22773]) ).
thf(f22773,plain,
( $false
| spl0_9
| ~ spl0_274
| ~ spl0_286 ),
inference(subsumption_resolution,[status(thm)],[f22772,f154]) ).
thf(f22772,plain,
( ( c1 = c2 )
| ~ spl0_274
| ~ spl0_286 ),
inference(forward_demodulation,[status(thm)],[f22653,f22685]) ).
thf(f22653,plain,
( ( c1
= ( g @ c2 @ ( s @ c5 ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[status(thm)],[f22644]) ).
thf(f22644,plain,
( ( c1
= ( g @ c2 @ ( s @ c5 ) ) )
| ( c3 != c3 )
| ~ spl0_286 ),
inference(superposition,[status(thm)],[f72,f14274]) ).
thf(f14274,plain,
( ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ~ spl0_286 ),
inference(avatar_component_clause,[status(thm)],[f14272]) ).
thf(f22688,plain,
( spl0_31
| ~ spl0_289
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[status(thm)],[f22687]) ).
thf(f22687,plain,
( $false
| spl0_31
| ~ spl0_289
| ~ spl0_291 ),
inference(subsumption_resolution,[status(thm)],[f22686,f321]) ).
thf(f22686,plain,
( ( c3 = c4 )
| ~ spl0_289
| ~ spl0_291 ),
inference(forward_demodulation,[status(thm)],[f14302,f14294]) ).
thf(f22528,plain,
( spl0_31
| ~ spl0_99
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[status(thm)],[f22527]) ).
thf(f22527,plain,
( $false
| spl0_31
| ~ spl0_99
| ~ spl0_235 ),
inference(subsumption_resolution,[status(thm)],[f22515,f321]) ).
thf(f22515,plain,
( ( c3 = c4 )
| ~ spl0_99
| ~ spl0_235 ),
inference(backward_demodulation,[status(thm)],[f1855,f9146]) ).
thf(f22145,plain,
( spl0_13
| ~ spl0_121
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[status(thm)],[f22144]) ).
thf(f22144,plain,
( $false
| spl0_13
| ~ spl0_121
| ~ spl0_211 ),
inference(subsumption_resolution,[status(thm)],[f22143,f212]) ).
thf(f22143,plain,
( ( c2 = c4 )
| ~ spl0_121
| ~ spl0_211 ),
inference(forward_demodulation,[status(thm)],[f2472,f5439]) ).
thf(f22142,plain,
( spl0_242
| spl0_241
| spl0_24
| spl0_243
| spl0_244
| ~ spl0_300 ),
inference(avatar_split_clause,[status(thm)],[f22141,f18662,f10297,f10293,f261,f10285,f10289]) ).
thf(f10293,definition,
( spl0_243
<=> ( c5
= ( g @ c5 @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_243])],[avatar_definition]) ).
thf(f22141,plain,
( ( c3
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c5 @ ( s @ c5 ) ) )
| spl0_24
| spl0_243
| spl0_244
| ~ spl0_300 ),
inference(subsumption_resolution,[status(thm)],[f22140,f10294]) ).
thf(f10294,plain,
( ( c5
!= ( g @ c5 @ ( s @ c5 ) ) )
| spl0_243 ),
inference(avatar_component_clause,[status(thm)],[f10293]) ).
thf(f22140,plain,
( ( c4
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c5 @ ( s @ c5 ) ) )
| spl0_24
| spl0_244
| ~ spl0_300 ),
inference(subsumption_resolution,[status(thm)],[f19779,f263]) ).
thf(f19779,plain,
( ( c3 = c2 )
| ( c4
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c5 @ ( s @ c5 ) ) )
| spl0_244
| ~ spl0_300 ),
inference(subsumption_resolution,[status(thm)],[f19770,f10298]) ).
thf(f10298,plain,
( ( c2
!= ( g @ c5 @ ( s @ c5 ) ) )
| spl0_244 ),
inference(avatar_component_clause,[status(thm)],[f10297]) ).
thf(f19770,plain,
( ( c2
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c3 = c2 )
| ~ spl0_300 ),
inference(superposition,[status(thm)],[f112,f18664]) ).
thf(f18664,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ c5 ) ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[status(thm)],[f18662]) ).
thf(f22139,plain,
( spl0_164
| spl0_31
| spl0_166
| ~ spl0_211
| spl0_263
| spl0_268 ),
inference(avatar_split_clause,[status(thm)],[f22138,f11561,f11045,f5437,f2777,f319,f2769]) ).
thf(f22138,plain,
( ( c3
= ( g @ c2 @ c3 ) )
| spl0_31
| spl0_166
| ~ spl0_211
| spl0_263
| spl0_268 ),
inference(subsumption_resolution,[status(thm)],[f22137,f321]) ).
thf(f22137,plain,
( ( c3
= ( g @ c2 @ c3 ) )
| ( c3 = c4 )
| spl0_166
| ~ spl0_211
| spl0_263
| spl0_268 ),
inference(forward_demodulation,[status(thm)],[f22136,f5439]) ).
thf(f22136,plain,
( ( c3
= ( g @ c3 @ c3 ) )
| ( c3
= ( g @ c2 @ c3 ) )
| spl0_166
| spl0_263
| spl0_268 ),
inference(subsumption_resolution,[status(thm)],[f22135,f11562]) ).
thf(f11562,plain,
( ( c4
!= ( g @ c2 @ c3 ) )
| spl0_268 ),
inference(avatar_component_clause,[status(thm)],[f11561]) ).
thf(f22135,plain,
( ( c3
= ( g @ c2 @ c3 ) )
| ( c3
= ( g @ c3 @ c3 ) )
| ( c4
= ( g @ c2 @ c3 ) )
| spl0_166
| spl0_263 ),
inference(subsumption_resolution,[status(thm)],[f18094,f11046]) ).
thf(f11046,plain,
( ( c4
!= ( g @ c2 @ c4 ) )
| spl0_263 ),
inference(avatar_component_clause,[status(thm)],[f11045]) ).
thf(f22134,plain,
( spl0_91
| spl0_264
| spl0_31
| spl0_120
| spl0_122
| ~ spl0_262 ),
inference(avatar_split_clause,[status(thm)],[f22133,f11039,f2474,f2466,f319,f11055,f1818]) ).
thf(f22133,plain,
( ( c4
= ( g @ c3 @ c5 ) )
| ( c4
= ( g @ c3 @ c4 ) )
| spl0_31
| spl0_120
| spl0_122
| ~ spl0_262 ),
inference(subsumption_resolution,[status(thm)],[f22132,f321]) ).
thf(f22132,plain,
( ( c4
= ( g @ c3 @ c4 ) )
| ( c4
= ( g @ c3 @ c5 ) )
| ( c3 = c4 )
| spl0_120
| spl0_122
| ~ spl0_262 ),
inference(forward_demodulation,[status(thm)],[f18099,f11041]) ).
thf(f11041,plain,
( ( c4
= ( g @ c4 @ c4 ) )
| ~ spl0_262 ),
inference(avatar_component_clause,[status(thm)],[f11039]) ).
thf(f18099,plain,
( ( c4
= ( g @ c3 @ c4 ) )
| ( c4
= ( g @ c3 @ c5 ) )
| ( c3
= ( g @ c4 @ c4 ) )
| spl0_120
| spl0_122 ),
inference(subsumption_resolution,[status(thm)],[f16734,f2475]) ).
thf(f22126,plain,
( spl0_31
| ~ spl0_155
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[status(thm)],[f22125]) ).
thf(f22125,plain,
( $false
| spl0_31
| ~ spl0_155
| ~ spl0_211 ),
inference(subsumption_resolution,[status(thm)],[f22110,f321]) ).
thf(f22110,plain,
( ( c3 = c4 )
| ~ spl0_155
| ~ spl0_211 ),
inference(backward_demodulation,[status(thm)],[f2700,f5439]) ).
thf(f2700,plain,
( ( c3
= ( g @ c3 @ c3 ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[status(thm)],[f2698]) ).
thf(f22059,plain,
( spl0_219
| spl0_217
| spl0_75
| spl0_136
| spl0_218 ),
inference(avatar_split_clause,[status(thm)],[f22058,f7232,f2561,f1063,f7228,f7236]) ).
thf(f7236,definition,
( spl0_219
<=> ( c2
= ( g @ c5 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_219])],[avatar_definition]) ).
thf(f1063,definition,
( spl0_75
<=> ( c3
= ( g @ ( s @ c5 ) @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_75])],[avatar_definition]) ).
thf(f7232,definition,
( spl0_218
<=> ( c5
= ( g @ c5 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_218])],[avatar_definition]) ).
thf(f22058,plain,
( ( c2
= ( g @ c5 @ c2 ) )
| ( c4
= ( g @ c5 @ c2 ) )
| spl0_75
| spl0_136
| spl0_218 ),
inference(subsumption_resolution,[status(thm)],[f22057,f7233]) ).
thf(f7233,plain,
( ( c5
!= ( g @ c5 @ c2 ) )
| spl0_218 ),
inference(avatar_component_clause,[status(thm)],[f7232]) ).
thf(f22057,plain,
( ( c2
= ( g @ c5 @ c2 ) )
| ( c4
= ( g @ c5 @ c2 ) )
| ( c5
= ( g @ c5 @ c2 ) )
| spl0_75
| spl0_136 ),
inference(subsumption_resolution,[status(thm)],[f21890,f2562]) ).
thf(f2562,plain,
( ( c3
!= ( g @ c5 @ c2 ) )
| spl0_136 ),
inference(avatar_component_clause,[status(thm)],[f2561]) ).
thf(f21890,plain,
( ( c3
= ( g @ c5 @ c2 ) )
| ( c5
= ( g @ c5 @ c2 ) )
| ( c2
= ( g @ c5 @ c2 ) )
| ( c4
= ( g @ c5 @ c2 ) )
| spl0_75 ),
inference(trivial_inequality_removal,[status(thm)],[f21888]) ).
thf(f21888,plain,
( ( c5
= ( g @ c5 @ c2 ) )
| ( c4
= ( g @ c5 @ c2 ) )
| ( c3 != c3 )
| ( c3
= ( g @ c5 @ c2 ) )
| ( c2
= ( g @ c5 @ c2 ) )
| spl0_75 ),
inference(superposition,[status(thm)],[f1064,f112]) ).
thf(f1064,plain,
( ( c3
!= ( g @ ( s @ c5 ) @ c2 ) )
| spl0_75 ),
inference(avatar_component_clause,[status(thm)],[f1063]) ).
thf(f22053,plain,
( spl0_3
| ~ spl0_213
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[status(thm)],[f22052]) ).
thf(f22052,plain,
( $false
| spl0_3
| ~ spl0_213
| ~ spl0_220 ),
inference(subsumption_resolution,[status(thm)],[f22051,f125]) ).
thf(f22051,plain,
( ( c1 = c4 )
| ~ spl0_213
| ~ spl0_220 ),
inference(forward_demodulation,[status(thm)],[f22050,f7266]) ).
thf(f7266,plain,
( ( c4
= ( g @ c5 @ c3 ) )
| ~ spl0_220 ),
inference(avatar_component_clause,[status(thm)],[f7264]) ).
thf(f7264,definition,
( spl0_220
<=> ( c4
= ( g @ c5 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_220])],[avatar_definition]) ).
thf(f22050,plain,
( ( c1
= ( g @ c5 @ c3 ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[status(thm)],[f22042]) ).
thf(f22042,plain,
( ( c1
= ( g @ c5 @ c3 ) )
| ( c3 != c3 )
| ~ spl0_213 ),
inference(superposition,[status(thm)],[f29,f7188]) ).
thf(f7188,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[status(thm)],[f7186]) ).
thf(f22029,plain,
( spl0_9
| ~ spl0_76
| ~ spl0_133 ),
inference(avatar_contradiction_clause,[status(thm)],[f22028]) ).
thf(f22028,plain,
( $false
| spl0_9
| ~ spl0_76
| ~ spl0_133 ),
inference(subsumption_resolution,[status(thm)],[f22027,f154]) ).
thf(f22027,plain,
( ( c1 = c2 )
| ~ spl0_76
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f21887,f1069]) ).
thf(f1069,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[status(thm)],[f1067]) ).
thf(f1067,definition,
( spl0_76
<=> ( c2
= ( g @ ( s @ c5 ) @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_76])],[avatar_definition]) ).
thf(f21887,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[status(thm)],[f21879]) ).
thf(f21879,plain,
( ( c3 != c3 )
| ( c1
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_133 ),
inference(superposition,[status(thm)],[f29,f2539]) ).
thf(f2539,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ~ spl0_133 ),
inference(avatar_component_clause,[status(thm)],[f2537]) ).
thf(f22009,plain,
( spl0_76
| ~ spl0_216 ),
inference(avatar_split_clause,[status(thm)],[f22006,f7198,f1067]) ).
thf(f22006,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[status(thm)],[f21996]) ).
thf(f21996,plain,
( ( c4 != c4 )
| ( c2
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_216 ),
inference(superposition,[status(thm)],[f65,f7200]) ).
thf(f7200,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[status(thm)],[f7198]) ).
thf(f65,plain,
! [X0: $i] :
( ( c4
!= ( g @ X0 @ c3 ) )
| ( c2
= ( g @ X0 @ c2 ) ) ),
inference(superposition,[status(thm)],[f10,f13]) ).
thf(f21843,plain,
( spl0_220
| ~ spl0_219 ),
inference(avatar_split_clause,[status(thm)],[f21842,f7236,f7264]) ).
thf(f21842,plain,
( ( c4
= ( g @ c5 @ c3 ) )
| ~ spl0_219 ),
inference(forward_demodulation,[status(thm)],[f21841,f13]) ).
thf(f21841,plain,
( ( c4
= ( g @ c5 @ ( s @ c2 ) ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[status(thm)],[f21834]) ).
thf(f21834,plain,
( ( c4
= ( g @ c5 @ ( s @ c2 ) ) )
| ( c2 != c2 )
| ~ spl0_219 ),
inference(superposition,[status(thm)],[f9,f7238]) ).
thf(f7238,plain,
( ( c2
= ( g @ c5 @ c2 ) )
| ~ spl0_219 ),
inference(avatar_component_clause,[status(thm)],[f7236]) ).
thf(f21768,plain,
( spl0_3
| ~ spl0_26
| ~ spl0_237 ),
inference(avatar_contradiction_clause,[status(thm)],[f21767]) ).
thf(f21767,plain,
( $false
| spl0_3
| ~ spl0_26
| ~ spl0_237 ),
inference(subsumption_resolution,[status(thm)],[f21766,f125]) ).
thf(f21766,plain,
( ( c1 = c4 )
| ~ spl0_26
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f21765,f9216]) ).
thf(f9216,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[status(thm)],[f9214]) ).
thf(f21765,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[status(thm)],[f21756]) ).
thf(f21756,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ( c3 != c3 )
| ~ spl0_26 ),
inference(superposition,[status(thm)],[f83,f273]) ).
thf(f21720,plain,
( spl0_13
| ~ spl0_237
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[status(thm)],[f21719]) ).
thf(f21719,plain,
( $false
| spl0_13
| ~ spl0_237
| ~ spl0_238 ),
inference(subsumption_resolution,[status(thm)],[f21718,f212]) ).
thf(f21718,plain,
( ( c2 = c4 )
| ~ spl0_237
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f21717,f9216]) ).
thf(f21717,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[status(thm)],[f21705]) ).
thf(f21705,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ( c4 != c4 )
| ~ spl0_238 ),
inference(superposition,[status(thm)],[f64,f9227]) ).
thf(f21481,plain,
( spl0_238
| spl0_152
| spl0_31
| ~ spl0_42
| spl0_151
| spl0_266 ),
inference(avatar_split_clause,[status(thm)],[f21480,f11102,f2677,f424,f319,f2681,f9225]) ).
thf(f21480,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_31
| ~ spl0_42
| spl0_151
| spl0_266 ),
inference(subsumption_resolution,[status(thm)],[f21479,f321]) ).
thf(f21479,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3 = c4 )
| ~ spl0_42
| spl0_151
| spl0_266 ),
inference(forward_demodulation,[status(thm)],[f21478,f426]) ).
thf(f21478,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ c8 @ c4 ) )
| spl0_151
| spl0_266 ),
inference(subsumption_resolution,[status(thm)],[f21477,f2678]) ).
thf(f21477,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ c8 @ c4 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| spl0_266 ),
inference(subsumption_resolution,[status(thm)],[f16094,f11103]) ).
thf(f11103,plain,
( ( c4
!= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| spl0_266 ),
inference(avatar_component_clause,[status(thm)],[f11102]) ).
thf(f16094,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ( c3
= ( g @ c8 @ c4 ) ) ),
inference(superposition,[status(thm)],[f939,f11]) ).
thf(f21379,plain,
( spl0_3
| ~ spl0_103
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[status(thm)],[f21378]) ).
thf(f21378,plain,
( $false
| spl0_3
| ~ spl0_103
| ~ spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f21361,f125]) ).
thf(f21361,plain,
( ( c1 = c4 )
| ~ spl0_103
| ~ spl0_152 ),
inference(backward_demodulation,[status(thm)],[f19358,f2226]) ).
thf(f2226,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c4 ) )
| ~ spl0_103 ),
inference(avatar_component_clause,[status(thm)],[f2224]) ).
thf(f2224,definition,
( spl0_103
<=> ( c4
= ( g @ ( s @ c5 ) @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_103])],[avatar_definition]) ).
thf(f19358,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c4 ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[status(thm)],[f19350]) ).
thf(f19350,plain,
( ( c3 != c3 )
| ( c1
= ( g @ ( s @ c5 ) @ c4 ) )
| ~ spl0_152 ),
inference(superposition,[status(thm)],[f29,f2683]) ).
thf(f2683,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[status(thm)],[f2681]) ).
thf(f21113,plain,
( spl0_265
| spl0_141
| spl0_142
| spl0_150 ),
inference(avatar_split_clause,[status(thm)],[f21112,f2658,f2608,f2604,f11061]) ).
thf(f2658,definition,
( spl0_150
<=> ( c2
= ( g @ c1 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_150])],[avatar_definition]) ).
thf(f21112,plain,
( ( c4
= ( g @ c1 @ c4 ) )
| spl0_141
| spl0_142
| spl0_150 ),
inference(subsumption_resolution,[status(thm)],[f21111,f2605]) ).
thf(f21111,plain,
( ( c5
= ( g @ c1 @ c4 ) )
| ( c4
= ( g @ c1 @ c4 ) )
| spl0_142
| spl0_150 ),
inference(subsumption_resolution,[status(thm)],[f21110,f2609]) ).
thf(f2609,plain,
( ( c3
!= ( g @ c2 @ c4 ) )
| spl0_142 ),
inference(avatar_component_clause,[status(thm)],[f2608]) ).
thf(f21110,plain,
( ( c3
= ( g @ c2 @ c4 ) )
| ( c5
= ( g @ c1 @ c4 ) )
| ( c4
= ( g @ c1 @ c4 ) )
| spl0_150 ),
inference(trivial_inequality_removal,[status(thm)],[f21108]) ).
thf(f21108,plain,
( ( c2 != c2 )
| ( c5
= ( g @ c1 @ c4 ) )
| ( c4
= ( g @ c1 @ c4 ) )
| ( c3
= ( g @ c2 @ c4 ) )
| spl0_150 ),
inference(superposition,[status(thm)],[f2659,f346]) ).
thf(f2659,plain,
( ( c2
!= ( g @ c1 @ c4 ) )
| spl0_150 ),
inference(avatar_component_clause,[status(thm)],[f2658]) ).
thf(f21019,plain,
( spl0_239
| spl0_203
| spl0_240
| spl0_279 ),
inference(avatar_split_clause,[status(thm)],[f21018,f13065,f9495,f4644,f9491]) ).
thf(f13065,definition,
( spl0_279
<=> ( c4
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_279])],[avatar_definition]) ).
thf(f21018,plain,
( ( c3
= ( g @ c2 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| spl0_240
| spl0_279 ),
inference(subsumption_resolution,[status(thm)],[f20956,f9496]) ).
thf(f20956,plain,
( ( c5
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c2 @ ( s @ c5 ) ) )
| spl0_279 ),
inference(trivial_inequality_removal,[status(thm)],[f20953]) ).
thf(f20953,plain,
( ( c3
= ( g @ c2 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c4 != c4 )
| ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| spl0_279 ),
inference(superposition,[status(thm)],[f13066,f376]) ).
thf(f13066,plain,
( ( c4
!= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| spl0_279 ),
inference(avatar_component_clause,[status(thm)],[f13065]) ).
thf(f21001,plain,
( spl0_1
| ~ spl0_239
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[status(thm)],[f21000]) ).
thf(f21000,plain,
( $false
| spl0_1
| ~ spl0_239
| ~ spl0_286 ),
inference(subsumption_resolution,[status(thm)],[f20999,f117]) ).
thf(f20999,plain,
( ( c1 = c3 )
| ~ spl0_239
| ~ spl0_286 ),
inference(forward_demodulation,[status(thm)],[f20998,f9493]) ).
thf(f9493,plain,
( ( c3
= ( g @ c2 @ ( s @ c5 ) ) )
| ~ spl0_239 ),
inference(avatar_component_clause,[status(thm)],[f9491]) ).
thf(f20998,plain,
( ( c1
= ( g @ c2 @ ( s @ c5 ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[status(thm)],[f20989]) ).
thf(f20989,plain,
( ( c1
= ( g @ c2 @ ( s @ c5 ) ) )
| ( c3 != c3 )
| ~ spl0_286 ),
inference(superposition,[status(thm)],[f72,f14274]) ).
thf(f20982,plain,
( spl0_291
| spl0_293
| spl0_286
| spl0_292
| spl0_294 ),
inference(avatar_split_clause,[status(thm)],[f20981,f17695,f17132,f14272,f17136,f14300]) ).
thf(f17695,definition,
( spl0_294
<=> ( c4
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_294])],[avatar_definition]) ).
thf(f20981,plain,
( ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_292
| spl0_294 ),
inference(subsumption_resolution,[status(thm)],[f20980,f17133]) ).
thf(f20980,plain,
( ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| spl0_294 ),
inference(trivial_inequality_removal,[status(thm)],[f20977]) ).
thf(f20977,plain,
( ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c4 != c4 )
| ( c5
= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_294 ),
inference(superposition,[status(thm)],[f17696,f650]) ).
thf(f17696,plain,
( ( c4
!= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| spl0_294 ),
inference(avatar_component_clause,[status(thm)],[f17695]) ).
thf(f20761,plain,
( spl0_24
| ~ spl0_142
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[status(thm)],[f20760]) ).
thf(f20760,plain,
( $false
| spl0_24
| ~ spl0_142
| ~ spl0_144 ),
inference(subsumption_resolution,[status(thm)],[f20759,f263]) ).
thf(f20759,plain,
( ( c3 = c2 )
| ~ spl0_142
| ~ spl0_144 ),
inference(forward_demodulation,[status(thm)],[f2622,f2610]) ).
thf(f2622,plain,
( ( c2
= ( g @ c2 @ c4 ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[status(thm)],[f2620]) ).
thf(f20752,plain,
( spl0_9
| ~ spl0_139
| ~ spl0_271 ),
inference(avatar_contradiction_clause,[status(thm)],[f20751]) ).
thf(f20751,plain,
( $false
| spl0_9
| ~ spl0_139
| ~ spl0_271 ),
inference(subsumption_resolution,[status(thm)],[f20750,f154]) ).
thf(f20750,plain,
( ( c1 = c2 )
| ~ spl0_139
| ~ spl0_271 ),
inference(forward_demodulation,[status(thm)],[f20739,f2586]) ).
thf(f20739,plain,
( ( c1
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[status(thm)],[f20730]) ).
thf(f20730,plain,
( ( c1
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| ( c3 != c3 )
| ~ spl0_271 ),
inference(superposition,[status(thm)],[f73,f12099]) ).
thf(f12099,plain,
( ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_271 ),
inference(avatar_component_clause,[status(thm)],[f12097]) ).
thf(f73,plain,
! [X0: $i] :
( ( c3
!= ( g @ c2 @ X0 ) )
| ( c1
= ( g @ c1 @ X0 ) ) ),
inference(superposition,[status(thm)],[f29,f25]) ).
thf(f20485,plain,
( spl0_13
| ~ spl0_91
| ~ spl0_202 ),
inference(avatar_contradiction_clause,[status(thm)],[f20484]) ).
thf(f20484,plain,
( $false
| spl0_13
| ~ spl0_91
| ~ spl0_202 ),
inference(subsumption_resolution,[status(thm)],[f20483,f212]) ).
thf(f20483,plain,
( ( c2 = c4 )
| ~ spl0_91
| ~ spl0_202 ),
inference(forward_demodulation,[status(thm)],[f4377,f1820]) ).
thf(f20480,plain,
( spl0_3
| ~ spl0_57
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[status(thm)],[f20479]) ).
thf(f20479,plain,
( $false
| spl0_3
| ~ spl0_57
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f20478,f125]) ).
thf(f20478,plain,
( ( c1 = c4 )
| ~ spl0_57
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f20477,f792]) ).
thf(f792,plain,
( ( c4
= ( g @ c2 @ c8 ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[status(thm)],[f790]) ).
thf(f790,definition,
( spl0_64
<=> ( c4
= ( g @ c2 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_64])],[avatar_definition]) ).
thf(f20477,plain,
( ( c1
= ( g @ c2 @ c8 ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[status(thm)],[f20468]) ).
thf(f20468,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c2 @ c8 ) )
| ~ spl0_57 ),
inference(superposition,[status(thm)],[f72,f662]) ).
thf(f662,plain,
( ( c3
= ( g @ c3 @ c8 ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[status(thm)],[f660]) ).
thf(f20427,plain,
( spl0_277
| spl0_54
| spl0_24
| ~ spl0_248
| spl0_275
| spl0_276 ),
inference(avatar_split_clause,[status(thm)],[f20426,f12174,f12170,f10355,f261,f613,f12178]) ).
thf(f20426,plain,
( ( c4
= ( g @ c4 @ c8 ) )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_24
| ~ spl0_248
| spl0_275
| spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f20425,f263]) ).
thf(f20425,plain,
( ( c3 = c2 )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ c8 ) )
| ~ spl0_248
| spl0_275
| spl0_276 ),
inference(forward_demodulation,[status(thm)],[f20424,f10357]) ).
thf(f10357,plain,
( ( c2
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_248 ),
inference(avatar_component_clause,[status(thm)],[f10355]) ).
thf(f20424,plain,
( ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ c8 ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| spl0_275
| spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f20423,f12171]) ).
thf(f20423,plain,
( ( c5
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ c8 ) )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f12529,f12175]) ).
thf(f12529,plain,
( ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ c8 ) )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) ) ),
inference(superposition,[status(thm)],[f599,f79]) ).
thf(f20397,plain,
( spl0_209
| spl0_24
| spl0_156
| spl0_162
| spl0_176
| ~ spl0_206 ),
inference(avatar_split_clause,[status(thm)],[f20396,f4765,f2865,f2754,f2702,f261,f5040]) ).
thf(f4765,definition,
( spl0_206
<=> ( c2
= ( g @ c5 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_206])],[avatar_definition]) ).
thf(f20396,plain,
( ( c4
= ( g @ c4 @ c3 ) )
| spl0_24
| spl0_156
| spl0_162
| spl0_176
| ~ spl0_206 ),
inference(subsumption_resolution,[status(thm)],[f20395,f263]) ).
thf(f20395,plain,
( ( c3 = c2 )
| ( c4
= ( g @ c4 @ c3 ) )
| spl0_156
| spl0_162
| spl0_176
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f20394,f4767]) ).
thf(f4767,plain,
( ( c2
= ( g @ c5 @ c3 ) )
| ~ spl0_206 ),
inference(avatar_component_clause,[status(thm)],[f4765]) ).
thf(f20394,plain,
( ( c3
= ( g @ c5 @ c3 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| spl0_156
| spl0_162
| spl0_176 ),
inference(subsumption_resolution,[status(thm)],[f20393,f2866]) ).
thf(f20393,plain,
( ( c3
= ( g @ c5 @ c3 ) )
| ( c5
= ( g @ c4 @ c3 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| spl0_156
| spl0_162 ),
inference(subsumption_resolution,[status(thm)],[f20392,f2703]) ).
thf(f2703,plain,
( ( c3
!= ( g @ c4 @ c3 ) )
| spl0_156 ),
inference(avatar_component_clause,[status(thm)],[f2702]) ).
thf(f20392,plain,
( ( c3
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| ( c5
= ( g @ c4 @ c3 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| spl0_162 ),
inference(trivial_inequality_removal,[status(thm)],[f20390]) ).
thf(f20390,plain,
( ( c2 != c2 )
| ( c3
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| ( c5
= ( g @ c4 @ c3 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| spl0_162 ),
inference(superposition,[status(thm)],[f2755,f293]) ).
thf(f20367,plain,
( spl0_13
| ~ spl0_178
| ~ spl0_259 ),
inference(avatar_contradiction_clause,[status(thm)],[f20366]) ).
thf(f20366,plain,
( $false
| spl0_13
| ~ spl0_178
| ~ spl0_259 ),
inference(subsumption_resolution,[status(thm)],[f20365,f212]) ).
thf(f20365,plain,
( ( c2 = c4 )
| ~ spl0_178
| ~ spl0_259 ),
inference(forward_demodulation,[status(thm)],[f2875,f10748]) ).
thf(f20363,plain,
( spl0_13
| ~ spl0_165
| ~ spl0_270 ),
inference(avatar_contradiction_clause,[status(thm)],[f20362]) ).
thf(f20362,plain,
( $false
| spl0_13
| ~ spl0_165
| ~ spl0_270 ),
inference(subsumption_resolution,[status(thm)],[f20347,f212]) ).
thf(f20347,plain,
( ( c2 = c4 )
| ~ spl0_165
| ~ spl0_270 ),
inference(backward_demodulation,[status(thm)],[f2775,f11986]) ).
thf(f11986,plain,
( ( c4
= ( g @ c2 @ c2 ) )
| ~ spl0_270 ),
inference(avatar_component_clause,[status(thm)],[f11984]) ).
thf(f2775,plain,
( ( c2
= ( g @ c2 @ c2 ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[status(thm)],[f2773]) ).
thf(f2773,definition,
( spl0_165
<=> ( c2
= ( g @ c2 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_165])],[avatar_definition]) ).
thf(f20322,plain,
( spl0_277
| spl0_24
| spl0_182
| ~ spl0_248
| spl0_275
| spl0_276 ),
inference(avatar_split_clause,[status(thm)],[f20321,f12174,f12170,f10355,f2949,f261,f12178]) ).
thf(f2949,definition,
( spl0_182
<=> ( c2
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_182])],[avatar_definition]) ).
thf(f20321,plain,
( ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_24
| spl0_182
| ~ spl0_248
| spl0_275
| spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f20320,f263]) ).
thf(f20320,plain,
( ( c3 = c2 )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_182
| ~ spl0_248
| spl0_275
| spl0_276 ),
inference(forward_demodulation,[status(thm)],[f20319,f10357]) ).
thf(f20319,plain,
( ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| spl0_182
| spl0_275
| spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f20318,f12171]) ).
thf(f20318,plain,
( ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_182
| spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f20317,f12175]) ).
thf(f20317,plain,
( ( c4
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_182 ),
inference(trivial_inequality_removal,[status(thm)],[f20315]) ).
thf(f20315,plain,
( ( c2 != c2 )
| ( c5
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_182 ),
inference(superposition,[status(thm)],[f2950,f293]) ).
thf(f2950,plain,
( ( c2
!= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| spl0_182 ),
inference(avatar_component_clause,[status(thm)],[f2949]) ).
thf(f20105,plain,
( spl0_9
| ~ spl0_163
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[status(thm)],[f20104]) ).
thf(f20104,plain,
( $false
| spl0_9
| ~ spl0_163
| ~ spl0_174 ),
inference(subsumption_resolution,[status(thm)],[f20103,f154]) ).
thf(f20103,plain,
( ( c1 = c2 )
| ~ spl0_163
| ~ spl0_174 ),
inference(forward_demodulation,[status(thm)],[f20102,f2829]) ).
thf(f2829,plain,
( ( c2
= ( g @ c4 @ c4 ) )
| ~ spl0_174 ),
inference(avatar_component_clause,[status(thm)],[f2827]) ).
thf(f20102,plain,
( ( c1
= ( g @ c4 @ c4 ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[status(thm)],[f20094]) ).
thf(f20094,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c4 @ c4 ) )
| ~ spl0_163 ),
inference(superposition,[status(thm)],[f70,f2760]) ).
thf(f2760,plain,
( ( c3
= ( g @ c5 @ c4 ) )
| ~ spl0_163 ),
inference(avatar_component_clause,[status(thm)],[f2758]) ).
thf(f2758,definition,
( spl0_163
<=> ( c3
= ( g @ c5 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_163])],[avatar_definition]) ).
thf(f20017,plain,
( spl0_163
| spl0_227
| spl0_226
| spl0_1
| ~ spl0_152
| spl0_228 ),
inference(avatar_split_clause,[status(thm)],[f20016,f7497,f2681,f115,f7489,f7493,f2758]) ).
thf(f7489,definition,
( spl0_226
<=> ( c4
= ( g @ c5 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_226])],[avatar_definition]) ).
thf(f7497,definition,
( spl0_228
<=> ( c5
= ( g @ c5 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_228])],[avatar_definition]) ).
thf(f20016,plain,
( ( c2
= ( g @ c5 @ c4 ) )
| ( c4
= ( g @ c5 @ c4 ) )
| ( c3
= ( g @ c5 @ c4 ) )
| spl0_1
| ~ spl0_152
| spl0_228 ),
inference(subsumption_resolution,[status(thm)],[f20015,f7498]) ).
thf(f7498,plain,
( ( c5
!= ( g @ c5 @ c4 ) )
| spl0_228 ),
inference(avatar_component_clause,[status(thm)],[f7497]) ).
thf(f20015,plain,
( ( c4
= ( g @ c5 @ c4 ) )
| ( c5
= ( g @ c5 @ c4 ) )
| ( c2
= ( g @ c5 @ c4 ) )
| ( c3
= ( g @ c5 @ c4 ) )
| spl0_1
| ~ spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f19537,f117]) ).
thf(f19537,plain,
( ( c3
= ( g @ c5 @ c4 ) )
| ( c1 = c3 )
| ( c4
= ( g @ c5 @ c4 ) )
| ( c5
= ( g @ c5 @ c4 ) )
| ( c2
= ( g @ c5 @ c4 ) )
| ~ spl0_152 ),
inference(superposition,[status(thm)],[f112,f19358]) ).
thf(f19998,plain,
( spl0_13
| ~ spl0_143
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[status(thm)],[f19997]) ).
thf(f19997,plain,
( $false
| spl0_13
| ~ spl0_143
| ~ spl0_207 ),
inference(subsumption_resolution,[status(thm)],[f19996,f212]) ).
thf(f19996,plain,
( ( c2 = c4 )
| ~ spl0_143
| ~ spl0_207 ),
inference(forward_demodulation,[status(thm)],[f2614,f4899]) ).
thf(f4899,plain,
( ( c4
= ( g @ c1 @ c3 ) )
| ~ spl0_207 ),
inference(avatar_component_clause,[status(thm)],[f4897]) ).
thf(f2614,plain,
( ( c2
= ( g @ c1 @ c3 ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[status(thm)],[f2612]) ).
thf(f2612,definition,
( spl0_143
<=> ( c2
= ( g @ c1 @ c3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_143])],[avatar_definition]) ).
thf(f19837,plain,
( spl0_274
| spl0_272
| spl0_271
| spl0_64
| spl0_273 ),
inference(avatar_split_clause,[status(thm)],[f19836,f12105,f790,f12097,f12101,f12109]) ).
thf(f19836,plain,
( ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c2 @ c8 ) )
| ( c3
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| spl0_273 ),
inference(subsumption_resolution,[status(thm)],[f14315,f12106]) ).
thf(f14315,plain,
( ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c2 @ c8 ) )
| ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) ) ),
inference(superposition,[status(thm)],[f701,f79]) ).
thf(f19799,plain,
( spl0_3
| ~ spl0_277
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[status(thm)],[f19798]) ).
thf(f19798,plain,
( $false
| spl0_3
| ~ spl0_277
| ~ spl0_294 ),
inference(subsumption_resolution,[status(thm)],[f19797,f125]) ).
thf(f19797,plain,
( ( c1 = c4 )
| ~ spl0_277
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f19585,f17697]) ).
thf(f17697,plain,
( ( c4
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_294 ),
inference(avatar_component_clause,[status(thm)],[f17695]) ).
thf(f19585,plain,
( ( c1
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[status(thm)],[f19576]) ).
thf(f19576,plain,
( ( c1
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ( c3 != c3 )
| ~ spl0_277 ),
inference(superposition,[status(thm)],[f71,f12180]) ).
thf(f19727,plain,
( spl0_13
| ~ spl0_247
| ~ spl0_248 ),
inference(avatar_contradiction_clause,[status(thm)],[f19726]) ).
thf(f19726,plain,
( $false
| spl0_13
| ~ spl0_247
| ~ spl0_248 ),
inference(subsumption_resolution,[status(thm)],[f19725,f212]) ).
thf(f19725,plain,
( ( c2 = c4 )
| ~ spl0_247
| ~ spl0_248 ),
inference(forward_demodulation,[status(thm)],[f10357,f10353]) ).
thf(f19610,plain,
( spl0_31
| spl0_286
| ~ spl0_289
| spl0_292
| spl0_293
| spl0_294 ),
inference(avatar_contradiction_clause,[status(thm)],[f19609]) ).
thf(f19609,plain,
( $false
| spl0_31
| spl0_286
| ~ spl0_289
| spl0_292
| spl0_293
| spl0_294 ),
inference(subsumption_resolution,[status(thm)],[f19608,f321]) ).
thf(f19608,plain,
( ( c3 = c4 )
| spl0_286
| ~ spl0_289
| spl0_292
| spl0_293
| spl0_294 ),
inference(forward_demodulation,[status(thm)],[f19607,f14294]) ).
thf(f19607,plain,
( ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| spl0_286
| spl0_292
| spl0_293
| spl0_294 ),
inference(subsumption_resolution,[status(thm)],[f19606,f17133]) ).
thf(f19606,plain,
( ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_286
| spl0_293
| spl0_294 ),
inference(subsumption_resolution,[status(thm)],[f19605,f17137]) ).
thf(f19605,plain,
( ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_286
| spl0_294 ),
inference(subsumption_resolution,[status(thm)],[f19604,f14273]) ).
thf(f19604,plain,
( ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| spl0_294 ),
inference(trivial_inequality_removal,[status(thm)],[f19601]) ).
thf(f19601,plain,
( ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c4 != c4 )
| ( c5
= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_294 ),
inference(superposition,[status(thm)],[f17696,f650]) ).
thf(f19475,plain,
( spl0_9
| ~ spl0_206
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[status(thm)],[f19474]) ).
thf(f19474,plain,
( $false
| spl0_9
| ~ spl0_206
| ~ spl0_213 ),
inference(subsumption_resolution,[status(thm)],[f19473,f154]) ).
thf(f19473,plain,
( ( c1 = c2 )
| ~ spl0_206
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f19470,f4767]) ).
thf(f19470,plain,
( ( c1
= ( g @ c5 @ c3 ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[status(thm)],[f19462]) ).
thf(f19462,plain,
( ( c1
= ( g @ c5 @ c3 ) )
| ( c3 != c3 )
| ~ spl0_213 ),
inference(superposition,[status(thm)],[f29,f7188]) ).
thf(f19225,plain,
( spl0_26
| spl0_42
| spl0_43
| spl0_28 ),
inference(avatar_split_clause,[status(thm)],[f15601,f279,f428,f424,f271]) ).
thf(f15601,plain,
( ( c4
= ( g @ c8 @ c3 ) )
| ( c3
= ( g @ c8 @ c3 ) )
| ( c4
= ( g @ c8 @ c4 ) )
| spl0_28 ),
inference(subsumption_resolution,[status(thm)],[f15582,f280]) ).
thf(f15582,plain,
( ( c5
= ( g @ c8 @ c3 ) )
| ( c3
= ( g @ c8 @ c3 ) )
| ( c4
= ( g @ c8 @ c4 ) )
| ( c4
= ( g @ c8 @ c3 ) ) ),
inference(superposition,[status(thm)],[f203,f30]) ).
thf(f19147,plain,
( spl0_219
| spl0_217
| spl0_1
| ~ spl0_133
| spl0_136
| spl0_218 ),
inference(avatar_split_clause,[status(thm)],[f16910,f7232,f2561,f2537,f115,f7228,f7236]) ).
thf(f16910,plain,
( ( c2
= ( g @ c5 @ c2 ) )
| ( c4
= ( g @ c5 @ c2 ) )
| spl0_1
| ~ spl0_133
| spl0_136
| spl0_218 ),
inference(subsumption_resolution,[status(thm)],[f16909,f117]) ).
thf(f16909,plain,
( ( c1 = c3 )
| ( c2
= ( g @ c5 @ c2 ) )
| ( c4
= ( g @ c5 @ c2 ) )
| ~ spl0_133
| spl0_136
| spl0_218 ),
inference(subsumption_resolution,[status(thm)],[f16908,f2562]) ).
thf(f16908,plain,
( ( c2
= ( g @ c5 @ c2 ) )
| ( c3
= ( g @ c5 @ c2 ) )
| ( c4
= ( g @ c5 @ c2 ) )
| ( c1 = c3 )
| ~ spl0_133
| spl0_218 ),
inference(subsumption_resolution,[status(thm)],[f16895,f7233]) ).
thf(f16895,plain,
( ( c5
= ( g @ c5 @ c2 ) )
| ( c1 = c3 )
| ( c4
= ( g @ c5 @ c2 ) )
| ( c3
= ( g @ c5 @ c2 ) )
| ( c2
= ( g @ c5 @ c2 ) )
| ~ spl0_133 ),
inference(superposition,[status(thm)],[f112,f16212]) ).
thf(f16212,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[status(thm)],[f16204]) ).
thf(f16204,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c2 ) )
| ( c3 != c3 )
| ~ spl0_133 ),
inference(superposition,[status(thm)],[f29,f2539]) ).
thf(f19146,plain,
( spl0_44
| spl0_30
| spl0_29 ),
inference(avatar_split_clause,[status(thm)],[f16318,f285,f289,f434]) ).
thf(f289,definition,
( spl0_30
<=> ( c3
= ( g @ c8 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_30])],[avatar_definition]) ).
thf(f285,definition,
( spl0_29
<=> ( c5
= ( g @ c8 @ c1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition]) ).
thf(f16318,plain,
( ( c3
= ( g @ c8 @ c1 ) )
| ( c4
= ( g @ c8 @ c2 ) )
| spl0_29 ),
inference(subsumption_resolution,[status(thm)],[f16317,f16]) ).
thf(f16317,plain,
( ( c4
= ( g @ c8 @ c1 ) )
| ( c3
= ( g @ c8 @ c1 ) )
| ( c4
= ( g @ c8 @ c2 ) )
| spl0_29 ),
inference(subsumption_resolution,[status(thm)],[f15584,f286]) ).
thf(f286,plain,
( ( c5
!= ( g @ c8 @ c1 ) )
| spl0_29 ),
inference(avatar_component_clause,[status(thm)],[f285]) ).
thf(f15584,plain,
( ( c4
= ( g @ c8 @ c2 ) )
| ( c5
= ( g @ c8 @ c1 ) )
| ( c4
= ( g @ c8 @ c1 ) )
| ( c3
= ( g @ c8 @ c1 ) ) ),
inference(superposition,[status(thm)],[f203,f25]) ).
thf(f19139,plain,
( spl0_3
| ~ spl0_163
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[status(thm)],[f19138]) ).
thf(f19138,plain,
( $false
| spl0_3
| ~ spl0_163
| ~ spl0_262 ),
inference(subsumption_resolution,[status(thm)],[f19137,f125]) ).
thf(f19137,plain,
( ( c1 = c4 )
| ~ spl0_163
| ~ spl0_262 ),
inference(forward_demodulation,[status(thm)],[f19136,f11041]) ).
thf(f19136,plain,
( ( c1
= ( g @ c4 @ c4 ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[status(thm)],[f19128]) ).
thf(f19128,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c4 @ c4 ) )
| ~ spl0_163 ),
inference(superposition,[status(thm)],[f70,f2760]) ).
thf(f19051,plain,
( spl0_232
| spl0_230
| spl0_233
| spl0_31
| spl0_73
| spl0_231
| spl0_283
| spl0_284
| spl0_285 ),
inference(avatar_split_clause,[status(thm)],[f19050,f13895,f13891,f13887,f9082,f1004,f319,f9090,f9078,f9086]) ).
thf(f19050,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_31
| spl0_73
| spl0_231
| spl0_283
| spl0_284
| spl0_285 ),
inference(subsumption_resolution,[status(thm)],[f19049,f13892]) ).
thf(f19049,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_31
| spl0_73
| spl0_231
| spl0_283
| spl0_285 ),
inference(subsumption_resolution,[status(thm)],[f19048,f13888]) ).
thf(f13888,plain,
( ( c4
!= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_283 ),
inference(avatar_component_clause,[status(thm)],[f13887]) ).
thf(f19048,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_31
| spl0_73
| spl0_231
| spl0_285 ),
inference(subsumption_resolution,[status(thm)],[f19047,f1005]) ).
thf(f19047,plain,
( ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_31
| spl0_231
| spl0_285 ),
inference(subsumption_resolution,[status(thm)],[f18648,f9083]) ).
thf(f18648,plain,
( ( c5
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_31
| spl0_285 ),
inference(trivial_inequality_removal,[status(thm)],[f18643]) ).
thf(f18643,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3 != c3 )
| spl0_31
| spl0_285 ),
inference(superposition,[status(thm)],[f13896,f13899]) ).
thf(f13896,plain,
( ( c3
!= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_285 ),
inference(avatar_component_clause,[status(thm)],[f13895]) ).
thf(f19040,plain,
( spl0_232
| spl0_230
| spl0_233
| spl0_31
| spl0_231
| ~ spl0_282 ),
inference(avatar_split_clause,[status(thm)],[f18801,f13741,f9082,f319,f9090,f9078,f9086]) ).
thf(f18801,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_31
| spl0_231
| ~ spl0_282 ),
inference(subsumption_resolution,[status(thm)],[f18800,f9083]) ).
thf(f18800,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| spl0_31
| ~ spl0_282 ),
inference(subsumption_resolution,[status(thm)],[f18752,f321]) ).
thf(f18752,plain,
( ( c3 = c4 )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c5
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_282 ),
inference(superposition,[status(thm)],[f13743,f112]) ).
thf(f18975,plain,
( spl0_13
| ~ spl0_55
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[status(thm)],[f18974]) ).
thf(f18974,plain,
( $false
| spl0_13
| ~ spl0_55
| ~ spl0_294 ),
inference(subsumption_resolution,[status(thm)],[f18973,f212]) ).
thf(f18973,plain,
( ( c2 = c4 )
| ~ spl0_55
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f18972,f17697]) ).
thf(f18972,plain,
( ( c2
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[status(thm)],[f18961]) ).
thf(f18961,plain,
( ( c2
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ( c4 != c4 )
| ~ spl0_55 ),
inference(superposition,[status(thm)],[f84,f654]) ).
thf(f18919,plain,
( spl0_57
| spl0_55
| spl0_1
| spl0_56
| ~ spl0_88 ),
inference(avatar_split_clause,[status(thm)],[f18918,f1461,f656,f115,f652,f660]) ).
thf(f18918,plain,
( ( c4
= ( g @ c3 @ c8 ) )
| ( c3
= ( g @ c3 @ c8 ) )
| spl0_1
| spl0_56
| ~ spl0_88 ),
inference(subsumption_resolution,[status(thm)],[f18917,f117]) ).
thf(f18917,plain,
( ( c4
= ( g @ c3 @ c8 ) )
| ( c3
= ( g @ c3 @ c8 ) )
| ( c1 = c3 )
| spl0_56
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f18916,f1463]) ).
thf(f18916,plain,
( ( c3
= ( g @ c3 @ c8 ) )
| ( c3
= ( g @ c4 @ c8 ) )
| ( c4
= ( g @ c3 @ c8 ) )
| spl0_56 ),
inference(subsumption_resolution,[status(thm)],[f18851,f16]) ).
thf(f18851,plain,
( ( c3
= ( g @ c3 @ c8 ) )
| ( c3
= ( g @ c4 @ c8 ) )
| ( c4
= ( g @ c3 @ c8 ) )
| ( c4
= ( g @ c3 @ c1 ) )
| spl0_56 ),
inference(subsumption_resolution,[status(thm)],[f12931,f657]) ).
thf(f657,plain,
( ( c5
!= ( g @ c3 @ c8 ) )
| spl0_56 ),
inference(avatar_component_clause,[status(thm)],[f656]) ).
thf(f18915,plain,
( spl0_13
| ~ spl0_41
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[status(thm)],[f18914]) ).
thf(f18914,plain,
( $false
| spl0_13
| ~ spl0_41
| ~ spl0_279 ),
inference(subsumption_resolution,[status(thm)],[f18913,f212]) ).
thf(f18913,plain,
( ( c2 = c4 )
| ~ spl0_41
| ~ spl0_279 ),
inference(forward_demodulation,[status(thm)],[f18912,f13067]) ).
thf(f13067,plain,
( ( c4
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_279 ),
inference(avatar_component_clause,[status(thm)],[f13065]) ).
thf(f18912,plain,
( ( c2
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[status(thm)],[f18900]) ).
thf(f18900,plain,
( ( c2
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| ( c4 != c4 )
| ~ spl0_41 ),
inference(superposition,[status(thm)],[f84,f389]) ).
thf(f18850,plain,
( spl0_39
| spl0_41
| spl0_40 ),
inference(avatar_split_clause,[status(thm)],[f18849,f383,f387,f379]) ).
thf(f379,definition,
( spl0_39
<=> ( c3
= ( g @ c2 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_39])],[avatar_definition]) ).
thf(f383,definition,
( spl0_40
<=> ( c5
= ( g @ c1 @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_40])],[avatar_definition]) ).
thf(f18849,plain,
( ( c3
= ( g @ c2 @ c8 ) )
| ( c4
= ( g @ c1 @ c8 ) )
| spl0_40 ),
inference(subsumption_resolution,[status(thm)],[f4055,f384]) ).
thf(f384,plain,
( ( c5
!= ( g @ c1 @ c8 ) )
| spl0_40 ),
inference(avatar_component_clause,[status(thm)],[f383]) ).
thf(f4055,plain,
( ( c5
= ( g @ c1 @ c8 ) )
| ( c4
= ( g @ c1 @ c8 ) )
| ( c3
= ( g @ c2 @ c8 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f4051]) ).
thf(f4051,plain,
( ( c2 != c2 )
| ( c4
= ( g @ c1 @ c8 ) )
| ( c3
= ( g @ c2 @ c8 ) )
| ( c5
= ( g @ c1 @ c8 ) ) ),
inference(superposition,[status(thm)],[f15,f346]) ).
thf(f18833,plain,
( spl0_3
| ~ spl0_107
| ~ spl0_260 ),
inference(avatar_contradiction_clause,[status(thm)],[f18832]) ).
thf(f18832,plain,
( $false
| spl0_3
| ~ spl0_107
| ~ spl0_260 ),
inference(subsumption_resolution,[status(thm)],[f18814,f125]) ).
thf(f18814,plain,
( ( c1 = c4 )
| ~ spl0_107
| ~ spl0_260 ),
inference(backward_demodulation,[status(thm)],[f10760,f2339]) ).
thf(f2339,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c8 ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[status(thm)],[f2337]) ).
thf(f2337,definition,
( spl0_107
<=> ( c4
= ( g @ ( s @ c5 ) @ c8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_107])],[avatar_definition]) ).
thf(f18799,plain,
( spl0_9
| ~ spl0_230
| ~ spl0_248 ),
inference(avatar_contradiction_clause,[status(thm)],[f18798]) ).
thf(f18798,plain,
( $false
| spl0_9
| ~ spl0_230
| ~ spl0_248 ),
inference(subsumption_resolution,[status(thm)],[f18784,f154]) ).
thf(f18784,plain,
( ( c1 = c2 )
| ~ spl0_230
| ~ spl0_248 ),
inference(backward_demodulation,[status(thm)],[f13643,f10357]) ).
thf(f13643,plain,
( ( c1
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[status(thm)],[f13635]) ).
thf(f13635,plain,
( ( c1
= ( g @ c5 @ ( s @ ( s @ c5 ) ) ) )
| ( c3 != c3 )
| ~ spl0_230 ),
inference(superposition,[status(thm)],[f29,f9080]) ).
thf(f9080,plain,
( ( c3
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_230 ),
inference(avatar_component_clause,[status(thm)],[f9078]) ).
thf(f18781,plain,
( spl0_24
| ~ spl0_99
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[status(thm)],[f18780]) ).
thf(f18780,plain,
( $false
| spl0_24
| ~ spl0_99
| ~ spl0_242 ),
inference(subsumption_resolution,[status(thm)],[f18779,f263]) ).
thf(f18779,plain,
( ( c3 = c2 )
| ~ spl0_99
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f18778,f1855]) ).
thf(f18778,plain,
( ( c2
= ( g @ c5 @ c5 ) )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[status(thm)],[f18769]) ).
thf(f18769,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c5 @ c5 ) )
| ~ spl0_242 ),
inference(superposition,[status(thm)],[f10,f10291]) ).
thf(f18738,plain,
( spl0_212
| spl0_224
| ~ spl0_243 ),
inference(avatar_contradiction_clause,[status(thm)],[f18737]) ).
thf(f18737,plain,
( $false
| spl0_212
| spl0_224
| ~ spl0_243 ),
inference(subsumption_resolution,[status(thm)],[f18736,f6350]) ).
thf(f6350,plain,
( ( c8 != c5 )
| spl0_212 ),
inference(avatar_component_clause,[status(thm)],[f6349]) ).
thf(f6349,definition,
( spl0_212
<=> ( c8 = c5 ) ),
introduced(definition,[new_symbols(naming,[spl0_212])],[avatar_definition]) ).
thf(f18736,plain,
( ( c8 = c5 )
| spl0_224
| ~ spl0_243 ),
inference(subsumption_resolution,[status(thm)],[f18723,f7476]) ).
thf(f7476,plain,
( ( c1
!= ( s @ c5 ) )
| spl0_224 ),
inference(avatar_component_clause,[status(thm)],[f7475]) ).
thf(f7475,definition,
( spl0_224
<=> ( c1
= ( s @ c5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_224])],[avatar_definition]) ).
thf(f18723,plain,
( ( c1
= ( s @ c5 ) )
| ( c8 = c5 )
| ~ spl0_243 ),
inference(trivial_inequality_removal,[status(thm)],[f18720]) ).
thf(f18720,plain,
( ( c1
= ( s @ c5 ) )
| ( c5 != c5 )
| ( c8 = c5 )
| ~ spl0_243 ),
inference(superposition,[status(thm)],[f22,f10295]) ).
thf(f10295,plain,
( ( c5
= ( g @ c5 @ ( s @ c5 ) ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[status(thm)],[f10293]) ).
thf(f22,plain,
! [X3: $i,X4: $i] :
( ( c5
!= ( g @ X4 @ X3 ) )
| ( c8 = X4 )
| ( c1 = X3 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f18711,plain,
( spl0_1
| ~ spl0_230
| ~ spl0_296 ),
inference(avatar_contradiction_clause,[status(thm)],[f18710]) ).
thf(f18710,plain,
( $false
| spl0_1
| ~ spl0_230
| ~ spl0_296 ),
inference(subsumption_resolution,[status(thm)],[f18709,f117]) ).
thf(f18709,plain,
( ( c1 = c3 )
| ~ spl0_230
| ~ spl0_296 ),
inference(forward_demodulation,[status(thm)],[f18696,f9080]) ).
thf(f18696,plain,
( ( c1
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_296 ),
inference(trivial_inequality_removal,[status(thm)],[f18688]) ).
thf(f18688,plain,
( ( c1
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ( c3 != c3 )
| ~ spl0_296 ),
inference(superposition,[status(thm)],[f29,f18441]) ).
thf(f18708,plain,
( spl0_31
| spl0_73
| spl0_283
| spl0_284
| spl0_285
| ~ spl0_296 ),
inference(avatar_contradiction_clause,[status(thm)],[f18707]) ).
thf(f18707,plain,
( $false
| spl0_31
| spl0_73
| spl0_283
| spl0_284
| spl0_285
| ~ spl0_296 ),
inference(subsumption_resolution,[status(thm)],[f18706,f13888]) ).
thf(f18706,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_31
| spl0_73
| spl0_284
| spl0_285
| ~ spl0_296 ),
inference(subsumption_resolution,[status(thm)],[f18705,f13892]) ).
thf(f18705,plain,
( ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_31
| spl0_73
| spl0_285
| ~ spl0_296 ),
inference(subsumption_resolution,[status(thm)],[f18704,f1005]) ).
thf(f18704,plain,
( ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| spl0_31
| spl0_285
| ~ spl0_296 ),
inference(subsumption_resolution,[status(thm)],[f18703,f13896]) ).
thf(f18703,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| spl0_31
| ~ spl0_296 ),
inference(subsumption_resolution,[status(thm)],[f18682,f321]) ).
thf(f18682,plain,
( ( c3 = c4 )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ( c3
= ( g @ c8 @ ( s @ c5 ) ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ~ spl0_296 ),
inference(superposition,[status(thm)],[f18441,f939]) ).
thf(f18434,plain,
( spl0_9
| ~ spl0_15
| ~ spl0_196 ),
inference(avatar_contradiction_clause,[status(thm)],[f18433]) ).
thf(f18433,plain,
( $false
| spl0_9
| ~ spl0_15
| ~ spl0_196 ),
inference(subsumption_resolution,[status(thm)],[f18415,f154]) ).
thf(f18415,plain,
( ( c1 = c2 )
| ~ spl0_15
| ~ spl0_196 ),
inference(backward_demodulation,[status(thm)],[f3572,f4016]) ).
thf(f3572,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[status(thm)],[f3563]) ).
thf(f3563,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ( c3 != c3 )
| ~ spl0_15 ),
inference(superposition,[status(thm)],[f83,f220]) ).
thf(f18400,plain,
( spl0_1
| ~ spl0_99
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[status(thm)],[f18399]) ).
thf(f18399,plain,
( $false
| spl0_1
| ~ spl0_99
| ~ spl0_109 ),
inference(subsumption_resolution,[status(thm)],[f18398,f117]) ).
thf(f18398,plain,
( ( c1 = c3 )
| ~ spl0_99
| ~ spl0_109 ),
inference(forward_demodulation,[status(thm)],[f18397,f1855]) ).
thf(f18397,plain,
( ( c1
= ( g @ c5 @ c5 ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[status(thm)],[f18389]) ).
thf(f18389,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c5 @ c5 ) )
| ~ spl0_109 ),
inference(superposition,[status(thm)],[f29,f2410]) ).
thf(f18301,plain,
( spl0_271
| spl0_274
| spl0_31
| spl0_167
| spl0_273
| ~ spl0_294 ),
inference(avatar_split_clause,[status(thm)],[f18300,f17695,f12105,f2786,f319,f12109,f12097]) ).
thf(f18300,plain,
( ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| spl0_31
| spl0_167
| spl0_273
| ~ spl0_294 ),
inference(subsumption_resolution,[status(thm)],[f18299,f321]) ).
thf(f18299,plain,
( ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3 = c4 )
| spl0_167
| spl0_273
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f18298,f17697]) ).
thf(f18298,plain,
( ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| spl0_167
| spl0_273 ),
inference(subsumption_resolution,[status(thm)],[f18297,f12106]) ).
thf(f18297,plain,
( ( c5
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| spl0_167 ),
inference(trivial_inequality_removal,[status(thm)],[f18295]) ).
thf(f18295,plain,
( ( c5
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c4
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ( c3
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ( c2 != c2 )
| spl0_167 ),
inference(superposition,[status(thm)],[f2787,f295]) ).
thf(f18219,plain,
( spl0_99
| spl0_100
| spl0_101
| spl0_93
| spl0_13
| ~ spl0_276 ),
inference(avatar_split_clause,[status(thm)],[f18088,f12174,f210,f1826,f1861,f1857,f1853]) ).
thf(f18088,plain,
( ( c4
= ( g @ c4 @ c5 ) )
| ( c5
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c5 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| spl0_13
| ~ spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f17746,f212]) ).
thf(f17746,plain,
( ( c2 = c4 )
| ( c5
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| ( c4
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c5 @ c5 ) )
| ~ spl0_276 ),
inference(superposition,[status(thm)],[f599,f17677]) ).
thf(f17677,plain,
( ( c2
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[status(thm)],[f17667]) ).
thf(f17667,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_276 ),
inference(superposition,[status(thm)],[f10,f12176]) ).
thf(f12176,plain,
( ( c4
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_276 ),
inference(avatar_component_clause,[status(thm)],[f12174]) ).
thf(f18191,plain,
~ spl0_100,
inference(avatar_contradiction_clause,[status(thm)],[f18190]) ).
thf(f18190,plain,
( $false
| ~ spl0_100 ),
inference(subsumption_resolution,[status(thm)],[f18189,f36]) ).
thf(f36,plain,
c5 != c1,
inference(superposition,[status(thm)],[f14,f32]) ).
thf(f18189,plain,
( ( c5 = c1 )
| ~ spl0_100 ),
inference(subsumption_resolution,[status(thm)],[f18184,f58]) ).
thf(f58,plain,
c8 != c4,
inference(forward_demodulation,[status(thm)],[f57,f30]) ).
thf(f57,plain,
( c8
!= ( s @ c3 ) ),
inference(forward_demodulation,[status(thm)],[f56,f13]) ).
thf(f56,plain,
( c8
!= ( s @ ( s @ c2 ) ) ),
inference(forward_demodulation,[status(thm)],[f51,f25]) ).
thf(f51,plain,
( c8
!= ( s @ ( s @ ( s @ c1 ) ) ) ),
inference(superposition,[status(thm)],[f24,f27]) ).
thf(f24,plain,
! [X2: $i] :
( ( s @ ( s @ ( s @ ( s @ X2 ) ) ) )
!= X2 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f18184,plain,
( ( c8 = c4 )
| ( c5 = c1 )
| ~ spl0_100 ),
inference(trivial_inequality_removal,[status(thm)],[f18179]) ).
thf(f18179,plain,
( ( c5 != c5 )
| ( c5 = c1 )
| ( c8 = c4 )
| ~ spl0_100 ),
inference(superposition,[status(thm)],[f22,f1859]) ).
thf(f1859,plain,
( ( c5
= ( g @ c4 @ c5 ) )
| ~ spl0_100 ),
inference(avatar_component_clause,[status(thm)],[f1857]) ).
thf(f18166,plain,
( spl0_101
| spl0_100
| spl0_93
| spl0_13
| spl0_31
| ~ spl0_235
| ~ spl0_276 ),
inference(avatar_split_clause,[status(thm)],[f18165,f12174,f9144,f319,f210,f1826,f1857,f1861]) ).
thf(f18165,plain,
( ( c4
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| ( c5
= ( g @ c4 @ c5 ) )
| spl0_13
| spl0_31
| ~ spl0_235
| ~ spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f18164,f321]) ).
thf(f18164,plain,
( ( c4
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| ( c5
= ( g @ c4 @ c5 ) )
| ( c3 = c4 )
| spl0_13
| ~ spl0_235
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f18106,f9146]) ).
thf(f18106,plain,
( ( c4
= ( g @ c4 @ c5 ) )
| ( c5
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| ( c3
= ( g @ c5 @ c5 ) )
| spl0_13
| ~ spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f17743,f212]) ).
thf(f17743,plain,
( ( c3
= ( g @ c5 @ c5 ) )
| ( c3
= ( g @ c4 @ c5 ) )
| ( c2 = c4 )
| ( c4
= ( g @ c4 @ c5 ) )
| ( c5
= ( g @ c4 @ c5 ) )
| ~ spl0_276 ),
inference(superposition,[status(thm)],[f17677,f599]) ).
thf(f18160,plain,
( spl0_13
| ~ spl0_101
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[status(thm)],[f18159]) ).
thf(f18159,plain,
( $false
| spl0_13
| ~ spl0_101
| ~ spl0_262 ),
inference(subsumption_resolution,[status(thm)],[f18158,f212]) ).
thf(f18158,plain,
( ( c2 = c4 )
| ~ spl0_101
| ~ spl0_262 ),
inference(forward_demodulation,[status(thm)],[f18157,f11041]) ).
thf(f18157,plain,
( ( c2
= ( g @ c4 @ c4 ) )
| ~ spl0_101 ),
inference(trivial_inequality_removal,[status(thm)],[f18147]) ).
thf(f18147,plain,
( ( c2
= ( g @ c4 @ c4 ) )
| ( c4 != c4 )
| ~ spl0_101 ),
inference(superposition,[status(thm)],[f63,f1863]) ).
thf(f18098,plain,
( spl0_268
| spl0_155
| spl0_13
| ~ spl0_144
| spl0_164
| spl0_166 ),
inference(avatar_split_clause,[status(thm)],[f18097,f2777,f2769,f2620,f210,f2698,f11561]) ).
thf(f18097,plain,
( ( c4
= ( g @ c2 @ c3 ) )
| ( c3
= ( g @ c3 @ c3 ) )
| spl0_13
| ~ spl0_144
| spl0_164
| spl0_166 ),
inference(subsumption_resolution,[status(thm)],[f18096,f212]) ).
thf(f18096,plain,
( ( c4
= ( g @ c2 @ c3 ) )
| ( c3
= ( g @ c3 @ c3 ) )
| ( c2 = c4 )
| ~ spl0_144
| spl0_164
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f18095,f2622]) ).
thf(f18095,plain,
( ( c3
= ( g @ c3 @ c3 ) )
| ( c4
= ( g @ c2 @ c3 ) )
| ( c4
= ( g @ c2 @ c4 ) )
| spl0_164
| spl0_166 ),
inference(subsumption_resolution,[status(thm)],[f18094,f2770]) ).
thf(f2770,plain,
( ( c3
!= ( g @ c2 @ c3 ) )
| spl0_164 ),
inference(avatar_component_clause,[status(thm)],[f2769]) ).
thf(f18085,plain,
( spl0_9
| ~ spl0_123
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[status(thm)],[f18084]) ).
thf(f18084,plain,
( $false
| spl0_9
| ~ spl0_123
| ~ spl0_165 ),
inference(subsumption_resolution,[status(thm)],[f18070,f154]) ).
thf(f18070,plain,
( ( c1 = c2 )
| ~ spl0_123
| ~ spl0_165 ),
inference(backward_demodulation,[status(thm)],[f16430,f2775]) ).
thf(f16430,plain,
( ( c1
= ( g @ c2 @ c2 ) )
| ~ spl0_123 ),
inference(trivial_inequality_removal,[status(thm)],[f16421]) ).
thf(f16421,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c2 @ c2 ) )
| ~ spl0_123 ),
inference(superposition,[status(thm)],[f72,f2482]) ).
thf(f2482,plain,
( ( c3
= ( g @ c3 @ c2 ) )
| ~ spl0_123 ),
inference(avatar_component_clause,[status(thm)],[f2480]) ).
thf(f18049,plain,
( spl0_13
| ~ spl0_144
| ~ spl0_263 ),
inference(avatar_contradiction_clause,[status(thm)],[f18048]) ).
thf(f18048,plain,
( $false
| spl0_13
| ~ spl0_144
| ~ spl0_263 ),
inference(subsumption_resolution,[status(thm)],[f18032,f212]) ).
thf(f18032,plain,
( ( c2 = c4 )
| ~ spl0_144
| ~ spl0_263 ),
inference(backward_demodulation,[status(thm)],[f2622,f11047]) ).
thf(f17933,plain,
( spl0_50
| spl0_224
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[status(thm)],[f17932]) ).
thf(f17932,plain,
( $false
| spl0_50
| spl0_224
| ~ spl0_240 ),
inference(subsumption_resolution,[status(thm)],[f17931,f7476]) ).
thf(f17931,plain,
( ( c1
= ( s @ c5 ) )
| spl0_50
| ~ spl0_240 ),
inference(subsumption_resolution,[status(thm)],[f17930,f480]) ).
thf(f480,plain,
( ( c8 != c1 )
| spl0_50 ),
inference(avatar_component_clause,[status(thm)],[f479]) ).
thf(f479,definition,
( spl0_50
<=> ( c8 = c1 ) ),
introduced(definition,[new_symbols(naming,[spl0_50])],[avatar_definition]) ).
thf(f17930,plain,
( ( c8 = c1 )
| ( c1
= ( s @ c5 ) )
| ~ spl0_240 ),
inference(trivial_inequality_removal,[status(thm)],[f17926]) ).
thf(f17926,plain,
( ( c5 != c5 )
| ( c1
= ( s @ c5 ) )
| ( c8 = c1 )
| ~ spl0_240 ),
inference(superposition,[status(thm)],[f22,f9497]) ).
thf(f9497,plain,
( ( c5
= ( g @ c1 @ ( s @ c5 ) ) )
| ~ spl0_240 ),
inference(avatar_component_clause,[status(thm)],[f9495]) ).
thf(f17886,plain,
( spl0_9
| ~ spl0_122
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[status(thm)],[f17885]) ).
thf(f17885,plain,
( $false
| spl0_9
| ~ spl0_122
| ~ spl0_144 ),
inference(subsumption_resolution,[status(thm)],[f17870,f154]) ).
thf(f17870,plain,
( ( c1 = c2 )
| ~ spl0_122
| ~ spl0_144 ),
inference(backward_demodulation,[status(thm)],[f16787,f2622]) ).
thf(f16787,plain,
( ( c1
= ( g @ c2 @ c4 ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[status(thm)],[f16778]) ).
thf(f16778,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c2 @ c4 ) )
| ~ spl0_122 ),
inference(superposition,[status(thm)],[f72,f2476]) ).
thf(f17784,plain,
( spl0_13
| ~ spl0_94
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[status(thm)],[f17783]) ).
thf(f17783,plain,
( $false
| spl0_13
| ~ spl0_94
| ~ spl0_203 ),
inference(subsumption_resolution,[status(thm)],[f17782,f212]) ).
thf(f17782,plain,
( ( c2 = c4 )
| ~ spl0_94
| ~ spl0_203 ),
inference(forward_demodulation,[status(thm)],[f17781,f1833]) ).
thf(f1833,plain,
( ( c4
= ( g @ c1 @ c5 ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[status(thm)],[f1831]) ).
thf(f17781,plain,
( ( c2
= ( g @ c1 @ c5 ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[status(thm)],[f17771]) ).
thf(f17771,plain,
( ( c2
= ( g @ c1 @ c5 ) )
| ( c4 != c4 )
| ~ spl0_203 ),
inference(superposition,[status(thm)],[f10,f4646]) ).
thf(f4646,plain,
( ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[status(thm)],[f4644]) ).
thf(f17768,plain,
( spl0_240
| spl0_203
| spl0_31
| spl0_279
| ~ spl0_288 ),
inference(avatar_split_clause,[status(thm)],[f17767,f14280,f13065,f319,f4644,f9495]) ).
thf(f17767,plain,
( ( c5
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| spl0_31
| spl0_279
| ~ spl0_288 ),
inference(subsumption_resolution,[status(thm)],[f17766,f321]) ).
thf(f17766,plain,
( ( c5
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c3 = c4 )
| spl0_279
| ~ spl0_288 ),
inference(forward_demodulation,[status(thm)],[f17761,f14282]) ).
thf(f14282,plain,
( ( c4
= ( g @ c2 @ ( s @ c5 ) ) )
| ~ spl0_288 ),
inference(avatar_component_clause,[status(thm)],[f14280]) ).
thf(f17761,plain,
( ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c2 @ ( s @ c5 ) ) )
| spl0_279 ),
inference(trivial_inequality_removal,[status(thm)],[f17758]) ).
thf(f17758,plain,
( ( c4
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c1 @ ( s @ c5 ) ) )
| ( c4 != c4 )
| ( c3
= ( g @ c2 @ ( s @ c5 ) ) )
| spl0_279 ),
inference(superposition,[status(thm)],[f13066,f376]) ).
thf(f17690,plain,
( spl0_291
| spl0_31
| ~ spl0_272
| spl0_286
| spl0_292
| spl0_293 ),
inference(avatar_split_clause,[status(thm)],[f17689,f17136,f17132,f14272,f12101,f319,f14300]) ).
thf(f17689,plain,
( ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| spl0_31
| ~ spl0_272
| spl0_286
| spl0_292
| spl0_293 ),
inference(subsumption_resolution,[status(thm)],[f17688,f14273]) ).
thf(f17688,plain,
( ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_31
| ~ spl0_272
| spl0_292
| spl0_293 ),
inference(subsumption_resolution,[status(thm)],[f17687,f17137]) ).
thf(f17687,plain,
( ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| spl0_31
| ~ spl0_272
| spl0_292 ),
inference(subsumption_resolution,[status(thm)],[f17686,f321]) ).
thf(f17686,plain,
( ( c3 = c4 )
| ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| ~ spl0_272
| spl0_292 ),
inference(subsumption_resolution,[status(thm)],[f17639,f17133]) ).
thf(f17639,plain,
( ( c5
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3 = c4 )
| ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_272 ),
inference(superposition,[status(thm)],[f12103,f650]) ).
thf(f17680,plain,
( spl0_24
| ~ spl0_276
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[status(thm)],[f17679]) ).
thf(f17679,plain,
( $false
| spl0_24
| ~ spl0_276
| ~ spl0_291 ),
inference(subsumption_resolution,[status(thm)],[f17678,f263]) ).
thf(f17678,plain,
( ( c3 = c2 )
| ~ spl0_276
| ~ spl0_291 ),
inference(forward_demodulation,[status(thm)],[f17677,f14302]) ).
thf(f17611,plain,
( spl0_9
| spl0_70
| ~ spl0_273 ),
inference(avatar_contradiction_clause,[status(thm)],[f17610]) ).
thf(f17610,plain,
( $false
| spl0_9
| spl0_70
| ~ spl0_273 ),
inference(subsumption_resolution,[status(thm)],[f17609,f991]) ).
thf(f991,plain,
( ( c8
!= ( s @ ( s @ c5 ) ) )
| spl0_70 ),
inference(avatar_component_clause,[status(thm)],[f990]) ).
thf(f990,definition,
( spl0_70
<=> ( c8
= ( s @ ( s @ c5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_70])],[avatar_definition]) ).
thf(f17609,plain,
( ( c8
= ( s @ ( s @ c5 ) ) )
| spl0_9
| ~ spl0_273 ),
inference(subsumption_resolution,[status(thm)],[f17608,f154]) ).
thf(f17608,plain,
( ( c1 = c2 )
| ( c8
= ( s @ ( s @ c5 ) ) )
| ~ spl0_273 ),
inference(trivial_inequality_removal,[status(thm)],[f17601]) ).
thf(f17601,plain,
( ( c1 = c2 )
| ( c8
= ( s @ ( s @ c5 ) ) )
| ( c5 != c5 )
| ~ spl0_273 ),
inference(superposition,[status(thm)],[f21,f12107]) ).
thf(f12107,plain,
( ( c5
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_273 ),
inference(avatar_component_clause,[status(thm)],[f12105]) ).
thf(f21,plain,
! [X3: $i,X4: $i] :
( ( c5
!= ( g @ X4 @ X3 ) )
| ( c1 = X4 )
| ( c8 = X3 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f17573,plain,
( spl0_3
| ~ spl0_271
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[status(thm)],[f17572]) ).
thf(f17572,plain,
( $false
| spl0_3
| ~ spl0_271
| ~ spl0_279 ),
inference(subsumption_resolution,[status(thm)],[f17571,f125]) ).
thf(f17571,plain,
( ( c1 = c4 )
| ~ spl0_271
| ~ spl0_279 ),
inference(forward_demodulation,[status(thm)],[f17156,f13067]) ).
thf(f17156,plain,
( ( c1
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[status(thm)],[f17147]) ).
thf(f17147,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c1 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_271 ),
inference(superposition,[status(thm)],[f73,f12099]) ).
thf(f17541,plain,
( spl0_1
| ~ spl0_241
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[status(thm)],[f17540]) ).
thf(f17540,plain,
( $false
| spl0_1
| ~ spl0_241
| ~ spl0_291 ),
inference(subsumption_resolution,[status(thm)],[f17539,f117]) ).
thf(f17539,plain,
( ( c1 = c3 )
| ~ spl0_241
| ~ spl0_291 ),
inference(forward_demodulation,[status(thm)],[f10313,f14302]) ).
thf(f10313,plain,
( ( c1
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[status(thm)],[f10305]) ).
thf(f10305,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_241 ),
inference(superposition,[status(thm)],[f70,f10287]) ).
thf(f17360,plain,
( spl0_13
| ~ spl0_97
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[status(thm)],[f17359]) ).
thf(f17359,plain,
( $false
| spl0_13
| ~ spl0_97
| ~ spl0_288 ),
inference(subsumption_resolution,[status(thm)],[f17341,f212]) ).
thf(f17341,plain,
( ( c2 = c4 )
| ~ spl0_97
| ~ spl0_288 ),
inference(backward_demodulation,[status(thm)],[f17255,f1846]) ).
thf(f17255,plain,
( ( c2
= ( g @ c2 @ c5 ) )
| ~ spl0_288 ),
inference(trivial_inequality_removal,[status(thm)],[f17245]) ).
thf(f17245,plain,
( ( c2
= ( g @ c2 @ c5 ) )
| ( c4 != c4 )
| ~ spl0_288 ),
inference(superposition,[status(thm)],[f10,f14282]) ).
thf(f17331,plain,
( spl0_224
| spl0_269
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[status(thm)],[f17330]) ).
thf(f17330,plain,
( $false
| spl0_224
| spl0_269
| ~ spl0_292 ),
inference(subsumption_resolution,[status(thm)],[f17329,f11923]) ).
thf(f11923,plain,
( ( c8 != c3 )
| spl0_269 ),
inference(avatar_component_clause,[status(thm)],[f11922]) ).
thf(f11922,definition,
( spl0_269
<=> ( c8 = c3 ) ),
introduced(definition,[new_symbols(naming,[spl0_269])],[avatar_definition]) ).
thf(f17329,plain,
( ( c8 = c3 )
| spl0_224
| ~ spl0_292 ),
inference(subsumption_resolution,[status(thm)],[f17328,f7476]) ).
thf(f17328,plain,
( ( c1
= ( s @ c5 ) )
| ( c8 = c3 )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[status(thm)],[f17322]) ).
thf(f17322,plain,
( ( c5 != c5 )
| ( c8 = c3 )
| ( c1
= ( s @ c5 ) )
| ~ spl0_292 ),
inference(superposition,[status(thm)],[f22,f17134]) ).
thf(f17134,plain,
( ( c5
= ( g @ c3 @ ( s @ c5 ) ) )
| ~ spl0_292 ),
inference(avatar_component_clause,[status(thm)],[f17132]) ).
thf(f17292,plain,
( spl0_202
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[status(thm)],[f17291]) ).
thf(f17291,plain,
( $false
| spl0_202
| ~ spl0_293 ),
inference(subsumption_resolution,[status(thm)],[f17290,f4376]) ).
thf(f4376,plain,
( ( c2
!= ( g @ c3 @ c5 ) )
| spl0_202 ),
inference(avatar_component_clause,[status(thm)],[f4375]) ).
thf(f17290,plain,
( ( c2
= ( g @ c3 @ c5 ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[status(thm)],[f17280]) ).
thf(f17280,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c3 @ c5 ) )
| ~ spl0_293 ),
inference(superposition,[status(thm)],[f10,f17138]) ).
thf(f17138,plain,
( ( c4
= ( g @ c3 @ ( s @ c5 ) ) )
| ~ spl0_293 ),
inference(avatar_component_clause,[status(thm)],[f17136]) ).
thf(f17125,plain,
( spl0_1
| ~ spl0_272
| ~ spl0_277 ),
inference(avatar_contradiction_clause,[status(thm)],[f17124]) ).
thf(f17124,plain,
( $false
| spl0_1
| ~ spl0_272
| ~ spl0_277 ),
inference(subsumption_resolution,[status(thm)],[f17123,f117]) ).
thf(f17123,plain,
( ( c1 = c3 )
| ~ spl0_272
| ~ spl0_277 ),
inference(forward_demodulation,[status(thm)],[f17122,f12103]) ).
thf(f17122,plain,
( ( c1
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[status(thm)],[f17113]) ).
thf(f17113,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c3 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_277 ),
inference(superposition,[status(thm)],[f71,f12180]) ).
thf(f17104,plain,
( spl0_97
| spl0_3
| spl0_90
| spl0_96
| spl0_98
| ~ spl0_286 ),
inference(avatar_split_clause,[status(thm)],[f17103,f14272,f1848,f1839,f1814,f123,f1844]) ).
thf(f17103,plain,
( ( c4
= ( g @ c2 @ c5 ) )
| spl0_3
| spl0_90
| spl0_96
| spl0_98
| ~ spl0_286 ),
inference(subsumption_resolution,[status(thm)],[f17102,f125]) ).
thf(f17102,plain,
( ( c1 = c4 )
| ( c4
= ( g @ c2 @ c5 ) )
| spl0_90
| spl0_96
| spl0_98
| ~ spl0_286 ),
inference(subsumption_resolution,[status(thm)],[f17101,f1840]) ).
thf(f1840,plain,
( ( c3
!= ( g @ c2 @ c5 ) )
| spl0_96 ),
inference(avatar_component_clause,[status(thm)],[f1839]) ).
thf(f17101,plain,
( ( c3
= ( g @ c2 @ c5 ) )
| ( c1 = c4 )
| ( c4
= ( g @ c2 @ c5 ) )
| spl0_90
| spl0_98
| ~ spl0_286 ),
inference(subsumption_resolution,[status(thm)],[f17100,f1815]) ).
thf(f1815,plain,
( ( c3
!= ( g @ c3 @ c5 ) )
| spl0_90 ),
inference(avatar_component_clause,[status(thm)],[f1814]) ).
thf(f17100,plain,
( ( c4
= ( g @ c2 @ c5 ) )
| ( c3
= ( g @ c3 @ c5 ) )
| ( c3
= ( g @ c2 @ c5 ) )
| ( c1 = c4 )
| spl0_98
| ~ spl0_286 ),
inference(subsumption_resolution,[status(thm)],[f17081,f1849]) ).
