TSTP Solution File: PUZ127^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ127^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:50:36 EDT 2024
% Result : Theorem 4.25s 1.00s
% Output : Refutation 4.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ127^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:02:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (13893)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (13896)WARNING: value z3 for option sas not known
% 0.14/0.38 % (13894)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (13897)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (13895)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (13896)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (13898)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (13899)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (13900)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (13900)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (13901)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.39 % (13902)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.14/0.39 % (13903)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.14/0.40 % (13901)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.40 % (13902)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.40 % Exception at run slice level
% 0.14/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.41 % (13904)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 4.25/0.96 % (13903)First to succeed.
% 4.25/1.00 % (13903)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13893"
% 4.25/1.00 % (13903)Refutation found. Thanks to Tanya!
% 4.25/1.00 % SZS status Theorem for theBenchmark
% 4.25/1.00 % SZS output start Proof for theBenchmark
% 4.25/1.00 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 4.25/1.00 thf(func_def_1, type, g: $i > $i > $i).
% 4.25/1.00 thf(func_def_6, type, s: $i > $i).
% 4.25/1.00 thf(func_def_11, type, sP0: $i > $i > $o).
% 4.25/1.00 thf(func_def_13, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 4.25/1.00 thf(func_def_14, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 4.25/1.00 thf(func_def_15, type, vAND: $o > $o > $o).
% 4.25/1.00 thf(func_def_16, type, vOR: $o > $o > $o).
% 4.25/1.00 thf(func_def_17, type, vIMP: $o > $o > $o).
% 4.25/1.00 thf(func_def_18, type, vNOT: $o > $o).
% 4.25/1.00 thf(func_def_19, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 4.25/1.00 thf(f25129,plain,(
% 4.25/1.00 $false),
% 4.25/1.00 inference(avatar_sat_refutation,[],[f839,f845,f850,f999,f1055,f1470,f1507,f1745,f2020,f2106,f2157,f2271,f2314,f2530,f2583,f2675,f2770,f2878,f3028,f3063,f3102,f3866,f4737,f4847,f4911,f4938,f5059,f5148,f5164,f5381,f5384,f6041,f6586,f6599,f6609,f6786,f7141,f7654,f7693,f7911,f7914,f7990,f8010,f8077,f8118,f8131,f8146,f8167,f8229,f8260,f8264,f8354,f8487,f8822,f8876,f8880,f8937,f8964,f9052,f9089,f9163,f9452,f9454,f9689,f9792,f10148,f10218,f10616,f10620,f10622,f10633,f10647,f10674,f10736,f10739,f10740,f10842,f10850,f10874,f10879,f11118,f11132,f11250,f11492,f11549,f11626,f11730,f11858,f11914,f11944,f12004,f12020,f12021,f12028,f12152,f12168,f12191,f12230,f12325,f12335,f12338,f12348,f12379,f12382,f12385,f12406,f12752,f12758,f12761,f12898,f12906,f12945,f12958,f13120,f13159,f13181,f13215,f13218,f13221,f13314,f13315,f13327,f13656,f13680,f13686,f13691,f13716,f13720,f13724,f13738,f13991,f14013,f14058,f14061,f14078,f14082,f14152,f14170,f14174,f14315,f14318,f14325,f14329,f14336,f14341,f14465,f14469,f14478,f14706,f14721,f14984,f15070,f15079,f15084,f15088,f15124,f15129,f15161,f15229,f15239,f15244,f15270,f15273,f15338,f15842,f15917,f15992,f16005,f16041,f16051,f16054,f16066,f16292,f16825,f16998,f17043,f17716,f17724,f17746,f17846,f17851,f17962,f18035,f18036,f18137,f18241,f18282,f18300,f18372,f18411,f18549,f18585,f18683,f18757,f18779,f18950,f19006,f19009,f19024,f19059,f19078,f19326,f19628,f19643,f19646,f19652,f19854,f19924,f20111,f20121,f20130,f20134,f20155,f20179,f20243,f20249,f20253,f20258,f20270,f20278,f20282,f20298,f20309,f20345,f20481,f20534,f20691,f20751,f20888,f21092,f21121,f21135,f21186,f21299,f21317,f21321,f21329,f21351,f21369,f21371,f21443,f21551,f21554,f21604,f21791,f21797,f21832,f21865,f21947,f21986,f22169,f22175,f22178,f22190,f22263,f22411,f22442,f22450,f22626,f22679,f22682,f22712,f22736,f22745,f22831,f22870,f22873,f22876,f22886,f22910,f22935,f22938,f23070,f23390,f23598,f23646,f23649,f23658,f23680,f23700,f23706,f23787,f23794,f23798,f23840,f23962,f23978,f24009,f24046,f24065,f24071,f24120,f24148,f24306,f24346,f24396,f24402,f24450,f25014,f25075,f25078,f25084,f25094,f25113,f25117])).
% 4.25/1.00 thf(f25117,plain,(
% 4.25/1.00 spl1_11 | ~spl1_126 | ~spl1_136),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f25116])).
% 4.25/1.00 thf(f25116,plain,(
% 4.25/1.00 $false | (spl1_11 | ~spl1_126 | ~spl1_136)),
% 4.25/1.00 inference(subsumption_resolution,[],[f25115,f184])).
% 4.25/1.00 thf(f184,plain,(
% 4.25/1.00 (c1 != c4) | spl1_11),
% 4.25/1.00 inference(avatar_component_clause,[],[f182])).
% 4.25/1.00 thf(f182,plain,(
% 4.25/1.00 spl1_11 <=> (c1 = c4)),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])).
% 4.25/1.00 thf(f25115,plain,(
% 4.25/1.00 (c1 = c4) | (~spl1_126 | ~spl1_136)),
% 4.25/1.00 inference(forward_demodulation,[],[f3278,f3235])).
% 4.25/1.00 thf(f3235,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | ~spl1_126),
% 4.25/1.00 inference(avatar_component_clause,[],[f3233])).
% 4.25/1.00 thf(f3233,plain,(
% 4.25/1.00 spl1_126 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_126])])).
% 4.25/1.00 thf(f3278,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | ~spl1_136),
% 4.25/1.00 inference(avatar_component_clause,[],[f3276])).
% 4.25/1.00 thf(f3276,plain,(
% 4.25/1.00 spl1_136 <=> (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_136])])).
% 4.25/1.00 thf(f25113,plain,(
% 4.25/1.00 spl1_47 | ~spl1_171 | ~spl1_210),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f25112])).
% 4.25/1.00 thf(f25112,plain,(
% 4.25/1.00 $false | (spl1_47 | ~spl1_171 | ~spl1_210)),
% 4.25/1.00 inference(subsumption_resolution,[],[f25111,f456])).
% 4.25/1.00 thf(f456,plain,(
% 4.25/1.00 (c3 != c4) | spl1_47),
% 4.25/1.00 inference(avatar_component_clause,[],[f454])).
% 4.25/1.00 thf(f454,plain,(
% 4.25/1.00 spl1_47 <=> (c3 = c4)),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_47])])).
% 4.25/1.00 thf(f25111,plain,(
% 4.25/1.00 (c3 = c4) | (~spl1_171 | ~spl1_210)),
% 4.25/1.00 inference(backward_demodulation,[],[f5912,f4176])).
% 4.25/1.00 thf(f4176,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_171),
% 4.25/1.00 inference(avatar_component_clause,[],[f4174])).
% 4.25/1.00 thf(f4174,plain,(
% 4.25/1.00 spl1_171 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_171])])).
% 4.25/1.00 thf(f5912,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_210),
% 4.25/1.00 inference(avatar_component_clause,[],[f5910])).
% 4.25/1.00 thf(f5910,plain,(
% 4.25/1.00 spl1_210 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_210])])).
% 4.25/1.00 thf(f25094,plain,(
% 4.25/1.00 spl1_243 | spl1_246 | spl1_27 | spl1_242 | spl1_244),
% 4.25/1.00 inference(avatar_split_clause,[],[f25093,f8331,f8323,f331,f8351,f8327])).
% 4.25/1.00 thf(f8327,plain,(
% 4.25/1.00 spl1_243 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_243])])).
% 4.25/1.00 thf(f8351,plain,(
% 4.25/1.00 spl1_246 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_246])])).
% 4.25/1.00 thf(f331,plain,(
% 4.25/1.00 spl1_27 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_27])])).
% 4.25/1.00 thf(f8323,plain,(
% 4.25/1.00 spl1_242 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_242])])).
% 4.25/1.00 thf(f8331,plain,(
% 4.25/1.00 spl1_244 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_244])])).
% 4.25/1.00 thf(f25093,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (spl1_27 | spl1_242 | spl1_244)),
% 4.25/1.00 inference(subsumption_resolution,[],[f25092,f8324])).
% 4.25/1.00 thf(f8324,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | spl1_242),
% 4.25/1.00 inference(avatar_component_clause,[],[f8323])).
% 4.25/1.00 thf(f25092,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (spl1_27 | spl1_244)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21999,f332])).
% 4.25/1.00 thf(f332,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | spl1_27),
% 4.25/1.00 inference(avatar_component_clause,[],[f331])).
% 4.25/1.00 thf(f21999,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | spl1_244),
% 4.25/1.00 inference(subsumption_resolution,[],[f19888,f8332])).
% 4.25/1.00 thf(f8332,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | spl1_244),
% 4.25/1.00 inference(avatar_component_clause,[],[f8331])).
% 4.25/1.00 thf(f19888,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4))),
% 4.25/1.00 inference(superposition,[],[f6304,f35])).
% 4.25/1.00 thf(f35,plain,(
% 4.25/1.00 (c5 = vAPP($i,$i,s,c4))),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f12,plain,(
% 4.25/1.00 ! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c4) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c1)) & (c5 = vAPP($i,$i,s,c4)) & (c4 = vAPP($i,$i,s,c3)) & (c3 = vAPP($i,$i,s,c2)) & (c2 = vAPP($i,$i,s,c1)) & (vAPP($i,$i,s,c8) = c1) & ! [X2,X3] : ((c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X2),c8)) & (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X2),c1)) & (c1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X3)) & (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X3))) & ! [X4,X5] : (((c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),X5)) | (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),vAPP($i,$i,s,X5)))) & ((c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),vAPP($i,$i,s,X5))) | (c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),X5)))) & ! [X6,X7] : (((c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X6),X7)) | (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X6)),X7))) & ((c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X6)),X7)) | (c1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X6),X7)))) & ! [X8,X9] : (((c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X8),X9)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X8),X9))) & (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X8),X9)) | (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X8),X9)))) & ! [X10] : (vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,X10)))) != X10) & (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c8)))))))))),
% 4.25/1.00 inference(nnf_transformation,[],[f8])).
% 4.25/1.00 thf(f8,plain,(
% 4.25/1.00 ! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c4) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c1)) & (c5 = vAPP($i,$i,s,c4)) & (c4 = vAPP($i,$i,s,c3)) & (c3 = vAPP($i,$i,s,c2)) & (c2 = vAPP($i,$i,s,c1)) & (vAPP($i,$i,s,c8) = c1) & ! [X2,X3] : ((c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X2),c8)) & (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X2),c1)) & (c1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X3)) & (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X3))) & ! [X4,X5] : ((c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),X5)) <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),vAPP($i,$i,s,X5)))) & ! [X6,X7] : ((c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X6),X7)) <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X6)),X7))) & ! [X8,X9] : ((c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X8),X9)) <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X8),X9))) & ! [X10] : (vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,X10)))) != X10) & (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c8)))))))))),
% 4.25/1.00 inference(definition_folding,[],[f6,f7])).
% 4.25/1.00 thf(f7,plain,(
% 4.25/1.00 ! [X9,X8] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X8),X9)) <=> (((c1 = X9) & (c1 = X8)) | ((c8 = X9) & (c8 = X8))))),
% 4.25/1.00 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 4.25/1.00 thf(f6,plain,(
% 4.25/1.00 ! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c4) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c1)) & (c5 = vAPP($i,$i,s,c4)) & (c4 = vAPP($i,$i,s,c3)) & (c3 = vAPP($i,$i,s,c2)) & (c2 = vAPP($i,$i,s,c1)) & (vAPP($i,$i,s,c8) = c1) & ! [X2,X3] : ((c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X2),c8)) & (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X2),c1)) & (c1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X3)) & (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X3))) & ! [X4,X5] : ((c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),X5)) <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),vAPP($i,$i,s,X5)))) & ! [X6,X7] : ((c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X6),X7)) <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X6)),X7))) & ! [X8,X9] : ((c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X8),X9)) <=> (((c1 = X9) & (c1 = X8)) | ((c8 = X9) & (c8 = X8)))) & ! [X10] : (vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,X10)))) != X10) & (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c8)))))))))),
% 4.25/1.00 inference(flattening,[],[f5])).
% 4.25/1.00 thf(f5,plain,(
% 4.25/1.00 ~~(! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c4) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c1)) & (c5 = vAPP($i,$i,s,c4)) & (c4 = vAPP($i,$i,s,c3)) & (c3 = vAPP($i,$i,s,c2)) & (c2 = vAPP($i,$i,s,c1)) & (vAPP($i,$i,s,c8) = c1) & ! [X2,X3] : ((c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X2),c8)) & (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X2),c1)) & (c1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X3)) & (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X3))) & ! [X4,X5] : ((c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),X5)) <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),vAPP($i,$i,s,X5)))) & ! [X6,X7] : ((c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X6),X7)) <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X6)),X7))) & ! [X8,X9] : ((c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X8),X9)) <=> (((c1 = X9) & (c1 = X8)) | ((c8 = X9) & (c8 = X8)))) & ! [X10] : (vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,X10)))) != X10) & (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c8))))))))))),
% 4.25/1.00 inference(rectify,[],[f2])).
% 4.25/1.00 thf(f2,negated_conjecture,(
% 4.25/1.00 ~~(! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c4) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c1)) & (c5 = vAPP($i,$i,s,c4)) & (c4 = vAPP($i,$i,s,c3)) & (c3 = vAPP($i,$i,s,c2)) & (c2 = vAPP($i,$i,s,c1)) & (vAPP($i,$i,s,c8) = c1) & ! [X0,X1] : ((c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c8)) & (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c1)) & (c1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X1)) & (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X1))) & ! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) <=> (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),vAPP($i,$i,s,X1)) = c4)) & ! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c1) <=> (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X0)),X1) = c3)) & ! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5) <=> (((c1 = X1) & (c1 = X0)) | ((c8 = X1) & (c8 = X0)))) & ! [X0] : (vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,X0)))) != X0) & (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c8))))))))))),
% 4.25/1.00 inference(negated_conjecture,[],[f1])).