thf(f17081,plain,
( ( c5
= ( g @ c2 @ c5 ) )
| ( c4
= ( g @ c2 @ c5 ) )
| ( c3
= ( g @ c3 @ c5 ) )
| ( c3
= ( g @ c2 @ c5 ) )
| ( c1 = c4 )
| ~ spl0_286 ),
inference(superposition,[status(thm)],[f17062,f701]) ).
thf(f17062,plain,
( ( c1
= ( g @ c2 @ ( s @ c5 ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[status(thm)],[f17053]) ).
thf(f17053,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c2 @ ( s @ c5 ) ) )
| ~ spl0_286 ),
inference(superposition,[status(thm)],[f72,f14274]) ).
thf(f16959,plain,
( spl0_31
| spl0_213
| spl0_214
| spl0_215
| spl0_216
| ~ spl0_237 ),
inference(avatar_contradiction_clause,[status(thm)],[f16958]) ).
thf(f16958,plain,
( $false
| spl0_31
| spl0_213
| spl0_214
| spl0_215
| spl0_216
| ~ spl0_237 ),
inference(subsumption_resolution,[status(thm)],[f16957,f7187]) ).
thf(f16957,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_31
| spl0_214
| spl0_215
| spl0_216
| ~ spl0_237 ),
inference(subsumption_resolution,[status(thm)],[f16956,f7199]) ).
thf(f16956,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_31
| spl0_214
| spl0_215
| ~ spl0_237 ),
inference(subsumption_resolution,[status(thm)],[f16955,f7191]) ).
thf(f16955,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_31
| spl0_215
| ~ spl0_237 ),
inference(subsumption_resolution,[status(thm)],[f16954,f321]) ).
thf(f16954,plain,
( ( c3 = c4 )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| spl0_215
| ~ spl0_237 ),
inference(subsumption_resolution,[status(thm)],[f16937,f7195]) ).
thf(f16937,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c3 = c4 )
| ( c3
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c4
= ( g @ ( s @ c5 ) @ c3 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_237 ),
inference(superposition,[status(thm)],[f112,f9216]) ).
thf(f16953,plain,
( spl0_31
| ~ spl0_114
| ~ spl0_237 ),
inference(avatar_contradiction_clause,[status(thm)],[f16952]) ).
thf(f16952,plain,
( $false
| spl0_31
| ~ spl0_114
| ~ spl0_237 ),
inference(subsumption_resolution,[status(thm)],[f16929,f321]) ).
thf(f16929,plain,
( ( c3 = c4 )
| ~ spl0_114
| ~ spl0_237 ),
inference(backward_demodulation,[status(thm)],[f2436,f9216]) ).
thf(f2436,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_114 ),
inference(avatar_component_clause,[status(thm)],[f2434]) ).
thf(f16757,plain,
( spl0_3
| ~ spl0_94
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[status(thm)],[f16756]) ).
thf(f16756,plain,
( $false
| spl0_3
| ~ spl0_94
| ~ spl0_96 ),
inference(subsumption_resolution,[status(thm)],[f16740,f125]) ).
thf(f16740,plain,
( ( c1 = c4 )
| ~ spl0_94
| ~ spl0_96 ),
inference(backward_demodulation,[status(thm)],[f4295,f1833]) ).
thf(f4295,plain,
( ( c1
= ( g @ c1 @ c5 ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[status(thm)],[f4286]) ).
thf(f4286,plain,
( ( c1
= ( g @ c1 @ c5 ) )
| ( c3 != c3 )
| ~ spl0_96 ),
inference(superposition,[status(thm)],[f73,f1841]) ).
thf(f1841,plain,
( ( c3
= ( g @ c2 @ c5 ) )
| ~ spl0_96 ),
inference(avatar_component_clause,[status(thm)],[f1839]) ).
thf(f16739,plain,
( spl0_156
| spl0_177
| spl0_262
| spl0_209
| spl0_176 ),
inference(avatar_split_clause,[status(thm)],[f16738,f2865,f5040,f11039,f2869,f2702]) ).
thf(f16738,plain,
( ( c3
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| ( c4
= ( g @ c4 @ c4 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| spl0_176 ),
inference(subsumption_resolution,[status(thm)],[f12525,f2866]) ).
thf(f12525,plain,
( ( c4
= ( g @ c4 @ c4 ) )
| ( c5
= ( g @ c4 @ c3 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| ( c3
= ( g @ c4 @ c3 ) ) ),
inference(superposition,[status(thm)],[f599,f30]) ).
thf(f16732,plain,
( spl0_142
| spl0_122
| spl0_31
| ~ spl0_96
| spl0_168
| spl0_263 ),
inference(avatar_split_clause,[status(thm)],[f16731,f11045,f2792,f1839,f319,f2474,f2608]) ).
thf(f2792,definition,
( spl0_168
<=> ( c5
= ( g @ c2 @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_168])],[avatar_definition]) ).
thf(f16731,plain,
( ( c3
= ( g @ c2 @ c4 ) )
| ( c3
= ( g @ c3 @ c4 ) )
| spl0_31
| ~ spl0_96
| spl0_168
| spl0_263 ),
inference(subsumption_resolution,[status(thm)],[f16730,f321]) ).
thf(f16730,plain,
( ( c3
= ( g @ c2 @ c4 ) )
| ( c3 = c4 )
| ( c3
= ( g @ c3 @ c4 ) )
| ~ spl0_96
| spl0_168
| spl0_263 ),
inference(forward_demodulation,[status(thm)],[f16729,f1841]) ).
thf(f16729,plain,
( ( c4
= ( g @ c2 @ c5 ) )
| ( c3
= ( g @ c3 @ c4 ) )
| ( c3
= ( g @ c2 @ c4 ) )
| spl0_168
| spl0_263 ),
inference(subsumption_resolution,[status(thm)],[f16728,f11046]) ).
thf(f16728,plain,
( ( c3
= ( g @ c2 @ c4 ) )
| ( c4
= ( g @ c2 @ c5 ) )
| ( c3
= ( g @ c3 @ c4 ) )
| ( c4
= ( g @ c2 @ c4 ) )
| spl0_168 ),
inference(subsumption_resolution,[status(thm)],[f12581,f2793]) ).
thf(f2793,plain,
( ( c5
!= ( g @ c2 @ c4 ) )
| spl0_168 ),
inference(avatar_component_clause,[status(thm)],[f2792]) ).
thf(f12581,plain,
( ( c3
= ( g @ c3 @ c4 ) )
| ( c4
= ( g @ c2 @ c5 ) )
| ( c3
= ( g @ c2 @ c4 ) )
| ( c5
= ( g @ c2 @ c4 ) )
| ( c4
= ( g @ c2 @ c4 ) ) ),
inference(superposition,[status(thm)],[f701,f11]) ).
thf(f16702,plain,
( spl0_178
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[status(thm)],[f16701]) ).
thf(f16701,plain,
( $false
| spl0_178
| ~ spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f16698,f2874]) ).
thf(f2874,plain,
( ( c2
!= ( g @ c4 @ c2 ) )
| spl0_178 ),
inference(avatar_component_clause,[status(thm)],[f2873]) ).
thf(f16698,plain,
( ( c2
= ( g @ c4 @ c2 ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[status(thm)],[f16688]) ).
thf(f16688,plain,
( ( c2
= ( g @ c4 @ c2 ) )
| ( c4 != c4 )
| ~ spl0_209 ),
inference(superposition,[status(thm)],[f65,f5042]) ).
thf(f5042,plain,
( ( c4
= ( g @ c4 @ c3 ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[status(thm)],[f5040]) ).
thf(f16700,plain,
( spl0_3
| ~ spl0_177
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[status(thm)],[f16699]) ).
thf(f16699,plain,
( $false
| spl0_3
| ~ spl0_177
| ~ spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f16682,f125]) ).
thf(f16682,plain,
( ( c1 = c4 )
| ~ spl0_177
| ~ spl0_209 ),
inference(backward_demodulation,[status(thm)],[f13292,f5042]) ).
thf(f13292,plain,
( ( c1
= ( g @ c4 @ c3 ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[status(thm)],[f13284]) ).
thf(f13284,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c4 @ c3 ) )
| ~ spl0_177 ),
inference(superposition,[status(thm)],[f70,f2871]) ).
thf(f2871,plain,
( ( c3
= ( g @ c5 @ c3 ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[status(thm)],[f2869]) ).
thf(f16652,plain,
( spl0_1
| ~ spl0_170
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[status(thm)],[f16651]) ).
thf(f16651,plain,
( $false
| spl0_1
| ~ spl0_170
| ~ spl0_223 ),
inference(subsumption_resolution,[status(thm)],[f16650,f117]) ).
thf(f16650,plain,
( ( c1 = c3 )
| ~ spl0_170
| ~ spl0_223 ),
inference(forward_demodulation,[status(thm)],[f16649,f2804]) ).
thf(f2804,plain,
( ( c3
= ( g @ c5 @ c1 ) )
| ~ spl0_170 ),
inference(avatar_component_clause,[status(thm)],[f2802]) ).
thf(f16649,plain,
( ( c1
= ( g @ c5 @ c1 ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[status(thm)],[f16641]) ).
thf(f16641,plain,
( ( c1
= ( g @ c5 @ c1 ) )
| ( c3 != c3 )
| ~ spl0_223 ),
inference(superposition,[status(thm)],[f29,f7426]) ).
thf(f7426,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c1 ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[status(thm)],[f7424]) ).
thf(f16552,plain,
( spl0_3
| ~ spl0_136
| ~ spl0_259 ),
inference(avatar_contradiction_clause,[status(thm)],[f16551]) ).
thf(f16551,plain,
( $false
| spl0_3
| ~ spl0_136
| ~ spl0_259 ),
inference(subsumption_resolution,[status(thm)],[f16550,f125]) ).
thf(f16550,plain,
( ( c1 = c4 )
| ~ spl0_136
| ~ spl0_259 ),
inference(forward_demodulation,[status(thm)],[f16379,f10748]) ).
thf(f16379,plain,
( ( c1
= ( g @ c4 @ c2 ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[status(thm)],[f16371]) ).
thf(f16371,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c4 @ c2 ) )
| ~ spl0_136 ),
inference(superposition,[status(thm)],[f70,f2563]) ).
thf(f16532,plain,
( spl0_223
| spl0_222
| spl0_1
| ~ spl0_30
| spl0_221 ),
inference(avatar_split_clause,[status(thm)],[f16531,f7416,f289,f115,f7420,f7424]) ).
thf(f16531,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c1 ) )
| spl0_1
| ~ spl0_30
| spl0_221 ),
inference(subsumption_resolution,[status(thm)],[f16530,f117]) ).
thf(f16530,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c1 = c3 )
| ~ spl0_30
| spl0_221 ),
inference(subsumption_resolution,[status(thm)],[f16529,f7417]) ).
thf(f16529,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c1 = c3 )
| ~ spl0_30 ),
inference(subsumption_resolution,[status(thm)],[f16516,f16]) ).
thf(f16516,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c3
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c2
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c5
= ( g @ ( s @ c5 ) @ c1 ) )
| ( c1 = c3 )
| ~ spl0_30 ),
inference(superposition,[status(thm)],[f112,f16363]) ).
thf(f16363,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c1 ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[status(thm)],[f16353]) ).
thf(f16353,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c1 ) )
| ( c3 != c3 )
| ~ spl0_30 ),
inference(superposition,[status(thm)],[f83,f291]) ).
thf(f291,plain,
( ( c3
= ( g @ c8 @ c1 ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[status(thm)],[f289]) ).
thf(f16433,plain,
( spl0_3
| ~ spl0_123
| ~ spl0_270 ),
inference(avatar_contradiction_clause,[status(thm)],[f16432]) ).
thf(f16432,plain,
( $false
| spl0_3
| ~ spl0_123
| ~ spl0_270 ),
inference(subsumption_resolution,[status(thm)],[f16431,f125]) ).
thf(f16431,plain,
( ( c1 = c4 )
| ~ spl0_123
| ~ spl0_270 ),
inference(forward_demodulation,[status(thm)],[f16430,f11986]) ).
thf(f16402,plain,
( spl0_146
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[status(thm)],[f16401]) ).
thf(f16401,plain,
( $false
| spl0_146
| ~ spl0_204 ),
inference(subsumption_resolution,[status(thm)],[f16400,f2633]) ).
thf(f2633,plain,
( ( c2
!= ( g @ c3 @ c1 ) )
| spl0_146 ),
inference(avatar_component_clause,[status(thm)],[f2632]) ).
thf(f16400,plain,
( ( c2
= ( g @ c3 @ c1 ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[status(thm)],[f16390]) ).
thf(f16390,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c3 @ c1 ) )
| ~ spl0_204 ),
inference(superposition,[status(thm)],[f66,f4744]) ).
thf(f4744,plain,
( ( c4
= ( g @ c3 @ c2 ) )
| ~ spl0_204 ),
inference(avatar_component_clause,[status(thm)],[f4742]) ).
thf(f16321,plain,
( spl0_30
| spl0_13
| ~ spl0_27
| spl0_29 ),
inference(avatar_split_clause,[status(thm)],[f16320,f285,f275,f210,f289]) ).
thf(f275,definition,
( spl0_27
<=> ( c2
= ( g @ c8 @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition]) ).
thf(f16320,plain,
( ( c3
= ( g @ c8 @ c1 ) )
| spl0_13
| ~ spl0_27
| spl0_29 ),
inference(subsumption_resolution,[status(thm)],[f16319,f212]) ).
thf(f16319,plain,
( ( c2 = c4 )
| ( c3
= ( g @ c8 @ c1 ) )
| ~ spl0_27
| spl0_29 ),
inference(forward_demodulation,[status(thm)],[f16318,f277]) ).
thf(f277,plain,
( ( c2
= ( g @ c8 @ c2 ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[status(thm)],[f275]) ).
thf(f16303,plain,
( spl0_1
| ~ spl0_75
| ~ spl0_133 ),
inference(avatar_contradiction_clause,[status(thm)],[f16302]) ).
thf(f16302,plain,
( $false
| spl0_1
| ~ spl0_75
| ~ spl0_133 ),
inference(subsumption_resolution,[status(thm)],[f16301,f117]) ).
thf(f16301,plain,
( ( c1 = c3 )
| ~ spl0_75
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f16212,f1065]) ).
thf(f1065,plain,
( ( c3
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[status(thm)],[f1063]) ).
thf(f16188,plain,
( spl0_261
| spl0_133
| spl0_18
| spl0_31
| ~ spl0_114
| spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f16187,f2533,f2434,f319,f232,f2537,f10938]) ).
thf(f16187,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_18
| spl0_31
| ~ spl0_114
| spl0_132 ),
inference(subsumption_resolution,[status(thm)],[f16186,f321]) ).
thf(f16186,plain,
( ( c3 = c4 )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_18
| ~ spl0_114
| spl0_132 ),
inference(forward_demodulation,[status(thm)],[f16185,f2436]) ).
thf(f16185,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| spl0_18
| spl0_132 ),
inference(subsumption_resolution,[status(thm)],[f16125,f2534]) ).
thf(f16125,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| spl0_18 ),
inference(subsumption_resolution,[status(thm)],[f16096,f233]) ).
thf(f233,plain,
( ( c3
!= ( g @ c8 @ c2 ) )
| spl0_18 ),
inference(avatar_component_clause,[status(thm)],[f232]) ).
thf(f16183,plain,
( spl0_9
| ~ spl0_30
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[status(thm)],[f16182]) ).
thf(f16182,plain,
( $false
| spl0_9
| ~ spl0_30
| ~ spl0_134 ),
inference(subsumption_resolution,[status(thm)],[f16168,f154]) ).
thf(f16168,plain,
( ( c1 = c2 )
| ~ spl0_30
| ~ spl0_134 ),
inference(backward_demodulation,[status(thm)],[f3573,f2543]) ).
thf(f3573,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c1 ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[status(thm)],[f3567]) ).
thf(f3567,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ c1 ) )
| ( c3 != c3 )
| ~ spl0_30 ),
inference(superposition,[status(thm)],[f83,f291]) ).
thf(f16149,plain,
( spl0_134
| ~ spl0_261 ),
inference(avatar_split_clause,[status(thm)],[f16148,f10938,f2541]) ).
thf(f16148,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c1 ) )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[status(thm)],[f16137]) ).
thf(f16137,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c1 ) )
| ( c4 != c4 )
| ~ spl0_261 ),
inference(superposition,[status(thm)],[f66,f10940]) ).
thf(f10940,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ~ spl0_261 ),
inference(avatar_component_clause,[status(thm)],[f10938]) ).
thf(f15921,plain,
( spl0_3
| ~ spl0_74
| ~ spl0_133 ),
inference(avatar_contradiction_clause,[status(thm)],[f15920]) ).
thf(f15920,plain,
( $false
| spl0_3
| ~ spl0_74
| ~ spl0_133 ),
inference(subsumption_resolution,[status(thm)],[f15919,f125]) ).
thf(f15919,plain,
( ( c1 = c4 )
| ~ spl0_74
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f15918,f1061]) ).
thf(f1061,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[status(thm)],[f1059]) ).
thf(f1059,definition,
( spl0_74
<=> ( c4
= ( g @ ( s @ c5 ) @ c2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_74])],[avatar_definition]) ).
thf(f15918,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[status(thm)],[f15910]) ).
thf(f15910,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c2 ) )
| ( c3 != c3 )
| ~ spl0_133 ),
inference(superposition,[status(thm)],[f29,f2539]) ).
thf(f15867,plain,
( spl0_9
| spl0_70
| ~ spl0_132 ),
inference(avatar_contradiction_clause,[status(thm)],[f15866]) ).
thf(f15866,plain,
( $false
| spl0_9
| spl0_70
| ~ spl0_132 ),
inference(subsumption_resolution,[status(thm)],[f15865,f991]) ).
thf(f15865,plain,
( ( c8
= ( s @ ( s @ c5 ) ) )
| spl0_9
| ~ spl0_132 ),
inference(subsumption_resolution,[status(thm)],[f15856,f154]) ).
thf(f15856,plain,
( ( c1 = c2 )
| ( c8
= ( s @ ( s @ c5 ) ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[status(thm)],[f15852]) ).
thf(f15852,plain,
( ( c1 = c2 )
| ( c8
= ( s @ ( s @ c5 ) ) )
| ( c5 != c5 )
| ~ spl0_132 ),
inference(superposition,[status(thm)],[f22,f2535]) ).
thf(f2535,plain,
( ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c2 ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[status(thm)],[f2533]) ).
thf(f15605,plain,
( spl0_43
| ~ spl0_22
| spl0_26
| spl0_28
| spl0_31 ),
inference(avatar_split_clause,[status(thm)],[f15604,f319,f279,f271,f251,f428]) ).
thf(f15604,plain,
( ( c4
= ( g @ c8 @ c3 ) )
| ~ spl0_22
| spl0_26
| spl0_28
| spl0_31 ),
inference(subsumption_resolution,[status(thm)],[f15603,f321]) ).
thf(f15603,plain,
( ( c4
= ( g @ c8 @ c3 ) )
| ( c3 = c4 )
| ~ spl0_22
| spl0_26
| spl0_28 ),
inference(forward_demodulation,[status(thm)],[f15602,f253]) ).
thf(f15602,plain,
( ( c4
= ( g @ c8 @ c3 ) )
| ( c4
= ( g @ c8 @ c4 ) )
| spl0_26
| spl0_28 ),
inference(subsumption_resolution,[status(thm)],[f15601,f272]) ).
thf(f272,plain,
( ( c3
!= ( g @ c8 @ c3 ) )
| spl0_26 ),
inference(avatar_component_clause,[status(thm)],[f271]) ).
thf(f15480,plain,
( ~ spl0_18
| spl0_24
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[status(thm)],[f15479]) ).
thf(f15479,plain,
( $false
| ~ spl0_18
| spl0_24
| ~ spl0_27 ),
inference(subsumption_resolution,[status(thm)],[f15478,f263]) ).
thf(f15478,plain,
( ( c3 = c2 )
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f277,f234]) ).
thf(f234,plain,
( ( c3
= ( g @ c8 @ c2 ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[status(thm)],[f232]) ).
thf(f15471,plain,
( ~ spl0_28
| spl0_50
| spl0_269 ),
inference(avatar_contradiction_clause,[status(thm)],[f15470]) ).
thf(f15470,plain,
( $false
| ~ spl0_28
| spl0_50
| spl0_269 ),
inference(subsumption_resolution,[status(thm)],[f15469,f480]) ).
thf(f15469,plain,
( ( c8 = c1 )
| ~ spl0_28
| spl0_269 ),
inference(subsumption_resolution,[status(thm)],[f15468,f11923]) ).
thf(f15468,plain,
( ( c8 = c3 )
| ( c8 = c1 )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[status(thm)],[f15463]) ).
thf(f15463,plain,
( ( c8 = c3 )
| ( c5 != c5 )
| ( c8 = c1 )
| ~ spl0_28 ),
inference(superposition,[status(thm)],[f21,f281]) ).
thf(f281,plain,
( ( c5
= ( g @ c8 @ c3 ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[status(thm)],[f279]) ).
thf(f15016,plain,
( spl0_3
| ~ spl0_269 ),
inference(avatar_contradiction_clause,[status(thm)],[f15015]) ).
thf(f15015,plain,
( $false
| spl0_3
| ~ spl0_269 ),
inference(subsumption_resolution,[status(thm)],[f15014,f125]) ).
thf(f15014,plain,
( ( c1 = c4 )
| ~ spl0_269 ),
inference(forward_demodulation,[status(thm)],[f14928,f30]) ).
thf(f14928,plain,
( ( c1
= ( s @ c3 ) )
| ~ spl0_269 ),
inference(backward_demodulation,[status(thm)],[f27,f11924]) ).
thf(f11924,plain,
( ( c8 = c3 )
| ~ spl0_269 ),
inference(avatar_component_clause,[status(thm)],[f11922]) ).
thf(f14915,plain,
( spl0_269
| ~ spl0_215
| spl0_224 ),
inference(avatar_split_clause,[status(thm)],[f14914,f7475,f7194,f11922]) ).
thf(f14914,plain,
( ( c8 = c3 )
| ~ spl0_215
| spl0_224 ),
inference(subsumption_resolution,[status(thm)],[f14913,f7476]) ).
thf(f14913,plain,
( ( c8 = c3 )
| ( c1
= ( s @ c5 ) )
| ~ spl0_215 ),
inference(trivial_inequality_removal,[status(thm)],[f14906]) ).
thf(f14906,plain,
( ( c8 = c3 )
| ( c5 != c5 )
| ( c1
= ( s @ c5 ) )
| ~ spl0_215 ),
inference(superposition,[status(thm)],[f21,f7196]) ).
thf(f7196,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_215 ),
inference(avatar_component_clause,[status(thm)],[f7194]) ).
thf(f14868,plain,
( spl0_13
| ~ spl0_103
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[status(thm)],[f14867]) ).
thf(f14867,plain,
( $false
| spl0_13
| ~ spl0_103
| ~ spl0_105 ),
inference(subsumption_resolution,[status(thm)],[f14850,f212]) ).
thf(f14850,plain,
( ( c2 = c4 )
| ~ spl0_103
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f2234,f2226]) ).
thf(f2234,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c4 ) )
| ~ spl0_105 ),
inference(avatar_component_clause,[status(thm)],[f2232]) ).
thf(f2232,definition,
( spl0_105
<=> ( c2
= ( g @ ( s @ c5 ) @ c4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_105])],[avatar_definition]) ).
thf(f14808,plain,
( spl0_13
| ~ spl0_74
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[status(thm)],[f14807]) ).
thf(f14807,plain,
( $false
| spl0_13
| ~ spl0_74
| ~ spl0_216 ),
inference(subsumption_resolution,[status(thm)],[f14806,f212]) ).
thf(f14806,plain,
( ( c2 = c4 )
| ~ spl0_74
| ~ spl0_216 ),
inference(forward_demodulation,[status(thm)],[f14805,f1061]) ).
thf(f14805,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[status(thm)],[f14795]) ).
thf(f14795,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c2 ) )
| ( c4 != c4 )
| ~ spl0_216 ),
inference(superposition,[status(thm)],[f65,f7200]) ).
thf(f14643,plain,
( spl0_9
| ~ spl0_223
| ~ spl0_278 ),
inference(avatar_contradiction_clause,[status(thm)],[f14642]) ).
thf(f14642,plain,
( $false
| spl0_9
| ~ spl0_223
| ~ spl0_278 ),
inference(subsumption_resolution,[status(thm)],[f14628,f154]) ).
thf(f14628,plain,
( ( c1 = c2 )
| ~ spl0_223
| ~ spl0_278 ),
inference(backward_demodulation,[status(thm)],[f13531,f12786]) ).
thf(f12786,plain,
( ( c2
= ( g @ c5 @ c1 ) )
| ~ spl0_278 ),
inference(avatar_component_clause,[status(thm)],[f12784]) ).
thf(f13531,plain,
( ( c1
= ( g @ c5 @ c1 ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[status(thm)],[f13523]) ).
thf(f13523,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c5 @ c1 ) )
| ~ spl0_223 ),
inference(superposition,[status(thm)],[f29,f7426]) ).
thf(f14605,plain,
( spl0_1
| ~ spl0_177
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[status(thm)],[f14604]) ).
thf(f14604,plain,
( $false
| spl0_1
| ~ spl0_177
| ~ spl0_213 ),
inference(subsumption_resolution,[status(thm)],[f14603,f117]) ).
thf(f14603,plain,
( ( c1 = c3 )
| ~ spl0_177
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f14602,f2871]) ).
thf(f14602,plain,
( ( c1
= ( g @ c5 @ c3 ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[status(thm)],[f14594]) ).
thf(f14594,plain,
( ( c1
= ( g @ c5 @ c3 ) )
| ( c3 != c3 )
| ~ spl0_213 ),
inference(superposition,[status(thm)],[f29,f7188]) ).
thf(f14534,plain,
( spl0_105
| ~ spl0_110 ),
inference(avatar_split_clause,[status(thm)],[f14528,f2412,f2232]) ).
thf(f14528,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c4 ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[status(thm)],[f14518]) ).
thf(f14518,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c4 ) )
| ( c4 != c4 )
| ~ spl0_110 ),
inference(superposition,[status(thm)],[f63,f2414]) ).
thf(f2414,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c5 ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[status(thm)],[f2412]) ).
thf(f14487,plain,
( spl0_3
| ~ spl0_109
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[status(thm)],[f14486]) ).
thf(f14486,plain,
( $false
| spl0_3
| ~ spl0_109
| ~ spl0_235 ),
inference(subsumption_resolution,[status(thm)],[f14485,f125]) ).
thf(f14485,plain,
( ( c1 = c4 )
| ~ spl0_109
| ~ spl0_235 ),
inference(forward_demodulation,[status(thm)],[f14484,f9146]) ).
thf(f14484,plain,
( ( c1
= ( g @ c5 @ c5 ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[status(thm)],[f14476]) ).
thf(f14476,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c5 @ c5 ) )
| ~ spl0_109 ),
inference(superposition,[status(thm)],[f29,f2410]) ).
thf(f14167,plain,
( spl0_269
| ~ spl0_224 ),
inference(avatar_split_clause,[status(thm)],[f14166,f7475,f11922]) ).
thf(f14166,plain,
( ( c8 = c3 )
| ~ spl0_224 ),
inference(forward_demodulation,[status(thm)],[f14165,f13]) ).
thf(f14165,plain,
( ( c8
= ( s @ c2 ) )
| ~ spl0_224 ),
inference(forward_demodulation,[status(thm)],[f14053,f25]) ).
thf(f14053,plain,
( ( c8
= ( s @ ( s @ c1 ) ) )
| ~ spl0_224 ),
inference(backward_demodulation,[status(thm)],[f79,f7477]) ).
thf(f7477,plain,
( ( c1
= ( s @ c5 ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[status(thm)],[f7475]) ).
thf(f14050,plain,
( ~ spl0_111
| spl0_212 ),
inference(avatar_contradiction_clause,[status(thm)],[f14049]) ).
thf(f14049,plain,
( $false
| ~ spl0_111
| spl0_212 ),
inference(subsumption_resolution,[status(thm)],[f14048,f6350]) ).
thf(f14048,plain,
( ( c8 = c5 )
| ~ spl0_111 ),
inference(subsumption_resolution,[status(thm)],[f14039,f36]) ).
thf(f14039,plain,
( ( c5 = c1 )
| ( c8 = c5 )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[status(thm)],[f14034]) ).
thf(f14034,plain,
( ( c5 = c1 )
| ( c5 != c5 )
| ( c8 = c5 )
| ~ spl0_111 ),
inference(superposition,[status(thm)],[f20,f2418]) ).
thf(f2418,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c5 ) )
| ~ spl0_111 ),
inference(avatar_component_clause,[status(thm)],[f2416]) ).
thf(f20,plain,
! [X3: $i,X4: $i] :
( ( c5
!= ( g @ X4 @ X3 ) )
| ( c8 = X3 )
| ( c1 = X3 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f14019,plain,
( spl0_3
| ~ spl0_108
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[status(thm)],[f14018]) ).
thf(f14018,plain,
( $false
| spl0_3
| ~ spl0_108
| ~ spl0_285 ),
inference(subsumption_resolution,[status(thm)],[f14017,f125]) ).
thf(f14017,plain,
( ( c1 = c4 )
| ~ spl0_108
| ~ spl0_285 ),
inference(forward_demodulation,[status(thm)],[f14016,f9136]) ).
thf(f9136,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ c5 ) ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[status(thm)],[f9129]) ).
thf(f9129,plain,
( ( c2 != c2 )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c5 ) ) )
| ~ spl0_108 ),
inference(superposition,[status(thm)],[f9,f2406]) ).
thf(f2406,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c5 ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[status(thm)],[f2404]) ).
thf(f14016,plain,
( ( c1
= ( g @ ( s @ c5 ) @ ( s @ c5 ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[status(thm)],[f14008]) ).
thf(f14008,plain,
( ( c1
= ( g @ ( s @ c5 ) @ ( s @ c5 ) ) )
| ( c3 != c3 )
| ~ spl0_285 ),
inference(superposition,[status(thm)],[f29,f13897]) ).
thf(f13897,plain,
( ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ~ spl0_285 ),
inference(avatar_component_clause,[status(thm)],[f13895]) ).
thf(f13990,plain,
( spl0_196
| ~ spl0_283 ),
inference(avatar_split_clause,[status(thm)],[f13989,f13887,f4014]) ).
thf(f13989,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ~ spl0_283 ),
inference(trivial_inequality_removal,[status(thm)],[f13978]) ).
thf(f13978,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c5 ) )
| ( c4 != c4 )
| ~ spl0_283 ),
inference(superposition,[status(thm)],[f10,f13889]) ).
thf(f13889,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ~ spl0_283 ),
inference(avatar_component_clause,[status(thm)],[f13887]) ).
thf(f13970,plain,
( spl0_224
| spl0_70
| ~ spl0_284 ),
inference(avatar_split_clause,[status(thm)],[f13969,f13891,f990,f7475]) ).
thf(f13969,plain,
( ( c1
= ( s @ c5 ) )
| spl0_70
| ~ spl0_284 ),
inference(subsumption_resolution,[status(thm)],[f13968,f991]) ).
thf(f13968,plain,
( ( c8
= ( s @ ( s @ c5 ) ) )
| ( c1
= ( s @ c5 ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[status(thm)],[f13962]) ).
thf(f13962,plain,
( ( c5 != c5 )
| ( c1
= ( s @ c5 ) )
| ( c8
= ( s @ ( s @ c5 ) ) )
| ~ spl0_284 ),
inference(superposition,[status(thm)],[f22,f13893]) ).
thf(f13893,plain,
( ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c5 ) ) )
| ~ spl0_284 ),
inference(avatar_component_clause,[status(thm)],[f13891]) ).
thf(f13782,plain,
( spl0_24
| ~ spl0_46
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[status(thm)],[f13781]) ).
thf(f13781,plain,
( $false
| spl0_24
| ~ spl0_46
| ~ spl0_73 ),
inference(subsumption_resolution,[status(thm)],[f13780,f263]) ).
thf(f13780,plain,
( ( c3 = c2 )
| ~ spl0_46
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f13779,f1006]) ).
thf(f13764,plain,
( spl0_9
| ~ spl0_241
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[status(thm)],[f13763]) ).
thf(f13763,plain,
( $false
| spl0_9
| ~ spl0_241
| ~ spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f13749,f154]) ).
thf(f13749,plain,
( ( c1 = c2 )
| ~ spl0_241
| ~ spl0_276 ),
inference(backward_demodulation,[status(thm)],[f10313,f13727]) ).
thf(f13727,plain,
( ( c2
= ( g @ c4 @ ( s @ c5 ) ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[status(thm)],[f13717]) ).
thf(f13717,plain,
( ( c2
= ( g @ c4 @ ( s @ c5 ) ) )
| ( c4 != c4 )
| ~ spl0_276 ),
inference(superposition,[status(thm)],[f10,f12176]) ).
thf(f13730,plain,
( spl0_9
| ~ spl0_47
| ~ spl0_201 ),
inference(avatar_contradiction_clause,[status(thm)],[f13729]) ).
thf(f13729,plain,
( $false
| spl0_9
| ~ spl0_47
| ~ spl0_201 ),
inference(subsumption_resolution,[status(thm)],[f13728,f154]) ).
thf(f13728,plain,
( ( c1 = c2 )
| ~ spl0_47
| ~ spl0_201 ),
inference(forward_demodulation,[status(thm)],[f5274,f4353]) ).
thf(f5274,plain,
( ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[status(thm)],[f5265]) ).
thf(f5265,plain,
( ( c3 != c3 )
| ( c1
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_47 ),
inference(superposition,[status(thm)],[f83,f451]) ).
thf(f13702,plain,
( spl0_3
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[status(thm)],[f13701]) ).
thf(f13701,plain,
( $false
| spl0_3
| ~ spl0_275 ),
inference(subsumption_resolution,[status(thm)],[f13700,f58]) ).
thf(f13700,plain,
( ( c8 = c4 )
| spl0_3
| ~ spl0_275 ),
inference(subsumption_resolution,[status(thm)],[f13692,f125]) ).
thf(f13692,plain,
( ( c1 = c4 )
| ( c8 = c4 )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[status(thm)],[f13689]) ).
thf(f13689,plain,
( ( c1 = c4 )
| ( c5 != c5 )
| ( c8 = c4 )
| ~ spl0_275 ),
inference(superposition,[status(thm)],[f23,f12172]) ).
thf(f12172,plain,
( ( c5
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[status(thm)],[f12170]) ).
thf(f23,plain,
! [X3: $i,X4: $i] :
( ( c5
!= ( g @ X4 @ X3 ) )
| ( c1 = X4 )
| ( c8 = X4 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f13675,plain,
( spl0_1
| ~ spl0_230
| ~ spl0_245 ),
inference(avatar_contradiction_clause,[status(thm)],[f13674]) ).
thf(f13674,plain,
( $false
| spl0_1
| ~ spl0_230
| ~ spl0_245 ),
inference(subsumption_resolution,[status(thm)],[f13673,f117]) ).
thf(f13673,plain,
( ( c1 = c3 )
| ~ spl0_230
| ~ spl0_245 ),
inference(forward_demodulation,[status(thm)],[f13643,f10345]) ).
thf(f13601,plain,
( spl0_24
| ~ spl0_239
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[status(thm)],[f13600]) ).
thf(f13600,plain,
( $false
| spl0_24
| ~ spl0_239
| ~ spl0_274 ),
inference(subsumption_resolution,[status(thm)],[f13599,f263]) ).
thf(f13599,plain,
( ( c3 = c2 )
| ~ spl0_239
| ~ spl0_274 ),
inference(forward_demodulation,[status(thm)],[f13598,f9493]) ).
thf(f13598,plain,
( ( c2
= ( g @ c2 @ ( s @ c5 ) ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[status(thm)],[f13588]) ).
thf(f13588,plain,
( ( c2
= ( g @ c2 @ ( s @ c5 ) ) )
| ( c4 != c4 )
| ~ spl0_274 ),
inference(superposition,[status(thm)],[f10,f12111]) ).
thf(f13487,plain,
( spl0_103
| ~ spl0_214 ),
inference(avatar_contradiction_clause,[status(thm)],[f13486]) ).
thf(f13486,plain,
( $false
| spl0_103
| ~ spl0_214 ),
inference(subsumption_resolution,[status(thm)],[f13485,f2225]) ).
thf(f2225,plain,
( ( c4
!= ( g @ ( s @ c5 ) @ c4 ) )
| spl0_103 ),
inference(avatar_component_clause,[status(thm)],[f2224]) ).
thf(f13485,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c4 ) )
| ~ spl0_214 ),
inference(forward_demodulation,[status(thm)],[f13482,f30]) ).
thf(f13482,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ c3 ) ) )
| ~ spl0_214 ),
inference(trivial_inequality_removal,[status(thm)],[f13475]) ).
thf(f13475,plain,
( ( c2 != c2 )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ c3 ) ) )
| ~ spl0_214 ),
inference(superposition,[status(thm)],[f9,f7192]) ).
thf(f7192,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c3 ) )
| ~ spl0_214 ),
inference(avatar_component_clause,[status(thm)],[f7190]) ).
thf(f13448,plain,
( spl0_227
| spl0_228
| spl0_24
| ~ spl0_105
| spl0_163
| spl0_226 ),
inference(avatar_split_clause,[status(thm)],[f13447,f7489,f2758,f2232,f261,f7497,f7493]) ).
thf(f13447,plain,
( ( c2
= ( g @ c5 @ c4 ) )
| ( c5
= ( g @ c5 @ c4 ) )
| spl0_24
| ~ spl0_105
| spl0_163
| spl0_226 ),
inference(subsumption_resolution,[status(thm)],[f13446,f2759]) ).
thf(f2759,plain,
( ( c3
!= ( g @ c5 @ c4 ) )
| spl0_163 ),
inference(avatar_component_clause,[status(thm)],[f2758]) ).
thf(f13446,plain,
( ( c5
= ( g @ c5 @ c4 ) )
| ( c2
= ( g @ c5 @ c4 ) )
| ( c3
= ( g @ c5 @ c4 ) )
| spl0_24
| ~ spl0_105
| spl0_226 ),
inference(subsumption_resolution,[status(thm)],[f13445,f7490]) ).
thf(f7490,plain,
( ( c4
!= ( g @ c5 @ c4 ) )
| spl0_226 ),
inference(avatar_component_clause,[status(thm)],[f7489]) ).
thf(f13445,plain,
( ( c4
= ( g @ c5 @ c4 ) )
| ( c5
= ( g @ c5 @ c4 ) )
| ( c2
= ( g @ c5 @ c4 ) )
| ( c3
= ( g @ c5 @ c4 ) )
| spl0_24
| ~ spl0_105 ),
inference(subsumption_resolution,[status(thm)],[f13421,f263]) ).
thf(f13421,plain,
( ( c3 = c2 )
| ( c2
= ( g @ c5 @ c4 ) )
| ( c5
= ( g @ c5 @ c4 ) )
| ( c4
= ( g @ c5 @ c4 ) )
| ( c3
= ( g @ c5 @ c4 ) )
| ~ spl0_105 ),
inference(superposition,[status(thm)],[f2234,f112]) ).
thf(f13438,plain,
( spl0_9
| ~ spl0_105
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[status(thm)],[f13437]) ).
thf(f13437,plain,
( $false
| spl0_9
| ~ spl0_105
| ~ spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f13420,f154]) ).
thf(f13420,plain,
( ( c1 = c2 )
| ~ spl0_105
| ~ spl0_152 ),
inference(backward_demodulation,[status(thm)],[f10220,f2234]) ).
thf(f10220,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c4 ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[status(thm)],[f10212]) ).
thf(f10212,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c4 ) )
| ( c3 != c3 )
| ~ spl0_152 ),
inference(superposition,[status(thm)],[f29,f2683]) ).
thf(f13320,plain,
( spl0_31
| ~ spl0_137
| ~ spl0_259 ),
inference(avatar_contradiction_clause,[status(thm)],[f13319]) ).
thf(f13319,plain,
( $false
| spl0_31
| ~ spl0_137
| ~ spl0_259 ),
inference(subsumption_resolution,[status(thm)],[f13305,f321]) ).
thf(f13305,plain,
( ( c3 = c4 )
| ~ spl0_137
| ~ spl0_259 ),
inference(backward_demodulation,[status(thm)],[f2567,f10748]) ).
thf(f2567,plain,
( ( c3
= ( g @ c4 @ c2 ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[status(thm)],[f2565]) ).
thf(f13295,plain,
( spl0_9
| ~ spl0_162
| ~ spl0_177 ),
inference(avatar_contradiction_clause,[status(thm)],[f13294]) ).
thf(f13294,plain,
( $false
| spl0_9
| ~ spl0_162
| ~ spl0_177 ),
inference(subsumption_resolution,[status(thm)],[f13293,f154]) ).
thf(f13293,plain,
( ( c1 = c2 )
| ~ spl0_162
| ~ spl0_177 ),
inference(forward_demodulation,[status(thm)],[f13292,f2756]) ).
thf(f13239,plain,
( spl0_206
| ~ spl0_226 ),
inference(avatar_split_clause,[status(thm)],[f12998,f7489,f4765]) ).
thf(f12998,plain,
( ( c2
= ( g @ c5 @ c3 ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[status(thm)],[f12989]) ).
thf(f12989,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c5 @ c3 ) )
| ~ spl0_226 ),
inference(superposition,[status(thm)],[f64,f7491]) ).
thf(f7491,plain,
( ( c4
= ( g @ c5 @ c4 ) )
| ~ spl0_226 ),
inference(avatar_component_clause,[status(thm)],[f7489]) ).
thf(f13238,plain,
( spl0_156
| spl0_177
| spl0_31
| ~ spl0_119
| spl0_176
| spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f13237,f5040,f2865,f2462,f319,f2869,f2702]) ).
thf(f13237,plain,
( ( c3
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| spl0_31
| ~ spl0_119
| spl0_176
| spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f13236,f321]) ).
thf(f13236,plain,
( ( c3
= ( g @ c5 @ c3 ) )
| ( c3
= ( g @ c4 @ c3 ) )
| ( c3 = c4 )
| ~ spl0_119
| spl0_176
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f13226,f2464]) ).
thf(f2464,plain,
( ( c3
= ( g @ c4 @ c4 ) )
| ~ spl0_119 ),
inference(avatar_component_clause,[status(thm)],[f2462]) ).
thf(f13226,plain,
( ( c3
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| ( c4
= ( g @ c4 @ c4 ) )
| spl0_176
| spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f13225,f2866]) ).
thf(f13225,plain,
( ( c4
= ( g @ c4 @ c4 ) )
| ( c5
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f12525,f5041]) ).
thf(f5041,plain,
( ( c4
!= ( g @ c4 @ c3 ) )
| spl0_209 ),
inference(avatar_component_clause,[status(thm)],[f5040]) ).
thf(f13235,plain,
( spl0_156
| spl0_24
| spl0_31
| ~ spl0_119
| spl0_176
| ~ spl0_206
| spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f13234,f5040,f4765,f2865,f2462,f319,f261,f2702]) ).
thf(f13234,plain,
( ( c3
= ( g @ c4 @ c3 ) )
| spl0_24
| spl0_31
| ~ spl0_119
| spl0_176
| ~ spl0_206
| spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f13233,f321]) ).
thf(f13233,plain,
( ( c3 = c4 )
| ( c3
= ( g @ c4 @ c3 ) )
| spl0_24
| ~ spl0_119
| spl0_176
| ~ spl0_206
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f13232,f2464]) ).
thf(f13232,plain,
( ( c4
= ( g @ c4 @ c4 ) )
| ( c3
= ( g @ c4 @ c3 ) )
| spl0_24
| spl0_176
| ~ spl0_206
| spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f13231,f263]) ).
thf(f13231,plain,
( ( c4
= ( g @ c4 @ c4 ) )
| ( c3
= ( g @ c4 @ c3 ) )
| ( c3 = c2 )
| spl0_176
| ~ spl0_206
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f13226,f4767]) ).
thf(f13196,plain,
( spl0_269
| spl0_9
| ~ spl0_166 ),
inference(avatar_split_clause,[status(thm)],[f13195,f2777,f152,f11922]) ).
thf(f13195,plain,
( ( c8 = c3 )
| spl0_9
| ~ spl0_166 ),
inference(subsumption_resolution,[status(thm)],[f13194,f154]) ).
thf(f13194,plain,
( ( c1 = c2 )
| ( c8 = c3 )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[status(thm)],[f13187]) ).
thf(f13187,plain,
( ( c5 != c5 )
| ( c1 = c2 )
| ( c8 = c3 )
| ~ spl0_166 ),
inference(superposition,[status(thm)],[f21,f2779]) ).
thf(f2779,plain,
( ( c5
= ( g @ c2 @ c3 ) )
| ~ spl0_166 ),
inference(avatar_component_clause,[status(thm)],[f2777]) ).
thf(f13170,plain,
( spl0_3
| ~ spl0_164
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[status(thm)],[f13169]) ).
thf(f13169,plain,
( $false
| spl0_3
| ~ spl0_164
| ~ spl0_207 ),
inference(subsumption_resolution,[status(thm)],[f13153,f125]) ).
thf(f13153,plain,
( ( c1 = c4 )
| ~ spl0_164
| ~ spl0_207 ),
inference(backward_demodulation,[status(thm)],[f11977,f4899]) ).
thf(f11977,plain,
( ( c1
= ( g @ c1 @ c3 ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[status(thm)],[f11968]) ).
thf(f11968,plain,
( ( c1
= ( g @ c1 @ c3 ) )
| ( c3 != c3 )
| ~ spl0_164 ),
inference(superposition,[status(thm)],[f73,f2771]) ).
thf(f2771,plain,
( ( c3
= ( g @ c2 @ c3 ) )
| ~ spl0_164 ),
inference(avatar_component_clause,[status(thm)],[f2769]) ).
thf(f13033,plain,
( spl0_148
| spl0_171
| spl0_31
| ~ spl0_137
| spl0_170 ),
inference(avatar_split_clause,[status(thm)],[f13032,f2802,f2565,f319,f2806,f2644]) ).
thf(f13032,plain,
( ( c3
= ( g @ c4 @ c1 ) )
| ( c5
= ( g @ c4 @ c1 ) )
| spl0_31
| ~ spl0_137
| spl0_170 ),
inference(subsumption_resolution,[status(thm)],[f13031,f321]) ).
thf(f13031,plain,
( ( c5
= ( g @ c4 @ c1 ) )
| ( c3
= ( g @ c4 @ c1 ) )
| ( c3 = c4 )
| ~ spl0_137
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f13030,f2567]) ).
thf(f13030,plain,
( ( c4
= ( g @ c4 @ c2 ) )
| ( c5
= ( g @ c4 @ c1 ) )
| ( c3
= ( g @ c4 @ c1 ) )
| spl0_170 ),
inference(subsumption_resolution,[status(thm)],[f12807,f2803]) ).
thf(f2803,plain,
( ( c3
!= ( g @ c5 @ c1 ) )
| spl0_170 ),
inference(avatar_component_clause,[status(thm)],[f2802]) ).
thf(f13021,plain,
( spl0_3
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[status(thm)],[f13020]) ).
thf(f13020,plain,
( $false
| spl0_3
| ~ spl0_171 ),
inference(subsumption_resolution,[status(thm)],[f13019,f58]) ).
thf(f13019,plain,
( ( c8 = c4 )
| spl0_3
| ~ spl0_171 ),
inference(subsumption_resolution,[status(thm)],[f13018,f125]) ).
thf(f13018,plain,
( ( c1 = c4 )
| ( c8 = c4 )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[status(thm)],[f13015]) ).
thf(f13015,plain,
( ( c8 = c4 )
| ( c5 != c5 )
| ( c1 = c4 )
| ~ spl0_171 ),
inference(superposition,[status(thm)],[f23,f2808]) ).
thf(f2808,plain,
( ( c5
= ( g @ c4 @ c1 ) )
| ~ spl0_171 ),
inference(avatar_component_clause,[status(thm)],[f2806]) ).
thf(f12793,plain,
( spl0_219
| spl0_217
| spl0_31
| ~ spl0_74
| spl0_136
| spl0_218 ),
inference(avatar_split_clause,[status(thm)],[f12792,f7232,f2561,f1059,f319,f7228,f7236]) ).
thf(f12792,plain,
( ( c2
= ( g @ c5 @ c2 ) )
| ( c4
= ( g @ c5 @ c2 ) )
| spl0_31
| ~ spl0_74
| spl0_136
| spl0_218 ),
inference(subsumption_resolution,[status(thm)],[f12791,f321]) ).
thf(f12791,plain,
( ( c3 = c4 )
| ( c4
= ( g @ c5 @ c2 ) )
| ( c2
= ( g @ c5 @ c2 ) )
| ~ spl0_74
| spl0_136
| spl0_218 ),
inference(subsumption_resolution,[status(thm)],[f12790,f7233]) ).
thf(f12790,plain,
( ( c5
= ( g @ c5 @ c2 ) )
| ( c3 = c4 )
| ( c4
= ( g @ c5 @ c2 ) )
| ( c2
= ( g @ c5 @ c2 ) )
| ~ spl0_74
| spl0_136 ),
inference(subsumption_resolution,[status(thm)],[f9787,f2562]) ).
thf(f9787,plain,
( ( c2
= ( g @ c5 @ c2 ) )
| ( c4
= ( g @ c5 @ c2 ) )
| ( c3
= ( g @ c5 @ c2 ) )
| ( c5
= ( g @ c5 @ c2 ) )
| ( c3 = c4 )
| ~ spl0_74 ),
inference(superposition,[status(thm)],[f112,f1061]) ).
thf(f12759,plain,
( spl0_121
| ~ spl0_264 ),
inference(avatar_contradiction_clause,[status(thm)],[f12758]) ).
thf(f12758,plain,
( $false
| spl0_121
| ~ spl0_264 ),
inference(subsumption_resolution,[status(thm)],[f12757,f2471]) ).
thf(f2471,plain,
( ( c2
!= ( g @ c3 @ c3 ) )
| spl0_121 ),
inference(avatar_component_clause,[status(thm)],[f2470]) ).
thf(f12757,plain,
( ( c2
= ( g @ c3 @ c3 ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[status(thm)],[f12746]) ).
thf(f12746,plain,
( ( c2
= ( g @ c3 @ c3 ) )
| ( c4 != c4 )
| ~ spl0_264 ),
inference(superposition,[status(thm)],[f64,f11057]) ).
thf(f11057,plain,
( ( c4
= ( g @ c3 @ c4 ) )
| ~ spl0_264 ),
inference(avatar_component_clause,[status(thm)],[f11055]) ).
thf(f12716,plain,
~ spl0_228,
inference(avatar_contradiction_clause,[status(thm)],[f12715]) ).
thf(f12715,plain,
( $false
| ~ spl0_228 ),
inference(subsumption_resolution,[status(thm)],[f12714,f36]) ).
thf(f12714,plain,
( ( c5 = c1 )
| ~ spl0_228 ),
inference(subsumption_resolution,[status(thm)],[f12701,f58]) ).
thf(f12701,plain,
( ( c8 = c4 )
| ( c5 = c1 )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[status(thm)],[f12697]) ).
thf(f12697,plain,
( ( c8 = c4 )
| ( c5 != c5 )
| ( c5 = c1 )
| ~ spl0_228 ),
inference(superposition,[status(thm)],[f21,f7499]) ).
thf(f7499,plain,
( ( c5
= ( g @ c5 @ c4 ) )
| ~ spl0_228 ),
inference(avatar_component_clause,[status(thm)],[f7497]) ).
thf(f12684,plain,
( spl0_13
| ~ spl0_220
| ~ spl0_226 ),
inference(avatar_contradiction_clause,[status(thm)],[f12683]) ).
thf(f12683,plain,
( $false
| spl0_13
| ~ spl0_220
| ~ spl0_226 ),
inference(subsumption_resolution,[status(thm)],[f12682,f212]) ).
thf(f12682,plain,
( ( c2 = c4 )
| ~ spl0_220
| ~ spl0_226 ),
inference(forward_demodulation,[status(thm)],[f12681,f7266]) ).
thf(f12681,plain,
( ( c2
= ( g @ c5 @ c3 ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[status(thm)],[f12672]) ).
thf(f12672,plain,
( ( c2
= ( g @ c5 @ c3 ) )
| ( c4 != c4 )
| ~ spl0_226 ),
inference(superposition,[status(thm)],[f64,f7491]) ).
thf(f12563,plain,
( spl0_31
| ~ spl0_124
| ~ spl0_270 ),
inference(avatar_contradiction_clause,[status(thm)],[f12562]) ).
thf(f12562,plain,
( $false
| spl0_31
| ~ spl0_124
| ~ spl0_270 ),
inference(subsumption_resolution,[status(thm)],[f12548,f321]) ).
thf(f12548,plain,
( ( c3 = c4 )
| ~ spl0_124
| ~ spl0_270 ),
inference(backward_demodulation,[status(thm)],[f2486,f11986]) ).
thf(f2486,plain,
( ( c3
= ( g @ c2 @ c2 ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[status(thm)],[f2484]) ).
thf(f12393,plain,
( spl0_143
| ~ spl0_265 ),
inference(avatar_contradiction_clause,[status(thm)],[f12392]) ).
thf(f12392,plain,
( $false
| spl0_143
| ~ spl0_265 ),
inference(subsumption_resolution,[status(thm)],[f12391,f2613]) ).
thf(f2613,plain,
( ( c2
!= ( g @ c1 @ c3 ) )
| spl0_143 ),
inference(avatar_component_clause,[status(thm)],[f2612]) ).
thf(f12391,plain,
( ( c2
= ( g @ c1 @ c3 ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[status(thm)],[f12381]) ).
thf(f12381,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c1 @ c3 ) )
| ~ spl0_265 ),
inference(superposition,[status(thm)],[f64,f11063]) ).
thf(f11063,plain,
( ( c4
= ( g @ c1 @ c4 ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[status(thm)],[f11061]) ).
thf(f12247,plain,
( spl0_3
| ~ spl0_15
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[status(thm)],[f12246]) ).
thf(f12246,plain,
( $false
| spl0_3
| ~ spl0_15
| ~ spl0_266 ),
inference(subsumption_resolution,[status(thm)],[f12224,f125]) ).
thf(f12224,plain,
( ( c1 = c4 )
| ~ spl0_15
| ~ spl0_266 ),
inference(backward_demodulation,[status(thm)],[f3572,f11104]) ).
thf(f12208,plain,
( spl0_209
| spl0_156
| spl0_31
| spl0_162
| spl0_176
| ~ spl0_220 ),
inference(avatar_split_clause,[status(thm)],[f12207,f7264,f2865,f2754,f319,f2702,f5040]) ).
thf(f12207,plain,
( ( c4
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c4 @ c3 ) )
| spl0_31
| spl0_162
| spl0_176
| ~ spl0_220 ),
inference(subsumption_resolution,[status(thm)],[f12206,f321]) ).
thf(f12206,plain,
( ( c4
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c4 @ c3 ) )
| ( c3 = c4 )
| spl0_162
| spl0_176
| ~ spl0_220 ),
inference(forward_demodulation,[status(thm)],[f12205,f7266]) ).
thf(f12205,plain,
( ( c4
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| spl0_162
| spl0_176 ),
inference(subsumption_resolution,[status(thm)],[f11864,f2866]) ).
thf(f11864,plain,
( ( c3
= ( g @ c5 @ c3 ) )
| ( c3
= ( g @ c4 @ c3 ) )
| ( c5
= ( g @ c4 @ c3 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| spl0_162 ),
inference(trivial_inequality_removal,[status(thm)],[f11862]) ).
thf(f11862,plain,
( ( c3
= ( g @ c4 @ c3 ) )
| ( c2 != c2 )
| ( c5
= ( g @ c4 @ c3 ) )
| ( c3
= ( g @ c5 @ c3 ) )
| ( c4
= ( g @ c4 @ c3 ) )
| spl0_162 ),
inference(superposition,[status(thm)],[f2755,f293]) ).
thf(f12200,plain,
( spl0_24
| ~ spl0_137
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[status(thm)],[f12199]) ).
thf(f12199,plain,
( $false
| spl0_24
| ~ spl0_137
| ~ spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f12198,f263]) ).
thf(f12198,plain,
( ( c3 = c2 )
| ~ spl0_137
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f12197,f2567]) ).
thf(f12197,plain,
( ( c2
= ( g @ c4 @ c2 ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[status(thm)],[f12187]) ).
thf(f12187,plain,
( ( c2
= ( g @ c4 @ c2 ) )
| ( c4 != c4 )
| ~ spl0_209 ),
inference(superposition,[status(thm)],[f65,f5042]) ).
thf(f12147,plain,
( spl0_31
| ~ spl0_53
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[status(thm)],[f12146]) ).
thf(f12146,plain,
( $false
| spl0_31
| ~ spl0_53
| ~ spl0_54 ),
inference(subsumption_resolution,[status(thm)],[f12130,f321]) ).
thf(f12130,plain,
( ( c3 = c4 )
| ~ spl0_53
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f611,f615]) ).
thf(f611,plain,
( ( c3
= ( g @ c4 @ c8 ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[status(thm)],[f609]) ).
thf(f12129,plain,
( spl0_54
| ~ spl0_182 ),
inference(avatar_split_clause,[status(thm)],[f12126,f2949,f613]) ).
thf(f12126,plain,
( ( c4
= ( g @ c4 @ c8 ) )
| ~ spl0_182 ),
inference(forward_demodulation,[status(thm)],[f12125,f79]) ).
thf(f12125,plain,
( ( c4
= ( g @ c4 @ ( s @ ( s @ ( s @ c5 ) ) ) ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[status(thm)],[f12118]) ).
thf(f12118,plain,
( ( c2 != c2 )
| ( c4
= ( g @ c4 @ ( s @ ( s @ ( s @ c5 ) ) ) ) )
| ~ spl0_182 ),
inference(superposition,[status(thm)],[f9,f2951]) ).
thf(f2951,plain,
( ( c2
= ( g @ c4 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_182 ),
inference(avatar_component_clause,[status(thm)],[f2949]) ).
thf(f12074,plain,
( spl0_31
| ~ spl0_39
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[status(thm)],[f12073]) ).
thf(f12073,plain,
( $false
| spl0_31
| ~ spl0_39
| ~ spl0_64 ),
inference(subsumption_resolution,[status(thm)],[f12057,f321]) ).
thf(f12057,plain,
( ( c3 = c4 )
| ~ spl0_39
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f381,f792]) ).
thf(f381,plain,
( ( c3
= ( g @ c2 @ c8 ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[status(thm)],[f379]) ).
thf(f12056,plain,
( spl0_64
| ~ spl0_167 ),
inference(avatar_split_clause,[status(thm)],[f12055,f2786,f790]) ).
thf(f12055,plain,
( ( c4
= ( g @ c2 @ c8 ) )
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f12054,f79]) ).
thf(f12054,plain,
( ( c4
= ( g @ c2 @ ( s @ ( s @ ( s @ c5 ) ) ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[status(thm)],[f12047]) ).
thf(f12047,plain,
( ( c4
= ( g @ c2 @ ( s @ ( s @ ( s @ c5 ) ) ) ) )
| ( c2 != c2 )
| ~ spl0_167 ),
inference(superposition,[status(thm)],[f9,f2788]) ).
thf(f2788,plain,
( ( c2
= ( g @ c2 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[status(thm)],[f2786]) ).
thf(f12025,plain,
~ spl0_208,
inference(avatar_contradiction_clause,[status(thm)],[f12024]) ).
thf(f12024,plain,
( $false
| ~ spl0_208 ),
inference(subsumption_resolution,[status(thm)],[f12023,f35]) ).
thf(f35,plain,
c5 != c2,
inference(superposition,[status(thm)],[f15,f32]) ).
thf(f12023,plain,
( ( c5 = c2 )
| ~ spl0_208 ),
inference(forward_demodulation,[status(thm)],[f12022,f34]) ).
thf(f12022,plain,
( ( c2
= ( g @ c1 @ c1 ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[status(thm)],[f12012]) ).
thf(f12012,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c1 @ c1 ) )
| ~ spl0_208 ),
inference(superposition,[status(thm)],[f66,f4920]) ).
thf(f4920,plain,
( ( c4
= ( g @ c1 @ c2 ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[status(thm)],[f4918]) ).
thf(f11858,plain,
( spl0_3
| ~ spl0_176 ),
inference(avatar_contradiction_clause,[status(thm)],[f11857]) ).
thf(f11857,plain,
( $false
| spl0_3
| ~ spl0_176 ),
inference(subsumption_resolution,[status(thm)],[f11856,f58]) ).
thf(f11856,plain,
( ( c8 = c4 )
| spl0_3
| ~ spl0_176 ),
inference(subsumption_resolution,[status(thm)],[f11849,f125]) ).
thf(f11849,plain,
( ( c1 = c4 )
| ( c8 = c4 )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[status(thm)],[f11846]) ).
thf(f11846,plain,
( ( c1 = c4 )
| ( c8 = c4 )
| ( c5 != c5 )
| ~ spl0_176 ),
inference(superposition,[status(thm)],[f23,f2867]) ).
thf(f2867,plain,
( ( c5
= ( g @ c4 @ c3 ) )
| ~ spl0_176 ),
inference(avatar_component_clause,[status(thm)],[f2865]) ).
thf(f11791,plain,
( spl0_162
| ~ spl0_262 ),
inference(avatar_split_clause,[status(thm)],[f11787,f11039,f2754]) ).
thf(f11787,plain,
( ( c2
= ( g @ c4 @ c3 ) )
| ~ spl0_262 ),
inference(trivial_inequality_removal,[status(thm)],[f11777]) ).
thf(f11777,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c4 @ c3 ) )
| ~ spl0_262 ),
inference(superposition,[status(thm)],[f64,f11041]) ).
thf(f11790,plain,
( spl0_24
| ~ spl0_156
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[status(thm)],[f11789]) ).
thf(f11789,plain,
( $false
| spl0_24
| ~ spl0_156
| ~ spl0_262 ),
inference(subsumption_resolution,[status(thm)],[f11788,f263]) ).
thf(f11788,plain,
( ( c3 = c2 )
| ~ spl0_156
| ~ spl0_262 ),
inference(forward_demodulation,[status(thm)],[f11787,f2704]) ).
thf(f11738,plain,
( spl0_9
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[status(thm)],[f11737]) ).
thf(f11737,plain,
( $false
| spl0_9
| ~ spl0_168 ),
inference(subsumption_resolution,[status(thm)],[f11736,f58]) ).
thf(f11736,plain,
( ( c8 = c4 )
| spl0_9
| ~ spl0_168 ),
inference(subsumption_resolution,[status(thm)],[f11723,f154]) ).
thf(f11723,plain,
( ( c1 = c2 )
| ( c8 = c4 )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[status(thm)],[f11719]) ).
thf(f11719,plain,
( ( c1 = c2 )
| ( c5 != c5 )
| ( c8 = c4 )
| ~ spl0_168 ),
inference(superposition,[status(thm)],[f21,f2794]) ).
thf(f2794,plain,
( ( c5
= ( g @ c2 @ c4 ) )
| ~ spl0_168 ),
inference(avatar_component_clause,[status(thm)],[f2792]) ).
thf(f11685,plain,
( spl0_165
| ~ spl0_268 ),
inference(avatar_split_clause,[status(thm)],[f11673,f11561,f2773]) ).
thf(f11673,plain,
( ( c2
= ( g @ c2 @ c2 ) )
| ~ spl0_268 ),
inference(trivial_inequality_removal,[status(thm)],[f11663]) ).
thf(f11663,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c2 @ c2 ) )
| ~ spl0_268 ),
inference(superposition,[status(thm)],[f65,f11563]) ).
thf(f11563,plain,
( ( c4
= ( g @ c2 @ c3 ) )
| ~ spl0_268 ),
inference(avatar_component_clause,[status(thm)],[f11561]) ).
thf(f11678,plain,
( spl0_24
| ~ spl0_124
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[status(thm)],[f11677]) ).
thf(f11677,plain,
( $false
| spl0_24
| ~ spl0_124
| ~ spl0_268 ),
inference(subsumption_resolution,[status(thm)],[f11676,f263]) ).
thf(f11676,plain,
( ( c3 = c2 )
| ~ spl0_124
| ~ spl0_268 ),
inference(forward_demodulation,[status(thm)],[f11673,f2486]) ).
thf(f11629,plain,
( spl0_1
| ~ spl0_155
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[status(thm)],[f11628]) ).
thf(f11628,plain,
( $false
| spl0_1
| ~ spl0_155
| ~ spl0_156 ),
inference(subsumption_resolution,[status(thm)],[f11609,f117]) ).
thf(f11609,plain,
( ( c1 = c3 )
| ~ spl0_155
| ~ spl0_156 ),
inference(backward_demodulation,[status(thm)],[f6977,f2700]) ).
thf(f6977,plain,
( ( c1
= ( g @ c3 @ c3 ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[status(thm)],[f6968]) ).
thf(f6968,plain,
( ( c1
= ( g @ c3 @ c3 ) )
| ( c3 != c3 )
| ~ spl0_156 ),
inference(superposition,[status(thm)],[f71,f2704]) ).
thf(f11478,plain,
( spl0_3
| ~ spl0_91
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[status(thm)],[f11477]) ).
thf(f11477,plain,
( $false
| spl0_3
| ~ spl0_91
| ~ spl0_93 ),
inference(subsumption_resolution,[status(thm)],[f11455,f125]) ).
thf(f11455,plain,
( ( c1 = c4 )
| ~ spl0_91
| ~ spl0_93 ),
inference(backward_demodulation,[status(thm)],[f6098,f1820]) ).
thf(f6098,plain,
( ( c1
= ( g @ c3 @ c5 ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[status(thm)],[f6089]) ).
thf(f6089,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c3 @ c5 ) )
| ~ spl0_93 ),
inference(superposition,[status(thm)],[f71,f1828]) ).
thf(f1828,plain,
( ( c3
= ( g @ c4 @ c5 ) )
| ~ spl0_93 ),
inference(avatar_component_clause,[status(thm)],[f1826]) ).
thf(f11476,plain,
( spl0_24
| ~ spl0_91
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[status(thm)],[f11475]) ).
thf(f11475,plain,
( $false
| spl0_24
| ~ spl0_91
| ~ spl0_122 ),
inference(subsumption_resolution,[status(thm)],[f11474,f263]) ).
thf(f11474,plain,
( ( c3 = c2 )
| ~ spl0_91
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f11473,f2476]) ).
thf(f11473,plain,
( ( c2
= ( g @ c3 @ c4 ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[status(thm)],[f11462]) ).
thf(f11462,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c3 @ c4 ) )
| ~ spl0_91 ),
inference(superposition,[status(thm)],[f63,f1820]) ).
thf(f10664,plain,
( spl0_31
| spl0_51
| spl0_86
| spl0_87
| ~ spl0_107 ),
inference(avatar_split_clause,[status(thm)],[f10663,f2337,f1457,f1453,f601,f319]) ).
thf(f10663,plain,
( ( c3 = c4 )
| spl0_51
| spl0_86
| spl0_87
| ~ spl0_107 ),
inference(subsumption_resolution,[status(thm)],[f10662,f1458]) ).
thf(f10662,plain,
( ( c5
= ( g @ c5 @ c8 ) )
| ( c3 = c4 )
| spl0_51
| spl0_86
| ~ spl0_107 ),
inference(subsumption_resolution,[status(thm)],[f10661,f602]) ).
thf(f602,plain,
( ( c3
!= ( g @ c5 @ c8 ) )
| spl0_51 ),
inference(avatar_component_clause,[status(thm)],[f601]) ).
thf(f10661,plain,
( ( c3
= ( g @ c5 @ c8 ) )
| ( c3 = c4 )
| ( c5
= ( g @ c5 @ c8 ) )
| spl0_86
| ~ spl0_107 ),
inference(subsumption_resolution,[status(thm)],[f10474,f15]) ).
thf(f10474,plain,
( ( c2
= ( g @ c5 @ c8 ) )
| ( c5
= ( g @ c5 @ c8 ) )
| ( c3 = c4 )
| ( c3
= ( g @ c5 @ c8 ) )
| spl0_86
| ~ spl0_107 ),
inference(subsumption_resolution,[status(thm)],[f10457,f1454]) ).
thf(f1454,plain,
( ( c4
!= ( g @ c5 @ c8 ) )
| spl0_86 ),
inference(avatar_component_clause,[status(thm)],[f1453]) ).
thf(f10457,plain,
( ( c4
= ( g @ c5 @ c8 ) )
| ( c3 = c4 )
| ( c5
= ( g @ c5 @ c8 ) )
| ( c2
= ( g @ c5 @ c8 ) )
| ( c3
= ( g @ c5 @ c8 ) )
| ~ spl0_107 ),
inference(superposition,[status(thm)],[f112,f2339]) ).
thf(f10447,plain,
( spl0_107
| ~ spl0_232 ),
inference(avatar_split_clause,[status(thm)],[f10446,f9086,f2337]) ).
thf(f10446,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c8 ) )
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f10443,f79]) ).
thf(f10443,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ ( s @ c5 ) ) ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[status(thm)],[f10436]) ).
thf(f10436,plain,
( ( c2 != c2 )
| ( c4
= ( g @ ( s @ c5 ) @ ( s @ ( s @ ( s @ c5 ) ) ) ) )
| ~ spl0_232 ),
inference(superposition,[status(thm)],[f9,f9088]) ).
thf(f9088,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[status(thm)],[f9086]) ).
thf(f10383,plain,
( spl0_224
| spl0_70
| ~ spl0_231 ),
inference(avatar_split_clause,[status(thm)],[f10382,f9082,f990,f7475]) ).
thf(f10382,plain,
( ( c1
= ( s @ c5 ) )
| spl0_70
| ~ spl0_231 ),
inference(subsumption_resolution,[status(thm)],[f10379,f991]) ).
thf(f10379,plain,
( ( c1
= ( s @ c5 ) )
| ( c8
= ( s @ ( s @ c5 ) ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[status(thm)],[f10372]) ).
thf(f10372,plain,
( ( c5 != c5 )
| ( c1
= ( s @ c5 ) )
| ( c8
= ( s @ ( s @ c5 ) ) )
| ~ spl0_231 ),
inference(superposition,[status(thm)],[f21,f9084]) ).
thf(f9084,plain,
( ( c5
= ( g @ ( s @ c5 ) @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_231 ),
inference(avatar_component_clause,[status(thm)],[f9082]) ).
thf(f10361,plain,
( spl0_13
| ~ spl0_108
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[status(thm)],[f10360]) ).
thf(f10360,plain,
( $false
| spl0_13
| ~ spl0_108
| ~ spl0_233 ),
inference(subsumption_resolution,[status(thm)],[f10359,f212]) ).
thf(f10359,plain,
( ( c2 = c4 )
| ~ spl0_108
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f10340,f9136]) ).
thf(f10340,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ c5 ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[status(thm)],[f10330]) ).
thf(f10330,plain,
( ( c2
= ( g @ ( s @ c5 ) @ ( s @ c5 ) ) )
| ( c4 != c4 )
| ~ spl0_233 ),
inference(superposition,[status(thm)],[f10,f9092]) ).
thf(f10302,plain,
( spl0_244
| spl0_243
| spl0_241
| spl0_242
| spl0_31
| ~ spl0_108 ),
inference(avatar_split_clause,[status(thm)],[f10301,f2404,f319,f10289,f10285,f10293,f10297]) ).
thf(f10301,plain,
( ( c5
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c2
= ( g @ c5 @ ( s @ c5 ) ) )
| spl0_31
| ~ spl0_108 ),
inference(subsumption_resolution,[status(thm)],[f10274,f321]) ).
thf(f10274,plain,
( ( c3 = c4 )
| ( c2
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c4
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c3
= ( g @ c5 @ ( s @ c5 ) ) )
| ( c5
= ( g @ c5 @ ( s @ c5 ) ) )
| ~ spl0_108 ),
inference(superposition,[status(thm)],[f112,f9136]) ).
thf(f10197,plain,
( spl0_24
| ~ spl0_114
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[status(thm)],[f10196]) ).
thf(f10196,plain,
( $false
| spl0_24
| ~ spl0_114
| ~ spl0_238 ),
inference(subsumption_resolution,[status(thm)],[f10195,f263]) ).
thf(f10195,plain,
( ( c3 = c2 )
| ~ spl0_114
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f10184,f2436]) ).
thf(f10184,plain,
( ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[status(thm)],[f10173]) ).
thf(f10173,plain,
( ( c4 != c4 )
| ( c2
= ( g @ ( s @ ( s @ c5 ) ) @ c3 ) )
| ~ spl0_238 ),
inference(superposition,[status(thm)],[f64,f9227]) ).
thf(f9634,plain,
( spl0_74
| ~ spl0_222 ),
inference(avatar_split_clause,[status(thm)],[f9631,f7420,f1059]) ).
thf(f9631,plain,
( ( c4
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_222 ),
inference(forward_demodulation,[status(thm)],[f9630,f25]) ).
thf(f9630,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ c1 ) ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[status(thm)],[f9623]) ).
thf(f9623,plain,
( ( c4
= ( g @ ( s @ c5 ) @ ( s @ c1 ) ) )
| ( c2 != c2 )
| ~ spl0_222 ),
inference(superposition,[status(thm)],[f9,f7422]) ).
thf(f7422,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c1 ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[status(thm)],[f7420]) ).
thf(f9515,plain,
( spl0_224
| spl0_50
| ~ spl0_221 ),
inference(avatar_split_clause,[status(thm)],[f9514,f7416,f479,f7475]) ).
thf(f9514,plain,
( ( c1
= ( s @ c5 ) )
| spl0_50
| ~ spl0_221 ),
inference(subsumption_resolution,[status(thm)],[f9511,f480]) ).
thf(f9511,plain,
( ( c1
= ( s @ c5 ) )
| ( c8 = c1 )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[status(thm)],[f9507]) ).
thf(f9507,plain,
( ( c5 != c5 )
| ( c1
= ( s @ c5 ) )
| ( c8 = c1 )
| ~ spl0_221 ),
inference(superposition,[status(thm)],[f21,f7418]) ).
thf(f7418,plain,
( ( c5
= ( g @ ( s @ c5 ) @ c1 ) )
| ~ spl0_221 ),
inference(avatar_component_clause,[status(thm)],[f7416]) ).
thf(f9424,plain,
( spl0_24
| ~ spl0_75
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[status(thm)],[f9423]) ).
thf(f9423,plain,
( $false
| spl0_24
| ~ spl0_75
| ~ spl0_216 ),
inference(subsumption_resolution,[status(thm)],[f9422,f263]) ).
thf(f9422,plain,
( ( c3 = c2 )
| ~ spl0_75
| ~ spl0_216 ),
inference(forward_demodulation,[status(thm)],[f9421,f1065]) ).
thf(f9421,plain,
( ( c2
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[status(thm)],[f9411]) ).
thf(f9411,plain,
( ( c4 != c4 )
| ( c2
= ( g @ ( s @ c5 ) @ c2 ) )
| ~ spl0_216 ),
inference(superposition,[status(thm)],[f65,f7200]) ).
thf(f9399,plain,
( spl0_3
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[status(thm)],[f9398]) ).
thf(f9398,plain,
( $false
| spl0_3
| ~ spl0_151 ),
inference(subsumption_resolution,[status(thm)],[f9397,f125]) ).
thf(f9397,plain,
( ( c1 = c4 )
| ~ spl0_151 ),
inference(subsumption_resolution,[status(thm)],[f9376,f58]) ).
thf(f9376,plain,
( ( c8 = c4 )
| ( c1 = c4 )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[status(thm)],[f9371]) ).
thf(f9371,plain,
( ( c8 = c4 )
| ( c5 != c5 )
| ( c1 = c4 )
| ~ spl0_151 ),
inference(superposition,[status(thm)],[f20,f2679]) ).
thf(f2679,plain,
( ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c4 ) )
| ~ spl0_151 ),
inference(avatar_component_clause,[status(thm)],[f2677]) ).
thf(f9332,plain,
( spl0_9
| ~ spl0_96
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[status(thm)],[f9331]) ).
thf(f9331,plain,
( $false
| spl0_9
| ~ spl0_96
| ~ spl0_203 ),
inference(subsumption_resolution,[status(thm)],[f9317,f154]) ).
thf(f9317,plain,
( ( c1 = c2 )
| ~ spl0_96
| ~ spl0_203 ),
inference(backward_demodulation,[status(thm)],[f4295,f9316]) ).
thf(f9316,plain,
( ( c2
= ( g @ c1 @ c5 ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[status(thm)],[f9306]) ).
thf(f9306,plain,
( ( c2
= ( g @ c1 @ c5 ) )
| ( c4 != c4 )
| ~ spl0_203 ),
inference(superposition,[status(thm)],[f10,f4646]) ).
thf(f9018,plain,
( ~ spl0_13
| ~ spl0_67 ),
inference(avatar_split_clause,[status(thm)],[f9017,f947,f210]) ).
thf(f9017,plain,
( ( c2 != c4 )
| ~ spl0_67 ),
inference(subsumption_resolution,[status(thm)],[f9016,f16]) ).
thf(f9016,plain,
( ( c2 != c4 )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c1 ) )
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f9007,f27]) ).
thf(f9007,plain,
( ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ ( s @ c8 ) ) )
| ( c2 != c4 )
| ~ spl0_67 ),
inference(superposition,[status(thm)],[f9,f949]) ).
thf(f8677,plain,
( spl0_30
| spl0_29
| ~ spl0_13 ),
inference(avatar_split_clause,[status(thm)],[f8676,f210,f285,f289]) ).
thf(f8676,plain,
( ( c2 != c4 )
| ( c5
= ( g @ c8 @ c1 ) )
| ( c3
= ( g @ c8 @ c1 ) ) ),
inference(subsumption_resolution,[status(thm)],[f8663,f16]) ).
thf(f8663,plain,
( ( c3
= ( g @ c8 @ c1 ) )
| ( c2 != c4 )
| ( c5
= ( g @ c8 @ c1 ) )
| ( c4
= ( g @ c8 @ c1 ) ) ),
inference(superposition,[status(thm)],[f16,f113]) ).
thf(f8374,plain,
( spl0_224
| ~ spl0_212 ),
inference(avatar_split_clause,[status(thm)],[f8326,f6349,f7475]) ).
thf(f8326,plain,
( ( c1
= ( s @ c5 ) )
| ~ spl0_212 ),
inference(backward_demodulation,[status(thm)],[f27,f6351]) ).
thf(f6351,plain,
( ( c8 = c5 )
| ~ spl0_212 ),
inference(avatar_component_clause,[status(thm)],[f6349]) ).
thf(f8312,plain,
( spl0_212
| ~ spl0_87 ),
inference(avatar_split_clause,[status(thm)],[f8311,f1457,f6349]) ).
thf(f8311,plain,
( ( c8 = c5 )
| ~ spl0_87 ),
inference(subsumption_resolution,[status(thm)],[f8307,f36]) ).
thf(f8307,plain,
( ( c5 = c1 )
| ( c8 = c5 )
| ~ spl0_87 ),
inference(trivial_inequality_removal,[status(thm)],[f8305]) ).
thf(f8305,plain,
( ( c8 = c5 )
| ( c5 != c5 )
| ( c5 = c1 )
| ~ spl0_87 ),
inference(superposition,[status(thm)],[f23,f1459]) ).
thf(f1459,plain,
( ( c5
= ( g @ c5 @ c8 ) )
| ~ spl0_87 ),
inference(avatar_component_clause,[status(thm)],[f1457]) ).
thf(f8289,plain,
( spl0_1
| ~ spl0_39
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[status(thm)],[f8288]) ).
thf(f8288,plain,
( $false
| spl0_1
| ~ spl0_39
| ~ spl0_57 ),
inference(subsumption_resolution,[status(thm)],[f8287,f117]) ).
thf(f8287,plain,
( ( c1 = c3 )
| ~ spl0_39
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f8286,f381]) ).
thf(f8286,plain,
( ( c1
= ( g @ c2 @ c8 ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[status(thm)],[f8277]) ).
thf(f8277,plain,
( ( c1
= ( g @ c2 @ c8 ) )
| ( c3 != c3 )
| ~ spl0_57 ),
inference(superposition,[status(thm)],[f72,f662]) ).
thf(f7716,plain,
( spl0_1
| spl0_3
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[status(thm)],[f7715]) ).
thf(f7715,plain,
( $false
| spl0_1
| spl0_3
| ~ spl0_56 ),
inference(subsumption_resolution,[status(thm)],[f7714,f125]) ).
thf(f7714,plain,
( ( c1 = c4 )
| spl0_1
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f7667,f30]) ).
thf(f7667,plain,
( ( c1
= ( s @ c3 ) )
| spl0_1
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f27,f7659]) ).
thf(f7659,plain,
( ( c8 = c3 )
| spl0_1
| ~ spl0_56 ),
inference(subsumption_resolution,[status(thm)],[f7658,f117]) ).
thf(f7658,plain,
( ( c1 = c3 )
| ( c8 = c3 )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[status(thm)],[f7655]) ).
thf(f7655,plain,
( ( c5 != c5 )
| ( c1 = c3 )
| ( c8 = c3 )
| ~ spl0_56 ),
inference(superposition,[status(thm)],[f23,f658]) ).
thf(f658,plain,
( ( c5
= ( g @ c3 @ c8 ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[status(thm)],[f656]) ).
thf(f7623,plain,
( spl0_88
| ~ spl0_51 ),
inference(avatar_split_clause,[status(thm)],[f7622,f601,f1461]) ).
thf(f7622,plain,
( ( c1
= ( g @ c4 @ c8 ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[status(thm)],[f7614]) ).
thf(f7614,plain,
( ( c1
= ( g @ c4 @ c8 ) )
| ( c3 != c3 )
| ~ spl0_51 ),
inference(superposition,[status(thm)],[f70,f603]) ).
thf(f603,plain,
( ( c3
= ( g @ c5 @ c8 ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[status(thm)],[f601]) ).
thf(f7592,plain,
( spl0_87
| spl0_51
| spl0_1
| ~ spl0_68
| spl0_86 ),
inference(avatar_split_clause,[status(thm)],[f7591,f1453,f951,f115,f601,f1457]) ).
thf(f7591,plain,
( ( c5
= ( g @ c5 @ c8 ) )
| ( c3
= ( g @ c5 @ c8 ) )
| spl0_1
| ~ spl0_68
| spl0_86 ),
inference(subsumption_resolution,[status(thm)],[f7590,f1454]) ).
thf(f7590,plain,
( ( c3
= ( g @ c5 @ c8 ) )
| ( c5
= ( g @ c5 @ c8 ) )
| ( c4
= ( g @ c5 @ c8 ) )
| spl0_1
| ~ spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f7589,f15]) ).
thf(f7589,plain,
( ( c5
= ( g @ c5 @ c8 ) )
| ( c2
= ( g @ c5 @ c8 ) )
| ( c4
= ( g @ c5 @ c8 ) )
| ( c3
= ( g @ c5 @ c8 ) )
| spl0_1
| ~ spl0_68 ),
inference(subsumption_resolution,[status(thm)],[f7558,f117]) ).
thf(f7558,plain,
( ( c5
= ( g @ c5 @ c8 ) )
| ( c1 = c3 )
| ( c3
= ( g @ c5 @ c8 ) )
| ( c4
= ( g @ c5 @ c8 ) )
| ( c2
= ( g @ c5 @ c8 ) )
| ~ spl0_68 ),
inference(superposition,[status(thm)],[f2388,f112]) ).
thf(f2388,plain,
( ( c1
= ( g @ ( s @ c5 ) @ c8 ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[status(thm)],[f2380]) ).
thf(f2380,plain,
( ( c3 != c3 )
| ( c1
= ( g @ ( s @ c5 ) @ c8 ) )
| ~ spl0_68 ),
inference(superposition,[status(thm)],[f29,f953]) ).
thf(f7531,plain,
( spl0_228
| spl0_227
| spl0_226
| spl0_31
| ~ spl0_103
| spl0_163 ),
inference(avatar_split_clause,[status(thm)],[f7530,f2758,f2224,f319,f7489,f7493,f7497]) ).
thf(f7530,plain,
( ( c4
= ( g @ c5 @ c4 ) )
| ( c5
= ( g @ c5 @ c4 ) )
| ( c2
= ( g @ c5 @ c4 ) )
| spl0_31
| ~ spl0_103
| spl0_163 ),
inference(subsumption_resolution,[status(thm)],[f7529,f321]) ).
thf(f7529,plain,
( ( c5
= ( g @ c5 @ c4 ) )
| ( c3 = c4 )
| ( c4
= ( g @ c5 @ c4 ) )
| ( c2
= ( g @ c5 @ c4 ) )
| ~ spl0_103
| spl0_163 ),
inference(subsumption_resolution,[status(thm)],[f7515,f2759]) ).
thf(f7515,plain,
( ( c4
= ( g @ c5 @ c4 ) )
| ( c3
= ( g @ c5 @ c4 ) )
| ( c5
= ( g @ c5 @ c4 ) )
| ( c3 = c4 )
| ( c2
= ( g @ c5 @ c4 ) )
| ~ spl0_103 ),
inference(superposition,[status(thm)],[f112,f2226]) ).
thf(f7315,plain,
( spl0_212
| ~ spl0_218 ),
inference(avatar_split_clause,[status(thm)],[f7314,f7232,f6349]) ).
thf(f7314,plain,
( ( c8 = c5 )
| ~ spl0_218 ),
inference(subsumption_resolution,[status(thm)],[f7305,f36]) ).
thf(f7305,plain,
( ( c8 = c5 )
| ( c5 = c1 )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[status(thm)],[f7302]) ).
thf(f7302,plain,
( ( c5 = c1 )
| ( c5 != c5 )
| ( c8 = c5 )
| ~ spl0_218 ),
inference(superposition,[status(thm)],[f23,f7234]) ).
thf(f7234,plain,
( ( c5
= ( g @ c5 @ c2 ) )
| ~ spl0_218 ),
inference(avatar_component_clause,[status(thm)],[f7232]) ).
thf(f7270,plain,
( spl0_24
| ~ spl0_170
| ~ spl0_217 ),
inference(avatar_contradiction_clause,[status(thm)],[f7269]) ).
thf(f7269,plain,
( $false
| spl0_24
| ~ spl0_170
| ~ spl0_217 ),
inference(subsumption_resolution,[status(thm)],[f7268,f263]) ).
thf(f7268,plain,
( ( c3 = c2 )
| ~ spl0_170
| ~ spl0_217 ),
inference(forward_demodulation,[status(thm)],[f7261,f2804]) ).
thf(f7261,plain,
( ( c2
= ( g @ c5 @ c1 ) )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[status(thm)],[f7252]) ).
thf(f7252,plain,
( ( c4 != c4 )
| ( c2
= ( g @ c5 @ c1 ) )
| ~ spl0_217 ),
inference(superposition,[status(thm)],[f66,f7230]) ).
thf(f7055,plain,
( spl0_68
| ~ spl0_13
| spl0_66
| spl0_67 ),
inference(avatar_split_clause,[status(thm)],[f7054,f947,f943,f210,f951]) ).
thf(f7054,plain,
( ( c2 != c4 )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| spl0_66
| spl0_67 ),
inference(subsumption_resolution,[status(thm)],[f7053,f38]) ).
thf(f7053,plain,
( ( c2 != c4 )
| ( c5 = c3 )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| spl0_66
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f7052,f32]) ).
thf(f7052,plain,
( ( c3
= ( g @ c8 @ c8 ) )
| ( c2 != c4 )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| spl0_66
| spl0_67 ),
inference(subsumption_resolution,[status(thm)],[f7051,f948]) ).
thf(f948,plain,
( ( c4
!= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| spl0_67 ),
inference(avatar_component_clause,[status(thm)],[f947]) ).
thf(f7051,plain,
( ( c3
= ( g @ c8 @ c8 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c2 != c4 )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| spl0_66
| spl0_67 ),
inference(subsumption_resolution,[status(thm)],[f7047,f944]) ).
thf(f944,plain,
( ( c5
!= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| spl0_66 ),
inference(avatar_component_clause,[status(thm)],[f943]) ).
thf(f7047,plain,
( ( c3
= ( g @ c8 @ c8 ) )
| ( c3
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c2 != c4 )
| ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ( c4
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| spl0_67 ),
inference(superposition,[status(thm)],[f948,f298]) ).
thf(f7026,plain,
( spl0_1
| ~ spl0_93
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[status(thm)],[f7025]) ).
thf(f7025,plain,
( $false
| spl0_1
| ~ spl0_93
| ~ spl0_99 ),
inference(subsumption_resolution,[status(thm)],[f7024,f117]) ).
thf(f7024,plain,
( ( c1 = c3 )
| ~ spl0_93
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f5470,f1828]) ).
thf(f5470,plain,
( ( c1
= ( g @ c4 @ c5 ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[status(thm)],[f5462]) ).
thf(f5462,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c4 @ c5 ) )
| ~ spl0_99 ),
inference(superposition,[status(thm)],[f70,f1855]) ).
thf(f7006,plain,
( spl0_24
| ~ spl0_93
| ~ spl0_210 ),
inference(avatar_contradiction_clause,[status(thm)],[f7005]) ).
thf(f7005,plain,
( $false
| spl0_24
| ~ spl0_93
| ~ spl0_210 ),
inference(subsumption_resolution,[status(thm)],[f7004,f263]) ).
thf(f7004,plain,
( ( c3 = c2 )
| ~ spl0_93
| ~ spl0_210 ),
inference(forward_demodulation,[status(thm)],[f5376,f1828]) ).
thf(f6389,plain,
( spl0_1
| ~ spl0_155
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[status(thm)],[f6388]) ).
thf(f6388,plain,
( $false
| spl0_1
| ~ spl0_155
| ~ spl0_164 ),
inference(subsumption_resolution,[status(thm)],[f6387,f117]) ).
thf(f6387,plain,
( ( c1 = c3 )
| ~ spl0_155
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f6386,f2771]) ).
thf(f6386,plain,
( ( c1
= ( g @ c2 @ c3 ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[status(thm)],[f6377]) ).
thf(f6377,plain,
( ( c1
= ( g @ c2 @ c3 ) )
| ( c3 != c3 )
| ~ spl0_155 ),
inference(superposition,[status(thm)],[f72,f2700]) ).
thf(f6372,plain,
( spl0_1
| ~ spl0_156
| ~ spl0_177 ),
inference(avatar_contradiction_clause,[status(thm)],[f6371]) ).
thf(f6371,plain,
( $false
| spl0_1
| ~ spl0_156
| ~ spl0_177 ),
inference(subsumption_resolution,[status(thm)],[f6370,f117]) ).
thf(f6370,plain,
( ( c1 = c3 )
| ~ spl0_156
| ~ spl0_177 ),
inference(forward_demodulation,[status(thm)],[f5059,f2704]) ).
thf(f5059,plain,
( ( c1
= ( g @ c4 @ c3 ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[status(thm)],[f5051]) ).
thf(f5051,plain,
( ( c1
= ( g @ c4 @ c3 ) )
| ( c3 != c3 )
| ~ spl0_177 ),
inference(superposition,[status(thm)],[f70,f2871]) ).
thf(f6248,plain,
( spl0_1
| ~ spl0_136
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[status(thm)],[f6247]) ).
thf(f6247,plain,
( $false
| spl0_1
| ~ spl0_136
| ~ spl0_137 ),
inference(subsumption_resolution,[status(thm)],[f6246,f117]) ).
thf(f6246,plain,
( ( c1 = c3 )
| ~ spl0_136
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f4758,f2567]) ).
thf(f4758,plain,
( ( c1
= ( g @ c4 @ c2 ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[status(thm)],[f4750]) ).
thf(f4750,plain,
( ( c1
= ( g @ c4 @ c2 ) )
| ( c3 != c3 )
| ~ spl0_136 ),
inference(superposition,[status(thm)],[f70,f2563]) ).
thf(f6208,plain,
( spl0_24
| ~ spl0_147
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[status(thm)],[f6207]) ).
thf(f6207,plain,
( $false
| spl0_24
| ~ spl0_147
| ~ spl0_204 ),
inference(subsumption_resolution,[status(thm)],[f6206,f263]) ).
thf(f6206,plain,
( ( c3 = c2 )
| ~ spl0_147
| ~ spl0_204 ),
inference(forward_demodulation,[status(thm)],[f6205,f2642]) ).
thf(f2642,plain,
( ( c3
= ( g @ c3 @ c1 ) )
| ~ spl0_147 ),
inference(avatar_component_clause,[status(thm)],[f2640]) ).
thf(f6205,plain,
( ( c2
= ( g @ c3 @ c1 ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[status(thm)],[f6195]) ).
thf(f6195,plain,
( ( c2
= ( g @ c3 @ c1 ) )
| ( c4 != c4 )
| ~ spl0_204 ),
inference(superposition,[status(thm)],[f66,f4744]) ).
thf(f6128,plain,
( spl0_1
| ~ spl0_119
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[status(thm)],[f6127]) ).
thf(f6127,plain,
( $false
| spl0_1
| ~ spl0_119
| ~ spl0_163 ),
inference(subsumption_resolution,[status(thm)],[f6126,f117]) ).
thf(f6126,plain,
( ( c1 = c3 )
| ~ spl0_119
| ~ spl0_163 ),
inference(forward_demodulation,[status(thm)],[f6125,f2464]) ).
thf(f6125,plain,
( ( c1
= ( g @ c4 @ c4 ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[status(thm)],[f6117]) ).
thf(f6117,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c4 @ c4 ) )
| ~ spl0_163 ),
inference(superposition,[status(thm)],[f70,f2760]) ).
thf(f5459,plain,
( spl0_1
| ~ spl0_122
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[status(thm)],[f5458]) ).
thf(f5458,plain,
( $false
| spl0_1
| ~ spl0_122
| ~ spl0_142 ),
inference(subsumption_resolution,[status(thm)],[f5457,f117]) ).
thf(f5457,plain,
( ( c1 = c3 )
| ~ spl0_122
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f5456,f2610]) ).
thf(f5456,plain,
( ( c1
= ( g @ c2 @ c4 ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[status(thm)],[f5447]) ).
thf(f5447,plain,
( ( c1
= ( g @ c2 @ c4 ) )
| ( c3 != c3 )
| ~ spl0_122 ),
inference(superposition,[status(thm)],[f72,f2476]) ).
thf(f5415,plain,
( spl0_24
| ~ spl0_121
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[status(thm)],[f5414]) ).
thf(f5414,plain,
( $false
| spl0_24
| ~ spl0_121
| ~ spl0_155 ),
inference(subsumption_resolution,[status(thm)],[f5413,f263]) ).
thf(f5413,plain,
( ( c3 = c2 )
| ~ spl0_121
| ~ spl0_155 ),
inference(forward_demodulation,[status(thm)],[f2472,f2700]) ).
thf(f5410,plain,
( spl0_3
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[status(thm)],[f5409]) ).
thf(f5409,plain,
( $false
| spl0_3
| ~ spl0_120 ),
inference(subsumption_resolution,[status(thm)],[f5408,f125]) ).
thf(f5408,plain,
( ( c1 = c4 )
| ~ spl0_120 ),
inference(subsumption_resolution,[status(thm)],[f5403,f58]) ).
thf(f5403,plain,
( ( c8 = c4 )
| ( c1 = c4 )
| ~ spl0_120 ),
inference(trivial_inequality_removal,[status(thm)],[f5396]) ).
thf(f5396,plain,
( ( c5 != c5 )
| ( c8 = c4 )
| ( c1 = c4 )
| ~ spl0_120 ),
inference(superposition,[status(thm)],[f20,f2468]) ).
thf(f2468,plain,
( ( c5
= ( g @ c3 @ c4 ) )
| ~ spl0_120 ),
inference(avatar_component_clause,[status(thm)],[f2466]) ).
thf(f5370,plain,
( spl0_24
| ~ spl0_119
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[status(thm)],[f5369]) ).
thf(f5369,plain,
( $false
| spl0_24
| ~ spl0_119
| ~ spl0_174 ),
inference(subsumption_resolution,[status(thm)],[f5368,f263]) ).
thf(f5368,plain,
( ( c3 = c2 )
| ~ spl0_119
| ~ spl0_174 ),
inference(forward_demodulation,[status(thm)],[f2829,f2464]) ).
thf(f5366,plain,
( spl0_9
| ~ spl0_93
| ~ spl0_202 ),
inference(avatar_contradiction_clause,[status(thm)],[f5365]) ).
thf(f5365,plain,
( $false
| spl0_9
| ~ spl0_93
| ~ spl0_202 ),
inference(subsumption_resolution,[status(thm)],[f5352,f154]) ).
thf(f5352,plain,
( ( c1 = c2 )
| ~ spl0_93
| ~ spl0_202 ),
inference(backward_demodulation,[status(thm)],[f4138,f4377]) ).
thf(f4138,plain,
( ( c1
= ( g @ c3 @ c5 ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[status(thm)],[f4129]) ).
thf(f4129,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c3 @ c5 ) )
| ~ spl0_93 ),
inference(superposition,[status(thm)],[f71,f1828]) ).
thf(f5295,plain,
( spl0_1
| ~ spl0_119
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[status(thm)],[f5294]) ).
thf(f5294,plain,
( $false
| spl0_1
| ~ spl0_119
| ~ spl0_122 ),
inference(subsumption_resolution,[status(thm)],[f5293,f117]) ).
thf(f5293,plain,
( ( c1 = c3 )
| ~ spl0_119
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f4316,f2476]) ).
thf(f4316,plain,
( ( c1
= ( g @ c3 @ c4 ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[status(thm)],[f4307]) ).
thf(f4307,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c3 @ c4 ) )
| ~ spl0_119 ),
inference(superposition,[status(thm)],[f71,f2464]) ).
thf(f5149,plain,
( spl0_9
| spl0_50
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[status(thm)],[f5148]) ).
thf(f5148,plain,
( $false
| spl0_9
| spl0_50
| ~ spl0_179 ),
inference(subsumption_resolution,[status(thm)],[f5147,f154]) ).
thf(f5147,plain,
( ( c1 = c2 )
| spl0_50
| ~ spl0_179 ),
inference(subsumption_resolution,[status(thm)],[f5142,f480]) ).
thf(f5142,plain,
( ( c8 = c1 )
| ( c1 = c2 )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[status(thm)],[f5138]) ).
thf(f5138,plain,
( ( c5 != c5 )
| ( c1 = c2 )
| ( c8 = c1 )
| ~ spl0_179 ),
inference(superposition,[status(thm)],[f21,f2881]) ).
thf(f2881,plain,
( ( c5
= ( g @ c2 @ c1 ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[status(thm)],[f2879]) ).
thf(f5113,plain,
( spl0_1
| ~ spl0_147
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[status(thm)],[f5112]) ).
thf(f5112,plain,
( $false
| spl0_1
| ~ spl0_147
| ~ spl0_192 ),
inference(subsumption_resolution,[status(thm)],[f5111,f117]) ).
thf(f5111,plain,
( ( c1 = c3 )
| ~ spl0_147
| ~ spl0_192 ),
inference(forward_demodulation,[status(thm)],[f3795,f2642]) ).
thf(f3795,plain,
( ( c1
= ( g @ c3 @ c1 ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[status(thm)],[f3793]) ).
thf(f5079,plain,
~ spl0_180,
inference(avatar_contradiction_clause,[status(thm)],[f5078]) ).
thf(f5078,plain,
( $false
| ~ spl0_180 ),
inference(subsumption_resolution,[status(thm)],[f5077,f36]) ).
thf(f5077,plain,
( ( c5 = c1 )
| ~ spl0_180 ),
inference(forward_demodulation,[status(thm)],[f5076,f34]) ).
thf(f5076,plain,
( ( c1
= ( g @ c1 @ c1 ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[status(thm)],[f5067]) ).
thf(f5067,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c1 @ c1 ) )
| ~ spl0_180 ),
inference(superposition,[status(thm)],[f73,f2885]) ).
thf(f2885,plain,
( ( c3
= ( g @ c2 @ c1 ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[status(thm)],[f2883]) ).
thf(f4978,plain,
( spl0_9
| spl0_50
| ~ spl0_175 ),
inference(avatar_contradiction_clause,[status(thm)],[f4977]) ).
thf(f4977,plain,
( $false
| spl0_9
| spl0_50
| ~ spl0_175 ),
inference(subsumption_resolution,[status(thm)],[f4976,f154]) ).
thf(f4976,plain,
( ( c1 = c2 )
| spl0_50
| ~ spl0_175 ),
inference(subsumption_resolution,[status(thm)],[f4975,f480]) ).
thf(f4975,plain,
( ( c8 = c1 )
| ( c1 = c2 )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[status(thm)],[f4971]) ).
thf(f4971,plain,
( ( c5 != c5 )
| ( c1 = c2 )
| ( c8 = c1 )
| ~ spl0_175 ),
inference(superposition,[status(thm)],[f22,f2847]) ).
thf(f2847,plain,
( ( c5
= ( g @ c1 @ c2 ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[status(thm)],[f2845]) ).
thf(f4866,plain,
( spl0_1
| ~ spl0_148
| ~ spl0_170 ),
inference(avatar_contradiction_clause,[status(thm)],[f4865]) ).
thf(f4865,plain,
( $false
| spl0_1
| ~ spl0_148
| ~ spl0_170 ),
inference(subsumption_resolution,[status(thm)],[f4864,f117]) ).
thf(f4864,plain,
( ( c1 = c3 )
| ~ spl0_148
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f4863,f2646]) ).
thf(f4863,plain,
( ( c1
= ( g @ c4 @ c1 ) )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[status(thm)],[f4855]) ).
thf(f4855,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c4 @ c1 ) )
| ~ spl0_170 ),
inference(superposition,[status(thm)],[f70,f2804]) ).
thf(f4847,plain,
( spl0_9
| ~ spl0_143
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[status(thm)],[f4846]) ).
thf(f4846,plain,
( $false
| spl0_9
| ~ spl0_143
| ~ spl0_164 ),
inference(subsumption_resolution,[status(thm)],[f4845,f154]) ).
thf(f4845,plain,
( ( c1 = c2 )
| ~ spl0_143
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f4844,f2614]) ).
thf(f4844,plain,
( ( c1
= ( g @ c1 @ c3 ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[status(thm)],[f4835]) ).
thf(f4835,plain,
( ( c1
= ( g @ c1 @ c3 ) )
| ( c3 != c3 )
| ~ spl0_164 ),
inference(superposition,[status(thm)],[f73,f2771]) ).
thf(f4821,plain,
( spl0_1
| ~ spl0_123
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[status(thm)],[f4820]) ).
thf(f4820,plain,
( $false
| spl0_1
| ~ spl0_123
| ~ spl0_124 ),
inference(subsumption_resolution,[status(thm)],[f4819,f117]) ).
thf(f4819,plain,
( ( c1 = c3 )
| ~ spl0_123
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f4818,f2486]) ).
thf(f4818,plain,
( ( c1
= ( g @ c2 @ c2 ) )
| ~ spl0_123 ),
inference(trivial_inequality_removal,[status(thm)],[f4809]) ).
thf(f4809,plain,
( ( c1
= ( g @ c2 @ c2 ) )
| ( c3 != c3 )
| ~ spl0_123 ),
inference(superposition,[status(thm)],[f72,f2482]) ).
thf(f4801,plain,
( spl0_9
| spl0_49
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[status(thm)],[f4800]) ).
thf(f4800,plain,
( $false
| spl0_9
| spl0_49
| ~ spl0_145 ),
inference(subsumption_resolution,[status(thm)],[f4799,f154]) ).
thf(f4799,plain,
( ( c1 = c2 )
| spl0_49
| ~ spl0_145 ),
inference(subsumption_resolution,[status(thm)],[f4790,f476]) ).
thf(f476,plain,
( ( c8 != c2 )
| spl0_49 ),
inference(avatar_component_clause,[status(thm)],[f475]) ).
thf(f475,definition,
( spl0_49
<=> ( c8 = c2 ) ),
introduced(definition,[new_symbols(naming,[spl0_49])],[avatar_definition]) ).
thf(f4790,plain,
( ( c8 = c2 )
| ( c1 = c2 )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[status(thm)],[f4785]) ).
thf(f4785,plain,
( ( c5 != c5 )
| ( c8 = c2 )
| ( c1 = c2 )
| ~ spl0_145 ),
inference(superposition,[status(thm)],[f20,f2630]) ).
thf(f2630,plain,
( ( c5
= ( g @ c3 @ c2 ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[status(thm)],[f2628]) ).
thf(f4628,plain,
( spl0_94
| ~ spl0_150 ),
inference(avatar_split_clause,[status(thm)],[f4627,f2658,f1831]) ).
thf(f4627,plain,
( ( c4
= ( g @ c1 @ c5 ) )
| ~ spl0_150 ),
inference(forward_demodulation,[status(thm)],[f4625,f11]) ).
thf(f4625,plain,
( ( c4
= ( g @ c1 @ ( s @ c4 ) ) )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[status(thm)],[f4618]) ).
thf(f4618,plain,
( ( c2 != c2 )
| ( c4
= ( g @ c1 @ ( s @ c4 ) ) )
| ~ spl0_150 ),
inference(superposition,[status(thm)],[f9,f2660]) ).
thf(f2660,plain,
( ( c2
= ( g @ c1 @ c4 ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[status(thm)],[f2658]) ).
thf(f4487,plain,
( spl0_3
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[status(thm)],[f4486]) ).
thf(f4486,plain,
( $false
| spl0_3
| ~ spl0_141 ),
inference(subsumption_resolution,[status(thm)],[f4485,f125]) ).
thf(f4485,plain,
( ( c1 = c4 )
| ~ spl0_141 ),
inference(subsumption_resolution,[status(thm)],[f4478,f58]) ).
thf(f4478,plain,
( ( c8 = c4 )
| ( c1 = c4 )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[status(thm)],[f4472]) ).
thf(f4472,plain,
( ( c8 = c4 )
| ( c1 = c4 )
| ( c5 != c5 )
| ~ spl0_141 ),
inference(superposition,[status(thm)],[f20,f2606]) ).
thf(f2606,plain,
( ( c5
= ( g @ c1 @ c4 ) )
| ~ spl0_141 ),
inference(avatar_component_clause,[status(thm)],[f2604]) ).
thf(f4278,plain,
( spl0_49
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[status(thm)],[f4277]) ).
thf(f4277,plain,
( $false
| spl0_49
| ~ spl0_98 ),
inference(subsumption_resolution,[status(thm)],[f4276,f476]) ).
thf(f4276,plain,
( ( c8 = c2 )
| ~ spl0_98 ),
inference(subsumption_resolution,[status(thm)],[f4273,f36]) ).
thf(f4273,plain,
( ( c5 = c1 )
| ( c8 = c2 )
| ~ spl0_98 ),
inference(trivial_inequality_removal,[status(thm)],[f4268]) ).
thf(f4268,plain,
( ( c5 = c1 )
| ( c8 = c2 )
| ( c5 != c5 )
| ~ spl0_98 ),
inference(superposition,[status(thm)],[f22,f1850]) ).
thf(f1850,plain,
( ( c5
= ( g @ c2 @ c5 ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[status(thm)],[f1848]) ).
thf(f4141,plain,
( spl0_1
| ~ spl0_90
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[status(thm)],[f4140]) ).
thf(f4140,plain,
( $false
| spl0_1
| ~ spl0_90
| ~ spl0_93 ),
inference(subsumption_resolution,[status(thm)],[f4139,f117]) ).
thf(f4139,plain,
( ( c1 = c3 )
| ~ spl0_90
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f4138,f1816]) ).
thf(f3589,plain,
( ~ spl0_13
| ~ spl0_41 ),
inference(avatar_split_clause,[status(thm)],[f3576,f387,f210]) ).
thf(f3576,plain,
( ( c2 != c4 )
| ~ spl0_41 ),
inference(superposition,[status(thm)],[f15,f389]) ).
thf(f3526,plain,
( ~ spl0_13
| ~ spl0_86 ),
inference(avatar_split_clause,[status(thm)],[f3514,f1453,f210]) ).
thf(f3514,plain,
( ( c2 != c4 )
| ~ spl0_86 ),
inference(superposition,[status(thm)],[f15,f1455]) ).
thf(f3294,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[status(thm)],[f3293]) ).
thf(f3293,plain,
( $false
| ~ spl0_12 ),
inference(subsumption_resolution,[status(thm)],[f3286,f38]) ).
thf(f3286,plain,
( ( c5 = c3 )
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f13,f3285]) ).
thf(f3285,plain,
( ( c5
= ( s @ c2 ) )
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f3284,f25]) ).
thf(f3284,plain,
( ( c5
= ( s @ ( s @ c1 ) ) )
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f3241,f3238]) ).
thf(f3238,plain,
( ( c1
= ( s @ c5 ) )
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f27,f3222]) ).
thf(f3222,plain,
( ( c8 = c5 )
| ~ spl0_12 ),
inference(subsumption_resolution,[status(thm)],[f3221,f36]) ).
thf(f3221,plain,
( ( c8 = c5 )
| ( c5 = c1 )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f3218]) ).
thf(f3218,plain,
( ( c8 = c5 )
| ( c5 != c5 )
| ( c5 = c1 )
| ~ spl0_12 ),
inference(superposition,[status(thm)],[f20,f208]) ).
thf(f208,plain,
( ( c5
= ( g @ c8 @ c5 ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f206]) ).
thf(f3241,plain,
( ( c5
= ( s @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f79,f3222]) ).
thf(f3164,plain,
( spl0_50
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[status(thm)],[f3163]) ).
thf(f3163,plain,
( $false
| spl0_50
| ~ spl0_70 ),
inference(subsumption_resolution,[status(thm)],[f3162,f480]) ).
thf(f3162,plain,
( ( c8 = c1 )
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f3134,f27]) ).
thf(f3134,plain,
( ( c8
= ( s @ c8 ) )
| ~ spl0_70 ),
inference(backward_demodulation,[status(thm)],[f79,f992]) ).
thf(f992,plain,
( ( c8
= ( s @ ( s @ c5 ) ) )
| ~ spl0_70 ),
inference(avatar_component_clause,[status(thm)],[f990]) ).
thf(f3111,plain,
( ~ spl0_9
| spl0_24 ),
inference(avatar_contradiction_clause,[status(thm)],[f3110]) ).
thf(f3110,plain,
( $false
| ~ spl0_9
| spl0_24 ),
inference(subsumption_resolution,[status(thm)],[f3109,f263]) ).
thf(f3109,plain,
( ( c3 = c2 )
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f3104,f13]) ).
thf(f3104,plain,
( ( c2
= ( s @ c2 ) )
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f25,f153]) ).
thf(f153,plain,
( ( c1 = c2 )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f152]) ).
thf(f3077,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[status(thm)],[f3076]) ).
thf(f3076,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[status(thm)],[f3075,f35]) ).
thf(f3075,plain,
( ( c5 = c2 )
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f3054,f11]) ).
thf(f3054,plain,
( ( c2
= ( s @ c4 ) )
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f25,f124]) ).
thf(f124,plain,
( ( c1 = c4 )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f123]) ).
thf(f2889,plain,
( ~ spl0_13
| ~ spl0_55 ),
inference(avatar_split_clause,[status(thm)],[f2888,f652,f210]) ).
thf(f2888,plain,
( ( c2 != c4 )
| ~ spl0_55 ),
inference(subsumption_resolution,[status(thm)],[f2887,f16]) ).
thf(f2887,plain,
( ( c2 != c4 )
| ( c4
= ( g @ c3 @ c1 ) )
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f2150,f27]) ).
thf(f2150,plain,
( ( c4
= ( g @ c3 @ ( s @ c8 ) ) )
| ( c2 != c4 )
| ~ spl0_55 ),
inference(superposition,[status(thm)],[f9,f654]) ).
thf(f2328,plain,
( spl0_70
| spl0_50
| ~ spl0_66 ),
inference(avatar_split_clause,[status(thm)],[f2327,f943,f479,f990]) ).
thf(f2327,plain,
( ( c8
= ( s @ ( s @ c5 ) ) )
| spl0_50
| ~ spl0_66 ),
inference(subsumption_resolution,[status(thm)],[f2326,f480]) ).
thf(f2326,plain,
( ( c8
= ( s @ ( s @ c5 ) ) )
| ( c8 = c1 )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[status(thm)],[f2322]) ).
thf(f2322,plain,
( ( c5 != c5 )
| ( c8
= ( s @ ( s @ c5 ) ) )
| ( c8 = c1 )
| ~ spl0_66 ),
inference(superposition,[status(thm)],[f22,f945]) ).
thf(f945,plain,
( ( c5
= ( g @ ( s @ ( s @ c5 ) ) @ c8 ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[status(thm)],[f943]) ).
thf(f1268,plain,
( spl0_9
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[status(thm)],[f1267]) ).
thf(f1267,plain,
( $false
| spl0_9
| ~ spl0_50 ),
inference(subsumption_resolution,[status(thm)],[f1266,f154]) ).
thf(f1266,plain,
( ( c1 = c2 )
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f1263,f25]) ).
thf(f1263,plain,
( ( c1
= ( s @ c1 ) )
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f27,f481]) ).
thf(f481,plain,
( ( c8 = c1 )
| ~ spl0_50 ),
inference(avatar_component_clause,[status(thm)],[f479]) ).
thf(f1187,plain,
( spl0_1
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[status(thm)],[f1186]) ).
thf(f1186,plain,
( $false
| spl0_1
| ~ spl0_49 ),
inference(subsumption_resolution,[status(thm)],[f1185,f117]) ).
thf(f1185,plain,
( ( c1 = c3 )
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f1159,f13]) ).
thf(f1159,plain,
( ( c1
= ( s @ c2 ) )
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f27,f477]) ).
thf(f477,plain,
( ( c8 = c2 )
| ~ spl0_49 ),
inference(avatar_component_clause,[status(thm)],[f475]) ).
thf(f1095,plain,
( spl0_27
| ~ spl0_43 ),
inference(avatar_split_clause,[status(thm)],[f1094,f428,f275]) ).
thf(f1094,plain,
( ( c2
= ( g @ c8 @ c2 ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[status(thm)],[f1083]) ).
thf(f1083,plain,
( ( c2
= ( g @ c8 @ c2 ) )
| ( c4 != c4 )
| ~ spl0_43 ),
inference(superposition,[status(thm)],[f65,f430]) ).
thf(f430,plain,
( ( c4
= ( g @ c8 @ c3 ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[status(thm)],[f428]) ).
thf(f1008,plain,
( spl0_50
| spl0_70
| ~ spl0_45 ),
inference(avatar_split_clause,[status(thm)],[f983,f441,f990,f479]) ).
thf(f983,plain,
( ( c8 = c1 )
| ( c8
= ( s @ ( s @ c5 ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f979]) ).
thf(f979,plain,
( ( c5 != c5 )
| ( c8 = c1 )
| ( c8
= ( s @ ( s @ c5 ) ) )
| ~ spl0_45 ),
inference(superposition,[status(thm)],[f21,f443]) ).
thf(f443,plain,
( ( c5
= ( g @ c8 @ ( s @ ( s @ c5 ) ) ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[status(thm)],[f441]) ).
thf(f881,plain,
( spl0_50
| ~ spl0_40 ),
inference(avatar_split_clause,[status(thm)],[f880,f383,f479]) ).
thf(f880,plain,
( ( c8 = c1 )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[status(thm)],[f879]) ).
thf(f879,plain,
( ( c8 = c1 )
| ( c5 != c5 )
| ~ spl0_40 ),
inference(duplicate_literal_removal,[status(thm)],[f876]) ).
thf(f876,plain,
( ( c8 = c1 )
| ( c5 != c5 )
| ( c8 = c1 )
| ~ spl0_40 ),
inference(superposition,[status(thm)],[f22,f385]) ).
thf(f385,plain,
( ( c5
= ( g @ c1 @ c8 ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[status(thm)],[f383]) ).
thf(f747,plain,
( spl0_1
| ~ spl0_51
| ~ spl0_53 ),
inference(avatar_split_clause,[status(thm)],[f702,f609,f601,f115]) ).
thf(f702,plain,
( ( c1 = c3 )
| ~ spl0_51
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f628,f611]) ).
thf(f628,plain,
( ( c1
= ( g @ c4 @ c8 ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[status(thm)],[f620]) ).
thf(f620,plain,
( ( c3 != c3 )
| ( c1
= ( g @ c4 @ c8 ) )
| ~ spl0_51 ),
inference(superposition,[status(thm)],[f70,f603]) ).
thf(f720,plain,
( ~ spl0_1
| ~ spl0_30 ),
inference(avatar_split_clause,[status(thm)],[f554,f289,f115]) ).
thf(f554,plain,
( ( c1 != c3 )
| ~ spl0_30 ),
inference(superposition,[status(thm)],[f14,f291]) ).
thf(f545,plain,
( spl0_50
| ~ spl0_29 ),
inference(avatar_split_clause,[status(thm)],[f544,f285,f479]) ).
thf(f544,plain,
( ( c8 = c1 )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[status(thm)],[f543]) ).
thf(f543,plain,
( ( c8 = c1 )
| ( c5 != c5 )
| ~ spl0_29 ),
inference(duplicate_literal_removal,[status(thm)],[f539]) ).
thf(f539,plain,
( ( c5 != c5 )
| ( c8 = c1 )
| ( c8 = c1 )
| ~ spl0_29 ),
inference(superposition,[status(thm)],[f21,f287]) ).
thf(f287,plain,
( ( c5
= ( g @ c8 @ c1 ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[status(thm)],[f285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ127^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Feb 24 11:33:18 EST 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.32 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.41 ---- Original DTF file ---
% 0.16/0.41 thf(spec,logic,$$dhol).
% 0.16/0.41 %------------------------------------------------------------------------------
% 0.16/0.41 % File : PUZ127^5 : TPTP v9.2.1. Released v4.0.0.
% 0.16/0.41 % Domain : Puzzles
% 0.16/0.41 % Problem : TPS problem from CHECKERBOARD-THMS
% 0.16/0.41 % Version : Especial.
% 0.16/0.41 % English :
% 0.16/0.41
% 0.16/0.41 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.41 % Source : [Bro09]
% 0.16/0.41 % Names : tps_1182 [Bro09]
% 0.16/0.41
% 0.16/0.41 % Status : Theorem
% 0.16/0.41 % Rating : 0.78 v9.1.0, 0.75 v9.0.0, 0.70 v8.2.0, 0.62 v8.1.0, 0.64 v7.5.0, 0.71 v7.4.0, 0.67 v7.2.0, 0.62 v7.1.0, 0.75 v7.0.0, 0.71 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0, 0.71 v5.5.0, 0.67 v5.4.0, 1.00 v4.0.0
% 0.16/0.41 % Syntax : Number of formulae : 9 ( 0 unt; 8 typ; 0 def)
% 0.16/0.41 % Number of atoms : 25 ( 25 equ; 0 cnn)
% 0.16/0.41 % Maximal formula atoms : 25 ( 25 avg)
% 0.16/0.41 % Number of connectives : 77 ( 6 ~; 5 |; 16 &; 47 @)
% 0.16/0.41 % ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% 0.16/0.41 % Maximal formula depth : 19 ( 19 avg)
% 0.16/0.41 % Number of types : 1 ( 0 usr)
% 0.16/0.41 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.16/0.41 % Number of symbols : 9 ( 8 usr; 6 con; 0-2 aty)
% 0.16/0.41 % Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% 0.16/0.41 % SPC : TH0_THM_EQU_NAR
% 0.16/0.41
% 0.16/0.41 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.41 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.41 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.41 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.41 %------------------------------------------------------------------------------
% 0.16/0.41 thf(c5,type,
% 0.16/0.41 c5: $i ).
% 0.16/0.41
% 0.16/0.41 thf(g,type,
% 0.16/0.41 g: $i > $i > $i ).
% 0.16/0.41
% 0.16/0.41 thf(c4,type,
% 0.16/0.41 c4: $i ).
% 0.16/0.41
% 0.16/0.41 thf(c3,type,
% 0.16/0.41 c3: $i ).
% 0.16/0.41
% 0.16/0.41 thf(c2,type,
% 0.16/0.41 c2: $i ).
% 0.16/0.41
% 0.16/0.41 thf(c1,type,
% 0.16/0.41 c1: $i ).
% 0.16/0.41
% 0.16/0.41 thf(s,type,
% 0.16/0.41 s: $i > $i ).
% 0.16/0.41
% 0.16/0.41 thf(c8,type,
% 0.16/0.41 c8: $i ).
% 0.16/0.41
% 0.16/0.41 thf(cTOUGHNUT2,conjecture,
% 0.16/0.41 ~ ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) )
% 0.16/0.41 = c8 )
% 0.16/0.41 & ! [Xx: $i] :
% 0.16/0.41 ( ( s @ ( s @ ( s @ ( s @ Xx ) ) ) )
% 0.16/0.41 != Xx )
% 0.16/0.41 & ! [Xx: $i,Xy: $i] :
% 0.16/0.41 ( ( ( g @ Xx @ Xy )
% 0.16/0.41 = c5 )
% 0.16/0.41 <=> ( ( ( Xx = c8 )
% 0.16/0.41 & ( Xy = c8 ) )
% 0.16/0.41 | ( ( Xx = c1 )
% 0.16/0.41 & ( Xy = c1 ) ) ) )
% 0.16/0.41 & ! [Xx: $i,Xy: $i] :
% 0.16/0.41 ( ( ( g @ Xx @ Xy )
% 0.16/0.41 = c1 )
% 0.16/0.41 <=> ( ( g @ ( s @ Xx ) @ Xy )
% 0.16/0.41 = c3 ) )
% 0.16/0.41 & ! [Xx: $i,Xy: $i] :
% 0.16/0.41 ( ( ( g @ Xx @ Xy )
% 0.16/0.41 = c2 )
% 0.16/0.41 <=> ( ( g @ Xx @ ( s @ Xy ) )
% 0.16/0.41 = c4 ) )
% 0.16/0.41 & ! [Xx: $i,Xy: $i] :
% 0.16/0.41 ( ( ( g @ c1 @ Xy )
% 0.16/0.41 != c3 )
% 0.16/0.41 & ( ( g @ c8 @ Xy )
% 0.16/0.41 != c1 )
% 0.16/0.41 & ( ( g @ Xx @ c1 )
% 0.16/0.41 != c4 )
% 0.16/0.41 & ( ( g @ Xx @ c8 )
% 0.16/0.41 != c2 ) )
% 0.16/0.41 & ( c1
% 0.16/0.41 = ( s @ c8 ) )
% 0.16/0.41 & ( c2
% 0.16/0.41 = ( s @ c1 ) )
% 0.16/0.41 & ( c3
% 0.16/0.41 = ( s @ c2 ) )
% 0.16/0.41 & ( c4
% 0.16/0.41 = ( s @ c3 ) )
% 0.16/0.41 & ( c5
% 0.16/0.41 = ( s @ c4 ) )
% 0.16/0.41 & ! [Xx: $i,Xy: $i] :
% 0.16/0.41 ( ( ( g @ Xx @ Xy )
% 0.16/0.41 = c1 )
% 0.16/0.41 | ( ( g @ Xx @ Xy )
% 0.16/0.41 = c2 )
% 0.16/0.41 | ( ( g @ Xx @ Xy )
% 0.16/0.41 = c3 )
% 0.16/0.41 | ( ( g @ Xx @ Xy )
% 0.16/0.41 = c4 )
% 0.16/0.41 | ( ( g @ Xx @ Xy )
% 0.16/0.41 = c5 ) ) ) ).
% 0.16/0.41
% 0.16/0.41 %------------------------------------------------------------------------------
% 0.16/0.41 ------------------------
% 1.27/1.04 ---- Embedded in THF ---
% 1.27/1.04 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.27/1.04 %%% Generated on Tue Feb 24 11:33:18 EST 2026
% 1.27/1.04 %%% using '$$dhol' embedding, version 1.3.0.
% 1.27/1.04 %%% Logic specification used:
% 1.27/1.04 %%% thf(spec, logic, $$dhol).
% 1.27/1.04
% 1.27/1.04 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.lJGvwCr8Rt/DTF2DTF28414.p
% See solution above
% 1.27/1.04 ------------------------
% 1.27/1.04 ---- Cleaned THF ---
% 1.27/1.04 thf(c5,type,
% 1.27/1.04 c5: $i ).
% 1.27/1.04
% 1.27/1.04 thf(g,type,
% 1.27/1.04 g: $i > $i > $i ).
% 1.27/1.04
% 1.27/1.04 thf(c4,type,
% 1.27/1.04 c4: $i ).
% 1.27/1.04
% 1.27/1.04 thf(c3,type,
% 1.27/1.04 c3: $i ).
% 1.27/1.04
% 1.27/1.04 thf(c2,type,
% 1.27/1.04 c2: $i ).
% 1.27/1.04
% 1.27/1.04 thf(c1,type,
% 1.27/1.04 c1: $i ).
% 1.27/1.04
% 1.27/1.04 thf(s,type,
% 1.27/1.04 s: $i > $i ).
% 1.27/1.04
% 1.27/1.04 thf(c8,type,
% 1.27/1.04 c8: $i ).
% 1.27/1.04
% 1.27/1.04 thf(cTOUGHNUT2,conjecture,
% 1.27/1.04 ~ ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) )
% 1.27/1.04 = c8 )
% 1.27/1.04 & ! [Xx: $i] :
% 1.27/1.04 ( ( s @ ( s @ ( s @ ( s @ Xx ) ) ) )
% 1.27/1.04 != Xx )
% 1.27/1.04 & ! [Xx: $i,Xy: $i] :
% 1.27/1.04 ( ( ( g @ Xx @ Xy )
% 1.27/1.04 = c5 )
% 1.27/1.04 <=> ( ( ( Xx = c8 )
% 1.27/1.04 & ( Xy = c8 ) )
% 1.27/1.04 | ( ( Xx = c1 )
% 1.27/1.04 & ( Xy = c1 ) ) ) )
% 1.27/1.04 & ! [Xx: $i,Xy: $i] :
% 1.27/1.04 ( ( ( g @ Xx @ Xy )
% 1.27/1.04 = c1 )
% 1.27/1.04 <=> ( ( g @ ( s @ Xx ) @ Xy )
% 1.27/1.04 = c3 ) )
% 1.27/1.04 & ! [Xx: $i,Xy: $i] :
% 1.27/1.04 ( ( ( g @ Xx @ Xy )
% 1.27/1.04 = c2 )
% 1.27/1.04 <=> ( ( g @ Xx @ ( s @ Xy ) )
% 1.27/1.04 = c4 ) )
% 1.27/1.04 & ! [Xx: $i,Xy: $i] :
% 1.27/1.04 ( ( ( g @ c1 @ Xy )
% 1.27/1.04 != c3 )
% 1.27/1.04 & ( ( g @ c8 @ Xy )
% 1.27/1.04 != c1 )
% 1.27/1.04 & ( ( g @ Xx @ c1 )
% 1.27/1.04 != c4 )
% 1.27/1.04 & ( ( g @ Xx @ c8 )
% 1.27/1.04 != c2 ) )
% 1.27/1.04 & ( c1
% 1.27/1.04 = ( s @ c8 ) )
% 1.27/1.04 & ( c2
% 1.27/1.04 = ( s @ c1 ) )
% 1.27/1.04 & ( c3
% 1.27/1.04 = ( s @ c2 ) )
% 1.27/1.04 & ( c4
% 1.27/1.04 = ( s @ c3 ) )
% 1.27/1.04 & ( c5
% 1.27/1.04 = ( s @ c4 ) )
% 1.27/1.04 & ! [Xx: $i,Xy: $i] :
% 1.27/1.04 ( ( ( g @ Xx @ Xy )
% 1.27/1.04 = c1 )
% 1.27/1.04 | ( ( g @ Xx @ Xy )
% 1.27/1.04 = c2 )
% 1.27/1.04 | ( ( g @ Xx @ Xy )
% 1.27/1.04 = c3 )
% 1.27/1.04 | ( ( g @ Xx @ Xy )
% 1.27/1.04 = c4 )
% 1.27/1.04 | ( ( g @ Xx @ Xy )
% 1.27/1.04 = c5 ) ) ) ).
% 1.27/1.04 ------------------------
% 1.27/1.06 % (28514)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_28414 for (3000ds/183Mi)
% 1.27/1.06 % (28516)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_28414 for (3000ds/27Mi)
% 1.27/1.06 % (28519)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_28414 for (3000ds/275Mi)
% 1.27/1.06 % (28515)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_28414 for (3000ds/4Mi)
% 1.27/1.06 % (28518)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_28414 for (3000ds/2Mi)
% 1.27/1.06 % (28517)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_28414 for (3000ds/2Mi)
% 1.27/1.06 % (28520)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_28414 for (3000ds/18Mi)
% 1.27/1.06 % (28518)Instruction limit reached!
% 1.27/1.06 % (28518)------------------------------
% 1.27/1.06 % (28518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.06 % (28518)Termination reason: Unknown
% 1.27/1.06 % (28518)Termination phase: shuffling
% 1.27/1.06
% 1.27/1.06 % (28518)Memory used [KB]: 895
% 1.27/1.06 % (28518)Time elapsed: 0.002 s
% 1.27/1.06 % (28518)Instructions burned: 2 (million)
% 1.27/1.06 % (28518)------------------------------
% 1.27/1.06 % (28518)------------------------------
% 1.27/1.06 % (28517)Instruction limit reached!
% 1.27/1.06 % (28517)------------------------------
% 1.27/1.06 % (28517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.06 % (28517)Termination reason: Unknown
% 1.27/1.06 % (28517)Termination phase: Saturation
% 1.27/1.06
% 1.27/1.06 % (28517)Memory used [KB]: 5500
% 1.27/1.06 % (28517)Time elapsed: 0.003 s
% 1.27/1.06 % (28517)Instructions burned: 3 (million)
% 1.27/1.06 % (28517)------------------------------
% 1.27/1.06 % (28517)------------------------------
% 1.27/1.07 % (28515)Instruction limit reached!
% 1.27/1.07 % (28515)------------------------------
% 1.27/1.07 % (28515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.07 % (28515)Termination reason: Unknown
% 1.27/1.07 % (28515)Termination phase: Saturation
% 1.27/1.07
% 1.27/1.07 % (28515)Memory used [KB]: 5500
% 1.27/1.07 % (28515)Time elapsed: 0.004 s
% 1.27/1.07 % (28515)Instructions burned: 5 (million)
% 1.27/1.07 % (28515)------------------------------
% 1.27/1.07 % (28515)------------------------------
% 1.27/1.07 % (28520)Instruction limit reached!
% 1.27/1.07 % (28520)------------------------------
% 1.27/1.07 % (28520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.07 % (28520)Termination reason: Unknown
% 1.27/1.07 % (28520)Termination phase: Saturation
% 1.27/1.07
% 1.27/1.07 % (28520)Memory used [KB]: 5628
% 1.27/1.07 % (28520)Time elapsed: 0.012 s
% 1.27/1.07 % (28520)Instructions burned: 19 (million)
% 1.27/1.07 % (28520)------------------------------
% 1.27/1.07 % (28520)------------------------------
% 1.27/1.08 % (28516)Instruction limit reached!
% 1.27/1.08 % (28516)------------------------------
% 1.27/1.08 % (28516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.08 % (28516)Termination reason: Unknown
% 1.27/1.08 % (28516)Termination phase: Saturation
% 1.27/1.08
% 1.27/1.08 % (28516)Memory used [KB]: 5628
% 1.27/1.08 % (28516)Time elapsed: 0.015 s
% 1.27/1.08 % (28516)Instructions burned: 27 (million)
% 1.27/1.08 % (28516)------------------------------
% 1.27/1.08 % (28516)------------------------------
% 1.27/1.08 % (28521)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/3Mi)
% 1.27/1.08 % (28522)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/37Mi)
% 1.27/1.08 % (28521)Instruction limit reached!
% 1.27/1.08 % (28521)------------------------------
% 1.27/1.08 % (28521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.08 % (28521)Termination reason: Unknown
% 1.27/1.08 % (28521)Termination phase: Saturation
% 1.27/1.08
% 1.27/1.08 % (28521)Memory used [KB]: 5500
% 1.27/1.08 % (28521)Time elapsed: 0.003 s
% 1.27/1.08 % (28521)Instructions burned: 4 (million)
% 1.27/1.08 % (28521)------------------------------
% 1.27/1.08 % (28521)------------------------------
% 1.27/1.08 % (28523)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/15Mi)
% 1.27/1.09 % (28524)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/3Mi)
% 1.27/1.09 % (28523)Instruction limit reached!
% 1.27/1.09 % (28523)------------------------------
% 1.27/1.09 % (28523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.09 % (28523)Termination reason: Unknown
% 1.27/1.09 % (28523)Termination phase: Saturation
% 1.27/1.09
% 1.27/1.09 % (28523)Memory used [KB]: 5628
% 1.27/1.09 % (28523)Time elapsed: 0.010 s
% 1.27/1.09 % (28523)Instructions burned: 16 (million)
% 1.27/1.09 % (28523)------------------------------
% 1.27/1.09 % (28523)------------------------------
% 1.27/1.09 % (28524)Instruction limit reached!
% 1.27/1.09 % (28524)------------------------------
% 1.27/1.09 % (28524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.09 % (28524)Termination reason: Unknown
% 1.27/1.09 % (28524)Termination phase: Saturation
% 1.27/1.09
% 1.27/1.09 % (28524)Memory used [KB]: 5500
% 1.27/1.09 % (28524)Time elapsed: 0.003 s
% 1.27/1.09 % (28524)Instructions burned: 4 (million)
% 1.27/1.09 % (28524)------------------------------
% 1.27/1.09 % (28524)------------------------------
% 1.27/1.09 % (28525)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/1041Mi)
% 1.27/1.10 % (28526)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/7Mi)
% 1.27/1.10 % (28522)Instruction limit reached!
% 1.27/1.10 % (28522)------------------------------
% 1.27/1.10 % (28522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.10 % (28522)Termination reason: Unknown
% 1.27/1.10 % (28522)Termination phase: Saturation
% 1.27/1.10
% 1.27/1.10 % (28522)Memory used [KB]: 5756
% 1.27/1.10 % (28522)Time elapsed: 0.020 s
% 1.27/1.10 % (28522)Instructions burned: 37 (million)
% 1.27/1.10 % (28522)------------------------------
% 1.27/1.10 % (28522)------------------------------
% 1.27/1.10 % (28526)Instruction limit reached!
% 1.27/1.10 % (28526)------------------------------
% 1.27/1.10 % (28526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.10 % (28526)Termination reason: Unknown
% 1.27/1.10 % (28526)Termination phase: Saturation
% 1.27/1.10
% 1.27/1.10 % (28526)Memory used [KB]: 1023
% 1.27/1.10 % (28526)Time elapsed: 0.006 s
% 1.27/1.10 % (28526)Instructions burned: 8 (million)
% 1.27/1.10 % (28526)------------------------------
% 1.27/1.10 % (28526)------------------------------
% 1.27/1.11 % (28527)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/16Mi)
% 1.27/1.11 % (28528)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/3Mi)
% 1.27/1.11 % (28528)Instruction limit reached!
% 1.27/1.11 % (28528)------------------------------
% 1.27/1.11 % (28528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.11 % (28528)Termination reason: Unknown
% 1.27/1.11 % (28528)Termination phase: Twee Goal Transformation
% 1.27/1.11
% 1.27/1.11 % (28528)Memory used [KB]: 1023
% 1.27/1.11 % (28528)Time elapsed: 0.003 s
% 1.27/1.11 % (28528)Instructions burned: 4 (million)
% 1.27/1.11 % (28528)------------------------------
% 1.27/1.11 % (28528)------------------------------
% 1.27/1.12 % (28527)Instruction limit reached!
% 1.27/1.12 % (28527)------------------------------
% 1.27/1.12 % (28527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.12 % (28527)Termination reason: Unknown
% 1.27/1.12 % (28527)Termination phase: Saturation
% 1.27/1.12
% 1.27/1.12 % (28527)Memory used [KB]: 5628
% 1.27/1.12 % (28527)Time elapsed: 0.010 s
% 1.27/1.12 % (28527)Instructions burned: 16 (million)
% 1.27/1.12 % (28527)------------------------------
% 1.27/1.12 % (28527)------------------------------
% 1.27/1.12 % (28530)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/7Mi)
% 1.27/1.12 % (28529)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/3Mi)
% 1.27/1.12 % (28529)Instruction limit reached!
% 1.27/1.12 % (28529)------------------------------
% 1.27/1.12 % (28529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.12 % (28529)Termination reason: Unknown
% 1.27/1.12 % (28529)Termination phase: Property scanning
% 1.27/1.12
% 1.27/1.12 % (28529)Memory used [KB]: 1023
% 1.27/1.12 % (28529)Time elapsed: 0.003 s
% 1.27/1.12 % (28529)Instructions burned: 4 (million)
% 1.27/1.12 % (28529)------------------------------
% 1.27/1.12 % (28529)------------------------------
% 1.27/1.12 % (28530)Instruction limit reached!
% 1.27/1.12 % (28530)------------------------------
% 1.27/1.12 % (28530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.12 % (28530)Termination reason: Unknown
% 1.27/1.12 % (28530)Termination phase: Saturation
% 1.27/1.12
% 1.27/1.12 % (28530)Memory used [KB]: 5500
% 1.27/1.12 % (28530)Time elapsed: 0.005 s
% 1.27/1.12 % (28530)Instructions burned: 8 (million)
% 1.27/1.12 % (28530)------------------------------
% 1.27/1.12 % (28530)------------------------------
% 1.27/1.12 % (28531)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/3Mi)
% 1.30/1.13 % (28531)Instruction limit reached!
% 1.30/1.13 % (28531)------------------------------
% 1.30/1.13 % (28531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.13 % (28531)Termination reason: Unknown
% 1.30/1.13 % (28531)Termination phase: Saturation
% 1.30/1.13
% 1.30/1.13 % (28531)Memory used [KB]: 1023
% 1.30/1.13 % (28531)Time elapsed: 0.003 s
% 1.30/1.13 % (28531)Instructions burned: 4 (million)
% 1.30/1.13 % (28531)------------------------------
% 1.30/1.13 % (28531)------------------------------
% 1.30/1.13 % (28532)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/4Mi)
% 1.30/1.13 % (28532)Instruction limit reached!
% 1.30/1.13 % (28532)------------------------------
% 1.30/1.13 % (28532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.13 % (28532)Termination reason: Unknown
% 1.30/1.13 % (28532)Termination phase: Saturation
% 1.30/1.13
% 1.30/1.13 % (28532)Memory used [KB]: 5500
% 1.30/1.13 % (28532)Time elapsed: 0.003 s
% 1.30/1.13 % (28532)Instructions burned: 4 (million)
% 1.30/1.13 % (28532)------------------------------
% 1.30/1.13 % (28532)------------------------------
% 1.30/1.13 % (28533)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/18Mi)
% 1.30/1.14 % (28534)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/710Mi)
% 1.30/1.14 % (28536)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/6Mi)
% 1.30/1.14 % (28519)Refutation not found, non-redundant clauses discarded% (28519)------------------------------
% 1.30/1.14 % (28519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.14 % (28519)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.30/1.14
% 1.30/1.14 % (28519)Memory used [KB]: 5884
% 1.30/1.14 % (28519)Time elapsed: 0.081 s
% 1.30/1.14 % (28519)Instructions burned: 241 (million)
% 1.30/1.14 % (28519)------------------------------
% 1.30/1.14 % (28519)------------------------------
% 1.30/1.14 % (28533)Instruction limit reached!
% 1.30/1.14 % (28533)------------------------------
% 1.30/1.14 % (28533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.14 % (28533)Termination reason: Unknown
% 1.30/1.14 % (28533)Termination phase: Saturation
% 1.30/1.14
% 1.30/1.14 % (28533)Memory used [KB]: 5628
% 1.30/1.14 % (28533)Time elapsed: 0.011 s
% 1.30/1.14 % (28533)Instructions burned: 19 (million)
% 1.30/1.14 % (28533)------------------------------
% 1.30/1.14 % (28533)------------------------------
% 1.30/1.15 % (28536)Instruction limit reached!
% 1.30/1.15 % (28536)------------------------------
% 1.30/1.15 % (28536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.15 % (28536)Termination reason: Unknown
% 1.30/1.15 % (28536)Termination phase: Saturation
% 1.30/1.15
% 1.30/1.15 % (28536)Memory used [KB]: 5500
% 1.30/1.15 % (28536)Time elapsed: 0.005 s
% 1.30/1.15 % (28536)Instructions burned: 7 (million)
% 1.30/1.15 % (28536)------------------------------
% 1.30/1.15 % (28536)------------------------------
% 1.30/1.15 % (28537)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/902Mi)
% 1.30/1.15 % (28514)Instruction limit reached!
% 1.30/1.15 % (28514)------------------------------
% 1.30/1.15 % (28514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.15 % (28514)Termination reason: Unknown
% 1.30/1.15 % (28514)Termination phase: Saturation
% 1.30/1.15
% 1.30/1.15 % (28514)Memory used [KB]: 6012
% 1.30/1.15 % (28514)Time elapsed: 0.092 s
% 1.30/1.15 % (28514)Instructions burned: 184 (million)
% 1.30/1.15 % (28514)------------------------------
% 1.30/1.15 % (28514)------------------------------
% 1.30/1.15 % (28539)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/5Mi)
% 1.30/1.16 % (28539)Instruction limit reached!
% 1.30/1.16 % (28539)------------------------------
% 1.30/1.16 % (28539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.16 % (28539)Termination reason: Unknown
% 1.30/1.16 % (28539)Termination phase: Saturation
% 1.30/1.16
% 1.30/1.16 % (28539)Memory used [KB]: 5500
% 1.30/1.16 % (28539)Time elapsed: 0.003 s
% 1.30/1.16 % (28539)Instructions burned: 7 (million)
% 1.30/1.16 % (28539)------------------------------
% 1.30/1.16 % (28539)------------------------------
% 1.30/1.16 % (28538)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/21Mi)
% 1.30/1.16 % (28540)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_28414 for (2999ds/6Mi)
% 1.30/1.16 % (28540)Instruction limit reached!
% 1.30/1.16 % (28540)------------------------------
% 1.30/1.16 % (28540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.16 % (28540)Termination reason: Unknown
% 1.30/1.16 % (28540)Termination phase: Saturation
% 1.30/1.16
% 1.30/1.16 % (28540)Memory used [KB]: 5500
% 1.30/1.16 % (28540)Time elapsed: 0.004 s
% 1.30/1.16 % (28540)Instructions burned: 6 (million)
% 1.30/1.16 % (28540)------------------------------
% 1.30/1.16 % (28540)------------------------------
% 1.30/1.17 % (28541)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_28414 for (2998ds/377Mi)
% 1.30/1.17 % (28542)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_28414 for (2998ds/779Mi)
% 1.30/1.17 % (28538)Instruction limit reached!
% 1.30/1.17 % (28538)------------------------------
% 1.30/1.17 % (28538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.17 % (28538)Termination reason: Unknown
% 1.30/1.17 % (28538)Termination phase: Saturation
% 1.30/1.17
% 1.30/1.17 % (28538)Memory used [KB]: 5628
% 1.30/1.17 % (28538)Time elapsed: 0.013 s
% 1.30/1.17 % (28538)Instructions burned: 22 (million)
% 1.30/1.17 % (28538)------------------------------
% 1.30/1.17 % (28538)------------------------------
% 1.30/1.18 % (28543)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_28414 for (2998ds/19Mi)
% 1.30/1.19 % (28544)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_28414 for (2998ds/879Mi)
% 1.30/1.19 % (28543)Instruction limit reached!
% 1.30/1.19 % (28543)------------------------------
% 1.30/1.19 % (28543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.19 % (28543)Termination reason: Unknown
% 1.30/1.19 % (28543)Termination phase: Saturation
% 1.30/1.19
% 1.30/1.19 % (28543)Memory used [KB]: 5628
% 1.30/1.19 % (28543)Time elapsed: 0.010 s
% 1.30/1.19 % (28543)Instructions burned: 19 (million)
% 1.30/1.19 % (28543)------------------------------
% 1.30/1.19 % (28543)------------------------------
% 1.30/1.20 % (28545)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_28414 for (2998ds/17Mi)
% 1.30/1.21 % (28545)Instruction limit reached!
% 1.30/1.21 % (28545)------------------------------
% 1.30/1.21 % (28545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.21 % (28545)Termination reason: Unknown
% 1.30/1.21 % (28545)Termination phase: Saturation
% 1.30/1.21
% 1.30/1.21 % (28545)Memory used [KB]: 5628
% 1.30/1.21 % (28545)Time elapsed: 0.010 s
% 1.30/1.21 % (28545)Instructions burned: 17 (million)
% 1.30/1.21 % (28545)------------------------------
% 1.30/1.21 % (28545)------------------------------
% 1.30/1.23 % (28546)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_28414 for (2998ds/3Mi)
% 1.30/1.23 % (28546)Instruction limit reached!
% 1.30/1.23 % (28546)------------------------------
% 1.30/1.23 % (28546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.23 % (28546)Termination reason: Unknown
% 1.30/1.23 % (28546)Termination phase: Saturation
% 1.30/1.23
% 1.30/1.23 % (28546)Memory used [KB]: 1023
% 1.30/1.23 % (28546)Time elapsed: 0.003 s
% 1.30/1.23 % (28546)Instructions burned: 4 (million)
% 1.30/1.23 % (28546)------------------------------
% 1.30/1.23 % (28546)------------------------------
% 1.30/1.25 % (28547)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_28414 for (2998ds/30Mi)
% 1.30/1.26 % (28547)Instruction limit reached!
% 1.30/1.26 % (28547)------------------------------
% 1.30/1.26 % (28547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.26 % (28547)Termination reason: Unknown
% 1.30/1.26 % (28547)Termination phase: Saturation
% 1.30/1.26
% 1.30/1.26 % (28547)Memory used [KB]: 5628
% 1.30/1.26 % (28547)Time elapsed: 0.016 s
% 1.30/1.26 % (28547)Instructions burned: 30 (million)
% 1.30/1.26 % (28547)------------------------------
% 1.30/1.26 % (28547)------------------------------
% 1.30/1.30 % (28548)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_28414 for (2997ds/127Mi)
% 1.30/1.35 % (28541)Instruction limit reached!
% 1.30/1.35 % (28541)------------------------------
% 1.30/1.35 % (28541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.35 % (28541)Termination reason: Unknown
% 1.30/1.35 % (28541)Termination phase: Saturation
% 1.30/1.35
% 1.30/1.35 % (28541)Memory used [KB]: 6012
% 1.30/1.35 % (28541)Time elapsed: 0.187 s
% 1.30/1.35 % (28541)Instructions burned: 377 (million)
% 1.30/1.35 % (28541)------------------------------
% 1.30/1.35 % (28541)------------------------------
% 1.30/1.37 % (28549)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_28414 for (2996ds/100Mi)
% 1.30/1.38 % (28548)Instruction limit reached!
% 1.30/1.38 % (28548)------------------------------
% 1.30/1.38 % (28548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.38 % (28548)Termination reason: Unknown
% 1.30/1.38 % (28548)Termination phase: Saturation
% 1.30/1.38
% 1.30/1.38 % (28548)Memory used [KB]: 5756
% 1.30/1.38 % (28548)Time elapsed: 0.095 s
% 1.30/1.38 % (28548)Instructions burned: 128 (million)
% 1.30/1.38 % (28548)------------------------------
% 1.30/1.38 % (28548)------------------------------
% 1.30/1.39 % (28550)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_28414 for (2996ds/3Mi)
% 1.30/1.39 % (28550)Instruction limit reached!
% 1.30/1.39 % (28550)------------------------------
% 1.30/1.39 % (28550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.39 % (28550)Termination reason: Unknown
% 1.30/1.39 % (28550)Termination phase: Saturation
% 1.30/1.39
% 1.30/1.39 % (28550)Memory used [KB]: 1023
% 1.30/1.39 % (28550)Time elapsed: 0.003 s
% 1.30/1.39 % (28550)Instructions burned: 4 (million)
% 1.30/1.39 % (28550)------------------------------
% 1.30/1.39 % (28550)------------------------------
% 1.30/1.41 % (28551)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_28414 for (2996ds/20Mi)
% 1.30/1.42 % (28549)Instruction limit reached!
% 1.30/1.42 % (28549)------------------------------
% 1.30/1.42 % (28549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.42 % (28549)Termination reason: Unknown
% 1.30/1.42 % (28549)Termination phase: Saturation
% 1.30/1.42
% 1.30/1.42 % (28549)Memory used [KB]: 5756
% 1.30/1.42 % (28549)Time elapsed: 0.051 s
% 1.30/1.42 % (28549)Instructions burned: 101 (million)
% 1.30/1.42 % (28549)------------------------------
% 1.30/1.42 % (28549)------------------------------
% 1.30/1.42 % (28551)Instruction limit reached!
% 1.30/1.42 % (28551)------------------------------
% 1.30/1.42 % (28551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.42 % (28551)Termination reason: Unknown
% 1.30/1.42 % (28551)Termination phase: Saturation
% 1.30/1.42
% 1.30/1.42 % (28551)Memory used [KB]: 5628
% 1.30/1.42 % (28551)Time elapsed: 0.012 s
% 1.30/1.42 % (28551)Instructions burned: 20 (million)
% 1.30/1.42 % (28551)------------------------------
% 1.30/1.42 % (28551)------------------------------
% 1.30/1.44 % (28553)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_28414 for (2996ds/107Mi)
% 1.30/1.44 % (28552)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_28414 for (2996ds/86Mi)
% 1.30/1.47 % (28534)Refutation not found, non-redundant clauses discarded% (28534)------------------------------
% 1.30/1.47 % (28534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.47 % (28534)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.30/1.47
% 1.30/1.47 % (28534)Memory used [KB]: 6012
% 1.30/1.47 % (28534)Time elapsed: 0.330 s
% 1.30/1.47 % (28534)Instructions burned: 701 (million)
% 1.30/1.47 % (28534)------------------------------
% 1.30/1.47 % (28534)------------------------------
% 1.30/1.48 % (28554)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_28414 for (2995ds/39Mi)
% 1.30/1.48 % (28552)Instruction limit reached!
% 1.30/1.48 % (28552)------------------------------
% 1.30/1.48 % (28552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.48 % (28552)Termination reason: Unknown
% 1.30/1.48 % (28552)Termination phase: Saturation
% 1.30/1.48
% 1.30/1.48 % (28552)Memory used [KB]: 5884
% 1.30/1.48 % (28552)Time elapsed: 0.046 s
% 1.30/1.48 % (28552)Instructions burned: 87 (million)
% 1.30/1.48 % (28552)------------------------------
% 1.30/1.48 % (28552)------------------------------
% 1.30/1.49 % (28554)Instruction limit reached!
% 1.30/1.49 % (28554)------------------------------
% 1.30/1.49 % (28554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.49 % (28554)Termination reason: Unknown
% 1.30/1.49 % (28554)Termination phase: Saturation
% 1.30/1.49
% 1.30/1.49 % (28554)Memory used [KB]: 5628
% 1.30/1.49 % (28554)Time elapsed: 0.013 s
% 1.30/1.49 % (28554)Instructions burned: 40 (million)
% 1.30/1.49 % (28554)------------------------------
% 1.30/1.49 % (28554)------------------------------
% 1.30/1.49 % (28553)Instruction limit reached!
% 1.30/1.49 % (28553)------------------------------
% 1.30/1.49 % (28553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.49 % (28553)Termination reason: Unknown
% 1.30/1.49 % (28553)Termination phase: Saturation
% 1.30/1.49
% 1.30/1.49 % (28553)Memory used [KB]: 5756
% 1.30/1.49 % (28553)Time elapsed: 0.053 s
% 1.30/1.49 % (28553)Instructions burned: 107 (million)
% 1.30/1.49 % (28553)------------------------------
% 1.30/1.49 % (28553)------------------------------
% 1.30/1.50 % (28555)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_28414 for (2995ds/448Mi)
% 1.30/1.50 % (28556)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_28414 for (2995ds/46Mi)
% 1.30/1.51 % (28557)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_28414 for (2995ds/98Mi)
% 1.30/1.53 % (28556)Instruction limit reached!
% 1.30/1.53 % (28556)------------------------------
% 1.30/1.53 % (28556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.53 % (28556)Termination reason: Unknown
% 1.30/1.53 % (28556)Termination phase: Saturation
% 1.30/1.53
% 1.30/1.53 % (28556)Memory used [KB]: 5756
% 1.30/1.53 % (28556)Time elapsed: 0.026 s
% 1.30/1.53 % (28556)Instructions burned: 47 (million)
% 1.30/1.53 % (28556)------------------------------
% 1.30/1.53 % (28556)------------------------------
% 1.30/1.55 % (28537)Instruction limit reached!
% 1.30/1.55 % (28537)------------------------------
% 1.30/1.55 % (28537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.55 % (28537)Termination reason: Unknown
% 1.30/1.55 % (28537)Termination phase: Saturation
% 1.30/1.55
% 1.30/1.55 % (28537)Memory used [KB]: 11897
% 1.30/1.55 % (28537)Time elapsed: 0.408 s
% 1.30/1.55 % (28537)Instructions burned: 903 (million)
% 1.30/1.55 % (28537)------------------------------
% 1.30/1.55 % (28537)------------------------------
% 1.30/1.55 % (28558)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_28414 for (2995ds/507Mi)
% 1.30/1.55 % (28542)Instruction limit reached!
% 1.30/1.55 % (28542)------------------------------
% 1.30/1.55 % (28542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.55 % (28542)Termination reason: Unknown
% 1.30/1.55 % (28542)Termination phase: Saturation
% 1.30/1.55
% 1.30/1.55 % (28542)Memory used [KB]: 6780
% 1.30/1.55 % (28542)Time elapsed: 0.383 s
% 1.30/1.55 % (28542)Instructions burned: 781 (million)
% 1.30/1.55 % (28542)------------------------------
% 1.30/1.55 % (28542)------------------------------
% 1.30/1.55 % (28557)Instruction limit reached!
% 1.30/1.55 % (28557)------------------------------
% 1.30/1.55 % (28557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.55 % (28557)Termination reason: Unknown
% 1.30/1.55 % (28557)Termination phase: Saturation
% 1.30/1.55
% 1.30/1.55 % (28557)Memory used [KB]: 1279
% 1.30/1.55 % (28557)Time elapsed: 0.049 s
% 1.30/1.55 % (28557)Instructions burned: 99 (million)
% 1.30/1.55 % (28557)------------------------------
% 1.30/1.55 % (28557)------------------------------
% 1.30/1.55 % (28525)Instruction limit reached!
% 1.30/1.55 % (28525)------------------------------
% 1.30/1.55 % (28525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.55 % (28525)Termination reason: Unknown
% 1.30/1.55 % (28525)Termination phase: Saturation
% 1.30/1.55
% 1.30/1.55 % (28525)Memory used [KB]: 7291
% 1.30/1.55 % (28525)Time elapsed: 0.464 s
% 1.30/1.55 % (28525)Instructions burned: 1041 (million)
% 1.30/1.55 % (28525)------------------------------
% 1.30/1.55 % (28525)------------------------------
% 1.30/1.56 % (28559)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_28414 for (2995ds/149Mi)
% 1.30/1.57 % (28560)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_28414 for (2994ds/39Mi)
% 1.30/1.57 % (28561)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_28414 for (2994ds/6Mi)
% 1.30/1.57 % (28561)Instruction limit reached!
% 1.30/1.57 % (28561)------------------------------
% 1.30/1.57 % (28561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.57 % (28561)Termination reason: Unknown
% 1.30/1.57 % (28561)Termination phase: Saturation
% 1.30/1.57
% 1.30/1.57 % (28561)Memory used [KB]: 9978
% 1.30/1.57 % (28561)Time elapsed: 0.005 s
% 1.30/1.57 % (28561)Instructions burned: 7 (million)
% 1.30/1.57 % (28561)------------------------------
% 1.30/1.57 % (28561)------------------------------
% 1.30/1.57 % (28562)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_28414 for (2994ds/1087Mi)
% 1.30/1.59 % (28560)Instruction limit reached!
% 1.30/1.59 % (28560)------------------------------
% 1.30/1.59 % (28560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.59 % (28560)Termination reason: Unknown
% 1.30/1.59 % (28560)Termination phase: Saturation
% 1.30/1.59
% 1.30/1.59 % (28560)Memory used [KB]: 5628
% 1.30/1.59 % (28560)Time elapsed: 0.021 s
% 1.30/1.59 % (28560)Instructions burned: 40 (million)
% 1.30/1.59 % (28560)------------------------------
% 1.30/1.59 % (28560)------------------------------
% 1.30/1.59 % (28563)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_28414 for (2994ds/47Mi)
% 1.30/1.59 % (28544)Instruction limit reached!
% 1.30/1.59 % (28544)------------------------------
% 1.30/1.59 % (28544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.59 % (28544)Termination reason: Unknown
% 1.30/1.59 % (28544)Termination phase: Saturation
% 1.30/1.59
% 1.30/1.59 % (28544)Memory used [KB]: 6268
% 1.30/1.59 % (28544)Time elapsed: 0.409 s
% 1.30/1.59 % (28544)Instructions burned: 880 (million)
% 1.30/1.59 % (28544)------------------------------
% 1.30/1.59 % (28544)------------------------------
% 1.30/1.61 % (28565)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_28414 for (2994ds/432Mi)
% 1.30/1.61 % (28564)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_28414 for (2994ds/44Mi)
% 1.30/1.61 % (28563)Instruction limit reached!
% 1.30/1.61 % (28563)------------------------------
% 1.30/1.61 % (28563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.61 % (28563)Termination reason: Unknown
% 1.30/1.61 % (28563)Termination phase: Saturation
% 1.30/1.61
% 1.30/1.61 % (28563)Memory used [KB]: 5628
% 1.30/1.61 % (28563)Time elapsed: 0.025 s
% 1.30/1.61 % (28563)Instructions burned: 48 (million)
% 1.30/1.61 % (28563)------------------------------
% 1.30/1.61 % (28563)------------------------------
% 1.30/1.63 % (28564)Instruction limit reached!
% 1.30/1.63 % (28564)------------------------------
% 1.30/1.63 % (28564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.63 % (28564)Termination reason: Unknown
% 1.30/1.63 % (28564)Termination phase: Saturation
% 1.30/1.63
% 1.30/1.63 % (28564)Memory used [KB]: 1279
% 1.30/1.63 % (28564)Time elapsed: 0.042 s
% 1.30/1.63 % (28564)Instructions burned: 46 (million)
% 1.30/1.63 % (28564)------------------------------
% 1.30/1.63 % (28564)------------------------------
% 1.30/1.63 % (28566)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_28414 for (2994ds/62Mi)
% 1.30/1.63 % (28567)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_28414 for (2994ds/31Mi)
% 1.30/1.64 % (28559)Instruction limit reached!
% 1.30/1.64 % (28559)------------------------------
% 1.30/1.64 % (28559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.64 % (28559)Termination reason: Unknown
% 1.30/1.64 % (28559)Termination phase: Saturation
% 1.30/1.64
% 1.30/1.64 % (28559)Memory used [KB]: 5756
% 1.30/1.64 % (28559)Time elapsed: 0.078 s
% 1.30/1.64 % (28559)Instructions burned: 149 (million)
% 1.30/1.64 % (28559)------------------------------
% 1.30/1.64 % (28559)------------------------------
% 1.30/1.64 % (28567)Instruction limit reached!
% 1.30/1.64 % (28567)------------------------------
% 1.30/1.64 % (28567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.64 % (28567)Termination reason: Unknown
% 1.30/1.64 % (28567)Termination phase: Saturation
% 1.30/1.64
% 1.30/1.64 % (28567)Memory used [KB]: 5756
% 1.30/1.64 % (28567)Time elapsed: 0.011 s
% 1.30/1.64 % (28567)Instructions burned: 31 (million)
% 1.30/1.64 % (28567)------------------------------
% 1.30/1.64 % (28567)------------------------------
% 1.30/1.65 % (28569)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_28414 for (2994ds/453Mi)
% 1.30/1.66 % (28568)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_28414 for (2994ds/96Mi)
% 1.30/1.66 % (28566)Instruction limit reached!
% 1.30/1.66 % (28566)------------------------------
% 1.30/1.66 % (28566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.66 % (28566)Termination reason: Unknown
% 1.30/1.66 % (28566)Termination phase: Saturation
% 1.30/1.66
% 1.30/1.66 % (28566)Memory used [KB]: 5756
% 1.30/1.66 % (28566)Time elapsed: 0.031 s
% 1.30/1.66 % (28566)Instructions burned: 62 (million)
% 1.30/1.66 % (28566)------------------------------
% 1.30/1.66 % (28566)------------------------------
% 1.30/1.68 % (28570)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_28414 for (2993ds/71Mi)
% 1.30/1.70 % (28568)Instruction limit reached!
% 1.30/1.70 % (28568)------------------------------
% 1.30/1.70 % (28568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.70 % (28568)Termination reason: Unknown
% 1.30/1.70 % (28568)Termination phase: Saturation
% 1.30/1.70
% 1.30/1.70 % (28568)Memory used [KB]: 5756
% 1.30/1.70 % (28568)Time elapsed: 0.049 s
% 1.30/1.70 % (28568)Instructions burned: 96 (million)
% 1.30/1.70 % (28568)------------------------------
% 1.30/1.70 % (28568)------------------------------
% 1.30/1.70 % (28555)Instruction limit reached!
% 1.30/1.70 % (28555)------------------------------
% 1.30/1.70 % (28555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.70 % (28555)Termination reason: Unknown
% 1.30/1.70 % (28555)Termination phase: Saturation
% 1.30/1.70
% 1.30/1.70 % (28555)Memory used [KB]: 6780
% 1.30/1.70 % (28555)Time elapsed: 0.218 s
% 1.30/1.70 % (28555)Instructions burned: 448 (million)
% 1.30/1.70 % (28555)------------------------------
% 1.30/1.70 % (28555)------------------------------
% 1.30/1.71 % (28570)Instruction limit reached!
% 1.30/1.71 % (28570)------------------------------
% 1.30/1.71 % (28570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.71 % (28570)Termination reason: Unknown
% 1.30/1.71 % (28570)Termination phase: Saturation
% 1.30/1.71
% 1.30/1.71 % (28570)Memory used [KB]: 5756
% 1.30/1.71 % (28570)Time elapsed: 0.037 s
% 1.30/1.71 % (28570)Instructions burned: 71 (million)
% 1.30/1.71 % (28570)------------------------------
% 1.30/1.71 % (28570)------------------------------
% 1.30/1.72 % (28572)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_28414 for (2993ds/11Mi)
% 1.30/1.72 % (28572)Instruction limit reached!
% 1.30/1.72 % (28572)------------------------------
% 1.30/1.72 % (28572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.73 % (28572)Termination reason: Unknown
% 1.30/1.73 % (28572)Termination phase: Saturation
% 1.30/1.73
% 1.30/1.73 % (28572)Memory used [KB]: 5500
% 1.30/1.73 % (28572)Time elapsed: 0.007 s
% 1.30/1.73 % (28572)Instructions burned: 12 (million)
% 1.30/1.73 % (28572)------------------------------
% 1.30/1.73 % (28572)------------------------------
% 1.30/1.73 % (28571)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_28414 for (2993ds/83Mi)
% 1.30/1.73 % (28573)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_28414 for (2993ds/41Mi)
% 1.30/1.74 % (28574)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_28414 for (2993ds/6Mi)
% 1.30/1.74 % (28574)Instruction limit reached!
% 1.30/1.74 % (28574)------------------------------
% 1.30/1.74 % (28574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.74 % (28574)Termination reason: Unknown
% 1.30/1.74 % (28574)Termination phase: Saturation
% 1.30/1.74
% 1.30/1.74 % (28574)Memory used [KB]: 5500
% 1.30/1.74 % (28574)Time elapsed: 0.004 s
% 1.30/1.74 % (28574)Instructions burned: 6 (million)
% 1.30/1.74 % (28574)------------------------------
% 1.30/1.74 % (28574)------------------------------
% 1.30/1.75 % (28573)Instruction limit reached!
% 1.30/1.75 % (28573)------------------------------
% 1.30/1.75 % (28573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.75 % (28573)Termination reason: Unknown
% 1.30/1.75 % (28573)Termination phase: Saturation
% 1.30/1.75
% 1.30/1.75 % (28573)Memory used [KB]: 5756
% 1.30/1.75 % (28573)Time elapsed: 0.022 s
% 1.30/1.75 % (28573)Instructions burned: 43 (million)
% 1.30/1.75 % (28573)------------------------------
% 1.30/1.75 % (28573)------------------------------
% 1.30/1.76 % (28575)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_28414 for (2993ds/150Mi)
% 1.30/1.76 % (28576)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_28414 for (2993ds/343Mi)
% 1.30/1.77 % (28571)Instruction limit reached!