% 4.25/1.00 thf(f1,conjecture,(
% 4.25/1.00 ~(! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c4) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c1)) & (c5 = vAPP($i,$i,s,c4)) & (c4 = vAPP($i,$i,s,c3)) & (c3 = vAPP($i,$i,s,c2)) & (c2 = vAPP($i,$i,s,c1)) & (vAPP($i,$i,s,c8) = c1) & ! [X0,X1] : ((c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c8)) & (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c1)) & (c1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X1)) & (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X1))) & ! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) <=> (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),vAPP($i,$i,s,X1)) = c4)) & ! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c1) <=> (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X0)),X1) = c3)) & ! [X0,X1] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5) <=> (((c1 = X1) & (c1 = X0)) | ((c8 = X1) & (c8 = X0)))) & ! [X0] : (vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,X0)))) != X0) & (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c8))))))))))),
% 4.25/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTOUGHNUT2)).
% 4.25/1.00 thf(f6304,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,X0))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0))) )),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f6289])).
% 4.25/1.00 thf(f6289,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,X0))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0))) )),
% 4.25/1.00 inference(superposition,[],[f25,f474])).
% 4.25/1.00 thf(f474,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0))) )),
% 4.25/1.00 inference(superposition,[],[f132,f45])).
% 4.25/1.00 thf(f45,plain,(
% 4.25/1.00 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 inference(forward_demodulation,[],[f44,f35])).
% 4.25/1.00 thf(f44,plain,(
% 4.25/1.00 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c4)))))),
% 4.25/1.00 inference(forward_demodulation,[],[f43,f34])).
% 4.25/1.00 thf(f34,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,s,c3))),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f43,plain,(
% 4.25/1.00 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c3))))))),
% 4.25/1.00 inference(forward_demodulation,[],[f42,f33])).
% 4.25/1.00 thf(f33,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,s,c2))),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f42,plain,(
% 4.25/1.00 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c2)))))))),
% 4.25/1.00 inference(forward_demodulation,[],[f41,f32])).
% 4.25/1.00 thf(f32,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,s,c1))),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f41,plain,(
% 4.25/1.00 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c1))))))))),
% 4.25/1.00 inference(forward_demodulation,[],[f19,f31])).
% 4.25/1.00 thf(f31,plain,(
% 4.25/1.00 (vAPP($i,$i,s,c8) = c1)),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f19,plain,(
% 4.25/1.00 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c8)))))))))),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f132,plain,(
% 4.25/1.00 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X0)),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c4) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5)) )),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f119])).
% 4.25/1.00 thf(f119,plain,(
% 4.25/1.00 ( ! [X0 : $i,X1 : $i] : ((c1 != c1) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X0)),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c4) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5)) )),
% 4.25/1.00 inference(superposition,[],[f23,f36])).
% 4.25/1.00 thf(f36,plain,(
% 4.25/1.00 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c1) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c4) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c3) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c2) | (vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),X1) = c5)) )),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f23,plain,(
% 4.25/1.00 ( ! [X6 : $i,X7 : $i] : ((c1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X6),X7)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X6)),X7))) )),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f25,plain,(
% 4.25/1.00 ( ! [X4 : $i,X5 : $i] : ((c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),X5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),vAPP($i,$i,s,X5)))) )),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f25084,plain,(
% 4.25/1.00 spl1_228 | spl1_237 | spl1_235 | spl1_236 | spl1_256),
% 4.25/1.00 inference(avatar_split_clause,[],[f25083,f11144,f8106,f8102,f8110,f8001])).
% 4.25/1.00 thf(f8001,plain,(
% 4.25/1.00 spl1_228 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_228])])).
% 4.25/1.00 thf(f8110,plain,(
% 4.25/1.00 spl1_237 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_237])])).
% 4.25/1.00 thf(f8102,plain,(
% 4.25/1.00 spl1_235 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_235])])).
% 4.25/1.00 thf(f8106,plain,(
% 4.25/1.00 spl1_236 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_236])])).
% 4.25/1.00 thf(f11144,plain,(
% 4.25/1.00 spl1_256 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_256])])).
% 4.25/1.00 thf(f25083,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (spl1_235 | spl1_236 | spl1_256)),
% 4.25/1.00 inference(subsumption_resolution,[],[f25082,f8103])).
% 4.25/1.00 thf(f8103,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | spl1_235),
% 4.25/1.00 inference(avatar_component_clause,[],[f8102])).
% 4.25/1.00 thf(f25082,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_236 | spl1_256)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24998,f8107])).
% 4.25/1.00 thf(f8107,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | spl1_236),
% 4.25/1.00 inference(avatar_component_clause,[],[f8106])).
% 4.25/1.00 thf(f24998,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | spl1_256),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f24995])).
% 4.25/1.00 thf(f24995,plain,(
% 4.25/1.00 (c4 != c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | spl1_256),
% 4.25/1.00 inference(superposition,[],[f11145,f4838])).
% 4.25/1.00 thf(f4838,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,X0))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0))) )),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f4823])).
% 4.25/1.00 thf(f4823,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,X0))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0))) )),
% 4.25/1.00 inference(superposition,[],[f25,f470])).
% 4.25/1.00 thf(f470,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0))) )),
% 4.25/1.00 inference(superposition,[],[f132,f34])).
% 4.25/1.00 thf(f11145,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_256),
% 4.25/1.00 inference(avatar_component_clause,[],[f11144])).
% 4.25/1.00 thf(f25078,plain,(
% 4.25/1.00 spl1_161 | spl1_223 | spl1_54 | spl1_160 | spl1_162),
% 4.25/1.00 inference(avatar_split_clause,[],[f25077,f4078,f4070,f935,f7969,f4074])).
% 4.25/1.00 thf(f4074,plain,(
% 4.25/1.00 spl1_161 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_161])])).
% 4.25/1.00 thf(f7969,plain,(
% 4.25/1.00 spl1_223 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_223])])).
% 4.25/1.00 thf(f935,plain,(
% 4.25/1.00 spl1_54 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_54])])).
% 4.25/1.00 thf(f4070,plain,(
% 4.25/1.00 spl1_160 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_160])])).
% 4.25/1.00 thf(f4078,plain,(
% 4.25/1.00 spl1_162 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_162])])).
% 4.25/1.00 thf(f25077,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (spl1_54 | spl1_160 | spl1_162)),
% 4.25/1.00 inference(subsumption_resolution,[],[f25076,f4079])).
% 4.25/1.00 thf(f4079,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | spl1_162),
% 4.25/1.00 inference(avatar_component_clause,[],[f4078])).
% 4.25/1.00 thf(f25076,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (spl1_54 | spl1_160)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24670,f4071])).
% 4.25/1.00 thf(f4071,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | spl1_160),
% 4.25/1.00 inference(avatar_component_clause,[],[f4070])).
% 4.25/1.00 thf(f24670,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | spl1_54),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f24668])).
% 4.25/1.00 thf(f24668,plain,(
% 4.25/1.00 (c3 != c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | spl1_54),
% 4.25/1.00 inference(superposition,[],[f936,f132])).
% 4.25/1.00 thf(f936,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | spl1_54),
% 4.25/1.00 inference(avatar_component_clause,[],[f935])).
% 4.25/1.00 thf(f25075,plain,(
% 4.25/1.00 spl1_252 | spl1_139 | spl1_140 | spl1_198),
% 4.25/1.00 inference(avatar_split_clause,[],[f25074,f4377,f3323,f3319,f10951])).
% 4.25/1.00 thf(f10951,plain,(
% 4.25/1.00 spl1_252 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_252])])).
% 4.25/1.00 thf(f3319,plain,(
% 4.25/1.00 spl1_139 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_139])])).
% 4.25/1.00 thf(f3323,plain,(
% 4.25/1.00 spl1_140 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_140])])).
% 4.25/1.00 thf(f4377,plain,(
% 4.25/1.00 spl1_198 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_198])])).
% 4.25/1.00 thf(f25074,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | (spl1_140 | spl1_198)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24970,f3324])).
% 4.25/1.00 thf(f3324,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | spl1_140),
% 4.25/1.00 inference(avatar_component_clause,[],[f3323])).
% 4.25/1.00 thf(f24970,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | spl1_198),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f24967])).
% 4.25/1.00 thf(f24967,plain,(
% 4.25/1.00 (c4 != c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | spl1_198),
% 4.25/1.00 inference(superposition,[],[f4378,f1405])).
% 4.25/1.00 thf(f1405,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,X0))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0))) )),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f1390])).
% 4.25/1.00 thf(f1390,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,X0))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0))) )),
% 4.25/1.00 inference(superposition,[],[f25,f490])).
% 4.25/1.00 thf(f490,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0))) )),
% 4.25/1.00 inference(subsumption_resolution,[],[f472,f27])).
% 4.25/1.00 thf(f27,plain,(
% 4.25/1.00 ( ! [X3 : $i] : ((c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X3))) )),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f472,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0))) )),
% 4.25/1.00 inference(superposition,[],[f132,f32])).
% 4.25/1.00 thf(f4378,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_198),
% 4.25/1.00 inference(avatar_component_clause,[],[f4377])).
% 4.25/1.00 thf(f25014,plain,(
% 4.25/1.00 spl1_8 | ~spl1_134 | ~spl1_259),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f25013])).
% 4.25/1.00 thf(f25013,plain,(
% 4.25/1.00 $false | (spl1_8 | ~spl1_134 | ~spl1_259)),
% 4.25/1.00 inference(subsumption_resolution,[],[f25012,f170])).
% 4.25/1.00 thf(f170,plain,(
% 4.25/1.00 (c1 != c2) | spl1_8),
% 4.25/1.00 inference(avatar_component_clause,[],[f168])).
% 4.25/1.00 thf(f168,plain,(
% 4.25/1.00 spl1_8 <=> (c1 = c2)),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 4.25/1.00 thf(f25012,plain,(
% 4.25/1.00 (c1 = c2) | (~spl1_134 | ~spl1_259)),
% 4.25/1.00 inference(forward_demodulation,[],[f25011,f24508])).
% 4.25/1.00 thf(f24508,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_134),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f24500])).
% 4.25/1.00 thf(f24500,plain,(
% 4.25/1.00 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_134),
% 4.25/1.00 inference(superposition,[],[f81,f3270])).
% 4.25/1.00 thf(f3270,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | ~spl1_134),
% 4.25/1.00 inference(avatar_component_clause,[],[f3268])).
% 4.25/1.00 thf(f3268,plain,(
% 4.25/1.00 spl1_134 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_134])])).
% 4.25/1.00 thf(f81,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c8)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),vAPP($i,$i,s,vAPP($i,$i,s,c5))))) )),
% 4.25/1.00 inference(superposition,[],[f26,f45])).
% 4.25/1.00 thf(f26,plain,(
% 4.25/1.00 ( ! [X4 : $i,X5 : $i] : ((c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),vAPP($i,$i,s,X5))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X4),X5))) )),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f25011,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_259),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f25006])).
% 4.25/1.00 thf(f25006,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_259),
% 4.25/1.00 inference(superposition,[],[f71,f11278])).
% 4.25/1.00 thf(f11278,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_259),
% 4.25/1.00 inference(avatar_component_clause,[],[f11276])).
% 4.25/1.00 thf(f11276,plain,(
% 4.25/1.00 spl1_259 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_259])])).
% 4.25/1.00 thf(f71,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0))) )),
% 4.25/1.00 inference(superposition,[],[f24,f34])).
% 4.25/1.00 thf(f24,plain,(
% 4.25/1.00 ( ! [X6 : $i,X7 : $i] : ((c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,X6)),X7)) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X6),X7))) )),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f24450,plain,(
% 4.25/1.00 spl1_255 | spl1_126 | spl1_149 | spl1_151 | spl1_250),
% 4.25/1.00 inference(avatar_split_clause,[],[f24449,f10856,f3649,f3641,f3233,f11140])).
% 4.25/1.00 thf(f11140,plain,(
% 4.25/1.00 spl1_255 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_255])])).
% 4.25/1.00 thf(f3641,plain,(
% 4.25/1.00 spl1_149 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_149])])).
% 4.25/1.00 thf(f3649,plain,(
% 4.25/1.00 spl1_151 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_151])])).
% 4.25/1.00 thf(f10856,plain,(
% 4.25/1.00 spl1_250 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_250])])).
% 4.25/1.00 thf(f24449,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_149 | spl1_151 | spl1_250)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24448,f10857])).
% 4.25/1.00 thf(f10857,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_250),
% 4.25/1.00 inference(avatar_component_clause,[],[f10856])).
% 4.25/1.00 thf(f24448,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_149 | spl1_151)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23433,f3642])).
% 4.25/1.00 thf(f3642,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_149),
% 4.25/1.00 inference(avatar_component_clause,[],[f3641])).
% 4.25/1.00 thf(f23433,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_151),
% 4.25/1.00 inference(subsumption_resolution,[],[f9972,f3650])).
% 4.25/1.00 thf(f3650,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_151),
% 4.25/1.00 inference(avatar_component_clause,[],[f3649])).
% 4.25/1.00 thf(f9972,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 inference(superposition,[],[f6212,f45])).
% 4.25/1.00 thf(f6212,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,X0))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0))) )),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f6191])).
% 4.25/1.00 thf(f6191,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,X0))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0))) )),
% 4.25/1.00 inference(superposition,[],[f25,f471])).
% 4.25/1.00 thf(f471,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0))) )),
% 4.25/1.00 inference(superposition,[],[f132,f33])).
% 4.25/1.00 thf(f24402,plain,(
% 4.25/1.00 spl1_252 | spl1_139 | spl1_25 | ~spl1_94 | spl1_140),
% 4.25/1.00 inference(avatar_split_clause,[],[f24401,f3323,f2181,f321,f3319,f10951])).
% 4.25/1.00 thf(f321,plain,(
% 4.25/1.00 spl1_25 <=> (c2 = c4)),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_25])])).
% 4.25/1.00 thf(f2181,plain,(
% 4.25/1.00 spl1_94 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_94])])).
% 4.25/1.00 thf(f24401,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_94 | spl1_140)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24400,f3324])).
% 4.25/1.00 thf(f24400,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_94)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24280,f323])).
% 4.25/1.00 thf(f323,plain,(
% 4.25/1.00 (c2 != c4) | spl1_25),
% 4.25/1.00 inference(avatar_component_clause,[],[f321])).
% 4.25/1.00 thf(f24280,plain,(
% 4.25/1.00 (c2 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | ~spl1_94),
% 4.25/1.00 inference(superposition,[],[f2183,f1405])).
% 4.25/1.00 thf(f2183,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_94),
% 4.25/1.00 inference(avatar_component_clause,[],[f2181])).
% 4.25/1.00 thf(f24396,plain,(
% 4.25/1.00 spl1_210 | spl1_165 | spl1_113 | spl1_175 | spl1_177),
% 4.25/1.00 inference(avatar_split_clause,[],[f24395,f4200,f4192,f2587,f4092,f5910])).
% 4.25/1.00 thf(f4092,plain,(
% 4.25/1.00 spl1_165 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_165])])).
% 4.25/1.00 thf(f2587,plain,(
% 4.25/1.00 spl1_113 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_113])])).
% 4.25/1.00 thf(f4192,plain,(
% 4.25/1.00 spl1_175 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_175])])).
% 4.25/1.00 thf(f4200,plain,(
% 4.25/1.00 spl1_177 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_177])])).
% 4.25/1.00 thf(f24395,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (spl1_113 | spl1_175 | spl1_177)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24394,f4201])).
% 4.25/1.00 thf(f4201,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | spl1_177),
% 4.25/1.00 inference(avatar_component_clause,[],[f4200])).
% 4.25/1.00 thf(f24394,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (spl1_113 | spl1_175)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22887,f2588])).
% 4.25/1.00 thf(f2588,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | spl1_113),
% 4.25/1.00 inference(avatar_component_clause,[],[f2587])).
% 4.25/1.00 thf(f22887,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | spl1_175),
% 4.25/1.00 inference(subsumption_resolution,[],[f7949,f4193])).
% 4.25/1.00 thf(f4193,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | spl1_175),
% 4.25/1.00 inference(avatar_component_clause,[],[f4192])).
% 4.25/1.00 thf(f7949,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3))),
% 4.25/1.00 inference(superposition,[],[f4781,f34])).
% 4.25/1.00 thf(f4781,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,X0))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0))) )),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f4765])).
% 4.25/1.00 thf(f4765,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,X0))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0))) )),
% 4.25/1.00 inference(superposition,[],[f25,f469])).
% 4.25/1.00 thf(f469,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0))) )),
% 4.25/1.00 inference(superposition,[],[f132,f35])).
% 4.25/1.00 thf(f24346,plain,(
% 4.25/1.00 spl1_30 | spl1_39 | spl1_29 | spl1_41),
% 4.25/1.00 inference(avatar_split_clause,[],[f24345,f424,f341,f415,f345])).
% 4.25/1.00 thf(f345,plain,(
% 4.25/1.00 spl1_30 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_30])])).
% 4.25/1.00 thf(f415,plain,(
% 4.25/1.00 spl1_39 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_39])])).
% 4.25/1.00 thf(f341,plain,(
% 4.25/1.00 spl1_29 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_29])])).
% 4.25/1.00 thf(f424,plain,(
% 4.25/1.00 spl1_41 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_41])])).
% 4.25/1.00 thf(f24345,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | (spl1_29 | spl1_41)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24344,f342])).
% 4.25/1.00 thf(f342,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | spl1_29),
% 4.25/1.00 inference(avatar_component_clause,[],[f341])).
% 4.25/1.00 thf(f24344,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | spl1_41),
% 4.25/1.00 inference(subsumption_resolution,[],[f4700,f425])).
% 4.25/1.00 thf(f425,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | spl1_41),
% 4.25/1.00 inference(avatar_component_clause,[],[f424])).
% 4.25/1.00 thf(f4700,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3))),
% 4.25/1.00 inference(superposition,[],[f295,f34])).
% 4.25/1.00 thf(f295,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,X0))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0))) )),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f279])).
% 4.25/1.00 thf(f279,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,X0))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0))) )),
% 4.25/1.00 inference(superposition,[],[f25,f133])).
% 4.25/1.00 thf(f133,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0))) )),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f117])).
% 4.25/1.00 thf(f117,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c1 != c1) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0))) )),
% 4.25/1.00 inference(superposition,[],[f28,f36])).
% 4.25/1.00 thf(f28,plain,(
% 4.25/1.00 ( ! [X3 : $i] : ((c1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X3))) )),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f24306,plain,(
% 4.25/1.00 spl1_11 | ~spl1_114 | ~spl1_231),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f24305])).
% 4.25/1.00 thf(f24305,plain,(
% 4.25/1.00 $false | (spl1_11 | ~spl1_114 | ~spl1_231)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24304,f184])).
% 4.25/1.00 thf(f24304,plain,(
% 4.25/1.00 (c1 = c4) | (~spl1_114 | ~spl1_231)),
% 4.25/1.00 inference(forward_demodulation,[],[f24303,f8076])).
% 4.25/1.00 thf(f8076,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_231),
% 4.25/1.00 inference(avatar_component_clause,[],[f8074])).
% 4.25/1.00 thf(f8074,plain,(
% 4.25/1.00 spl1_231 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_231])])).
% 4.25/1.00 thf(f24303,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_114),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f24298])).
% 4.25/1.00 thf(f24298,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_114),
% 4.25/1.00 inference(superposition,[],[f71,f2597])).
% 4.25/1.00 thf(f2597,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | ~spl1_114),
% 4.25/1.00 inference(avatar_component_clause,[],[f2595])).
% 4.25/1.00 thf(f2595,plain,(
% 4.25/1.00 spl1_114 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_114])])).
% 4.25/1.00 thf(f24148,plain,(
% 4.25/1.00 spl1_200 | spl1_134 | spl1_47 | ~spl1_131 | spl1_135),
% 4.25/1.00 inference(avatar_split_clause,[],[f24147,f3272,f3255,f454,f3268,f4844])).
% 4.25/1.00 thf(f4844,plain,(
% 4.25/1.00 spl1_200 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_200])])).
% 4.25/1.00 thf(f3255,plain,(
% 4.25/1.00 spl1_131 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_131])])).
% 4.25/1.00 thf(f3272,plain,(
% 4.25/1.00 spl1_135 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_135])])).
% 4.25/1.00 thf(f24147,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (spl1_47 | ~spl1_131 | spl1_135)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24146,f456])).
% 4.25/1.00 thf(f24146,plain,(
% 4.25/1.00 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (~spl1_131 | spl1_135)),
% 4.25/1.00 inference(forward_demodulation,[],[f24145,f3257])).
% 4.25/1.00 thf(f3257,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | ~spl1_131),
% 4.25/1.00 inference(avatar_component_clause,[],[f3255])).
% 4.25/1.00 thf(f24145,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | spl1_135),
% 4.25/1.00 inference(subsumption_resolution,[],[f22059,f3273])).
% 4.25/1.00 thf(f3273,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | spl1_135),
% 4.25/1.00 inference(avatar_component_clause,[],[f3272])).
% 4.25/1.00 thf(f22059,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8))),
% 4.25/1.00 inference(subsumption_resolution,[],[f16305,f29])).
% 4.25/1.00 thf(f29,plain,(
% 4.25/1.00 ( ! [X2 : $i] : ((c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X2),c1))) )),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f16305,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8))),
% 4.25/1.00 inference(superposition,[],[f4838,f31])).
% 4.25/1.00 thf(f24120,plain,(
% 4.25/1.00 spl1_21 | ~spl1_134 | ~spl1_255),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f24119])).
% 4.25/1.00 thf(f24119,plain,(
% 4.25/1.00 $false | (spl1_21 | ~spl1_134 | ~spl1_255)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24118,f305])).
% 4.25/1.00 thf(f305,plain,(
% 4.25/1.00 (c3 != c2) | spl1_21),
% 4.25/1.00 inference(avatar_component_clause,[],[f303])).
% 4.25/1.00 thf(f303,plain,(
% 4.25/1.00 spl1_21 <=> (c3 = c2)),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_21])])).
% 4.25/1.00 thf(f24118,plain,(
% 4.25/1.00 (c3 = c2) | (~spl1_134 | ~spl1_255)),
% 4.25/1.00 inference(forward_demodulation,[],[f24117,f11142])).
% 4.25/1.00 thf(f11142,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_255),
% 4.25/1.00 inference(avatar_component_clause,[],[f11140])).
% 4.25/1.00 thf(f24117,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_134),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f24109])).
% 4.25/1.00 thf(f24109,plain,(
% 4.25/1.00 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_134),
% 4.25/1.00 inference(superposition,[],[f81,f3270])).
% 4.25/1.00 thf(f24071,plain,(
% 4.25/1.00 spl1_267 | spl1_232 | spl1_47 | ~spl1_185 | spl1_268 | spl1_269),
% 4.25/1.00 inference(avatar_split_clause,[],[f24070,f13344,f13338,f4275,f454,f8080,f13332])).
% 4.25/1.00 thf(f13332,plain,(
% 4.25/1.00 spl1_267 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_267])])).
% 4.25/1.00 thf(f8080,plain,(
% 4.25/1.00 spl1_232 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_232])])).
% 4.25/1.00 thf(f4275,plain,(
% 4.25/1.00 spl1_185 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_185])])).
% 4.25/1.00 thf(f13338,plain,(
% 4.25/1.00 spl1_268 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_268])])).
% 4.25/1.00 thf(f13344,plain,(
% 4.25/1.00 spl1_269 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_269])])).
% 4.25/1.00 thf(f24070,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (spl1_47 | ~spl1_185 | spl1_268 | spl1_269)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24069,f456])).
% 4.25/1.00 thf(f24069,plain,(
% 4.25/1.00 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (~spl1_185 | spl1_268 | spl1_269)),
% 4.25/1.00 inference(forward_demodulation,[],[f15100,f4277])).
% 4.25/1.00 thf(f4277,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_185),
% 4.25/1.00 inference(avatar_component_clause,[],[f4275])).
% 4.25/1.00 thf(f15100,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (spl1_268 | spl1_269)),
% 4.25/1.00 inference(subsumption_resolution,[],[f13681,f13339])).
% 4.25/1.00 thf(f13339,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | spl1_268),
% 4.25/1.00 inference(avatar_component_clause,[],[f13338])).
% 4.25/1.00 thf(f13681,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | spl1_269),
% 4.25/1.00 inference(subsumption_resolution,[],[f8049,f13345])).
% 4.25/1.00 thf(f13345,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | spl1_269),
% 4.25/1.00 inference(avatar_component_clause,[],[f13344])).
% 4.25/1.00 thf(f8049,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2))),
% 4.25/1.00 inference(superposition,[],[f4838,f33])).
% 4.25/1.00 thf(f24065,plain,(
% 4.25/1.00 spl1_174 | spl1_231 | spl1_119 | spl1_179 | spl1_230),
% 4.25/1.00 inference(avatar_split_clause,[],[f24064,f8070,f4208,f2739,f8074,f4186])).
% 4.25/1.00 thf(f4186,plain,(
% 4.25/1.00 spl1_174 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_174])])).
% 4.25/1.00 thf(f2739,plain,(
% 4.25/1.00 spl1_119 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_119])])).
% 4.25/1.00 thf(f4208,plain,(
% 4.25/1.00 spl1_179 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_179])])).
% 4.25/1.00 thf(f8070,plain,(
% 4.25/1.00 spl1_230 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_230])])).
% 4.25/1.00 thf(f24064,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (spl1_119 | spl1_179 | spl1_230)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24063,f4209])).
% 4.25/1.00 thf(f4209,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | spl1_179),
% 4.25/1.00 inference(avatar_component_clause,[],[f4208])).
% 4.25/1.00 thf(f24063,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (spl1_119 | spl1_230)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24062,f2740])).
% 4.25/1.00 thf(f2740,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | spl1_119),
% 4.25/1.00 inference(avatar_component_clause,[],[f2739])).
% 4.25/1.00 thf(f24062,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | spl1_230),
% 4.25/1.00 inference(subsumption_resolution,[],[f8047,f8071])).
% 4.25/1.00 thf(f8071,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | spl1_230),
% 4.25/1.00 inference(avatar_component_clause,[],[f8070])).
% 4.25/1.00 thf(f8047,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4))),
% 4.25/1.00 inference(superposition,[],[f4838,f35])).
% 4.25/1.00 thf(f24046,plain,(
% 4.25/1.00 spl1_144 | spl1_145 | ~spl1_42 | spl1_47 | spl1_146 | spl1_245),
% 4.25/1.00 inference(avatar_split_clause,[],[f24045,f8339,f3425,f454,f429,f3421,f3417])).
% 4.25/1.00 thf(f3417,plain,(
% 4.25/1.00 spl1_144 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_144])])).
% 4.25/1.00 thf(f3421,plain,(
% 4.25/1.00 spl1_145 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_145])])).
% 4.25/1.00 thf(f429,plain,(
% 4.25/1.00 spl1_42 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_42])])).
% 4.25/1.00 thf(f3425,plain,(
% 4.25/1.00 spl1_146 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_146])])).
% 4.25/1.00 thf(f8339,plain,(
% 4.25/1.00 spl1_245 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_245])])).
% 4.25/1.00 thf(f24045,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (~spl1_42 | spl1_47 | spl1_146 | spl1_245)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24044,f456])).
% 4.25/1.00 thf(f24044,plain,(
% 4.25/1.00 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (~spl1_42 | spl1_146 | spl1_245)),
% 4.25/1.00 inference(forward_demodulation,[],[f24043,f431])).
% 4.25/1.00 thf(f431,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | ~spl1_42),
% 4.25/1.00 inference(avatar_component_clause,[],[f429])).
% 4.25/1.00 thf(f24043,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (spl1_146 | spl1_245)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23825,f3426])).
% 4.25/1.00 thf(f3426,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | spl1_146),
% 4.25/1.00 inference(avatar_component_clause,[],[f3425])).
% 4.25/1.00 thf(f23825,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | spl1_245),
% 4.25/1.00 inference(subsumption_resolution,[],[f8298,f8340])).
% 4.25/1.00 thf(f8340,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | spl1_245),
% 4.25/1.00 inference(avatar_component_clause,[],[f8339])).
% 4.25/1.00 thf(f8298,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2))),
% 4.25/1.00 inference(superposition,[],[f6304,f33])).
% 4.25/1.00 thf(f24009,plain,(
% 4.25/1.00 spl1_259 | spl1_260 | spl1_131 | spl1_203 | spl1_258),
% 4.25/1.00 inference(avatar_split_clause,[],[f24008,f11272,f5104,f3255,f11280,f11276])).
% 4.25/1.00 thf(f11280,plain,(
% 4.25/1.00 spl1_260 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_260])])).
% 4.25/1.00 thf(f5104,plain,(
% 4.25/1.00 spl1_203 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_203])])).