% 1.30/1.77 % (28571)------------------------------
% 1.30/1.77 % (28571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.77 % (28571)Termination reason: Unknown
% 1.30/1.77 % (28571)Termination phase: Saturation
% 1.30/1.77
% 1.30/1.77 % (28571)Memory used [KB]: 5756
% 1.30/1.77 % (28571)Time elapsed: 0.051 s
% 1.30/1.77 % (28571)Instructions burned: 84 (million)
% 1.30/1.77 % (28571)------------------------------
% 1.30/1.77 % (28571)------------------------------
% 1.30/1.78 % (28558)Instruction limit reached!
% 1.30/1.78 % (28558)------------------------------
% 1.30/1.78 % (28558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.78 % (28558)Termination reason: Unknown
% 1.30/1.78 % (28558)Termination phase: Saturation
% 1.30/1.78
% 1.30/1.78 % (28558)Memory used [KB]: 6268
% 1.30/1.78 % (28558)Time elapsed: 0.235 s
% 1.30/1.78 % (28558)Instructions burned: 508 (million)
% 1.30/1.78 % (28558)------------------------------
% 1.30/1.78 % (28558)------------------------------
% 1.30/1.78 % (28577)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_28414 for (2992ds/109Mi)
% 1.30/1.79 % (28578)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_28414 for (2992ds/253Mi)
% 1.30/1.81 % (28565)Instruction limit reached!
% 1.30/1.81 % (28565)------------------------------
% 1.30/1.81 % (28565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.81 % (28565)Termination reason: Unknown
% 1.30/1.81 % (28565)Termination phase: Saturation
% 1.30/1.81
% 1.30/1.81 % (28565)Memory used [KB]: 1791
% 1.30/1.81 % (28565)Time elapsed: 0.198 s
% 1.30/1.81 % (28565)Instructions burned: 434 (million)
% 1.30/1.81 % (28565)------------------------------
% 1.30/1.81 % (28565)------------------------------
% 1.30/1.81 % (28577)Instruction limit reached!
% 1.30/1.81 % (28577)------------------------------
% 1.30/1.81 % (28577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.81 % (28577)Termination reason: Unknown
% 1.30/1.81 % (28577)Termination phase: Saturation
% 1.30/1.81
% 1.30/1.81 % (28577)Memory used [KB]: 5756
% 1.30/1.81 % (28577)Time elapsed: 0.038 s
% 1.30/1.81 % (28577)Instructions burned: 109 (million)
% 1.30/1.81 % (28577)------------------------------
% 1.30/1.81 % (28577)------------------------------
% 1.30/1.82 % (28579)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_28414 for (2992ds/140Mi)
% 1.30/1.83 % (28580)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_28414 for (2992ds/614Mi)
% 1.30/1.83 % (28575)Instruction limit reached!
% 1.30/1.83 % (28575)------------------------------
% 1.30/1.83 % (28575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.83 % (28575)Termination reason: Unknown
% 1.30/1.83 % (28575)Termination phase: Saturation
% 1.30/1.83
% 1.30/1.83 % (28575)Memory used [KB]: 5756
% 1.30/1.83 % (28575)Time elapsed: 0.074 s
% 1.30/1.83 % (28575)Instructions burned: 150 (million)
% 1.30/1.83 % (28575)------------------------------
% 1.30/1.83 % (28575)------------------------------
% 1.30/1.85 % (28581)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_28414 for (2992ds/202Mi)
% 1.30/1.86 % (28569)Instruction limit reached!
% 1.30/1.86 % (28569)------------------------------
% 1.30/1.86 % (28569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.86 % (28569)Termination reason: Unknown
% 1.30/1.86 % (28569)Termination phase: Saturation
% 1.30/1.86
% 1.30/1.86 % (28569)Memory used [KB]: 6268
% 1.30/1.86 % (28569)Time elapsed: 0.209 s
% 1.30/1.86 % (28569)Instructions burned: 454 (million)
% 1.30/1.86 % (28569)------------------------------
% 1.30/1.86 % (28569)------------------------------
% 1.30/1.86 % (28579)Instruction limit reached!
% 1.30/1.86 % (28579)------------------------------
% 1.30/1.86 % (28579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.86 % (28579)Termination reason: Unknown
% 1.30/1.86 % (28579)Termination phase: Saturation
% 1.30/1.86
% 1.30/1.86 % (28579)Memory used [KB]: 5756
% 1.30/1.86 % (28579)Time elapsed: 0.068 s
% 1.30/1.86 % (28579)Instructions burned: 140 (million)
% 1.30/1.86 % (28579)------------------------------
% 1.30/1.86 % (28579)------------------------------
% 1.30/1.88 % (28582)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_28414 for (2992ds/339Mi)
% 1.30/1.88 % (28583)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_28414 for (2992ds/283Mi)
% 1.30/1.91 % (28581)Refutation not found, non-redundant clauses discarded% (28581)------------------------------
% 1.30/1.91 % (28581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.91 % (28581)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.30/1.91
% 1.30/1.91 % (28581)Memory used [KB]: 6268
% 1.30/1.91 % (28581)Time elapsed: 0.086 s
% 1.30/1.91 % (28581)Instructions burned: 193 (million)
% 1.30/1.91 % (28581)------------------------------
% 1.30/1.91 % (28581)------------------------------
% 1.30/1.91 % (28578)Instruction limit reached!
% 1.30/1.91 % (28578)------------------------------
% 1.30/1.91 % (28578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.91 % (28578)Termination reason: Unknown
% 1.30/1.91 % (28578)Termination phase: Saturation
% 1.30/1.91
% 1.30/1.91 % (28578)Memory used [KB]: 6012
% 1.30/1.91 % (28578)Time elapsed: 0.125 s
% 1.30/1.91 % (28578)Instructions burned: 254 (million)
% 1.30/1.91 % (28578)------------------------------
% 1.30/1.91 % (28578)------------------------------
% 1.30/1.92 % (28584)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_28414 for (2991ds/134Mi)
% 1.30/1.92 % (28576)Instruction limit reached!
% 1.30/1.92 % (28576)------------------------------
% 1.30/1.92 % (28576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.92 % (28576)Termination reason: Unknown
% 1.30/1.92 % (28576)Termination phase: Saturation
% 1.30/1.92
% 1.30/1.93 % (28576)Memory used [KB]: 6012
% 1.30/1.93 % (28576)Time elapsed: 0.162 s
% 1.30/1.93 % (28576)Instructions burned: 344 (million)
% 1.30/1.93 % (28576)------------------------------
% 1.30/1.93 % (28576)------------------------------
% 1.30/1.93 % (28585)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_28414 for (2991ds/298Mi)
% 1.30/1.94 % (28586)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_28414 for (2991ds/192Mi)
% 1.30/1.96 % (28584)Instruction limit reached!
% 1.30/1.96 % (28584)------------------------------
% 1.30/1.96 % (28584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.96 % (28584)Termination reason: Unknown
% 1.30/1.96 % (28584)Termination phase: Saturation
% 1.30/1.96
% 1.30/1.96 % (28584)Memory used [KB]: 5756
% 1.30/1.96 % (28584)Time elapsed: 0.043 s
% 1.30/1.96 % (28584)Instructions burned: 134 (million)
% 1.30/1.96 % (28584)------------------------------
% 1.30/1.96 % (28584)------------------------------
% 1.30/1.97 % (28587)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_28414 for (2990ds/258Mi)
% 7.76/2.02 % (28583)Instruction limit reached!
% 7.76/2.02 % (28583)------------------------------
% 7.76/2.02 % (28583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.02 % (28583)Termination reason: Unknown
% 7.76/2.02 % (28583)Termination phase: Saturation
% 7.76/2.02
% 7.76/2.02 % (28583)Memory used [KB]: 6268
% 7.76/2.02 % (28583)Time elapsed: 0.163 s
% 7.76/2.02 % (28583)Instructions burned: 283 (million)
% 7.76/2.02 % (28583)------------------------------
% 7.76/2.02 % (28583)------------------------------
% 7.76/2.03 % (28588)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_28414 for (2990ds/90Mi)
% 7.76/2.04 % (28586)Instruction limit reached!
% 7.76/2.04 % (28586)------------------------------
% 7.76/2.04 % (28586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.04 % (28586)Termination reason: Unknown
% 7.76/2.04 % (28586)Termination phase: Saturation
% 7.76/2.04
% 7.76/2.04 % (28586)Memory used [KB]: 5884
% 7.76/2.04 % (28586)Time elapsed: 0.095 s
% 7.76/2.04 % (28586)Instructions burned: 192 (million)
% 7.76/2.04 % (28586)------------------------------
% 7.76/2.04 % (28586)------------------------------
% 7.76/2.04 % (28582)Instruction limit reached!
% 7.76/2.04 % (28582)------------------------------
% 7.76/2.04 % (28582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.04 % (28582)Termination reason: Unknown
% 7.76/2.04 % (28582)Termination phase: Saturation
% 7.76/2.04
% 7.76/2.04 % (28582)Memory used [KB]: 6268
% 7.76/2.04 % (28582)Time elapsed: 0.194 s
% 7.76/2.04 % (28582)Instructions burned: 340 (million)
% 7.76/2.04 % (28582)------------------------------
% 7.76/2.04 % (28582)------------------------------
% 7.76/2.05 % (28589)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_28414 for (2990ds/231Mi)
% 7.76/2.06 % (28590)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_28414 for (2990ds/458Mi)
% 7.76/2.08 % (28585)Instruction limit reached!
% 7.76/2.08 % (28585)------------------------------
% 7.76/2.08 % (28585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.08 % (28587)Instruction limit reached!
% 7.76/2.08 % (28587)------------------------------
% 7.76/2.08 % (28587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.08 % (28587)Termination reason: Unknown
% 7.76/2.08 % (28587)Termination phase: Saturation
% 7.76/2.08
% 7.76/2.08 % (28587)Memory used [KB]: 5756
% 7.76/2.08 % (28587)Time elapsed: 0.094 s
% 7.76/2.08 % (28587)Instructions burned: 259 (million)
% 7.76/2.08 % (28587)------------------------------
% 7.76/2.08 % (28587)------------------------------
% 7.76/2.08 % (28585)Termination reason: Unknown
% 7.76/2.08 % (28585)Termination phase: Saturation
% 7.76/2.08
% 7.76/2.08 % (28585)Memory used [KB]: 6396
% 7.76/2.08 % (28585)Time elapsed: 0.147 s
% 7.76/2.08 % (28585)Instructions burned: 298 (million)
% 7.76/2.08 % (28585)------------------------------
% 7.76/2.08 % (28585)------------------------------
% 7.76/2.08 % (28588)Instruction limit reached!
% 7.76/2.08 % (28588)------------------------------
% 7.76/2.08 % (28588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.08 % (28588)Termination reason: Unknown
% 7.76/2.08 % (28588)Termination phase: Saturation
% 7.76/2.08
% 7.76/2.08 % (28588)Memory used [KB]: 5756
% 7.76/2.08 % (28588)Time elapsed: 0.048 s
% 7.76/2.08 % (28588)Instructions burned: 91 (million)
% 7.76/2.08 % (28588)------------------------------
% 7.76/2.08 % (28588)------------------------------
% 7.76/2.09 % (28591)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_28414 for (2989ds/31Mi)
% 7.76/2.09 % (28592)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_28414 for (2989ds/297Mi)
% 7.76/2.10 % (28591)Instruction limit reached!
% 7.76/2.10 % (28591)------------------------------
% 7.76/2.10 % (28591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.10 % (28591)Termination reason: Unknown
% 7.76/2.10 % (28591)Termination phase: Saturation
% 7.76/2.10
% 7.76/2.10 % (28591)Memory used [KB]: 5756
% 7.76/2.10 % (28591)Time elapsed: 0.011 s
% 7.76/2.10 % (28591)Instructions burned: 31 (million)
% 7.76/2.10 % (28591)------------------------------
% 7.76/2.10 % (28591)------------------------------
% 7.76/2.10 % (28593)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_28414 for (2989ds/987Mi)
% 7.76/2.11 % (28562)Instruction limit reached!
% 7.76/2.11 % (28562)------------------------------
% 7.76/2.11 % (28562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.11 % (28562)Termination reason: Unknown
% 7.76/2.11 % (28562)Termination phase: Saturation
% 7.76/2.11
% 7.76/2.11 % (28562)Memory used [KB]: 7036
% 7.76/2.11 % (28562)Time elapsed: 0.534 s
% 7.76/2.11 % (28562)Instructions burned: 1088 (million)
% 7.76/2.11 % (28562)------------------------------
% 7.76/2.11 % (28562)------------------------------
% 7.76/2.11 % (28594)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_28414 for (2989ds/182Mi)
% 7.76/2.12 % (28580)Instruction limit reached!
% 7.76/2.12 % (28580)------------------------------
% 7.76/2.12 % (28580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.12 % (28580)Termination reason: Unknown
% 7.76/2.12 % (28580)Termination phase: Saturation
% 7.76/2.12
% 7.76/2.12 % (28580)Memory used [KB]: 6268
% 7.76/2.12 % (28580)Time elapsed: 0.309 s
% 7.76/2.12 % (28580)Instructions burned: 614 (million)
% 7.76/2.12 % (28580)------------------------------
% 7.76/2.12 % (28580)------------------------------
% 8.25/2.12 % (28595)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_28414 for (2989ds/182Mi)
% 8.25/2.13 % (28597)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_28414 for (2989ds/154Mi)
% 8.25/2.18 % (28589)Instruction limit reached!
% 8.25/2.18 % (28589)------------------------------
% 8.25/2.18 % (28589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.25/2.18 % (28589)Termination reason: Unknown
% 8.25/2.18 % (28589)Termination phase: Saturation
% 8.25/2.18
% 8.25/2.18 % (28589)Memory used [KB]: 6908
% 8.25/2.18 % (28589)Time elapsed: 0.126 s
% 8.25/2.18 % (28589)Instructions burned: 233 (million)
% 8.25/2.18 % (28589)------------------------------
% 8.25/2.18 % (28589)------------------------------
% 8.25/2.19 % (28598)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_28414 for (2988ds/79Mi)
% 8.25/2.19 % (28594)Instruction limit reached!
% 8.25/2.19 % (28594)------------------------------
% 8.25/2.19 % (28594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.25/2.19 % (28594)Termination reason: Unknown
% 8.25/2.19 % (28594)Termination phase: Saturation
% 8.25/2.19
% 8.25/2.19 % (28594)Memory used [KB]: 5756
% 8.25/2.19 % (28594)Time elapsed: 0.086 s
% 8.25/2.19 % (28594)Instructions burned: 183 (million)
% 8.25/2.19 % (28594)------------------------------
% 8.25/2.19 % (28594)------------------------------
% 8.49/2.21 % (28599)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_28414 for (2988ds/216Mi)
% 8.49/2.21 % (28597)Instruction limit reached!
% 8.49/2.21 % (28597)------------------------------
% 8.49/2.21 % (28597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.49/2.21 % (28597)Termination reason: Unknown
% 8.49/2.21 % (28597)Termination phase: Saturation
% 8.49/2.21
% 8.49/2.21 % (28597)Memory used [KB]: 6012
% 8.49/2.21 % (28597)Time elapsed: 0.079 s
% 8.49/2.21 % (28597)Instructions burned: 155 (million)
% 8.49/2.21 % (28597)------------------------------
% 8.49/2.21 % (28597)------------------------------
% 8.49/2.21 % (28598)Instruction limit reached!
% 8.49/2.21 % (28598)------------------------------
% 8.49/2.21 % (28598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.49/2.21 % (28598)Termination reason: Unknown
% 8.49/2.21 % (28598)Termination phase: Saturation
% 8.49/2.21
% 8.49/2.21 % (28598)Memory used [KB]: 5756
% 8.49/2.21 % (28598)Time elapsed: 0.026 s
% 8.49/2.21 % (28598)Instructions burned: 82 (million)
% 8.49/2.21 % (28598)------------------------------
% 8.49/2.21 % (28598)------------------------------
% 8.49/2.21 % (28595)Instruction limit reached!
% 8.49/2.21 % (28595)------------------------------
% 8.49/2.21 % (28595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.49/2.21 % (28595)Termination reason: Unknown
% 8.49/2.21 % (28595)Termination phase: Saturation
% 8.49/2.21
% 8.49/2.21 % (28595)Memory used [KB]: 6012
% 8.49/2.21 % (28595)Time elapsed: 0.092 s
% 8.49/2.21 % (28595)Instructions burned: 182 (million)
% 8.49/2.21 % (28595)------------------------------
% 8.49/2.21 % (28595)------------------------------
% 8.49/2.22 % (28601)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_28414 for (2988ds/922Mi)
% 8.49/2.22 % (28600)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_28414 for (2988ds/114Mi)
% 8.49/2.23 % (28602)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_28414 for (2988ds/182Mi)
% 8.49/2.23 % (28592)Instruction limit reached!
% 8.49/2.23 % (28592)------------------------------
% 8.49/2.23 % (28592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.49/2.23 % (28592)Termination reason: Unknown
% 8.49/2.23 % (28592)Termination phase: Saturation
% 8.49/2.23
% 8.49/2.23 % (28592)Memory used [KB]: 6268
% 8.49/2.23 % (28592)Time elapsed: 0.139 s
% 8.49/2.23 % (28592)Instructions burned: 298 (million)
% 8.49/2.23 % (28592)------------------------------
% 8.49/2.23 % (28592)------------------------------
% 8.49/2.25 % (28603)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_28414 for (2988ds/164Mi)
% 8.49/2.26 % (28590)Instruction limit reached!
% 8.49/2.26 % (28590)------------------------------
% 8.49/2.26 % (28590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.49/2.26 % (28590)Termination reason: Unknown
% 8.49/2.26 % (28590)Termination phase: Saturation
% 8.49/2.26
% 8.49/2.26 % (28590)Memory used [KB]: 6140
% 8.49/2.26 % (28590)Time elapsed: 0.198 s
% 8.49/2.26 % (28590)Instructions burned: 458 (million)
% 8.49/2.26 % (28590)------------------------------
% 8.49/2.26 % (28590)------------------------------
% 8.49/2.27 % (28604)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_28414 for (2988ds/50Mi)
% 8.49/2.28 % (28600)Instruction limit reached!
% 8.49/2.28 % (28600)------------------------------
% 8.49/2.28 % (28600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.49/2.28 % (28600)Termination reason: Unknown
% 8.49/2.28 % (28600)Termination phase: Saturation
% 8.49/2.28
% 8.49/2.28 % (28600)Memory used [KB]: 5884
% 8.49/2.28 % (28600)Time elapsed: 0.058 s
% 8.49/2.28 % (28600)Instructions burned: 115 (million)
% 8.49/2.28 % (28600)------------------------------
% 8.49/2.28 % (28600)------------------------------
% 8.49/2.29 % (28604)Instruction limit reached!
% 8.49/2.29 % (28604)------------------------------
% 8.49/2.29 % (28604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.49/2.29 % (28604)Termination reason: Unknown
% 8.49/2.29 % (28604)Termination phase: Saturation
% 8.49/2.29
% 8.49/2.29 % (28604)Memory used [KB]: 10234
% 8.49/2.29 % (28604)Time elapsed: 0.024 s
% 8.49/2.29 % (28604)Instructions burned: 50 (million)
% 8.49/2.29 % (28604)------------------------------
% 8.49/2.29 % (28604)------------------------------
% 9.18/2.30 % (28605)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_28414 for (2987ds/368Mi)
% 9.18/2.30 % (28606)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_28414 for (2987ds/1021Mi)
% 9.18/2.32 % (28599)Instruction limit reached!
% 9.18/2.32 % (28599)------------------------------
% 9.18/2.32 % (28599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.18/2.32 % (28599)Termination reason: Unknown
% 9.18/2.32 % (28599)Termination phase: Saturation
% 9.18/2.32
% 9.18/2.32 % (28599)Memory used [KB]: 6012
% 9.18/2.32 % (28599)Time elapsed: 0.111 s
% 9.18/2.32 % (28599)Instructions burned: 217 (million)
% 9.18/2.32 % (28599)------------------------------
% 9.18/2.32 % (28599)------------------------------
% 9.18/2.32 % (28602)Instruction limit reached!
% 9.18/2.32 % (28602)------------------------------
% 9.18/2.32 % (28602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.18/2.32 % (28602)Termination reason: Unknown
% 9.18/2.32 % (28602)Termination phase: Saturation
% 9.18/2.32
% 9.18/2.32 % (28602)Memory used [KB]: 6140
% 9.18/2.32 % (28602)Time elapsed: 0.095 s
% 9.18/2.32 % (28602)Instructions burned: 182 (million)
% 9.18/2.32 % (28602)------------------------------
% 9.18/2.32 % (28602)------------------------------
% 9.18/2.33 % (28603)Instruction limit reached!
% 9.18/2.33 % (28603)------------------------------
% 9.18/2.33 % (28603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.18/2.33 % (28603)Termination reason: Unknown
% 9.18/2.33 % (28603)Termination phase: Saturation
% 9.18/2.33
% 9.18/2.33 % (28603)Memory used [KB]: 1279
% 9.18/2.33 % (28603)Time elapsed: 0.080 s
% 9.18/2.33 % (28603)Instructions burned: 165 (million)
% 9.18/2.33 % (28603)------------------------------
% 9.18/2.33 % (28603)------------------------------
% 9.18/2.33 % (28607)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_28414 for (2987ds/267Mi)
% 9.18/2.34 % (28608)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_28414 for (2987ds/204Mi)
% 9.18/2.34 % (28609)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_28414 for (2987ds/26Mi)
% 9.18/2.36 % (28609)Instruction limit reached!
% 9.18/2.36 % (28609)------------------------------
% 9.18/2.36 % (28609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.18/2.36 % (28609)Termination reason: Unknown
% 9.18/2.36 % (28609)Termination phase: Saturation
% 9.18/2.36
% 9.18/2.36 % (28609)Memory used [KB]: 5628
% 9.18/2.36 % (28609)Time elapsed: 0.015 s
% 9.18/2.36 % (28609)Instructions burned: 27 (million)
% 9.18/2.36 % (28609)------------------------------
% 9.18/2.36 % (28609)------------------------------
% 9.18/2.37 % (28610)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_28414 for (2987ds/53Mi)
% 9.55/2.40 % (28610)Instruction limit reached!
% 9.55/2.40 % (28610)------------------------------
% 9.55/2.40 % (28610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.55/2.40 % (28610)Termination reason: Unknown
% 9.55/2.40 % (28610)Termination phase: Saturation
% 9.55/2.40
% 9.55/2.40 % (28610)Memory used [KB]: 5756
% 9.55/2.40 % (28610)Time elapsed: 0.029 s
% 9.55/2.40 % (28610)Instructions burned: 54 (million)
% 9.55/2.40 % (28610)------------------------------
% 9.55/2.40 % (28610)------------------------------
% 9.55/2.41 % (28611)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_28414 for (2986ds/4436Mi)
% 9.55/2.44 % (28608)Instruction limit reached!
% 9.55/2.44 % (28608)------------------------------
% 9.55/2.44 % (28608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.55/2.44 % (28608)Termination reason: Unknown
% 9.55/2.44 % (28608)Termination phase: Saturation
% 9.55/2.44
% 9.55/2.44 % (28608)Memory used [KB]: 5884
% 9.55/2.44 % (28608)Time elapsed: 0.104 s
% 9.55/2.44 % (28608)Instructions burned: 204 (million)
% 9.55/2.44 % (28608)------------------------------
% 9.55/2.44 % (28608)------------------------------
% 9.55/2.47 % (28607)Instruction limit reached!
% 9.55/2.47 % (28607)------------------------------
% 9.55/2.47 % (28607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.55/2.47 % (28607)Termination reason: Unknown
% 9.55/2.47 % (28607)Termination phase: Saturation
% 9.55/2.47
% 9.55/2.47 % (28607)Memory used [KB]: 6140
% 9.55/2.47 % (28607)Time elapsed: 0.153 s
% 9.55/2.47 % (28607)Instructions burned: 268 (million)
% 9.55/2.47 % (28607)------------------------------
% 9.55/2.47 % (28607)------------------------------
% 9.55/2.47 % (28612)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_28414 for (2986ds/1539Mi)
% 9.55/2.47 % (28605)Instruction limit reached!
% 9.55/2.47 % (28605)------------------------------
% 9.55/2.47 % (28605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.55/2.47 % (28605)Termination reason: Unknown
% 9.55/2.47 % (28605)Termination phase: Saturation
% 9.55/2.47
% 9.55/2.47 % (28605)Memory used [KB]: 6012
% 9.55/2.47 % (28605)Time elapsed: 0.175 s
% 9.55/2.47 % (28605)Instructions burned: 370 (million)
% 9.55/2.47 % (28605)------------------------------
% 9.55/2.47 % (28605)------------------------------
% 9.55/2.48 % (28613)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_28414 for (2985ds/408Mi)
% 9.55/2.49 % (28614)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_28414 for (2985ds/5205Mi)
% 10.05/2.54 % (28593)Instruction limit reached!
% 10.05/2.54 % (28593)------------------------------
% 10.05/2.54 % (28593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.05/2.54 % (28593)Termination reason: Unknown
% 10.05/2.54 % (28593)Termination phase: Saturation
% 10.05/2.54
% 10.05/2.54 % (28593)Memory used [KB]: 7164
% 10.05/2.54 % (28593)Time elapsed: 0.440 s
% 10.05/2.54 % (28593)Instructions burned: 988 (million)
% 10.05/2.54 % (28593)------------------------------
% 10.05/2.54 % (28593)------------------------------
% 10.05/2.55 % (28615)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_28414 for (2985ds/1913Mi)
% 10.51/2.66 % (28601)Instruction limit reached!
% 10.51/2.66 % (28601)------------------------------
% 10.51/2.66 % (28601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.51/2.66 % (28601)Termination reason: Unknown
% 10.51/2.66 % (28601)Termination phase: Saturation
% 10.51/2.66
% 10.51/2.66 % (28601)Memory used [KB]: 6908
% 10.51/2.66 % (28601)Time elapsed: 0.444 s
% 10.51/2.66 % (28601)Instructions burned: 922 (million)
% 10.51/2.66 % (28601)------------------------------
% 10.51/2.66 % (28601)------------------------------
% 10.51/2.68 % (28616)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_28414 for (2983ds/4350Mi)
% 10.51/2.69 % (28613)Instruction limit reached!
% 10.51/2.69 % (28613)------------------------------
% 10.51/2.69 % (28613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.51/2.69 % (28613)Termination reason: Unknown
% 10.51/2.69 % (28613)Termination phase: Saturation
% 10.51/2.69
% 10.51/2.69 % (28613)Memory used [KB]: 6524
% 10.51/2.69 % (28613)Time elapsed: 0.232 s
% 10.51/2.69 % (28613)Instructions burned: 408 (million)
% 10.51/2.69 % (28613)------------------------------
% 10.51/2.69 % (28613)------------------------------
% 11.19/2.70 % (28617)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_28414 for (2983ds/68Mi)
% 11.19/2.72 % (28617)Instruction limit reached!
% 11.19/2.72 % (28617)------------------------------
% 11.19/2.72 % (28617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.19/2.72 % (28617)Termination reason: Unknown
% 11.19/2.72 % (28617)Termination phase: Saturation
% 11.19/2.72
% 11.19/2.72 % (28617)Memory used [KB]: 5628
% 11.19/2.72 % (28617)Time elapsed: 0.022 s
% 11.19/2.72 % (28617)Instructions burned: 69 (million)
% 11.19/2.72 % (28617)------------------------------
% 11.19/2.72 % (28617)------------------------------
% 11.19/2.73 % (28606)Instruction limit reached!
% 11.19/2.73 % (28606)------------------------------
% 11.19/2.73 % (28606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.19/2.73 % (28606)Termination reason: Unknown
% 11.19/2.73 % (28606)Termination phase: Saturation
% 11.19/2.73
% 11.19/2.73 % (28606)Memory used [KB]: 6652
% 11.19/2.73 % (28606)Time elapsed: 0.447 s
% 11.19/2.73 % (28606)Instructions burned: 1022 (million)
% 11.19/2.73 % (28606)------------------------------
% 11.19/2.73 % (28606)------------------------------
% 11.19/2.73 % (28618)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_28414 for (2983ds/358Mi)
% 11.19/2.75 % (28619)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_28414 for (2983ds/31Mi)
% 11.19/2.76 % (28619)Instruction limit reached!
% 11.19/2.76 % (28619)------------------------------
% 11.19/2.76 % (28619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.19/2.76 % (28619)Termination reason: Unknown
% 11.19/2.76 % (28619)Termination phase: Saturation
% 11.19/2.76
% 11.19/2.76 % (28619)Memory used [KB]: 5756
% 11.19/2.76 % (28619)Time elapsed: 0.019 s
% 11.19/2.76 % (28619)Instructions burned: 32 (million)
% 11.19/2.76 % (28619)------------------------------
% 11.19/2.76 % (28619)------------------------------
% 11.19/2.79 % (28620)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_28414 for (2982ds/279Mi)
% 11.65/2.89 % (28618)Instruction limit reached!
% 11.65/2.89 % (28618)------------------------------
% 11.65/2.89 % (28618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.65/2.89 % (28618)Termination reason: Unknown
% 11.65/2.89 % (28618)Termination phase: Saturation
% 11.65/2.89
% 11.65/2.89 % (28618)Memory used [KB]: 5756
% 11.65/2.89 % (28618)Time elapsed: 0.152 s
% 11.65/2.89 % (28618)Instructions burned: 358 (million)
% 11.65/2.89 % (28618)------------------------------
% 11.65/2.89 % (28618)------------------------------
% 11.79/2.90 % (28621)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_28414 for (2981ds/258Mi)
% 11.79/2.91 % (28620)Refutation not found, non-redundant clauses discarded% (28620)------------------------------
% 11.79/2.91 % (28620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.79/2.91 % (28620)Termination reason: Refutation not found, non-redundant clauses discarded
% 11.79/2.91
% 11.79/2.91 % (28620)Memory used [KB]: 6140
% 11.79/2.91 % (28620)Time elapsed: 0.123 s
% 11.79/2.91 % (28620)Instructions burned: 275 (million)
% 11.79/2.91 % (28620)------------------------------
% 11.79/2.91 % (28620)------------------------------
% 11.79/2.93 % (28622)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_28414 for (2981ds/26Mi)
% 11.79/2.94 % (28622)Instruction limit reached!
% 11.79/2.94 % (28622)------------------------------
% 11.79/2.94 % (28622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.79/2.94 % (28622)Termination reason: Unknown
% 11.79/2.94 % (28622)Termination phase: Saturation
% 11.79/2.94
% 11.79/2.94 % (28622)Memory used [KB]: 5628
% 11.79/2.94 % (28622)Time elapsed: 0.015 s
% 11.79/2.94 % (28622)Instructions burned: 27 (million)
% 11.79/2.94 % (28622)------------------------------
% 11.79/2.94 % (28622)------------------------------
% 11.79/2.96 % (28623)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_28414 for (2981ds/995Mi)
% 14.64/3.03 % (28621)Instruction limit reached!
% 14.64/3.03 % (28621)------------------------------
% 14.64/3.03 % (28621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.64/3.03 % (28621)Termination reason: Unknown
% 14.64/3.03 % (28621)Termination phase: Saturation
% 14.64/3.03
% 14.64/3.03 % (28621)Memory used [KB]: 6268
% 14.64/3.03 % (28621)Time elapsed: 0.132 s
% 14.64/3.03 % (28621)Instructions burned: 258 (million)
% 14.64/3.03 % (28621)------------------------------
% 14.64/3.03 % (28621)------------------------------
% 14.64/3.06 % (28624)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_28414 for (2980ds/373Mi)
% 14.64/3.10 % (28612)Instruction limit reached!
% 14.64/3.10 % (28612)------------------------------
% 14.64/3.10 % (28612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.64/3.10 % (28612)Termination reason: Unknown
% 14.64/3.10 % (28612)Termination phase: Saturation
% 14.64/3.10
% 14.64/3.10 % (28612)Memory used [KB]: 6524
% 14.64/3.10 % (28612)Time elapsed: 0.652 s
% 14.64/3.10 % (28612)Instructions burned: 1540 (million)
% 14.64/3.10 % (28612)------------------------------
% 14.64/3.10 % (28612)------------------------------
% 14.64/3.10 % (28625)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_28414 for (2979ds/253Mi)
% 15.61/3.22 % (28624)Instruction limit reached!
% 15.61/3.22 % (28624)------------------------------
% 15.61/3.22 % (28624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.61/3.22 % (28624)Termination reason: Unknown
% 15.61/3.22 % (28624)Termination phase: Saturation
% 15.61/3.22
% 15.61/3.22 % (28624)Memory used [KB]: 5884
% 15.61/3.22 % (28624)Time elapsed: 0.159 s
% 15.61/3.22 % (28624)Instructions burned: 375 (million)
% 15.61/3.22 % (28624)------------------------------
% 15.61/3.22 % (28624)------------------------------
% 15.61/3.22 % (28625)Instruction limit reached!
% 15.61/3.22 % (28625)------------------------------
% 15.61/3.22 % (28625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.61/3.22 % (28625)Termination reason: Unknown
% 15.61/3.22 % (28625)Termination phase: Saturation
% 15.61/3.22
% 15.61/3.22 % (28625)Memory used [KB]: 6140
% 15.61/3.22 % (28625)Time elapsed: 0.119 s
% 15.61/3.22 % (28625)Instructions burned: 253 (million)
% 15.61/3.22 % (28625)------------------------------
% 15.61/3.22 % (28625)------------------------------
% 15.61/3.23 % (28627)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_28414 for (2978ds/668Mi)
% 15.61/3.24 % (28626)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_28414 for (2978ds/832Mi)
% 16.39/3.39 % (28615)Instruction limit reached!
% 16.39/3.39 % (28615)------------------------------
% 16.39/3.39 % (28615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.39/3.39 % (28615)Termination reason: Unknown
% 16.39/3.39 % (28615)Termination phase: Saturation
% 16.39/3.39
% 16.39/3.39 % (28615)Memory used [KB]: 1791
% 16.39/3.39 % (28615)Time elapsed: 0.835 s
% 16.39/3.39 % (28615)Instructions burned: 1913 (million)
% 16.39/3.39 % (28615)------------------------------
% 16.39/3.39 % (28615)------------------------------
% 16.89/3.40 % (28629)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_28414 for (2976ds/40Mi)
% 16.89/3.41 % (28623)Instruction limit reached!
% 16.89/3.41 % (28623)------------------------------
% 16.89/3.41 % (28623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.89/3.41 % (28623)Termination reason: Unknown
% 16.89/3.41 % (28623)Termination phase: Saturation
% 16.89/3.41
% 16.89/3.41 % (28623)Memory used [KB]: 6908
% 16.89/3.41 % (28623)Time elapsed: 0.451 s
% 16.89/3.41 % (28623)Instructions burned: 995 (million)
% 16.89/3.41 % (28623)------------------------------
% 16.89/3.41 % (28623)------------------------------
% 16.89/3.42 % (28629)Instruction limit reached!
% 16.89/3.42 % (28629)------------------------------
% 16.89/3.42 % (28629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.89/3.42 % (28629)Termination reason: Unknown
% 16.89/3.42 % (28629)Termination phase: Saturation
% 16.89/3.42
% 16.89/3.42 % (28629)Memory used [KB]: 5628
% 16.89/3.42 % (28629)Time elapsed: 0.014 s
% 16.89/3.42 % (28629)Instructions burned: 42 (million)
% 16.89/3.42 % (28629)------------------------------
% 16.89/3.42 % (28629)------------------------------
% 16.89/3.42 % (28631)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_28414 for (2976ds/294Mi)
% 16.89/3.42 % (28632)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_28414 for (2976ds/187Mi)
% 17.22/3.50 % (28632)Instruction limit reached!
% 17.22/3.50 % (28632)------------------------------
% 17.22/3.50 % (28632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.22/3.50 % (28632)Termination reason: Unknown
% 17.22/3.50 % (28632)Termination phase: Saturation
% 17.22/3.50
% 17.22/3.50 % (28632)Memory used [KB]: 5884
% 17.22/3.50 % (28632)Time elapsed: 0.077 s
% 17.22/3.50 % (28632)Instructions burned: 187 (million)
% 17.22/3.50 % (28632)------------------------------
% 17.22/3.50 % (28632)------------------------------
% 17.22/3.51 % (28633)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_28414 for (2975ds/371Mi)
% 17.22/3.56 % (28627)Instruction limit reached!
% 17.22/3.56 % (28627)------------------------------
% 17.22/3.56 % (28627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.22/3.56 % (28627)Termination reason: Unknown
% 17.22/3.56 % (28627)Termination phase: Saturation
% 17.22/3.56
% 17.22/3.56 % (28627)Memory used [KB]: 11641
% 17.22/3.56 % (28627)Time elapsed: 0.325 s
% 17.22/3.56 % (28627)Instructions burned: 668 (million)
% 17.22/3.56 % (28627)------------------------------
% 17.22/3.56 % (28627)------------------------------
% 17.22/3.56 % (28631)Instruction limit reached!
% 17.22/3.56 % (28631)------------------------------
% 17.22/3.56 % (28631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.22/3.56 % (28631)Termination reason: Unknown
% 17.22/3.56 % (28631)Termination phase: Saturation
% 17.22/3.56
% 17.22/3.56 % (28631)Memory used [KB]: 6140
% 17.22/3.56 % (28631)Time elapsed: 0.144 s
% 17.22/3.56 % (28631)Instructions burned: 295 (million)
% 17.22/3.56 % (28631)------------------------------
% 17.22/3.56 % (28631)------------------------------
% 17.22/3.57 % (28634)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_28414 for (2974ds/1827Mi)
% 17.22/3.58 % (28635)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_28414 for (2974ds/70Mi)
% 18.10/3.61 % (28635)Instruction limit reached!
% 18.10/3.61 % (28635)------------------------------
% 18.10/3.61 % (28635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.10/3.61 % (28635)Termination reason: Unknown
% 18.10/3.61 % (28635)Termination phase: Saturation
% 18.10/3.61
% 18.10/3.61 % (28635)Memory used [KB]: 1279
% 18.10/3.61 % (28635)Time elapsed: 0.035 s
% 18.10/3.61 % (28635)Instructions burned: 72 (million)
% 18.10/3.61 % (28635)------------------------------
% 18.10/3.61 % (28635)------------------------------
% 18.10/3.62 % (28626)Instruction limit reached!
% 18.10/3.62 % (28626)------------------------------
% 18.10/3.62 % (28626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.10/3.62 % (28626)Termination reason: Unknown
% 18.10/3.62 % (28626)Termination phase: Saturation
% 18.10/3.62
% 18.10/3.62 % (28626)Memory used [KB]: 7675
% 18.10/3.62 % (28626)Time elapsed: 0.386 s
% 18.10/3.62 % (28626)Instructions burned: 832 (million)
% 18.10/3.62 % (28626)------------------------------
% 18.10/3.62 % (28626)------------------------------
% 18.10/3.63 % (28636)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_28414 for (2974ds/316Mi)
% 18.10/3.64 % (28637)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_28414 for (2974ds/932Mi)
% 18.10/3.66 % (28633)Instruction limit reached!
% 18.10/3.66 % (28633)------------------------------
% 18.10/3.66 % (28633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.10/3.66 % (28633)Termination reason: Unknown
% 18.10/3.66 % (28633)Termination phase: Saturation
% 18.10/3.66
% 18.10/3.66 % (28633)Memory used [KB]: 6012
% 18.10/3.66 % (28633)Time elapsed: 0.154 s
% 18.10/3.66 % (28633)Instructions burned: 371 (million)
% 18.10/3.66 % (28633)------------------------------
% 18.10/3.66 % (28633)------------------------------
% 18.10/3.68 % (28638)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_28414 for (2973ds/4714Mi)
% 19.01/3.73 % (28636)Instruction limit reached!
% 19.01/3.73 % (28636)------------------------------
% 19.01/3.73 % (28636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.01/3.73 % (28636)Termination reason: Unknown
% 19.01/3.73 % (28636)Termination phase: Saturation
% 19.01/3.73
% 19.01/3.73 % (28636)Memory used [KB]: 6524
% 19.01/3.73 % (28636)Time elapsed: 0.102 s
% 19.01/3.73 % (28636)Instructions burned: 317 (million)
% 19.01/3.73 % (28636)------------------------------
% 19.01/3.73 % (28636)------------------------------
% 19.01/3.75 % (28639)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_28414 for (2973ds/8250Mi)
% 21.53/4.04 % (28637)Instruction limit reached!
% 21.53/4.04 % (28637)------------------------------
% 21.53/4.04 % (28637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.53/4.04 % (28637)Termination reason: Unknown
% 21.53/4.04 % (28637)Termination phase: Saturation
% 21.53/4.04
% 21.53/4.04 % (28637)Memory used [KB]: 7547
% 21.53/4.04 % (28637)Time elapsed: 0.409 s
% 21.53/4.04 % (28637)Instructions burned: 933 (million)
% 21.53/4.04 % (28637)------------------------------
% 21.53/4.04 % (28637)------------------------------
% 21.53/4.05 % (28640)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_28414 for (2970ds/770Mi)
% 23.26/4.39 % (28640)Instruction limit reached!
% 23.26/4.39 % (28640)------------------------------
% 23.26/4.39 % (28640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.26/4.39 % (28640)Termination reason: Unknown
% 23.26/4.39 % (28640)Termination phase: Saturation
% 23.26/4.39
% 23.26/4.39 % (28640)Memory used [KB]: 6652
% 23.26/4.39 % (28640)Time elapsed: 0.357 s
% 23.26/4.39 % (28640)Instructions burned: 771 (million)
% 23.26/4.39 % (28640)------------------------------
% 23.26/4.39 % (28640)------------------------------
% 24.19/4.41 % (28641)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_28414 for (2966ds/794Mi)
% 24.19/4.43 % (28634)Instruction limit reached!
% 24.19/4.43 % (28634)------------------------------
% 24.19/4.43 % (28634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.19/4.43 % (28634)Termination reason: Unknown
% 24.19/4.43 % (28634)Termination phase: Saturation
% 24.19/4.43
% 24.19/4.43 % (28634)Memory used [KB]: 8827
% 24.19/4.43 % (28634)Time elapsed: 0.863 s
% 24.19/4.43 % (28634)Instructions burned: 1827 (million)
% 24.19/4.43 % (28634)------------------------------
% 24.19/4.43 % (28634)------------------------------
% 24.19/4.45 % (28642)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_28414 for (2966ds/464Mi)
% 24.74/4.53 % (28611)Instruction limit reached!
% 24.74/4.53 % (28611)------------------------------
% 24.74/4.53 % (28611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.74/4.53 % (28611)Termination reason: Unknown
% 24.74/4.53 % (28611)Termination phase: Saturation
% 24.74/4.53
% 24.74/4.53 % (28611)Memory used [KB]: 9594
% 24.74/4.53 % (28611)Time elapsed: 2.135 s
% 24.74/4.53 % (28611)Instructions burned: 4436 (million)
% 24.74/4.53 % (28611)------------------------------
% 24.74/4.53 % (28611)------------------------------
% 24.74/4.54 % (28643)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_28414 for (2965ds/1376Mi)
% 24.74/4.59 % (28616)Instruction limit reached!
% 24.74/4.59 % (28616)------------------------------
% 24.74/4.59 % (28616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.74/4.59 % (28616)Termination reason: Unknown
% 24.74/4.59 % (28616)Termination phase: Saturation
% 24.74/4.59
% 24.74/4.59 % (28616)Memory used [KB]: 7931
% 24.74/4.59 % (28616)Time elapsed: 1.908 s
% 24.74/4.59 % (28616)Instructions burned: 4351 (million)
% 24.74/4.59 % (28616)------------------------------
% 24.74/4.59 % (28616)------------------------------
% 25.19/4.60 % (28644)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_28414 for (2964ds/906Mi)
% 25.19/4.68 % (28642)Instruction limit reached!
% 25.19/4.68 % (28642)------------------------------
% 25.19/4.68 % (28642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.19/4.68 % (28642)Termination reason: Unknown
% 25.19/4.68 % (28642)Termination phase: Saturation
% 25.19/4.68
% 25.19/4.68 % (28642)Memory used [KB]: 6140
% 25.19/4.68 % (28642)Time elapsed: 0.249 s
% 25.19/4.68 % (28642)Instructions burned: 465 (million)
% 25.19/4.68 % (28642)------------------------------
% 25.19/4.68 % (28642)------------------------------
% 25.19/4.69 % (28645)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_28414 for (2963ds/434Mi)
% 25.73/4.76 % (28641)Instruction limit reached!
% 25.73/4.76 % (28641)------------------------------
% 25.73/4.76 % (28641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.73/4.77 % (28641)Termination reason: Unknown
% 25.73/4.77 % (28641)Termination phase: Saturation
% 25.73/4.77
% 25.73/4.77 % (28641)Memory used [KB]: 2302
% 25.73/4.77 % (28641)Time elapsed: 0.386 s
% 25.73/4.77 % (28641)Instructions burned: 794 (million)
% 25.73/4.77 % (28641)------------------------------
% 25.73/4.77 % (28641)------------------------------
% 25.73/4.78 % (28646)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_28414 for (2962ds/865Mi)
% 26.40/4.86 % (28614)Instruction limit reached!
% 26.40/4.86 % (28614)------------------------------
% 26.40/4.86 % (28614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.40/4.86 % (28614)Termination reason: Unknown
% 26.40/4.86 % (28614)Termination phase: Saturation
% 26.40/4.86
% 26.40/4.86 % (28614)Memory used [KB]: 11769
% 26.40/4.86 % (28614)Time elapsed: 2.371 s
% 26.40/4.86 % (28614)Instructions burned: 5206 (million)
% 26.40/4.86 % (28614)------------------------------
% 26.40/4.86 % (28614)------------------------------
% 26.40/4.87 % (28647)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_28414 for (2961ds/593Mi)
% 26.40/4.89 % (28645)Instruction limit reached!
% 26.40/4.89 % (28645)------------------------------
% 26.40/4.89 % (28645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.40/4.89 % (28645)Termination reason: Unknown
% 26.40/4.89 % (28645)Termination phase: Saturation
% 26.40/4.89
% 26.40/4.89 % (28645)Memory used [KB]: 6652
% 26.40/4.89 % (28645)Time elapsed: 0.224 s
% 26.40/4.89 % (28645)Instructions burned: 435 (million)
% 26.40/4.89 % (28645)------------------------------
% 26.40/4.89 % (28645)------------------------------
% 26.91/4.91 % (28648)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_28414 for (2961ds/443Mi)
% 26.91/4.97 % (28644)Instruction limit reached!
% 26.91/4.97 % (28644)------------------------------
% 26.91/4.97 % (28644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.91/4.97 % (28644)Termination reason: Unknown
% 26.91/4.97 % (28644)Termination phase: Saturation
% 26.91/4.97
% 26.91/4.97 % (28644)Memory used [KB]: 6396
% 26.91/4.97 % (28644)Time elapsed: 0.395 s
% 26.91/4.97 % (28644)Instructions burned: 909 (million)
% 26.91/4.97 % (28644)------------------------------
% 26.91/4.97 % (28644)------------------------------
% 26.91/4.98 % (28649)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_28414 for (2960ds/594Mi)
% 28.62/5.09 % (28648)Instruction limit reached!
% 28.62/5.09 % (28648)------------------------------
% 28.62/5.09 % (28648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.62/5.09 % (28648)Termination reason: Unknown
% 28.62/5.09 % (28648)Termination phase: Saturation
% 28.62/5.09
% 28.62/5.09 % (28648)Memory used [KB]: 6012
% 28.62/5.09 % (28648)Time elapsed: 0.185 s
% 28.62/5.09 % (28648)Instructions burned: 444 (million)
% 28.62/5.09 % (28648)------------------------------
% 28.62/5.09 % (28648)------------------------------
% 28.62/5.11 % (28650)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_28414 for (2959ds/327Mi)
% 29.30/5.15 % (28646)Instruction limit reached!
% 29.30/5.15 % (28646)------------------------------
% 29.30/5.15 % (28646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.30/5.15 % (28646)Termination reason: Unknown
% 29.30/5.15 % (28646)Termination phase: Saturation
% 29.30/5.15
% 29.30/5.15 % (28646)Memory used [KB]: 7419
% 29.30/5.15 % (28646)Time elapsed: 0.375 s
% 29.30/5.15 % (28646)Instructions burned: 866 (million)
% 29.30/5.15 % (28646)------------------------------
% 29.30/5.15 % (28646)------------------------------
% 29.30/5.16 % (28643)Instruction limit reached!
% 29.30/5.16 % (28643)------------------------------
% 29.30/5.16 % (28643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.30/5.16 % (28643)Termination reason: Unknown
% 29.30/5.16 % (28643)Termination phase: Saturation
% 29.30/5.16
% 29.30/5.16 % (28643)Memory used [KB]: 8443
% 29.30/5.16 % (28643)Time elapsed: 0.641 s
% 29.30/5.16 % (28643)Instructions burned: 1376 (million)
% 29.30/5.16 % (28643)------------------------------
% 29.30/5.16 % (28643)------------------------------
% 29.30/5.16 % (28647)Instruction limit reached!
% 29.30/5.16 % (28647)------------------------------
% 29.30/5.16 % (28647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.30/5.16 % (28647)Termination reason: Unknown
% 29.30/5.16 % (28647)Termination phase: Saturation
% 29.30/5.16
% 29.30/5.16 % (28647)Memory used [KB]: 7419
% 29.30/5.16 % (28647)Time elapsed: 0.289 s
% 29.30/5.16 % (28647)Instructions burned: 593 (million)
% 29.30/5.16 % (28647)------------------------------
% 29.30/5.16 % (28647)------------------------------
% 29.30/5.17 % (28651)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_28414 for (2958ds/5411Mi)
% 29.30/5.17 % (28652)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_28414 for (2958ds/1762Mi)
% 29.30/5.18 % (28653)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_28414 for (2958ds/96Mi)
% 29.63/5.22 % (28650)Instruction limit reached!
% 29.63/5.22 % (28650)------------------------------
% 29.63/5.22 % (28650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.63/5.22 % (28650)Termination reason: Unknown
% 29.63/5.22 % (28653)Instruction limit reached!
% 29.63/5.22 % (28653)------------------------------
% 29.63/5.22 % (28653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.63/5.22 % (28653)Termination reason: Unknown
% 29.63/5.22 % (28653)Termination phase: Saturation
% 29.63/5.22
% 29.63/5.22 % (28653)Memory used [KB]: 5884
% 29.63/5.22 % (28653)Time elapsed: 0.045 s
% 29.63/5.22 % (28653)Instructions burned: 98 (million)
% 29.63/5.22 % (28653)------------------------------
% 29.63/5.22 % (28653)------------------------------
% 29.63/5.22 % (28650)Termination phase: Saturation
% 29.63/5.22
% 29.63/5.22 % (28650)Memory used [KB]: 6524
% 29.63/5.22 % (28650)Time elapsed: 0.116 s
% 29.63/5.22 % (28650)Instructions burned: 328 (million)
% 29.63/5.22 % (28650)------------------------------
% 29.63/5.22 % (28650)------------------------------
% 29.63/5.23 % (28654)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_28414 for (2958ds/503Mi)
% 29.63/5.24 % (28655)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_28414 for (2958ds/90Mi)
% 29.63/5.26 % (28649)Instruction limit reached!
% 29.63/5.26 % (28649)------------------------------
% 29.63/5.26 % (28649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.63/5.26 % (28649)Termination reason: Unknown
% 29.63/5.26 % (28649)Termination phase: Saturation
% 29.63/5.26
% 29.63/5.26 % (28649)Memory used [KB]: 5884
% 29.63/5.26 % (28649)Time elapsed: 0.275 s
% 29.63/5.26 % (28649)Instructions burned: 594 (million)
% 29.63/5.26 % (28649)------------------------------
% 29.63/5.26 % (28649)------------------------------
% 29.63/5.27 % (28656)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_28414 for (2957ds/593Mi)
% 29.63/5.28 % (28655)Instruction limit reached!
% 29.63/5.28 % (28655)------------------------------
% 29.63/5.28 % (28655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.63/5.28 % (28655)Termination reason: Unknown
% 29.63/5.28 % (28655)Termination phase: Saturation
% 29.63/5.28
% 29.63/5.28 % (28655)Memory used [KB]: 5756
% 29.63/5.28 % (28655)Time elapsed: 0.047 s
% 29.63/5.28 % (28655)Instructions burned: 90 (million)
% 29.63/5.28 % (28655)------------------------------
% 29.63/5.28 % (28655)------------------------------
% 30.14/5.30 % (28657)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_28414 for (2957ds/1512Mi)
% 30.34/5.43 % (28654)Instruction limit reached!
% 30.34/5.43 % (28654)------------------------------
% 30.34/5.43 % (28654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.34/5.43 % (28654)Termination reason: Unknown
% 30.34/5.43 % (28654)Termination phase: Saturation
% 30.34/5.43
% 30.34/5.43 % (28654)Memory used [KB]: 6268
% 30.34/5.43 % (28654)Time elapsed: 0.200 s
% 30.34/5.43 % (28654)Instructions burned: 505 (million)
% 30.34/5.43 % (28654)------------------------------
% 30.34/5.43 % (28654)------------------------------
% 30.34/5.44 % (28662)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_28414 for (2956ds/569Mi)
% 30.76/5.54 % (28656)Instruction limit reached!
% 30.76/5.54 % (28656)------------------------------
% 30.76/5.54 % (28656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.76/5.54 % (28656)Termination reason: Unknown
% 30.76/5.54 % (28656)Termination phase: Saturation
% 30.76/5.54
% 30.76/5.54 % (28656)Memory used [KB]: 6140
% 30.76/5.54 % (28656)Time elapsed: 0.268 s
% 30.76/5.54 % (28656)Instructions burned: 593 (million)
% 30.76/5.54 % (28656)------------------------------
% 30.76/5.54 % (28656)------------------------------
% 30.76/5.56 % (28665)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_28414 for (2955ds/501Mi)
% 31.35/5.70 % (28662)Instruction limit reached!
% 31.35/5.70 % (28662)------------------------------
% 31.35/5.70 % (28662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.35/5.70 % (28662)Termination reason: Unknown
% 31.35/5.70 % (28662)Termination phase: Saturation
% 31.35/5.70
% 31.35/5.70 % (28662)Memory used [KB]: 6780
% 31.35/5.70 % (28662)Time elapsed: 0.259 s
% 31.35/5.70 % (28662)Instructions burned: 569 (million)
% 31.35/5.70 % (28662)------------------------------
% 31.35/5.70 % (28662)------------------------------
% 31.35/5.72 % (28666)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_28414 for (2953ds/562Mi)
% 31.79/5.87 % (28665)Instruction limit reached!
% 31.79/5.87 % (28665)------------------------------
% 31.79/5.87 % (28665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.79/5.87 % (28665)Termination reason: Unknown
% 31.79/5.87 % (28665)Termination phase: Saturation
% 31.79/5.87
% 31.79/5.87 % (28665)Memory used [KB]: 6268
% 31.79/5.87 % (28665)Time elapsed: 0.306 s
% 31.79/5.87 % (28665)Instructions burned: 501 (million)
% 31.79/5.87 % (28665)------------------------------
% 31.79/5.87 % (28665)------------------------------
% 31.79/5.89 % (28667)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_28414 for (2951ds/406Mi)
% 32.11/5.92 % (28639)First to succeed.
% 32.11/5.98 % (28638)Also succeeded, but the first one will report.
% 32.11/5.98 % (28666)Instruction limit reached!
% 32.11/5.98 % (28666)------------------------------
% 32.11/5.98 % (28666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.11/5.98 % (28666)Termination reason: Unknown
% 32.11/5.98 % (28666)Termination phase: Saturation
% 32.11/5.98
% 32.11/5.98 % (28666)Memory used [KB]: 6140
% 32.11/5.98 % (28666)Time elapsed: 0.264 s
% 32.11/5.98 % (28666)Instructions burned: 563 (million)
% 32.11/5.98 % (28666)------------------------------
% 32.11/5.98 % (28666)------------------------------
% 32.11/5.98 % (28639)Refutation found. Thanks to Tanya!
% 32.11/5.98 % SZS status Theorem for DTF2THF_28414
% 32.11/5.98 % SZS output start Proof for DTF2THF_28414
% 32.11/5.98 thf(func_def_1, type, g: $i > $i > $i).
% 32.11/5.98 thf(func_def_6, type, s: $i > $i).
% 32.11/5.98 thf(f29818,plain,(
% 32.11/5.98 $false),
% 32.11/5.98 inference(avatar_sat_refutation,[status(thm)],[f545,f720,f747,f881,f1008,f1095,f1187,f1268,f2328,f2889,f3077,f3111,f3164,f3294,f3526,f3589,f4141,f4278,f4487,f4628,f4801,f4821,f4847,f4866,f4978,f5079,f5113,f5149,f5295,f5366,f5370,f5410,f5415,f5459,f6128,f6208,f6248,f6372,f6389,f7006,f7026,f7055,f7270,f7315,f7531,f7592,f7623,f7716,f8289,f8312,f8374,f8677,f9018,f9332,f9399,f9424,f9515,f9634,f10197,f10302,f10361,f10383,f10447,f10664,f11476,f11478,f11629,f11678,f11685,f11738,f11790,f11791,f11858,f12025,f12056,f12074,f12129,f12147,f12200,f12208,f12247,f12393,f12563,f12684,f12716,f12759,f12793,f13021,f13033,f13170,f13196,f13235,f13238,f13239,f13295,f13320,f13438,f13448,f13487,f13601,f13675,f13702,f13730,f13764,f13782,f13970,f13990,f14019,f14050,f14167,f14487,f14534,f14605,f14643,f14808,f14868,f14915,f15016,f15471,f15480,f15605,f15867,f15921,f16149,f16183,f16188,f16303,f16321,f16402,f16433,f16532,f16552,f16652,f16700,f16702,f16732,f16739,f16757,f16953,f16959,f17104,f17125,f17292,f17331,f17360,f17541,f17573,f17611,f17680,f17690,f17768,f17784,f17886,f17933,f18049,f18085,f18098,f18160,f18166,f18191,f18219,f18301,f18400,f18434,f18708,f18711,f18738,f18781,f18799,f18833,f18850,f18915,f18919,f18975,f19040,f19051,f19139,f19146,f19147,f19225,f19475,f19610,f19727,f19799,f19837,f19998,f20017,f20105,f20322,f20363,f20367,f20397,f20427,f20480,f20485,f20752,f20761,f20982,f21001,f21019,f21113,f21379,f21481,f21720,f21768,f21843,f22009,f22029,f22053,f22059,f22126,f22134,f22139,f22142,f22145,f22528,f22688,f22774,f22838,f22843,f22921,f22925,f22933,f23250,f23253,f23361,f23553,f23642,f23692,f23709,f23798,f23814,f23830,f23947,f24001,f24026,f24055,f24058,f24081,f24227,f24588,f24842,f24866,f24904,f24965,f25105,f25190,f25399,f25404,f25464,f25468,f25526,f25562,f25577,f25625,f25669,f25784,f25871,f26423,f26459,f26461,f26528,f26645,f26780,f26795,f26928,f27011,f27134,f27151,f27243,f27350,f27377,f27394,f27426,f27493,f27608,f27627,f27756,f27768,f27781,f27880,f27929,f27945,f27994,f28070,f28299,f28307,f28327,f28338,f28342,f28344,f28347,f28350,f28353,f28366,f28506,f28635,f28832,f28913,f28990,f29028,f29072,f29082,f29101,f29257,f29292,f29466,f29521,f29528,f29553,f29583,f29601,f29611,f29655,f29693,f29706,f29764,f29773,f29774,f29817])).
% 32.11/5.98 thf(f29817,plain,(
% 32.11/5.98 ~spl0_1 | spl0_13),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f29816])).
% 32.11/5.98 thf(f29816,plain,(
% 32.11/5.98 $false | (~spl0_1 | spl0_13)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f29815,f212])).
% 32.11/5.98 thf(f212,plain,(
% 32.11/5.98 (c2 != c4) | spl0_13),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f210])).
% 32.11/5.98 thf(f210,definition,(
% 32.11/5.98 spl0_13 <=> (c2 = c4)),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])).
% 32.11/5.98 thf(f29815,plain,(
% 32.11/5.98 (c2 = c4) | ~spl0_1),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f29814,f30])).
% 32.11/5.98 thf(f30,plain,(
% 32.11/5.98 (c4 = (s @ c3))),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f8,plain,(
% 32.11/5.98 (c4 = (s @ c3)) & ! [X0 : $i,X1 : $i] : (((c1 = (g @ X1 @ X0)) | (c3 != (g @ (s @ X1) @ X0))) & ((c3 = (g @ (s @ X1) @ X0)) | (c1 != (g @ X1 @ X0)))) & ((s @ c8) = c1) & (c8 = (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ c8))))))))) & (c2 = (s @ c1)) & ! [X2 : $i] : ((s @ (s @ (s @ (s @ X2)))) != X2) & ! [X3 : $i,X4 : $i] : ((((c8 = X4) & (c8 = X3)) | ((c1 = X4) & (c1 = X3)) | (c5 != (g @ X4 @ X3))) & ((c5 = (g @ X4 @ X3)) | (((c8 != X4) | (c8 != X3)) & ((c1 != X4) | (c1 != X3))))) & ! [X5 : $i,X6 : $i] : ((c3 != (g @ c1 @ X6)) & (c4 != (g @ X5 @ c1)) & (c2 != (g @ X5 @ c8)) & (c1 != (g @ c8 @ X6))) & (c3 = (s @ c2)) & ! [X7 : $i,X8 : $i] : ((c1 = (g @ X8 @ X7)) | (c4 = (g @ X8 @ X7)) | (c3 = (g @ X8 @ X7)) | (c5 = (g @ X8 @ X7)) | (c2 = (g @ X8 @ X7))) & (c5 = (s @ c4)) & ! [X9 : $i,X10 : $i] : (((c2 = (g @ X9 @ X10)) | (c4 != (g @ X9 @ (s @ X10)))) & ((c4 = (g @ X9 @ (s @ X10))) | (c2 != (g @ X9 @ X10))))),
% 32.11/5.98 inference(rectify,[status(thm)],[f7])).
% 32.11/5.98 thf(f7,plain,(
% 32.11/5.98 (c4 = (s @ c3)) & ! [X6 : $i,X7 : $i] : (((c1 = (g @ X7 @ X6)) | (c3 != (g @ (s @ X7) @ X6))) & ((c3 = (g @ (s @ X7) @ X6)) | (c1 != (g @ X7 @ X6)))) & ((s @ c8) = c1) & (c8 = (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ c8))))))))) & (c2 = (s @ c1)) & ! [X8 : $i] : ((s @ (s @ (s @ (s @ X8)))) != X8) & ! [X3 : $i,X2 : $i] : ((((c8 = X2) & (c8 = X3)) | ((c1 = X2) & (c1 = X3)) | (c5 != (g @ X2 @ X3))) & ((c5 = (g @ X2 @ X3)) | (((c8 != X2) | (c8 != X3)) & ((c1 != X2) | (c1 != X3))))) & ! [X1 : $i,X0 : $i] : ((c3 != (g @ c1 @ X0)) & (c4 != (g @ X1 @ c1)) & (c2 != (g @ X1 @ c8)) & (c1 != (g @ c8 @ X0))) & (c3 = (s @ c2)) & ! [X5 : $i,X4 : $i] : ((c1 = (g @ X4 @ X5)) | (c4 = (g @ X4 @ X5)) | (c3 = (g @ X4 @ X5)) | (c5 = (g @ X4 @ X5)) | (c2 = (g @ X4 @ X5))) & (c5 = (s @ c4)) & ! [X9 : $i,X10 : $i] : (((c2 = (g @ X9 @ X10)) | (c4 != (g @ X9 @ (s @ X10)))) & ((c4 = (g @ X9 @ (s @ X10))) | (c2 != (g @ X9 @ X10))))),
% 32.11/5.98 inference(flattening,[status(thm)],[f6])).
% 32.11/5.98 thf(f6,plain,(
% 32.11/5.98 (c4 = (s @ c3)) & ! [X6 : $i,X7 : $i] : (((c1 = (g @ X7 @ X6)) | (c3 != (g @ (s @ X7) @ X6))) & ((c3 = (g @ (s @ X7) @ X6)) | (c1 != (g @ X7 @ X6)))) & ((s @ c8) = c1) & (c8 = (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ c8))))))))) & (c2 = (s @ c1)) & ! [X8 : $i] : ((s @ (s @ (s @ (s @ X8)))) != X8) & ! [X3 : $i,X2 : $i] : (((((c8 = X2) & (c8 = X3)) | ((c1 = X2) & (c1 = X3))) | (c5 != (g @ X2 @ X3))) & ((c5 = (g @ X2 @ X3)) | (((c8 != X2) | (c8 != X3)) & ((c1 != X2) | (c1 != X3))))) & ! [X1 : $i,X0 : $i] : ((c3 != (g @ c1 @ X0)) & (c4 != (g @ X1 @ c1)) & (c2 != (g @ X1 @ c8)) & (c1 != (g @ c8 @ X0))) & (c3 = (s @ c2)) & ! [X5 : $i,X4 : $i] : ((c1 = (g @ X4 @ X5)) | (c4 = (g @ X4 @ X5)) | (c3 = (g @ X4 @ X5)) | (c5 = (g @ X4 @ X5)) | (c2 = (g @ X4 @ X5))) & (c5 = (s @ c4)) & ! [X9 : $i,X10 : $i] : (((c2 = (g @ X9 @ X10)) | (c4 != (g @ X9 @ (s @ X10)))) & ((c4 = (g @ X9 @ (s @ X10))) | (c2 != (g @ X9 @ X10))))),
% 32.11/5.98 inference(nnf_transformation,[status(thm)],[f5])).
% 32.11/5.98 thf(f5,plain,(
% 32.11/5.98 (c4 = (s @ c3)) & ! [X6 : $i,X7 : $i] : ((c1 = (g @ X7 @ X6)) <=> (c3 = (g @ (s @ X7) @ X6))) & ((s @ c8) = c1) & (c8 = (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ c8))))))))) & (c2 = (s @ c1)) & ! [X8 : $i] : ((s @ (s @ (s @ (s @ X8)))) != X8) & ! [X3 : $i,X2 : $i] : ((((c8 = X2) & (c8 = X3)) | ((c1 = X2) & (c1 = X3))) <=> (c5 = (g @ X2 @ X3))) & ! [X1 : $i,X0 : $i] : ((c3 != (g @ c1 @ X0)) & (c4 != (g @ X1 @ c1)) & (c2 != (g @ X1 @ c8)) & (c1 != (g @ c8 @ X0))) & (c3 = (s @ c2)) & ! [X5 : $i,X4 : $i] : ((c1 = (g @ X4 @ X5)) | (c4 = (g @ X4 @ X5)) | (c3 = (g @ X4 @ X5)) | (c5 = (g @ X4 @ X5)) | (c2 = (g @ X4 @ X5))) & (c5 = (s @ c4)) & ! [X9 : $i,X10 : $i] : ((c2 = (g @ X9 @ X10)) <=> (c4 = (g @ X9 @ (s @ X10))))),
% 32.11/5.98 inference(flattening,[status(thm)],[f4])).
% 32.11/5.98 thf(f4,plain,(
% 32.11/5.98 ~~((c4 = (s @ c3)) & ! [X6 : $i,X7 : $i] : ((c1 = (g @ X7 @ X6)) <=> (c3 = (g @ (s @ X7) @ X6))) & ((s @ c8) = c1) & (c8 = (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ c8))))))))) & (c2 = (s @ c1)) & ! [X8 : $i] : ((s @ (s @ (s @ (s @ X8)))) != X8) & ! [X3 : $i,X2 : $i] : ((((c8 = X2) & (c8 = X3)) | ((c1 = X2) & (c1 = X3))) <=> (c5 = (g @ X2 @ X3))) & ! [X1 : $i,X0 : $i] : ((c3 != (g @ c1 @ X0)) & (c4 != (g @ X1 @ c1)) & (c2 != (g @ X1 @ c8)) & (c1 != (g @ c8 @ X0))) & (c3 = (s @ c2)) & ! [X5 : $i,X4 : $i] : ((c1 = (g @ X4 @ X5)) | (c4 = (g @ X4 @ X5)) | (c3 = (g @ X4 @ X5)) | (c5 = (g @ X4 @ X5)) | (c2 = (g @ X4 @ X5))) & (c5 = (s @ c4)) & ! [X9 : $i,X10 : $i] : ((c2 = (g @ X9 @ X10)) <=> (c4 = (g @ X9 @ (s @ X10)))))),
% 32.11/5.98 inference(rectify,[status(thm)],[f2])).
% 32.11/5.98 thf(f2,negated_conjecture,(
% 32.11/5.98 ~~(! [X1 : $i,X0 : $i] : ((c3 != (g @ c1 @ X1)) & (c2 != (g @ X0 @ c8)) & (c1 != (g @ c8 @ X1)) & (c4 != (g @ X0 @ c1))) & (c2 = (s @ c1)) & ! [X0 : $i,X1 : $i] : (((g @ X0 @ X1) = c5) <=> (((c1 = X0) & (c1 = X1)) | ((c8 = X0) & (c8 = X1)))) & ! [X0 : $i,X1 : $i] : (((g @ X0 @ X1) = c2) | ((g @ X0 @ X1) = c5) | ((g @ X0 @ X1) = c4) | ((g @ X0 @ X1) = c3) | ((g @ X0 @ X1) = c1)) & ((s @ c8) = c1) & ! [X1 : $i,X0 : $i] : (((g @ (s @ X0) @ X1) = c3) <=> ((g @ X0 @ X1) = c1)) & (c4 = (s @ c3)) & (c8 = (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ c8))))))))) & (c3 = (s @ c2)) & (c5 = (s @ c4)) & ! [X0 : $i] : ((s @ (s @ (s @ (s @ X0)))) != X0) & ! [X0 : $i,X1 : $i] : (((g @ X0 @ X1) = c2) <=> ((g @ X0 @ (s @ X1)) = c4)))),
% 32.11/5.98 inference(negated_conjecture,[status(cth)],[f1])).
% 32.11/5.98 thf(f1,conjecture,(
% 32.11/5.98 ~(! [X1 : $i,X0 : $i] : ((c3 != (g @ c1 @ X1)) & (c2 != (g @ X0 @ c8)) & (c1 != (g @ c8 @ X1)) & (c4 != (g @ X0 @ c1))) & (c2 = (s @ c1)) & ! [X0 : $i,X1 : $i] : (((g @ X0 @ X1) = c5) <=> (((c1 = X0) & (c1 = X1)) | ((c8 = X0) & (c8 = X1)))) & ! [X0 : $i,X1 : $i] : (((g @ X0 @ X1) = c2) | ((g @ X0 @ X1) = c5) | ((g @ X0 @ X1) = c4) | ((g @ X0 @ X1) = c3) | ((g @ X0 @ X1) = c1)) & ((s @ c8) = c1) & ! [X1 : $i,X0 : $i] : (((g @ (s @ X0) @ X1) = c3) <=> ((g @ X0 @ X1) = c1)) & (c4 = (s @ c3)) & (c8 = (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ c8))))))))) & (c3 = (s @ c2)) & (c5 = (s @ c4)) & ! [X0 : $i] : ((s @ (s @ (s @ (s @ X0)))) != X0) & ! [X0 : $i,X1 : $i] : (((g @ X0 @ X1) = c2) <=> ((g @ X0 @ (s @ X1)) = c4)))),
% 32.11/5.98 file('/export/starexec/sandbox2/tmp/tmp.lJGvwCr8Rt/DTF2THF_28414.p',cTOUGHNUT2)).
% 32.11/5.98 thf(f29814,plain,(
% 32.11/5.98 (c2 = (s @ c3)) | ~spl0_1),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f25,f116])).
% 32.11/5.98 thf(f116,plain,(
% 32.11/5.98 (c1 = c3) | ~spl0_1),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f115])).
% 32.11/5.98 thf(f115,definition,(
% 32.11/5.98 spl0_1 <=> (c1 = c3)),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 32.11/5.98 thf(f25,plain,(
% 32.11/5.98 (c2 = (s @ c1))),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f29774,plain,(
% 32.11/5.98 spl0_122 | spl0_91 | spl0_119 | spl0_264 | spl0_120),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f16734,f2466,f11055,f2462,f1818,f2474])).
% 32.11/5.98 thf(f2474,definition,(
% 32.11/5.98 spl0_122 <=> (c3 = (g @ c3 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_122])],[avatar_definition])).
% 32.11/5.98 thf(f1818,definition,(
% 32.11/5.98 spl0_91 <=> (c4 = (g @ c3 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_91])],[avatar_definition])).
% 32.11/5.98 thf(f2462,definition,(
% 32.11/5.98 spl0_119 <=> (c3 = (g @ c4 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_119])],[avatar_definition])).
% 32.11/5.98 thf(f11055,definition,(
% 32.11/5.98 spl0_264 <=> (c4 = (g @ c3 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_264])],[avatar_definition])).
% 32.11/5.98 thf(f2466,definition,(
% 32.11/5.98 spl0_120 <=> (c5 = (g @ c3 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_120])],[avatar_definition])).
% 32.11/5.98 thf(f16734,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c4)) | (c4 = (g @ c3 @ c4)) | (c4 = (g @ c3 @ c5)) | (c3 = (g @ c3 @ c4)) | spl0_120),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f12927,f2467])).
% 32.11/5.98 thf(f2467,plain,(
% 32.11/5.98 (c5 != (g @ c3 @ c4)) | spl0_120),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2466])).
% 32.11/5.98 thf(f12927,plain,(
% 32.11/5.98 (c5 = (g @ c3 @ c4)) | (c3 = (g @ c4 @ c4)) | (c4 = (g @ c3 @ c4)) | (c4 = (g @ c3 @ c5)) | (c3 = (g @ c3 @ c4))),
% 32.11/5.98 inference(superposition,[status(thm)],[f650,f11])).
% 32.11/5.98 thf(f11,plain,(
% 32.11/5.98 (c5 = (s @ c4))),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f650,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 = (g @ c3 @ (s @ X0))) | (c5 = (g @ c3 @ X0)) | (c3 = (g @ c3 @ X0)) | (c3 = (g @ c4 @ X0)) | (c4 = (g @ c3 @ X0))) )),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f631])).
% 32.11/5.98 thf(f631,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 = (g @ c3 @ X0)) | (c2 != c2) | (c3 = (g @ c4 @ X0)) | (c3 = (g @ c3 @ X0)) | (c4 = (g @ c3 @ (s @ X0))) | (c5 = (g @ c3 @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f294])).
% 32.11/5.98 thf(f294,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c2 = (g @ c3 @ X0)) | (c4 = (g @ c3 @ X0)) | (c5 = (g @ c3 @ X0)) | (c3 = (g @ c4 @ X0)) | (c3 = (g @ c3 @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f112,f30])).
% 32.11/5.98 thf(f112,plain,(
% 32.11/5.98 ( ! [X0 : $i,X1 : $i] : (((g @ (s @ X0) @ X1) = c3) | ((g @ X0 @ X1) = c5) | ((g @ X0 @ X1) = c3) | ((g @ X0 @ X1) = c4) | ((g @ X0 @ X1) = c2)) )),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f100])).
% 32.11/5.98 thf(f100,plain,(
% 32.11/5.98 ( ! [X0 : $i,X1 : $i] : ((c1 != c1) | ((g @ X0 @ X1) = c5) | ((g @ X0 @ X1) = c2) | ((g @ X0 @ X1) = c3) | ((g @ (s @ X0) @ X1) = c3) | ((g @ X0 @ X1) = c4)) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f28,f12])).
% 32.11/5.98 thf(f12,plain,(
% 32.11/5.98 ( ! [X8 : $i,X7 : $i] : ((c1 = (g @ X8 @ X7)) | (c3 = (g @ X8 @ X7)) | (c5 = (g @ X8 @ X7)) | (c2 = (g @ X8 @ X7)) | (c4 = (g @ X8 @ X7))) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f28,plain,(
% 32.11/5.98 ( ! [X0 : $i,X1 : $i] : ((c1 != (g @ X1 @ X0)) | (c3 = (g @ (s @ X1) @ X0))) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f9,plain,(
% 32.11/5.98 ( ! [X10 : $i,X9 : $i] : ((c2 != (g @ X9 @ X10)) | (c4 = (g @ X9 @ (s @ X10)))) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f29773,plain,(
% 32.11/5.98 spl0_137 | spl0_211 | spl0_123 | spl0_145 | spl0_204),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f12929,f4742,f2628,f2480,f5437,f2565])).
% 32.11/5.98 thf(f2565,definition,(
% 32.11/5.98 spl0_137 <=> (c3 = (g @ c4 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_137])],[avatar_definition])).
% 32.11/5.98 thf(f5437,definition,(
% 32.11/5.98 spl0_211 <=> (c4 = (g @ c3 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_211])],[avatar_definition])).
% 32.11/5.98 thf(f2480,definition,(
% 32.11/5.98 spl0_123 <=> (c3 = (g @ c3 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_123])],[avatar_definition])).
% 32.11/5.98 thf(f2628,definition,(
% 32.11/5.98 spl0_145 <=> (c5 = (g @ c3 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_145])],[avatar_definition])).
% 32.11/5.98 thf(f4742,definition,(
% 32.11/5.98 spl0_204 <=> (c4 = (g @ c3 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_204])],[avatar_definition])).
% 32.11/5.98 thf(f12929,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c2)) | (c4 = (g @ c3 @ c2)) | (c4 = (g @ c3 @ c3)) | (c3 = (g @ c3 @ c2)) | (c5 = (g @ c3 @ c2))),
% 32.11/5.98 inference(superposition,[status(thm)],[f650,f13])).
% 32.11/5.98 thf(f13,plain,(
% 32.11/5.98 (c3 = (s @ c2))),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f29764,plain,(
% 32.11/5.98 spl0_55 | spl0_57 | spl0_56 | spl0_53),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f29763,f609,f656,f660,f652])).
% 32.11/5.98 thf(f652,definition,(
% 32.11/5.98 spl0_55 <=> (c4 = (g @ c3 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_55])],[avatar_definition])).
% 32.11/5.98 thf(f660,definition,(
% 32.11/5.98 spl0_57 <=> (c3 = (g @ c3 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_57])],[avatar_definition])).
% 32.11/5.98 thf(f656,definition,(
% 32.11/5.98 spl0_56 <=> (c5 = (g @ c3 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_56])],[avatar_definition])).
% 32.11/5.98 thf(f609,definition,(
% 32.11/5.98 spl0_53 <=> (c3 = (g @ c4 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_53])],[avatar_definition])).
% 32.11/5.98 thf(f29763,plain,(
% 32.11/5.98 (c3 = (g @ c3 @ c8)) | (c4 = (g @ c3 @ c8)) | (c5 = (g @ c3 @ c8)) | (c3 = (g @ c4 @ c8))),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f12931,f16])).
% 32.11/5.98 thf(f16,plain,(
% 32.11/5.98 ( ! [X5 : $i] : ((c4 != (g @ X5 @ c1))) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f12931,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c8)) | (c5 = (g @ c3 @ c8)) | (c4 = (g @ c3 @ c8)) | (c3 = (g @ c3 @ c8)) | (c4 = (g @ c3 @ c1))),
% 32.11/5.98 inference(superposition,[status(thm)],[f650,f27])).
% 32.11/5.98 thf(f27,plain,(
% 32.11/5.98 ((s @ c8) = c1)),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f29706,plain,(
% 32.11/5.98 spl0_18 | spl0_237 | spl0_261 | spl0_133 | spl0_132),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28332,f2533,f2537,f10938,f9214,f232])).
% 32.11/5.98 thf(f232,definition,(
% 32.11/5.98 spl0_18 <=> (c3 = (g @ c8 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition])).
% 32.11/5.98 thf(f9214,definition,(
% 32.11/5.98 spl0_237 <=> (c4 = (g @ (s @ (s @ c5)) @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_237])],[avatar_definition])).
% 32.11/5.98 thf(f10938,definition,(
% 32.11/5.98 spl0_261 <=> (c4 = (g @ (s @ (s @ c5)) @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_261])],[avatar_definition])).
% 32.11/5.98 thf(f2537,definition,(
% 32.11/5.98 spl0_133 <=> (c3 = (g @ (s @ (s @ c5)) @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_133])],[avatar_definition])).
% 32.11/5.98 thf(f2533,definition,(
% 32.11/5.98 spl0_132 <=> (c5 = (g @ (s @ (s @ c5)) @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_132])],[avatar_definition])).
% 32.11/5.98 thf(f28332,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c3)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ c8 @ c2)) | spl0_132),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f16096,f2534])).
% 32.11/5.98 thf(f2534,plain,(
% 32.11/5.98 (c5 != (g @ (s @ (s @ c5)) @ c2)) | spl0_132),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2533])).
% 32.11/5.98 thf(f16096,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ (s @ c5)) @ c2)) | (c5 = (g @ (s @ (s @ c5)) @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c3))),
% 32.11/5.98 inference(superposition,[status(thm)],[f939,f13])).
% 32.11/5.98 thf(f939,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 = (g @ (s @ (s @ c5)) @ (s @ X0))) | (c3 = (g @ (s @ (s @ c5)) @ X0)) | (c5 = (g @ (s @ (s @ c5)) @ X0)) | (c3 = (g @ c8 @ X0)) | (c4 = (g @ (s @ (s @ c5)) @ X0))) )),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f920])).
% 32.11/5.98 thf(f920,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 = (g @ (s @ (s @ c5)) @ X0)) | (c3 = (g @ c8 @ X0)) | (c4 = (g @ (s @ (s @ c5)) @ (s @ X0))) | (c3 = (g @ (s @ (s @ c5)) @ X0)) | (c5 = (g @ (s @ (s @ c5)) @ X0)) | (c2 != c2)) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f298])).