% 4.25/1.00 thf(f11272,plain,(
% 4.25/1.00 spl1_258 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_258])])).
% 4.25/1.00 thf(f24008,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_203 | spl1_258)),
% 4.25/1.00 inference(subsumption_resolution,[],[f24007,f11273])).
% 4.25/1.00 thf(f11273,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_258),
% 4.25/1.00 inference(avatar_component_clause,[],[f11272])).
% 4.25/1.00 thf(f24007,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_203),
% 4.25/1.00 inference(subsumption_resolution,[],[f9970,f5105])).
% 4.25/1.00 thf(f5105,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_203),
% 4.25/1.00 inference(avatar_component_clause,[],[f5104])).
% 4.25/1.00 thf(f9970,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 inference(superposition,[],[f4781,f45])).
% 4.25/1.00 thf(f23978,plain,(
% 4.25/1.00 spl1_83 | spl1_249 | spl1_84 | spl1_86 | spl1_188),
% 4.25/1.00 inference(avatar_split_clause,[],[f23977,f4287,f1837,f1829,f9917,f1825])).
% 4.25/1.00 thf(f1825,plain,(
% 4.25/1.00 spl1_83 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_83])])).
% 4.25/1.00 thf(f9917,plain,(
% 4.25/1.00 spl1_249 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_249])])).
% 4.25/1.00 thf(f1829,plain,(
% 4.25/1.00 spl1_84 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_84])])).
% 4.25/1.00 thf(f1837,plain,(
% 4.25/1.00 spl1_86 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_86])])).
% 4.25/1.00 thf(f4287,plain,(
% 4.25/1.00 spl1_188 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_188])])).
% 4.25/1.00 thf(f23977,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (spl1_84 | spl1_86 | spl1_188)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23976,f1838])).
% 4.25/1.00 thf(f1838,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | spl1_86),
% 4.25/1.00 inference(avatar_component_clause,[],[f1837])).
% 4.25/1.00 thf(f23976,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (spl1_84 | spl1_188)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23975,f4288])).
% 4.25/1.00 thf(f4288,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | spl1_188),
% 4.25/1.00 inference(avatar_component_clause,[],[f4287])).
% 4.25/1.00 thf(f23975,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | spl1_84),
% 4.25/1.00 inference(subsumption_resolution,[],[f8184,f1830])).
% 4.25/1.00 thf(f1830,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | spl1_84),
% 4.25/1.00 inference(avatar_component_clause,[],[f1829])).
% 4.25/1.00 thf(f8184,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3))),
% 4.25/1.00 inference(superposition,[],[f6212,f34])).
% 4.25/1.00 thf(f23962,plain,(
% 4.25/1.00 spl1_2 | ~spl1_174 | ~spl1_223),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f23961])).
% 4.25/1.00 thf(f23961,plain,(
% 4.25/1.00 $false | (spl1_2 | ~spl1_174 | ~spl1_223)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23960,f141])).
% 4.25/1.00 thf(f141,plain,(
% 4.25/1.00 (c1 != c3) | spl1_2),
% 4.25/1.00 inference(avatar_component_clause,[],[f139])).
% 4.25/1.00 thf(f139,plain,(
% 4.25/1.00 spl1_2 <=> (c1 = c3)),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 4.25/1.00 thf(f23960,plain,(
% 4.25/1.00 (c1 = c3) | (~spl1_174 | ~spl1_223)),
% 4.25/1.00 inference(forward_demodulation,[],[f23959,f4188])).
% 4.25/1.00 thf(f4188,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_174),
% 4.25/1.00 inference(avatar_component_clause,[],[f4186])).
% 4.25/1.00 thf(f23959,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_223),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f23954])).
% 4.25/1.00 thf(f23954,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_223),
% 4.25/1.00 inference(superposition,[],[f70,f7971])).
% 4.25/1.00 thf(f7971,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | ~spl1_223),
% 4.25/1.00 inference(avatar_component_clause,[],[f7969])).
% 4.25/1.00 thf(f70,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),X0)) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),X0))) )),
% 4.25/1.00 inference(superposition,[],[f24,f35])).
% 4.25/1.00 thf(f23840,plain,(
% 4.25/1.00 spl1_33 | spl1_144 | spl1_145 | spl1_146 | spl1_245),
% 4.25/1.00 inference(avatar_split_clause,[],[f23839,f8339,f3425,f3421,f3417,f359])).
% 4.25/1.00 thf(f359,plain,(
% 4.25/1.00 spl1_33 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_33])])).
% 4.25/1.00 thf(f23839,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (spl1_145 | spl1_146 | spl1_245)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23838,f3426])).
% 4.25/1.00 thf(f23838,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (spl1_145 | spl1_245)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23837,f3422])).
% 4.25/1.00 thf(f3422,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | spl1_145),
% 4.25/1.00 inference(avatar_component_clause,[],[f3421])).
% 4.25/1.00 thf(f23837,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | spl1_245),
% 4.25/1.00 inference(subsumption_resolution,[],[f19890,f8340])).
% 4.25/1.00 thf(f19890,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2))),
% 4.25/1.00 inference(superposition,[],[f6304,f33])).
% 4.25/1.00 thf(f23798,plain,(
% 4.25/1.00 spl1_47 | ~spl1_220 | ~spl1_221),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f23797])).
% 4.25/1.00 thf(f23797,plain,(
% 4.25/1.00 $false | (spl1_47 | ~spl1_220 | ~spl1_221)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23796,f456])).
% 4.25/1.00 thf(f23796,plain,(
% 4.25/1.00 (c3 = c4) | (~spl1_220 | ~spl1_221)),
% 4.25/1.00 inference(backward_demodulation,[],[f6463,f6467])).
% 4.25/1.00 thf(f6467,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_221),
% 4.25/1.00 inference(avatar_component_clause,[],[f6465])).
% 4.25/1.00 thf(f6465,plain,(
% 4.25/1.00 spl1_221 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_221])])).
% 4.25/1.00 thf(f6463,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_220),
% 4.25/1.00 inference(avatar_component_clause,[],[f6461])).
% 4.25/1.00 thf(f6461,plain,(
% 4.25/1.00 spl1_220 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_220])])).
% 4.25/1.00 thf(f23794,plain,(
% 4.25/1.00 spl1_192 | spl1_191 | spl1_193 | spl1_194 | spl1_275),
% 4.25/1.00 inference(avatar_split_clause,[],[f23793,f18121,f4315,f4309,f4301,f4305])).
% 4.25/1.00 thf(f4305,plain,(
% 4.25/1.00 spl1_192 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_192])])).
% 4.25/1.00 thf(f4301,plain,(
% 4.25/1.00 spl1_191 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_191])])).
% 4.25/1.00 thf(f4309,plain,(
% 4.25/1.00 spl1_193 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_193])])).
% 4.25/1.00 thf(f4315,plain,(
% 4.25/1.00 spl1_194 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_194])])).
% 4.25/1.00 thf(f18121,plain,(
% 4.25/1.00 spl1_275 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_275])])).
% 4.25/1.00 thf(f23793,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (spl1_193 | spl1_194 | spl1_275)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23792,f4310])).
% 4.25/1.00 thf(f4310,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | spl1_193),
% 4.25/1.00 inference(avatar_component_clause,[],[f4309])).
% 4.25/1.00 thf(f23792,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (spl1_194 | spl1_275)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23494,f18122])).
% 4.25/1.00 thf(f18122,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | spl1_275),
% 4.25/1.00 inference(avatar_component_clause,[],[f18121])).
% 4.25/1.00 thf(f23494,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | spl1_194),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f23492])).
% 4.25/1.00 thf(f23492,plain,(
% 4.25/1.00 (c3 != c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | spl1_194),
% 4.25/1.00 inference(superposition,[],[f4316,f132])).
% 4.25/1.00 thf(f4316,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | spl1_194),
% 4.25/1.00 inference(avatar_component_clause,[],[f4315])).
% 4.25/1.00 thf(f23787,plain,(
% 4.25/1.00 spl1_11 | ~spl1_45 | ~spl1_142),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f23786])).
% 4.25/1.00 thf(f23786,plain,(
% 4.25/1.00 $false | (spl1_11 | ~spl1_45 | ~spl1_142)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23785,f184])).
% 4.25/1.00 thf(f23785,plain,(
% 4.25/1.00 (c1 = c4) | (~spl1_45 | ~spl1_142)),
% 4.25/1.00 inference(forward_demodulation,[],[f23784,f3409])).
% 4.25/1.00 thf(f3409,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_142),
% 4.25/1.00 inference(avatar_component_clause,[],[f3407])).
% 4.25/1.00 thf(f3407,plain,(
% 4.25/1.00 spl1_142 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_142])])).
% 4.25/1.00 thf(f23784,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_45),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f23778])).
% 4.25/1.00 thf(f23778,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_45),
% 4.25/1.00 inference(superposition,[],[f75,f448])).
% 4.25/1.00 thf(f448,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_45),
% 4.25/1.00 inference(avatar_component_clause,[],[f446])).
% 4.25/1.00 thf(f446,plain,(
% 4.25/1.00 spl1_45 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_45])])).
% 4.25/1.00 thf(f75,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0))) )),
% 4.25/1.00 inference(superposition,[],[f24,f45])).
% 4.25/1.00 thf(f23706,plain,(
% 4.25/1.00 spl1_47 | ~spl1_65 | ~spl1_152),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f23705])).
% 4.25/1.00 thf(f23705,plain,(
% 4.25/1.00 $false | (spl1_47 | ~spl1_65 | ~spl1_152)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23704,f456])).
% 4.25/1.00 thf(f23704,plain,(
% 4.25/1.00 (c3 = c4) | (~spl1_65 | ~spl1_152)),
% 4.25/1.00 inference(backward_demodulation,[],[f3712,f1333])).
% 4.25/1.00 thf(f1333,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | ~spl1_65),
% 4.25/1.00 inference(avatar_component_clause,[],[f1331])).
% 4.25/1.00 thf(f1331,plain,(
% 4.25/1.00 spl1_65 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_65])])).
% 4.25/1.00 thf(f3712,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | ~spl1_152),
% 4.25/1.00 inference(avatar_component_clause,[],[f3710])).
% 4.25/1.00 thf(f3710,plain,(
% 4.25/1.00 spl1_152 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_152])])).
% 4.25/1.00 thf(f23700,plain,(
% 4.25/1.00 spl1_255 | spl1_250 | spl1_47 | ~spl1_68 | spl1_149 | spl1_151),
% 4.25/1.00 inference(avatar_split_clause,[],[f23699,f3649,f3641,f1413,f454,f10856,f11140])).
% 4.25/1.00 thf(f1413,plain,(
% 4.25/1.00 spl1_68 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_68])])).
% 4.25/1.00 thf(f23699,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_47 | ~spl1_68 | spl1_149 | spl1_151)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23393,f3642])).
% 4.25/1.00 thf(f23393,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_47 | ~spl1_68 | spl1_151)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23392,f456])).
% 4.25/1.00 thf(f23392,plain,(
% 4.25/1.00 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (~spl1_68 | spl1_151)),
% 4.25/1.00 inference(forward_demodulation,[],[f23391,f1415])).
% 4.25/1.00 thf(f1415,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | ~spl1_68),
% 4.25/1.00 inference(avatar_component_clause,[],[f1413])).
% 4.25/1.00 thf(f23391,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_151),
% 4.25/1.00 inference(subsumption_resolution,[],[f16341,f3650])).
% 4.25/1.00 thf(f16341,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 inference(superposition,[],[f6212,f45])).
% 4.25/1.00 thf(f23680,plain,(
% 4.25/1.00 spl1_44 | spl1_45 | spl1_43 | ~spl1_106),
% 4.25/1.00 inference(avatar_split_clause,[],[f23679,f2242,f438,f446,f442])).
% 4.25/1.00 thf(f442,plain,(
% 4.25/1.00 spl1_44 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_44])])).
% 4.25/1.00 thf(f438,plain,(
% 4.25/1.00 spl1_43 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_43])])).
% 4.25/1.00 thf(f2242,plain,(
% 4.25/1.00 spl1_106 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_106])])).
% 4.25/1.00 thf(f23679,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_43 | ~spl1_106)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23678,f220])).
% 4.25/1.00 thf(f220,plain,(
% 4.25/1.00 (c5 != c4)),
% 4.25/1.00 inference(superposition,[],[f29,f218])).
% 4.25/1.00 thf(f218,plain,(
% 4.25/1.00 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c1))),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f217])).
% 4.25/1.00 thf(f217,plain,(
% 4.25/1.00 ($true != $true) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c1))),
% 4.25/1.00 inference(superposition,[],[f22,f38])).
% 4.25/1.00 thf(f38,plain,(
% 4.25/1.00 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c1),c1))),
% 4.25/1.00 inference(equality_resolution,[],[f37])).
% 4.25/1.00 thf(f37,plain,(
% 4.25/1.00 ( ! [X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X1),c1)) | (c1 != X1)) )),
% 4.25/1.00 inference(equality_resolution,[],[f18])).
% 4.25/1.00 thf(f18,plain,(
% 4.25/1.00 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X1),X0)) | (c1 != X0) | (c1 != X1)) )),
% 4.25/1.00 inference(cnf_transformation,[],[f11])).
% 4.25/1.00 thf(f11,plain,(
% 4.25/1.00 ! [X0,X1] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X1),X0)) | (((c1 != X0) | (c1 != X1)) & ((c8 != X0) | (c8 != X1)))) & (((c1 = X0) & (c1 = X1)) | ((c8 = X0) & (c8 = X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X1),X0))))),
% 4.25/1.00 inference(rectify,[],[f10])).
% 4.25/1.00 thf(f10,plain,(
% 4.25/1.00 ! [X9,X8] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X8),X9)) | (((c1 != X9) | (c1 != X8)) & ((c8 != X9) | (c8 != X8)))) & (((c1 = X9) & (c1 = X8)) | ((c8 = X9) & (c8 = X8)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X8),X9))))),
% 4.25/1.00 inference(flattening,[],[f9])).
% 4.25/1.00 thf(f9,plain,(
% 4.25/1.00 ! [X9,X8] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X8),X9)) | (((c1 != X9) | (c1 != X8)) & ((c8 != X9) | (c8 != X8)))) & ((((c1 = X9) & (c1 = X8)) | ((c8 = X9) & (c8 = X8))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X8),X9))))),
% 4.25/1.00 inference(nnf_transformation,[],[f7])).
% 4.25/1.00 thf(f22,plain,(
% 4.25/1.00 ( ! [X8 : $i,X9 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X8),X9)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X8),X9))) )),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f23678,plain,(
% 4.25/1.00 (c5 = c4) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_43 | ~spl1_106)),
% 4.25/1.00 inference(forward_demodulation,[],[f23677,f2244])).
% 4.25/1.00 thf(f2244,plain,(
% 4.25/1.00 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c8)) | ~spl1_106),
% 4.25/1.00 inference(avatar_component_clause,[],[f2242])).
% 4.25/1.00 thf(f23677,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_43),
% 4.25/1.00 inference(subsumption_resolution,[],[f19735,f439])).
% 4.25/1.00 thf(f439,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_43),
% 4.25/1.00 inference(avatar_component_clause,[],[f438])).
% 4.25/1.00 thf(f19735,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 inference(superposition,[],[f295,f45])).
% 4.25/1.00 thf(f23658,plain,(
% 4.25/1.00 spl1_27 | spl1_215 | spl1_47 | spl1_214 | spl1_216 | spl1_217 | spl1_242 | spl1_243 | spl1_244),
% 4.25/1.00 inference(avatar_split_clause,[],[f23657,f8331,f8327,f8323,f6425,f6421,f6413,f454,f6417,f331])).
% 4.25/1.00 thf(f6417,plain,(
% 4.25/1.00 spl1_215 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_215])])).
% 4.25/1.00 thf(f6413,plain,(
% 4.25/1.00 spl1_214 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_214])])).
% 4.25/1.00 thf(f6421,plain,(
% 4.25/1.00 spl1_216 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_216])])).
% 4.25/1.00 thf(f6425,plain,(
% 4.25/1.00 spl1_217 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_217])])).
% 4.25/1.00 thf(f23657,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (spl1_47 | spl1_214 | spl1_216 | spl1_217 | spl1_242 | spl1_243 | spl1_244)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23656,f6414])).
% 4.25/1.00 thf(f6414,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | spl1_214),
% 4.25/1.00 inference(avatar_component_clause,[],[f6413])).
% 4.25/1.00 thf(f23656,plain,(
% 4.25/1.00 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (spl1_47 | spl1_216 | spl1_217 | spl1_242 | spl1_243 | spl1_244)),
% 4.25/1.00 inference(forward_demodulation,[],[f23655,f35])).
% 4.25/1.00 thf(f23655,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (spl1_47 | spl1_216 | spl1_217 | spl1_242 | spl1_243 | spl1_244)),
% 4.25/1.00 inference(forward_demodulation,[],[f23654,f35])).
% 4.25/1.00 thf(f23654,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (spl1_47 | spl1_216 | spl1_217 | spl1_242 | spl1_243 | spl1_244)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23653,f6422])).
% 4.25/1.00 thf(f6422,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | spl1_216),
% 4.25/1.00 inference(avatar_component_clause,[],[f6421])).
% 4.25/1.00 thf(f23653,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (spl1_47 | spl1_217 | spl1_242 | spl1_243 | spl1_244)),
% 4.25/1.00 inference(forward_demodulation,[],[f23652,f35])).
% 4.25/1.00 thf(f23652,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (spl1_47 | spl1_217 | spl1_242 | spl1_243 | spl1_244)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23651,f6426])).
% 4.25/1.00 thf(f6426,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | spl1_217),
% 4.25/1.00 inference(avatar_component_clause,[],[f6425])).
% 4.25/1.00 thf(f23651,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (spl1_47 | spl1_242 | spl1_243 | spl1_244)),
% 4.25/1.00 inference(forward_demodulation,[],[f23650,f35])).
% 4.25/1.00 thf(f23650,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (spl1_47 | spl1_242 | spl1_243 | spl1_244)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23512,f8324])).
% 4.25/1.00 thf(f23512,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (spl1_47 | spl1_243 | spl1_244)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23511,f8332])).
% 4.25/1.00 thf(f23511,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (spl1_47 | spl1_243)),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f23506])).
% 4.25/1.00 thf(f23506,plain,(
% 4.25/1.00 (c3 != c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c4))) | (spl1_47 | spl1_243)),
% 4.25/1.00 inference(superposition,[],[f8328,f8344])).
% 4.25/1.00 thf(f8344,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,X0))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,X0))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,X0))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,X0)))) ) | spl1_47),
% 4.25/1.00 inference(subsumption_resolution,[],[f8304,f456])).
% 4.25/1.00 thf(f8304,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),X0)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),X0)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,X0))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,X0))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,X0))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,X0)))) )),
% 4.25/1.00 inference(superposition,[],[f6304,f132])).
% 4.25/1.00 thf(f8328,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | spl1_243),
% 4.25/1.00 inference(avatar_component_clause,[],[f8327])).
% 4.25/1.00 thf(f23649,plain,(
% 4.25/1.00 spl1_8 | ~spl1_227 | ~spl1_266),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f23648])).
% 4.25/1.00 thf(f23648,plain,(
% 4.25/1.00 $false | (spl1_8 | ~spl1_227 | ~spl1_266)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23647,f170])).
% 4.25/1.00 thf(f23647,plain,(
% 4.25/1.00 (c1 = c2) | (~spl1_227 | ~spl1_266)),
% 4.25/1.00 inference(backward_demodulation,[],[f23294,f13186])).
% 4.25/1.00 thf(f13186,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_266),
% 4.25/1.00 inference(avatar_component_clause,[],[f13184])).
% 4.25/1.00 thf(f13184,plain,(
% 4.25/1.00 spl1_266 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_266])])).
% 4.25/1.00 thf(f23294,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_227),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f23289])).
% 4.25/1.00 thf(f23289,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_227),
% 4.25/1.00 inference(superposition,[],[f70,f7999])).
% 4.25/1.00 thf(f7999,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | ~spl1_227),
% 4.25/1.00 inference(avatar_component_clause,[],[f7997])).
% 4.25/1.00 thf(f7997,plain,(
% 4.25/1.00 spl1_227 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_227])])).
% 4.25/1.00 thf(f23646,plain,(
% 4.25/1.00 spl1_266 | ~spl1_260),
% 4.25/1.00 inference(avatar_split_clause,[],[f23643,f11280,f13184])).
% 4.25/1.00 thf(f23643,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_260),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f23636])).
% 4.25/1.00 thf(f23636,plain,(
% 4.25/1.00 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_260),
% 4.25/1.00 inference(superposition,[],[f26,f11282])).
% 4.25/1.00 thf(f11282,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_260),
% 4.25/1.00 inference(avatar_component_clause,[],[f11280])).
% 4.25/1.00 thf(f23598,plain,(
% 4.25/1.00 spl1_11 | ~spl1_256 | ~spl1_259),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f23597])).
% 4.25/1.00 thf(f23597,plain,(
% 4.25/1.00 $false | (spl1_11 | ~spl1_256 | ~spl1_259)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23596,f184])).
% 4.25/1.00 thf(f23596,plain,(
% 4.25/1.00 (c1 = c4) | (~spl1_256 | ~spl1_259)),
% 4.25/1.00 inference(forward_demodulation,[],[f23595,f11146])).
% 4.25/1.00 thf(f11146,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_256),
% 4.25/1.00 inference(avatar_component_clause,[],[f11144])).
% 4.25/1.00 thf(f23595,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_259),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f23590])).
% 4.25/1.00 thf(f23590,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_259),
% 4.25/1.00 inference(superposition,[],[f71,f11278])).
% 4.25/1.00 thf(f23390,plain,(
% 4.25/1.00 spl1_21 | ~spl1_149 | ~spl1_252),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f23389])).
% 4.25/1.00 thf(f23389,plain,(
% 4.25/1.00 $false | (spl1_21 | ~spl1_149 | ~spl1_252)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23388,f305])).
% 4.25/1.00 thf(f23388,plain,(
% 4.25/1.00 (c3 = c2) | (~spl1_149 | ~spl1_252)),
% 4.25/1.00 inference(forward_demodulation,[],[f23387,f10953])).
% 4.25/1.00 thf(f10953,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_252),
% 4.25/1.00 inference(avatar_component_clause,[],[f10951])).
% 4.25/1.00 thf(f23387,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_149),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f23380])).
% 4.25/1.00 thf(f23380,plain,(
% 4.25/1.00 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_149),
% 4.25/1.00 inference(superposition,[],[f26,f3643])).
% 4.25/1.00 thf(f3643,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_149),
% 4.25/1.00 inference(avatar_component_clause,[],[f3641])).
% 4.25/1.00 thf(f23070,plain,(
% 4.25/1.00 spl1_21 | ~spl1_44 | ~spl1_152),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f23069])).
% 4.25/1.00 thf(f23069,plain,(
% 4.25/1.00 $false | (spl1_21 | ~spl1_44 | ~spl1_152)),
% 4.25/1.00 inference(subsumption_resolution,[],[f23068,f305])).
% 4.25/1.00 thf(f23068,plain,(
% 4.25/1.00 (c3 = c2) | (~spl1_44 | ~spl1_152)),
% 4.25/1.00 inference(backward_demodulation,[],[f18799,f3712])).
% 4.25/1.00 thf(f18799,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | ~spl1_44),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f18791])).
% 4.25/1.00 thf(f18791,plain,(
% 4.25/1.00 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | ~spl1_44),
% 4.25/1.00 inference(superposition,[],[f26,f444])).
% 4.25/1.00 thf(f444,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_44),
% 4.25/1.00 inference(avatar_component_clause,[],[f442])).
% 4.25/1.00 thf(f22938,plain,(
% 4.25/1.00 spl1_227 | spl1_228 | spl1_226 | spl1_229 | spl1_266),
% 4.25/1.00 inference(avatar_split_clause,[],[f22937,f13184,f8005,f7993,f8001,f7997])).
% 4.25/1.00 thf(f7993,plain,(
% 4.25/1.00 spl1_226 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_226])])).
% 4.25/1.00 thf(f8005,plain,(
% 4.25/1.00 spl1_229 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5)))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_229])])).
% 4.25/1.00 thf(f22937,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (spl1_226 | spl1_229 | spl1_266)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22936,f7994])).
% 4.25/1.00 thf(f7994,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | spl1_226),
% 4.25/1.00 inference(avatar_component_clause,[],[f7993])).
% 4.25/1.00 thf(f22936,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (spl1_229 | spl1_266)),
% 4.25/1.00 inference(subsumption_resolution,[],[f14890,f8006])).
% 4.25/1.00 thf(f8006,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | spl1_229),
% 4.25/1.00 inference(avatar_component_clause,[],[f8005])).
% 4.25/1.00 thf(f14890,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | spl1_266),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f14888])).
% 4.25/1.00 thf(f14888,plain,(
% 4.25/1.00 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | spl1_266),
% 4.25/1.00 inference(superposition,[],[f13185,f469])).
% 4.25/1.00 thf(f13185,plain,(
% 4.25/1.00 (c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | spl1_266),
% 4.25/1.00 inference(avatar_component_clause,[],[f13184])).
% 4.25/1.00 thf(f22935,plain,(
% 4.25/1.00 spl1_227 | spl1_228 | spl1_226 | spl1_229 | spl1_260),
% 4.25/1.00 inference(avatar_split_clause,[],[f22934,f11280,f8005,f7993,f8001,f7997])).
% 4.25/1.00 thf(f22934,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (spl1_226 | spl1_229 | spl1_260)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22933,f7994])).
% 4.25/1.00 thf(f22933,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (spl1_229 | spl1_260)),
% 4.25/1.00 inference(subsumption_resolution,[],[f15750,f8006])).
% 4.25/1.00 thf(f15750,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | spl1_260),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f15747])).
% 4.25/1.00 thf(f15747,plain,(
% 4.25/1.00 (c4 != c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | spl1_260),
% 4.25/1.00 inference(superposition,[],[f11281,f4781])).
% 4.25/1.00 thf(f11281,plain,(
% 4.25/1.00 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_260),
% 4.25/1.00 inference(avatar_component_clause,[],[f11280])).
% 4.25/1.00 thf(f22910,plain,(
% 4.25/1.00 spl1_21 | ~spl1_219 | ~spl1_220),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f22909])).
% 4.25/1.00 thf(f22909,plain,(
% 4.25/1.00 $false | (spl1_21 | ~spl1_219 | ~spl1_220)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22908,f305])).
% 4.25/1.00 thf(f22908,plain,(
% 4.25/1.00 (c3 = c2) | (~spl1_219 | ~spl1_220)),
% 4.25/1.00 inference(forward_demodulation,[],[f6459,f6463])).
% 4.25/1.00 thf(f6459,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_219),
% 4.25/1.00 inference(avatar_component_clause,[],[f6457])).
% 4.25/1.00 thf(f6457,plain,(
% 4.25/1.00 spl1_219 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_219])])).
% 4.25/1.00 thf(f22886,plain,(
% 4.25/1.00 spl1_161 | spl1_160 | spl1_47 | ~spl1_55 | spl1_162 | spl1_223),
% 4.25/1.00 inference(avatar_split_clause,[],[f22885,f7969,f4078,f939,f454,f4070,f4074])).
% 4.25/1.00 thf(f939,plain,(
% 4.25/1.00 spl1_55 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_55])])).
% 4.25/1.00 thf(f22885,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (spl1_47 | ~spl1_55 | spl1_162 | spl1_223)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22884,f4079])).
% 4.25/1.00 thf(f22884,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (spl1_47 | ~spl1_55 | spl1_223)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22883,f7970])).
% 4.25/1.00 thf(f7970,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | spl1_223),
% 4.25/1.00 inference(avatar_component_clause,[],[f7969])).
% 4.25/1.00 thf(f22883,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (spl1_47 | ~spl1_55)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22793,f456])).
% 4.25/1.00 thf(f22793,plain,(
% 4.25/1.00 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | ~spl1_55),
% 4.25/1.00 inference(superposition,[],[f941,f132])).
% 4.25/1.00 thf(f941,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_55),
% 4.25/1.00 inference(avatar_component_clause,[],[f939])).
% 4.25/1.00 thf(f22876,plain,(
% 4.25/1.00 spl1_220 | spl1_114 | spl1_115 | spl1_47 | spl1_164 | ~spl1_228),
% 4.25/1.00 inference(avatar_split_clause,[],[f22875,f8001,f4086,f454,f2680,f2595,f6461])).
% 4.25/1.00 thf(f2680,plain,(
% 4.25/1.00 spl1_115 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_115])])).
% 4.25/1.00 thf(f4086,plain,(
% 4.25/1.00 spl1_164 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_164])])).
% 4.25/1.00 thf(f22875,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (spl1_47 | spl1_164 | ~spl1_228)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22874,f4087])).