% 32.11/5.98 thf(f298,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c2 = (g @ (s @ (s @ c5)) @ X0)) | (c3 = (g @ c8 @ X0)) | (c4 = (g @ (s @ (s @ c5)) @ X0)) | (c3 = (g @ (s @ (s @ c5)) @ X0)) | (c5 = (g @ (s @ (s @ c5)) @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f112,f79])).
% 32.11/5.98 thf(f79,plain,(
% 32.11/5.98 (c8 = (s @ (s @ (s @ c5))))),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f78,f11])).
% 32.11/5.98 thf(f78,plain,(
% 32.11/5.98 (c8 = (s @ (s @ (s @ (s @ c4)))))),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f77,f30])).
% 32.11/5.98 thf(f77,plain,(
% 32.11/5.98 (c8 = (s @ (s @ (s @ (s @ (s @ c3))))))),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f76,f13])).
% 32.11/5.98 thf(f76,plain,(
% 32.11/5.98 (c8 = (s @ (s @ (s @ (s @ (s @ (s @ c2)))))))),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f75,f25])).
% 32.11/5.98 thf(f75,plain,(
% 32.11/5.98 (c8 = (s @ (s @ (s @ (s @ (s @ (s @ (s @ c1))))))))),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26,f27])).
% 32.11/5.98 thf(f26,plain,(
% 32.11/5.98 (c8 = (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ c8)))))))))),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f29693,plain,(
% 32.11/5.98 spl0_57 | spl0_55 | spl0_56 | spl0_89),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26506,f1466,f656,f652,f660])).
% 32.11/5.98 thf(f1466,definition,(
% 32.11/5.98 spl0_89 <=> (c1 = (g @ c3 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_89])],[avatar_definition])).
% 32.11/5.98 thf(f26506,plain,(
% 32.11/5.98 (c5 = (g @ c3 @ c8)) | (c4 = (g @ c3 @ c8)) | (c3 = (g @ c3 @ c8)) | spl0_89),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26505,f15])).
% 32.11/5.98 thf(f15,plain,(
% 32.11/5.98 ( ! [X5 : $i] : ((c2 != (g @ X5 @ c8))) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f26505,plain,(
% 32.11/5.98 (c2 = (g @ c3 @ c8)) | (c5 = (g @ c3 @ c8)) | (c3 = (g @ c3 @ c8)) | (c4 = (g @ c3 @ c8)) | spl0_89),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f26504])).
% 32.11/5.98 thf(f26504,plain,(
% 32.11/5.98 (c2 = (g @ c3 @ c8)) | (c5 = (g @ c3 @ c8)) | (c3 = (g @ c3 @ c8)) | (c4 = (g @ c3 @ c8)) | (c1 != c1) | spl0_89),
% 32.11/5.98 inference(superposition,[status(thm)],[f1467,f12])).
% 32.11/5.98 thf(f1467,plain,(
% 32.11/5.98 (c1 != (g @ c3 @ c8)) | spl0_89),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1466])).
% 32.11/5.98 thf(f29655,plain,(
% 32.11/5.98 spl0_31 | ~spl0_24),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f29654,f261,f319])).
% 32.11/5.98 thf(f319,definition,(
% 32.11/5.98 spl0_31 <=> (c3 = c4)),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_31])],[avatar_definition])).
% 32.11/5.98 thf(f261,definition,(
% 32.11/5.98 spl0_24 <=> (c3 = c2)),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_24])],[avatar_definition])).
% 32.11/5.98 thf(f29654,plain,(
% 32.11/5.98 (c3 = c4) | ~spl0_24),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f29620,f30])).
% 32.11/5.98 thf(f29620,plain,(
% 32.11/5.98 (c3 = (s @ c3)) | ~spl0_24),
% 32.11/5.98 inference(backward_demodulation,[status(thm)],[f13,f262])).
% 32.11/5.98 thf(f262,plain,(
% 32.11/5.98 (c3 = c2) | ~spl0_24),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f261])).
% 32.11/5.98 thf(f29611,plain,(
% 32.11/5.98 spl0_142 | spl0_265 | spl0_94 | spl0_141),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f12397,f2604,f1831,f11061,f2608])).
% 32.11/5.98 thf(f2608,definition,(
% 32.11/5.98 spl0_142 <=> (c3 = (g @ c2 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_142])],[avatar_definition])).
% 32.11/5.98 thf(f11061,definition,(
% 32.11/5.98 spl0_265 <=> (c4 = (g @ c1 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_265])],[avatar_definition])).
% 32.11/5.98 thf(f1831,definition,(
% 32.11/5.98 spl0_94 <=> (c4 = (g @ c1 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_94])],[avatar_definition])).
% 32.11/5.98 thf(f2604,definition,(
% 32.11/5.98 spl0_141 <=> (c5 = (g @ c1 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_141])],[avatar_definition])).
% 32.11/5.98 thf(f12397,plain,(
% 32.11/5.98 (c3 = (g @ c2 @ c4)) | (c4 = (g @ c1 @ c4)) | (c4 = (g @ c1 @ c5)) | spl0_141),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f12350,f2605])).
% 32.11/5.98 thf(f2605,plain,(
% 32.11/5.98 (c5 != (g @ c1 @ c4)) | spl0_141),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2604])).
% 32.11/5.98 thf(f12350,plain,(
% 32.11/5.98 (c5 = (g @ c1 @ c4)) | (c4 = (g @ c1 @ c4)) | (c3 = (g @ c2 @ c4)) | (c4 = (g @ c1 @ c5))),
% 32.11/5.98 inference(superposition,[status(thm)],[f376,f11])).
% 32.11/5.98 thf(f376,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 = (g @ c1 @ (s @ X0))) | (c4 = (g @ c1 @ X0)) | (c5 = (g @ c1 @ X0)) | (c3 = (g @ c2 @ X0))) )),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f358])).
% 32.11/5.98 thf(f358,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c5 = (g @ c1 @ X0)) | (c4 = (g @ c1 @ (s @ X0))) | (c4 = (g @ c1 @ X0)) | (c3 = (g @ c2 @ X0)) | (c2 != c2)) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f346])).
% 32.11/5.98 thf(f346,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c2 = (g @ c1 @ X0)) | (c5 = (g @ c1 @ X0)) | (c3 = (g @ c2 @ X0)) | (c4 = (g @ c1 @ X0))) )),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f296,f17])).
% 32.11/5.98 thf(f17,plain,(
% 32.11/5.98 ( ! [X6 : $i] : ((c3 != (g @ c1 @ X6))) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f296,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c2 = (g @ c1 @ X0)) | (c3 = (g @ c2 @ X0)) | (c5 = (g @ c1 @ X0)) | (c4 = (g @ c1 @ X0)) | (c3 = (g @ c1 @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f112,f25])).
% 32.11/5.98 thf(f29601,plain,(
% 32.11/5.98 spl0_66 | spl0_67 | spl0_68),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f29600,f951,f947,f943])).
% 32.11/5.98 thf(f943,definition,(
% 32.11/5.98 spl0_66 <=> (c5 = (g @ (s @ (s @ c5)) @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_66])],[avatar_definition])).
% 32.11/5.98 thf(f947,definition,(
% 32.11/5.98 spl0_67 <=> (c4 = (g @ (s @ (s @ c5)) @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_67])],[avatar_definition])).
% 32.11/5.98 thf(f951,definition,(
% 32.11/5.98 spl0_68 <=> (c3 = (g @ (s @ (s @ c5)) @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_68])],[avatar_definition])).
% 32.11/5.98 thf(f29600,plain,(
% 32.11/5.98 (c5 = (g @ (s @ (s @ c5)) @ c8)) | (c4 = (g @ (s @ (s @ c5)) @ c8)) | (c3 = (g @ (s @ (s @ c5)) @ c8))),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f29599,f38])).
% 32.11/5.98 thf(f38,plain,(
% 32.11/5.98 (c5 != c3)),
% 32.11/5.98 inference(superposition,[status(thm)],[f17,f34])).
% 32.11/5.98 thf(f34,plain,(
% 32.11/5.98 (c5 = (g @ c1 @ c1))),
% 32.11/5.98 inference(equality_resolution,[status(thm)],[f33])).
% 32.11/5.98 thf(f33,plain,(
% 32.11/5.98 ( ! [X3 : $i] : ((c5 = (g @ c1 @ X3)) | (c1 != X3)) )),
% 32.11/5.98 inference(equality_resolution,[status(thm)],[f18])).
% 32.11/5.98 thf(f18,plain,(
% 32.11/5.98 ( ! [X3 : $i,X4 : $i] : ((c5 = (g @ X4 @ X3)) | (c1 != X4) | (c1 != X3)) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f29599,plain,(
% 32.11/5.98 (c5 = c3) | (c5 = (g @ (s @ (s @ c5)) @ c8)) | (c3 = (g @ (s @ (s @ c5)) @ c8)) | (c4 = (g @ (s @ (s @ c5)) @ c8))),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f29598,f32])).
% 32.11/5.98 thf(f32,plain,(
% 32.11/5.98 (c5 = (g @ c8 @ c8))),
% 32.11/5.98 inference(equality_resolution,[status(thm)],[f31])).
% 32.11/5.98 thf(f31,plain,(
% 32.11/5.98 ( ! [X3 : $i] : ((c5 = (g @ c8 @ X3)) | (c8 != X3)) )),
% 32.11/5.98 inference(equality_resolution,[status(thm)],[f19])).
% 32.11/5.98 thf(f19,plain,(
% 32.11/5.98 ( ! [X3 : $i,X4 : $i] : ((c5 = (g @ X4 @ X3)) | (c8 != X4) | (c8 != X3)) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f29598,plain,(
% 32.11/5.98 (c3 = (g @ (s @ (s @ c5)) @ c8)) | (c5 = (g @ (s @ (s @ c5)) @ c8)) | (c3 = (g @ c8 @ c8)) | (c4 = (g @ (s @ (s @ c5)) @ c8))),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f16098,f16])).
% 32.11/5.98 thf(f16098,plain,(
% 32.11/5.98 (c5 = (g @ (s @ (s @ c5)) @ c8)) | (c3 = (g @ c8 @ c8)) | (c4 = (g @ (s @ (s @ c5)) @ c1)) | (c3 = (g @ (s @ (s @ c5)) @ c8)) | (c4 = (g @ (s @ (s @ c5)) @ c8))),
% 32.11/5.98 inference(superposition,[status(thm)],[f939,f27])).
% 32.11/5.98 thf(f29583,plain,(
% 32.11/5.98 spl0_270 | spl0_147 | spl0_179 | spl0_180),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f29582,f2883,f2879,f2640,f11984])).
% 32.11/5.98 thf(f11984,definition,(
% 32.11/5.98 spl0_270 <=> (c4 = (g @ c2 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_270])],[avatar_definition])).
% 32.11/5.98 thf(f2640,definition,(
% 32.11/5.98 spl0_147 <=> (c3 = (g @ c3 @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_147])],[avatar_definition])).
% 32.11/5.98 thf(f2879,definition,(
% 32.11/5.98 spl0_179 <=> (c5 = (g @ c2 @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_179])],[avatar_definition])).
% 32.11/5.98 thf(f2883,definition,(
% 32.11/5.98 spl0_180 <=> (c3 = (g @ c2 @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_180])],[avatar_definition])).
% 32.11/5.98 thf(f29582,plain,(
% 32.11/5.98 (c4 = (g @ c2 @ c2)) | (c3 = (g @ c3 @ c1)) | (c5 = (g @ c2 @ c1)) | (c3 = (g @ c2 @ c1))),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f12584,f16])).
% 32.11/5.98 thf(f12584,plain,(
% 32.11/5.98 (c5 = (g @ c2 @ c1)) | (c3 = (g @ c3 @ c1)) | (c3 = (g @ c2 @ c1)) | (c4 = (g @ c2 @ c2)) | (c4 = (g @ c2 @ c1))),
% 32.11/5.98 inference(superposition,[status(thm)],[f701,f25])).
% 32.11/5.98 thf(f701,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 = (g @ c2 @ (s @ X0))) | (c3 = (g @ c3 @ X0)) | (c5 = (g @ c2 @ X0)) | (c4 = (g @ c2 @ X0)) | (c3 = (g @ c2 @ X0))) )),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f681])).
% 32.11/5.98 thf(f681,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 = (g @ c2 @ X0)) | (c3 = (g @ c2 @ X0)) | (c3 = (g @ c3 @ X0)) | (c4 = (g @ c2 @ (s @ X0))) | (c2 != c2) | (c5 = (g @ c2 @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f295])).
% 32.11/5.98 thf(f295,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c2 = (g @ c2 @ X0)) | (c5 = (g @ c2 @ X0)) | (c3 = (g @ c2 @ X0)) | (c3 = (g @ c3 @ X0)) | (c4 = (g @ c2 @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f112,f13])).
% 32.11/5.98 thf(f29553,plain,(
% 32.11/5.98 spl0_156 | spl0_177 | spl0_209 | spl0_162 | spl0_176),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28639,f2865,f2754,f5040,f2869,f2702])).
% 32.11/5.98 thf(f2702,definition,(
% 32.11/5.98 spl0_156 <=> (c3 = (g @ c4 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_156])],[avatar_definition])).
% 32.11/5.98 thf(f2869,definition,(
% 32.11/5.98 spl0_177 <=> (c3 = (g @ c5 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_177])],[avatar_definition])).
% 32.11/5.98 thf(f5040,definition,(
% 32.11/5.98 spl0_209 <=> (c4 = (g @ c4 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_209])],[avatar_definition])).
% 32.11/5.98 thf(f2754,definition,(
% 32.11/5.98 spl0_162 <=> (c2 = (g @ c4 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_162])],[avatar_definition])).
% 32.11/5.98 thf(f2865,definition,(
% 32.11/5.98 spl0_176 <=> (c5 = (g @ c4 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_176])],[avatar_definition])).
% 32.11/5.98 thf(f28639,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c3)) | (c4 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | (spl0_162 | spl0_176)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28638,f2866])).
% 32.11/5.98 thf(f2866,plain,(
% 32.11/5.98 (c5 != (g @ c4 @ c3)) | spl0_176),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2865])).
% 32.11/5.98 thf(f28638,plain,(
% 32.11/5.98 (c5 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | (c3 = (g @ c4 @ c3)) | (c4 = (g @ c4 @ c3)) | spl0_162),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f28636])).
% 32.11/5.98 thf(f28636,plain,(
% 32.11/5.98 (c2 != c2) | (c3 = (g @ c5 @ c3)) | (c5 = (g @ c4 @ c3)) | (c4 = (g @ c4 @ c3)) | (c3 = (g @ c4 @ c3)) | spl0_162),
% 32.11/5.98 inference(superposition,[status(thm)],[f2755,f293])).
% 32.11/5.98 thf(f293,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c2 = (g @ c4 @ X0)) | (c4 = (g @ c4 @ X0)) | (c3 = (g @ c5 @ X0)) | (c3 = (g @ c4 @ X0)) | (c5 = (g @ c4 @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f112,f11])).
% 32.11/5.98 thf(f2755,plain,(
% 32.11/5.98 (c2 != (g @ c4 @ c3)) | spl0_162),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2754])).
% 32.11/5.98 thf(f29528,plain,(
% 32.11/5.98 spl0_45 | spl0_46 | spl0_47),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f29527,f449,f445,f441])).
% 32.11/5.98 thf(f441,definition,(
% 32.11/5.98 spl0_45 <=> (c5 = (g @ c8 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_45])],[avatar_definition])).
% 32.11/5.98 thf(f445,definition,(
% 32.11/5.98 spl0_46 <=> (c4 = (g @ c8 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_46])],[avatar_definition])).
% 32.11/5.98 thf(f449,definition,(
% 32.11/5.98 spl0_47 <=> (c3 = (g @ c8 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_47])],[avatar_definition])).
% 32.11/5.98 thf(f29527,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ (s @ (s @ c5)))) | (c5 = (g @ c8 @ (s @ (s @ c5)))) | (c4 = (g @ c8 @ (s @ (s @ c5))))),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f29526,f37])).
% 32.11/5.98 thf(f37,plain,(
% 32.11/5.98 (c5 != c4)),
% 32.11/5.98 inference(superposition,[status(thm)],[f16,f34])).
% 32.11/5.98 thf(f29526,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ (s @ (s @ c5)))) | (c5 = (g @ c8 @ (s @ (s @ c5)))) | (c3 = (g @ c8 @ (s @ (s @ c5)))) | (c5 = c4)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f9160,f32])).
% 32.11/5.98 thf(f9160,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ (s @ (s @ c5)))) | (c5 = (g @ c8 @ (s @ (s @ c5)))) | (c4 = (g @ c8 @ c8)) | (c4 = (g @ c8 @ (s @ (s @ c5))))),
% 32.11/5.98 inference(superposition,[status(thm)],[f203,f79])).
% 32.11/5.98 thf(f203,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 = (g @ c8 @ (s @ X0))) | (c5 = (g @ c8 @ X0)) | (c4 = (g @ c8 @ X0)) | (c3 = (g @ c8 @ X0))) )),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f183])).
% 32.11/5.98 thf(f183,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c5 = (g @ c8 @ X0)) | (c3 = (g @ c8 @ X0)) | (c4 = (g @ c8 @ (s @ X0))) | (c4 = (g @ c8 @ X0)) | (c2 != c2)) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f113])).
% 32.11/5.98 thf(f113,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c2 = (g @ c8 @ X0)) | (c4 = (g @ c8 @ X0)) | (c3 = (g @ c8 @ X0)) | (c5 = (g @ c8 @ X0))) )),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f93])).
% 32.11/5.98 thf(f93,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c3 = (g @ c8 @ X0)) | (c1 != c1) | (c4 = (g @ c8 @ X0)) | (c2 = (g @ c8 @ X0)) | (c5 = (g @ c8 @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f14,f12])).
% 32.11/5.98 thf(f14,plain,(
% 32.11/5.98 ( ! [X6 : $i] : ((c1 != (g @ c8 @ X6))) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f29521,plain,(
% 32.11/5.98 spl0_124 | spl0_207 | spl0_175 | spl0_208),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f13060,f4918,f2845,f4897,f2484])).
% 32.11/5.98 thf(f2484,definition,(
% 32.11/5.98 spl0_124 <=> (c3 = (g @ c2 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_124])],[avatar_definition])).
% 32.11/5.98 thf(f4897,definition,(
% 32.11/5.98 spl0_207 <=> (c4 = (g @ c1 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_207])],[avatar_definition])).
% 32.11/5.98 thf(f2845,definition,(
% 32.11/5.98 spl0_175 <=> (c5 = (g @ c1 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_175])],[avatar_definition])).
% 32.11/5.98 thf(f4918,definition,(
% 32.11/5.98 spl0_208 <=> (c4 = (g @ c1 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_208])],[avatar_definition])).
% 32.11/5.98 thf(f13060,plain,(
% 32.11/5.98 (c5 = (g @ c1 @ c2)) | (c4 = (g @ c1 @ c3)) | (c3 = (g @ c2 @ c2)) | spl0_208),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f12352,f4919])).
% 32.11/5.98 thf(f4919,plain,(
% 32.11/5.98 (c4 != (g @ c1 @ c2)) | spl0_208),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f4918])).
% 32.11/5.98 thf(f12352,plain,(
% 32.11/5.98 (c4 = (g @ c1 @ c2)) | (c4 = (g @ c1 @ c3)) | (c5 = (g @ c1 @ c2)) | (c3 = (g @ c2 @ c2))),
% 32.11/5.98 inference(superposition,[status(thm)],[f376,f13])).
% 32.11/5.98 thf(f29466,plain,(
% 32.11/5.98 spl0_22 | spl0_266 | spl0_152 | spl0_238 | spl0_151),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f15035,f2677,f9225,f2681,f11102,f251])).
% 32.11/5.98 thf(f251,definition,(
% 32.11/5.98 spl0_22 <=> (c3 = (g @ c8 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_22])],[avatar_definition])).
% 32.11/5.98 thf(f11102,definition,(
% 32.11/5.98 spl0_266 <=> (c4 = (g @ (s @ (s @ c5)) @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_266])],[avatar_definition])).
% 32.11/5.98 thf(f2681,definition,(
% 32.11/5.98 spl0_152 <=> (c3 = (g @ (s @ (s @ c5)) @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_152])],[avatar_definition])).
% 32.11/5.98 thf(f9225,definition,(
% 32.11/5.98 spl0_238 <=> (c4 = (g @ (s @ (s @ c5)) @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_238])],[avatar_definition])).
% 32.11/5.98 thf(f2677,definition,(
% 32.11/5.98 spl0_151 <=> (c5 = (g @ (s @ (s @ c5)) @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_151])],[avatar_definition])).
% 32.11/5.98 thf(f15035,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c5)) | (c3 = (g @ (s @ (s @ c5)) @ c4)) | spl0_151),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f13861,f2678])).
% 32.11/5.98 thf(f2678,plain,(
% 32.11/5.98 (c5 != (g @ (s @ (s @ c5)) @ c4)) | spl0_151),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2677])).
% 32.11/5.98 thf(f13861,plain,(
% 32.11/5.98 (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c5)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ c8 @ c4)) | (c3 = (g @ (s @ (s @ c5)) @ c4))),
% 32.11/5.98 inference(superposition,[status(thm)],[f939,f11])).
% 32.11/5.98 thf(f29292,plain,(
% 32.11/5.98 spl0_265 | spl0_31 | spl0_94 | spl0_141 | ~spl0_263),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28360,f11045,f2604,f1831,f319,f11061])).
% 32.11/5.98 thf(f11045,definition,(
% 32.11/5.98 spl0_263 <=> (c4 = (g @ c2 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_263])],[avatar_definition])).
% 32.11/5.98 thf(f28360,plain,(
% 32.11/5.98 (c3 = c4) | (c4 = (g @ c1 @ c5)) | (c4 = (g @ c1 @ c4)) | (spl0_141 | ~spl0_263)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f12397,f11047])).
% 32.11/5.98 thf(f11047,plain,(
% 32.11/5.98 (c4 = (g @ c2 @ c4)) | ~spl0_263),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f11045])).
% 32.11/5.98 thf(f29257,plain,(
% 32.11/5.98 ~spl0_31),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f29256])).
% 32.11/5.98 thf(f29256,plain,(
% 32.11/5.98 $false | ~spl0_31),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f29255,f37])).
% 32.11/5.98 thf(f29255,plain,(
% 32.11/5.98 (c5 = c4) | ~spl0_31),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f29154,f11])).
% 32.11/5.98 thf(f29154,plain,(
% 32.11/5.98 (c4 = (s @ c4)) | ~spl0_31),
% 32.11/5.98 inference(backward_demodulation,[status(thm)],[f30,f320])).
% 32.11/5.98 thf(f320,plain,(
% 32.11/5.98 (c3 = c4) | ~spl0_31),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f319])).
% 32.11/5.98 thf(f29101,plain,(
% 32.11/5.98 spl0_148 | spl0_259 | spl0_170 | spl0_171),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f22839,f2806,f2802,f10746,f2644])).
% 32.11/5.98 thf(f2644,definition,(
% 32.11/5.98 spl0_148 <=> (c3 = (g @ c4 @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_148])],[avatar_definition])).
% 32.11/5.98 thf(f10746,definition,(
% 32.11/5.98 spl0_259 <=> (c4 = (g @ c4 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_259])],[avatar_definition])).
% 32.11/5.98 thf(f2802,definition,(
% 32.11/5.98 spl0_170 <=> (c3 = (g @ c5 @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_170])],[avatar_definition])).
% 32.11/5.98 thf(f2806,definition,(
% 32.11/5.98 spl0_171 <=> (c5 = (g @ c4 @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_171])],[avatar_definition])).
% 32.11/5.98 thf(f22839,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c1)) | (c4 = (g @ c4 @ c2)) | (c3 = (g @ c5 @ c1)) | spl0_171),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f12807,f2807])).
% 32.11/5.98 thf(f2807,plain,(
% 32.11/5.98 (c5 != (g @ c4 @ c1)) | spl0_171),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2806])).
% 32.11/5.98 thf(f12807,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c2)) | (c3 = (g @ c4 @ c1)) | (c5 = (g @ c4 @ c1)) | (c3 = (g @ c5 @ c1))),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f12527,f16])).
% 32.11/5.98 thf(f12527,plain,(
% 32.11/5.98 (c5 = (g @ c4 @ c1)) | (c4 = (g @ c4 @ c1)) | (c3 = (g @ c5 @ c1)) | (c3 = (g @ c4 @ c1)) | (c4 = (g @ c4 @ c2))),
% 32.11/5.98 inference(superposition,[status(thm)],[f599,f25])).
% 32.11/5.98 thf(f599,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 = (g @ c4 @ (s @ X0))) | (c3 = (g @ c5 @ X0)) | (c5 = (g @ c4 @ X0)) | (c3 = (g @ c4 @ X0)) | (c4 = (g @ c4 @ X0))) )),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f580])).
% 32.11/5.98 thf(f580,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c3 = (g @ c4 @ X0)) | (c3 = (g @ c5 @ X0)) | (c5 = (g @ c4 @ X0)) | (c2 != c2) | (c4 = (g @ c4 @ (s @ X0))) | (c4 = (g @ c4 @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f293])).
% 32.11/5.98 thf(f29082,plain,(
% 32.11/5.98 spl0_170 | spl0_148 | spl0_135 | spl0_171),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28558,f2806,f2557,f2644,f2802])).
% 32.11/5.98 thf(f2557,definition,(
% 32.11/5.98 spl0_135 <=> (c2 = (g @ c4 @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_135])],[avatar_definition])).
% 32.11/5.98 thf(f28558,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c1)) | (c3 = (g @ c5 @ c1)) | (spl0_135 | spl0_171)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28557,f16])).
% 32.11/5.98 thf(f28557,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c1)) | (c3 = (g @ c5 @ c1)) | (c3 = (g @ c4 @ c1)) | (spl0_135 | spl0_171)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28556,f2807])).
% 32.11/5.98 thf(f28556,plain,(
% 32.11/5.98 (c3 = (g @ c5 @ c1)) | (c5 = (g @ c4 @ c1)) | (c3 = (g @ c4 @ c1)) | (c4 = (g @ c4 @ c1)) | spl0_135),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f28554])).
% 32.11/5.98 thf(f28554,plain,(
% 32.11/5.98 (c2 != c2) | (c4 = (g @ c4 @ c1)) | (c5 = (g @ c4 @ c1)) | (c3 = (g @ c4 @ c1)) | (c3 = (g @ c5 @ c1)) | spl0_135),
% 32.11/5.98 inference(superposition,[status(thm)],[f2558,f293])).
% 32.11/5.98 thf(f2558,plain,(
% 32.11/5.98 (c2 != (g @ c4 @ c1)) | spl0_135),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2557])).
% 32.11/5.98 thf(f29072,plain,(
% 32.11/5.98 spl0_31 | ~spl0_142 | ~spl0_263),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f29071,f11045,f2608,f319])).
% 32.11/5.98 thf(f29071,plain,(
% 32.11/5.98 (c3 = c4) | (~spl0_142 | ~spl0_263)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f2610,f11047])).
% 32.11/5.98 thf(f2610,plain,(
% 32.11/5.98 (c3 = (g @ c2 @ c4)) | ~spl0_142),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2608])).
% 32.11/5.98 thf(f29028,plain,(
% 32.11/5.98 spl0_31 | ~spl0_90 | ~spl0_91),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f29027,f1818,f1814,f319])).
% 32.11/5.98 thf(f1814,definition,(
% 32.11/5.98 spl0_90 <=> (c3 = (g @ c3 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_90])],[avatar_definition])).
% 32.11/5.98 thf(f29027,plain,(
% 32.11/5.98 (c3 = c4) | (~spl0_90 | ~spl0_91)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f1816,f1820])).
% 32.11/5.98 thf(f1820,plain,(
% 32.11/5.98 (c4 = (g @ c3 @ c5)) | ~spl0_91),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1818])).
% 32.11/5.98 thf(f1816,plain,(
% 32.11/5.98 (c3 = (g @ c3 @ c5)) | ~spl0_90),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1814])).
% 32.11/5.98 thf(f28990,plain,(
% 32.11/5.98 spl0_9 | ~spl0_136 | ~spl0_178),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f28989])).
% 32.11/5.98 thf(f28989,plain,(
% 32.11/5.98 $false | (spl0_9 | ~spl0_136 | ~spl0_178)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28988,f154])).
% 32.11/5.98 thf(f154,plain,(
% 32.11/5.98 (c1 != c2) | spl0_9),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f152])).
% 32.11/5.98 thf(f152,definition,(
% 32.11/5.98 spl0_9 <=> (c1 = c2)),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 32.11/5.98 thf(f28988,plain,(
% 32.11/5.98 (c1 = c2) | (~spl0_136 | ~spl0_178)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f28574,f2875])).
% 32.11/5.98 thf(f2875,plain,(
% 32.11/5.98 (c2 = (g @ c4 @ c2)) | ~spl0_178),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2873])).
% 32.11/5.98 thf(f2873,definition,(
% 32.11/5.98 spl0_178 <=> (c2 = (g @ c4 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_178])],[avatar_definition])).
% 32.11/5.98 thf(f28574,plain,(
% 32.11/5.98 (c1 = (g @ c4 @ c2)) | ~spl0_136),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f28566])).
% 32.11/5.98 thf(f28566,plain,(
% 32.11/5.98 (c3 != c3) | (c1 = (g @ c4 @ c2)) | ~spl0_136),
% 32.11/5.98 inference(superposition,[status(thm)],[f70,f2563])).
% 32.11/5.98 thf(f2563,plain,(
% 32.11/5.98 (c3 = (g @ c5 @ c2)) | ~spl0_136),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2561])).
% 32.11/5.98 thf(f2561,definition,(
% 32.11/5.98 spl0_136 <=> (c3 = (g @ c5 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_136])],[avatar_definition])).
% 32.11/5.98 thf(f70,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c3 != (g @ c5 @ X0)) | (c1 = (g @ c4 @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f29,f11])).
% 32.11/5.98 thf(f29,plain,(
% 32.11/5.98 ( ! [X0 : $i,X1 : $i] : ((c3 != (g @ (s @ X1) @ X0)) | (c1 = (g @ X1 @ X0))) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f28913,plain,(
% 32.11/5.98 spl0_108 | spl0_238 | spl0_110 | spl0_109 | spl0_31 | ~spl0_42 | spl0_111 | spl0_151 | spl0_152),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28912,f2681,f2677,f2416,f424,f319,f2408,f2412,f9225,f2404])).
% 32.11/5.98 thf(f2404,definition,(
% 32.11/5.98 spl0_108 <=> (c2 = (g @ (s @ c5) @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_108])],[avatar_definition])).
% 32.11/5.98 thf(f2412,definition,(
% 32.11/5.98 spl0_110 <=> (c4 = (g @ (s @ c5) @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_110])],[avatar_definition])).
% 32.11/5.98 thf(f2408,definition,(
% 32.11/5.98 spl0_109 <=> (c3 = (g @ (s @ c5) @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_109])],[avatar_definition])).
% 32.11/5.98 thf(f424,definition,(
% 32.11/5.98 spl0_42 <=> (c4 = (g @ c8 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_42])],[avatar_definition])).
% 32.11/5.98 thf(f2416,definition,(
% 32.11/5.98 spl0_111 <=> (c5 = (g @ (s @ c5) @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_111])],[avatar_definition])).
% 32.11/5.98 thf(f28912,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_31 | ~spl0_42 | spl0_111 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28911,f2417])).
% 32.11/5.98 thf(f2417,plain,(
% 32.11/5.98 (c5 != (g @ (s @ c5) @ c5)) | spl0_111),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2416])).
% 32.11/5.98 thf(f28911,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ (s @ c5) @ c5)) | (c5 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ c5)) | (spl0_31 | ~spl0_42 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f28910,f11])).
% 32.11/5.98 thf(f28910,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ (s @ c4))) | (c2 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ (s @ c5) @ c5)) | (spl0_31 | ~spl0_42 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28909,f321])).
% 32.11/5.98 thf(f321,plain,(
% 32.11/5.98 (c3 != c4) | spl0_31),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f319])).
% 32.11/5.98 thf(f28909,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c2 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ c5) @ c5)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ c5)) | (c3 = c4) | (spl0_31 | ~spl0_42 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f28908,f426])).
% 32.11/5.98 thf(f426,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ c4)) | ~spl0_42),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f424])).
% 32.11/5.98 thf(f28908,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ c8 @ c4)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (spl0_31 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f28907,f11])).
% 32.11/5.98 thf(f28907,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ c8 @ c4)) | (c2 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (spl0_31 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f28906,f11])).
% 32.11/5.98 thf(f28906,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ c8 @ c4)) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (spl0_31 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f28905,f11])).
% 32.11/5.98 thf(f28905,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ c8 @ c4)) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (spl0_31 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28900,f2678])).
% 32.11/5.98 thf(f28900,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ (s @ c4))) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ c8 @ c4)) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_31 | spl0_152)),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f28896])).
% 32.11/5.98 thf(f28896,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ c8 @ c4)) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c3 != c3) | (spl0_31 | spl0_152)),
% 32.11/5.98 inference(superposition,[status(thm)],[f2682,f13899])).
% 32.11/5.98 thf(f13899,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c3 = (g @ (s @ (s @ c5)) @ X0)) | (c3 = (g @ c8 @ X0)) | (c4 = (g @ (s @ c5) @ (s @ X0))) | (c3 = (g @ (s @ c5) @ (s @ X0))) | (c4 = (g @ (s @ (s @ c5)) @ X0)) | (c5 = (g @ (s @ (s @ c5)) @ X0)) | (c2 = (g @ (s @ c5) @ (s @ X0))) | (c5 = (g @ (s @ c5) @ (s @ X0)))) ) | spl0_31),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f13875,f321])).
% 32.11/5.98 thf(f13875,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c3 = (g @ c8 @ X0)) | (c5 = (g @ (s @ c5) @ (s @ X0))) | (c5 = (g @ (s @ (s @ c5)) @ X0)) | (c4 = (g @ (s @ (s @ c5)) @ X0)) | (c3 = (g @ (s @ (s @ c5)) @ X0)) | (c4 = (g @ (s @ c5) @ (s @ X0))) | (c2 = (g @ (s @ c5) @ (s @ X0))) | (c3 = (g @ (s @ c5) @ (s @ X0))) | (c3 = c4)) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f112,f939])).
% 32.11/5.98 thf(f2682,plain,(
% 32.11/5.98 (c3 != (g @ (s @ (s @ c5)) @ c4)) | spl0_152),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2681])).
% 32.11/5.98 thf(f28832,plain,(
% 32.11/5.98 spl0_266 | ~spl0_117),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28831,f2451,f11102])).
% 32.11/5.98 thf(f2451,definition,(
% 32.11/5.98 spl0_117 <=> (c2 = (g @ (s @ (s @ c5)) @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_117])],[avatar_definition])).
% 32.11/5.98 thf(f28831,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c5)) | ~spl0_117),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f28830,f11])).
% 32.11/5.98 thf(f28830,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ (s @ c4))) | ~spl0_117),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f28823])).
% 32.11/5.98 thf(f28823,plain,(
% 32.11/5.98 (c2 != c2) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c4))) | ~spl0_117),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f2453])).
% 32.11/5.98 thf(f2453,plain,(
% 32.11/5.98 (c2 = (g @ (s @ (s @ c5)) @ c4)) | ~spl0_117),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2451])).
% 32.11/5.98 thf(f28635,plain,(
% 32.11/5.98 spl0_211 | ~spl0_154),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28634,f2694,f5437])).
% 32.11/5.98 thf(f2694,definition,(
% 32.11/5.98 spl0_154 <=> (c2 = (g @ c3 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_154])],[avatar_definition])).
% 32.11/5.98 thf(f28634,plain,(
% 32.11/5.98 (c4 = (g @ c3 @ c3)) | ~spl0_154),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f28633,f13])).
% 32.11/5.98 thf(f28633,plain,(
% 32.11/5.98 (c4 = (g @ c3 @ (s @ c2))) | ~spl0_154),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f28626])).
% 32.11/5.98 thf(f28626,plain,(
% 32.11/5.98 (c4 = (g @ c3 @ (s @ c2))) | (c2 != c2) | ~spl0_154),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f2696])).
% 32.11/5.98 thf(f2696,plain,(
% 32.11/5.98 (c2 = (g @ c3 @ c2)) | ~spl0_154),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2694])).
% 32.11/5.98 thf(f28506,plain,(
% 32.11/5.98 spl0_174 | ~spl0_101),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28505,f1861,f2827])).
% 32.11/5.98 thf(f2827,definition,(
% 32.11/5.98 spl0_174 <=> (c2 = (g @ c4 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_174])],[avatar_definition])).
% 32.11/5.98 thf(f1861,definition,(
% 32.11/5.98 spl0_101 <=> (c4 = (g @ c4 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_101])],[avatar_definition])).
% 32.11/5.98 thf(f28505,plain,(
% 32.11/5.98 (c2 = (g @ c4 @ c4)) | ~spl0_101),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f28495])).
% 32.11/5.98 thf(f28495,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ c4 @ c4)) | ~spl0_101),
% 32.11/5.98 inference(superposition,[status(thm)],[f63,f1863])).
% 32.11/5.98 thf(f1863,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c5)) | ~spl0_101),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1861])).
% 32.11/5.98 thf(f63,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 != (g @ X0 @ c5)) | (c2 = (g @ X0 @ c4))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f10,f11])).
% 32.11/5.98 thf(f10,plain,(
% 32.11/5.98 ( ! [X10 : $i,X9 : $i] : ((c4 != (g @ X9 @ (s @ X10))) | (c2 = (g @ X9 @ X10))) )),
% 32.11/5.98 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.98 thf(f28366,plain,(
% 32.11/5.98 spl0_277 | spl0_245 | spl0_54 | spl0_276 | spl0_275),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f20405,f12170,f12174,f613,f10343,f12178])).
% 32.11/5.98 thf(f12178,definition,(
% 32.11/5.98 spl0_277 <=> (c3 = (g @ c4 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_277])],[avatar_definition])).
% 32.11/5.98 thf(f10343,definition,(
% 32.11/5.98 spl0_245 <=> (c3 = (g @ c5 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_245])],[avatar_definition])).
% 32.11/5.98 thf(f613,definition,(
% 32.11/5.98 spl0_54 <=> (c4 = (g @ c4 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_54])],[avatar_definition])).
% 32.11/5.98 thf(f12174,definition,(
% 32.11/5.98 spl0_276 <=> (c4 = (g @ c4 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_276])],[avatar_definition])).
% 32.11/5.98 thf(f12170,definition,(
% 32.11/5.98 spl0_275 <=> (c5 = (g @ c4 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_275])],[avatar_definition])).
% 32.11/5.98 thf(f20405,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c8)) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ (s @ (s @ c5)))) | spl0_275),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f14232,f12171])).
% 32.11/5.98 thf(f12171,plain,(
% 32.11/5.98 (c5 != (g @ c4 @ (s @ (s @ c5)))) | spl0_275),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f12170])).
% 32.11/5.98 thf(f14232,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ c8)) | (c5 = (g @ c4 @ (s @ (s @ c5)))) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ (s @ (s @ c5))))),
% 32.11/5.98 inference(superposition,[status(thm)],[f599,f79])).
% 32.11/5.98 thf(f28353,plain,(
% 32.11/5.98 spl0_213 | spl0_18 | spl0_261 | spl0_31 | spl0_132 | spl0_133 | spl0_214 | spl0_215 | spl0_216),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28352,f7198,f7194,f7190,f2537,f2533,f319,f10938,f232,f7186])).
% 32.11/5.98 thf(f7186,definition,(
% 32.11/5.98 spl0_213 <=> (c3 = (g @ (s @ c5) @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_213])],[avatar_definition])).
% 32.11/5.98 thf(f7190,definition,(
% 32.11/5.98 spl0_214 <=> (c2 = (g @ (s @ c5) @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_214])],[avatar_definition])).
% 32.11/5.98 thf(f7194,definition,(
% 32.11/5.98 spl0_215 <=> (c5 = (g @ (s @ c5) @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_215])],[avatar_definition])).
% 32.11/5.98 thf(f7198,definition,(
% 32.11/5.98 spl0_216 <=> (c4 = (g @ (s @ c5) @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_216])],[avatar_definition])).
% 32.11/5.98 thf(f28352,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c2)) | (c3 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_31 | spl0_132 | spl0_133 | spl0_214 | spl0_215 | spl0_216)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f28351,f13])).
% 32.11/5.98 thf(f28351,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ c8 @ c2)) | (spl0_31 | spl0_132 | spl0_133 | spl0_214 | spl0_215 | spl0_216)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26882,f7199])).
% 32.11/5.98 thf(f7199,plain,(
% 32.11/5.98 (c4 != (g @ (s @ c5) @ c3)) | spl0_216),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f7198])).
% 32.11/5.98 thf(f26882,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c2)) | (c4 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (spl0_31 | spl0_132 | spl0_133 | spl0_214 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26881,f7191])).
% 32.11/5.98 thf(f7191,plain,(
% 32.11/5.98 (c2 != (g @ (s @ c5) @ c3)) | spl0_214),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f7190])).
% 32.11/5.98 thf(f26881,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c3)) | (c3 = (g @ c8 @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (c2 = (g @ (s @ c5) @ c3)) | (spl0_31 | spl0_132 | spl0_133 | spl0_215)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26880,f13])).
% 32.11/5.98 thf(f26880,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ c8 @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_31 | spl0_132 | spl0_133 | spl0_215)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26879,f13])).
% 32.11/5.98 thf(f26879,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ c8 @ c2)) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (spl0_31 | spl0_132 | spl0_133 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26878,f7195])).
% 32.11/5.98 thf(f7195,plain,(
% 32.11/5.98 (c5 != (g @ (s @ c5) @ c3)) | spl0_215),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f7194])).
% 32.11/5.98 thf(f26878,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c2)) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ c5) @ (s @ c2))) | (c5 = (g @ (s @ c5) @ c3)) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_31 | spl0_132 | spl0_133)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26877,f13])).
% 32.11/5.98 thf(f26877,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ c8 @ c2)) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_31 | spl0_132 | spl0_133)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26872,f2534])).
% 32.11/5.98 thf(f26872,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ c8 @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c5 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_31 | spl0_133)),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f26868])).
% 32.11/5.98 thf(f26868,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ (s @ c2))) | (c5 = (g @ (s @ c5) @ (s @ c2))) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c3 != c3) | (c5 = (g @ (s @ (s @ c5)) @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ c8 @ c2)) | (spl0_31 | spl0_133)),
% 32.11/5.98 inference(superposition,[status(thm)],[f2538,f13899])).
% 32.11/5.98 thf(f2538,plain,(
% 32.11/5.98 (c3 != (g @ (s @ (s @ c5)) @ c2)) | spl0_133),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2537])).
% 32.11/5.98 thf(f28350,plain,(
% 32.11/5.98 spl0_3 | ~spl0_54 | ~spl0_88),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f28349])).
% 32.11/5.98 thf(f28349,plain,(
% 32.11/5.98 $false | (spl0_3 | ~spl0_54 | ~spl0_88)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28348,f125])).
% 32.11/5.98 thf(f125,plain,(
% 32.11/5.98 (c1 != c4) | spl0_3),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f123])).
% 32.11/5.98 thf(f123,definition,(
% 32.11/5.98 spl0_3 <=> (c1 = c4)),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 32.11/5.98 thf(f28348,plain,(
% 32.11/5.98 (c1 = c4) | (~spl0_54 | ~spl0_88)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f1463,f615])).
% 32.11/5.98 thf(f615,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c8)) | ~spl0_54),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f613])).
% 32.11/5.98 thf(f1463,plain,(
% 32.11/5.98 (c1 = (g @ c4 @ c8)) | ~spl0_88),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1461])).
% 32.11/5.98 thf(f1461,definition,(
% 32.11/5.98 spl0_88 <=> (c1 = (g @ c4 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_88])],[avatar_definition])).
% 32.11/5.98 thf(f28347,plain,(
% 32.11/5.98 spl0_93 | spl0_101 | spl0_99 | spl0_100 | spl0_289),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28346,f14292,f1857,f1853,f1861,f1826])).
% 32.11/5.98 thf(f1826,definition,(
% 32.11/5.98 spl0_93 <=> (c3 = (g @ c4 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_93])],[avatar_definition])).
% 32.11/5.98 thf(f1853,definition,(
% 32.11/5.98 spl0_99 <=> (c3 = (g @ c5 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_99])],[avatar_definition])).
% 32.11/5.98 thf(f1857,definition,(
% 32.11/5.98 spl0_100 <=> (c5 = (g @ c4 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_100])],[avatar_definition])).
% 32.11/5.98 thf(f14292,definition,(
% 32.11/5.98 spl0_289 <=> (c4 = (g @ c4 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_289])],[avatar_definition])).
% 32.11/5.98 thf(f28346,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (spl0_99 | spl0_100 | spl0_289)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28345,f1858])).
% 32.11/5.98 thf(f1858,plain,(
% 32.11/5.98 (c5 != (g @ c4 @ c5)) | spl0_100),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1857])).
% 32.11/5.98 thf(f28345,plain,(
% 32.11/5.98 (c5 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (c4 = (g @ c4 @ c5)) | (spl0_99 | spl0_289)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27174,f1854])).
% 32.11/5.98 thf(f1854,plain,(
% 32.11/5.98 (c3 != (g @ c5 @ c5)) | spl0_99),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1853])).
% 32.11/5.98 thf(f27174,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c5)) | (c3 = (g @ c5 @ c5)) | (c5 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | spl0_289),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27171])).
% 32.11/5.98 thf(f27171,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c5)) | (c5 = (g @ c4 @ c5)) | (c4 != c4) | (c3 = (g @ c5 @ c5)) | (c3 = (g @ c4 @ c5)) | spl0_289),
% 32.11/5.98 inference(superposition,[status(thm)],[f14293,f599])).
% 32.11/5.98 thf(f14293,plain,(
% 32.11/5.98 (c4 != (g @ c4 @ (s @ c5))) | spl0_289),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f14292])).
% 32.11/5.98 thf(f28344,plain,(
% 32.11/5.98 spl0_264 | spl0_119 | spl0_91 | spl0_120 | spl0_122),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26437,f2474,f2466,f1818,f2462,f11055])).
% 32.11/5.98 thf(f26437,plain,(
% 32.11/5.98 (c4 = (g @ c3 @ c5)) | (c4 = (g @ c3 @ c4)) | (c3 = (g @ c4 @ c4)) | (spl0_120 | spl0_122)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f16734,f2475])).
% 32.11/5.98 thf(f2475,plain,(
% 32.11/5.98 (c3 != (g @ c3 @ c4)) | spl0_122),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2474])).
% 32.11/5.98 thf(f28342,plain,(
% 32.11/5.98 spl0_93 | spl0_101 | spl0_31 | spl0_99 | spl0_100 | ~spl0_291),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28341,f14300,f1857,f1853,f319,f1861,f1826])).
% 32.11/5.98 thf(f14300,definition,(
% 32.11/5.98 spl0_291 <=> (c3 = (g @ c4 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_291])],[avatar_definition])).
% 32.11/5.98 thf(f28341,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c5)) | (c4 = (g @ c4 @ c5)) | (spl0_31 | spl0_99 | spl0_100 | ~spl0_291)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28340,f321])).
% 32.11/5.98 thf(f28340,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c5)) | (c4 = (g @ c4 @ c5)) | (c3 = c4) | (spl0_99 | spl0_100 | ~spl0_291)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28339,f1854])).
% 32.11/5.98 thf(f28339,plain,(
% 32.11/5.98 (c3 = (g @ c5 @ c5)) | (c3 = c4) | (c4 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (spl0_100 | ~spl0_291)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28265,f1858])).
% 32.11/5.98 thf(f28265,plain,(
% 32.11/5.98 (c5 = (g @ c4 @ c5)) | (c3 = c4) | (c4 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (c3 = (g @ c5 @ c5)) | ~spl0_291),
% 32.11/5.98 inference(superposition,[status(thm)],[f14302,f599])).
% 32.11/5.98 thf(f14302,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ (s @ c5))) | ~spl0_291),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f14300])).
% 32.11/5.98 thf(f28338,plain,(
% 32.11/5.98 spl0_110 | spl0_108 | spl0_238 | spl0_109 | spl0_22 | spl0_31 | spl0_111 | spl0_151 | spl0_152),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25889,f2681,f2677,f2416,f319,f251,f2408,f9225,f2404,f2412])).
% 32.11/5.98 thf(f25889,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ c5) @ c5)) | (spl0_22 | spl0_31 | spl0_111 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f25888,f11])).
% 32.11/5.98 thf(f25888,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (spl0_22 | spl0_31 | spl0_111 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f25887,f11])).
% 32.11/5.98 thf(f25887,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (spl0_22 | spl0_31 | spl0_111 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25886,f2417])).
% 32.11/5.98 thf(f25886,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c5 = (g @ (s @ c5) @ c5)) | (spl0_22 | spl0_31 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f25258,f11])).
% 32.11/5.98 thf(f25258,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_22 | spl0_31 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f25257,f11])).
% 32.11/5.98 thf(f25257,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ (s @ c5) @ (s @ c4))) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (spl0_22 | spl0_31 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25256,f2678])).
% 32.11/5.98 thf(f25256,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ (s @ c4))) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (spl0_22 | spl0_31 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25250,f252])).
% 32.11/5.98 thf(f252,plain,(
% 32.11/5.98 (c3 != (g @ c8 @ c4)) | spl0_22),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f251])).
% 32.11/5.98 thf(f25250,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ c8 @ c4)) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ (s @ c4))) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_31 | spl0_152)),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f25246])).
% 32.11/5.98 thf(f25246,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ c8 @ c4)) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c3 != c3) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (spl0_31 | spl0_152)),
% 32.11/5.98 inference(superposition,[status(thm)],[f2682,f13899])).
% 32.11/5.98 thf(f28327,plain,(
% 32.11/5.98 spl0_101 | spl0_93 | spl0_99 | spl0_100 | spl0_210),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28326,f5374,f1857,f1853,f1826,f1861])).
% 32.11/5.98 thf(f5374,definition,(
% 32.11/5.98 spl0_210 <=> (c2 = (g @ c4 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_210])],[avatar_definition])).
% 32.11/5.98 thf(f28326,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (spl0_99 | spl0_100 | spl0_210)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28325,f1854])).
% 32.11/5.98 thf(f28325,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c5)) | (c4 = (g @ c4 @ c5)) | (c3 = (g @ c5 @ c5)) | (spl0_100 | spl0_210)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27154,f1858])).
% 32.11/5.98 thf(f27154,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c5)) | (c5 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (c3 = (g @ c5 @ c5)) | spl0_210),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27152])).
% 32.11/5.98 thf(f27152,plain,(
% 32.11/5.98 (c3 = (g @ c5 @ c5)) | (c5 = (g @ c4 @ c5)) | (c4 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (c2 != c2) | spl0_210),
% 32.11/5.98 inference(superposition,[status(thm)],[f5375,f293])).
% 32.11/5.98 thf(f5375,plain,(
% 32.11/5.98 (c2 != (g @ c4 @ c5)) | spl0_210),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f5374])).
% 32.11/5.98 thf(f28307,plain,(
% 32.11/5.98 spl0_238 | spl0_108 | spl0_110 | spl0_109 | spl0_31 | ~spl0_42 | spl0_111 | spl0_151 | spl0_152),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26042,f2681,f2677,f2416,f424,f319,f2408,f2412,f2404,f9225])).
% 32.11/5.98 thf(f26042,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ (s @ c5) @ c5)) | (spl0_31 | ~spl0_42 | spl0_111 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26041,f11])).
% 32.11/5.98 thf(f26041,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_31 | ~spl0_42 | spl0_111 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26040,f11])).
% 32.11/5.98 thf(f26040,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_31 | ~spl0_42 | spl0_111 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26039,f2417])).
% 32.11/5.98 thf(f26039,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_31 | ~spl0_42 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26038,f11])).
% 32.11/5.98 thf(f26038,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (spl0_31 | ~spl0_42 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26037,f321])).
% 32.11/5.98 thf(f26037,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ c5)) | (c3 = c4) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_31 | ~spl0_42 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26036,f426])).
% 32.11/5.98 thf(f26036,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c4)) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ c5)) | (spl0_31 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26035,f11])).
% 32.11/5.98 thf(f26035,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ c8 @ c4)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (spl0_31 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26034,f2678])).
% 32.11/5.98 thf(f26034,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c4)) | (c3 = (g @ (s @ c5) @ (s @ c4))) | (c2 = (g @ (s @ c5) @ (s @ c4))) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (spl0_31 | spl0_152)),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f26029])).
% 32.11/5.98 thf(f26029,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ (s @ c4))) | (c3 = (g @ (s @ c5) @ (s @ c4))) | (c5 = (g @ (s @ c5) @ (s @ c4))) | (c4 = (g @ (s @ c5) @ (s @ c4))) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ c8 @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 != c3) | (spl0_31 | spl0_152)),
% 32.11/5.98 inference(superposition,[status(thm)],[f2682,f13899])).
% 32.11/5.98 thf(f28299,plain,(
% 32.11/5.98 spl0_24 | ~spl0_185 | ~spl0_272),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f28298])).
% 32.11/5.98 thf(f28298,plain,(
% 32.11/5.98 $false | (spl0_24 | ~spl0_185 | ~spl0_272)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28281,f263])).
% 32.11/5.98 thf(f263,plain,(
% 32.11/5.98 (c3 != c2) | spl0_24),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f261])).
% 32.11/5.98 thf(f28281,plain,(
% 32.11/5.98 (c3 = c2) | (~spl0_185 | ~spl0_272)),
% 32.11/5.98 inference(backward_demodulation,[status(thm)],[f2988,f12103])).
% 32.11/5.98 thf(f12103,plain,(
% 32.11/5.98 (c3 = (g @ c3 @ (s @ (s @ c5)))) | ~spl0_272),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f12101])).
% 32.11/5.98 thf(f12101,definition,(
% 32.11/5.98 spl0_272 <=> (c3 = (g @ c3 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_272])],[avatar_definition])).
% 32.11/5.98 thf(f2988,plain,(
% 32.11/5.98 (c2 = (g @ c3 @ (s @ (s @ c5)))) | ~spl0_185),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2986])).
% 32.11/5.98 thf(f2986,definition,(
% 32.11/5.98 spl0_185 <=> (c2 = (g @ c3 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_185])],[avatar_definition])).
% 32.11/5.98 thf(f28070,plain,(
% 32.11/5.98 spl0_108 | spl0_109 | spl0_1 | ~spl0_15 | spl0_110 | spl0_111),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f28069,f2416,f2412,f218,f115,f2408,f2404])).
% 32.11/5.98 thf(f218,definition,(
% 32.11/5.98 spl0_15 <=> (c3 = (g @ c8 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition])).
% 32.11/5.98 thf(f28069,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ c5)) | (spl0_1 | ~spl0_15 | spl0_110 | spl0_111)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28068,f117])).
% 32.11/5.98 thf(f117,plain,(
% 32.11/5.98 (c1 != c3) | spl0_1),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f115])).
% 32.11/5.98 thf(f28068,plain,(
% 32.11/5.98 (c1 = c3) | (c3 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ c5)) | (~spl0_15 | spl0_110 | spl0_111)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28067,f2413])).
% 32.11/5.98 thf(f2413,plain,(
% 32.11/5.98 (c4 != (g @ (s @ c5) @ c5)) | spl0_110),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2412])).
% 32.11/5.98 thf(f28067,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ c5)) | (c1 = c3) | (c2 = (g @ (s @ c5) @ c5)) | (~spl0_15 | spl0_111)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f28047,f2417])).
% 32.11/5.98 thf(f28047,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ c5)) | (c1 = c3) | (c4 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ c5)) | ~spl0_15),
% 32.11/5.98 inference(superposition,[status(thm)],[f27412,f112])).
% 32.11/5.98 thf(f27412,plain,(
% 32.11/5.98 (c1 = (g @ (s @ (s @ c5)) @ c5)) | ~spl0_15),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27403])).
% 32.11/5.98 thf(f27403,plain,(
% 32.11/5.98 (c1 = (g @ (s @ (s @ c5)) @ c5)) | (c3 != c3) | ~spl0_15),
% 32.11/5.98 inference(superposition,[status(thm)],[f83,f220])).
% 32.11/5.98 thf(f220,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c5)) | ~spl0_15),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f218])).
% 32.11/5.98 thf(f83,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c3 != (g @ c8 @ X0)) | (c1 = (g @ (s @ (s @ c5)) @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f29,f79])).
% 32.11/5.98 thf(f27994,plain,(
% 32.11/5.98 spl0_291 | spl0_13 | ~spl0_185 | spl0_286 | spl0_292 | spl0_293),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27993,f17136,f17132,f14272,f2986,f210,f14300])).
% 32.11/5.98 thf(f14272,definition,(
% 32.11/5.98 spl0_286 <=> (c3 = (g @ c3 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_286])],[avatar_definition])).
% 32.11/5.98 thf(f17132,definition,(
% 32.11/5.98 spl0_292 <=> (c5 = (g @ c3 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_292])],[avatar_definition])).
% 32.11/5.98 thf(f17136,definition,(
% 32.11/5.98 spl0_293 <=> (c4 = (g @ c3 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_293])],[avatar_definition])).
% 32.11/5.98 thf(f27993,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ (s @ c5))) | (spl0_13 | ~spl0_185 | spl0_286 | spl0_292 | spl0_293)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27992,f17137])).
% 32.11/5.98 thf(f17137,plain,(
% 32.11/5.98 (c4 != (g @ c3 @ (s @ c5))) | spl0_293),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f17136])).
% 32.11/5.98 thf(f27992,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ (s @ c5))) | (c4 = (g @ c3 @ (s @ c5))) | (spl0_13 | ~spl0_185 | spl0_286 | spl0_292)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27991,f14273])).
% 32.11/5.98 thf(f14273,plain,(
% 32.11/5.98 (c3 != (g @ c3 @ (s @ c5))) | spl0_286),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f14272])).
% 32.11/5.98 thf(f27991,plain,(
% 32.11/5.98 (c3 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c4 @ (s @ c5))) | (c4 = (g @ c3 @ (s @ c5))) | (spl0_13 | ~spl0_185 | spl0_292)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27990,f17133])).
% 32.11/5.98 thf(f17133,plain,(
% 32.11/5.98 (c5 != (g @ c3 @ (s @ c5))) | spl0_292),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f17132])).
% 32.11/5.98 thf(f27990,plain,(
% 32.11/5.98 (c5 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c4 @ (s @ c5))) | (c3 = (g @ c3 @ (s @ c5))) | (c4 = (g @ c3 @ (s @ c5))) | (spl0_13 | ~spl0_185)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27974,f212])).
% 32.11/5.98 thf(f27974,plain,(
% 32.11/5.98 (c2 = c4) | (c3 = (g @ c3 @ (s @ c5))) | (c5 = (g @ c3 @ (s @ c5))) | (c4 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c4 @ (s @ c5))) | ~spl0_185),
% 32.11/5.98 inference(superposition,[status(thm)],[f650,f2988])).
% 32.11/5.98 thf(f27945,plain,(
% 32.11/5.98 spl0_272 | spl0_274 | spl0_271 | spl0_167 | spl0_273),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27944,f12105,f2786,f12097,f12109,f12101])).
% 32.11/5.98 thf(f12109,definition,(
% 32.11/5.98 spl0_274 <=> (c4 = (g @ c2 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_274])],[avatar_definition])).
% 32.11/5.98 thf(f12097,definition,(
% 32.11/5.98 spl0_271 <=> (c3 = (g @ c2 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_271])],[avatar_definition])).
% 32.11/5.98 thf(f2786,definition,(
% 32.11/5.98 spl0_167 <=> (c2 = (g @ c2 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_167])],[avatar_definition])).
% 32.11/5.98 thf(f12105,definition,(
% 32.11/5.98 spl0_273 <=> (c5 = (g @ c2 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_273])],[avatar_definition])).
% 32.11/5.98 thf(f27944,plain,(
% 32.11/5.98 (c3 = (g @ c3 @ (s @ (s @ c5)))) | (c4 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = (g @ c2 @ (s @ (s @ c5)))) | (spl0_167 | spl0_273)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27943,f12106])).
% 32.11/5.98 thf(f12106,plain,(
% 32.11/5.98 (c5 != (g @ c2 @ (s @ (s @ c5)))) | spl0_273),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f12105])).
% 32.11/5.98 thf(f27943,plain,(
% 32.11/5.98 (c4 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = (g @ c2 @ (s @ (s @ c5)))) | (c5 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = (g @ c3 @ (s @ (s @ c5)))) | spl0_167),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27941])).
% 32.11/5.98 thf(f27941,plain,(
% 32.11/5.98 (c3 = (g @ c3 @ (s @ (s @ c5)))) | (c4 = (g @ c2 @ (s @ (s @ c5)))) | (c5 = (g @ c2 @ (s @ (s @ c5)))) | (c2 != c2) | (c3 = (g @ c2 @ (s @ (s @ c5)))) | spl0_167),
% 32.11/5.98 inference(superposition,[status(thm)],[f2787,f295])).
% 32.11/5.98 thf(f2787,plain,(
% 32.11/5.98 (c2 != (g @ c2 @ (s @ (s @ c5)))) | spl0_167),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2786])).
% 32.11/5.98 thf(f27929,plain,(
% 32.11/5.98 spl0_214 | spl0_216 | spl0_213 | spl0_24 | ~spl0_153 | spl0_215),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27928,f7194,f2685,f261,f7186,f7198,f7190])).
% 32.11/5.98 thf(f2685,definition,(
% 32.11/5.98 spl0_153 <=> (c2 = (g @ (s @ (s @ c5)) @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_153])],[avatar_definition])).
% 32.11/5.98 thf(f27928,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (spl0_24 | ~spl0_153 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27927,f263])).
% 32.11/5.98 thf(f27927,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c3)) | (c3 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (c3 = c2) | (~spl0_153 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27911,f7195])).
% 32.11/5.98 thf(f27911,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ c3)) | (c3 = c2) | (c3 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | ~spl0_153),
% 32.11/5.98 inference(superposition,[status(thm)],[f112,f2687])).
% 32.11/5.98 thf(f2687,plain,(
% 32.11/5.98 (c2 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_153),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2685])).
% 32.11/5.98 thf(f27880,plain,(
% 32.11/5.98 spl0_223 | spl0_24 | ~spl0_134 | spl0_221 | spl0_222),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27879,f7420,f7416,f2541,f261,f7424])).
% 32.11/5.98 thf(f7424,definition,(
% 32.11/5.98 spl0_223 <=> (c3 = (g @ (s @ c5) @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_223])],[avatar_definition])).
% 32.11/5.98 thf(f2541,definition,(
% 32.11/5.98 spl0_134 <=> (c2 = (g @ (s @ (s @ c5)) @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_134])],[avatar_definition])).
% 32.11/5.98 thf(f7416,definition,(
% 32.11/5.98 spl0_221 <=> (c5 = (g @ (s @ c5) @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_221])],[avatar_definition])).
% 32.11/5.98 thf(f7420,definition,(
% 32.11/5.98 spl0_222 <=> (c2 = (g @ (s @ c5) @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_222])],[avatar_definition])).
% 32.11/5.98 thf(f27879,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c1)) | (spl0_24 | ~spl0_134 | spl0_221 | spl0_222)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27878,f263])).
% 32.11/5.98 thf(f27878,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c1)) | (c3 = c2) | (~spl0_134 | spl0_221 | spl0_222)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27877,f7417])).
% 32.11/5.98 thf(f7417,plain,(
% 32.11/5.98 (c5 != (g @ (s @ c5) @ c1)) | spl0_221),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f7416])).
% 32.11/5.98 thf(f27877,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ c1)) | (c3 = c2) | (c3 = (g @ (s @ c5) @ c1)) | (~spl0_134 | spl0_222)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27876,f16])).
% 32.11/5.98 thf(f27876,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c1)) | (c3 = c2) | (c3 = (g @ (s @ c5) @ c1)) | (c5 = (g @ (s @ c5) @ c1)) | (~spl0_134 | spl0_222)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27833,f7421])).
% 32.11/5.98 thf(f7421,plain,(
% 32.11/5.98 (c2 != (g @ (s @ c5) @ c1)) | spl0_222),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f7420])).
% 32.11/5.98 thf(f27833,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c1)) | (c5 = (g @ (s @ c5) @ c1)) | (c4 = (g @ (s @ c5) @ c1)) | (c3 = (g @ (s @ c5) @ c1)) | (c3 = c2) | ~spl0_134),
% 32.11/5.98 inference(superposition,[status(thm)],[f2543,f112])).
% 32.11/5.98 thf(f2543,plain,(
% 32.11/5.98 (c2 = (g @ (s @ (s @ c5)) @ c1)) | ~spl0_134),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2541])).
% 32.11/5.98 thf(f27781,plain,(
% 32.11/5.98 spl0_238 | spl0_31 | ~spl0_42 | spl0_117 | spl0_151 | spl0_152),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27780,f2681,f2677,f2451,f424,f319,f9225])).
% 32.11/5.98 thf(f27780,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_31 | ~spl0_42 | spl0_117 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27779,f321])).
% 32.11/5.98 thf(f27779,plain,(
% 32.11/5.98 (c3 = c4) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (~spl0_42 | spl0_117 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f27778,f426])).
% 32.11/5.98 thf(f27778,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_117 | spl0_151 | spl0_152)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27777,f2682])).
% 32.11/5.98 thf(f27777,plain,(
% 32.11/5.98 (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ c8 @ c4)) | (spl0_117 | spl0_151)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27776,f2678])).
% 32.11/5.98 thf(f27776,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ (s @ (s @ c5)) @ c4)) | spl0_117),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27773])).
% 32.11/5.98 thf(f27773,plain,(
% 32.11/5.98 (c2 != c2) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ c8 @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | spl0_117),
% 32.11/5.98 inference(superposition,[status(thm)],[f2452,f298])).
% 32.11/5.98 thf(f2452,plain,(
% 32.11/5.98 (c2 != (g @ (s @ (s @ c5)) @ c4)) | spl0_117),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2451])).
% 32.11/5.98 thf(f27768,plain,(
% 32.11/5.98 spl0_213 | spl0_214 | spl0_216 | spl0_114 | spl0_215),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27767,f7194,f2434,f7198,f7190,f7186])).
% 32.11/5.98 thf(f2434,definition,(
% 32.11/5.98 spl0_114 <=> (c3 = (g @ (s @ (s @ c5)) @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_114])],[avatar_definition])).
% 32.11/5.98 thf(f27767,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (spl0_114 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27762,f7195])).
% 32.11/5.98 thf(f27762,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c3)) | (c3 = (g @ (s @ c5) @ c3)) | (c5 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ c3)) | spl0_114),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27760])).
% 32.11/5.98 thf(f27760,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c3)) | (c3 != c3) | (c5 = (g @ (s @ c5) @ c3)) | (c3 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | spl0_114),
% 32.11/5.98 inference(superposition,[status(thm)],[f2435,f112])).
% 32.11/5.98 thf(f2435,plain,(
% 32.11/5.98 (c3 != (g @ (s @ (s @ c5)) @ c3)) | spl0_114),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2434])).
% 32.11/5.98 thf(f27756,plain,(
% 32.11/5.98 spl0_261 | spl0_31 | ~spl0_44 | spl0_112 | spl0_132 | spl0_133),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27755,f2537,f2533,f2426,f434,f319,f10938])).
% 32.11/5.98 thf(f434,definition,(
% 32.11/5.98 spl0_44 <=> (c4 = (g @ c8 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_44])],[avatar_definition])).
% 32.11/5.98 thf(f2426,definition,(
% 32.11/5.98 spl0_112 <=> (c2 = (g @ (s @ (s @ c5)) @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_112])],[avatar_definition])).
% 32.11/5.98 thf(f27755,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_31 | ~spl0_44 | spl0_112 | spl0_132 | spl0_133)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27754,f321])).
% 32.11/5.98 thf(f27754,plain,(
% 32.11/5.98 (c3 = c4) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (~spl0_44 | spl0_112 | spl0_132 | spl0_133)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f27753,f436])).
% 32.11/5.98 thf(f436,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ c2)) | ~spl0_44),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f434])).
% 32.11/5.98 thf(f27753,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_112 | spl0_132 | spl0_133)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27752,f2538])).
% 32.11/5.98 thf(f27752,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_112 | spl0_132)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27751,f2534])).
% 32.11/5.98 thf(f27751,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c2)) | (c5 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ (s @ c5)) @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | spl0_112),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27748])).
% 32.11/5.98 thf(f27748,plain,(
% 32.11/5.98 (c2 != c2) | (c5 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ (s @ c5)) @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ c8 @ c2)) | spl0_112),
% 32.11/5.98 inference(superposition,[status(thm)],[f2427,f298])).
% 32.11/5.98 thf(f2427,plain,(
% 32.11/5.98 (c2 != (g @ (s @ (s @ c5)) @ c2)) | spl0_112),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2426])).
% 32.11/5.98 thf(f27627,plain,(
% 32.11/5.98 spl0_262 | ~spl0_162),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27626,f2754,f11039])).
% 32.11/5.98 thf(f11039,definition,(
% 32.11/5.98 spl0_262 <=> (c4 = (g @ c4 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_262])],[avatar_definition])).
% 32.11/5.98 thf(f27626,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c4)) | ~spl0_162),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f27625,f30])).
% 32.11/5.98 thf(f27625,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ (s @ c3))) | ~spl0_162),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27618])).
% 32.11/5.98 thf(f27618,plain,(
% 32.11/5.98 (c2 != c2) | (c4 = (g @ c4 @ (s @ c3))) | ~spl0_162),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f2756])).
% 32.11/5.98 thf(f2756,plain,(
% 32.11/5.98 (c2 = (g @ c4 @ c3)) | ~spl0_162),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2754])).
% 32.11/5.98 thf(f27608,plain,(
% 32.11/5.98 spl0_204 | spl0_31 | spl0_123 | spl0_145 | spl0_154 | ~spl0_259),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27607,f10746,f2694,f2628,f2480,f319,f4742])).
% 32.11/5.98 thf(f27607,plain,(
% 32.11/5.98 (c4 = (g @ c3 @ c2)) | (spl0_31 | spl0_123 | spl0_145 | spl0_154 | ~spl0_259)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27606,f321])).
% 32.11/5.98 thf(f27606,plain,(
% 32.11/5.98 (c3 = c4) | (c4 = (g @ c3 @ c2)) | (spl0_123 | spl0_145 | spl0_154 | ~spl0_259)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f27605,f10748])).
% 32.11/5.98 thf(f10748,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c2)) | ~spl0_259),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f10746])).
% 32.11/5.98 thf(f27605,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c2)) | (c4 = (g @ c3 @ c2)) | (spl0_123 | spl0_145 | spl0_154)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27604,f2629])).
% 32.11/5.98 thf(f2629,plain,(
% 32.11/5.98 (c5 != (g @ c3 @ c2)) | spl0_145),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2628])).
% 32.11/5.98 thf(f27604,plain,(
% 32.11/5.98 (c4 = (g @ c3 @ c2)) | (c5 = (g @ c3 @ c2)) | (c3 = (g @ c4 @ c2)) | (spl0_123 | spl0_154)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27603,f2481])).
% 32.11/5.98 thf(f2481,plain,(
% 32.11/5.98 (c3 != (g @ c3 @ c2)) | spl0_123),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2480])).
% 32.11/5.98 thf(f27603,plain,(
% 32.11/5.98 (c4 = (g @ c3 @ c2)) | (c3 = (g @ c4 @ c2)) | (c3 = (g @ c3 @ c2)) | (c5 = (g @ c3 @ c2)) | spl0_154),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27601])).
% 32.11/5.98 thf(f27601,plain,(
% 32.11/5.98 (c2 != c2) | (c5 = (g @ c3 @ c2)) | (c3 = (g @ c4 @ c2)) | (c4 = (g @ c3 @ c2)) | (c3 = (g @ c3 @ c2)) | spl0_154),
% 32.11/5.98 inference(superposition,[status(thm)],[f2695,f294])).
% 32.11/5.98 thf(f2695,plain,(
% 32.11/5.98 (c2 != (g @ c3 @ c2)) | spl0_154),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2694])).
% 32.11/5.98 thf(f27493,plain,(
% 32.11/5.98 spl0_185 | ~spl0_55),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27492,f652,f2986])).
% 32.11/5.98 thf(f27492,plain,(
% 32.11/5.98 (c2 = (g @ c3 @ (s @ (s @ c5)))) | ~spl0_55),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27481])).
% 32.11/5.98 thf(f27481,plain,(
% 32.11/5.98 (c2 = (g @ c3 @ (s @ (s @ c5)))) | (c4 != c4) | ~spl0_55),
% 32.11/5.98 inference(superposition,[status(thm)],[f84,f654])).
% 32.11/5.98 thf(f654,plain,(
% 32.11/5.98 (c4 = (g @ c3 @ c8)) | ~spl0_55),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f652])).
% 32.11/5.98 thf(f84,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 != (g @ X0 @ c8)) | (c2 = (g @ X0 @ (s @ (s @ c5))))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f10,f79])).
% 32.11/5.98 thf(f27426,plain,(
% 32.11/5.98 spl0_248 | ~spl0_86),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27425,f1453,f10355])).
% 32.11/5.98 thf(f10355,definition,(
% 32.11/5.98 spl0_248 <=> (c2 = (g @ c5 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_248])],[avatar_definition])).
% 32.11/5.98 thf(f1453,definition,(
% 32.11/5.98 spl0_86 <=> (c4 = (g @ c5 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_86])],[avatar_definition])).
% 32.11/5.98 thf(f27425,plain,(
% 32.11/5.98 (c2 = (g @ c5 @ (s @ (s @ c5)))) | ~spl0_86),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27415])).
% 32.11/5.98 thf(f27415,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ c5 @ (s @ (s @ c5)))) | ~spl0_86),
% 32.11/5.98 inference(superposition,[status(thm)],[f84,f1455])).
% 32.11/5.98 thf(f1455,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ c8)) | ~spl0_86),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1453])).
% 32.11/5.98 thf(f27394,plain,(
% 32.11/5.98 spl0_263 | spl0_268 | spl0_164 | spl0_155 | spl0_166),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f18094,f2777,f2698,f2769,f11561,f11045])).
% 32.11/5.98 thf(f11561,definition,(
% 32.11/5.98 spl0_268 <=> (c4 = (g @ c2 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_268])],[avatar_definition])).
% 32.11/5.98 thf(f2769,definition,(
% 32.11/5.98 spl0_164 <=> (c3 = (g @ c2 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_164])],[avatar_definition])).
% 32.11/5.98 thf(f2698,definition,(
% 32.11/5.98 spl0_155 <=> (c3 = (g @ c3 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_155])],[avatar_definition])).
% 32.11/5.98 thf(f2777,definition,(
% 32.11/5.98 spl0_166 <=> (c5 = (g @ c2 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_166])],[avatar_definition])).
% 32.11/5.98 thf(f18094,plain,(
% 32.11/5.98 (c3 = (g @ c2 @ c3)) | (c3 = (g @ c3 @ c3)) | (c4 = (g @ c2 @ c3)) | (c4 = (g @ c2 @ c4)) | spl0_166),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f12582,f2778])).
% 32.11/5.98 thf(f2778,plain,(
% 32.11/5.98 (c5 != (g @ c2 @ c3)) | spl0_166),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2777])).
% 32.11/5.98 thf(f12582,plain,(
% 32.11/5.98 (c3 = (g @ c3 @ c3)) | (c5 = (g @ c2 @ c3)) | (c4 = (g @ c2 @ c4)) | (c4 = (g @ c2 @ c3)) | (c3 = (g @ c2 @ c3))),
% 32.11/5.98 inference(superposition,[status(thm)],[f701,f30])).
% 32.11/5.98 thf(f27377,plain,(
% 32.11/5.98 spl0_213 | spl0_261 | spl0_216 | spl0_31 | ~spl0_44 | spl0_132 | spl0_133 | spl0_214 | spl0_215),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26885,f7194,f7190,f2537,f2533,f434,f319,f7198,f10938,f7186])).
% 32.11/5.98 thf(f26885,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (spl0_31 | ~spl0_44 | spl0_132 | spl0_133 | spl0_214 | spl0_215)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26884,f13])).
% 32.11/5.98 thf(f26884,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (spl0_31 | ~spl0_44 | spl0_132 | spl0_133 | spl0_214 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26883,f321])).
% 32.11/5.98 thf(f26883,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = c4) | (c4 = (g @ (s @ c5) @ c3)) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (spl0_31 | ~spl0_44 | spl0_132 | spl0_133 | spl0_214 | spl0_215)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26882,f436])).
% 32.11/5.98 thf(f27350,plain,(
% 32.11/5.98 spl0_3 | ~spl0_47 | ~spl0_282),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f27349])).
% 32.11/5.98 thf(f27349,plain,(
% 32.11/5.98 $false | (spl0_3 | ~spl0_47 | ~spl0_282)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27348,f125])).
% 32.11/5.98 thf(f27348,plain,(
% 32.11/5.98 (c1 = c4) | (~spl0_47 | ~spl0_282)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f25754,f13743])).
% 32.11/5.98 thf(f13743,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | ~spl0_282),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f13741])).
% 32.11/5.98 thf(f13741,definition,(
% 32.11/5.98 spl0_282 <=> (c4 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_282])],[avatar_definition])).
% 32.11/5.98 thf(f25754,plain,(
% 32.11/5.98 (c1 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | ~spl0_47),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f25745])).
% 32.11/5.98 thf(f25745,plain,(
% 32.11/5.98 (c3 != c3) | (c1 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | ~spl0_47),
% 32.11/5.98 inference(superposition,[status(thm)],[f83,f451])).
% 32.11/5.98 thf(f451,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ (s @ (s @ c5)))) | ~spl0_47),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f449])).
% 32.11/5.98 thf(f27243,plain,(
% 32.11/5.98 spl0_247 | ~spl0_244),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27242,f10297,f10351])).
% 32.11/5.98 thf(f10351,definition,(
% 32.11/5.98 spl0_247 <=> (c4 = (g @ c5 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_247])],[avatar_definition])).
% 32.11/5.98 thf(f10297,definition,(
% 32.11/5.98 spl0_244 <=> (c2 = (g @ c5 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_244])],[avatar_definition])).
% 32.11/5.98 thf(f27242,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ (s @ (s @ c5)))) | ~spl0_244),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27235])).
% 32.11/5.98 thf(f27235,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ (s @ (s @ c5)))) | (c2 != c2) | ~spl0_244),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f10299])).
% 32.11/5.98 thf(f10299,plain,(
% 32.11/5.98 (c2 = (g @ c5 @ (s @ c5))) | ~spl0_244),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f10297])).
% 32.11/5.98 thf(f27151,plain,(
% 32.11/5.98 spl0_9 | ~spl0_99 | ~spl0_210),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f27150])).
% 32.11/5.98 thf(f27150,plain,(
% 32.11/5.98 $false | (spl0_9 | ~spl0_99 | ~spl0_210)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f27135,f154])).
% 32.11/5.98 thf(f27135,plain,(
% 32.11/5.98 (c1 = c2) | (~spl0_99 | ~spl0_210)),
% 32.11/5.98 inference(backward_demodulation,[status(thm)],[f26596,f5376])).
% 32.11/5.98 thf(f5376,plain,(
% 32.11/5.98 (c2 = (g @ c4 @ c5)) | ~spl0_210),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f5374])).
% 32.11/5.98 thf(f26596,plain,(
% 32.11/5.98 (c1 = (g @ c4 @ c5)) | ~spl0_99),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f26588])).
% 32.11/5.98 thf(f26588,plain,(
% 32.11/5.98 (c1 = (g @ c4 @ c5)) | (c3 != c3) | ~spl0_99),
% 32.11/5.98 inference(superposition,[status(thm)],[f70,f1855])).
% 32.11/5.98 thf(f1855,plain,(
% 32.11/5.98 (c3 = (g @ c5 @ c5)) | ~spl0_99),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1853])).
% 32.11/5.98 thf(f27134,plain,(
% 32.11/5.98 spl0_210 | ~spl0_289),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27133,f14292,f5374])).
% 32.11/5.98 thf(f27133,plain,(
% 32.11/5.98 (c2 = (g @ c4 @ c5)) | ~spl0_289),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27123])).
% 32.11/5.98 thf(f27123,plain,(
% 32.11/5.98 (c2 = (g @ c4 @ c5)) | (c4 != c4) | ~spl0_289),
% 32.11/5.98 inference(superposition,[status(thm)],[f10,f14294])).
% 32.11/5.98 thf(f14294,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ (s @ c5))) | ~spl0_289),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f14292])).
% 32.11/5.98 thf(f27011,plain,(
% 32.11/5.98 spl0_278 | ~spl0_217),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f27010,f7228,f12784])).
% 32.11/5.98 thf(f12784,definition,(
% 32.11/5.98 spl0_278 <=> (c2 = (g @ c5 @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_278])],[avatar_definition])).
% 32.11/5.98 thf(f7228,definition,(
% 32.11/5.98 spl0_217 <=> (c4 = (g @ c5 @ c2))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_217])],[avatar_definition])).
% 32.11/5.98 thf(f27010,plain,(
% 32.11/5.98 (c2 = (g @ c5 @ c1)) | ~spl0_217),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f27001])).
% 32.11/5.98 thf(f27001,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ c5 @ c1)) | ~spl0_217),
% 32.11/5.98 inference(superposition,[status(thm)],[f66,f7230])).
% 32.11/5.98 thf(f7230,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ c2)) | ~spl0_217),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f7228])).
% 32.11/5.98 thf(f66,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 != (g @ X0 @ c2)) | (c2 = (g @ X0 @ c1))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f10,f25])).
% 32.11/5.98 thf(f26928,plain,(
% 32.11/5.98 spl0_203 | spl0_13 | ~spl0_139 | spl0_239 | spl0_240),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26927,f9495,f9491,f2584,f210,f4644])).
% 32.11/5.98 thf(f4644,definition,(
% 32.11/5.98 spl0_203 <=> (c4 = (g @ c1 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_203])],[avatar_definition])).
% 32.11/5.98 thf(f2584,definition,(
% 32.11/5.98 spl0_139 <=> (c2 = (g @ c1 @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_139])],[avatar_definition])).
% 32.11/5.98 thf(f9491,definition,(
% 32.11/5.98 spl0_239 <=> (c3 = (g @ c2 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_239])],[avatar_definition])).