% 4.25/1.00 thf(f4087,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | spl1_164),
% 4.25/1.00 inference(avatar_component_clause,[],[f4086])).
% 4.25/1.00 thf(f22874,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_47 | ~spl1_228)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22577,f456])).
% 4.25/1.00 thf(f22577,plain,(
% 4.25/1.00 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | ~spl1_228),
% 4.25/1.00 inference(superposition,[],[f8003,f4781])).
% 4.25/1.00 thf(f8003,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_228),
% 4.25/1.00 inference(avatar_component_clause,[],[f8001])).
% 4.25/1.00 thf(f22873,plain,(
% 4.25/1.00 spl1_220 | spl1_114 | spl1_115 | spl1_47 | spl1_164 | ~spl1_228),
% 4.25/1.00 inference(avatar_split_clause,[],[f22872,f8001,f4086,f454,f2680,f2595,f6461])).
% 4.25/1.00 thf(f22872,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (spl1_47 | spl1_164 | ~spl1_228)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22871,f4087])).
% 4.25/1.00 thf(f22871,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_47 | ~spl1_228)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22581,f456])).
% 4.25/1.00 thf(f22581,plain,(
% 4.25/1.00 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | ~spl1_228),
% 4.25/1.00 inference(superposition,[],[f4781,f8003])).
% 4.25/1.00 thf(f22870,plain,(
% 4.25/1.00 spl1_220 | spl1_114 | spl1_115 | spl1_164 | spl1_229),
% 4.25/1.00 inference(avatar_split_clause,[],[f22869,f8005,f4086,f2680,f2595,f6461])).
% 4.25/1.00 thf(f22869,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (spl1_164 | spl1_229)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22594,f4087])).
% 4.25/1.00 thf(f22594,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | spl1_229),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f22591])).
% 4.25/1.00 thf(f22591,plain,(
% 4.25/1.00 (c4 != c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | spl1_229),
% 4.25/1.00 inference(superposition,[],[f8006,f4781])).
% 4.25/1.00 thf(f22831,plain,(
% 4.25/1.00 spl1_2 | ~spl1_227 | ~spl1_228),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f22830])).
% 4.25/1.00 thf(f22830,plain,(
% 4.25/1.00 $false | (spl1_2 | ~spl1_227 | ~spl1_228)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22829,f141])).
% 4.25/1.00 thf(f22829,plain,(
% 4.25/1.00 (c1 = c3) | (~spl1_227 | ~spl1_228)),
% 4.25/1.00 inference(forward_demodulation,[],[f22828,f8003])).
% 4.25/1.00 thf(f22828,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_227),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f22823])).
% 4.25/1.00 thf(f22823,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_227),
% 4.25/1.00 inference(superposition,[],[f70,f7999])).
% 4.25/1.00 thf(f22745,plain,(
% 4.25/1.00 spl1_47 | ~spl1_54 | ~spl1_55),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f22744])).
% 4.25/1.00 thf(f22744,plain,(
% 4.25/1.00 $false | (spl1_47 | ~spl1_54 | ~spl1_55)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22743,f456])).
% 4.25/1.00 thf(f22743,plain,(
% 4.25/1.00 (c3 = c4) | (~spl1_54 | ~spl1_55)),
% 4.25/1.00 inference(backward_demodulation,[],[f937,f941])).
% 4.25/1.00 thf(f937,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_54),
% 4.25/1.00 inference(avatar_component_clause,[],[f935])).
% 4.25/1.00 thf(f22736,plain,(
% 4.25/1.00 spl1_25 | ~spl1_202 | ~spl1_204),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f22735])).
% 4.25/1.00 thf(f22735,plain,(
% 4.25/1.00 $false | (spl1_25 | ~spl1_202 | ~spl1_204)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22734,f323])).
% 4.25/1.00 thf(f22734,plain,(
% 4.25/1.00 (c2 = c4) | (~spl1_202 | ~spl1_204)),
% 4.25/1.00 inference(forward_demodulation,[],[f5102,f5110])).
% 4.25/1.00 thf(f5110,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_204),
% 4.25/1.00 inference(avatar_component_clause,[],[f5108])).
% 4.25/1.00 thf(f5108,plain,(
% 4.25/1.00 spl1_204 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_204])])).
% 4.25/1.00 thf(f5102,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_202),
% 4.25/1.00 inference(avatar_component_clause,[],[f5100])).
% 4.25/1.00 thf(f5100,plain,(
% 4.25/1.00 spl1_202 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_202])])).
% 4.25/1.00 thf(f22712,plain,(
% 4.25/1.00 spl1_203 | spl1_258 | spl1_259 | spl1_260 | spl1_261),
% 4.25/1.00 inference(avatar_split_clause,[],[f22711,f11552,f11280,f11276,f11272,f5104])).
% 4.25/1.00 thf(f11552,plain,(
% 4.25/1.00 spl1_261 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_261])])).
% 4.25/1.00 thf(f22711,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_258 | spl1_259 | spl1_260 | spl1_261)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22710,f11273])).
% 4.25/1.00 thf(f22710,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_259 | spl1_260 | spl1_261)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22709,f11277])).
% 4.25/1.00 thf(f11277,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_259),
% 4.25/1.00 inference(avatar_component_clause,[],[f11276])).
% 4.25/1.00 thf(f22709,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_260 | spl1_261)),
% 4.25/1.00 inference(subsumption_resolution,[],[f15754,f11281])).
% 4.25/1.00 thf(f15754,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_261),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f15752])).
% 4.25/1.00 thf(f15752,plain,(
% 4.25/1.00 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_261),
% 4.25/1.00 inference(superposition,[],[f11553,f469])).
% 4.25/1.00 thf(f11553,plain,(
% 4.25/1.00 (c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_261),
% 4.25/1.00 inference(avatar_component_clause,[],[f11552])).
% 4.25/1.00 thf(f22682,plain,(
% 4.25/1.00 spl1_199 | spl1_128 | spl1_129 | spl1_264),
% 4.25/1.00 inference(avatar_split_clause,[],[f22681,f11639,f3246,f3242,f4695])).
% 4.25/1.00 thf(f4695,plain,(
% 4.25/1.00 spl1_199 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_199])])).
% 4.25/1.00 thf(f3242,plain,(
% 4.25/1.00 spl1_128 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_128])])).
% 4.25/1.00 thf(f3246,plain,(
% 4.25/1.00 spl1_129 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_129])])).
% 4.25/1.00 thf(f11639,plain,(
% 4.25/1.00 spl1_264 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_264])])).
% 4.25/1.00 thf(f22681,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (spl1_129 | spl1_264)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22680,f3247])).
% 4.25/1.00 thf(f3247,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | spl1_129),
% 4.25/1.00 inference(avatar_component_clause,[],[f3246])).
% 4.25/1.00 thf(f22680,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | spl1_264),
% 4.25/1.00 inference(subsumption_resolution,[],[f22604,f30])).
% 4.25/1.00 thf(f30,plain,(
% 4.25/1.00 ( ! [X2 : $i] : ((c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X2),c8))) )),
% 4.25/1.00 inference(cnf_transformation,[],[f12])).
% 4.25/1.00 thf(f22604,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | spl1_264),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f22602])).
% 4.25/1.00 thf(f22602,plain,(
% 4.25/1.00 (c3 != c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | spl1_264),
% 4.25/1.00 inference(superposition,[],[f11640,f132])).
% 4.25/1.00 thf(f11640,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c8)) | spl1_264),
% 4.25/1.00 inference(avatar_component_clause,[],[f11639])).
% 4.25/1.00 thf(f22679,plain,(
% 4.25/1.00 spl1_199 | spl1_128 | spl1_2 | spl1_129 | ~spl1_212),
% 4.25/1.00 inference(avatar_split_clause,[],[f22678,f6314,f3246,f139,f3242,f4695])).
% 4.25/1.00 thf(f6314,plain,(
% 4.25/1.00 spl1_212 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_212])])).
% 4.25/1.00 thf(f22678,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (spl1_2 | spl1_129 | ~spl1_212)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22677,f3247])).
% 4.25/1.00 thf(f22677,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (spl1_2 | ~spl1_212)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22676,f30])).
% 4.25/1.00 thf(f22676,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (spl1_2 | ~spl1_212)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22605,f141])).
% 4.25/1.00 thf(f22605,plain,(
% 4.25/1.00 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | ~spl1_212),
% 4.25/1.00 inference(superposition,[],[f22320,f132])).
% 4.25/1.00 thf(f22320,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c8)) | ~spl1_212),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f22315])).
% 4.25/1.00 thf(f22315,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c8)) | ~spl1_212),
% 4.25/1.00 inference(superposition,[],[f24,f6316])).
% 4.25/1.00 thf(f6316,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | ~spl1_212),
% 4.25/1.00 inference(avatar_component_clause,[],[f6314])).
% 4.25/1.00 thf(f22626,plain,(
% 4.25/1.00 spl1_2 | ~spl1_191 | ~spl1_210),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f22625])).
% 4.25/1.00 thf(f22625,plain,(
% 4.25/1.00 $false | (spl1_2 | ~spl1_191 | ~spl1_210)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22624,f141])).
% 4.25/1.00 thf(f22624,plain,(
% 4.25/1.00 (c1 = c3) | (~spl1_191 | ~spl1_210)),
% 4.25/1.00 inference(forward_demodulation,[],[f22623,f5912])).
% 4.25/1.00 thf(f22623,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_191),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f22618])).
% 4.25/1.00 thf(f22618,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_191),
% 4.25/1.00 inference(superposition,[],[f24,f4303])).
% 4.25/1.00 thf(f4303,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | ~spl1_191),
% 4.25/1.00 inference(avatar_component_clause,[],[f4301])).
% 4.25/1.00 thf(f22450,plain,(
% 4.25/1.00 spl1_192 | spl1_191 | spl1_2 | ~spl1_30 | spl1_193 | spl1_275),
% 4.25/1.00 inference(avatar_split_clause,[],[f22449,f18121,f4309,f345,f139,f4301,f4305])).
% 4.25/1.00 thf(f22449,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (spl1_2 | ~spl1_30 | spl1_193 | spl1_275)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22448,f4310])).
% 4.25/1.00 thf(f22448,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (spl1_2 | ~spl1_30 | spl1_275)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22447,f18122])).
% 4.25/1.00 thf(f22447,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (spl1_2 | ~spl1_30)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22378,f141])).
% 4.25/1.00 thf(f22378,plain,(
% 4.25/1.00 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | ~spl1_30),
% 4.25/1.00 inference(superposition,[],[f21390,f132])).
% 4.25/1.00 thf(f21390,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_30),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f21384])).
% 4.25/1.00 thf(f21384,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_30),
% 4.25/1.00 inference(superposition,[],[f75,f347])).
% 4.25/1.00 thf(f347,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | ~spl1_30),
% 4.25/1.00 inference(avatar_component_clause,[],[f345])).
% 4.25/1.00 thf(f22442,plain,(
% 4.25/1.00 spl1_8 | ~spl1_166 | ~spl1_223),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f22441])).
% 4.25/1.00 thf(f22441,plain,(
% 4.25/1.00 $false | (spl1_8 | ~spl1_166 | ~spl1_223)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22440,f170])).
% 4.25/1.00 thf(f22440,plain,(
% 4.25/1.00 (c1 = c2) | (~spl1_166 | ~spl1_223)),
% 4.25/1.00 inference(forward_demodulation,[],[f22439,f4098])).
% 4.25/1.00 thf(f4098,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_166),
% 4.25/1.00 inference(avatar_component_clause,[],[f4096])).
% 4.25/1.00 thf(f4096,plain,(
% 4.25/1.00 spl1_166 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_166])])).
% 4.25/1.00 thf(f22439,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_223),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f22434])).
% 4.25/1.00 thf(f22434,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_223),
% 4.25/1.00 inference(superposition,[],[f70,f7971])).
% 4.25/1.00 thf(f22411,plain,(
% 4.25/1.00 spl1_8 | ~spl1_186 | ~spl1_209),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f22410])).
% 4.25/1.00 thf(f22410,plain,(
% 4.25/1.00 $false | (spl1_8 | ~spl1_186 | ~spl1_209)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22409,f170])).
% 4.25/1.00 thf(f22409,plain,(
% 4.25/1.00 (c1 = c2) | (~spl1_186 | ~spl1_209)),
% 4.25/1.00 inference(forward_demodulation,[],[f22408,f4281])).
% 4.25/1.00 thf(f4281,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_186),
% 4.25/1.00 inference(avatar_component_clause,[],[f4279])).
% 4.25/1.00 thf(f4279,plain,(
% 4.25/1.00 spl1_186 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_186])])).
% 4.25/1.00 thf(f22408,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_209),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f22403])).
% 4.25/1.00 thf(f22403,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_209),
% 4.25/1.00 inference(superposition,[],[f70,f5145])).
% 4.25/1.00 thf(f5145,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | ~spl1_209),
% 4.25/1.00 inference(avatar_component_clause,[],[f5143])).
% 4.25/1.00 thf(f5143,plain,(
% 4.25/1.00 spl1_209 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_209])])).
% 4.25/1.00 thf(f22263,plain,(
% 4.25/1.00 spl1_2 | ~spl1_113 | ~spl1_188),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f22262])).
% 4.25/1.00 thf(f22262,plain,(
% 4.25/1.00 $false | (spl1_2 | ~spl1_113 | ~spl1_188)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22261,f141])).
% 4.25/1.00 thf(f22261,plain,(
% 4.25/1.00 (c1 = c3) | (~spl1_113 | ~spl1_188)),
% 4.25/1.00 inference(forward_demodulation,[],[f22260,f4289])).
% 4.25/1.00 thf(f4289,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | ~spl1_188),
% 4.25/1.00 inference(avatar_component_clause,[],[f4287])).
% 4.25/1.00 thf(f22260,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | ~spl1_113),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f22255])).
% 4.25/1.00 thf(f22255,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | ~spl1_113),
% 4.25/1.00 inference(superposition,[],[f71,f2589])).
% 4.25/1.00 thf(f2589,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | ~spl1_113),
% 4.25/1.00 inference(avatar_component_clause,[],[f2587])).
% 4.25/1.00 thf(f22190,plain,(
% 4.25/1.00 spl1_267 | spl1_232 | spl1_47 | ~spl1_185 | spl1_268 | spl1_269),
% 4.25/1.00 inference(avatar_split_clause,[],[f22189,f13344,f13338,f4275,f454,f8080,f13332])).
% 4.25/1.00 thf(f22189,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (spl1_47 | ~spl1_185 | spl1_268 | spl1_269)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22188,f456])).
% 4.25/1.00 thf(f22188,plain,(
% 4.25/1.00 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (~spl1_185 | spl1_268 | spl1_269)),
% 4.25/1.00 inference(forward_demodulation,[],[f15100,f4277])).
% 4.25/1.00 thf(f22178,plain,(
% 4.25/1.00 spl1_21 | ~spl1_172 | ~spl1_210),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f22177])).
% 4.25/1.00 thf(f22177,plain,(
% 4.25/1.00 $false | (spl1_21 | ~spl1_172 | ~spl1_210)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22176,f305])).
% 4.25/1.00 thf(f22176,plain,(
% 4.25/1.00 (c3 = c2) | (~spl1_172 | ~spl1_210)),
% 4.25/1.00 inference(backward_demodulation,[],[f4180,f5912])).
% 4.25/1.00 thf(f4180,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_172),
% 4.25/1.00 inference(avatar_component_clause,[],[f4178])).
% 4.25/1.00 thf(f4178,plain,(
% 4.25/1.00 spl1_172 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_172])])).
% 4.25/1.00 thf(f22175,plain,(
% 4.25/1.00 spl1_165 | spl1_21 | spl1_113 | ~spl1_172 | spl1_175 | spl1_177),
% 4.25/1.00 inference(avatar_split_clause,[],[f22174,f4200,f4192,f4178,f2587,f303,f4092])).
% 4.25/1.00 thf(f22174,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (spl1_21 | spl1_113 | ~spl1_172 | spl1_175 | spl1_177)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22173,f305])).
% 4.25/1.00 thf(f22173,plain,(
% 4.25/1.00 (c3 = c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (spl1_113 | ~spl1_172 | spl1_175 | spl1_177)),
% 4.25/1.00 inference(forward_demodulation,[],[f22172,f4180])).
% 4.25/1.00 thf(f22172,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (spl1_113 | spl1_175 | spl1_177)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22171,f4201])).
% 4.25/1.00 thf(f22171,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (spl1_113 | spl1_175)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22170,f2588])).
% 4.25/1.00 thf(f22170,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | spl1_175),
% 4.25/1.00 inference(subsumption_resolution,[],[f7949,f4193])).
% 4.25/1.00 thf(f22169,plain,(
% 4.25/1.00 spl1_2 | ~spl1_114 | ~spl1_118),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f22168])).
% 4.25/1.00 thf(f22168,plain,(
% 4.25/1.00 $false | (spl1_2 | ~spl1_114 | ~spl1_118)),
% 4.25/1.00 inference(subsumption_resolution,[],[f22167,f141])).
% 4.25/1.00 thf(f22167,plain,(
% 4.25/1.00 (c1 = c3) | (~spl1_114 | ~spl1_118)),
% 4.25/1.00 inference(forward_demodulation,[],[f22166,f2732])).
% 4.25/1.00 thf(f2732,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_118),
% 4.25/1.00 inference(avatar_component_clause,[],[f2730])).
% 4.25/1.00 thf(f2730,plain,(
% 4.25/1.00 spl1_118 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_118])])).
% 4.25/1.00 thf(f22166,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_114),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f22161])).
% 4.25/1.00 thf(f22161,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_114),
% 4.25/1.00 inference(superposition,[],[f71,f2597])).
% 4.25/1.00 thf(f21986,plain,(
% 4.25/1.00 spl1_228 | spl1_236 | spl1_237 | spl1_47 | spl1_235 | ~spl1_255),
% 4.25/1.00 inference(avatar_split_clause,[],[f21985,f11140,f8102,f454,f8110,f8106,f8001])).
% 4.25/1.00 thf(f21985,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (spl1_47 | spl1_235 | ~spl1_255)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21984,f8103])).
% 4.25/1.00 thf(f21984,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_47 | ~spl1_255)),
% 4.25/1.00 inference(subsumption_resolution,[],[f15730,f456])).
% 4.25/1.00 thf(f15730,plain,(
% 4.25/1.00 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | ~spl1_255),
% 4.25/1.00 inference(superposition,[],[f11142,f4838])).
% 4.25/1.00 thf(f21947,plain,(
% 4.25/1.00 spl1_212 | spl1_213 | ~spl1_106 | spl1_211),
% 4.25/1.00 inference(avatar_split_clause,[],[f21946,f6310,f2242,f6318,f6314])).
% 4.25/1.00 thf(f6318,plain,(
% 4.25/1.00 spl1_213 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_213])])).
% 4.25/1.00 thf(f6310,plain,(
% 4.25/1.00 spl1_211 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_211])])).
% 4.25/1.00 thf(f21946,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | (~spl1_106 | spl1_211)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21945,f221])).
% 4.25/1.00 thf(f221,plain,(
% 4.25/1.00 (c5 != c3)),
% 4.25/1.00 inference(superposition,[],[f27,f218])).
% 4.25/1.00 thf(f21945,plain,(
% 4.25/1.00 (c5 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | (~spl1_106 | spl1_211)),
% 4.25/1.00 inference(forward_demodulation,[],[f21944,f2244])).
% 4.25/1.00 thf(f21944,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c8)) | spl1_211),
% 4.25/1.00 inference(subsumption_resolution,[],[f17451,f6311])).
% 4.25/1.00 thf(f6311,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | spl1_211),
% 4.25/1.00 inference(avatar_component_clause,[],[f6310])).
% 4.25/1.00 thf(f17451,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8))),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f17446])).
% 4.25/1.00 thf(f17446,plain,(
% 4.25/1.00 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8))),
% 4.25/1.00 inference(superposition,[],[f30,f474])).
% 4.25/1.00 thf(f21865,plain,(
% 4.25/1.00 spl1_68 | spl1_69 | spl1_67),
% 4.25/1.00 inference(avatar_split_clause,[],[f21864,f1409,f1417,f1413])).
% 4.25/1.00 thf(f1417,plain,(
% 4.25/1.00 spl1_69 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_69])])).
% 4.25/1.00 thf(f1409,plain,(
% 4.25/1.00 spl1_67 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c8))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_67])])).
% 4.25/1.00 thf(f21864,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | spl1_67),
% 4.25/1.00 inference(subsumption_resolution,[],[f21863,f1410])).
% 4.25/1.00 thf(f1410,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c8)) | spl1_67),
% 4.25/1.00 inference(avatar_component_clause,[],[f1409])).
% 4.25/1.00 thf(f21863,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c8))),
% 4.25/1.00 inference(subsumption_resolution,[],[f16303,f29])).
% 4.25/1.00 thf(f16303,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c1)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c8))),
% 4.25/1.00 inference(superposition,[],[f1405,f31])).
% 4.25/1.00 thf(f21832,plain,(
% 4.25/1.00 spl1_11 | ~spl1_30 | ~spl1_245),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f21831])).
% 4.25/1.00 thf(f21831,plain,(
% 4.25/1.00 $false | (spl1_11 | ~spl1_30 | ~spl1_245)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21829,f184])).
% 4.25/1.00 thf(f21829,plain,(
% 4.25/1.00 (c1 = c4) | (~spl1_30 | ~spl1_245)),
% 4.25/1.00 inference(backward_demodulation,[],[f21390,f8341])).
% 4.25/1.00 thf(f8341,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_245),
% 4.25/1.00 inference(avatar_component_clause,[],[f8339])).
% 4.25/1.00 thf(f21797,plain,(
% 4.25/1.00 spl1_183 | spl1_209 | spl1_182 | spl1_21 | ~spl1_59 | spl1_184),
% 4.25/1.00 inference(avatar_split_clause,[],[f21796,f4269,f1208,f303,f4261,f5143,f4265])).
% 4.25/1.00 thf(f4265,plain,(
% 4.25/1.00 spl1_183 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_183])])).
% 4.25/1.00 thf(f4261,plain,(
% 4.25/1.00 spl1_182 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_182])])).
% 4.25/1.00 thf(f1208,plain,(
% 4.25/1.00 spl1_59 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_59])])).
% 4.25/1.00 thf(f4269,plain,(
% 4.25/1.00 spl1_184 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_184])])).
% 4.25/1.00 thf(f21796,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (spl1_21 | ~spl1_59 | spl1_184)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21795,f4270])).
% 4.25/1.00 thf(f4270,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | spl1_184),
% 4.25/1.00 inference(avatar_component_clause,[],[f4269])).
% 4.25/1.00 thf(f21795,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (spl1_21 | ~spl1_59)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21729,f305])).
% 4.25/1.00 thf(f21729,plain,(
% 4.25/1.00 (c3 = c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | ~spl1_59),
% 4.25/1.00 inference(superposition,[],[f1210,f132])).
% 4.25/1.00 thf(f1210,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_59),
% 4.25/1.00 inference(avatar_component_clause,[],[f1208])).
% 4.25/1.00 thf(f21791,plain,(
% 4.25/1.00 spl1_21 | ~spl1_124 | ~spl1_145),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f21790])).
% 4.25/1.00 thf(f21790,plain,(
% 4.25/1.00 $false | (spl1_21 | ~spl1_124 | ~spl1_145)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21789,f305])).
% 4.25/1.00 thf(f21789,plain,(
% 4.25/1.00 (c3 = c2) | (~spl1_124 | ~spl1_145)),
% 4.25/1.00 inference(forward_demodulation,[],[f21788,f3176])).
% 4.25/1.00 thf(f3176,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c1)) | ~spl1_124),
% 4.25/1.00 inference(avatar_component_clause,[],[f3174])).
% 4.25/1.00 thf(f3174,plain,(
% 4.25/1.00 spl1_124 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c1))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_124])])).
% 4.25/1.00 thf(f21788,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c1)) | ~spl1_145),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f21779])).
% 4.25/1.00 thf(f21779,plain,(
% 4.25/1.00 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c1)) | ~spl1_145),
% 4.25/1.00 inference(superposition,[],[f79,f3423])).
% 4.25/1.00 thf(f3423,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | ~spl1_145),
% 4.25/1.00 inference(avatar_component_clause,[],[f3421])).
% 4.25/1.00 thf(f79,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c1))) )),
% 4.25/1.00 inference(superposition,[],[f26,f32])).
% 4.25/1.00 thf(f21604,plain,(
% 4.25/1.00 spl1_11 | ~spl1_54 | ~spl1_160),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f21603])).
% 4.25/1.00 thf(f21603,plain,(
% 4.25/1.00 $false | (spl1_11 | ~spl1_54 | ~spl1_160)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21600,f184])).
% 4.25/1.00 thf(f21600,plain,(
% 4.25/1.00 (c1 = c4) | (~spl1_54 | ~spl1_160)),
% 4.25/1.00 inference(backward_demodulation,[],[f21271,f4072])).
% 4.25/1.00 thf(f4072,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | ~spl1_160),
% 4.25/1.00 inference(avatar_component_clause,[],[f4070])).
% 4.25/1.00 thf(f21271,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | ~spl1_54),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f21266])).
% 4.25/1.00 thf(f21266,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | ~spl1_54),
% 4.25/1.00 inference(superposition,[],[f24,f937])).
% 4.25/1.00 thf(f21554,plain,(
% 4.25/1.00 spl1_8 | ~spl1_30 | ~spl1_195),
% 4.25/1.00 inference(avatar_contradiction_clause,[],[f21553])).
% 4.25/1.00 thf(f21553,plain,(
% 4.25/1.00 $false | (spl1_8 | ~spl1_30 | ~spl1_195)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21552,f170])).
% 4.25/1.00 thf(f21552,plain,(
% 4.25/1.00 (c1 = c2) | (~spl1_30 | ~spl1_195)),
% 4.25/1.00 inference(backward_demodulation,[],[f21390,f4321])).
% 4.25/1.00 thf(f4321,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_195),
% 4.25/1.00 inference(avatar_component_clause,[],[f4319])).
% 4.25/1.00 thf(f4319,plain,(
% 4.25/1.00 spl1_195 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_195])])).
% 4.25/1.00 thf(f21551,plain,(
% 4.25/1.00 spl1_195 | ~spl1_244),
% 4.25/1.00 inference(avatar_split_clause,[],[f21550,f8331,f4319])).
% 4.25/1.00 thf(f21550,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_244),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f21541])).
% 4.25/1.00 thf(f21541,plain,(
% 4.25/1.00 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_244),
% 4.25/1.00 inference(superposition,[],[f77,f8333])).
% 4.25/1.00 thf(f8333,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | ~spl1_244),
% 4.25/1.00 inference(avatar_component_clause,[],[f8331])).
% 4.25/1.00 thf(f77,plain,(
% 4.25/1.00 ( ! [X0 : $i] : ((c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c3))) )),
% 4.25/1.00 inference(superposition,[],[f26,f34])).
% 4.25/1.00 thf(f21443,plain,(
% 4.25/1.00 spl1_247 | ~spl1_185),
% 4.25/1.00 inference(avatar_split_clause,[],[f21440,f4275,f8895])).
% 4.25/1.00 thf(f8895,plain,(
% 4.25/1.00 spl1_247 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_247])])).
% 4.25/1.00 thf(f21440,plain,(
% 4.25/1.00 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | ~spl1_185),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f21433])).
% 4.25/1.00 thf(f21433,plain,(
% 4.25/1.00 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | ~spl1_185),
% 4.25/1.00 inference(superposition,[],[f79,f4277])).
% 4.25/1.00 thf(f21371,plain,(
% 4.25/1.00 spl1_183 | spl1_209 | spl1_182 | spl1_60 | spl1_184),
% 4.25/1.00 inference(avatar_split_clause,[],[f21370,f4269,f1212,f4261,f5143,f4265])).
% 4.25/1.00 thf(f1212,plain,(
% 4.25/1.00 spl1_60 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_60])])).
% 4.25/1.00 thf(f21370,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (spl1_60 | spl1_184)),
% 4.25/1.00 inference(subsumption_resolution,[],[f19729,f4270])).
% 4.25/1.00 thf(f19729,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | spl1_60),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f19727])).
% 4.25/1.00 thf(f19727,plain,(
% 4.25/1.00 (c3 != c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | spl1_60),
% 4.25/1.00 inference(superposition,[],[f1213,f132])).
% 4.25/1.00 thf(f1213,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | spl1_60),
% 4.25/1.00 inference(avatar_component_clause,[],[f1212])).
% 4.25/1.00 thf(f21369,plain,(
% 4.25/1.00 spl1_183 | spl1_209 | spl1_182 | spl1_2 | ~spl1_144 | spl1_184),
% 4.25/1.00 inference(avatar_split_clause,[],[f21368,f4269,f3417,f139,f4261,f5143,f4265])).
% 4.25/1.00 thf(f21368,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (spl1_2 | ~spl1_144 | spl1_184)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21300,f4270])).