% 32.11/5.98 thf(f9495,definition,(
% 32.11/5.98 spl0_240 <=> (c5 = (g @ c1 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_240])],[avatar_definition])).
% 32.11/5.98 thf(f26927,plain,(
% 32.11/5.98 (c4 = (g @ c1 @ (s @ c5))) | (spl0_13 | ~spl0_139 | spl0_239 | spl0_240)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26926,f9496])).
% 32.11/5.98 thf(f9496,plain,(
% 32.11/5.98 (c5 != (g @ c1 @ (s @ c5))) | spl0_240),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f9495])).
% 32.11/5.98 thf(f26926,plain,(
% 32.11/5.98 (c5 = (g @ c1 @ (s @ c5))) | (c4 = (g @ c1 @ (s @ c5))) | (spl0_13 | ~spl0_139 | spl0_239)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26925,f212])).
% 32.11/5.98 thf(f26925,plain,(
% 32.11/5.98 (c2 = c4) | (c5 = (g @ c1 @ (s @ c5))) | (c4 = (g @ c1 @ (s @ c5))) | (~spl0_139 | spl0_239)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26908,f9492])).
% 32.11/5.98 thf(f9492,plain,(
% 32.11/5.98 (c3 != (g @ c2 @ (s @ c5))) | spl0_239),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f9491])).
% 32.11/5.98 thf(f26908,plain,(
% 32.11/5.98 (c3 = (g @ c2 @ (s @ c5))) | (c4 = (g @ c1 @ (s @ c5))) | (c2 = c4) | (c5 = (g @ c1 @ (s @ c5))) | ~spl0_139),
% 32.11/5.98 inference(superposition,[status(thm)],[f2586,f376])).
% 32.11/5.98 thf(f2586,plain,(
% 32.11/5.98 (c2 = (g @ c1 @ (s @ (s @ c5)))) | ~spl0_139),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2584])).
% 32.11/5.98 thf(f26795,plain,(
% 32.11/5.98 spl0_237 | ~spl0_112),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26794,f2426,f9214])).
% 32.11/5.98 thf(f26794,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_112),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26768,f13])).
% 32.11/5.98 thf(f26768,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ (s @ c2))) | ~spl0_112),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f26761])).
% 32.11/5.98 thf(f26761,plain,(
% 32.11/5.98 (c2 != c2) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c2))) | ~spl0_112),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f2428])).
% 32.11/5.98 thf(f2428,plain,(
% 32.11/5.98 (c2 = (g @ (s @ (s @ c5)) @ c2)) | ~spl0_112),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2426])).
% 32.11/5.98 thf(f26780,plain,(
% 32.11/5.98 spl0_216 | spl0_261 | spl0_24 | spl0_31 | ~spl0_44 | ~spl0_112 | spl0_132 | spl0_213 | spl0_214 | spl0_215),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26779,f7194,f7190,f7186,f2533,f2426,f434,f319,f261,f10938,f7198])).
% 32.11/5.98 thf(f26779,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_24 | spl0_31 | ~spl0_44 | ~spl0_112 | spl0_132 | spl0_213 | spl0_214 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26778,f7191])).
% 32.11/5.98 thf(f26778,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c4 = (g @ (s @ c5) @ c3)) | (spl0_24 | spl0_31 | ~spl0_44 | ~spl0_112 | spl0_132 | spl0_213 | spl0_215)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26777,f13])).
% 32.11/5.98 thf(f26777,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_24 | spl0_31 | ~spl0_44 | ~spl0_112 | spl0_132 | spl0_213 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26776,f321])).
% 32.11/5.98 thf(f26776,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = c4) | (spl0_24 | spl0_31 | ~spl0_44 | ~spl0_112 | spl0_132 | spl0_213 | spl0_215)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26775,f436])).
% 32.11/5.98 thf(f26775,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ c5) @ c3)) | (spl0_24 | spl0_31 | ~spl0_112 | spl0_132 | spl0_213 | spl0_215)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26774,f13])).
% 32.11/5.98 thf(f26774,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ (s @ c2))) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ c8 @ c2)) | (spl0_24 | spl0_31 | ~spl0_112 | spl0_132 | spl0_213 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26773,f7195])).
% 32.11/5.98 thf(f26773,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ c8 @ c2)) | (c5 = (g @ (s @ c5) @ c3)) | (spl0_24 | spl0_31 | ~spl0_112 | spl0_132 | spl0_213)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26772,f13])).
% 32.11/5.98 thf(f26772,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ (s @ c2))) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ c8 @ c2)) | (c4 = (g @ (s @ c5) @ (s @ c2))) | (spl0_24 | spl0_31 | ~spl0_112 | spl0_132 | spl0_213)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26771,f7187])).
% 32.11/5.98 thf(f7187,plain,(
% 32.11/5.98 (c3 != (g @ (s @ c5) @ c3)) | spl0_213),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f7186])).
% 32.11/5.98 thf(f26771,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ c8 @ c2)) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ (s @ c5) @ c3)) | (c5 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ c5) @ (s @ c2))) | (spl0_24 | spl0_31 | ~spl0_112 | spl0_132)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26770,f13])).
% 32.11/5.98 thf(f26770,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ c8 @ c2)) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c5 = (g @ (s @ c5) @ (s @ c2))) | (spl0_24 | spl0_31 | ~spl0_112 | spl0_132)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26769,f263])).
% 32.11/5.98 thf(f26769,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c5 = (g @ (s @ c5) @ (s @ c2))) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ c8 @ c2)) | (c3 = c2) | (spl0_31 | ~spl0_112 | spl0_132)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26753,f2534])).
% 32.11/5.98 thf(f26753,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ (s @ c2))) | (c2 = (g @ (s @ c5) @ (s @ c2))) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c4 = (g @ (s @ c5) @ (s @ c2))) | (c5 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = c2) | (c5 = (g @ (s @ c5) @ (s @ c2))) | (c3 = (g @ c8 @ c2)) | (spl0_31 | ~spl0_112)),
% 32.11/5.98 inference(superposition,[status(thm)],[f2428,f13899])).
% 32.11/5.98 thf(f26645,plain,(
% 32.11/5.98 spl0_259 | ~spl0_135),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26644,f2557,f10746])).
% 32.11/5.98 thf(f26644,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ c2)) | ~spl0_135),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f26643,f25])).
% 32.11/5.98 thf(f26643,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ (s @ c1))) | ~spl0_135),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f26636])).
% 32.11/5.98 thf(f26636,plain,(
% 32.11/5.98 (c2 != c2) | (c4 = (g @ c4 @ (s @ c1))) | ~spl0_135),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f2559])).
% 32.11/5.98 thf(f2559,plain,(
% 32.11/5.98 (c2 = (g @ c4 @ c1)) | ~spl0_135),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2557])).
% 32.11/5.98 thf(f26528,plain,(
% 32.11/5.98 spl0_139 | ~spl0_41),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26526,f387,f2584])).
% 32.11/5.98 thf(f387,definition,(
% 32.11/5.98 spl0_41 <=> (c4 = (g @ c1 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_41])],[avatar_definition])).
% 32.11/5.98 thf(f26526,plain,(
% 32.11/5.98 (c2 = (g @ c1 @ (s @ (s @ c5)))) | ~spl0_41),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f26515])).
% 32.11/5.98 thf(f26515,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ c1 @ (s @ (s @ c5)))) | ~spl0_41),
% 32.11/5.98 inference(superposition,[status(thm)],[f84,f389])).
% 32.11/5.98 thf(f389,plain,(
% 32.11/5.98 (c4 = (g @ c1 @ c8)) | ~spl0_41),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f387])).
% 32.11/5.98 thf(f26461,plain,(
% 32.11/5.98 spl0_109 | spl0_108 | spl0_31 | spl0_110 | spl0_111 | ~spl0_266),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26460,f11102,f2416,f2412,f319,f2404,f2408])).
% 32.11/5.98 thf(f26460,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ c5)) | (spl0_31 | spl0_110 | spl0_111 | ~spl0_266)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26154,f2413])).
% 32.11/5.98 thf(f26154,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ c5)) | (spl0_31 | spl0_111 | ~spl0_266)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26153,f2417])).
% 32.11/5.98 thf(f26153,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ c5)) | (c2 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ c5) @ c5)) | (spl0_31 | ~spl0_266)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26137,f321])).
% 32.11/5.98 thf(f26137,plain,(
% 32.11/5.98 (c3 = c4) | (c2 = (g @ (s @ c5) @ c5)) | (c5 = (g @ (s @ c5) @ c5)) | (c4 = (g @ (s @ c5) @ c5)) | (c3 = (g @ (s @ c5) @ c5)) | ~spl0_266),
% 32.11/5.98 inference(superposition,[status(thm)],[f11104,f112])).
% 32.11/5.98 thf(f11104,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c5)) | ~spl0_266),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f11102])).
% 32.11/5.98 thf(f26459,plain,(
% 32.11/5.98 spl0_86 | spl0_51 | spl0_1 | spl0_87 | ~spl0_260),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f26458,f10758,f1457,f115,f601,f1453])).
% 32.11/5.98 thf(f601,definition,(
% 32.11/5.98 spl0_51 <=> (c3 = (g @ c5 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_51])],[avatar_definition])).
% 32.11/5.98 thf(f1457,definition,(
% 32.11/5.98 spl0_87 <=> (c5 = (g @ c5 @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_87])],[avatar_definition])).
% 32.11/5.98 thf(f10758,definition,(
% 32.11/5.98 spl0_260 <=> (c1 = (g @ (s @ c5) @ c8))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_260])],[avatar_definition])).
% 32.11/5.98 thf(f26458,plain,(
% 32.11/5.98 (c3 = (g @ c5 @ c8)) | (c4 = (g @ c5 @ c8)) | (spl0_1 | spl0_87 | ~spl0_260)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26457,f117])).
% 32.11/5.98 thf(f26457,plain,(
% 32.11/5.98 (c3 = (g @ c5 @ c8)) | (c4 = (g @ c5 @ c8)) | (c1 = c3) | (spl0_87 | ~spl0_260)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26456,f15])).
% 32.11/5.98 thf(f26456,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ c8)) | (c2 = (g @ c5 @ c8)) | (c1 = c3) | (c3 = (g @ c5 @ c8)) | (spl0_87 | ~spl0_260)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26217,f1458])).
% 32.11/5.98 thf(f1458,plain,(
% 32.11/5.98 (c5 != (g @ c5 @ c8)) | spl0_87),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1457])).
% 32.11/5.98 thf(f26217,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ c8)) | (c5 = (g @ c5 @ c8)) | (c3 = (g @ c5 @ c8)) | (c2 = (g @ c5 @ c8)) | (c1 = c3) | ~spl0_260),
% 32.11/5.98 inference(superposition,[status(thm)],[f112,f10760])).
% 32.11/5.98 thf(f10760,plain,(
% 32.11/5.98 (c1 = (g @ (s @ c5) @ c8)) | ~spl0_260),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f10758])).
% 32.11/5.98 thf(f26423,plain,(
% 32.11/5.98 spl0_1 | ~spl0_47 | ~spl0_296),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f26422])).
% 32.11/5.98 thf(f26422,plain,(
% 32.11/5.98 $false | (spl0_1 | ~spl0_47 | ~spl0_296)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f26421,f117])).
% 32.11/5.98 thf(f26421,plain,(
% 32.11/5.98 (c1 = c3) | (~spl0_47 | ~spl0_296)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f25754,f18441])).
% 32.11/5.98 thf(f18441,plain,(
% 32.11/5.98 (c3 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | ~spl0_296),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f18439])).
% 32.11/5.98 thf(f18439,definition,(
% 32.11/5.98 spl0_296 <=> (c3 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_296])],[avatar_definition])).
% 32.11/5.98 thf(f25871,plain,(
% 32.11/5.98 spl0_31 | ~spl0_71 | ~spl0_73),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f25870])).
% 32.11/5.98 thf(f25870,plain,(
% 32.11/5.98 $false | (spl0_31 | ~spl0_71 | ~spl0_73)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25869,f321])).
% 32.11/5.98 thf(f25869,plain,(
% 32.11/5.98 (c3 = c4) | (~spl0_71 | ~spl0_73)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f1006,f998])).
% 32.11/5.98 thf(f998,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ (s @ c5))) | ~spl0_71),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f996])).
% 32.11/5.98 thf(f996,definition,(
% 32.11/5.98 spl0_71 <=> (c4 = (g @ c8 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_71])],[avatar_definition])).
% 32.11/5.98 thf(f1006,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ (s @ c5))) | ~spl0_73),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1004])).
% 32.11/5.98 thf(f1004,definition,(
% 32.11/5.98 spl0_73 <=> (c3 = (g @ c8 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_73])],[avatar_definition])).
% 32.11/5.98 thf(f25784,plain,(
% 32.11/5.98 spl0_260 | ~spl0_68),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25783,f951,f10758])).
% 32.11/5.98 thf(f25783,plain,(
% 32.11/5.98 (c1 = (g @ (s @ c5) @ c8)) | ~spl0_68),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f25775])).
% 32.11/5.98 thf(f25775,plain,(
% 32.11/5.98 (c3 != c3) | (c1 = (g @ (s @ c5) @ c8)) | ~spl0_68),
% 32.11/5.98 inference(superposition,[status(thm)],[f29,f953])).
% 32.11/5.98 thf(f953,plain,(
% 32.11/5.98 (c3 = (g @ (s @ (s @ c5)) @ c8)) | ~spl0_68),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f951])).
% 32.11/5.98 thf(f25669,plain,(
% 32.11/5.98 spl0_53 | ~spl0_89),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25668,f1466,f609])).
% 32.11/5.98 thf(f25668,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c8)) | ~spl0_89),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f25662,f30])).
% 32.11/5.98 thf(f25662,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c3) @ c8)) | ~spl0_89),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f25661])).
% 32.11/5.98 thf(f25661,plain,(
% 32.11/5.98 (c1 != c1) | (c3 = (g @ (s @ c3) @ c8)) | ~spl0_89),
% 32.11/5.98 inference(superposition,[status(thm)],[f28,f1468])).
% 32.11/5.98 thf(f1468,plain,(
% 32.11/5.98 (c1 = (g @ c3 @ c8)) | ~spl0_89),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1466])).
% 32.11/5.98 thf(f25625,plain,(
% 32.11/5.98 spl0_42 | ~spl0_21),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25624,f247,f424])).
% 32.11/5.98 thf(f247,definition,(
% 32.11/5.98 spl0_21 <=> (c2 = (g @ c8 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition])).
% 32.11/5.98 thf(f25624,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ c4)) | ~spl0_21),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f25623,f30])).
% 32.11/5.98 thf(f25623,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ (s @ c3))) | ~spl0_21),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f25616])).
% 32.11/5.98 thf(f25616,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ (s @ c3))) | (c2 != c2) | ~spl0_21),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f249])).
% 32.11/5.98 thf(f249,plain,(
% 32.11/5.98 (c2 = (g @ c8 @ c3)) | ~spl0_21),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f247])).
% 32.11/5.98 thf(f25577,plain,(
% 32.11/5.98 spl0_238 | spl0_152 | spl0_13 | spl0_22 | spl0_151 | ~spl0_196),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25576,f4014,f2677,f251,f210,f2681,f9225])).
% 32.11/5.98 thf(f4014,definition,(
% 32.11/5.98 spl0_196 <=> (c2 = (g @ (s @ (s @ c5)) @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_196])],[avatar_definition])).
% 32.11/5.98 thf(f25576,plain,(
% 32.11/5.98 (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_13 | spl0_22 | spl0_151 | ~spl0_196)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25575,f212])).
% 32.11/5.98 thf(f25575,plain,(
% 32.11/5.98 (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c2 = c4) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_22 | spl0_151 | ~spl0_196)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f25574,f4016])).
% 32.11/5.98 thf(f4016,plain,(
% 32.11/5.98 (c2 = (g @ (s @ (s @ c5)) @ c5)) | ~spl0_196),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f4014])).
% 32.11/5.98 thf(f25574,plain,(
% 32.11/5.98 (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c5)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_22 | spl0_151)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25573,f2678])).
% 32.11/5.98 thf(f25573,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c5)) | (c3 = (g @ (s @ (s @ c5)) @ c4)) | spl0_22),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f14809,f252])).
% 32.11/5.98 thf(f14809,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c5)) | (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ c8 @ c4))),
% 32.11/5.98 inference(superposition,[status(thm)],[f939,f11])).
% 32.11/5.98 thf(f25562,plain,(
% 32.11/5.98 spl0_9 | ~spl0_26 | ~spl0_153),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f25561])).
% 32.11/5.98 thf(f25561,plain,(
% 32.11/5.98 $false | (spl0_9 | ~spl0_26 | ~spl0_153)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25542,f154])).
% 32.11/5.98 thf(f25542,plain,(
% 32.11/5.98 (c1 = c2) | (~spl0_26 | ~spl0_153)),
% 32.11/5.98 inference(backward_demodulation,[status(thm)],[f24936,f2687])).
% 32.11/5.98 thf(f24936,plain,(
% 32.11/5.98 (c1 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_26),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f24927])).
% 32.11/5.98 thf(f24927,plain,(
% 32.11/5.98 (c1 = (g @ (s @ (s @ c5)) @ c3)) | (c3 != c3) | ~spl0_26),
% 32.11/5.98 inference(superposition,[status(thm)],[f83,f273])).
% 32.11/5.98 thf(f273,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c3)) | ~spl0_26),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f271])).
% 32.11/5.98 thf(f271,definition,(
% 32.11/5.98 spl0_26 <=> (c3 = (g @ c8 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_26])],[avatar_definition])).
% 32.11/5.98 thf(f25526,plain,(
% 32.11/5.98 spl0_153 | ~spl0_238),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25523,f9225,f2685])).
% 32.11/5.98 thf(f25523,plain,(
% 32.11/5.98 (c2 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_238),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f25511])).
% 32.11/5.98 thf(f25511,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_238),
% 32.11/5.98 inference(superposition,[status(thm)],[f64,f9227])).
% 32.11/5.98 thf(f9227,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c4)) | ~spl0_238),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f9225])).
% 32.11/5.98 thf(f64,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c4 != (g @ X0 @ c4)) | (c2 = (g @ X0 @ c3))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f10,f30])).
% 32.11/5.98 thf(f25468,plain,(
% 32.11/5.98 spl0_230 | spl0_232 | spl0_233 | spl0_24 | ~spl0_201 | spl0_231),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25467,f9082,f4351,f261,f9090,f9086,f9078])).
% 32.11/5.98 thf(f9078,definition,(
% 32.11/5.98 spl0_230 <=> (c3 = (g @ (s @ c5) @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_230])],[avatar_definition])).
% 32.11/5.98 thf(f9086,definition,(
% 32.11/5.98 spl0_232 <=> (c2 = (g @ (s @ c5) @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_232])],[avatar_definition])).
% 32.11/5.98 thf(f9090,definition,(
% 32.11/5.98 spl0_233 <=> (c4 = (g @ (s @ c5) @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_233])],[avatar_definition])).
% 32.11/5.98 thf(f4351,definition,(
% 32.11/5.98 spl0_201 <=> (c2 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_201])],[avatar_definition])).
% 32.11/5.98 thf(f9082,definition,(
% 32.11/5.98 spl0_231 <=> (c5 = (g @ (s @ c5) @ (s @ (s @ c5))))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_231])],[avatar_definition])).
% 32.11/5.98 thf(f25467,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (spl0_24 | ~spl0_201 | spl0_231)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25466,f9083])).
% 32.11/5.98 thf(f9083,plain,(
% 32.11/5.98 (c5 != (g @ (s @ c5) @ (s @ (s @ c5)))) | spl0_231),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f9082])).
% 32.11/5.98 thf(f25466,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c5 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (spl0_24 | ~spl0_201)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25420,f263])).
% 32.11/5.98 thf(f25420,plain,(
% 32.11/5.98 (c3 = c2) | (c5 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | ~spl0_201),
% 32.11/5.98 inference(superposition,[status(thm)],[f4353,f112])).
% 32.11/5.98 thf(f4353,plain,(
% 32.11/5.98 (c2 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | ~spl0_201),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f4351])).
% 32.11/5.98 thf(f25464,plain,(
% 32.11/5.98 spl0_283 | spl0_285 | spl0_13 | spl0_73 | ~spl0_201 | spl0_284),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25463,f13891,f4351,f1004,f210,f13895,f13887])).
% 32.11/5.98 thf(f13887,definition,(
% 32.11/5.98 spl0_283 <=> (c4 = (g @ (s @ (s @ c5)) @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_283])],[avatar_definition])).
% 32.11/5.98 thf(f13895,definition,(
% 32.11/5.98 spl0_285 <=> (c3 = (g @ (s @ (s @ c5)) @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_285])],[avatar_definition])).
% 32.11/5.98 thf(f13891,definition,(
% 32.11/5.98 spl0_284 <=> (c5 = (g @ (s @ (s @ c5)) @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_284])],[avatar_definition])).
% 32.11/5.98 thf(f25463,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (spl0_13 | spl0_73 | ~spl0_201 | spl0_284)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25462,f212])).
% 32.11/5.98 thf(f25462,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c2 = c4) | (spl0_73 | ~spl0_201 | spl0_284)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25461,f1005])).
% 32.11/5.98 thf(f1005,plain,(
% 32.11/5.98 (c3 != (g @ c8 @ (s @ c5))) | spl0_73),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1004])).
% 32.11/5.98 thf(f25461,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ c8 @ (s @ c5))) | (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c2 = c4) | (~spl0_201 | spl0_284)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25418,f13892])).
% 32.11/5.98 thf(f13892,plain,(
% 32.11/5.98 (c5 != (g @ (s @ (s @ c5)) @ (s @ c5))) | spl0_284),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f13891])).
% 32.11/5.98 thf(f25418,plain,(
% 32.11/5.98 (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ c8 @ (s @ c5))) | (c2 = c4) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | ~spl0_201),
% 32.11/5.98 inference(superposition,[status(thm)],[f4353,f939])).
% 32.11/5.98 thf(f25404,plain,(
% 32.11/5.98 spl0_214 | spl0_1 | ~spl0_26 | spl0_213 | spl0_215 | spl0_216),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25403,f7198,f7194,f7186,f271,f115,f7190])).
% 32.11/5.98 thf(f25403,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c3)) | (spl0_1 | ~spl0_26 | spl0_213 | spl0_215 | spl0_216)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25402,f7199])).
% 32.11/5.98 thf(f25402,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ c3)) | (spl0_1 | ~spl0_26 | spl0_213 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25401,f7195])).
% 32.11/5.98 thf(f25401,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c3)) | (c5 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (spl0_1 | ~spl0_26 | spl0_213)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25400,f117])).
% 32.11/5.98 thf(f25400,plain,(
% 32.11/5.98 (c1 = c3) | (c5 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ c3)) | (~spl0_26 | spl0_213)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25386,f7187])).
% 32.11/5.98 thf(f25386,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c3)) | (c1 = c3) | (c2 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (c5 = (g @ (s @ c5) @ c3)) | ~spl0_26),
% 32.11/5.98 inference(superposition,[status(thm)],[f112,f24936])).
% 32.11/5.98 thf(f25399,plain,(
% 32.11/5.98 spl0_214 | spl0_1 | ~spl0_26 | spl0_213 | spl0_215 | spl0_216),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25398,f7198,f7194,f7186,f271,f115,f7190])).
% 32.11/5.98 thf(f25398,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ c3)) | (spl0_1 | ~spl0_26 | spl0_213 | spl0_215 | spl0_216)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25397,f117])).
% 32.11/5.98 thf(f25397,plain,(
% 32.11/5.98 (c1 = c3) | (c2 = (g @ (s @ c5) @ c3)) | (~spl0_26 | spl0_213 | spl0_215 | spl0_216)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25396,f7187])).
% 32.11/5.98 thf(f25396,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c3)) | (c1 = c3) | (c2 = (g @ (s @ c5) @ c3)) | (~spl0_26 | spl0_215 | spl0_216)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25395,f7199])).
% 32.11/5.98 thf(f25395,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ c3)) | (c1 = c3) | (c3 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ c3)) | (~spl0_26 | spl0_215)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f25377,f7195])).
% 32.11/5.98 thf(f25377,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ c3)) | (c1 = c3) | (c3 = (g @ (s @ c5) @ c3)) | ~spl0_26),
% 32.11/5.98 inference(superposition,[status(thm)],[f24936,f112])).
% 32.11/5.98 thf(f25190,plain,(
% 32.11/5.98 spl0_201 | ~spl0_67),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25179,f947,f4351])).
% 32.11/5.98 thf(f25179,plain,(
% 32.11/5.98 (c2 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | ~spl0_67),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f25166])).
% 32.11/5.98 thf(f25166,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | ~spl0_67),
% 32.11/5.98 inference(superposition,[status(thm)],[f84,f949])).
% 32.11/5.98 thf(f949,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ c8)) | ~spl0_67),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f947])).
% 32.11/5.98 thf(f25105,plain,(
% 32.11/5.98 spl0_192 | ~spl0_148),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f25104,f2644,f3793])).
% 32.11/5.98 thf(f3793,definition,(
% 32.11/5.98 spl0_192 <=> (c1 = (g @ c3 @ c1))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_192])],[avatar_definition])).
% 32.11/5.98 thf(f25104,plain,(
% 32.11/5.98 (c1 = (g @ c3 @ c1)) | ~spl0_148),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f25095])).
% 32.11/5.98 thf(f25095,plain,(
% 32.11/5.98 (c1 = (g @ c3 @ c1)) | (c3 != c3) | ~spl0_148),
% 32.11/5.98 inference(superposition,[status(thm)],[f71,f2646])).
% 32.11/5.98 thf(f2646,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c1)) | ~spl0_148),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2644])).
% 32.11/5.98 thf(f71,plain,(
% 32.11/5.98 ( ! [X0 : $i] : ((c3 != (g @ c4 @ X0)) | (c1 = (g @ c3 @ X0))) )),
% 32.11/5.98 inference(superposition,[status(thm)],[f29,f30])).
% 32.11/5.98 thf(f24965,plain,(
% 32.11/5.98 ~spl0_22 | spl0_24 | ~spl0_48),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f24964])).
% 32.11/5.98 thf(f24964,plain,(
% 32.11/5.98 $false | (~spl0_22 | spl0_24 | ~spl0_48)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f24963,f263])).
% 32.11/5.98 thf(f24963,plain,(
% 32.11/5.98 (c3 = c2) | (~spl0_22 | ~spl0_48)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f24962,f253])).
% 32.11/5.98 thf(f253,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c4)) | ~spl0_22),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f251])).
% 32.11/5.98 thf(f24962,plain,(
% 32.11/5.98 (c2 = (g @ c8 @ c4)) | ~spl0_48),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f24951])).
% 32.11/5.98 thf(f24951,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ c8 @ c4)) | ~spl0_48),
% 32.11/5.98 inference(superposition,[status(thm)],[f63,f457])).
% 32.11/5.98 thf(f457,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ c5)) | ~spl0_48),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f455])).
% 32.11/5.98 thf(f455,definition,(
% 32.11/5.98 spl0_48 <=> (c4 = (g @ c8 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_48])],[avatar_definition])).
% 32.11/5.98 thf(f24904,plain,(
% 32.11/5.98 spl0_26 | spl0_21 | spl0_28 | spl0_43),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f24903,f428,f279,f247,f271])).
% 32.11/5.98 thf(f279,definition,(
% 32.11/5.98 spl0_28 <=> (c5 = (g @ c8 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_28])],[avatar_definition])).
% 32.11/5.98 thf(f428,definition,(
% 32.11/5.98 spl0_43 <=> (c4 = (g @ c8 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_43])],[avatar_definition])).
% 32.11/5.98 thf(f24903,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c3)) | (spl0_21 | spl0_28 | spl0_43)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f24902,f429])).
% 32.11/5.98 thf(f429,plain,(
% 32.11/5.98 (c4 != (g @ c8 @ c3)) | spl0_43),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f428])).
% 32.11/5.98 thf(f24902,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c3)) | (c4 = (g @ c8 @ c3)) | (spl0_21 | spl0_28)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f24901,f280])).
% 32.11/5.98 thf(f280,plain,(
% 32.11/5.98 (c5 != (g @ c8 @ c3)) | spl0_28),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f279])).
% 32.11/5.98 thf(f24901,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c3)) | (c5 = (g @ c8 @ c3)) | (c4 = (g @ c8 @ c3)) | spl0_21),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f24899])).
% 32.11/5.98 thf(f24899,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ c3)) | (c2 != c2) | (c3 = (g @ c8 @ c3)) | (c5 = (g @ c8 @ c3)) | spl0_21),
% 32.11/5.98 inference(superposition,[status(thm)],[f248,f113])).
% 32.11/5.98 thf(f248,plain,(
% 32.11/5.98 (c2 != (g @ c8 @ c3)) | spl0_21),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f247])).
% 32.11/5.98 thf(f24866,plain,(
% 32.11/5.98 spl0_277 | spl0_245 | spl0_3 | ~spl0_88 | spl0_275 | spl0_276),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f24865,f12174,f12170,f1461,f123,f10343,f12178])).
% 32.11/5.98 thf(f24865,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ (s @ (s @ c5)))) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (spl0_3 | ~spl0_88 | spl0_275 | spl0_276)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f24864,f125])).
% 32.11/5.98 thf(f24864,plain,(
% 32.11/5.98 (c3 = (g @ c5 @ (s @ (s @ c5)))) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | (c1 = c4) | (~spl0_88 | spl0_275 | spl0_276)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f24863,f1463])).
% 32.11/5.98 thf(f24863,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ c8)) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (spl0_275 | spl0_276)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f20417,f12175])).
% 32.11/5.98 thf(f12175,plain,(
% 32.11/5.98 (c4 != (g @ c4 @ (s @ (s @ c5)))) | spl0_276),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f12174])).
% 32.11/5.98 thf(f20417,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ (s @ (s @ c5)))) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ c8)) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | spl0_275),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f14313,f12171])).
% 32.11/5.98 thf(f14313,plain,(
% 32.11/5.98 (c5 = (g @ c4 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ c8)) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ (s @ (s @ c5)))) | (c3 = (g @ c4 @ (s @ (s @ c5))))),
% 32.11/5.98 inference(superposition,[status(thm)],[f599,f79])).
% 32.11/5.98 thf(f24842,plain,(
% 32.11/5.98 spl0_9 | ~spl0_185 | ~spl0_277),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f24841])).
% 32.11/5.98 thf(f24841,plain,(
% 32.11/5.98 $false | (spl0_9 | ~spl0_185 | ~spl0_277)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f24840,f154])).
% 32.11/5.98 thf(f24840,plain,(
% 32.11/5.98 (c1 = c2) | (~spl0_185 | ~spl0_277)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f24839,f2988])).
% 32.11/5.98 thf(f24839,plain,(
% 32.11/5.98 (c1 = (g @ c3 @ (s @ (s @ c5)))) | ~spl0_277),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f24830])).
% 32.11/5.98 thf(f24830,plain,(
% 32.11/5.98 (c1 = (g @ c3 @ (s @ (s @ c5)))) | (c3 != c3) | ~spl0_277),
% 32.11/5.98 inference(superposition,[status(thm)],[f71,f12180])).
% 32.11/5.98 thf(f12180,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ (s @ (s @ c5)))) | ~spl0_277),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f12178])).
% 32.11/5.98 thf(f24588,plain,(
% 32.11/5.98 spl0_235 | ~spl0_227),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f24587,f7493,f9144])).
% 32.11/5.98 thf(f9144,definition,(
% 32.11/5.98 spl0_235 <=> (c4 = (g @ c5 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_235])],[avatar_definition])).
% 32.11/5.98 thf(f7493,definition,(
% 32.11/5.98 spl0_227 <=> (c2 = (g @ c5 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_227])],[avatar_definition])).
% 32.11/5.98 thf(f24587,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ c5)) | ~spl0_227),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f24586,f11])).
% 32.11/5.98 thf(f24586,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ (s @ c4))) | ~spl0_227),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f24579])).
% 32.11/5.98 thf(f24579,plain,(
% 32.11/5.98 (c2 != c2) | (c4 = (g @ c5 @ (s @ c4))) | ~spl0_227),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f7495])).
% 32.11/5.98 thf(f7495,plain,(
% 32.11/5.98 (c2 = (g @ c5 @ c4)) | ~spl0_227),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f7493])).
% 32.11/5.98 thf(f24227,plain,(
% 32.11/5.98 spl0_144 | ~spl0_97),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f24226,f1844,f2620])).
% 32.11/5.98 thf(f2620,definition,(
% 32.11/5.98 spl0_144 <=> (c2 = (g @ c2 @ c4))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_144])],[avatar_definition])).
% 32.11/5.98 thf(f1844,definition,(
% 32.11/5.98 spl0_97 <=> (c4 = (g @ c2 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_97])],[avatar_definition])).
% 32.11/5.98 thf(f24226,plain,(
% 32.11/5.98 (c2 = (g @ c2 @ c4)) | ~spl0_97),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f24216])).
% 32.11/5.98 thf(f24216,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ c2 @ c4)) | ~spl0_97),
% 32.11/5.98 inference(superposition,[status(thm)],[f63,f1846])).
% 32.11/5.98 thf(f1846,plain,(
% 32.11/5.98 (c4 = (g @ c2 @ c5)) | ~spl0_97),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f1844])).
% 32.11/5.98 thf(f24081,plain,(
% 32.11/5.98 spl0_13 | ~spl0_42 | ~spl0_48),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f24080])).
% 32.11/5.98 thf(f24080,plain,(
% 32.11/5.98 $false | (spl0_13 | ~spl0_42 | ~spl0_48)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f24079,f212])).
% 32.11/5.98 thf(f24079,plain,(
% 32.11/5.98 (c2 = c4) | (~spl0_42 | ~spl0_48)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f24078,f426])).
% 32.11/5.98 thf(f24078,plain,(
% 32.11/5.98 (c2 = (g @ c8 @ c4)) | ~spl0_48),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f24067])).
% 32.11/5.98 thf(f24067,plain,(
% 32.11/5.98 (c2 = (g @ c8 @ c4)) | (c4 != c4) | ~spl0_48),
% 32.11/5.98 inference(superposition,[status(thm)],[f63,f457])).
% 32.11/5.98 thf(f24058,plain,(
% 32.11/5.98 spl0_15 | spl0_48 | spl0_12 | spl0_13 | ~spl0_46),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f24057,f445,f210,f206,f455,f218])).
% 32.11/5.98 thf(f206,definition,(
% 32.11/5.98 spl0_12 <=> (c5 = (g @ c8 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 32.11/5.98 thf(f24057,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c5)) | (c4 = (g @ c8 @ c5)) | (spl0_12 | spl0_13 | ~spl0_46)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f24056,f207])).
% 32.11/5.98 thf(f207,plain,(
% 32.11/5.98 (c5 != (g @ c8 @ c5)) | spl0_12),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f206])).
% 32.11/5.98 thf(f24056,plain,(
% 32.11/5.98 (c5 = (g @ c8 @ c5)) | (c4 = (g @ c8 @ c5)) | (c3 = (g @ c8 @ c5)) | (spl0_13 | ~spl0_46)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f13791,f212])).
% 32.11/5.98 thf(f13791,plain,(
% 32.11/5.98 (c2 = c4) | (c3 = (g @ c8 @ c5)) | (c5 = (g @ c8 @ c5)) | (c4 = (g @ c8 @ c5)) | ~spl0_46),
% 32.11/5.98 inference(superposition,[status(thm)],[f203,f13779])).
% 32.11/5.98 thf(f13779,plain,(
% 32.11/5.98 (c2 = (g @ c8 @ (s @ c5))) | ~spl0_46),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f13768])).
% 32.11/5.98 thf(f13768,plain,(
% 32.11/5.98 (c2 = (g @ c8 @ (s @ c5))) | (c4 != c4) | ~spl0_46),
% 32.11/5.98 inference(superposition,[status(thm)],[f10,f447])).
% 32.11/5.98 thf(f447,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ (s @ (s @ c5)))) | ~spl0_46),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f445])).
% 32.11/5.98 thf(f24055,plain,(
% 32.11/5.98 spl0_48 | spl0_15 | spl0_12 | spl0_71),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f24054,f996,f206,f218,f455])).
% 32.11/5.98 thf(f24054,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ c5)) | (c4 = (g @ c8 @ c5)) | (spl0_12 | spl0_71)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f14372,f207])).
% 32.11/5.98 thf(f14372,plain,(
% 32.11/5.98 (c4 = (g @ c8 @ c5)) | (c5 = (g @ c8 @ c5)) | (c3 = (g @ c8 @ c5)) | spl0_71),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f14369])).
% 32.11/5.98 thf(f14369,plain,(
% 32.11/5.98 (c4 != c4) | (c3 = (g @ c8 @ c5)) | (c5 = (g @ c8 @ c5)) | (c4 = (g @ c8 @ c5)) | spl0_71),
% 32.11/5.98 inference(superposition,[status(thm)],[f997,f203])).
% 32.11/5.98 thf(f997,plain,(
% 32.11/5.98 (c4 != (g @ c8 @ (s @ c5))) | spl0_71),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f996])).
% 32.11/5.98 thf(f24026,plain,(
% 32.11/5.98 spl0_285 | spl0_283 | spl0_73 | spl0_282 | spl0_284),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f24025,f13891,f13741,f1004,f13887,f13895])).
% 32.11/5.98 thf(f24025,plain,(
% 32.11/5.98 (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (spl0_73 | spl0_282 | spl0_284)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f24024,f13892])).
% 32.11/5.98 thf(f24024,plain,(
% 32.11/5.98 (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (spl0_73 | spl0_282)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f22771,f1005])).
% 32.11/5.98 thf(f22771,plain,(
% 32.11/5.98 (c3 = (g @ c8 @ (s @ c5))) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | spl0_282),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f22766])).
% 32.11/5.98 thf(f22766,plain,(
% 32.11/5.98 (c4 != c4) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ c8 @ (s @ c5))) | spl0_282),
% 32.11/5.98 inference(superposition,[status(thm)],[f13742,f939])).
% 32.11/5.98 thf(f13742,plain,(
% 32.11/5.98 (c4 != (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | spl0_282),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f13741])).
% 32.11/5.98 thf(f24001,plain,(
% 32.11/5.98 spl0_9 | ~spl0_121 | ~spl0_156),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f24000])).
% 32.11/5.98 thf(f24000,plain,(
% 32.11/5.98 $false | (spl0_9 | ~spl0_121 | ~spl0_156)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f23999,f154])).
% 32.11/5.98 thf(f23999,plain,(
% 32.11/5.98 (c1 = c2) | (~spl0_121 | ~spl0_156)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f23998,f2472])).
% 32.11/5.98 thf(f2472,plain,(
% 32.11/5.98 (c2 = (g @ c3 @ c3)) | ~spl0_121),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2470])).
% 32.11/5.98 thf(f2470,definition,(
% 32.11/5.98 spl0_121 <=> (c2 = (g @ c3 @ c3))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_121])],[avatar_definition])).
% 32.11/5.98 thf(f23998,plain,(
% 32.11/5.98 (c1 = (g @ c3 @ c3)) | ~spl0_156),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f23989])).
% 32.11/5.98 thf(f23989,plain,(
% 32.11/5.98 (c1 = (g @ c3 @ c3)) | (c3 != c3) | ~spl0_156),
% 32.11/5.98 inference(superposition,[status(thm)],[f71,f2704])).
% 32.11/5.98 thf(f2704,plain,(
% 32.11/5.98 (c3 = (g @ c4 @ c3)) | ~spl0_156),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2702])).
% 32.11/5.98 thf(f23947,plain,(
% 32.11/5.98 spl0_13 | ~spl0_101 | ~spl0_289),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f23946])).
% 32.11/5.98 thf(f23946,plain,(
% 32.11/5.98 $false | (spl0_13 | ~spl0_101 | ~spl0_289)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f23945,f212])).
% 32.11/5.98 thf(f23945,plain,(
% 32.11/5.98 (c2 = c4) | (~spl0_101 | ~spl0_289)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f23536,f1863])).
% 32.11/5.98 thf(f23536,plain,(
% 32.11/5.98 (c2 = (g @ c4 @ c5)) | ~spl0_289),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f23526])).
% 32.11/5.98 thf(f23526,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ c4 @ c5)) | ~spl0_289),
% 32.11/5.98 inference(superposition,[status(thm)],[f10,f14294])).
% 32.11/5.98 thf(f23830,plain,(
% 32.11/5.98 spl0_230 | spl0_233 | spl0_232 | spl0_231 | spl0_296),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f23829,f18439,f9082,f9086,f9090,f9078])).
% 32.11/5.98 thf(f23829,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (spl0_231 | spl0_296)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f23655,f9083])).
% 32.11/5.98 thf(f23655,plain,(
% 32.11/5.98 (c5 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | spl0_296),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f23652])).
% 32.11/5.98 thf(f23652,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 != c3) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c5 = (g @ (s @ c5) @ (s @ (s @ c5)))) | spl0_296),
% 32.11/5.98 inference(superposition,[status(thm)],[f18440,f112])).
% 32.11/5.98 thf(f18440,plain,(
% 32.11/5.98 (c3 != (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | spl0_296),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f18439])).
% 32.11/5.98 thf(f23814,plain,(
% 32.11/5.98 spl0_9 | ~spl0_109 | ~spl0_234),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f23813])).
% 32.11/5.98 thf(f23813,plain,(
% 32.11/5.98 $false | (spl0_9 | ~spl0_109 | ~spl0_234)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f23799,f154])).
% 32.11/5.98 thf(f23799,plain,(
% 32.11/5.98 (c1 = c2) | (~spl0_109 | ~spl0_234)),
% 32.11/5.98 inference(backward_demodulation,[status(thm)],[f23755,f9142])).
% 32.11/5.98 thf(f9142,plain,(
% 32.11/5.98 (c2 = (g @ c5 @ c5)) | ~spl0_234),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f9140])).
% 32.11/5.98 thf(f9140,definition,(
% 32.11/5.98 spl0_234 <=> (c2 = (g @ c5 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_234])],[avatar_definition])).
% 32.11/5.98 thf(f23755,plain,(
% 32.11/5.98 (c1 = (g @ c5 @ c5)) | ~spl0_109),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f23747])).
% 32.11/5.98 thf(f23747,plain,(
% 32.11/5.98 (c3 != c3) | (c1 = (g @ c5 @ c5)) | ~spl0_109),
% 32.11/5.98 inference(superposition,[status(thm)],[f29,f2410])).
% 32.11/5.98 thf(f2410,plain,(
% 32.11/5.98 (c3 = (g @ (s @ c5) @ c5)) | ~spl0_109),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f2408])).
% 32.11/5.98 thf(f23798,plain,(
% 32.11/5.98 spl0_234 | ~spl0_242),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f23795,f10289,f9140])).
% 32.11/5.98 thf(f10289,definition,(
% 32.11/5.98 spl0_242 <=> (c4 = (g @ c5 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_242])],[avatar_definition])).
% 32.11/5.98 thf(f23795,plain,(
% 32.11/5.98 (c2 = (g @ c5 @ c5)) | ~spl0_242),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f23786])).
% 32.11/5.98 thf(f23786,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ c5 @ c5)) | ~spl0_242),
% 32.11/5.98 inference(superposition,[status(thm)],[f10,f10291])).
% 32.11/5.98 thf(f10291,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ (s @ c5))) | ~spl0_242),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f10289])).
% 32.11/5.98 thf(f23709,plain,(
% 32.11/5.98 spl0_3 | ~spl0_241 | ~spl0_289),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f23708])).
% 32.11/5.98 thf(f23708,plain,(
% 32.11/5.98 $false | (spl0_3 | ~spl0_241 | ~spl0_289)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f23707,f125])).
% 32.11/5.98 thf(f23707,plain,(
% 32.11/5.98 (c1 = c4) | (~spl0_241 | ~spl0_289)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f23706,f14294])).
% 32.11/5.98 thf(f23706,plain,(
% 32.11/5.98 (c1 = (g @ c4 @ (s @ c5))) | ~spl0_241),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f23698])).
% 32.11/5.98 thf(f23698,plain,(
% 32.11/5.98 (c1 = (g @ c4 @ (s @ c5))) | (c3 != c3) | ~spl0_241),
% 32.11/5.98 inference(superposition,[status(thm)],[f70,f10287])).
% 32.11/5.98 thf(f10287,plain,(
% 32.11/5.98 (c3 = (g @ c5 @ (s @ c5))) | ~spl0_241),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f10285])).
% 32.11/5.98 thf(f10285,definition,(
% 32.11/5.98 spl0_241 <=> (c3 = (g @ c5 @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_241])],[avatar_definition])).
% 32.11/5.98 thf(f23692,plain,(
% 32.11/5.98 spl0_31 | ~spl0_245 | ~spl0_247),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f23691])).
% 32.11/5.98 thf(f23691,plain,(
% 32.11/5.98 $false | (spl0_31 | ~spl0_245 | ~spl0_247)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f23679,f321])).
% 32.11/5.98 thf(f23679,plain,(
% 32.11/5.98 (c3 = c4) | (~spl0_245 | ~spl0_247)),
% 32.11/5.98 inference(backward_demodulation,[status(thm)],[f10345,f10353])).
% 32.11/5.98 thf(f10353,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ (s @ (s @ c5)))) | ~spl0_247),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f10351])).
% 32.11/5.98 thf(f10345,plain,(
% 32.11/5.98 (c3 = (g @ c5 @ (s @ (s @ c5)))) | ~spl0_245),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f10343])).
% 32.11/5.98 thf(f23642,plain,(
% 32.11/5.98 spl0_13 | ~spl0_235 | ~spl0_242),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f23641])).
% 32.11/5.98 thf(f23641,plain,(
% 32.11/5.98 $false | (spl0_13 | ~spl0_235 | ~spl0_242)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f23640,f212])).
% 32.11/5.98 thf(f23640,plain,(
% 32.11/5.98 (c2 = c4) | (~spl0_235 | ~spl0_242)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f23639,f9146])).
% 32.11/5.98 thf(f9146,plain,(
% 32.11/5.98 (c4 = (g @ c5 @ c5)) | ~spl0_235),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f9144])).
% 32.11/5.98 thf(f23639,plain,(
% 32.11/5.98 (c2 = (g @ c5 @ c5)) | ~spl0_242),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f23630])).
% 32.11/5.98 thf(f23630,plain,(
% 32.11/5.98 (c2 = (g @ c5 @ c5)) | (c4 != c4) | ~spl0_242),
% 32.11/5.98 inference(superposition,[status(thm)],[f10,f10291])).
% 32.11/5.98 thf(f23553,plain,(
% 32.11/5.98 spl0_300 | ~spl0_233),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f23552,f9090,f18662])).
% 32.11/5.98 thf(f18662,definition,(
% 32.11/5.98 spl0_300 <=> (c2 = (g @ (s @ c5) @ (s @ c5)))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_300])],[avatar_definition])).
% 32.11/5.98 thf(f23552,plain,(
% 32.11/5.98 (c2 = (g @ (s @ c5) @ (s @ c5))) | ~spl0_233),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f23542])).
% 32.11/5.98 thf(f23542,plain,(
% 32.11/5.98 (c4 != c4) | (c2 = (g @ (s @ c5) @ (s @ c5))) | ~spl0_233),
% 32.11/5.98 inference(superposition,[status(thm)],[f10,f9092])).
% 32.11/5.98 thf(f9092,plain,(
% 32.11/5.98 (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | ~spl0_233),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f9090])).
% 32.11/5.98 thf(f23361,plain,(
% 32.11/5.98 spl0_289 | ~spl0_210),
% 32.11/5.98 inference(avatar_split_clause,[status(thm)],[f23360,f5374,f14292])).
% 32.11/5.98 thf(f23360,plain,(
% 32.11/5.98 (c4 = (g @ c4 @ (s @ c5))) | ~spl0_210),
% 32.11/5.98 inference(trivial_inequality_removal,[status(thm)],[f23353])).
% 32.11/5.98 thf(f23353,plain,(
% 32.11/5.98 (c2 != c2) | (c4 = (g @ c4 @ (s @ c5))) | ~spl0_210),
% 32.11/5.98 inference(superposition,[status(thm)],[f9,f5376])).
% 32.11/5.98 thf(f23253,plain,(
% 32.11/5.98 spl0_24 | ~spl0_90 | ~spl0_202),
% 32.11/5.98 inference(avatar_contradiction_clause,[status(thm)],[f23252])).
% 32.11/5.98 thf(f23252,plain,(
% 32.11/5.98 $false | (spl0_24 | ~spl0_90 | ~spl0_202)),
% 32.11/5.98 inference(subsumption_resolution,[status(thm)],[f23251,f263])).
% 32.11/5.98 thf(f23251,plain,(
% 32.11/5.98 (c3 = c2) | (~spl0_90 | ~spl0_202)),
% 32.11/5.98 inference(forward_demodulation,[status(thm)],[f4377,f1816])).
% 32.11/5.98 thf(f4377,plain,(
% 32.11/5.98 (c2 = (g @ c3 @ c5)) | ~spl0_202),
% 32.11/5.98 inference(avatar_component_clause,[status(thm)],[f4375])).
% 32.11/5.98 thf(f4375,definition,(
% 32.11/5.98 spl0_202 <=> (c2 = (g @ c3 @ c5))),
% 32.11/5.98 introduced(definition,[new_symbols(naming,[spl0_202])],[avatar_definition])).
% 32.11/5.99 thf(f23250,plain,(
% 32.11/5.99 spl0_3 | ~spl0_122 | ~spl0_263),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f23249])).
% 32.11/5.99 thf(f23249,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_122 | ~spl0_263)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f23248,f125])).
% 32.11/5.99 thf(f23248,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_122 | ~spl0_263)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f23026,f11047])).
% 32.11/5.99 thf(f23026,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c4)) | ~spl0_122),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f23017])).
% 32.11/5.99 thf(f23017,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c2 @ c4)) | ~spl0_122),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f2476])).
% 32.11/5.99 thf(f2476,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c4)) | ~spl0_122),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2474])).
% 32.11/5.99 thf(f72,plain,(
% 32.11/5.99 ( ! [X0 : $i] : ((c3 != (g @ c3 @ X0)) | (c1 = (g @ c2 @ X0))) )),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f13])).
% 32.11/5.99 thf(f22933,plain,(
% 32.11/5.99 spl0_96 | spl0_97 | spl0_90 | spl0_13 | spl0_98 | ~spl0_274),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f22932,f12109,f1848,f210,f1814,f1844,f1839])).
% 32.11/5.99 thf(f1839,definition,(
% 32.11/5.99 spl0_96 <=> (c3 = (g @ c2 @ c5))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_96])],[avatar_definition])).
% 32.11/5.99 thf(f1848,definition,(
% 32.11/5.99 spl0_98 <=> (c5 = (g @ c2 @ c5))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_98])],[avatar_definition])).
% 32.11/5.99 thf(f22932,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c5)) | (c3 = (g @ c3 @ c5)) | (c3 = (g @ c2 @ c5)) | (spl0_13 | spl0_98 | ~spl0_274)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22931,f1849])).
% 32.11/5.99 thf(f1849,plain,(
% 32.11/5.99 (c5 != (g @ c2 @ c5)) | spl0_98),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1848])).
% 32.11/5.99 thf(f22931,plain,(
% 32.11/5.99 (c5 = (g @ c2 @ c5)) | (c4 = (g @ c2 @ c5)) | (c3 = (g @ c3 @ c5)) | (c3 = (g @ c2 @ c5)) | (spl0_13 | ~spl0_274)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22704,f212])).
% 32.11/5.99 thf(f22704,plain,(
% 32.11/5.99 (c2 = c4) | (c5 = (g @ c2 @ c5)) | (c3 = (g @ c3 @ c5)) | (c3 = (g @ c2 @ c5)) | (c4 = (g @ c2 @ c5)) | ~spl0_274),
% 32.11/5.99 inference(superposition,[status(thm)],[f22685,f701])).
% 32.11/5.99 thf(f22685,plain,(
% 32.11/5.99 (c2 = (g @ c2 @ (s @ c5))) | ~spl0_274),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f22675])).
% 32.11/5.99 thf(f22675,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c2 @ (s @ c5))) | ~spl0_274),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f12111])).
% 32.11/5.99 thf(f12111,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ (s @ (s @ c5)))) | ~spl0_274),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f12109])).
% 32.11/5.99 thf(f22925,plain,(
% 32.11/5.99 spl0_97 | spl0_90 | spl0_96 | spl0_98 | spl0_288),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f22924,f14280,f1848,f1839,f1814,f1844])).
% 32.11/5.99 thf(f14280,definition,(
% 32.11/5.99 spl0_288 <=> (c4 = (g @ c2 @ (s @ c5)))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_288])],[avatar_definition])).
% 32.11/5.99 thf(f22924,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c5)) | (c4 = (g @ c2 @ c5)) | (c3 = (g @ c2 @ c5)) | (spl0_98 | spl0_288)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f21658,f1849])).
% 32.11/5.99 thf(f21658,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c5)) | (c3 = (g @ c3 @ c5)) | (c3 = (g @ c2 @ c5)) | (c5 = (g @ c2 @ c5)) | spl0_288),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f21655])).
% 32.11/5.99 thf(f21655,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c5)) | (c4 != c4) | (c3 = (g @ c2 @ c5)) | (c5 = (g @ c2 @ c5)) | (c4 = (g @ c2 @ c5)) | spl0_288),
% 32.11/5.99 inference(superposition,[status(thm)],[f14281,f701])).
% 32.11/5.99 thf(f14281,plain,(
% 32.11/5.99 (c4 != (g @ c2 @ (s @ c5))) | spl0_288),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f14280])).
% 32.11/5.99 thf(f22921,plain,(
% 32.11/5.99 spl0_9 | ~spl0_146 | ~spl0_148),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f22920])).
% 32.11/5.99 thf(f22920,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_146 | ~spl0_148)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22919,f154])).
% 32.11/5.99 thf(f22919,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_146 | ~spl0_148)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f22918,f2634])).
% 32.11/5.99 thf(f2634,plain,(
% 32.11/5.99 (c2 = (g @ c3 @ c1)) | ~spl0_146),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2632])).
% 32.11/5.99 thf(f2632,definition,(
% 32.11/5.99 spl0_146 <=> (c2 = (g @ c3 @ c1))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_146])],[avatar_definition])).
% 32.11/5.99 thf(f22918,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ c1)) | ~spl0_148),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f22909])).
% 32.11/5.99 thf(f22909,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ c1)) | (c3 != c3) | ~spl0_148),
% 32.11/5.99 inference(superposition,[status(thm)],[f71,f2646])).
% 32.11/5.99 thf(f22843,plain,(
% 32.11/5.99 spl0_137 | spl0_204 | spl0_211 | spl0_123 | spl0_145),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f22064,f2628,f2480,f5437,f4742,f2565])).
% 32.11/5.99 thf(f22064,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ c3)) | (c3 = (g @ c4 @ c2)) | (c4 = (g @ c3 @ c2)) | (spl0_123 | spl0_145)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22063,f2481])).
% 32.11/5.99 thf(f22063,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c2)) | (c3 = (g @ c4 @ c2)) | (c4 = (g @ c3 @ c2)) | (c4 = (g @ c3 @ c3)) | spl0_145),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12929,f2629])).
% 32.11/5.99 thf(f22838,plain,(
% 32.11/5.99 spl0_3 | ~spl0_156 | ~spl0_211),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f22837])).
% 32.11/5.99 thf(f22837,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_156 | ~spl0_211)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22836,f125])).
% 32.11/5.99 thf(f22836,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_156 | ~spl0_211)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f22835,f5439])).
% 32.11/5.99 thf(f5439,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ c3)) | ~spl0_211),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f5437])).
% 32.11/5.99 thf(f22835,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ c3)) | ~spl0_156),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f22826])).
% 32.11/5.99 thf(f22826,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c3 @ c3)) | ~spl0_156),
% 32.11/5.99 inference(superposition,[status(thm)],[f71,f2704])).
% 32.11/5.99 thf(f22774,plain,(
% 32.11/5.99 spl0_9 | ~spl0_274 | ~spl0_286),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f22773])).
% 32.11/5.99 thf(f22773,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_274 | ~spl0_286)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22772,f154])).
% 32.11/5.99 thf(f22772,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_274 | ~spl0_286)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f22653,f22685])).
% 32.11/5.99 thf(f22653,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ (s @ c5))) | ~spl0_286),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f22644])).
% 32.11/5.99 thf(f22644,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ (s @ c5))) | (c3 != c3) | ~spl0_286),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f14274])).
% 32.11/5.99 thf(f14274,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ (s @ c5))) | ~spl0_286),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f14272])).
% 32.11/5.99 thf(f22688,plain,(
% 32.11/5.99 spl0_31 | ~spl0_289 | ~spl0_291),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f22687])).
% 32.11/5.99 thf(f22687,plain,(
% 32.11/5.99 $false | (spl0_31 | ~spl0_289 | ~spl0_291)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22686,f321])).
% 32.11/5.99 thf(f22686,plain,(
% 32.11/5.99 (c3 = c4) | (~spl0_289 | ~spl0_291)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f14302,f14294])).
% 32.11/5.99 thf(f22528,plain,(
% 32.11/5.99 spl0_31 | ~spl0_99 | ~spl0_235),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f22527])).
% 32.11/5.99 thf(f22527,plain,(
% 32.11/5.99 $false | (spl0_31 | ~spl0_99 | ~spl0_235)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22515,f321])).
% 32.11/5.99 thf(f22515,plain,(
% 32.11/5.99 (c3 = c4) | (~spl0_99 | ~spl0_235)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f1855,f9146])).
% 32.11/5.99 thf(f22145,plain,(
% 32.11/5.99 spl0_13 | ~spl0_121 | ~spl0_211),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f22144])).
% 32.11/5.99 thf(f22144,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_121 | ~spl0_211)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22143,f212])).
% 32.11/5.99 thf(f22143,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_121 | ~spl0_211)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f2472,f5439])).
% 32.11/5.99 thf(f22142,plain,(
% 32.11/5.99 spl0_242 | spl0_241 | spl0_24 | spl0_243 | spl0_244 | ~spl0_300),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f22141,f18662,f10297,f10293,f261,f10285,f10289])).
% 32.11/5.99 thf(f10293,definition,(
% 32.11/5.99 spl0_243 <=> (c5 = (g @ c5 @ (s @ c5)))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_243])],[avatar_definition])).
% 32.11/5.99 thf(f22141,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ (s @ c5))) | (c4 = (g @ c5 @ (s @ c5))) | (spl0_24 | spl0_243 | spl0_244 | ~spl0_300)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22140,f10294])).
% 32.11/5.99 thf(f10294,plain,(
% 32.11/5.99 (c5 != (g @ c5 @ (s @ c5))) | spl0_243),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f10293])).
% 32.11/5.99 thf(f22140,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ (s @ c5))) | (c3 = (g @ c5 @ (s @ c5))) | (c5 = (g @ c5 @ (s @ c5))) | (spl0_24 | spl0_244 | ~spl0_300)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19779,f263])).
% 32.11/5.99 thf(f19779,plain,(
% 32.11/5.99 (c3 = c2) | (c4 = (g @ c5 @ (s @ c5))) | (c5 = (g @ c5 @ (s @ c5))) | (c3 = (g @ c5 @ (s @ c5))) | (spl0_244 | ~spl0_300)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19770,f10298])).
% 32.11/5.99 thf(f10298,plain,(
% 32.11/5.99 (c2 != (g @ c5 @ (s @ c5))) | spl0_244),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f10297])).
% 32.11/5.99 thf(f19770,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ (s @ c5))) | (c3 = (g @ c5 @ (s @ c5))) | (c5 = (g @ c5 @ (s @ c5))) | (c4 = (g @ c5 @ (s @ c5))) | (c3 = c2) | ~spl0_300),
% 32.11/5.99 inference(superposition,[status(thm)],[f112,f18664])).
% 32.11/5.99 thf(f18664,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ (s @ c5))) | ~spl0_300),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f18662])).
% 32.11/5.99 thf(f22139,plain,(
% 32.11/5.99 spl0_164 | spl0_31 | spl0_166 | ~spl0_211 | spl0_263 | spl0_268),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f22138,f11561,f11045,f5437,f2777,f319,f2769])).
% 32.11/5.99 thf(f22138,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c3)) | (spl0_31 | spl0_166 | ~spl0_211 | spl0_263 | spl0_268)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22137,f321])).
% 32.11/5.99 thf(f22137,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c3)) | (c3 = c4) | (spl0_166 | ~spl0_211 | spl0_263 | spl0_268)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f22136,f5439])).
% 32.11/5.99 thf(f22136,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c3)) | (c3 = (g @ c2 @ c3)) | (spl0_166 | spl0_263 | spl0_268)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22135,f11562])).
% 32.11/5.99 thf(f11562,plain,(
% 32.11/5.99 (c4 != (g @ c2 @ c3)) | spl0_268),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f11561])).
% 32.11/5.99 thf(f22135,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c3)) | (c3 = (g @ c3 @ c3)) | (c4 = (g @ c2 @ c3)) | (spl0_166 | spl0_263)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18094,f11046])).
% 32.11/5.99 thf(f11046,plain,(
% 32.11/5.99 (c4 != (g @ c2 @ c4)) | spl0_263),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f11045])).
% 32.11/5.99 thf(f22134,plain,(
% 32.11/5.99 spl0_91 | spl0_264 | spl0_31 | spl0_120 | spl0_122 | ~spl0_262),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f22133,f11039,f2474,f2466,f319,f11055,f1818])).
% 32.11/5.99 thf(f22133,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ c5)) | (c4 = (g @ c3 @ c4)) | (spl0_31 | spl0_120 | spl0_122 | ~spl0_262)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22132,f321])).
% 32.11/5.99 thf(f22132,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ c4)) | (c4 = (g @ c3 @ c5)) | (c3 = c4) | (spl0_120 | spl0_122 | ~spl0_262)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18099,f11041])).
% 32.11/5.99 thf(f11041,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c4)) | ~spl0_262),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f11039])).
% 32.11/5.99 thf(f18099,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ c4)) | (c4 = (g @ c3 @ c5)) | (c3 = (g @ c4 @ c4)) | (spl0_120 | spl0_122)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16734,f2475])).
% 32.11/5.99 thf(f22126,plain,(
% 32.11/5.99 spl0_31 | ~spl0_155 | ~spl0_211),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f22125])).
% 32.11/5.99 thf(f22125,plain,(
% 32.11/5.99 $false | (spl0_31 | ~spl0_155 | ~spl0_211)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22110,f321])).
% 32.11/5.99 thf(f22110,plain,(
% 32.11/5.99 (c3 = c4) | (~spl0_155 | ~spl0_211)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f2700,f5439])).
% 32.11/5.99 thf(f2700,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c3)) | ~spl0_155),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2698])).
% 32.11/5.99 thf(f22059,plain,(
% 32.11/5.99 spl0_219 | spl0_217 | spl0_75 | spl0_136 | spl0_218),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f22058,f7232,f2561,f1063,f7228,f7236])).
% 32.11/5.99 thf(f7236,definition,(
% 32.11/5.99 spl0_219 <=> (c2 = (g @ c5 @ c2))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_219])],[avatar_definition])).
% 32.11/5.99 thf(f1063,definition,(
% 32.11/5.99 spl0_75 <=> (c3 = (g @ (s @ c5) @ c2))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_75])],[avatar_definition])).
% 32.11/5.99 thf(f7232,definition,(
% 32.11/5.99 spl0_218 <=> (c5 = (g @ c5 @ c2))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_218])],[avatar_definition])).
% 32.11/5.99 thf(f22058,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c2)) | (c4 = (g @ c5 @ c2)) | (spl0_75 | spl0_136 | spl0_218)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22057,f7233])).
% 32.11/5.99 thf(f7233,plain,(
% 32.11/5.99 (c5 != (g @ c5 @ c2)) | spl0_218),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7232])).
% 32.11/5.99 thf(f22057,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c2)) | (c4 = (g @ c5 @ c2)) | (c5 = (g @ c5 @ c2)) | (spl0_75 | spl0_136)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f21890,f2562])).
% 32.11/5.99 thf(f2562,plain,(
% 32.11/5.99 (c3 != (g @ c5 @ c2)) | spl0_136),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2561])).
% 32.11/5.99 thf(f21890,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c2)) | (c5 = (g @ c5 @ c2)) | (c2 = (g @ c5 @ c2)) | (c4 = (g @ c5 @ c2)) | spl0_75),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f21888])).
% 32.11/5.99 thf(f21888,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c2)) | (c4 = (g @ c5 @ c2)) | (c3 != c3) | (c3 = (g @ c5 @ c2)) | (c2 = (g @ c5 @ c2)) | spl0_75),
% 32.11/5.99 inference(superposition,[status(thm)],[f1064,f112])).
% 32.11/5.99 thf(f1064,plain,(
% 32.11/5.99 (c3 != (g @ (s @ c5) @ c2)) | spl0_75),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1063])).
% 32.11/5.99 thf(f22053,plain,(
% 32.11/5.99 spl0_3 | ~spl0_213 | ~spl0_220),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f22052])).
% 32.11/5.99 thf(f22052,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_213 | ~spl0_220)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22051,f125])).
% 32.11/5.99 thf(f22051,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_213 | ~spl0_220)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f22050,f7266])).
% 32.11/5.99 thf(f7266,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ c3)) | ~spl0_220),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7264])).
% 32.11/5.99 thf(f7264,definition,(
% 32.11/5.99 spl0_220 <=> (c4 = (g @ c5 @ c3))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_220])],[avatar_definition])).
% 32.11/5.99 thf(f22050,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c3)) | ~spl0_213),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f22042])).
% 32.11/5.99 thf(f22042,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c3)) | (c3 != c3) | ~spl0_213),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f7188])).
% 32.11/5.99 thf(f7188,plain,(
% 32.11/5.99 (c3 = (g @ (s @ c5) @ c3)) | ~spl0_213),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7186])).
% 32.11/5.99 thf(f22029,plain,(
% 32.11/5.99 spl0_9 | ~spl0_76 | ~spl0_133),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f22028])).
% 32.11/5.99 thf(f22028,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_76 | ~spl0_133)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f22027,f154])).
% 32.11/5.99 thf(f22027,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_76 | ~spl0_133)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f21887,f1069])).
% 32.11/5.99 thf(f1069,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c2)) | ~spl0_76),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1067])).
% 32.11/5.99 thf(f1067,definition,(
% 32.11/5.99 spl0_76 <=> (c2 = (g @ (s @ c5) @ c2))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_76])],[avatar_definition])).
% 32.11/5.99 thf(f21887,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ c2)) | ~spl0_133),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f21879])).
% 32.11/5.99 thf(f21879,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ (s @ c5) @ c2)) | ~spl0_133),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f2539])).
% 32.11/5.99 thf(f2539,plain,(
% 32.11/5.99 (c3 = (g @ (s @ (s @ c5)) @ c2)) | ~spl0_133),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2537])).
% 32.11/5.99 thf(f22009,plain,(
% 32.11/5.99 spl0_76 | ~spl0_216),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f22006,f7198,f1067])).
% 32.11/5.99 thf(f22006,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c2)) | ~spl0_216),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f21996])).
% 32.11/5.99 thf(f21996,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ (s @ c5) @ c2)) | ~spl0_216),
% 32.11/5.99 inference(superposition,[status(thm)],[f65,f7200])).
% 32.11/5.99 thf(f7200,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ c3)) | ~spl0_216),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7198])).
% 32.11/5.99 thf(f65,plain,(
% 32.11/5.99 ( ! [X0 : $i] : ((c4 != (g @ X0 @ c3)) | (c2 = (g @ X0 @ c2))) )),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f13])).
% 32.11/5.99 thf(f21843,plain,(
% 32.11/5.99 spl0_220 | ~spl0_219),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f21842,f7236,f7264])).
% 32.11/5.99 thf(f21842,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ c3)) | ~spl0_219),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f21841,f13])).
% 32.11/5.99 thf(f21841,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ (s @ c2))) | ~spl0_219),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f21834])).
% 32.11/5.99 thf(f21834,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ (s @ c2))) | (c2 != c2) | ~spl0_219),
% 32.11/5.99 inference(superposition,[status(thm)],[f9,f7238])).
% 32.11/5.99 thf(f7238,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c2)) | ~spl0_219),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7236])).
% 32.11/5.99 thf(f21768,plain,(
% 32.11/5.99 spl0_3 | ~spl0_26 | ~spl0_237),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f21767])).
% 32.11/5.99 thf(f21767,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_26 | ~spl0_237)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f21766,f125])).
% 32.11/5.99 thf(f21766,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_26 | ~spl0_237)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f21765,f9216])).
% 32.11/5.99 thf(f9216,plain,(
% 32.11/5.99 (c4 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_237),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f9214])).
% 32.11/5.99 thf(f21765,plain,(
% 32.11/5.99 (c1 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_26),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f21756])).
% 32.11/5.99 thf(f21756,plain,(
% 32.11/5.99 (c1 = (g @ (s @ (s @ c5)) @ c3)) | (c3 != c3) | ~spl0_26),
% 32.11/5.99 inference(superposition,[status(thm)],[f83,f273])).
% 32.11/5.99 thf(f21720,plain,(
% 32.11/5.99 spl0_13 | ~spl0_237 | ~spl0_238),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f21719])).
% 32.11/5.99 thf(f21719,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_237 | ~spl0_238)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f21718,f212])).
% 32.11/5.99 thf(f21718,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_237 | ~spl0_238)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f21717,f9216])).
% 32.11/5.99 thf(f21717,plain,(
% 32.11/5.99 (c2 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_238),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f21705])).
% 32.11/5.99 thf(f21705,plain,(
% 32.11/5.99 (c2 = (g @ (s @ (s @ c5)) @ c3)) | (c4 != c4) | ~spl0_238),
% 32.11/5.99 inference(superposition,[status(thm)],[f64,f9227])).
% 32.11/5.99 thf(f21481,plain,(
% 32.11/5.99 spl0_238 | spl0_152 | spl0_31 | ~spl0_42 | spl0_151 | spl0_266),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f21480,f11102,f2677,f424,f319,f2681,f9225])).
% 32.11/5.99 thf(f21480,plain,(
% 32.11/5.99 (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (spl0_31 | ~spl0_42 | spl0_151 | spl0_266)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f21479,f321])).
% 32.11/5.99 thf(f21479,plain,(
% 32.11/5.99 (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = c4) | (~spl0_42 | spl0_151 | spl0_266)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f21478,f426])).
% 32.11/5.99 thf(f21478,plain,(
% 32.11/5.99 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ c8 @ c4)) | (spl0_151 | spl0_266)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f21477,f2678])).
% 32.11/5.99 thf(f21477,plain,(
% 32.11/5.99 (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ c8 @ c4)) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c4)) | spl0_266),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16094,f11103])).
% 32.11/5.99 thf(f11103,plain,(
% 32.11/5.99 (c4 != (g @ (s @ (s @ c5)) @ c5)) | spl0_266),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f11102])).
% 32.11/5.99 thf(f16094,plain,(
% 32.11/5.99 (c4 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ (s @ (s @ c5)) @ c4)) | (c4 = (g @ (s @ (s @ c5)) @ c5)) | (c5 = (g @ (s @ (s @ c5)) @ c4)) | (c3 = (g @ c8 @ c4))),
% 32.11/5.99 inference(superposition,[status(thm)],[f939,f11])).
% 32.11/5.99 thf(f21379,plain,(
% 32.11/5.99 spl0_3 | ~spl0_103 | ~spl0_152),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f21378])).
% 32.11/5.99 thf(f21378,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_103 | ~spl0_152)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f21361,f125])).
% 32.11/5.99 thf(f21361,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_103 | ~spl0_152)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f19358,f2226])).
% 32.11/5.99 thf(f2226,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ c4)) | ~spl0_103),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2224])).
% 32.11/5.99 thf(f2224,definition,(
% 32.11/5.99 spl0_103 <=> (c4 = (g @ (s @ c5) @ c4))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_103])],[avatar_definition])).
% 32.11/5.99 thf(f19358,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ c4)) | ~spl0_152),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f19350])).
% 32.11/5.99 thf(f19350,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ (s @ c5) @ c4)) | ~spl0_152),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f2683])).
% 32.11/5.99 thf(f2683,plain,(
% 32.11/5.99 (c3 = (g @ (s @ (s @ c5)) @ c4)) | ~spl0_152),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2681])).
% 32.11/5.99 thf(f21113,plain,(
% 32.11/5.99 spl0_265 | spl0_141 | spl0_142 | spl0_150),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f21112,f2658,f2608,f2604,f11061])).
% 32.11/5.99 thf(f2658,definition,(
% 32.11/5.99 spl0_150 <=> (c2 = (g @ c1 @ c4))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_150])],[avatar_definition])).
% 32.11/5.99 thf(f21112,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ c4)) | (spl0_141 | spl0_142 | spl0_150)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f21111,f2605])).
% 32.11/5.99 thf(f21111,plain,(
% 32.11/5.99 (c5 = (g @ c1 @ c4)) | (c4 = (g @ c1 @ c4)) | (spl0_142 | spl0_150)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f21110,f2609])).
% 32.11/5.99 thf(f2609,plain,(
% 32.11/5.99 (c3 != (g @ c2 @ c4)) | spl0_142),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2608])).
% 32.11/5.99 thf(f21110,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c4)) | (c5 = (g @ c1 @ c4)) | (c4 = (g @ c1 @ c4)) | spl0_150),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f21108])).
% 32.11/5.99 thf(f21108,plain,(
% 32.11/5.99 (c2 != c2) | (c5 = (g @ c1 @ c4)) | (c4 = (g @ c1 @ c4)) | (c3 = (g @ c2 @ c4)) | spl0_150),
% 32.11/5.99 inference(superposition,[status(thm)],[f2659,f346])).
% 32.11/5.99 thf(f2659,plain,(
% 32.11/5.99 (c2 != (g @ c1 @ c4)) | spl0_150),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2658])).
% 32.11/5.99 thf(f21019,plain,(
% 32.11/5.99 spl0_239 | spl0_203 | spl0_240 | spl0_279),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f21018,f13065,f9495,f4644,f9491])).
% 32.11/5.99 thf(f13065,definition,(
% 32.11/5.99 spl0_279 <=> (c4 = (g @ c1 @ (s @ (s @ c5))))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_279])],[avatar_definition])).
% 32.11/5.99 thf(f21018,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ (s @ c5))) | (c4 = (g @ c1 @ (s @ c5))) | (spl0_240 | spl0_279)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20956,f9496])).
% 32.11/5.99 thf(f20956,plain,(
% 32.11/5.99 (c5 = (g @ c1 @ (s @ c5))) | (c4 = (g @ c1 @ (s @ c5))) | (c3 = (g @ c2 @ (s @ c5))) | spl0_279),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f20953])).
% 32.11/5.99 thf(f20953,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ (s @ c5))) | (c5 = (g @ c1 @ (s @ c5))) | (c4 != c4) | (c4 = (g @ c1 @ (s @ c5))) | spl0_279),
% 32.11/5.99 inference(superposition,[status(thm)],[f13066,f376])).
% 32.11/5.99 thf(f13066,plain,(
% 32.11/5.99 (c4 != (g @ c1 @ (s @ (s @ c5)))) | spl0_279),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f13065])).
% 32.11/5.99 thf(f21001,plain,(
% 32.11/5.99 spl0_1 | ~spl0_239 | ~spl0_286),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f21000])).
% 32.11/5.99 thf(f21000,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_239 | ~spl0_286)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20999,f117])).
% 32.11/5.99 thf(f20999,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_239 | ~spl0_286)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f20998,f9493])).
% 32.11/5.99 thf(f9493,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ (s @ c5))) | ~spl0_239),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f9491])).
% 32.11/5.99 thf(f20998,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ (s @ c5))) | ~spl0_286),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f20989])).
% 32.11/5.99 thf(f20989,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ (s @ c5))) | (c3 != c3) | ~spl0_286),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f14274])).
% 32.11/5.99 thf(f20982,plain,(
% 32.11/5.99 spl0_291 | spl0_293 | spl0_286 | spl0_292 | spl0_294),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f20981,f17695,f17132,f14272,f17136,f14300])).
% 32.11/5.99 thf(f17695,definition,(
% 32.11/5.99 spl0_294 <=> (c4 = (g @ c3 @ (s @ (s @ c5))))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_294])],[avatar_definition])).
% 32.11/5.99 thf(f20981,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ (s @ c5))) | (c3 = (g @ c3 @ (s @ c5))) | (c4 = (g @ c3 @ (s @ c5))) | (spl0_292 | spl0_294)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20980,f17133])).
% 32.11/5.99 thf(f20980,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ (s @ c5))) | (c5 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c4 @ (s @ c5))) | spl0_294),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f20977])).
% 32.11/5.99 thf(f20977,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c4 @ (s @ c5))) | (c3 = (g @ c3 @ (s @ c5))) | (c4 != c4) | (c5 = (g @ c3 @ (s @ c5))) | spl0_294),
% 32.11/5.99 inference(superposition,[status(thm)],[f17696,f650])).
% 32.11/5.99 thf(f17696,plain,(
% 32.11/5.99 (c4 != (g @ c3 @ (s @ (s @ c5)))) | spl0_294),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f17695])).
% 32.11/5.99 thf(f20761,plain,(
% 32.11/5.99 spl0_24 | ~spl0_142 | ~spl0_144),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f20760])).
% 32.11/5.99 thf(f20760,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_142 | ~spl0_144)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20759,f263])).
% 32.11/5.99 thf(f20759,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_142 | ~spl0_144)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f2622,f2610])).
% 32.11/5.99 thf(f2622,plain,(
% 32.11/5.99 (c2 = (g @ c2 @ c4)) | ~spl0_144),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2620])).
% 32.11/5.99 thf(f20752,plain,(
% 32.11/5.99 spl0_9 | ~spl0_139 | ~spl0_271),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f20751])).
% 32.11/5.99 thf(f20751,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_139 | ~spl0_271)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20750,f154])).
% 32.11/5.99 thf(f20750,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_139 | ~spl0_271)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f20739,f2586])).
% 32.11/5.99 thf(f20739,plain,(
% 32.11/5.99 (c1 = (g @ c1 @ (s @ (s @ c5)))) | ~spl0_271),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f20730])).
% 32.11/5.99 thf(f20730,plain,(
% 32.11/5.99 (c1 = (g @ c1 @ (s @ (s @ c5)))) | (c3 != c3) | ~spl0_271),
% 32.11/5.99 inference(superposition,[status(thm)],[f73,f12099])).
% 32.11/5.99 thf(f12099,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ (s @ (s @ c5)))) | ~spl0_271),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f12097])).
% 32.11/5.99 thf(f73,plain,(
% 32.11/5.99 ( ! [X0 : $i] : ((c3 != (g @ c2 @ X0)) | (c1 = (g @ c1 @ X0))) )),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f25])).
% 32.11/5.99 thf(f20485,plain,(
% 32.11/5.99 spl0_13 | ~spl0_91 | ~spl0_202),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f20484])).
% 32.11/5.99 thf(f20484,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_91 | ~spl0_202)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20483,f212])).
% 32.11/5.99 thf(f20483,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_91 | ~spl0_202)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f4377,f1820])).
% 32.11/5.99 thf(f20480,plain,(
% 32.11/5.99 spl0_3 | ~spl0_57 | ~spl0_64),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f20479])).
% 32.11/5.99 thf(f20479,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_57 | ~spl0_64)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20478,f125])).
% 32.11/5.99 thf(f20478,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_57 | ~spl0_64)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f20477,f792])).
% 32.11/5.99 thf(f792,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c8)) | ~spl0_64),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f790])).
% 32.11/5.99 thf(f790,definition,(
% 32.11/5.99 spl0_64 <=> (c4 = (g @ c2 @ c8))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_64])],[avatar_definition])).
% 32.11/5.99 thf(f20477,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c8)) | ~spl0_57),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f20468])).
% 32.11/5.99 thf(f20468,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c2 @ c8)) | ~spl0_57),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f662])).
% 32.11/5.99 thf(f662,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c8)) | ~spl0_57),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f660])).
% 32.11/5.99 thf(f20427,plain,(
% 32.11/5.99 spl0_277 | spl0_54 | spl0_24 | ~spl0_248 | spl0_275 | spl0_276),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f20426,f12174,f12170,f10355,f261,f613,f12178])).
% 32.11/5.99 thf(f20426,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c8)) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | (spl0_24 | ~spl0_248 | spl0_275 | spl0_276)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20425,f263])).
% 32.11/5.99 thf(f20425,plain,(
% 32.11/5.99 (c3 = c2) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ c8)) | (~spl0_248 | spl0_275 | spl0_276)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f20424,f10357])).
% 32.11/5.99 thf(f10357,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ (s @ (s @ c5)))) | ~spl0_248),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f10355])).
% 32.11/5.99 thf(f20424,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ c8)) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (spl0_275 | spl0_276)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20423,f12171])).
% 32.11/5.99 thf(f20423,plain,(
% 32.11/5.99 (c5 = (g @ c4 @ (s @ (s @ c5)))) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ c8)) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | spl0_276),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12529,f12175])).
% 32.11/5.99 thf(f12529,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ (s @ (s @ c5)))) | (c5 = (g @ c4 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ c8)) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ (s @ (s @ c5))))),
% 32.11/5.99 inference(superposition,[status(thm)],[f599,f79])).
% 32.11/5.99 thf(f20397,plain,(
% 32.11/5.99 spl0_209 | spl0_24 | spl0_156 | spl0_162 | spl0_176 | ~spl0_206),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f20396,f4765,f2865,f2754,f2702,f261,f5040])).
% 32.11/5.99 thf(f4765,definition,(
% 32.11/5.99 spl0_206 <=> (c2 = (g @ c5 @ c3))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_206])],[avatar_definition])).
% 32.11/5.99 thf(f20396,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c3)) | (spl0_24 | spl0_156 | spl0_162 | spl0_176 | ~spl0_206)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20395,f263])).
% 32.11/5.99 thf(f20395,plain,(
% 32.11/5.99 (c3 = c2) | (c4 = (g @ c4 @ c3)) | (spl0_156 | spl0_162 | spl0_176 | ~spl0_206)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f20394,f4767])).
% 32.11/5.99 thf(f4767,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c3)) | ~spl0_206),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f4765])).
% 32.11/5.99 thf(f20394,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c3)) | (c4 = (g @ c4 @ c3)) | (spl0_156 | spl0_162 | spl0_176)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20393,f2866])).
% 32.11/5.99 thf(f20393,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c3)) | (c5 = (g @ c4 @ c3)) | (c4 = (g @ c4 @ c3)) | (spl0_156 | spl0_162)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20392,f2703])).
% 32.11/5.99 thf(f2703,plain,(
% 32.11/5.99 (c3 != (g @ c4 @ c3)) | spl0_156),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2702])).
% 32.11/5.99 thf(f20392,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | (c5 = (g @ c4 @ c3)) | (c4 = (g @ c4 @ c3)) | spl0_162),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f20390])).
% 32.11/5.99 thf(f20390,plain,(
% 32.11/5.99 (c2 != c2) | (c3 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | (c5 = (g @ c4 @ c3)) | (c4 = (g @ c4 @ c3)) | spl0_162),
% 32.11/5.99 inference(superposition,[status(thm)],[f2755,f293])).
% 32.11/5.99 thf(f20367,plain,(
% 32.11/5.99 spl0_13 | ~spl0_178 | ~spl0_259),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f20366])).
% 32.11/5.99 thf(f20366,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_178 | ~spl0_259)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20365,f212])).
% 32.11/5.99 thf(f20365,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_178 | ~spl0_259)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f2875,f10748])).
% 32.11/5.99 thf(f20363,plain,(
% 32.11/5.99 spl0_13 | ~spl0_165 | ~spl0_270),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f20362])).
% 32.11/5.99 thf(f20362,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_165 | ~spl0_270)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20347,f212])).
% 32.11/5.99 thf(f20347,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_165 | ~spl0_270)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f2775,f11986])).
% 32.11/5.99 thf(f11986,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c2)) | ~spl0_270),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f11984])).
% 32.11/5.99 thf(f2775,plain,(
% 32.11/5.99 (c2 = (g @ c2 @ c2)) | ~spl0_165),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2773])).
% 32.11/5.99 thf(f2773,definition,(
% 32.11/5.99 spl0_165 <=> (c2 = (g @ c2 @ c2))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_165])],[avatar_definition])).
% 32.11/5.99 thf(f20322,plain,(
% 32.11/5.99 spl0_277 | spl0_24 | spl0_182 | ~spl0_248 | spl0_275 | spl0_276),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f20321,f12174,f12170,f10355,f2949,f261,f12178])).
% 32.11/5.99 thf(f2949,definition,(
% 32.11/5.99 spl0_182 <=> (c2 = (g @ c4 @ (s @ (s @ c5))))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_182])],[avatar_definition])).
% 32.11/5.99 thf(f20321,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ (s @ (s @ c5)))) | (spl0_24 | spl0_182 | ~spl0_248 | spl0_275 | spl0_276)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20320,f263])).
% 32.11/5.99 thf(f20320,plain,(
% 32.11/5.99 (c3 = c2) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | (spl0_182 | ~spl0_248 | spl0_275 | spl0_276)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f20319,f10357])).
% 32.11/5.99 thf(f20319,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ (s @ (s @ c5)))) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (spl0_182 | spl0_275 | spl0_276)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20318,f12171])).
% 32.11/5.99 thf(f20318,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ (s @ (s @ c5)))) | (c5 = (g @ c4 @ (s @ (s @ c5)))) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | (spl0_182 | spl0_276)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20317,f12175])).
% 32.11/5.99 thf(f20317,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ (s @ (s @ c5)))) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (c5 = (g @ c4 @ (s @ (s @ c5)))) | spl0_182),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f20315])).
% 32.11/5.99 thf(f20315,plain,(
% 32.11/5.99 (c2 != c2) | (c5 = (g @ c4 @ (s @ (s @ c5)))) | (c4 = (g @ c4 @ (s @ (s @ c5)))) | (c3 = (g @ c5 @ (s @ (s @ c5)))) | (c3 = (g @ c4 @ (s @ (s @ c5)))) | spl0_182),
% 32.11/5.99 inference(superposition,[status(thm)],[f2950,f293])).
% 32.11/5.99 thf(f2950,plain,(
% 32.11/5.99 (c2 != (g @ c4 @ (s @ (s @ c5)))) | spl0_182),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2949])).
% 32.11/5.99 thf(f20105,plain,(
% 32.11/5.99 spl0_9 | ~spl0_163 | ~spl0_174),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f20104])).
% 32.11/5.99 thf(f20104,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_163 | ~spl0_174)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20103,f154])).
% 32.11/5.99 thf(f20103,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_163 | ~spl0_174)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f20102,f2829])).
% 32.11/5.99 thf(f2829,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ c4)) | ~spl0_174),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2827])).
% 32.11/5.99 thf(f20102,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c4)) | ~spl0_163),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f20094])).
% 32.11/5.99 thf(f20094,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c4 @ c4)) | ~spl0_163),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f2760])).
% 32.11/5.99 thf(f2760,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c4)) | ~spl0_163),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2758])).
% 32.11/5.99 thf(f2758,definition,(
% 32.11/5.99 spl0_163 <=> (c3 = (g @ c5 @ c4))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_163])],[avatar_definition])).
% 32.11/5.99 thf(f20017,plain,(
% 32.11/5.99 spl0_163 | spl0_227 | spl0_226 | spl0_1 | ~spl0_152 | spl0_228),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f20016,f7497,f2681,f115,f7489,f7493,f2758])).
% 32.11/5.99 thf(f7489,definition,(
% 32.11/5.99 spl0_226 <=> (c4 = (g @ c5 @ c4))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_226])],[avatar_definition])).
% 32.11/5.99 thf(f7497,definition,(
% 32.11/5.99 spl0_228 <=> (c5 = (g @ c5 @ c4))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_228])],[avatar_definition])).
% 32.11/5.99 thf(f20016,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c4)) | (c4 = (g @ c5 @ c4)) | (c3 = (g @ c5 @ c4)) | (spl0_1 | ~spl0_152 | spl0_228)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f20015,f7498])).
% 32.11/5.99 thf(f7498,plain,(
% 32.11/5.99 (c5 != (g @ c5 @ c4)) | spl0_228),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7497])).
% 32.11/5.99 thf(f20015,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ c4)) | (c5 = (g @ c5 @ c4)) | (c2 = (g @ c5 @ c4)) | (c3 = (g @ c5 @ c4)) | (spl0_1 | ~spl0_152)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19537,f117])).
% 32.11/5.99 thf(f19537,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c4)) | (c1 = c3) | (c4 = (g @ c5 @ c4)) | (c5 = (g @ c5 @ c4)) | (c2 = (g @ c5 @ c4)) | ~spl0_152),
% 32.11/5.99 inference(superposition,[status(thm)],[f112,f19358])).
% 32.11/5.99 thf(f19998,plain,(
% 32.11/5.99 spl0_13 | ~spl0_143 | ~spl0_207),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f19997])).
% 32.11/5.99 thf(f19997,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_143 | ~spl0_207)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19996,f212])).
% 32.11/5.99 thf(f19996,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_143 | ~spl0_207)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f2614,f4899])).
% 32.11/5.99 thf(f4899,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ c3)) | ~spl0_207),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f4897])).
% 32.11/5.99 thf(f2614,plain,(
% 32.11/5.99 (c2 = (g @ c1 @ c3)) | ~spl0_143),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2612])).
% 32.11/5.99 thf(f2612,definition,(
% 32.11/5.99 spl0_143 <=> (c2 = (g @ c1 @ c3))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_143])],[avatar_definition])).
% 32.11/5.99 thf(f19837,plain,(
% 32.11/5.99 spl0_274 | spl0_272 | spl0_271 | spl0_64 | spl0_273),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f19836,f12105,f790,f12097,f12101,f12109])).
% 32.11/5.99 thf(f19836,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ (s @ (s @ c5)))) | (c4 = (g @ c2 @ (s @ (s @ c5)))) | (c4 = (g @ c2 @ c8)) | (c3 = (g @ c3 @ (s @ (s @ c5)))) | spl0_273),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f14315,f12106])).
% 32.11/5.99 thf(f14315,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = (g @ c3 @ (s @ (s @ c5)))) | (c5 = (g @ c2 @ (s @ (s @ c5)))) | (c4 = (g @ c2 @ c8)) | (c4 = (g @ c2 @ (s @ (s @ c5))))),
% 32.11/5.99 inference(superposition,[status(thm)],[f701,f79])).
% 32.11/5.99 thf(f19799,plain,(
% 32.11/5.99 spl0_3 | ~spl0_277 | ~spl0_294),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f19798])).
% 32.11/5.99 thf(f19798,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_277 | ~spl0_294)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19797,f125])).
% 32.11/5.99 thf(f19797,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_277 | ~spl0_294)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f19585,f17697])).
% 32.11/5.99 thf(f17697,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ (s @ (s @ c5)))) | ~spl0_294),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f17695])).
% 32.11/5.99 thf(f19585,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ (s @ (s @ c5)))) | ~spl0_277),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f19576])).
% 32.11/5.99 thf(f19576,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ (s @ (s @ c5)))) | (c3 != c3) | ~spl0_277),
% 32.11/5.99 inference(superposition,[status(thm)],[f71,f12180])).
% 32.11/5.99 thf(f19727,plain,(
% 32.11/5.99 spl0_13 | ~spl0_247 | ~spl0_248),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f19726])).
% 32.11/5.99 thf(f19726,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_247 | ~spl0_248)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19725,f212])).
% 32.11/5.99 thf(f19725,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_247 | ~spl0_248)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f10357,f10353])).
% 32.11/5.99 thf(f19610,plain,(
% 32.11/5.99 spl0_31 | spl0_286 | ~spl0_289 | spl0_292 | spl0_293 | spl0_294),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f19609])).
% 32.11/5.99 thf(f19609,plain,(
% 32.11/5.99 $false | (spl0_31 | spl0_286 | ~spl0_289 | spl0_292 | spl0_293 | spl0_294)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19608,f321])).
% 32.11/5.99 thf(f19608,plain,(
% 32.11/5.99 (c3 = c4) | (spl0_286 | ~spl0_289 | spl0_292 | spl0_293 | spl0_294)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f19607,f14294])).
% 32.11/5.99 thf(f19607,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ (s @ c5))) | (spl0_286 | spl0_292 | spl0_293 | spl0_294)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19606,f17133])).
% 32.11/5.99 thf(f19606,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ (s @ c5))) | (c5 = (g @ c3 @ (s @ c5))) | (spl0_286 | spl0_293 | spl0_294)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19605,f17137])).
% 32.11/5.99 thf(f19605,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c4 @ (s @ c5))) | (c5 = (g @ c3 @ (s @ c5))) | (spl0_286 | spl0_294)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19604,f14273])).
% 32.11/5.99 thf(f19604,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ (s @ c5))) | (c4 = (g @ c3 @ (s @ c5))) | (c5 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c4 @ (s @ c5))) | spl0_294),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f19601])).
% 32.11/5.99 thf(f19601,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c4 @ (s @ c5))) | (c3 = (g @ c3 @ (s @ c5))) | (c4 != c4) | (c5 = (g @ c3 @ (s @ c5))) | spl0_294),
% 32.11/5.99 inference(superposition,[status(thm)],[f17696,f650])).
% 32.11/5.99 thf(f19475,plain,(
% 32.11/5.99 spl0_9 | ~spl0_206 | ~spl0_213),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f19474])).
% 32.11/5.99 thf(f19474,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_206 | ~spl0_213)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19473,f154])).
% 32.11/5.99 thf(f19473,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_206 | ~spl0_213)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f19470,f4767])).
% 32.11/5.99 thf(f19470,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c3)) | ~spl0_213),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f19462])).
% 32.11/5.99 thf(f19462,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c3)) | (c3 != c3) | ~spl0_213),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f7188])).
% 32.11/5.99 thf(f19225,plain,(
% 32.11/5.99 spl0_26 | spl0_42 | spl0_43 | spl0_28),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f15601,f279,f428,f424,f271])).
% 32.11/5.99 thf(f15601,plain,(
% 32.11/5.99 (c4 = (g @ c8 @ c3)) | (c3 = (g @ c8 @ c3)) | (c4 = (g @ c8 @ c4)) | spl0_28),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15582,f280])).
% 32.11/5.99 thf(f15582,plain,(
% 32.11/5.99 (c5 = (g @ c8 @ c3)) | (c3 = (g @ c8 @ c3)) | (c4 = (g @ c8 @ c4)) | (c4 = (g @ c8 @ c3))),
% 32.11/5.99 inference(superposition,[status(thm)],[f203,f30])).
% 32.11/5.99 thf(f19147,plain,(
% 32.11/5.99 spl0_219 | spl0_217 | spl0_1 | ~spl0_133 | spl0_136 | spl0_218),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f16910,f7232,f2561,f2537,f115,f7228,f7236])).
% 32.11/5.99 thf(f16910,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c2)) | (c4 = (g @ c5 @ c2)) | (spl0_1 | ~spl0_133 | spl0_136 | spl0_218)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16909,f117])).
% 32.11/5.99 thf(f16909,plain,(
% 32.11/5.99 (c1 = c3) | (c2 = (g @ c5 @ c2)) | (c4 = (g @ c5 @ c2)) | (~spl0_133 | spl0_136 | spl0_218)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16908,f2562])).
% 32.11/5.99 thf(f16908,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c2)) | (c3 = (g @ c5 @ c2)) | (c4 = (g @ c5 @ c2)) | (c1 = c3) | (~spl0_133 | spl0_218)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16895,f7233])).
% 32.11/5.99 thf(f16895,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c2)) | (c1 = c3) | (c4 = (g @ c5 @ c2)) | (c3 = (g @ c5 @ c2)) | (c2 = (g @ c5 @ c2)) | ~spl0_133),
% 32.11/5.99 inference(superposition,[status(thm)],[f112,f16212])).
% 32.11/5.99 thf(f16212,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ c2)) | ~spl0_133),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f16204])).
% 32.11/5.99 thf(f16204,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ c2)) | (c3 != c3) | ~spl0_133),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f2539])).
% 32.11/5.99 thf(f19146,plain,(
% 32.11/5.99 spl0_44 | spl0_30 | spl0_29),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f16318,f285,f289,f434])).
% 32.11/5.99 thf(f289,definition,(
% 32.11/5.99 spl0_30 <=> (c3 = (g @ c8 @ c1))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_30])],[avatar_definition])).
% 32.11/5.99 thf(f285,definition,(
% 32.11/5.99 spl0_29 <=> (c5 = (g @ c8 @ c1))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition])).
% 32.11/5.99 thf(f16318,plain,(
% 32.11/5.99 (c3 = (g @ c8 @ c1)) | (c4 = (g @ c8 @ c2)) | spl0_29),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16317,f16])).
% 32.11/5.99 thf(f16317,plain,(
% 32.11/5.99 (c4 = (g @ c8 @ c1)) | (c3 = (g @ c8 @ c1)) | (c4 = (g @ c8 @ c2)) | spl0_29),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15584,f286])).
% 32.11/5.99 thf(f286,plain,(
% 32.11/5.99 (c5 != (g @ c8 @ c1)) | spl0_29),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f285])).
% 32.11/5.99 thf(f15584,plain,(
% 32.11/5.99 (c4 = (g @ c8 @ c2)) | (c5 = (g @ c8 @ c1)) | (c4 = (g @ c8 @ c1)) | (c3 = (g @ c8 @ c1))),
% 32.11/5.99 inference(superposition,[status(thm)],[f203,f25])).
% 32.11/5.99 thf(f19139,plain,(
% 32.11/5.99 spl0_3 | ~spl0_163 | ~spl0_262),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f19138])).
% 32.11/5.99 thf(f19138,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_163 | ~spl0_262)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19137,f125])).
% 32.11/5.99 thf(f19137,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_163 | ~spl0_262)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f19136,f11041])).
% 32.11/5.99 thf(f19136,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c4)) | ~spl0_163),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f19128])).
% 32.11/5.99 thf(f19128,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c4 @ c4)) | ~spl0_163),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f2760])).
% 32.11/5.99 thf(f19051,plain,(
% 32.11/5.99 spl0_232 | spl0_230 | spl0_233 | spl0_31 | spl0_73 | spl0_231 | spl0_283 | spl0_284 | spl0_285),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f19050,f13895,f13891,f13887,f9082,f1004,f319,f9090,f9078,f9086])).
% 32.11/5.99 thf(f19050,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (spl0_31 | spl0_73 | spl0_231 | spl0_283 | spl0_284 | spl0_285)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19049,f13892])).
% 32.11/5.99 thf(f19049,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (spl0_31 | spl0_73 | spl0_231 | spl0_283 | spl0_285)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19048,f13888])).
% 32.11/5.99 thf(f13888,plain,(
% 32.11/5.99 (c4 != (g @ (s @ (s @ c5)) @ (s @ c5))) | spl0_283),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f13887])).
% 32.11/5.99 thf(f19048,plain,(
% 32.11/5.99 (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (spl0_31 | spl0_73 | spl0_231 | spl0_285)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f19047,f1005])).
% 32.11/5.99 thf(f19047,plain,(
% 32.11/5.99 (c3 = (g @ c8 @ (s @ c5))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (spl0_31 | spl0_231 | spl0_285)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18648,f9083])).
% 32.11/5.99 thf(f18648,plain,(
% 32.11/5.99 (c5 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ c8 @ (s @ c5))) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (spl0_31 | spl0_285)),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f18643])).
% 32.11/5.99 thf(f18643,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ c8 @ (s @ c5))) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c5 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 != c3) | (spl0_31 | spl0_285)),
% 32.11/5.99 inference(superposition,[status(thm)],[f13896,f13899])).
% 32.11/5.99 thf(f13896,plain,(
% 32.11/5.99 (c3 != (g @ (s @ (s @ c5)) @ (s @ c5))) | spl0_285),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f13895])).
% 32.11/5.99 thf(f19040,plain,(
% 32.11/5.99 spl0_232 | spl0_230 | spl0_233 | spl0_31 | spl0_231 | ~spl0_282),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f18801,f13741,f9082,f319,f9090,f9078,f9086])).
% 32.11/5.99 thf(f18801,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (spl0_31 | spl0_231 | ~spl0_282)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18800,f9083])).
% 32.11/5.99 thf(f18800,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c5 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (spl0_31 | ~spl0_282)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18752,f321])).
% 32.11/5.99 thf(f18752,plain,(
% 32.11/5.99 (c3 = c4) | (c4 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c5 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | ~spl0_282),
% 32.11/5.99 inference(superposition,[status(thm)],[f13743,f112])).
% 32.11/5.99 thf(f18975,plain,(
% 32.11/5.99 spl0_13 | ~spl0_55 | ~spl0_294),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18974])).
% 32.11/5.99 thf(f18974,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_55 | ~spl0_294)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18973,f212])).
% 32.11/5.99 thf(f18973,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_55 | ~spl0_294)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18972,f17697])).
% 32.11/5.99 thf(f18972,plain,(
% 32.11/5.99 (c2 = (g @ c3 @ (s @ (s @ c5)))) | ~spl0_55),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f18961])).
% 32.11/5.99 thf(f18961,plain,(
% 32.11/5.99 (c2 = (g @ c3 @ (s @ (s @ c5)))) | (c4 != c4) | ~spl0_55),
% 32.11/5.99 inference(superposition,[status(thm)],[f84,f654])).
% 32.11/5.99 thf(f18919,plain,(
% 32.11/5.99 spl0_57 | spl0_55 | spl0_1 | spl0_56 | ~spl0_88),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f18918,f1461,f656,f115,f652,f660])).
% 32.11/5.99 thf(f18918,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ c8)) | (c3 = (g @ c3 @ c8)) | (spl0_1 | spl0_56 | ~spl0_88)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18917,f117])).
% 32.11/5.99 thf(f18917,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ c8)) | (c3 = (g @ c3 @ c8)) | (c1 = c3) | (spl0_56 | ~spl0_88)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18916,f1463])).
% 32.11/5.99 thf(f18916,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c8)) | (c3 = (g @ c4 @ c8)) | (c4 = (g @ c3 @ c8)) | spl0_56),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18851,f16])).
% 32.11/5.99 thf(f18851,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c8)) | (c3 = (g @ c4 @ c8)) | (c4 = (g @ c3 @ c8)) | (c4 = (g @ c3 @ c1)) | spl0_56),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12931,f657])).
% 32.11/5.99 thf(f657,plain,(
% 32.11/5.99 (c5 != (g @ c3 @ c8)) | spl0_56),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f656])).
% 32.11/5.99 thf(f18915,plain,(
% 32.11/5.99 spl0_13 | ~spl0_41 | ~spl0_279),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18914])).
% 32.11/5.99 thf(f18914,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_41 | ~spl0_279)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18913,f212])).
% 32.11/5.99 thf(f18913,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_41 | ~spl0_279)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18912,f13067])).
% 32.11/5.99 thf(f13067,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ (s @ (s @ c5)))) | ~spl0_279),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f13065])).
% 32.11/5.99 thf(f18912,plain,(
% 32.11/5.99 (c2 = (g @ c1 @ (s @ (s @ c5)))) | ~spl0_41),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f18900])).
% 32.11/5.99 thf(f18900,plain,(
% 32.11/5.99 (c2 = (g @ c1 @ (s @ (s @ c5)))) | (c4 != c4) | ~spl0_41),
% 32.11/5.99 inference(superposition,[status(thm)],[f84,f389])).
% 32.11/5.99 thf(f18850,plain,(
% 32.11/5.99 spl0_39 | spl0_41 | spl0_40),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f18849,f383,f387,f379])).
% 32.11/5.99 thf(f379,definition,(
% 32.11/5.99 spl0_39 <=> (c3 = (g @ c2 @ c8))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_39])],[avatar_definition])).
% 32.11/5.99 thf(f383,definition,(
% 32.11/5.99 spl0_40 <=> (c5 = (g @ c1 @ c8))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_40])],[avatar_definition])).
% 32.11/5.99 thf(f18849,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c8)) | (c4 = (g @ c1 @ c8)) | spl0_40),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4055,f384])).
% 32.11/5.99 thf(f384,plain,(
% 32.11/5.99 (c5 != (g @ c1 @ c8)) | spl0_40),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f383])).
% 32.11/5.99 thf(f4055,plain,(
% 32.11/5.99 (c5 = (g @ c1 @ c8)) | (c4 = (g @ c1 @ c8)) | (c3 = (g @ c2 @ c8))),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4051])).
% 32.11/5.99 thf(f4051,plain,(
% 32.11/5.99 (c2 != c2) | (c4 = (g @ c1 @ c8)) | (c3 = (g @ c2 @ c8)) | (c5 = (g @ c1 @ c8))),
% 32.11/5.99 inference(superposition,[status(thm)],[f15,f346])).
% 32.11/5.99 thf(f18833,plain,(
% 32.11/5.99 spl0_3 | ~spl0_107 | ~spl0_260),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18832])).
% 32.11/5.99 thf(f18832,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_107 | ~spl0_260)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18814,f125])).
% 32.11/5.99 thf(f18814,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_107 | ~spl0_260)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f10760,f2339])).
% 32.11/5.99 thf(f2339,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ c8)) | ~spl0_107),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2337])).
% 32.11/5.99 thf(f2337,definition,(
% 32.11/5.99 spl0_107 <=> (c4 = (g @ (s @ c5) @ c8))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_107])],[avatar_definition])).
% 32.11/5.99 thf(f18799,plain,(
% 32.11/5.99 spl0_9 | ~spl0_230 | ~spl0_248),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18798])).
% 32.11/5.99 thf(f18798,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_230 | ~spl0_248)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18784,f154])).
% 32.11/5.99 thf(f18784,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_230 | ~spl0_248)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f13643,f10357])).
% 32.11/5.99 thf(f13643,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ (s @ (s @ c5)))) | ~spl0_230),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13635])).
% 32.11/5.99 thf(f13635,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ (s @ (s @ c5)))) | (c3 != c3) | ~spl0_230),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f9080])).
% 32.11/5.99 thf(f9080,plain,(
% 32.11/5.99 (c3 = (g @ (s @ c5) @ (s @ (s @ c5)))) | ~spl0_230),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f9078])).
% 32.11/5.99 thf(f18781,plain,(
% 32.11/5.99 spl0_24 | ~spl0_99 | ~spl0_242),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18780])).
% 32.11/5.99 thf(f18780,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_99 | ~spl0_242)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18779,f263])).
% 32.11/5.99 thf(f18779,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_99 | ~spl0_242)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18778,f1855])).
% 32.11/5.99 thf(f18778,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c5)) | ~spl0_242),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f18769])).
% 32.11/5.99 thf(f18769,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c5 @ c5)) | ~spl0_242),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f10291])).
% 32.11/5.99 thf(f18738,plain,(
% 32.11/5.99 spl0_212 | spl0_224 | ~spl0_243),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18737])).
% 32.11/5.99 thf(f18737,plain,(
% 32.11/5.99 $false | (spl0_212 | spl0_224 | ~spl0_243)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18736,f6350])).
% 32.11/5.99 thf(f6350,plain,(
% 32.11/5.99 (c8 != c5) | spl0_212),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f6349])).
% 32.11/5.99 thf(f6349,definition,(
% 32.11/5.99 spl0_212 <=> (c8 = c5)),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_212])],[avatar_definition])).
% 32.11/5.99 thf(f18736,plain,(
% 32.11/5.99 (c8 = c5) | (spl0_224 | ~spl0_243)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18723,f7476])).
% 32.11/5.99 thf(f7476,plain,(
% 32.11/5.99 (c1 != (s @ c5)) | spl0_224),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7475])).
% 32.11/5.99 thf(f7475,definition,(
% 32.11/5.99 spl0_224 <=> (c1 = (s @ c5))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_224])],[avatar_definition])).
% 32.11/5.99 thf(f18723,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | (c8 = c5) | ~spl0_243),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f18720])).
% 32.11/5.99 thf(f18720,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | (c5 != c5) | (c8 = c5) | ~spl0_243),
% 32.11/5.99 inference(superposition,[status(thm)],[f22,f10295])).
% 32.11/5.99 thf(f10295,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ (s @ c5))) | ~spl0_243),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f10293])).
% 32.11/5.99 thf(f22,plain,(
% 32.11/5.99 ( ! [X3 : $i,X4 : $i] : ((c5 != (g @ X4 @ X3)) | (c8 = X4) | (c1 = X3)) )),
% 32.11/5.99 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.99 thf(f18711,plain,(
% 32.11/5.99 spl0_1 | ~spl0_230 | ~spl0_296),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18710])).
% 32.11/5.99 thf(f18710,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_230 | ~spl0_296)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18709,f117])).
% 32.11/5.99 thf(f18709,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_230 | ~spl0_296)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18696,f9080])).
% 32.11/5.99 thf(f18696,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ (s @ (s @ c5)))) | ~spl0_296),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f18688])).
% 32.11/5.99 thf(f18688,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ (s @ (s @ c5)))) | (c3 != c3) | ~spl0_296),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f18441])).
% 32.11/5.99 thf(f18708,plain,(
% 32.11/5.99 spl0_31 | spl0_73 | spl0_283 | spl0_284 | spl0_285 | ~spl0_296),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18707])).
% 32.11/5.99 thf(f18707,plain,(
% 32.11/5.99 $false | (spl0_31 | spl0_73 | spl0_283 | spl0_284 | spl0_285 | ~spl0_296)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18706,f13888])).
% 32.11/5.99 thf(f18706,plain,(
% 32.11/5.99 (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (spl0_31 | spl0_73 | spl0_284 | spl0_285 | ~spl0_296)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18705,f13892])).
% 32.11/5.99 thf(f18705,plain,(
% 32.11/5.99 (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (spl0_31 | spl0_73 | spl0_285 | ~spl0_296)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18704,f1005])).
% 32.11/5.99 thf(f18704,plain,(
% 32.11/5.99 (c3 = (g @ c8 @ (s @ c5))) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (spl0_31 | spl0_285 | ~spl0_296)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18703,f13896])).
% 32.11/5.99 thf(f18703,plain,(
% 32.11/5.99 (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ c8 @ (s @ c5))) | (spl0_31 | ~spl0_296)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18682,f321])).
% 32.11/5.99 thf(f18682,plain,(
% 32.11/5.99 (c3 = c4) | (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | (c3 = (g @ c8 @ (s @ c5))) | (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | ~spl0_296),
% 32.11/5.99 inference(superposition,[status(thm)],[f18441,f939])).
% 32.11/5.99 thf(f18434,plain,(
% 32.11/5.99 spl0_9 | ~spl0_15 | ~spl0_196),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18433])).
% 32.11/5.99 thf(f18433,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_15 | ~spl0_196)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18415,f154])).
% 32.11/5.99 thf(f18415,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_15 | ~spl0_196)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f3572,f4016])).
% 32.11/5.99 thf(f3572,plain,(
% 32.11/5.99 (c1 = (g @ (s @ (s @ c5)) @ c5)) | ~spl0_15),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f3563])).
% 32.11/5.99 thf(f3563,plain,(
% 32.11/5.99 (c1 = (g @ (s @ (s @ c5)) @ c5)) | (c3 != c3) | ~spl0_15),
% 32.11/5.99 inference(superposition,[status(thm)],[f83,f220])).
% 32.11/5.99 thf(f18400,plain,(
% 32.11/5.99 spl0_1 | ~spl0_99 | ~spl0_109),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18399])).
% 32.11/5.99 thf(f18399,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_99 | ~spl0_109)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18398,f117])).
% 32.11/5.99 thf(f18398,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_99 | ~spl0_109)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18397,f1855])).
% 32.11/5.99 thf(f18397,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c5)) | ~spl0_109),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f18389])).
% 32.11/5.99 thf(f18389,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c5 @ c5)) | ~spl0_109),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f2410])).
% 32.11/5.99 thf(f18301,plain,(
% 32.11/5.99 spl0_271 | spl0_274 | spl0_31 | spl0_167 | spl0_273 | ~spl0_294),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f18300,f17695,f12105,f2786,f319,f12109,f12097])).
% 32.11/5.99 thf(f18300,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = (g @ c2 @ (s @ (s @ c5)))) | (spl0_31 | spl0_167 | spl0_273 | ~spl0_294)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18299,f321])).
% 32.11/5.99 thf(f18299,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = c4) | (spl0_167 | spl0_273 | ~spl0_294)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18298,f17697])).
% 32.11/5.99 thf(f18298,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = (g @ c3 @ (s @ (s @ c5)))) | (c3 = (g @ c2 @ (s @ (s @ c5)))) | (spl0_167 | spl0_273)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18297,f12106])).
% 32.11/5.99 thf(f18297,plain,(
% 32.11/5.99 (c5 = (g @ c2 @ (s @ (s @ c5)))) | (c4 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = (g @ c3 @ (s @ (s @ c5)))) | spl0_167),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f18295])).
% 32.11/5.99 thf(f18295,plain,(
% 32.11/5.99 (c5 = (g @ c2 @ (s @ (s @ c5)))) | (c4 = (g @ c2 @ (s @ (s @ c5)))) | (c3 = (g @ c3 @ (s @ (s @ c5)))) | (c3 = (g @ c2 @ (s @ (s @ c5)))) | (c2 != c2) | spl0_167),
% 32.11/5.99 inference(superposition,[status(thm)],[f2787,f295])).
% 32.11/5.99 thf(f18219,plain,(
% 32.11/5.99 spl0_99 | spl0_100 | spl0_101 | spl0_93 | spl0_13 | ~spl0_276),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f18088,f12174,f210,f1826,f1861,f1857,f1853])).
% 32.11/5.99 thf(f18088,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c5)) | (c5 = (g @ c4 @ c5)) | (c3 = (g @ c5 @ c5)) | (c3 = (g @ c4 @ c5)) | (spl0_13 | ~spl0_276)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17746,f212])).
% 32.11/5.99 thf(f17746,plain,(
% 32.11/5.99 (c2 = c4) | (c5 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (c4 = (g @ c4 @ c5)) | (c3 = (g @ c5 @ c5)) | ~spl0_276),
% 32.11/5.99 inference(superposition,[status(thm)],[f599,f17677])).
% 32.11/5.99 thf(f17677,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ (s @ c5))) | ~spl0_276),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17667])).
% 32.11/5.99 thf(f17667,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c4 @ (s @ c5))) | ~spl0_276),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f12176])).
% 32.11/5.99 thf(f12176,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ (s @ (s @ c5)))) | ~spl0_276),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f12174])).
% 32.11/5.99 thf(f18191,plain,(
% 32.11/5.99 ~spl0_100),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18190])).
% 32.11/5.99 thf(f18190,plain,(
% 32.11/5.99 $false | ~spl0_100),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18189,f36])).
% 32.11/5.99 thf(f36,plain,(
% 32.11/5.99 (c5 != c1)),
% 32.11/5.99 inference(superposition,[status(thm)],[f14,f32])).
% 32.11/5.99 thf(f18189,plain,(
% 32.11/5.99 (c5 = c1) | ~spl0_100),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18184,f58])).
% 32.11/5.99 thf(f58,plain,(
% 32.11/5.99 (c8 != c4)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f57,f30])).
% 32.11/5.99 thf(f57,plain,(
% 32.11/5.99 (c8 != (s @ c3))),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f56,f13])).
% 32.11/5.99 thf(f56,plain,(
% 32.11/5.99 (c8 != (s @ (s @ c2)))),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f51,f25])).
% 32.11/5.99 thf(f51,plain,(
% 32.11/5.99 (c8 != (s @ (s @ (s @ c1))))),
% 32.11/5.99 inference(superposition,[status(thm)],[f24,f27])).
% 32.11/5.99 thf(f24,plain,(
% 32.11/5.99 ( ! [X2 : $i] : (((s @ (s @ (s @ (s @ X2)))) != X2)) )),
% 32.11/5.99 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.99 thf(f18184,plain,(
% 32.11/5.99 (c8 = c4) | (c5 = c1) | ~spl0_100),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f18179])).
% 32.11/5.99 thf(f18179,plain,(
% 32.11/5.99 (c5 != c5) | (c5 = c1) | (c8 = c4) | ~spl0_100),
% 32.11/5.99 inference(superposition,[status(thm)],[f22,f1859])).
% 32.11/5.99 thf(f1859,plain,(
% 32.11/5.99 (c5 = (g @ c4 @ c5)) | ~spl0_100),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1857])).
% 32.11/5.99 thf(f18166,plain,(
% 32.11/5.99 spl0_101 | spl0_100 | spl0_93 | spl0_13 | spl0_31 | ~spl0_235 | ~spl0_276),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f18165,f12174,f9144,f319,f210,f1826,f1857,f1861])).
% 32.11/5.99 thf(f18165,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (c5 = (g @ c4 @ c5)) | (spl0_13 | spl0_31 | ~spl0_235 | ~spl0_276)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18164,f321])).
% 32.11/5.99 thf(f18164,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (c5 = (g @ c4 @ c5)) | (c3 = c4) | (spl0_13 | ~spl0_235 | ~spl0_276)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18106,f9146])).
% 32.11/5.99 thf(f18106,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c5)) | (c5 = (g @ c4 @ c5)) | (c3 = (g @ c4 @ c5)) | (c3 = (g @ c5 @ c5)) | (spl0_13 | ~spl0_276)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17743,f212])).
% 32.11/5.99 thf(f17743,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c5)) | (c3 = (g @ c4 @ c5)) | (c2 = c4) | (c4 = (g @ c4 @ c5)) | (c5 = (g @ c4 @ c5)) | ~spl0_276),
% 32.11/5.99 inference(superposition,[status(thm)],[f17677,f599])).
% 32.11/5.99 thf(f18160,plain,(
% 32.11/5.99 spl0_13 | ~spl0_101 | ~spl0_262),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18159])).
% 32.11/5.99 thf(f18159,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_101 | ~spl0_262)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18158,f212])).
% 32.11/5.99 thf(f18158,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_101 | ~spl0_262)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18157,f11041])).
% 32.11/5.99 thf(f18157,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ c4)) | ~spl0_101),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f18147])).
% 32.11/5.99 thf(f18147,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ c4)) | (c4 != c4) | ~spl0_101),
% 32.11/5.99 inference(superposition,[status(thm)],[f63,f1863])).
% 32.11/5.99 thf(f18098,plain,(
% 32.11/5.99 spl0_268 | spl0_155 | spl0_13 | ~spl0_144 | spl0_164 | spl0_166),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f18097,f2777,f2769,f2620,f210,f2698,f11561])).
% 32.11/5.99 thf(f18097,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c3)) | (c3 = (g @ c3 @ c3)) | (spl0_13 | ~spl0_144 | spl0_164 | spl0_166)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18096,f212])).
% 32.11/5.99 thf(f18096,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c3)) | (c3 = (g @ c3 @ c3)) | (c2 = c4) | (~spl0_144 | spl0_164 | spl0_166)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f18095,f2622])).
% 32.11/5.99 thf(f18095,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c3)) | (c4 = (g @ c2 @ c3)) | (c4 = (g @ c2 @ c4)) | (spl0_164 | spl0_166)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18094,f2770])).
% 32.11/5.99 thf(f2770,plain,(
% 32.11/5.99 (c3 != (g @ c2 @ c3)) | spl0_164),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2769])).
% 32.11/5.99 thf(f18085,plain,(
% 32.11/5.99 spl0_9 | ~spl0_123 | ~spl0_165),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18084])).
% 32.11/5.99 thf(f18084,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_123 | ~spl0_165)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18070,f154])).
% 32.11/5.99 thf(f18070,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_123 | ~spl0_165)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f16430,f2775])).
% 32.11/5.99 thf(f16430,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c2)) | ~spl0_123),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f16421])).
% 32.11/5.99 thf(f16421,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c2 @ c2)) | ~spl0_123),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f2482])).
% 32.11/5.99 thf(f2482,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c2)) | ~spl0_123),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2480])).
% 32.11/5.99 thf(f18049,plain,(
% 32.11/5.99 spl0_13 | ~spl0_144 | ~spl0_263),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f18048])).
% 32.11/5.99 thf(f18048,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_144 | ~spl0_263)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f18032,f212])).
% 32.11/5.99 thf(f18032,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_144 | ~spl0_263)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f2622,f11047])).
% 32.11/5.99 thf(f17933,plain,(
% 32.11/5.99 spl0_50 | spl0_224 | ~spl0_240),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17932])).
% 32.11/5.99 thf(f17932,plain,(
% 32.11/5.99 $false | (spl0_50 | spl0_224 | ~spl0_240)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17931,f7476])).
% 32.11/5.99 thf(f17931,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | (spl0_50 | ~spl0_240)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17930,f480])).
% 32.11/5.99 thf(f480,plain,(
% 32.11/5.99 (c8 != c1) | spl0_50),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f479])).
% 32.11/5.99 thf(f479,definition,(
% 32.11/5.99 spl0_50 <=> (c8 = c1)),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_50])],[avatar_definition])).
% 32.11/5.99 thf(f17930,plain,(
% 32.11/5.99 (c8 = c1) | (c1 = (s @ c5)) | ~spl0_240),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17926])).
% 32.11/5.99 thf(f17926,plain,(
% 32.11/5.99 (c5 != c5) | (c1 = (s @ c5)) | (c8 = c1) | ~spl0_240),
% 32.11/5.99 inference(superposition,[status(thm)],[f22,f9497])).
% 32.11/5.99 thf(f9497,plain,(
% 32.11/5.99 (c5 = (g @ c1 @ (s @ c5))) | ~spl0_240),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f9495])).
% 32.11/5.99 thf(f17886,plain,(
% 32.11/5.99 spl0_9 | ~spl0_122 | ~spl0_144),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17885])).
% 32.11/5.99 thf(f17885,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_122 | ~spl0_144)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17870,f154])).
% 32.11/5.99 thf(f17870,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_122 | ~spl0_144)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f16787,f2622])).
% 32.11/5.99 thf(f16787,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c4)) | ~spl0_122),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f16778])).
% 32.11/5.99 thf(f16778,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c2 @ c4)) | ~spl0_122),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f2476])).
% 32.11/5.99 thf(f17784,plain,(
% 32.11/5.99 spl0_13 | ~spl0_94 | ~spl0_203),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17783])).
% 32.11/5.99 thf(f17783,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_94 | ~spl0_203)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17782,f212])).
% 32.11/5.99 thf(f17782,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_94 | ~spl0_203)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f17781,f1833])).
% 32.11/5.99 thf(f1833,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ c5)) | ~spl0_94),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1831])).
% 32.11/5.99 thf(f17781,plain,(
% 32.11/5.99 (c2 = (g @ c1 @ c5)) | ~spl0_203),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17771])).
% 32.11/5.99 thf(f17771,plain,(
% 32.11/5.99 (c2 = (g @ c1 @ c5)) | (c4 != c4) | ~spl0_203),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f4646])).
% 32.11/5.99 thf(f4646,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ (s @ c5))) | ~spl0_203),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f4644])).
% 32.11/5.99 thf(f17768,plain,(
% 32.11/5.99 spl0_240 | spl0_203 | spl0_31 | spl0_279 | ~spl0_288),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f17767,f14280,f13065,f319,f4644,f9495])).
% 32.11/5.99 thf(f17767,plain,(
% 32.11/5.99 (c5 = (g @ c1 @ (s @ c5))) | (c4 = (g @ c1 @ (s @ c5))) | (spl0_31 | spl0_279 | ~spl0_288)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17766,f321])).
% 32.11/5.99 thf(f17766,plain,(
% 32.11/5.99 (c5 = (g @ c1 @ (s @ c5))) | (c4 = (g @ c1 @ (s @ c5))) | (c3 = c4) | (spl0_279 | ~spl0_288)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f17761,f14282])).
% 32.11/5.99 thf(f14282,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ (s @ c5))) | ~spl0_288),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f14280])).
% 32.11/5.99 thf(f17761,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ (s @ c5))) | (c5 = (g @ c1 @ (s @ c5))) | (c3 = (g @ c2 @ (s @ c5))) | spl0_279),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17758])).
% 32.11/5.99 thf(f17758,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ (s @ c5))) | (c5 = (g @ c1 @ (s @ c5))) | (c4 != c4) | (c3 = (g @ c2 @ (s @ c5))) | spl0_279),
% 32.11/5.99 inference(superposition,[status(thm)],[f13066,f376])).
% 32.11/5.99 thf(f17690,plain,(
% 32.11/5.99 spl0_291 | spl0_31 | ~spl0_272 | spl0_286 | spl0_292 | spl0_293),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f17689,f17136,f17132,f14272,f12101,f319,f14300])).
% 32.11/5.99 thf(f17689,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ (s @ c5))) | (spl0_31 | ~spl0_272 | spl0_286 | spl0_292 | spl0_293)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17688,f14273])).
% 32.11/5.99 thf(f17688,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ (s @ c5))) | (c3 = (g @ c3 @ (s @ c5))) | (spl0_31 | ~spl0_272 | spl0_292 | spl0_293)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17687,f17137])).
% 32.11/5.99 thf(f17687,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ (s @ c5))) | (c4 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c3 @ (s @ c5))) | (spl0_31 | ~spl0_272 | spl0_292)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17686,f321])).
% 32.11/5.99 thf(f17686,plain,(
% 32.11/5.99 (c3 = c4) | (c3 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c4 @ (s @ c5))) | (c4 = (g @ c3 @ (s @ c5))) | (~spl0_272 | spl0_292)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17639,f17133])).
% 32.11/5.99 thf(f17639,plain,(
% 32.11/5.99 (c5 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c3 @ (s @ c5))) | (c3 = c4) | (c4 = (g @ c3 @ (s @ c5))) | (c3 = (g @ c4 @ (s @ c5))) | ~spl0_272),
% 32.11/5.99 inference(superposition,[status(thm)],[f12103,f650])).
% 32.11/5.99 thf(f17680,plain,(
% 32.11/5.99 spl0_24 | ~spl0_276 | ~spl0_291),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17679])).
% 32.11/5.99 thf(f17679,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_276 | ~spl0_291)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17678,f263])).
% 32.11/5.99 thf(f17678,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_276 | ~spl0_291)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f17677,f14302])).
% 32.11/5.99 thf(f17611,plain,(
% 32.11/5.99 spl0_9 | spl0_70 | ~spl0_273),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17610])).
% 32.11/5.99 thf(f17610,plain,(
% 32.11/5.99 $false | (spl0_9 | spl0_70 | ~spl0_273)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17609,f991])).
% 32.11/5.99 thf(f991,plain,(
% 32.11/5.99 (c8 != (s @ (s @ c5))) | spl0_70),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f990])).
% 32.11/5.99 thf(f990,definition,(
% 32.11/5.99 spl0_70 <=> (c8 = (s @ (s @ c5)))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_70])],[avatar_definition])).
% 32.11/5.99 thf(f17609,plain,(
% 32.11/5.99 (c8 = (s @ (s @ c5))) | (spl0_9 | ~spl0_273)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17608,f154])).
% 32.11/5.99 thf(f17608,plain,(
% 32.11/5.99 (c1 = c2) | (c8 = (s @ (s @ c5))) | ~spl0_273),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17601])).
% 32.11/5.99 thf(f17601,plain,(
% 32.11/5.99 (c1 = c2) | (c8 = (s @ (s @ c5))) | (c5 != c5) | ~spl0_273),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f12107])).
% 32.11/5.99 thf(f12107,plain,(
% 32.11/5.99 (c5 = (g @ c2 @ (s @ (s @ c5)))) | ~spl0_273),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f12105])).
% 32.11/5.99 thf(f21,plain,(
% 32.11/5.99 ( ! [X3 : $i,X4 : $i] : ((c5 != (g @ X4 @ X3)) | (c1 = X4) | (c8 = X3)) )),
% 32.11/5.99 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.99 thf(f17573,plain,(
% 32.11/5.99 spl0_3 | ~spl0_271 | ~spl0_279),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17572])).
% 32.11/5.99 thf(f17572,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_271 | ~spl0_279)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17571,f125])).
% 32.11/5.99 thf(f17571,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_271 | ~spl0_279)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f17156,f13067])).
% 32.11/5.99 thf(f17156,plain,(
% 32.11/5.99 (c1 = (g @ c1 @ (s @ (s @ c5)))) | ~spl0_271),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17147])).
% 32.11/5.99 thf(f17147,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c1 @ (s @ (s @ c5)))) | ~spl0_271),
% 32.11/5.99 inference(superposition,[status(thm)],[f73,f12099])).
% 32.11/5.99 thf(f17541,plain,(
% 32.11/5.99 spl0_1 | ~spl0_241 | ~spl0_291),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17540])).
% 32.11/5.99 thf(f17540,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_241 | ~spl0_291)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17539,f117])).
% 32.11/5.99 thf(f17539,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_241 | ~spl0_291)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f10313,f14302])).
% 32.11/5.99 thf(f10313,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ (s @ c5))) | ~spl0_241),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f10305])).
% 32.11/5.99 thf(f10305,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c4 @ (s @ c5))) | ~spl0_241),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f10287])).
% 32.11/5.99 thf(f17360,plain,(
% 32.11/5.99 spl0_13 | ~spl0_97 | ~spl0_288),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17359])).
% 32.11/5.99 thf(f17359,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_97 | ~spl0_288)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17341,f212])).
% 32.11/5.99 thf(f17341,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_97 | ~spl0_288)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f17255,f1846])).
% 32.11/5.99 thf(f17255,plain,(
% 32.11/5.99 (c2 = (g @ c2 @ c5)) | ~spl0_288),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17245])).
% 32.11/5.99 thf(f17245,plain,(
% 32.11/5.99 (c2 = (g @ c2 @ c5)) | (c4 != c4) | ~spl0_288),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f14282])).
% 32.11/5.99 thf(f17331,plain,(
% 32.11/5.99 spl0_224 | spl0_269 | ~spl0_292),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17330])).
% 32.11/5.99 thf(f17330,plain,(
% 32.11/5.99 $false | (spl0_224 | spl0_269 | ~spl0_292)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17329,f11923])).
% 32.11/5.99 thf(f11923,plain,(
% 32.11/5.99 (c8 != c3) | spl0_269),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f11922])).
% 32.11/5.99 thf(f11922,definition,(
% 32.11/5.99 spl0_269 <=> (c8 = c3)),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_269])],[avatar_definition])).
% 32.11/5.99 thf(f17329,plain,(
% 32.11/5.99 (c8 = c3) | (spl0_224 | ~spl0_292)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17328,f7476])).
% 32.11/5.99 thf(f17328,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | (c8 = c3) | ~spl0_292),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17322])).
% 32.11/5.99 thf(f17322,plain,(
% 32.11/5.99 (c5 != c5) | (c8 = c3) | (c1 = (s @ c5)) | ~spl0_292),
% 32.11/5.99 inference(superposition,[status(thm)],[f22,f17134])).
% 32.11/5.99 thf(f17134,plain,(
% 32.11/5.99 (c5 = (g @ c3 @ (s @ c5))) | ~spl0_292),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f17132])).
% 32.11/5.99 thf(f17292,plain,(
% 32.11/5.99 spl0_202 | ~spl0_293),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17291])).
% 32.11/5.99 thf(f17291,plain,(
% 32.11/5.99 $false | (spl0_202 | ~spl0_293)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17290,f4376])).
% 32.11/5.99 thf(f4376,plain,(
% 32.11/5.99 (c2 != (g @ c3 @ c5)) | spl0_202),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f4375])).
% 32.11/5.99 thf(f17290,plain,(
% 32.11/5.99 (c2 = (g @ c3 @ c5)) | ~spl0_293),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17280])).
% 32.11/5.99 thf(f17280,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c3 @ c5)) | ~spl0_293),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f17138])).
% 32.11/5.99 thf(f17138,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ (s @ c5))) | ~spl0_293),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f17136])).
% 32.11/5.99 thf(f17125,plain,(
% 32.11/5.99 spl0_1 | ~spl0_272 | ~spl0_277),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f17124])).
% 32.11/5.99 thf(f17124,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_272 | ~spl0_277)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17123,f117])).
% 32.11/5.99 thf(f17123,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_272 | ~spl0_277)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f17122,f12103])).
% 32.11/5.99 thf(f17122,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ (s @ (s @ c5)))) | ~spl0_277),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17113])).
% 32.11/5.99 thf(f17113,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c3 @ (s @ (s @ c5)))) | ~spl0_277),
% 32.11/5.99 inference(superposition,[status(thm)],[f71,f12180])).
% 32.11/5.99 thf(f17104,plain,(
% 32.11/5.99 spl0_97 | spl0_3 | spl0_90 | spl0_96 | spl0_98 | ~spl0_286),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f17103,f14272,f1848,f1839,f1814,f123,f1844])).
% 32.11/5.99 thf(f17103,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c5)) | (spl0_3 | spl0_90 | spl0_96 | spl0_98 | ~spl0_286)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17102,f125])).
% 32.11/5.99 thf(f17102,plain,(
% 32.11/5.99 (c1 = c4) | (c4 = (g @ c2 @ c5)) | (spl0_90 | spl0_96 | spl0_98 | ~spl0_286)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17101,f1840])).
% 32.11/5.99 thf(f1840,plain,(
% 32.11/5.99 (c3 != (g @ c2 @ c5)) | spl0_96),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1839])).
% 32.11/5.99 thf(f17101,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c5)) | (c1 = c4) | (c4 = (g @ c2 @ c5)) | (spl0_90 | spl0_98 | ~spl0_286)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17100,f1815])).
% 32.11/5.99 thf(f1815,plain,(
% 32.11/5.99 (c3 != (g @ c3 @ c5)) | spl0_90),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1814])).
% 32.11/5.99 thf(f17100,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c5)) | (c3 = (g @ c3 @ c5)) | (c3 = (g @ c2 @ c5)) | (c1 = c4) | (spl0_98 | ~spl0_286)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f17081,f1849])).
% 32.11/5.99 thf(f17081,plain,(
% 32.11/5.99 (c5 = (g @ c2 @ c5)) | (c4 = (g @ c2 @ c5)) | (c3 = (g @ c3 @ c5)) | (c3 = (g @ c2 @ c5)) | (c1 = c4) | ~spl0_286),
% 32.11/5.99 inference(superposition,[status(thm)],[f17062,f701])).
% 32.11/5.99 thf(f17062,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ (s @ c5))) | ~spl0_286),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f17053])).
% 32.11/5.99 thf(f17053,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c2 @ (s @ c5))) | ~spl0_286),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f14274])).
% 32.11/5.99 thf(f16959,plain,(
% 32.11/5.99 spl0_31 | spl0_213 | spl0_214 | spl0_215 | spl0_216 | ~spl0_237),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16958])).
% 32.11/5.99 thf(f16958,plain,(
% 32.11/5.99 $false | (spl0_31 | spl0_213 | spl0_214 | spl0_215 | spl0_216 | ~spl0_237)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16957,f7187])).
% 32.11/5.99 thf(f16957,plain,(
% 32.11/5.99 (c3 = (g @ (s @ c5) @ c3)) | (spl0_31 | spl0_214 | spl0_215 | spl0_216 | ~spl0_237)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16956,f7199])).
% 32.11/5.99 thf(f16956,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ c3)) | (c3 = (g @ (s @ c5) @ c3)) | (spl0_31 | spl0_214 | spl0_215 | ~spl0_237)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16955,f7191])).
% 32.11/5.99 thf(f16955,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c3)) | (c3 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (spl0_31 | spl0_215 | ~spl0_237)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16954,f321])).
% 32.11/5.99 thf(f16954,plain,(
% 32.11/5.99 (c3 = c4) | (c3 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ c3)) | (spl0_215 | ~spl0_237)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16937,f7195])).
% 32.11/5.99 thf(f16937,plain,(
% 32.11/5.99 (c5 = (g @ (s @ c5) @ c3)) | (c3 = c4) | (c3 = (g @ (s @ c5) @ c3)) | (c4 = (g @ (s @ c5) @ c3)) | (c2 = (g @ (s @ c5) @ c3)) | ~spl0_237),
% 32.11/5.99 inference(superposition,[status(thm)],[f112,f9216])).
% 32.11/5.99 thf(f16953,plain,(
% 32.11/5.99 spl0_31 | ~spl0_114 | ~spl0_237),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16952])).
% 32.11/5.99 thf(f16952,plain,(
% 32.11/5.99 $false | (spl0_31 | ~spl0_114 | ~spl0_237)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16929,f321])).
% 32.11/5.99 thf(f16929,plain,(
% 32.11/5.99 (c3 = c4) | (~spl0_114 | ~spl0_237)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f2436,f9216])).
% 32.11/5.99 thf(f2436,plain,(
% 32.11/5.99 (c3 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_114),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2434])).
% 32.11/5.99 thf(f16757,plain,(
% 32.11/5.99 spl0_3 | ~spl0_94 | ~spl0_96),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16756])).
% 32.11/5.99 thf(f16756,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_94 | ~spl0_96)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16740,f125])).
% 32.11/5.99 thf(f16740,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_94 | ~spl0_96)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f4295,f1833])).
% 32.11/5.99 thf(f4295,plain,(
% 32.11/5.99 (c1 = (g @ c1 @ c5)) | ~spl0_96),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4286])).
% 32.11/5.99 thf(f4286,plain,(
% 32.11/5.99 (c1 = (g @ c1 @ c5)) | (c3 != c3) | ~spl0_96),
% 32.11/5.99 inference(superposition,[status(thm)],[f73,f1841])).
% 32.11/5.99 thf(f1841,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c5)) | ~spl0_96),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1839])).
% 32.11/5.99 thf(f16739,plain,(
% 32.11/5.99 spl0_156 | spl0_177 | spl0_262 | spl0_209 | spl0_176),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f16738,f2865,f5040,f11039,f2869,f2702])).
% 32.11/5.99 thf(f16738,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | (c4 = (g @ c4 @ c4)) | (c4 = (g @ c4 @ c3)) | spl0_176),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12525,f2866])).
% 32.11/5.99 thf(f12525,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c4)) | (c5 = (g @ c4 @ c3)) | (c4 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | (c3 = (g @ c4 @ c3))),
% 32.11/5.99 inference(superposition,[status(thm)],[f599,f30])).
% 32.11/5.99 thf(f16732,plain,(
% 32.11/5.99 spl0_142 | spl0_122 | spl0_31 | ~spl0_96 | spl0_168 | spl0_263),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f16731,f11045,f2792,f1839,f319,f2474,f2608])).
% 32.11/5.99 thf(f2792,definition,(
% 32.11/5.99 spl0_168 <=> (c5 = (g @ c2 @ c4))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_168])],[avatar_definition])).
% 32.11/5.99 thf(f16731,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c4)) | (c3 = (g @ c3 @ c4)) | (spl0_31 | ~spl0_96 | spl0_168 | spl0_263)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16730,f321])).
% 32.11/5.99 thf(f16730,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c4)) | (c3 = c4) | (c3 = (g @ c3 @ c4)) | (~spl0_96 | spl0_168 | spl0_263)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f16729,f1841])).
% 32.11/5.99 thf(f16729,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c5)) | (c3 = (g @ c3 @ c4)) | (c3 = (g @ c2 @ c4)) | (spl0_168 | spl0_263)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16728,f11046])).
% 32.11/5.99 thf(f16728,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c4)) | (c4 = (g @ c2 @ c5)) | (c3 = (g @ c3 @ c4)) | (c4 = (g @ c2 @ c4)) | spl0_168),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12581,f2793])).
% 32.11/5.99 thf(f2793,plain,(
% 32.11/5.99 (c5 != (g @ c2 @ c4)) | spl0_168),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2792])).
% 32.11/5.99 thf(f12581,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c4)) | (c4 = (g @ c2 @ c5)) | (c3 = (g @ c2 @ c4)) | (c5 = (g @ c2 @ c4)) | (c4 = (g @ c2 @ c4))),
% 32.11/5.99 inference(superposition,[status(thm)],[f701,f11])).
% 32.11/5.99 thf(f16702,plain,(
% 32.11/5.99 spl0_178 | ~spl0_209),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16701])).
% 32.11/5.99 thf(f16701,plain,(
% 32.11/5.99 $false | (spl0_178 | ~spl0_209)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16698,f2874])).
% 32.11/5.99 thf(f2874,plain,(
% 32.11/5.99 (c2 != (g @ c4 @ c2)) | spl0_178),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2873])).
% 32.11/5.99 thf(f16698,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ c2)) | ~spl0_209),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f16688])).
% 32.11/5.99 thf(f16688,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ c2)) | (c4 != c4) | ~spl0_209),
% 32.11/5.99 inference(superposition,[status(thm)],[f65,f5042])).
% 32.11/5.99 thf(f5042,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c3)) | ~spl0_209),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f5040])).
% 32.11/5.99 thf(f16700,plain,(
% 32.11/5.99 spl0_3 | ~spl0_177 | ~spl0_209),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16699])).
% 32.11/5.99 thf(f16699,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_177 | ~spl0_209)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16682,f125])).
% 32.11/5.99 thf(f16682,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_177 | ~spl0_209)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f13292,f5042])).
% 32.11/5.99 thf(f13292,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c3)) | ~spl0_177),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13284])).
% 32.11/5.99 thf(f13284,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c4 @ c3)) | ~spl0_177),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f2871])).
% 32.11/5.99 thf(f2871,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c3)) | ~spl0_177),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2869])).
% 32.11/5.99 thf(f16652,plain,(
% 32.11/5.99 spl0_1 | ~spl0_170 | ~spl0_223),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16651])).
% 32.11/5.99 thf(f16651,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_170 | ~spl0_223)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16650,f117])).
% 32.11/5.99 thf(f16650,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_170 | ~spl0_223)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f16649,f2804])).
% 32.11/5.99 thf(f2804,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c1)) | ~spl0_170),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2802])).
% 32.11/5.99 thf(f16649,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c1)) | ~spl0_223),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f16641])).
% 32.11/5.99 thf(f16641,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c1)) | (c3 != c3) | ~spl0_223),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f7426])).
% 32.11/5.99 thf(f7426,plain,(
% 32.11/5.99 (c3 = (g @ (s @ c5) @ c1)) | ~spl0_223),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7424])).
% 32.11/5.99 thf(f16552,plain,(
% 32.11/5.99 spl0_3 | ~spl0_136 | ~spl0_259),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16551])).
% 32.11/5.99 thf(f16551,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_136 | ~spl0_259)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16550,f125])).
% 32.11/5.99 thf(f16550,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_136 | ~spl0_259)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f16379,f10748])).
% 32.11/5.99 thf(f16379,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c2)) | ~spl0_136),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f16371])).
% 32.11/5.99 thf(f16371,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c4 @ c2)) | ~spl0_136),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f2563])).
% 32.11/5.99 thf(f16532,plain,(
% 32.11/5.99 spl0_223 | spl0_222 | spl0_1 | ~spl0_30 | spl0_221),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f16531,f7416,f289,f115,f7420,f7424])).
% 32.11/5.99 thf(f16531,plain,(
% 32.11/5.99 (c3 = (g @ (s @ c5) @ c1)) | (c2 = (g @ (s @ c5) @ c1)) | (spl0_1 | ~spl0_30 | spl0_221)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16530,f117])).
% 32.11/5.99 thf(f16530,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c1)) | (c3 = (g @ (s @ c5) @ c1)) | (c1 = c3) | (~spl0_30 | spl0_221)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16529,f7417])).
% 32.11/5.99 thf(f16529,plain,(
% 32.11/5.99 (c5 = (g @ (s @ c5) @ c1)) | (c2 = (g @ (s @ c5) @ c1)) | (c3 = (g @ (s @ c5) @ c1)) | (c1 = c3) | ~spl0_30),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16516,f16])).
% 32.11/5.99 thf(f16516,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ c1)) | (c3 = (g @ (s @ c5) @ c1)) | (c2 = (g @ (s @ c5) @ c1)) | (c5 = (g @ (s @ c5) @ c1)) | (c1 = c3) | ~spl0_30),
% 32.11/5.99 inference(superposition,[status(thm)],[f112,f16363])).
% 32.11/5.99 thf(f16363,plain,(
% 32.11/5.99 (c1 = (g @ (s @ (s @ c5)) @ c1)) | ~spl0_30),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f16353])).
% 32.11/5.99 thf(f16353,plain,(
% 32.11/5.99 (c1 = (g @ (s @ (s @ c5)) @ c1)) | (c3 != c3) | ~spl0_30),
% 32.11/5.99 inference(superposition,[status(thm)],[f83,f291])).
% 32.11/5.99 thf(f291,plain,(
% 32.11/5.99 (c3 = (g @ c8 @ c1)) | ~spl0_30),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f289])).
% 32.11/5.99 thf(f16433,plain,(
% 32.11/5.99 spl0_3 | ~spl0_123 | ~spl0_270),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16432])).
% 32.11/5.99 thf(f16432,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_123 | ~spl0_270)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16431,f125])).
% 32.11/5.99 thf(f16431,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_123 | ~spl0_270)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f16430,f11986])).
% 32.11/5.99 thf(f16402,plain,(
% 32.11/5.99 spl0_146 | ~spl0_204),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16401])).
% 32.11/5.99 thf(f16401,plain,(
% 32.11/5.99 $false | (spl0_146 | ~spl0_204)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16400,f2633])).
% 32.11/5.99 thf(f2633,plain,(
% 32.11/5.99 (c2 != (g @ c3 @ c1)) | spl0_146),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2632])).
% 32.11/5.99 thf(f16400,plain,(
% 32.11/5.99 (c2 = (g @ c3 @ c1)) | ~spl0_204),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f16390])).
% 32.11/5.99 thf(f16390,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c3 @ c1)) | ~spl0_204),
% 32.11/5.99 inference(superposition,[status(thm)],[f66,f4744])).
% 32.11/5.99 thf(f4744,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ c2)) | ~spl0_204),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f4742])).
% 32.11/5.99 thf(f16321,plain,(
% 32.11/5.99 spl0_30 | spl0_13 | ~spl0_27 | spl0_29),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f16320,f285,f275,f210,f289])).
% 32.11/5.99 thf(f275,definition,(
% 32.11/5.99 spl0_27 <=> (c2 = (g @ c8 @ c2))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition])).
% 32.11/5.99 thf(f16320,plain,(
% 32.11/5.99 (c3 = (g @ c8 @ c1)) | (spl0_13 | ~spl0_27 | spl0_29)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16319,f212])).
% 32.11/5.99 thf(f16319,plain,(
% 32.11/5.99 (c2 = c4) | (c3 = (g @ c8 @ c1)) | (~spl0_27 | spl0_29)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f16318,f277])).
% 32.11/5.99 thf(f277,plain,(
% 32.11/5.99 (c2 = (g @ c8 @ c2)) | ~spl0_27),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f275])).
% 32.11/5.99 thf(f16303,plain,(
% 32.11/5.99 spl0_1 | ~spl0_75 | ~spl0_133),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16302])).
% 32.11/5.99 thf(f16302,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_75 | ~spl0_133)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16301,f117])).
% 32.11/5.99 thf(f16301,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_75 | ~spl0_133)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f16212,f1065])).
% 32.11/5.99 thf(f1065,plain,(
% 32.11/5.99 (c3 = (g @ (s @ c5) @ c2)) | ~spl0_75),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1063])).
% 32.11/5.99 thf(f16188,plain,(
% 32.11/5.99 spl0_261 | spl0_133 | spl0_18 | spl0_31 | ~spl0_114 | spl0_132),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f16187,f2533,f2434,f319,f232,f2537,f10938])).
% 32.11/5.99 thf(f16187,plain,(
% 32.11/5.99 (c3 = (g @ (s @ (s @ c5)) @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_18 | spl0_31 | ~spl0_114 | spl0_132)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16186,f321])).
% 32.11/5.99 thf(f16186,plain,(
% 32.11/5.99 (c3 = c4) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ (s @ c5)) @ c2)) | (spl0_18 | ~spl0_114 | spl0_132)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f16185,f2436])).
% 32.11/5.99 thf(f16185,plain,(
% 32.11/5.99 (c3 = (g @ (s @ (s @ c5)) @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c3)) | (spl0_18 | spl0_132)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16125,f2534])).
% 32.11/5.99 thf(f16125,plain,(
% 32.11/5.99 (c4 = (g @ (s @ (s @ c5)) @ c3)) | (c5 = (g @ (s @ (s @ c5)) @ c2)) | (c4 = (g @ (s @ (s @ c5)) @ c2)) | (c3 = (g @ (s @ (s @ c5)) @ c2)) | spl0_18),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16096,f233])).
% 32.11/5.99 thf(f233,plain,(
% 32.11/5.99 (c3 != (g @ c8 @ c2)) | spl0_18),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f232])).
% 32.11/5.99 thf(f16183,plain,(
% 32.11/5.99 spl0_9 | ~spl0_30 | ~spl0_134),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f16182])).
% 32.11/5.99 thf(f16182,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_30 | ~spl0_134)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f16168,f154])).
% 32.11/5.99 thf(f16168,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_30 | ~spl0_134)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f3573,f2543])).
% 32.11/5.99 thf(f3573,plain,(
% 32.11/5.99 (c1 = (g @ (s @ (s @ c5)) @ c1)) | ~spl0_30),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f3567])).
% 32.11/5.99 thf(f3567,plain,(
% 32.11/5.99 (c1 = (g @ (s @ (s @ c5)) @ c1)) | (c3 != c3) | ~spl0_30),
% 32.11/5.99 inference(superposition,[status(thm)],[f83,f291])).
% 32.11/5.99 thf(f16149,plain,(
% 32.11/5.99 spl0_134 | ~spl0_261),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f16148,f10938,f2541])).
% 32.11/5.99 thf(f16148,plain,(
% 32.11/5.99 (c2 = (g @ (s @ (s @ c5)) @ c1)) | ~spl0_261),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f16137])).
% 32.11/5.99 thf(f16137,plain,(
% 32.11/5.99 (c2 = (g @ (s @ (s @ c5)) @ c1)) | (c4 != c4) | ~spl0_261),
% 32.11/5.99 inference(superposition,[status(thm)],[f66,f10940])).
% 32.11/5.99 thf(f10940,plain,(
% 32.11/5.99 (c4 = (g @ (s @ (s @ c5)) @ c2)) | ~spl0_261),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f10938])).
% 32.11/5.99 thf(f15921,plain,(
% 32.11/5.99 spl0_3 | ~spl0_74 | ~spl0_133),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f15920])).
% 32.11/5.99 thf(f15920,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_74 | ~spl0_133)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15919,f125])).
% 32.11/5.99 thf(f15919,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_74 | ~spl0_133)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f15918,f1061])).
% 32.11/5.99 thf(f1061,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ c2)) | ~spl0_74),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1059])).
% 32.11/5.99 thf(f1059,definition,(
% 32.11/5.99 spl0_74 <=> (c4 = (g @ (s @ c5) @ c2))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_74])],[avatar_definition])).
% 32.11/5.99 thf(f15918,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ c2)) | ~spl0_133),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f15910])).
% 32.11/5.99 thf(f15910,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ c2)) | (c3 != c3) | ~spl0_133),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f2539])).
% 32.11/5.99 thf(f15867,plain,(
% 32.11/5.99 spl0_9 | spl0_70 | ~spl0_132),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f15866])).
% 32.11/5.99 thf(f15866,plain,(
% 32.11/5.99 $false | (spl0_9 | spl0_70 | ~spl0_132)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15865,f991])).
% 32.11/5.99 thf(f15865,plain,(
% 32.11/5.99 (c8 = (s @ (s @ c5))) | (spl0_9 | ~spl0_132)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15856,f154])).
% 32.11/5.99 thf(f15856,plain,(
% 32.11/5.99 (c1 = c2) | (c8 = (s @ (s @ c5))) | ~spl0_132),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f15852])).
% 32.11/5.99 thf(f15852,plain,(
% 32.11/5.99 (c1 = c2) | (c8 = (s @ (s @ c5))) | (c5 != c5) | ~spl0_132),
% 32.11/5.99 inference(superposition,[status(thm)],[f22,f2535])).
% 32.11/5.99 thf(f2535,plain,(
% 32.11/5.99 (c5 = (g @ (s @ (s @ c5)) @ c2)) | ~spl0_132),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2533])).
% 32.11/5.99 thf(f15605,plain,(
% 32.11/5.99 spl0_43 | ~spl0_22 | spl0_26 | spl0_28 | spl0_31),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f15604,f319,f279,f271,f251,f428])).
% 32.11/5.99 thf(f15604,plain,(
% 32.11/5.99 (c4 = (g @ c8 @ c3)) | (~spl0_22 | spl0_26 | spl0_28 | spl0_31)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15603,f321])).
% 32.11/5.99 thf(f15603,plain,(
% 32.11/5.99 (c4 = (g @ c8 @ c3)) | (c3 = c4) | (~spl0_22 | spl0_26 | spl0_28)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f15602,f253])).
% 32.11/5.99 thf(f15602,plain,(
% 32.11/5.99 (c4 = (g @ c8 @ c3)) | (c4 = (g @ c8 @ c4)) | (spl0_26 | spl0_28)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15601,f272])).
% 32.11/5.99 thf(f272,plain,(
% 32.11/5.99 (c3 != (g @ c8 @ c3)) | spl0_26),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f271])).
% 32.11/5.99 thf(f15480,plain,(
% 32.11/5.99 ~spl0_18 | spl0_24 | ~spl0_27),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f15479])).
% 32.11/5.99 thf(f15479,plain,(
% 32.11/5.99 $false | (~spl0_18 | spl0_24 | ~spl0_27)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15478,f263])).
% 32.11/5.99 thf(f15478,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_18 | ~spl0_27)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f277,f234])).
% 32.11/5.99 thf(f234,plain,(
% 32.11/5.99 (c3 = (g @ c8 @ c2)) | ~spl0_18),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f232])).
% 32.11/5.99 thf(f15471,plain,(
% 32.11/5.99 ~spl0_28 | spl0_50 | spl0_269),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f15470])).
% 32.11/5.99 thf(f15470,plain,(
% 32.11/5.99 $false | (~spl0_28 | spl0_50 | spl0_269)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15469,f480])).
% 32.11/5.99 thf(f15469,plain,(
% 32.11/5.99 (c8 = c1) | (~spl0_28 | spl0_269)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15468,f11923])).
% 32.11/5.99 thf(f15468,plain,(
% 32.11/5.99 (c8 = c3) | (c8 = c1) | ~spl0_28),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f15463])).
% 32.11/5.99 thf(f15463,plain,(
% 32.11/5.99 (c8 = c3) | (c5 != c5) | (c8 = c1) | ~spl0_28),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f281])).
% 32.11/5.99 thf(f281,plain,(
% 32.11/5.99 (c5 = (g @ c8 @ c3)) | ~spl0_28),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f279])).
% 32.11/5.99 thf(f15016,plain,(
% 32.11/5.99 spl0_3 | ~spl0_269),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f15015])).
% 32.11/5.99 thf(f15015,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_269)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f15014,f125])).
% 32.11/5.99 thf(f15014,plain,(
% 32.11/5.99 (c1 = c4) | ~spl0_269),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f14928,f30])).
% 32.11/5.99 thf(f14928,plain,(
% 32.11/5.99 (c1 = (s @ c3)) | ~spl0_269),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f27,f11924])).
% 32.11/5.99 thf(f11924,plain,(
% 32.11/5.99 (c8 = c3) | ~spl0_269),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f11922])).
% 32.11/5.99 thf(f14915,plain,(
% 32.11/5.99 spl0_269 | ~spl0_215 | spl0_224),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f14914,f7475,f7194,f11922])).
% 32.11/5.99 thf(f14914,plain,(
% 32.11/5.99 (c8 = c3) | (~spl0_215 | spl0_224)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f14913,f7476])).
% 32.11/5.99 thf(f14913,plain,(
% 32.11/5.99 (c8 = c3) | (c1 = (s @ c5)) | ~spl0_215),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f14906])).
% 32.11/5.99 thf(f14906,plain,(
% 32.11/5.99 (c8 = c3) | (c5 != c5) | (c1 = (s @ c5)) | ~spl0_215),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f7196])).
% 32.11/5.99 thf(f7196,plain,(
% 32.11/5.99 (c5 = (g @ (s @ c5) @ c3)) | ~spl0_215),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7194])).
% 32.11/5.99 thf(f14868,plain,(
% 32.11/5.99 spl0_13 | ~spl0_103 | ~spl0_105),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f14867])).
% 32.11/5.99 thf(f14867,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_103 | ~spl0_105)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f14850,f212])).
% 32.11/5.99 thf(f14850,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_103 | ~spl0_105)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f2234,f2226])).
% 32.11/5.99 thf(f2234,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c4)) | ~spl0_105),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2232])).
% 32.11/5.99 thf(f2232,definition,(
% 32.11/5.99 spl0_105 <=> (c2 = (g @ (s @ c5) @ c4))),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_105])],[avatar_definition])).
% 32.11/5.99 thf(f14808,plain,(
% 32.11/5.99 spl0_13 | ~spl0_74 | ~spl0_216),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f14807])).
% 32.11/5.99 thf(f14807,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_74 | ~spl0_216)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f14806,f212])).
% 32.11/5.99 thf(f14806,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_74 | ~spl0_216)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f14805,f1061])).
% 32.11/5.99 thf(f14805,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c2)) | ~spl0_216),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f14795])).
% 32.11/5.99 thf(f14795,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c2)) | (c4 != c4) | ~spl0_216),
% 32.11/5.99 inference(superposition,[status(thm)],[f65,f7200])).
% 32.11/5.99 thf(f14643,plain,(
% 32.11/5.99 spl0_9 | ~spl0_223 | ~spl0_278),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f14642])).
% 32.11/5.99 thf(f14642,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_223 | ~spl0_278)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f14628,f154])).
% 32.11/5.99 thf(f14628,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_223 | ~spl0_278)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f13531,f12786])).
% 32.11/5.99 thf(f12786,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c1)) | ~spl0_278),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f12784])).
% 32.11/5.99 thf(f13531,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c1)) | ~spl0_223),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13523])).
% 32.11/5.99 thf(f13523,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c5 @ c1)) | ~spl0_223),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f7426])).
% 32.11/5.99 thf(f14605,plain,(
% 32.11/5.99 spl0_1 | ~spl0_177 | ~spl0_213),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f14604])).
% 32.11/5.99 thf(f14604,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_177 | ~spl0_213)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f14603,f117])).
% 32.11/5.99 thf(f14603,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_177 | ~spl0_213)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f14602,f2871])).
% 32.11/5.99 thf(f14602,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c3)) | ~spl0_213),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f14594])).
% 32.11/5.99 thf(f14594,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c3)) | (c3 != c3) | ~spl0_213),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f7188])).
% 32.11/5.99 thf(f14534,plain,(
% 32.11/5.99 spl0_105 | ~spl0_110),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f14528,f2412,f2232])).
% 32.11/5.99 thf(f14528,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c4)) | ~spl0_110),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f14518])).
% 32.11/5.99 thf(f14518,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c4)) | (c4 != c4) | ~spl0_110),
% 32.11/5.99 inference(superposition,[status(thm)],[f63,f2414])).
% 32.11/5.99 thf(f2414,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ c5)) | ~spl0_110),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2412])).
% 32.11/5.99 thf(f14487,plain,(
% 32.11/5.99 spl0_3 | ~spl0_109 | ~spl0_235),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f14486])).
% 32.11/5.99 thf(f14486,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_109 | ~spl0_235)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f14485,f125])).
% 32.11/5.99 thf(f14485,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_109 | ~spl0_235)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f14484,f9146])).
% 32.11/5.99 thf(f14484,plain,(
% 32.11/5.99 (c1 = (g @ c5 @ c5)) | ~spl0_109),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f14476])).
% 32.11/5.99 thf(f14476,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c5 @ c5)) | ~spl0_109),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f2410])).
% 32.11/5.99 thf(f14167,plain,(
% 32.11/5.99 spl0_269 | ~spl0_224),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f14166,f7475,f11922])).
% 32.11/5.99 thf(f14166,plain,(
% 32.11/5.99 (c8 = c3) | ~spl0_224),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f14165,f13])).
% 32.11/5.99 thf(f14165,plain,(
% 32.11/5.99 (c8 = (s @ c2)) | ~spl0_224),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f14053,f25])).
% 32.11/5.99 thf(f14053,plain,(
% 32.11/5.99 (c8 = (s @ (s @ c1))) | ~spl0_224),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f79,f7477])).
% 32.11/5.99 thf(f7477,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | ~spl0_224),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7475])).
% 32.11/5.99 thf(f14050,plain,(
% 32.11/5.99 ~spl0_111 | spl0_212),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f14049])).
% 32.11/5.99 thf(f14049,plain,(
% 32.11/5.99 $false | (~spl0_111 | spl0_212)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f14048,f6350])).
% 32.11/5.99 thf(f14048,plain,(
% 32.11/5.99 (c8 = c5) | ~spl0_111),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f14039,f36])).
% 32.11/5.99 thf(f14039,plain,(
% 32.11/5.99 (c5 = c1) | (c8 = c5) | ~spl0_111),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f14034])).
% 32.11/5.99 thf(f14034,plain,(
% 32.11/5.99 (c5 = c1) | (c5 != c5) | (c8 = c5) | ~spl0_111),
% 32.11/5.99 inference(superposition,[status(thm)],[f20,f2418])).
% 32.11/5.99 thf(f2418,plain,(
% 32.11/5.99 (c5 = (g @ (s @ c5) @ c5)) | ~spl0_111),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2416])).
% 32.11/5.99 thf(f20,plain,(
% 32.11/5.99 ( ! [X3 : $i,X4 : $i] : ((c5 != (g @ X4 @ X3)) | (c8 = X3) | (c1 = X3)) )),
% 32.11/5.99 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.99 thf(f14019,plain,(
% 32.11/5.99 spl0_3 | ~spl0_108 | ~spl0_285),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f14018])).
% 32.11/5.99 thf(f14018,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_108 | ~spl0_285)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f14017,f125])).
% 32.11/5.99 thf(f14017,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_108 | ~spl0_285)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f14016,f9136])).
% 32.11/5.99 thf(f9136,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ (s @ c5))) | ~spl0_108),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f9129])).
% 32.11/5.99 thf(f9129,plain,(
% 32.11/5.99 (c2 != c2) | (c4 = (g @ (s @ c5) @ (s @ c5))) | ~spl0_108),
% 32.11/5.99 inference(superposition,[status(thm)],[f9,f2406])).
% 32.11/5.99 thf(f2406,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c5)) | ~spl0_108),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2404])).
% 32.11/5.99 thf(f14016,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ (s @ c5))) | ~spl0_285),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f14008])).
% 32.11/5.99 thf(f14008,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ (s @ c5))) | (c3 != c3) | ~spl0_285),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f13897])).
% 32.11/5.99 thf(f13897,plain,(
% 32.11/5.99 (c3 = (g @ (s @ (s @ c5)) @ (s @ c5))) | ~spl0_285),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f13895])).
% 32.11/5.99 thf(f13990,plain,(
% 32.11/5.99 spl0_196 | ~spl0_283),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f13989,f13887,f4014])).
% 32.11/5.99 thf(f13989,plain,(
% 32.11/5.99 (c2 = (g @ (s @ (s @ c5)) @ c5)) | ~spl0_283),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13978])).
% 32.11/5.99 thf(f13978,plain,(
% 32.11/5.99 (c2 = (g @ (s @ (s @ c5)) @ c5)) | (c4 != c4) | ~spl0_283),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f13889])).
% 32.11/5.99 thf(f13889,plain,(
% 32.11/5.99 (c4 = (g @ (s @ (s @ c5)) @ (s @ c5))) | ~spl0_283),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f13887])).
% 32.11/5.99 thf(f13970,plain,(
% 32.11/5.99 spl0_224 | spl0_70 | ~spl0_284),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f13969,f13891,f990,f7475])).
% 32.11/5.99 thf(f13969,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | (spl0_70 | ~spl0_284)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13968,f991])).
% 32.11/5.99 thf(f13968,plain,(
% 32.11/5.99 (c8 = (s @ (s @ c5))) | (c1 = (s @ c5)) | ~spl0_284),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13962])).
% 32.11/5.99 thf(f13962,plain,(
% 32.11/5.99 (c5 != c5) | (c1 = (s @ c5)) | (c8 = (s @ (s @ c5))) | ~spl0_284),
% 32.11/5.99 inference(superposition,[status(thm)],[f22,f13893])).
% 32.11/5.99 thf(f13893,plain,(
% 32.11/5.99 (c5 = (g @ (s @ (s @ c5)) @ (s @ c5))) | ~spl0_284),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f13891])).
% 32.11/5.99 thf(f13782,plain,(
% 32.11/5.99 spl0_24 | ~spl0_46 | ~spl0_73),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13781])).
% 32.11/5.99 thf(f13781,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_46 | ~spl0_73)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13780,f263])).
% 32.11/5.99 thf(f13780,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_46 | ~spl0_73)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f13779,f1006])).
% 32.11/5.99 thf(f13764,plain,(
% 32.11/5.99 spl0_9 | ~spl0_241 | ~spl0_276),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13763])).
% 32.11/5.99 thf(f13763,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_241 | ~spl0_276)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13749,f154])).
% 32.11/5.99 thf(f13749,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_241 | ~spl0_276)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f10313,f13727])).
% 32.11/5.99 thf(f13727,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ (s @ c5))) | ~spl0_276),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13717])).
% 32.11/5.99 thf(f13717,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ (s @ c5))) | (c4 != c4) | ~spl0_276),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f12176])).
% 32.11/5.99 thf(f13730,plain,(
% 32.11/5.99 spl0_9 | ~spl0_47 | ~spl0_201),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13729])).
% 32.11/5.99 thf(f13729,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_47 | ~spl0_201)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13728,f154])).
% 32.11/5.99 thf(f13728,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_47 | ~spl0_201)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f5274,f4353])).
% 32.11/5.99 thf(f5274,plain,(
% 32.11/5.99 (c1 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | ~spl0_47),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f5265])).
% 32.11/5.99 thf(f5265,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ (s @ (s @ c5)) @ (s @ (s @ c5)))) | ~spl0_47),
% 32.11/5.99 inference(superposition,[status(thm)],[f83,f451])).
% 32.11/5.99 thf(f13702,plain,(
% 32.11/5.99 spl0_3 | ~spl0_275),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13701])).
% 32.11/5.99 thf(f13701,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_275)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13700,f58])).
% 32.11/5.99 thf(f13700,plain,(
% 32.11/5.99 (c8 = c4) | (spl0_3 | ~spl0_275)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13692,f125])).
% 32.11/5.99 thf(f13692,plain,(
% 32.11/5.99 (c1 = c4) | (c8 = c4) | ~spl0_275),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13689])).
% 32.11/5.99 thf(f13689,plain,(
% 32.11/5.99 (c1 = c4) | (c5 != c5) | (c8 = c4) | ~spl0_275),
% 32.11/5.99 inference(superposition,[status(thm)],[f23,f12172])).
% 32.11/5.99 thf(f12172,plain,(
% 32.11/5.99 (c5 = (g @ c4 @ (s @ (s @ c5)))) | ~spl0_275),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f12170])).
% 32.11/5.99 thf(f23,plain,(
% 32.11/5.99 ( ! [X3 : $i,X4 : $i] : ((c5 != (g @ X4 @ X3)) | (c1 = X4) | (c8 = X4)) )),
% 32.11/5.99 inference(cnf_transformation,[status(thm)],[f8])).
% 32.11/5.99 thf(f13675,plain,(
% 32.11/5.99 spl0_1 | ~spl0_230 | ~spl0_245),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13674])).
% 32.11/5.99 thf(f13674,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_230 | ~spl0_245)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13673,f117])).
% 32.11/5.99 thf(f13673,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_230 | ~spl0_245)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f13643,f10345])).
% 32.11/5.99 thf(f13601,plain,(
% 32.11/5.99 spl0_24 | ~spl0_239 | ~spl0_274),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13600])).
% 32.11/5.99 thf(f13600,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_239 | ~spl0_274)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13599,f263])).
% 32.11/5.99 thf(f13599,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_239 | ~spl0_274)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f13598,f9493])).
% 32.11/5.99 thf(f13598,plain,(
% 32.11/5.99 (c2 = (g @ c2 @ (s @ c5))) | ~spl0_274),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13588])).
% 32.11/5.99 thf(f13588,plain,(
% 32.11/5.99 (c2 = (g @ c2 @ (s @ c5))) | (c4 != c4) | ~spl0_274),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f12111])).
% 32.11/5.99 thf(f13487,plain,(
% 32.11/5.99 spl0_103 | ~spl0_214),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13486])).
% 32.11/5.99 thf(f13486,plain,(
% 32.11/5.99 $false | (spl0_103 | ~spl0_214)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13485,f2225])).
% 32.11/5.99 thf(f2225,plain,(
% 32.11/5.99 (c4 != (g @ (s @ c5) @ c4)) | spl0_103),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2224])).
% 32.11/5.99 thf(f13485,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ c4)) | ~spl0_214),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f13482,f30])).
% 32.11/5.99 thf(f13482,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ (s @ c3))) | ~spl0_214),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13475])).
% 32.11/5.99 thf(f13475,plain,(
% 32.11/5.99 (c2 != c2) | (c4 = (g @ (s @ c5) @ (s @ c3))) | ~spl0_214),
% 32.11/5.99 inference(superposition,[status(thm)],[f9,f7192])).
% 32.11/5.99 thf(f7192,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c3)) | ~spl0_214),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7190])).
% 32.11/5.99 thf(f13448,plain,(
% 32.11/5.99 spl0_227 | spl0_228 | spl0_24 | ~spl0_105 | spl0_163 | spl0_226),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f13447,f7489,f2758,f2232,f261,f7497,f7493])).
% 32.11/5.99 thf(f13447,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c4)) | (c5 = (g @ c5 @ c4)) | (spl0_24 | ~spl0_105 | spl0_163 | spl0_226)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13446,f2759])).
% 32.11/5.99 thf(f2759,plain,(
% 32.11/5.99 (c3 != (g @ c5 @ c4)) | spl0_163),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2758])).
% 32.11/5.99 thf(f13446,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c4)) | (c2 = (g @ c5 @ c4)) | (c3 = (g @ c5 @ c4)) | (spl0_24 | ~spl0_105 | spl0_226)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13445,f7490])).
% 32.11/5.99 thf(f7490,plain,(
% 32.11/5.99 (c4 != (g @ c5 @ c4)) | spl0_226),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7489])).
% 32.11/5.99 thf(f13445,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ c4)) | (c5 = (g @ c5 @ c4)) | (c2 = (g @ c5 @ c4)) | (c3 = (g @ c5 @ c4)) | (spl0_24 | ~spl0_105)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13421,f263])).
% 32.11/5.99 thf(f13421,plain,(
% 32.11/5.99 (c3 = c2) | (c2 = (g @ c5 @ c4)) | (c5 = (g @ c5 @ c4)) | (c4 = (g @ c5 @ c4)) | (c3 = (g @ c5 @ c4)) | ~spl0_105),
% 32.11/5.99 inference(superposition,[status(thm)],[f2234,f112])).
% 32.11/5.99 thf(f13438,plain,(
% 32.11/5.99 spl0_9 | ~spl0_105 | ~spl0_152),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13437])).
% 32.11/5.99 thf(f13437,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_105 | ~spl0_152)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13420,f154])).
% 32.11/5.99 thf(f13420,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_105 | ~spl0_152)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f10220,f2234])).
% 32.11/5.99 thf(f10220,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ c4)) | ~spl0_152),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f10212])).
% 32.11/5.99 thf(f10212,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ c4)) | (c3 != c3) | ~spl0_152),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f2683])).
% 32.11/5.99 thf(f13320,plain,(
% 32.11/5.99 spl0_31 | ~spl0_137 | ~spl0_259),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13319])).
% 32.11/5.99 thf(f13319,plain,(
% 32.11/5.99 $false | (spl0_31 | ~spl0_137 | ~spl0_259)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13305,f321])).
% 32.11/5.99 thf(f13305,plain,(
% 32.11/5.99 (c3 = c4) | (~spl0_137 | ~spl0_259)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f2567,f10748])).
% 32.11/5.99 thf(f2567,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c2)) | ~spl0_137),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2565])).
% 32.11/5.99 thf(f13295,plain,(
% 32.11/5.99 spl0_9 | ~spl0_162 | ~spl0_177),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13294])).
% 32.11/5.99 thf(f13294,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_162 | ~spl0_177)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13293,f154])).
% 32.11/5.99 thf(f13293,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_162 | ~spl0_177)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f13292,f2756])).
% 32.11/5.99 thf(f13239,plain,(
% 32.11/5.99 spl0_206 | ~spl0_226),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f12998,f7489,f4765])).
% 32.11/5.99 thf(f12998,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c3)) | ~spl0_226),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f12989])).
% 32.11/5.99 thf(f12989,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c5 @ c3)) | ~spl0_226),
% 32.11/5.99 inference(superposition,[status(thm)],[f64,f7491])).
% 32.11/5.99 thf(f7491,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ c4)) | ~spl0_226),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7489])).
% 32.11/5.99 thf(f13238,plain,(
% 32.11/5.99 spl0_156 | spl0_177 | spl0_31 | ~spl0_119 | spl0_176 | spl0_209),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f13237,f5040,f2865,f2462,f319,f2869,f2702])).
% 32.11/5.99 thf(f13237,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | (spl0_31 | ~spl0_119 | spl0_176 | spl0_209)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13236,f321])).
% 32.11/5.99 thf(f13236,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c3)) | (c3 = (g @ c4 @ c3)) | (c3 = c4) | (~spl0_119 | spl0_176 | spl0_209)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f13226,f2464])).
% 32.11/5.99 thf(f2464,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c4)) | ~spl0_119),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2462])).
% 32.11/5.99 thf(f13226,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | (c4 = (g @ c4 @ c4)) | (spl0_176 | spl0_209)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13225,f2866])).
% 32.11/5.99 thf(f13225,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c4)) | (c5 = (g @ c4 @ c3)) | (c3 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | spl0_209),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12525,f5041])).
% 32.11/5.99 thf(f5041,plain,(
% 32.11/5.99 (c4 != (g @ c4 @ c3)) | spl0_209),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f5040])).
% 32.11/5.99 thf(f13235,plain,(
% 32.11/5.99 spl0_156 | spl0_24 | spl0_31 | ~spl0_119 | spl0_176 | ~spl0_206 | spl0_209),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f13234,f5040,f4765,f2865,f2462,f319,f261,f2702])).
% 32.11/5.99 thf(f13234,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c3)) | (spl0_24 | spl0_31 | ~spl0_119 | spl0_176 | ~spl0_206 | spl0_209)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13233,f321])).
% 32.11/5.99 thf(f13233,plain,(
% 32.11/5.99 (c3 = c4) | (c3 = (g @ c4 @ c3)) | (spl0_24 | ~spl0_119 | spl0_176 | ~spl0_206 | spl0_209)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f13232,f2464])).
% 32.11/5.99 thf(f13232,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c4)) | (c3 = (g @ c4 @ c3)) | (spl0_24 | spl0_176 | ~spl0_206 | spl0_209)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13231,f263])).
% 32.11/5.99 thf(f13231,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c4)) | (c3 = (g @ c4 @ c3)) | (c3 = c2) | (spl0_176 | ~spl0_206 | spl0_209)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f13226,f4767])).
% 32.11/5.99 thf(f13196,plain,(
% 32.11/5.99 spl0_269 | spl0_9 | ~spl0_166),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f13195,f2777,f152,f11922])).
% 32.11/5.99 thf(f13195,plain,(
% 32.11/5.99 (c8 = c3) | (spl0_9 | ~spl0_166)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13194,f154])).
% 32.11/5.99 thf(f13194,plain,(
% 32.11/5.99 (c1 = c2) | (c8 = c3) | ~spl0_166),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13187])).
% 32.11/5.99 thf(f13187,plain,(
% 32.11/5.99 (c5 != c5) | (c1 = c2) | (c8 = c3) | ~spl0_166),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f2779])).
% 32.11/5.99 thf(f2779,plain,(
% 32.11/5.99 (c5 = (g @ c2 @ c3)) | ~spl0_166),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2777])).
% 32.11/5.99 thf(f13170,plain,(
% 32.11/5.99 spl0_3 | ~spl0_164 | ~spl0_207),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13169])).
% 32.11/5.99 thf(f13169,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_164 | ~spl0_207)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13153,f125])).
% 32.11/5.99 thf(f13153,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_164 | ~spl0_207)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f11977,f4899])).
% 32.11/5.99 thf(f11977,plain,(
% 32.11/5.99 (c1 = (g @ c1 @ c3)) | ~spl0_164),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f11968])).
% 32.11/5.99 thf(f11968,plain,(
% 32.11/5.99 (c1 = (g @ c1 @ c3)) | (c3 != c3) | ~spl0_164),
% 32.11/5.99 inference(superposition,[status(thm)],[f73,f2771])).
% 32.11/5.99 thf(f2771,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c3)) | ~spl0_164),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2769])).
% 32.11/5.99 thf(f13033,plain,(
% 32.11/5.99 spl0_148 | spl0_171 | spl0_31 | ~spl0_137 | spl0_170),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f13032,f2802,f2565,f319,f2806,f2644])).
% 32.11/5.99 thf(f13032,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c1)) | (c5 = (g @ c4 @ c1)) | (spl0_31 | ~spl0_137 | spl0_170)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13031,f321])).
% 32.11/5.99 thf(f13031,plain,(
% 32.11/5.99 (c5 = (g @ c4 @ c1)) | (c3 = (g @ c4 @ c1)) | (c3 = c4) | (~spl0_137 | spl0_170)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f13030,f2567])).
% 32.11/5.99 thf(f13030,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c2)) | (c5 = (g @ c4 @ c1)) | (c3 = (g @ c4 @ c1)) | spl0_170),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12807,f2803])).
% 32.11/5.99 thf(f2803,plain,(
% 32.11/5.99 (c3 != (g @ c5 @ c1)) | spl0_170),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2802])).
% 32.11/5.99 thf(f13021,plain,(
% 32.11/5.99 spl0_3 | ~spl0_171),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f13020])).
% 32.11/5.99 thf(f13020,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_171)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13019,f58])).
% 32.11/5.99 thf(f13019,plain,(
% 32.11/5.99 (c8 = c4) | (spl0_3 | ~spl0_171)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f13018,f125])).
% 32.11/5.99 thf(f13018,plain,(
% 32.11/5.99 (c1 = c4) | (c8 = c4) | ~spl0_171),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f13015])).
% 32.11/5.99 thf(f13015,plain,(
% 32.11/5.99 (c8 = c4) | (c5 != c5) | (c1 = c4) | ~spl0_171),
% 32.11/5.99 inference(superposition,[status(thm)],[f23,f2808])).
% 32.11/5.99 thf(f2808,plain,(
% 32.11/5.99 (c5 = (g @ c4 @ c1)) | ~spl0_171),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2806])).
% 32.11/5.99 thf(f12793,plain,(
% 32.11/5.99 spl0_219 | spl0_217 | spl0_31 | ~spl0_74 | spl0_136 | spl0_218),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f12792,f7232,f2561,f1059,f319,f7228,f7236])).
% 32.11/5.99 thf(f12792,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c2)) | (c4 = (g @ c5 @ c2)) | (spl0_31 | ~spl0_74 | spl0_136 | spl0_218)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12791,f321])).
% 32.11/5.99 thf(f12791,plain,(
% 32.11/5.99 (c3 = c4) | (c4 = (g @ c5 @ c2)) | (c2 = (g @ c5 @ c2)) | (~spl0_74 | spl0_136 | spl0_218)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12790,f7233])).
% 32.11/5.99 thf(f12790,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c2)) | (c3 = c4) | (c4 = (g @ c5 @ c2)) | (c2 = (g @ c5 @ c2)) | (~spl0_74 | spl0_136)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f9787,f2562])).
% 32.11/5.99 thf(f9787,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c2)) | (c4 = (g @ c5 @ c2)) | (c3 = (g @ c5 @ c2)) | (c5 = (g @ c5 @ c2)) | (c3 = c4) | ~spl0_74),
% 32.11/5.99 inference(superposition,[status(thm)],[f112,f1061])).
% 32.11/5.99 thf(f12759,plain,(
% 32.11/5.99 spl0_121 | ~spl0_264),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f12758])).
% 32.11/5.99 thf(f12758,plain,(
% 32.11/5.99 $false | (spl0_121 | ~spl0_264)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12757,f2471])).
% 32.11/5.99 thf(f2471,plain,(
% 32.11/5.99 (c2 != (g @ c3 @ c3)) | spl0_121),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2470])).
% 32.11/5.99 thf(f12757,plain,(
% 32.11/5.99 (c2 = (g @ c3 @ c3)) | ~spl0_264),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f12746])).
% 32.11/5.99 thf(f12746,plain,(
% 32.11/5.99 (c2 = (g @ c3 @ c3)) | (c4 != c4) | ~spl0_264),
% 32.11/5.99 inference(superposition,[status(thm)],[f64,f11057])).
% 32.11/5.99 thf(f11057,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ c4)) | ~spl0_264),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f11055])).
% 32.11/5.99 thf(f12716,plain,(
% 32.11/5.99 ~spl0_228),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f12715])).
% 32.11/5.99 thf(f12715,plain,(
% 32.11/5.99 $false | ~spl0_228),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12714,f36])).
% 32.11/5.99 thf(f12714,plain,(
% 32.11/5.99 (c5 = c1) | ~spl0_228),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12701,f58])).
% 32.11/5.99 thf(f12701,plain,(
% 32.11/5.99 (c8 = c4) | (c5 = c1) | ~spl0_228),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f12697])).
% 32.11/5.99 thf(f12697,plain,(
% 32.11/5.99 (c8 = c4) | (c5 != c5) | (c5 = c1) | ~spl0_228),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f7499])).
% 32.11/5.99 thf(f7499,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c4)) | ~spl0_228),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7497])).
% 32.11/5.99 thf(f12684,plain,(
% 32.11/5.99 spl0_13 | ~spl0_220 | ~spl0_226),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f12683])).
% 32.11/5.99 thf(f12683,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_220 | ~spl0_226)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12682,f212])).
% 32.11/5.99 thf(f12682,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_220 | ~spl0_226)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f12681,f7266])).
% 32.11/5.99 thf(f12681,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c3)) | ~spl0_226),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f12672])).
% 32.11/5.99 thf(f12672,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c3)) | (c4 != c4) | ~spl0_226),
% 32.11/5.99 inference(superposition,[status(thm)],[f64,f7491])).
% 32.11/5.99 thf(f12563,plain,(
% 32.11/5.99 spl0_31 | ~spl0_124 | ~spl0_270),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f12562])).
% 32.11/5.99 thf(f12562,plain,(
% 32.11/5.99 $false | (spl0_31 | ~spl0_124 | ~spl0_270)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12548,f321])).
% 32.11/5.99 thf(f12548,plain,(
% 32.11/5.99 (c3 = c4) | (~spl0_124 | ~spl0_270)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f2486,f11986])).
% 32.11/5.99 thf(f2486,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c2)) | ~spl0_124),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2484])).
% 32.11/5.99 thf(f12393,plain,(
% 32.11/5.99 spl0_143 | ~spl0_265),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f12392])).
% 32.11/5.99 thf(f12392,plain,(
% 32.11/5.99 $false | (spl0_143 | ~spl0_265)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12391,f2613])).
% 32.11/5.99 thf(f2613,plain,(
% 32.11/5.99 (c2 != (g @ c1 @ c3)) | spl0_143),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2612])).
% 32.11/5.99 thf(f12391,plain,(
% 32.11/5.99 (c2 = (g @ c1 @ c3)) | ~spl0_265),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f12381])).
% 32.11/5.99 thf(f12381,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c1 @ c3)) | ~spl0_265),
% 32.11/5.99 inference(superposition,[status(thm)],[f64,f11063])).
% 32.11/5.99 thf(f11063,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ c4)) | ~spl0_265),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f11061])).
% 32.11/5.99 thf(f12247,plain,(
% 32.11/5.99 spl0_3 | ~spl0_15 | ~spl0_266),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f12246])).
% 32.11/5.99 thf(f12246,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_15 | ~spl0_266)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12224,f125])).
% 32.11/5.99 thf(f12224,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_15 | ~spl0_266)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f3572,f11104])).
% 32.11/5.99 thf(f12208,plain,(
% 32.11/5.99 spl0_209 | spl0_156 | spl0_31 | spl0_162 | spl0_176 | ~spl0_220),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f12207,f7264,f2865,f2754,f319,f2702,f5040])).
% 32.11/5.99 thf(f12207,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c3)) | (c3 = (g @ c4 @ c3)) | (spl0_31 | spl0_162 | spl0_176 | ~spl0_220)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12206,f321])).
% 32.11/5.99 thf(f12206,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c3)) | (c3 = (g @ c4 @ c3)) | (c3 = c4) | (spl0_162 | spl0_176 | ~spl0_220)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f12205,f7266])).
% 32.11/5.99 thf(f12205,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c3)) | (c3 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | (spl0_162 | spl0_176)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f11864,f2866])).
% 32.11/5.99 thf(f11864,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c3)) | (c3 = (g @ c4 @ c3)) | (c5 = (g @ c4 @ c3)) | (c4 = (g @ c4 @ c3)) | spl0_162),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f11862])).
% 32.11/5.99 thf(f11862,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c3)) | (c2 != c2) | (c5 = (g @ c4 @ c3)) | (c3 = (g @ c5 @ c3)) | (c4 = (g @ c4 @ c3)) | spl0_162),
% 32.11/5.99 inference(superposition,[status(thm)],[f2755,f293])).
% 32.11/5.99 thf(f12200,plain,(
% 32.11/5.99 spl0_24 | ~spl0_137 | ~spl0_209),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f12199])).
% 32.11/5.99 thf(f12199,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_137 | ~spl0_209)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12198,f263])).
% 32.11/5.99 thf(f12198,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_137 | ~spl0_209)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f12197,f2567])).
% 32.11/5.99 thf(f12197,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ c2)) | ~spl0_209),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f12187])).
% 32.11/5.99 thf(f12187,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ c2)) | (c4 != c4) | ~spl0_209),
% 32.11/5.99 inference(superposition,[status(thm)],[f65,f5042])).
% 32.11/5.99 thf(f12147,plain,(
% 32.11/5.99 spl0_31 | ~spl0_53 | ~spl0_54),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f12146])).
% 32.11/5.99 thf(f12146,plain,(
% 32.11/5.99 $false | (spl0_31 | ~spl0_53 | ~spl0_54)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12130,f321])).
% 32.11/5.99 thf(f12130,plain,(
% 32.11/5.99 (c3 = c4) | (~spl0_53 | ~spl0_54)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f611,f615])).
% 32.11/5.99 thf(f611,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c8)) | ~spl0_53),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f609])).
% 32.11/5.99 thf(f12129,plain,(
% 32.11/5.99 spl0_54 | ~spl0_182),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f12126,f2949,f613])).
% 32.11/5.99 thf(f12126,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ c8)) | ~spl0_182),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f12125,f79])).
% 32.11/5.99 thf(f12125,plain,(
% 32.11/5.99 (c4 = (g @ c4 @ (s @ (s @ (s @ c5))))) | ~spl0_182),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f12118])).
% 32.11/5.99 thf(f12118,plain,(
% 32.11/5.99 (c2 != c2) | (c4 = (g @ c4 @ (s @ (s @ (s @ c5))))) | ~spl0_182),
% 32.11/5.99 inference(superposition,[status(thm)],[f9,f2951])).
% 32.11/5.99 thf(f2951,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ (s @ (s @ c5)))) | ~spl0_182),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2949])).
% 32.11/5.99 thf(f12074,plain,(
% 32.11/5.99 spl0_31 | ~spl0_39 | ~spl0_64),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f12073])).
% 32.11/5.99 thf(f12073,plain,(
% 32.11/5.99 $false | (spl0_31 | ~spl0_39 | ~spl0_64)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12057,f321])).
% 32.11/5.99 thf(f12057,plain,(
% 32.11/5.99 (c3 = c4) | (~spl0_39 | ~spl0_64)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f381,f792])).
% 32.11/5.99 thf(f381,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c8)) | ~spl0_39),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f379])).
% 32.11/5.99 thf(f12056,plain,(
% 32.11/5.99 spl0_64 | ~spl0_167),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f12055,f2786,f790])).
% 32.11/5.99 thf(f12055,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c8)) | ~spl0_167),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f12054,f79])).
% 32.11/5.99 thf(f12054,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ (s @ (s @ (s @ c5))))) | ~spl0_167),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f12047])).
% 32.11/5.99 thf(f12047,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ (s @ (s @ (s @ c5))))) | (c2 != c2) | ~spl0_167),
% 32.11/5.99 inference(superposition,[status(thm)],[f9,f2788])).
% 32.11/5.99 thf(f2788,plain,(
% 32.11/5.99 (c2 = (g @ c2 @ (s @ (s @ c5)))) | ~spl0_167),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2786])).
% 32.11/5.99 thf(f12025,plain,(
% 32.11/5.99 ~spl0_208),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f12024])).
% 32.11/5.99 thf(f12024,plain,(
% 32.11/5.99 $false | ~spl0_208),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f12023,f35])).
% 32.11/5.99 thf(f35,plain,(
% 32.11/5.99 (c5 != c2)),
% 32.11/5.99 inference(superposition,[status(thm)],[f15,f32])).
% 32.11/5.99 thf(f12023,plain,(
% 32.11/5.99 (c5 = c2) | ~spl0_208),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f12022,f34])).
% 32.11/5.99 thf(f12022,plain,(
% 32.11/5.99 (c2 = (g @ c1 @ c1)) | ~spl0_208),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f12012])).
% 32.11/5.99 thf(f12012,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c1 @ c1)) | ~spl0_208),
% 32.11/5.99 inference(superposition,[status(thm)],[f66,f4920])).
% 32.11/5.99 thf(f4920,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ c2)) | ~spl0_208),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f4918])).
% 32.11/5.99 thf(f11858,plain,(
% 32.11/5.99 spl0_3 | ~spl0_176),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f11857])).
% 32.11/5.99 thf(f11857,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_176)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f11856,f58])).
% 32.11/5.99 thf(f11856,plain,(
% 32.11/5.99 (c8 = c4) | (spl0_3 | ~spl0_176)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f11849,f125])).
% 32.11/5.99 thf(f11849,plain,(
% 32.11/5.99 (c1 = c4) | (c8 = c4) | ~spl0_176),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f11846])).
% 32.11/5.99 thf(f11846,plain,(
% 32.11/5.99 (c1 = c4) | (c8 = c4) | (c5 != c5) | ~spl0_176),
% 32.11/5.99 inference(superposition,[status(thm)],[f23,f2867])).
% 32.11/5.99 thf(f2867,plain,(
% 32.11/5.99 (c5 = (g @ c4 @ c3)) | ~spl0_176),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2865])).
% 32.11/5.99 thf(f11791,plain,(
% 32.11/5.99 spl0_162 | ~spl0_262),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f11787,f11039,f2754])).
% 32.11/5.99 thf(f11787,plain,(
% 32.11/5.99 (c2 = (g @ c4 @ c3)) | ~spl0_262),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f11777])).
% 32.11/5.99 thf(f11777,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c4 @ c3)) | ~spl0_262),
% 32.11/5.99 inference(superposition,[status(thm)],[f64,f11041])).
% 32.11/5.99 thf(f11790,plain,(
% 32.11/5.99 spl0_24 | ~spl0_156 | ~spl0_262),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f11789])).
% 32.11/5.99 thf(f11789,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_156 | ~spl0_262)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f11788,f263])).
% 32.11/5.99 thf(f11788,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_156 | ~spl0_262)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f11787,f2704])).
% 32.11/5.99 thf(f11738,plain,(
% 32.11/5.99 spl0_9 | ~spl0_168),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f11737])).
% 32.11/5.99 thf(f11737,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_168)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f11736,f58])).
% 32.11/5.99 thf(f11736,plain,(
% 32.11/5.99 (c8 = c4) | (spl0_9 | ~spl0_168)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f11723,f154])).
% 32.11/5.99 thf(f11723,plain,(
% 32.11/5.99 (c1 = c2) | (c8 = c4) | ~spl0_168),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f11719])).
% 32.11/5.99 thf(f11719,plain,(
% 32.11/5.99 (c1 = c2) | (c5 != c5) | (c8 = c4) | ~spl0_168),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f2794])).
% 32.11/5.99 thf(f2794,plain,(
% 32.11/5.99 (c5 = (g @ c2 @ c4)) | ~spl0_168),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2792])).
% 32.11/5.99 thf(f11685,plain,(
% 32.11/5.99 spl0_165 | ~spl0_268),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f11673,f11561,f2773])).
% 32.11/5.99 thf(f11673,plain,(
% 32.11/5.99 (c2 = (g @ c2 @ c2)) | ~spl0_268),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f11663])).
% 32.11/5.99 thf(f11663,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c2 @ c2)) | ~spl0_268),
% 32.11/5.99 inference(superposition,[status(thm)],[f65,f11563])).
% 32.11/5.99 thf(f11563,plain,(
% 32.11/5.99 (c4 = (g @ c2 @ c3)) | ~spl0_268),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f11561])).
% 32.11/5.99 thf(f11678,plain,(
% 32.11/5.99 spl0_24 | ~spl0_124 | ~spl0_268),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f11677])).
% 32.11/5.99 thf(f11677,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_124 | ~spl0_268)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f11676,f263])).
% 32.11/5.99 thf(f11676,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_124 | ~spl0_268)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f11673,f2486])).
% 32.11/5.99 thf(f11629,plain,(
% 32.11/5.99 spl0_1 | ~spl0_155 | ~spl0_156),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f11628])).
% 32.11/5.99 thf(f11628,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_155 | ~spl0_156)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f11609,f117])).
% 32.11/5.99 thf(f11609,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_155 | ~spl0_156)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f6977,f2700])).
% 32.11/5.99 thf(f6977,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ c3)) | ~spl0_156),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f6968])).
% 32.11/5.99 thf(f6968,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ c3)) | (c3 != c3) | ~spl0_156),
% 32.11/5.99 inference(superposition,[status(thm)],[f71,f2704])).
% 32.11/5.99 thf(f11478,plain,(
% 32.11/5.99 spl0_3 | ~spl0_91 | ~spl0_93),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f11477])).
% 32.11/5.99 thf(f11477,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_91 | ~spl0_93)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f11455,f125])).
% 32.11/5.99 thf(f11455,plain,(
% 32.11/5.99 (c1 = c4) | (~spl0_91 | ~spl0_93)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f6098,f1820])).
% 32.11/5.99 thf(f6098,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ c5)) | ~spl0_93),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f6089])).
% 32.11/5.99 thf(f6089,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c3 @ c5)) | ~spl0_93),
% 32.11/5.99 inference(superposition,[status(thm)],[f71,f1828])).
% 32.11/5.99 thf(f1828,plain,(
% 32.11/5.99 (c3 = (g @ c4 @ c5)) | ~spl0_93),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1826])).
% 32.11/5.99 thf(f11476,plain,(
% 32.11/5.99 spl0_24 | ~spl0_91 | ~spl0_122),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f11475])).
% 32.11/5.99 thf(f11475,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_91 | ~spl0_122)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f11474,f263])).
% 32.11/5.99 thf(f11474,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_91 | ~spl0_122)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f11473,f2476])).
% 32.11/5.99 thf(f11473,plain,(
% 32.11/5.99 (c2 = (g @ c3 @ c4)) | ~spl0_91),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f11462])).
% 32.11/5.99 thf(f11462,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c3 @ c4)) | ~spl0_91),
% 32.11/5.99 inference(superposition,[status(thm)],[f63,f1820])).
% 32.11/5.99 thf(f10664,plain,(
% 32.11/5.99 spl0_31 | spl0_51 | spl0_86 | spl0_87 | ~spl0_107),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f10663,f2337,f1457,f1453,f601,f319])).
% 32.11/5.99 thf(f10663,plain,(
% 32.11/5.99 (c3 = c4) | (spl0_51 | spl0_86 | spl0_87 | ~spl0_107)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f10662,f1458])).
% 32.11/5.99 thf(f10662,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c8)) | (c3 = c4) | (spl0_51 | spl0_86 | ~spl0_107)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f10661,f602])).
% 32.11/5.99 thf(f602,plain,(
% 32.11/5.99 (c3 != (g @ c5 @ c8)) | spl0_51),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f601])).
% 32.11/5.99 thf(f10661,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c8)) | (c3 = c4) | (c5 = (g @ c5 @ c8)) | (spl0_86 | ~spl0_107)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f10474,f15])).
% 32.11/5.99 thf(f10474,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c8)) | (c5 = (g @ c5 @ c8)) | (c3 = c4) | (c3 = (g @ c5 @ c8)) | (spl0_86 | ~spl0_107)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f10457,f1454])).
% 32.11/5.99 thf(f1454,plain,(
% 32.11/5.99 (c4 != (g @ c5 @ c8)) | spl0_86),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1453])).
% 32.11/5.99 thf(f10457,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ c8)) | (c3 = c4) | (c5 = (g @ c5 @ c8)) | (c2 = (g @ c5 @ c8)) | (c3 = (g @ c5 @ c8)) | ~spl0_107),
% 32.11/5.99 inference(superposition,[status(thm)],[f112,f2339])).
% 32.11/5.99 thf(f10447,plain,(
% 32.11/5.99 spl0_107 | ~spl0_232),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f10446,f9086,f2337])).
% 32.11/5.99 thf(f10446,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ c8)) | ~spl0_232),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f10443,f79])).
% 32.11/5.99 thf(f10443,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ (s @ (s @ (s @ c5))))) | ~spl0_232),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f10436])).
% 32.11/5.99 thf(f10436,plain,(
% 32.11/5.99 (c2 != c2) | (c4 = (g @ (s @ c5) @ (s @ (s @ (s @ c5))))) | ~spl0_232),
% 32.11/5.99 inference(superposition,[status(thm)],[f9,f9088])).
% 32.11/5.99 thf(f9088,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ (s @ (s @ c5)))) | ~spl0_232),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f9086])).
% 32.11/5.99 thf(f10383,plain,(
% 32.11/5.99 spl0_224 | spl0_70 | ~spl0_231),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f10382,f9082,f990,f7475])).
% 32.11/5.99 thf(f10382,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | (spl0_70 | ~spl0_231)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f10379,f991])).
% 32.11/5.99 thf(f10379,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | (c8 = (s @ (s @ c5))) | ~spl0_231),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f10372])).
% 32.11/5.99 thf(f10372,plain,(
% 32.11/5.99 (c5 != c5) | (c1 = (s @ c5)) | (c8 = (s @ (s @ c5))) | ~spl0_231),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f9084])).
% 32.11/5.99 thf(f9084,plain,(
% 32.11/5.99 (c5 = (g @ (s @ c5) @ (s @ (s @ c5)))) | ~spl0_231),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f9082])).
% 32.11/5.99 thf(f10361,plain,(
% 32.11/5.99 spl0_13 | ~spl0_108 | ~spl0_233),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f10360])).
% 32.11/5.99 thf(f10360,plain,(
% 32.11/5.99 $false | (spl0_13 | ~spl0_108 | ~spl0_233)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f10359,f212])).
% 32.11/5.99 thf(f10359,plain,(
% 32.11/5.99 (c2 = c4) | (~spl0_108 | ~spl0_233)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f10340,f9136])).
% 32.11/5.99 thf(f10340,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ (s @ c5))) | ~spl0_233),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f10330])).
% 32.11/5.99 thf(f10330,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ (s @ c5))) | (c4 != c4) | ~spl0_233),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f9092])).
% 32.11/5.99 thf(f10302,plain,(
% 32.11/5.99 spl0_244 | spl0_243 | spl0_241 | spl0_242 | spl0_31 | ~spl0_108),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f10301,f2404,f319,f10289,f10285,f10293,f10297])).
% 32.11/5.99 thf(f10301,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ (s @ c5))) | (c4 = (g @ c5 @ (s @ c5))) | (c3 = (g @ c5 @ (s @ c5))) | (c2 = (g @ c5 @ (s @ c5))) | (spl0_31 | ~spl0_108)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f10274,f321])).
% 32.11/5.99 thf(f10274,plain,(
% 32.11/5.99 (c3 = c4) | (c2 = (g @ c5 @ (s @ c5))) | (c4 = (g @ c5 @ (s @ c5))) | (c3 = (g @ c5 @ (s @ c5))) | (c5 = (g @ c5 @ (s @ c5))) | ~spl0_108),
% 32.11/5.99 inference(superposition,[status(thm)],[f112,f9136])).
% 32.11/5.99 thf(f10197,plain,(
% 32.11/5.99 spl0_24 | ~spl0_114 | ~spl0_238),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f10196])).
% 32.11/5.99 thf(f10196,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_114 | ~spl0_238)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f10195,f263])).
% 32.11/5.99 thf(f10195,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_114 | ~spl0_238)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f10184,f2436])).
% 32.11/5.99 thf(f10184,plain,(
% 32.11/5.99 (c2 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_238),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f10173])).
% 32.11/5.99 thf(f10173,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ (s @ (s @ c5)) @ c3)) | ~spl0_238),
% 32.11/5.99 inference(superposition,[status(thm)],[f64,f9227])).
% 32.11/5.99 thf(f9634,plain,(
% 32.11/5.99 spl0_74 | ~spl0_222),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f9631,f7420,f1059])).
% 32.11/5.99 thf(f9631,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ c2)) | ~spl0_222),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f9630,f25])).
% 32.11/5.99 thf(f9630,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ (s @ c1))) | ~spl0_222),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f9623])).
% 32.11/5.99 thf(f9623,plain,(
% 32.11/5.99 (c4 = (g @ (s @ c5) @ (s @ c1))) | (c2 != c2) | ~spl0_222),
% 32.11/5.99 inference(superposition,[status(thm)],[f9,f7422])).
% 32.11/5.99 thf(f7422,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c1)) | ~spl0_222),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7420])).
% 32.11/5.99 thf(f9515,plain,(
% 32.11/5.99 spl0_224 | spl0_50 | ~spl0_221),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f9514,f7416,f479,f7475])).
% 32.11/5.99 thf(f9514,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | (spl0_50 | ~spl0_221)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f9511,f480])).
% 32.11/5.99 thf(f9511,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | (c8 = c1) | ~spl0_221),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f9507])).
% 32.11/5.99 thf(f9507,plain,(
% 32.11/5.99 (c5 != c5) | (c1 = (s @ c5)) | (c8 = c1) | ~spl0_221),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f7418])).
% 32.11/5.99 thf(f7418,plain,(
% 32.11/5.99 (c5 = (g @ (s @ c5) @ c1)) | ~spl0_221),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7416])).
% 32.11/5.99 thf(f9424,plain,(
% 32.11/5.99 spl0_24 | ~spl0_75 | ~spl0_216),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f9423])).
% 32.11/5.99 thf(f9423,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_75 | ~spl0_216)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f9422,f263])).
% 32.11/5.99 thf(f9422,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_75 | ~spl0_216)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f9421,f1065])).
% 32.11/5.99 thf(f9421,plain,(
% 32.11/5.99 (c2 = (g @ (s @ c5) @ c2)) | ~spl0_216),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f9411])).
% 32.11/5.99 thf(f9411,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ (s @ c5) @ c2)) | ~spl0_216),
% 32.11/5.99 inference(superposition,[status(thm)],[f65,f7200])).
% 32.11/5.99 thf(f9399,plain,(
% 32.11/5.99 spl0_3 | ~spl0_151),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f9398])).
% 32.11/5.99 thf(f9398,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_151)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f9397,f125])).
% 32.11/5.99 thf(f9397,plain,(
% 32.11/5.99 (c1 = c4) | ~spl0_151),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f9376,f58])).
% 32.11/5.99 thf(f9376,plain,(
% 32.11/5.99 (c8 = c4) | (c1 = c4) | ~spl0_151),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f9371])).
% 32.11/5.99 thf(f9371,plain,(
% 32.11/5.99 (c8 = c4) | (c5 != c5) | (c1 = c4) | ~spl0_151),
% 32.11/5.99 inference(superposition,[status(thm)],[f20,f2679])).
% 32.11/5.99 thf(f2679,plain,(
% 32.11/5.99 (c5 = (g @ (s @ (s @ c5)) @ c4)) | ~spl0_151),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2677])).
% 32.11/5.99 thf(f9332,plain,(
% 32.11/5.99 spl0_9 | ~spl0_96 | ~spl0_203),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f9331])).
% 32.11/5.99 thf(f9331,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_96 | ~spl0_203)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f9317,f154])).
% 32.11/5.99 thf(f9317,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_96 | ~spl0_203)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f4295,f9316])).
% 32.11/5.99 thf(f9316,plain,(
% 32.11/5.99 (c2 = (g @ c1 @ c5)) | ~spl0_203),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f9306])).
% 32.11/5.99 thf(f9306,plain,(
% 32.11/5.99 (c2 = (g @ c1 @ c5)) | (c4 != c4) | ~spl0_203),
% 32.11/5.99 inference(superposition,[status(thm)],[f10,f4646])).
% 32.11/5.99 thf(f9018,plain,(
% 32.11/5.99 ~spl0_13 | ~spl0_67),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f9017,f947,f210])).
% 32.11/5.99 thf(f9017,plain,(
% 32.11/5.99 (c2 != c4) | ~spl0_67),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f9016,f16])).
% 32.11/5.99 thf(f9016,plain,(
% 32.11/5.99 (c2 != c4) | (c4 = (g @ (s @ (s @ c5)) @ c1)) | ~spl0_67),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f9007,f27])).
% 32.11/5.99 thf(f9007,plain,(
% 32.11/5.99 (c4 = (g @ (s @ (s @ c5)) @ (s @ c8))) | (c2 != c4) | ~spl0_67),
% 32.11/5.99 inference(superposition,[status(thm)],[f9,f949])).
% 32.11/5.99 thf(f8677,plain,(
% 32.11/5.99 spl0_30 | spl0_29 | ~spl0_13),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f8676,f210,f285,f289])).
% 32.11/5.99 thf(f8676,plain,(
% 32.11/5.99 (c2 != c4) | (c5 = (g @ c8 @ c1)) | (c3 = (g @ c8 @ c1))),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f8663,f16])).
% 32.11/5.99 thf(f8663,plain,(
% 32.11/5.99 (c3 = (g @ c8 @ c1)) | (c2 != c4) | (c5 = (g @ c8 @ c1)) | (c4 = (g @ c8 @ c1))),
% 32.11/5.99 inference(superposition,[status(thm)],[f16,f113])).
% 32.11/5.99 thf(f8374,plain,(
% 32.11/5.99 spl0_224 | ~spl0_212),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f8326,f6349,f7475])).
% 32.11/5.99 thf(f8326,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | ~spl0_212),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f27,f6351])).
% 32.11/5.99 thf(f6351,plain,(
% 32.11/5.99 (c8 = c5) | ~spl0_212),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f6349])).
% 32.11/5.99 thf(f8312,plain,(
% 32.11/5.99 spl0_212 | ~spl0_87),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f8311,f1457,f6349])).
% 32.11/5.99 thf(f8311,plain,(
% 32.11/5.99 (c8 = c5) | ~spl0_87),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f8307,f36])).
% 32.11/5.99 thf(f8307,plain,(
% 32.11/5.99 (c5 = c1) | (c8 = c5) | ~spl0_87),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f8305])).
% 32.11/5.99 thf(f8305,plain,(
% 32.11/5.99 (c8 = c5) | (c5 != c5) | (c5 = c1) | ~spl0_87),
% 32.11/5.99 inference(superposition,[status(thm)],[f23,f1459])).
% 32.11/5.99 thf(f1459,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c8)) | ~spl0_87),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1457])).
% 32.11/5.99 thf(f8289,plain,(
% 32.11/5.99 spl0_1 | ~spl0_39 | ~spl0_57),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f8288])).
% 32.11/5.99 thf(f8288,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_39 | ~spl0_57)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f8287,f117])).
% 32.11/5.99 thf(f8287,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_39 | ~spl0_57)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f8286,f381])).
% 32.11/5.99 thf(f8286,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c8)) | ~spl0_57),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f8277])).
% 32.11/5.99 thf(f8277,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c8)) | (c3 != c3) | ~spl0_57),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f662])).
% 32.11/5.99 thf(f7716,plain,(
% 32.11/5.99 spl0_1 | spl0_3 | ~spl0_56),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f7715])).
% 32.11/5.99 thf(f7715,plain,(
% 32.11/5.99 $false | (spl0_1 | spl0_3 | ~spl0_56)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7714,f125])).
% 32.11/5.99 thf(f7714,plain,(
% 32.11/5.99 (c1 = c4) | (spl0_1 | ~spl0_56)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f7667,f30])).
% 32.11/5.99 thf(f7667,plain,(
% 32.11/5.99 (c1 = (s @ c3)) | (spl0_1 | ~spl0_56)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f27,f7659])).
% 32.11/5.99 thf(f7659,plain,(
% 32.11/5.99 (c8 = c3) | (spl0_1 | ~spl0_56)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7658,f117])).
% 32.11/5.99 thf(f7658,plain,(
% 32.11/5.99 (c1 = c3) | (c8 = c3) | ~spl0_56),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f7655])).
% 32.11/5.99 thf(f7655,plain,(
% 32.11/5.99 (c5 != c5) | (c1 = c3) | (c8 = c3) | ~spl0_56),
% 32.11/5.99 inference(superposition,[status(thm)],[f23,f658])).
% 32.11/5.99 thf(f658,plain,(
% 32.11/5.99 (c5 = (g @ c3 @ c8)) | ~spl0_56),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f656])).
% 32.11/5.99 thf(f7623,plain,(
% 32.11/5.99 spl0_88 | ~spl0_51),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f7622,f601,f1461])).
% 32.11/5.99 thf(f7622,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c8)) | ~spl0_51),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f7614])).
% 32.11/5.99 thf(f7614,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c8)) | (c3 != c3) | ~spl0_51),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f603])).
% 32.11/5.99 thf(f603,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c8)) | ~spl0_51),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f601])).
% 32.11/5.99 thf(f7592,plain,(
% 32.11/5.99 spl0_87 | spl0_51 | spl0_1 | ~spl0_68 | spl0_86),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f7591,f1453,f951,f115,f601,f1457])).
% 32.11/5.99 thf(f7591,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c8)) | (c3 = (g @ c5 @ c8)) | (spl0_1 | ~spl0_68 | spl0_86)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7590,f1454])).
% 32.11/5.99 thf(f7590,plain,(
% 32.11/5.99 (c3 = (g @ c5 @ c8)) | (c5 = (g @ c5 @ c8)) | (c4 = (g @ c5 @ c8)) | (spl0_1 | ~spl0_68)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7589,f15])).
% 32.11/5.99 thf(f7589,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c8)) | (c2 = (g @ c5 @ c8)) | (c4 = (g @ c5 @ c8)) | (c3 = (g @ c5 @ c8)) | (spl0_1 | ~spl0_68)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7558,f117])).
% 32.11/5.99 thf(f7558,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c8)) | (c1 = c3) | (c3 = (g @ c5 @ c8)) | (c4 = (g @ c5 @ c8)) | (c2 = (g @ c5 @ c8)) | ~spl0_68),
% 32.11/5.99 inference(superposition,[status(thm)],[f2388,f112])).
% 32.11/5.99 thf(f2388,plain,(
% 32.11/5.99 (c1 = (g @ (s @ c5) @ c8)) | ~spl0_68),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f2380])).
% 32.11/5.99 thf(f2380,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ (s @ c5) @ c8)) | ~spl0_68),
% 32.11/5.99 inference(superposition,[status(thm)],[f29,f953])).
% 32.11/5.99 thf(f7531,plain,(
% 32.11/5.99 spl0_228 | spl0_227 | spl0_226 | spl0_31 | ~spl0_103 | spl0_163),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f7530,f2758,f2224,f319,f7489,f7493,f7497])).
% 32.11/5.99 thf(f7530,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ c4)) | (c5 = (g @ c5 @ c4)) | (c2 = (g @ c5 @ c4)) | (spl0_31 | ~spl0_103 | spl0_163)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7529,f321])).
% 32.11/5.99 thf(f7529,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c4)) | (c3 = c4) | (c4 = (g @ c5 @ c4)) | (c2 = (g @ c5 @ c4)) | (~spl0_103 | spl0_163)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7515,f2759])).
% 32.11/5.99 thf(f7515,plain,(
% 32.11/5.99 (c4 = (g @ c5 @ c4)) | (c3 = (g @ c5 @ c4)) | (c5 = (g @ c5 @ c4)) | (c3 = c4) | (c2 = (g @ c5 @ c4)) | ~spl0_103),
% 32.11/5.99 inference(superposition,[status(thm)],[f112,f2226])).
% 32.11/5.99 thf(f7315,plain,(
% 32.11/5.99 spl0_212 | ~spl0_218),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f7314,f7232,f6349])).
% 32.11/5.99 thf(f7314,plain,(
% 32.11/5.99 (c8 = c5) | ~spl0_218),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7305,f36])).
% 32.11/5.99 thf(f7305,plain,(
% 32.11/5.99 (c8 = c5) | (c5 = c1) | ~spl0_218),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f7302])).
% 32.11/5.99 thf(f7302,plain,(
% 32.11/5.99 (c5 = c1) | (c5 != c5) | (c8 = c5) | ~spl0_218),
% 32.11/5.99 inference(superposition,[status(thm)],[f23,f7234])).
% 32.11/5.99 thf(f7234,plain,(
% 32.11/5.99 (c5 = (g @ c5 @ c2)) | ~spl0_218),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f7232])).
% 32.11/5.99 thf(f7270,plain,(
% 32.11/5.99 spl0_24 | ~spl0_170 | ~spl0_217),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f7269])).
% 32.11/5.99 thf(f7269,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_170 | ~spl0_217)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7268,f263])).
% 32.11/5.99 thf(f7268,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_170 | ~spl0_217)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f7261,f2804])).
% 32.11/5.99 thf(f7261,plain,(
% 32.11/5.99 (c2 = (g @ c5 @ c1)) | ~spl0_217),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f7252])).
% 32.11/5.99 thf(f7252,plain,(
% 32.11/5.99 (c4 != c4) | (c2 = (g @ c5 @ c1)) | ~spl0_217),
% 32.11/5.99 inference(superposition,[status(thm)],[f66,f7230])).
% 32.11/5.99 thf(f7055,plain,(
% 32.11/5.99 spl0_68 | ~spl0_13 | spl0_66 | spl0_67),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f7054,f947,f943,f210,f951])).
% 32.11/5.99 thf(f7054,plain,(
% 32.11/5.99 (c2 != c4) | (c3 = (g @ (s @ (s @ c5)) @ c8)) | (spl0_66 | spl0_67)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7053,f38])).
% 32.11/5.99 thf(f7053,plain,(
% 32.11/5.99 (c2 != c4) | (c5 = c3) | (c3 = (g @ (s @ (s @ c5)) @ c8)) | (spl0_66 | spl0_67)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f7052,f32])).
% 32.11/5.99 thf(f7052,plain,(
% 32.11/5.99 (c3 = (g @ c8 @ c8)) | (c2 != c4) | (c3 = (g @ (s @ (s @ c5)) @ c8)) | (spl0_66 | spl0_67)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7051,f948])).
% 32.11/5.99 thf(f948,plain,(
% 32.11/5.99 (c4 != (g @ (s @ (s @ c5)) @ c8)) | spl0_67),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f947])).
% 32.11/5.99 thf(f7051,plain,(
% 32.11/5.99 (c3 = (g @ c8 @ c8)) | (c3 = (g @ (s @ (s @ c5)) @ c8)) | (c2 != c4) | (c4 = (g @ (s @ (s @ c5)) @ c8)) | (spl0_66 | spl0_67)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7047,f944])).
% 32.11/5.99 thf(f944,plain,(
% 32.11/5.99 (c5 != (g @ (s @ (s @ c5)) @ c8)) | spl0_66),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f943])).
% 32.11/5.99 thf(f7047,plain,(
% 32.11/5.99 (c3 = (g @ c8 @ c8)) | (c3 = (g @ (s @ (s @ c5)) @ c8)) | (c2 != c4) | (c5 = (g @ (s @ (s @ c5)) @ c8)) | (c4 = (g @ (s @ (s @ c5)) @ c8)) | spl0_67),
% 32.11/5.99 inference(superposition,[status(thm)],[f948,f298])).
% 32.11/5.99 thf(f7026,plain,(
% 32.11/5.99 spl0_1 | ~spl0_93 | ~spl0_99),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f7025])).
% 32.11/5.99 thf(f7025,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_93 | ~spl0_99)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7024,f117])).
% 32.11/5.99 thf(f7024,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_93 | ~spl0_99)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f5470,f1828])).
% 32.11/5.99 thf(f5470,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c5)) | ~spl0_99),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f5462])).
% 32.11/5.99 thf(f5462,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c4 @ c5)) | ~spl0_99),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f1855])).
% 32.11/5.99 thf(f7006,plain,(
% 32.11/5.99 spl0_24 | ~spl0_93 | ~spl0_210),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f7005])).
% 32.11/5.99 thf(f7005,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_93 | ~spl0_210)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f7004,f263])).
% 32.11/5.99 thf(f7004,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_93 | ~spl0_210)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f5376,f1828])).
% 32.11/5.99 thf(f6389,plain,(
% 32.11/5.99 spl0_1 | ~spl0_155 | ~spl0_164),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f6388])).
% 32.11/5.99 thf(f6388,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_155 | ~spl0_164)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f6387,f117])).
% 32.11/5.99 thf(f6387,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_155 | ~spl0_164)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f6386,f2771])).
% 32.11/5.99 thf(f6386,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c3)) | ~spl0_155),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f6377])).
% 32.11/5.99 thf(f6377,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c3)) | (c3 != c3) | ~spl0_155),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f2700])).
% 32.11/5.99 thf(f6372,plain,(
% 32.11/5.99 spl0_1 | ~spl0_156 | ~spl0_177),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f6371])).
% 32.11/5.99 thf(f6371,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_156 | ~spl0_177)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f6370,f117])).
% 32.11/5.99 thf(f6370,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_156 | ~spl0_177)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f5059,f2704])).
% 32.11/5.99 thf(f5059,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c3)) | ~spl0_177),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f5051])).
% 32.11/5.99 thf(f5051,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c3)) | (c3 != c3) | ~spl0_177),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f2871])).
% 32.11/5.99 thf(f6248,plain,(
% 32.11/5.99 spl0_1 | ~spl0_136 | ~spl0_137),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f6247])).
% 32.11/5.99 thf(f6247,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_136 | ~spl0_137)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f6246,f117])).
% 32.11/5.99 thf(f6246,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_136 | ~spl0_137)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f4758,f2567])).
% 32.11/5.99 thf(f4758,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c2)) | ~spl0_136),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4750])).
% 32.11/5.99 thf(f4750,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c2)) | (c3 != c3) | ~spl0_136),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f2563])).
% 32.11/5.99 thf(f6208,plain,(
% 32.11/5.99 spl0_24 | ~spl0_147 | ~spl0_204),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f6207])).
% 32.11/5.99 thf(f6207,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_147 | ~spl0_204)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f6206,f263])).
% 32.11/5.99 thf(f6206,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_147 | ~spl0_204)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f6205,f2642])).
% 32.11/5.99 thf(f2642,plain,(
% 32.11/5.99 (c3 = (g @ c3 @ c1)) | ~spl0_147),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2640])).
% 32.11/5.99 thf(f6205,plain,(
% 32.11/5.99 (c2 = (g @ c3 @ c1)) | ~spl0_204),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f6195])).
% 32.11/5.99 thf(f6195,plain,(
% 32.11/5.99 (c2 = (g @ c3 @ c1)) | (c4 != c4) | ~spl0_204),
% 32.11/5.99 inference(superposition,[status(thm)],[f66,f4744])).
% 32.11/5.99 thf(f6128,plain,(
% 32.11/5.99 spl0_1 | ~spl0_119 | ~spl0_163),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f6127])).
% 32.11/5.99 thf(f6127,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_119 | ~spl0_163)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f6126,f117])).
% 32.11/5.99 thf(f6126,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_119 | ~spl0_163)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f6125,f2464])).
% 32.11/5.99 thf(f6125,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c4)) | ~spl0_163),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f6117])).
% 32.11/5.99 thf(f6117,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c4 @ c4)) | ~spl0_163),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f2760])).
% 32.11/5.99 thf(f5459,plain,(
% 32.11/5.99 spl0_1 | ~spl0_122 | ~spl0_142),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f5458])).
% 32.11/5.99 thf(f5458,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_122 | ~spl0_142)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5457,f117])).
% 32.11/5.99 thf(f5457,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_122 | ~spl0_142)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f5456,f2610])).
% 32.11/5.99 thf(f5456,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c4)) | ~spl0_122),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f5447])).
% 32.11/5.99 thf(f5447,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c4)) | (c3 != c3) | ~spl0_122),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f2476])).
% 32.11/5.99 thf(f5415,plain,(
% 32.11/5.99 spl0_24 | ~spl0_121 | ~spl0_155),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f5414])).
% 32.11/5.99 thf(f5414,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_121 | ~spl0_155)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5413,f263])).
% 32.11/5.99 thf(f5413,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_121 | ~spl0_155)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f2472,f2700])).
% 32.11/5.99 thf(f5410,plain,(
% 32.11/5.99 spl0_3 | ~spl0_120),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f5409])).
% 32.11/5.99 thf(f5409,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_120)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5408,f125])).
% 32.11/5.99 thf(f5408,plain,(
% 32.11/5.99 (c1 = c4) | ~spl0_120),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5403,f58])).
% 32.11/5.99 thf(f5403,plain,(
% 32.11/5.99 (c8 = c4) | (c1 = c4) | ~spl0_120),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f5396])).
% 32.11/5.99 thf(f5396,plain,(
% 32.11/5.99 (c5 != c5) | (c8 = c4) | (c1 = c4) | ~spl0_120),
% 32.11/5.99 inference(superposition,[status(thm)],[f20,f2468])).
% 32.11/5.99 thf(f2468,plain,(
% 32.11/5.99 (c5 = (g @ c3 @ c4)) | ~spl0_120),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2466])).
% 32.11/5.99 thf(f5370,plain,(
% 32.11/5.99 spl0_24 | ~spl0_119 | ~spl0_174),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f5369])).
% 32.11/5.99 thf(f5369,plain,(
% 32.11/5.99 $false | (spl0_24 | ~spl0_119 | ~spl0_174)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5368,f263])).
% 32.11/5.99 thf(f5368,plain,(
% 32.11/5.99 (c3 = c2) | (~spl0_119 | ~spl0_174)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f2829,f2464])).
% 32.11/5.99 thf(f5366,plain,(
% 32.11/5.99 spl0_9 | ~spl0_93 | ~spl0_202),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f5365])).
% 32.11/5.99 thf(f5365,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_93 | ~spl0_202)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5352,f154])).
% 32.11/5.99 thf(f5352,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_93 | ~spl0_202)),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f4138,f4377])).
% 32.11/5.99 thf(f4138,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ c5)) | ~spl0_93),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4129])).
% 32.11/5.99 thf(f4129,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c3 @ c5)) | ~spl0_93),
% 32.11/5.99 inference(superposition,[status(thm)],[f71,f1828])).
% 32.11/5.99 thf(f5295,plain,(
% 32.11/5.99 spl0_1 | ~spl0_119 | ~spl0_122),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f5294])).
% 32.11/5.99 thf(f5294,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_119 | ~spl0_122)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5293,f117])).
% 32.11/5.99 thf(f5293,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_119 | ~spl0_122)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f4316,f2476])).
% 32.11/5.99 thf(f4316,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ c4)) | ~spl0_119),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4307])).
% 32.11/5.99 thf(f4307,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c3 @ c4)) | ~spl0_119),
% 32.11/5.99 inference(superposition,[status(thm)],[f71,f2464])).
% 32.11/5.99 thf(f5149,plain,(
% 32.11/5.99 spl0_9 | spl0_50 | ~spl0_179),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f5148])).
% 32.11/5.99 thf(f5148,plain,(
% 32.11/5.99 $false | (spl0_9 | spl0_50 | ~spl0_179)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5147,f154])).
% 32.11/5.99 thf(f5147,plain,(
% 32.11/5.99 (c1 = c2) | (spl0_50 | ~spl0_179)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5142,f480])).
% 32.11/5.99 thf(f5142,plain,(
% 32.11/5.99 (c8 = c1) | (c1 = c2) | ~spl0_179),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f5138])).
% 32.11/5.99 thf(f5138,plain,(
% 32.11/5.99 (c5 != c5) | (c1 = c2) | (c8 = c1) | ~spl0_179),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f2881])).
% 32.11/5.99 thf(f2881,plain,(
% 32.11/5.99 (c5 = (g @ c2 @ c1)) | ~spl0_179),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2879])).
% 32.11/5.99 thf(f5113,plain,(
% 32.11/5.99 spl0_1 | ~spl0_147 | ~spl0_192),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f5112])).
% 32.11/5.99 thf(f5112,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_147 | ~spl0_192)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5111,f117])).
% 32.11/5.99 thf(f5111,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_147 | ~spl0_192)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f3795,f2642])).
% 32.11/5.99 thf(f3795,plain,(
% 32.11/5.99 (c1 = (g @ c3 @ c1)) | ~spl0_192),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f3793])).
% 32.11/5.99 thf(f5079,plain,(
% 32.11/5.99 ~spl0_180),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f5078])).
% 32.11/5.99 thf(f5078,plain,(
% 32.11/5.99 $false | ~spl0_180),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f5077,f36])).
% 32.11/5.99 thf(f5077,plain,(
% 32.11/5.99 (c5 = c1) | ~spl0_180),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f5076,f34])).
% 32.11/5.99 thf(f5076,plain,(
% 32.11/5.99 (c1 = (g @ c1 @ c1)) | ~spl0_180),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f5067])).
% 32.11/5.99 thf(f5067,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c1 @ c1)) | ~spl0_180),
% 32.11/5.99 inference(superposition,[status(thm)],[f73,f2885])).
% 32.11/5.99 thf(f2885,plain,(
% 32.11/5.99 (c3 = (g @ c2 @ c1)) | ~spl0_180),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2883])).
% 32.11/5.99 thf(f4978,plain,(
% 32.11/5.99 spl0_9 | spl0_50 | ~spl0_175),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f4977])).
% 32.11/5.99 thf(f4977,plain,(
% 32.11/5.99 $false | (spl0_9 | spl0_50 | ~spl0_175)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4976,f154])).
% 32.11/5.99 thf(f4976,plain,(
% 32.11/5.99 (c1 = c2) | (spl0_50 | ~spl0_175)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4975,f480])).
% 32.11/5.99 thf(f4975,plain,(
% 32.11/5.99 (c8 = c1) | (c1 = c2) | ~spl0_175),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4971])).
% 32.11/5.99 thf(f4971,plain,(
% 32.11/5.99 (c5 != c5) | (c1 = c2) | (c8 = c1) | ~spl0_175),
% 32.11/5.99 inference(superposition,[status(thm)],[f22,f2847])).
% 32.11/5.99 thf(f2847,plain,(
% 32.11/5.99 (c5 = (g @ c1 @ c2)) | ~spl0_175),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2845])).
% 32.11/5.99 thf(f4866,plain,(
% 32.11/5.99 spl0_1 | ~spl0_148 | ~spl0_170),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f4865])).
% 32.11/5.99 thf(f4865,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_148 | ~spl0_170)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4864,f117])).
% 32.11/5.99 thf(f4864,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_148 | ~spl0_170)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f4863,f2646])).
% 32.11/5.99 thf(f4863,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c1)) | ~spl0_170),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4855])).
% 32.11/5.99 thf(f4855,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c4 @ c1)) | ~spl0_170),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f2804])).
% 32.11/5.99 thf(f4847,plain,(
% 32.11/5.99 spl0_9 | ~spl0_143 | ~spl0_164),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f4846])).
% 32.11/5.99 thf(f4846,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_143 | ~spl0_164)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4845,f154])).
% 32.11/5.99 thf(f4845,plain,(
% 32.11/5.99 (c1 = c2) | (~spl0_143 | ~spl0_164)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f4844,f2614])).
% 32.11/5.99 thf(f4844,plain,(
% 32.11/5.99 (c1 = (g @ c1 @ c3)) | ~spl0_164),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4835])).
% 32.11/5.99 thf(f4835,plain,(
% 32.11/5.99 (c1 = (g @ c1 @ c3)) | (c3 != c3) | ~spl0_164),
% 32.11/5.99 inference(superposition,[status(thm)],[f73,f2771])).
% 32.11/5.99 thf(f4821,plain,(
% 32.11/5.99 spl0_1 | ~spl0_123 | ~spl0_124),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f4820])).
% 32.11/5.99 thf(f4820,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_123 | ~spl0_124)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4819,f117])).
% 32.11/5.99 thf(f4819,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_123 | ~spl0_124)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f4818,f2486])).
% 32.11/5.99 thf(f4818,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c2)) | ~spl0_123),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4809])).
% 32.11/5.99 thf(f4809,plain,(
% 32.11/5.99 (c1 = (g @ c2 @ c2)) | (c3 != c3) | ~spl0_123),
% 32.11/5.99 inference(superposition,[status(thm)],[f72,f2482])).
% 32.11/5.99 thf(f4801,plain,(
% 32.11/5.99 spl0_9 | spl0_49 | ~spl0_145),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f4800])).
% 32.11/5.99 thf(f4800,plain,(
% 32.11/5.99 $false | (spl0_9 | spl0_49 | ~spl0_145)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4799,f154])).
% 32.11/5.99 thf(f4799,plain,(
% 32.11/5.99 (c1 = c2) | (spl0_49 | ~spl0_145)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4790,f476])).
% 32.11/5.99 thf(f476,plain,(
% 32.11/5.99 (c8 != c2) | spl0_49),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f475])).
% 32.11/5.99 thf(f475,definition,(
% 32.11/5.99 spl0_49 <=> (c8 = c2)),
% 32.11/5.99 introduced(definition,[new_symbols(naming,[spl0_49])],[avatar_definition])).
% 32.11/5.99 thf(f4790,plain,(
% 32.11/5.99 (c8 = c2) | (c1 = c2) | ~spl0_145),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4785])).
% 32.11/5.99 thf(f4785,plain,(
% 32.11/5.99 (c5 != c5) | (c8 = c2) | (c1 = c2) | ~spl0_145),
% 32.11/5.99 inference(superposition,[status(thm)],[f20,f2630])).
% 32.11/5.99 thf(f2630,plain,(
% 32.11/5.99 (c5 = (g @ c3 @ c2)) | ~spl0_145),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2628])).
% 32.11/5.99 thf(f4628,plain,(
% 32.11/5.99 spl0_94 | ~spl0_150),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f4627,f2658,f1831])).
% 32.11/5.99 thf(f4627,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ c5)) | ~spl0_150),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f4625,f11])).
% 32.11/5.99 thf(f4625,plain,(
% 32.11/5.99 (c4 = (g @ c1 @ (s @ c4))) | ~spl0_150),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4618])).
% 32.11/5.99 thf(f4618,plain,(
% 32.11/5.99 (c2 != c2) | (c4 = (g @ c1 @ (s @ c4))) | ~spl0_150),
% 32.11/5.99 inference(superposition,[status(thm)],[f9,f2660])).
% 32.11/5.99 thf(f2660,plain,(
% 32.11/5.99 (c2 = (g @ c1 @ c4)) | ~spl0_150),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2658])).
% 32.11/5.99 thf(f4487,plain,(
% 32.11/5.99 spl0_3 | ~spl0_141),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f4486])).
% 32.11/5.99 thf(f4486,plain,(
% 32.11/5.99 $false | (spl0_3 | ~spl0_141)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4485,f125])).
% 32.11/5.99 thf(f4485,plain,(
% 32.11/5.99 (c1 = c4) | ~spl0_141),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4478,f58])).
% 32.11/5.99 thf(f4478,plain,(
% 32.11/5.99 (c8 = c4) | (c1 = c4) | ~spl0_141),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4472])).
% 32.11/5.99 thf(f4472,plain,(
% 32.11/5.99 (c8 = c4) | (c1 = c4) | (c5 != c5) | ~spl0_141),
% 32.11/5.99 inference(superposition,[status(thm)],[f20,f2606])).
% 32.11/5.99 thf(f2606,plain,(
% 32.11/5.99 (c5 = (g @ c1 @ c4)) | ~spl0_141),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f2604])).
% 32.11/5.99 thf(f4278,plain,(
% 32.11/5.99 spl0_49 | ~spl0_98),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f4277])).
% 32.11/5.99 thf(f4277,plain,(
% 32.11/5.99 $false | (spl0_49 | ~spl0_98)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4276,f476])).
% 32.11/5.99 thf(f4276,plain,(
% 32.11/5.99 (c8 = c2) | ~spl0_98),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4273,f36])).
% 32.11/5.99 thf(f4273,plain,(
% 32.11/5.99 (c5 = c1) | (c8 = c2) | ~spl0_98),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f4268])).
% 32.11/5.99 thf(f4268,plain,(
% 32.11/5.99 (c5 = c1) | (c8 = c2) | (c5 != c5) | ~spl0_98),
% 32.11/5.99 inference(superposition,[status(thm)],[f22,f1850])).
% 32.11/5.99 thf(f1850,plain,(
% 32.11/5.99 (c5 = (g @ c2 @ c5)) | ~spl0_98),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f1848])).
% 32.11/5.99 thf(f4141,plain,(
% 32.11/5.99 spl0_1 | ~spl0_90 | ~spl0_93),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f4140])).
% 32.11/5.99 thf(f4140,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_90 | ~spl0_93)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f4139,f117])).
% 32.11/5.99 thf(f4139,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_90 | ~spl0_93)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f4138,f1816])).
% 32.11/5.99 thf(f3589,plain,(
% 32.11/5.99 ~spl0_13 | ~spl0_41),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f3576,f387,f210])).
% 32.11/5.99 thf(f3576,plain,(
% 32.11/5.99 (c2 != c4) | ~spl0_41),
% 32.11/5.99 inference(superposition,[status(thm)],[f15,f389])).
% 32.11/5.99 thf(f3526,plain,(
% 32.11/5.99 ~spl0_13 | ~spl0_86),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f3514,f1453,f210])).
% 32.11/5.99 thf(f3514,plain,(
% 32.11/5.99 (c2 != c4) | ~spl0_86),
% 32.11/5.99 inference(superposition,[status(thm)],[f15,f1455])).
% 32.11/5.99 thf(f3294,plain,(
% 32.11/5.99 ~spl0_12),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f3293])).
% 32.11/5.99 thf(f3293,plain,(
% 32.11/5.99 $false | ~spl0_12),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f3286,f38])).
% 32.11/5.99 thf(f3286,plain,(
% 32.11/5.99 (c5 = c3) | ~spl0_12),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f13,f3285])).
% 32.11/5.99 thf(f3285,plain,(
% 32.11/5.99 (c5 = (s @ c2)) | ~spl0_12),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f3284,f25])).
% 32.11/5.99 thf(f3284,plain,(
% 32.11/5.99 (c5 = (s @ (s @ c1))) | ~spl0_12),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f3241,f3238])).
% 32.11/5.99 thf(f3238,plain,(
% 32.11/5.99 (c1 = (s @ c5)) | ~spl0_12),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f27,f3222])).
% 32.11/5.99 thf(f3222,plain,(
% 32.11/5.99 (c8 = c5) | ~spl0_12),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f3221,f36])).
% 32.11/5.99 thf(f3221,plain,(
% 32.11/5.99 (c8 = c5) | (c5 = c1) | ~spl0_12),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f3218])).
% 32.11/5.99 thf(f3218,plain,(
% 32.11/5.99 (c8 = c5) | (c5 != c5) | (c5 = c1) | ~spl0_12),
% 32.11/5.99 inference(superposition,[status(thm)],[f20,f208])).
% 32.11/5.99 thf(f208,plain,(
% 32.11/5.99 (c5 = (g @ c8 @ c5)) | ~spl0_12),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f206])).
% 32.11/5.99 thf(f3241,plain,(
% 32.11/5.99 (c5 = (s @ (s @ (s @ c5)))) | ~spl0_12),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f79,f3222])).
% 32.11/5.99 thf(f3164,plain,(
% 32.11/5.99 spl0_50 | ~spl0_70),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f3163])).
% 32.11/5.99 thf(f3163,plain,(
% 32.11/5.99 $false | (spl0_50 | ~spl0_70)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f3162,f480])).
% 32.11/5.99 thf(f3162,plain,(
% 32.11/5.99 (c8 = c1) | ~spl0_70),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f3134,f27])).
% 32.11/5.99 thf(f3134,plain,(
% 32.11/5.99 (c8 = (s @ c8)) | ~spl0_70),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f79,f992])).
% 32.11/5.99 thf(f992,plain,(
% 32.11/5.99 (c8 = (s @ (s @ c5))) | ~spl0_70),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f990])).
% 32.11/5.99 thf(f3111,plain,(
% 32.11/5.99 ~spl0_9 | spl0_24),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f3110])).
% 32.11/5.99 thf(f3110,plain,(
% 32.11/5.99 $false | (~spl0_9 | spl0_24)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f3109,f263])).
% 32.11/5.99 thf(f3109,plain,(
% 32.11/5.99 (c3 = c2) | ~spl0_9),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f3104,f13])).
% 32.11/5.99 thf(f3104,plain,(
% 32.11/5.99 (c2 = (s @ c2)) | ~spl0_9),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f25,f153])).
% 32.11/5.99 thf(f153,plain,(
% 32.11/5.99 (c1 = c2) | ~spl0_9),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f152])).
% 32.11/5.99 thf(f3077,plain,(
% 32.11/5.99 ~spl0_3),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f3076])).
% 32.11/5.99 thf(f3076,plain,(
% 32.11/5.99 $false | ~spl0_3),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f3075,f35])).
% 32.11/5.99 thf(f3075,plain,(
% 32.11/5.99 (c5 = c2) | ~spl0_3),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f3054,f11])).
% 32.11/5.99 thf(f3054,plain,(
% 32.11/5.99 (c2 = (s @ c4)) | ~spl0_3),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f25,f124])).
% 32.11/5.99 thf(f124,plain,(
% 32.11/5.99 (c1 = c4) | ~spl0_3),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f123])).
% 32.11/5.99 thf(f2889,plain,(
% 32.11/5.99 ~spl0_13 | ~spl0_55),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f2888,f652,f210])).
% 32.11/5.99 thf(f2888,plain,(
% 32.11/5.99 (c2 != c4) | ~spl0_55),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f2887,f16])).
% 32.11/5.99 thf(f2887,plain,(
% 32.11/5.99 (c2 != c4) | (c4 = (g @ c3 @ c1)) | ~spl0_55),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f2150,f27])).
% 32.11/5.99 thf(f2150,plain,(
% 32.11/5.99 (c4 = (g @ c3 @ (s @ c8))) | (c2 != c4) | ~spl0_55),
% 32.11/5.99 inference(superposition,[status(thm)],[f9,f654])).
% 32.11/5.99 thf(f2328,plain,(
% 32.11/5.99 spl0_70 | spl0_50 | ~spl0_66),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f2327,f943,f479,f990])).
% 32.11/5.99 thf(f2327,plain,(
% 32.11/5.99 (c8 = (s @ (s @ c5))) | (spl0_50 | ~spl0_66)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f2326,f480])).
% 32.11/5.99 thf(f2326,plain,(
% 32.11/5.99 (c8 = (s @ (s @ c5))) | (c8 = c1) | ~spl0_66),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f2322])).
% 32.11/5.99 thf(f2322,plain,(
% 32.11/5.99 (c5 != c5) | (c8 = (s @ (s @ c5))) | (c8 = c1) | ~spl0_66),
% 32.11/5.99 inference(superposition,[status(thm)],[f22,f945])).
% 32.11/5.99 thf(f945,plain,(
% 32.11/5.99 (c5 = (g @ (s @ (s @ c5)) @ c8)) | ~spl0_66),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f943])).
% 32.11/5.99 thf(f1268,plain,(
% 32.11/5.99 spl0_9 | ~spl0_50),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f1267])).
% 32.11/5.99 thf(f1267,plain,(
% 32.11/5.99 $false | (spl0_9 | ~spl0_50)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f1266,f154])).
% 32.11/5.99 thf(f1266,plain,(
% 32.11/5.99 (c1 = c2) | ~spl0_50),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f1263,f25])).
% 32.11/5.99 thf(f1263,plain,(
% 32.11/5.99 (c1 = (s @ c1)) | ~spl0_50),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f27,f481])).
% 32.11/5.99 thf(f481,plain,(
% 32.11/5.99 (c8 = c1) | ~spl0_50),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f479])).
% 32.11/5.99 thf(f1187,plain,(
% 32.11/5.99 spl0_1 | ~spl0_49),
% 32.11/5.99 inference(avatar_contradiction_clause,[status(thm)],[f1186])).
% 32.11/5.99 thf(f1186,plain,(
% 32.11/5.99 $false | (spl0_1 | ~spl0_49)),
% 32.11/5.99 inference(subsumption_resolution,[status(thm)],[f1185,f117])).
% 32.11/5.99 thf(f1185,plain,(
% 32.11/5.99 (c1 = c3) | ~spl0_49),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f1159,f13])).
% 32.11/5.99 thf(f1159,plain,(
% 32.11/5.99 (c1 = (s @ c2)) | ~spl0_49),
% 32.11/5.99 inference(backward_demodulation,[status(thm)],[f27,f477])).
% 32.11/5.99 thf(f477,plain,(
% 32.11/5.99 (c8 = c2) | ~spl0_49),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f475])).
% 32.11/5.99 thf(f1095,plain,(
% 32.11/5.99 spl0_27 | ~spl0_43),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f1094,f428,f275])).
% 32.11/5.99 thf(f1094,plain,(
% 32.11/5.99 (c2 = (g @ c8 @ c2)) | ~spl0_43),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f1083])).
% 32.11/5.99 thf(f1083,plain,(
% 32.11/5.99 (c2 = (g @ c8 @ c2)) | (c4 != c4) | ~spl0_43),
% 32.11/5.99 inference(superposition,[status(thm)],[f65,f430])).
% 32.11/5.99 thf(f430,plain,(
% 32.11/5.99 (c4 = (g @ c8 @ c3)) | ~spl0_43),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f428])).
% 32.11/5.99 thf(f1008,plain,(
% 32.11/5.99 spl0_50 | spl0_70 | ~spl0_45),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f983,f441,f990,f479])).
% 32.11/5.99 thf(f983,plain,(
% 32.11/5.99 (c8 = c1) | (c8 = (s @ (s @ c5))) | ~spl0_45),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f979])).
% 32.11/5.99 thf(f979,plain,(
% 32.11/5.99 (c5 != c5) | (c8 = c1) | (c8 = (s @ (s @ c5))) | ~spl0_45),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f443])).
% 32.11/5.99 thf(f443,plain,(
% 32.11/5.99 (c5 = (g @ c8 @ (s @ (s @ c5)))) | ~spl0_45),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f441])).
% 32.11/5.99 thf(f881,plain,(
% 32.11/5.99 spl0_50 | ~spl0_40),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f880,f383,f479])).
% 32.11/5.99 thf(f880,plain,(
% 32.11/5.99 (c8 = c1) | ~spl0_40),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f879])).
% 32.11/5.99 thf(f879,plain,(
% 32.11/5.99 (c8 = c1) | (c5 != c5) | ~spl0_40),
% 32.11/5.99 inference(duplicate_literal_removal,[status(thm)],[f876])).
% 32.11/5.99 thf(f876,plain,(
% 32.11/5.99 (c8 = c1) | (c5 != c5) | (c8 = c1) | ~spl0_40),
% 32.11/5.99 inference(superposition,[status(thm)],[f22,f385])).
% 32.11/5.99 thf(f385,plain,(
% 32.11/5.99 (c5 = (g @ c1 @ c8)) | ~spl0_40),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f383])).
% 32.11/5.99 thf(f747,plain,(
% 32.11/5.99 spl0_1 | ~spl0_51 | ~spl0_53),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f702,f609,f601,f115])).
% 32.11/5.99 thf(f702,plain,(
% 32.11/5.99 (c1 = c3) | (~spl0_51 | ~spl0_53)),
% 32.11/5.99 inference(forward_demodulation,[status(thm)],[f628,f611])).
% 32.11/5.99 thf(f628,plain,(
% 32.11/5.99 (c1 = (g @ c4 @ c8)) | ~spl0_51),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f620])).
% 32.11/5.99 thf(f620,plain,(
% 32.11/5.99 (c3 != c3) | (c1 = (g @ c4 @ c8)) | ~spl0_51),
% 32.11/5.99 inference(superposition,[status(thm)],[f70,f603])).
% 32.11/5.99 thf(f720,plain,(
% 32.11/5.99 ~spl0_1 | ~spl0_30),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f554,f289,f115])).
% 32.11/5.99 thf(f554,plain,(
% 32.11/5.99 (c1 != c3) | ~spl0_30),
% 32.11/5.99 inference(superposition,[status(thm)],[f14,f291])).
% 32.11/5.99 thf(f545,plain,(
% 32.11/5.99 spl0_50 | ~spl0_29),
% 32.11/5.99 inference(avatar_split_clause,[status(thm)],[f544,f285,f479])).
% 32.11/5.99 thf(f544,plain,(
% 32.11/5.99 (c8 = c1) | ~spl0_29),
% 32.11/5.99 inference(trivial_inequality_removal,[status(thm)],[f543])).
% 32.11/5.99 thf(f543,plain,(
% 32.11/5.99 (c8 = c1) | (c5 != c5) | ~spl0_29),
% 32.11/5.99 inference(duplicate_literal_removal,[status(thm)],[f539])).
% 32.11/5.99 thf(f539,plain,(
% 32.11/5.99 (c5 != c5) | (c8 = c1) | (c8 = c1) | ~spl0_29),
% 32.11/5.99 inference(superposition,[status(thm)],[f21,f287])).
% 32.11/5.99 thf(f287,plain,(
% 32.11/5.99 (c5 = (g @ c8 @ c1)) | ~spl0_29),
% 32.11/5.99 inference(avatar_component_clause,[status(thm)],[f285])).
% 32.11/5.99 % SZS output end Proof for DTF2THF_28414
% 32.11/5.99 % (28639)------------------------------
% 32.11/5.99 % (28639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.11/5.99 % (28639)Termination reason: Refutation
% 32.11/5.99
% 32.11/5.99 % (28639)Memory used [KB]: 12920
% 32.11/5.99 % (28639)Time elapsed: 2.241 s
% 32.11/5.99 % (28639)Instructions burned: 4662 (million)
% 32.11/5.99 % (28639)------------------------------
% 32.11/5.99 % (28639)------------------------------
% 32.11/5.99 % (28513)Success in time 4.937 s
%------------------------------------------------------------------------------