% 4.25/1.00 thf(f21300,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (spl1_2 | ~spl1_144)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21007,f141])).
% 4.25/1.00 thf(f21007,plain,(
% 4.25/1.00 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | ~spl1_144),
% 4.25/1.00 inference(superposition,[],[f132,f20989])).
% 4.25/1.00 thf(f20989,plain,(
% 4.25/1.00 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_144),
% 4.25/1.00 inference(trivial_inequality_removal,[],[f20984])).
% 4.25/1.00 thf(f20984,plain,(
% 4.25/1.00 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_144),
% 4.25/1.00 inference(superposition,[],[f24,f3419])).
% 4.25/1.00 thf(f3419,plain,(
% 4.25/1.00 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | ~spl1_144),
% 4.25/1.00 inference(avatar_component_clause,[],[f3417])).
% 4.25/1.00 thf(f21351,plain,(
% 4.25/1.00 spl1_208 | spl1_185 | spl1_224 | spl1_225),
% 4.25/1.00 inference(avatar_split_clause,[],[f21314,f7987,f7983,f4275,f5137])).
% 4.25/1.00 thf(f5137,plain,(
% 4.25/1.00 spl1_208 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_208])])).
% 4.25/1.00 thf(f7983,plain,(
% 4.25/1.00 spl1_224 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_224])])).
% 4.25/1.00 thf(f7987,plain,(
% 4.25/1.00 spl1_225 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_225])])).
% 4.25/1.00 thf(f21314,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | (spl1_224 | spl1_225)),
% 4.25/1.00 inference(subsumption_resolution,[],[f21313,f7984])).
% 4.25/1.00 thf(f7984,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | spl1_224),
% 4.25/1.00 inference(avatar_component_clause,[],[f7983])).
% 4.25/1.00 thf(f21313,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | spl1_225),
% 4.25/1.00 inference(subsumption_resolution,[],[f7977,f7988])).
% 4.25/1.00 thf(f7988,plain,(
% 4.25/1.00 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | spl1_225),
% 4.25/1.00 inference(avatar_component_clause,[],[f7987])).
% 4.25/1.00 thf(f7977,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1))),
% 4.25/1.00 inference(subsumption_resolution,[],[f7951,f29])).
% 4.25/1.00 thf(f7951,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1))),
% 4.25/1.00 inference(superposition,[],[f4781,f32])).
% 4.25/1.00 thf(f21329,plain,(
% 4.25/1.00 spl1_36 | spl1_42 | spl1_35),
% 4.25/1.00 inference(avatar_split_clause,[],[f20700,f369,f429,f373])).
% 4.25/1.00 thf(f373,plain,(
% 4.25/1.00 spl1_36 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_36])])).
% 4.25/1.00 thf(f369,plain,(
% 4.25/1.00 spl1_35 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1))),
% 4.25/1.00 introduced(avatar_definition,[new_symbols(naming,[spl1_35])])).
% 4.25/1.00 thf(f20700,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | spl1_35),
% 4.25/1.00 inference(subsumption_resolution,[],[f20699,f370])).
% 4.25/1.00 thf(f370,plain,(
% 4.25/1.00 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | spl1_35),
% 4.25/1.00 inference(avatar_component_clause,[],[f369])).
% 4.25/1.00 thf(f20699,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1))),
% 4.25/1.00 inference(subsumption_resolution,[],[f19733,f29])).
% 4.25/1.00 thf(f19733,plain,(
% 4.25/1.00 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1))),
% 4.25/1.01 inference(superposition,[],[f295,f32])).
% 4.25/1.01 thf(f21321,plain,(
% 4.25/1.01 spl1_2 | ~spl1_64 | ~spl1_208),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f21320])).
% 4.25/1.01 thf(f21320,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_64 | ~spl1_208)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21318,f141])).
% 4.25/1.01 thf(f21318,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_64 | ~spl1_208)),
% 4.25/1.01 inference(backward_demodulation,[],[f20966,f5139])).
% 4.25/1.01 thf(f5139,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_208),
% 4.25/1.01 inference(avatar_component_clause,[],[f5137])).
% 4.25/1.01 thf(f20966,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_64),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f20961])).
% 4.25/1.01 thf(f20961,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_64),
% 4.25/1.01 inference(superposition,[],[f24,f1233])).
% 4.25/1.01 thf(f1233,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | ~spl1_64),
% 4.25/1.01 inference(avatar_component_clause,[],[f1231])).
% 4.25/1.01 thf(f1231,plain,(
% 4.25/1.01 spl1_64 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_64])])).
% 4.25/1.01 thf(f21317,plain,(
% 4.25/1.01 spl1_185 | spl1_2 | ~spl1_64 | spl1_224 | spl1_225),
% 4.25/1.01 inference(avatar_split_clause,[],[f21316,f7987,f7983,f1231,f139,f4275])).
% 4.25/1.01 thf(f21316,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (spl1_2 | ~spl1_64 | spl1_224 | spl1_225)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21315,f141])).
% 4.25/1.01 thf(f21315,plain,(
% 4.25/1.01 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (~spl1_64 | spl1_224 | spl1_225)),
% 4.25/1.01 inference(forward_demodulation,[],[f21314,f20966])).
% 4.25/1.01 thf(f21299,plain,(
% 4.25/1.01 spl1_11 | ~spl1_171 | ~spl1_191),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f21298])).
% 4.25/1.01 thf(f21298,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_171 | ~spl1_191)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21297,f184])).
% 4.25/1.01 thf(f21297,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_171 | ~spl1_191)),
% 4.25/1.01 inference(forward_demodulation,[],[f21296,f4176])).
% 4.25/1.01 thf(f21296,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_191),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f21291])).
% 4.25/1.01 thf(f21291,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_191),
% 4.25/1.01 inference(superposition,[],[f24,f4303])).
% 4.25/1.01 thf(f21186,plain,(
% 4.25/1.01 spl1_47 | spl1_227 | spl1_270 | spl1_271 | spl1_272 | ~spl1_279),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f21185])).
% 4.25/1.01 thf(f21185,plain,(
% 4.25/1.01 $false | (spl1_47 | spl1_227 | spl1_270 | spl1_271 | spl1_272 | ~spl1_279)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21184,f16028])).
% 4.25/1.01 thf(f16028,plain,(
% 4.25/1.01 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | spl1_270),
% 4.25/1.01 inference(avatar_component_clause,[],[f16027])).
% 4.25/1.01 thf(f16027,plain,(
% 4.25/1.01 spl1_270 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5)))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_270])])).
% 4.25/1.01 thf(f21184,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (spl1_47 | spl1_227 | spl1_271 | spl1_272 | ~spl1_279)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21183,f16032])).
% 4.25/1.01 thf(f16032,plain,(
% 4.25/1.01 (c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | spl1_271),
% 4.25/1.01 inference(avatar_component_clause,[],[f16031])).
% 4.25/1.01 thf(f16031,plain,(
% 4.25/1.01 spl1_271 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5)))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_271])])).
% 4.25/1.01 thf(f21183,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (spl1_47 | spl1_227 | spl1_272 | ~spl1_279)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21182,f7998])).
% 4.25/1.01 thf(f7998,plain,(
% 4.25/1.01 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | spl1_227),
% 4.25/1.01 inference(avatar_component_clause,[],[f7997])).
% 4.25/1.01 thf(f21182,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (spl1_47 | spl1_272 | ~spl1_279)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21181,f16036])).
% 4.25/1.01 thf(f16036,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | spl1_272),
% 4.25/1.01 inference(avatar_component_clause,[],[f16035])).
% 4.25/1.01 thf(f16035,plain,(
% 4.25/1.01 spl1_272 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5)))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_272])])).
% 4.25/1.01 thf(f21181,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (spl1_47 | ~spl1_279)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21168,f456])).
% 4.25/1.01 thf(f21168,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | ~spl1_279),
% 4.25/1.01 inference(superposition,[],[f132,f18566])).
% 4.25/1.01 thf(f18566,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c5))) | ~spl1_279),
% 4.25/1.01 inference(avatar_component_clause,[],[f18564])).
% 4.25/1.01 thf(f18564,plain,(
% 4.25/1.01 spl1_279 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c5)))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_279])])).
% 4.25/1.01 thf(f21135,plain,(
% 4.25/1.01 spl1_11 | ~spl1_216 | ~spl1_221),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f21134])).
% 4.25/1.01 thf(f21134,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_216 | ~spl1_221)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21133,f184])).
% 4.25/1.01 thf(f21133,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_216 | ~spl1_221)),
% 4.25/1.01 inference(forward_demodulation,[],[f21132,f6467])).
% 4.25/1.01 thf(f21132,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_216),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f21127])).
% 4.25/1.01 thf(f21127,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_216),
% 4.25/1.01 inference(superposition,[],[f24,f6423])).
% 4.25/1.01 thf(f6423,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | ~spl1_216),
% 4.25/1.01 inference(avatar_component_clause,[],[f6421])).
% 4.25/1.01 thf(f21121,plain,(
% 4.25/1.01 spl1_21 | ~spl1_153 | ~spl1_274),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f21120])).
% 4.25/1.01 thf(f21120,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_153 | ~spl1_274)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21119,f305])).
% 4.25/1.01 thf(f21119,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_153 | ~spl1_274)),
% 4.25/1.01 inference(forward_demodulation,[],[f21118,f16834])).
% 4.25/1.01 thf(f16834,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_274),
% 4.25/1.01 inference(avatar_component_clause,[],[f16832])).
% 4.25/1.01 thf(f16832,plain,(
% 4.25/1.01 spl1_274 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_274])])).
% 4.25/1.01 thf(f21118,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_153),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f21109])).
% 4.25/1.01 thf(f21109,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_153),
% 4.25/1.01 inference(superposition,[],[f26,f3718])).
% 4.25/1.01 thf(f3718,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | ~spl1_153),
% 4.25/1.01 inference(avatar_component_clause,[],[f3716])).
% 4.25/1.01 thf(f3716,plain,(
% 4.25/1.01 spl1_153 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5)))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_153])])).
% 4.25/1.01 thf(f21092,plain,(
% 4.25/1.01 spl1_214 | spl1_215 | spl1_216 | spl1_217 | spl1_274),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f21091])).
% 4.25/1.01 thf(f21091,plain,(
% 4.25/1.01 $false | (spl1_214 | spl1_215 | spl1_216 | spl1_217 | spl1_274)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21090,f6414])).
% 4.25/1.01 thf(f21090,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (spl1_215 | spl1_216 | spl1_217 | spl1_274)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21089,f6418])).
% 4.25/1.01 thf(f6418,plain,(
% 4.25/1.01 (c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | spl1_215),
% 4.25/1.01 inference(avatar_component_clause,[],[f6417])).
% 4.25/1.01 thf(f21089,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (spl1_216 | spl1_217 | spl1_274)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21088,f6422])).
% 4.25/1.01 thf(f21088,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (spl1_217 | spl1_274)),
% 4.25/1.01 inference(subsumption_resolution,[],[f21086,f6426])).
% 4.25/1.01 thf(f21086,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | spl1_274),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f21084])).
% 4.25/1.01 thf(f21084,plain,(
% 4.25/1.01 (c3 != c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | spl1_274),
% 4.25/1.01 inference(superposition,[],[f16833,f132])).
% 4.25/1.01 thf(f16833,plain,(
% 4.25/1.01 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | spl1_274),
% 4.25/1.01 inference(avatar_component_clause,[],[f16832])).
% 4.25/1.01 thf(f20888,plain,(
% 4.25/1.01 spl1_11 | ~spl1_185 | ~spl1_209),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f20887])).
% 4.25/1.01 thf(f20887,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_185 | ~spl1_209)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20886,f184])).
% 4.25/1.01 thf(f20886,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_185 | ~spl1_209)),
% 4.25/1.01 inference(forward_demodulation,[],[f20885,f4277])).
% 4.25/1.01 thf(f20885,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_209),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f20880])).
% 4.25/1.01 thf(f20880,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_209),
% 4.25/1.01 inference(superposition,[],[f70,f5145])).
% 4.25/1.01 thf(f20751,plain,(
% 4.25/1.01 spl1_36 | spl1_25 | ~spl1_31 | spl1_35),
% 4.25/1.01 inference(avatar_split_clause,[],[f20750,f369,f349,f321,f373])).
% 4.25/1.01 thf(f349,plain,(
% 4.25/1.01 spl1_31 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_31])])).
% 4.25/1.01 thf(f20750,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | (spl1_25 | ~spl1_31 | spl1_35)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20749,f323])).
% 4.25/1.01 thf(f20749,plain,(
% 4.25/1.01 (c2 = c4) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | (~spl1_31 | spl1_35)),
% 4.25/1.01 inference(forward_demodulation,[],[f20748,f351])).
% 4.25/1.01 thf(f351,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | ~spl1_31),
% 4.25/1.01 inference(avatar_component_clause,[],[f349])).
% 4.25/1.01 thf(f20748,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | spl1_35),
% 4.25/1.01 inference(subsumption_resolution,[],[f20747,f370])).
% 4.25/1.01 thf(f20747,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1))),
% 4.25/1.01 inference(subsumption_resolution,[],[f4702,f29])).
% 4.25/1.01 thf(f4702,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1))),
% 4.25/1.01 inference(superposition,[],[f295,f32])).
% 4.25/1.01 thf(f20691,plain,(
% 4.25/1.01 spl1_11 | ~spl1_55 | ~spl1_243),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f20690])).
% 4.25/1.01 thf(f20690,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_55 | ~spl1_243)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20689,f184])).
% 4.25/1.01 thf(f20689,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_55 | ~spl1_243)),
% 4.25/1.01 inference(forward_demodulation,[],[f20688,f941])).
% 4.25/1.01 thf(f20688,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_243),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f20683])).
% 4.25/1.01 thf(f20683,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_243),
% 4.25/1.01 inference(superposition,[],[f24,f8329])).
% 4.25/1.01 thf(f8329,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | ~spl1_243),
% 4.25/1.01 inference(avatar_component_clause,[],[f8327])).
% 4.25/1.01 thf(f20534,plain,(
% 4.25/1.01 spl1_2 | ~spl1_30 | ~spl1_194),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f20533])).
% 4.25/1.01 thf(f20533,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_30 | ~spl1_194)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20532,f141])).
% 4.25/1.01 thf(f20532,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_30 | ~spl1_194)),
% 4.25/1.01 inference(forward_demodulation,[],[f20531,f4317])).
% 4.25/1.01 thf(f4317,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_194),
% 4.25/1.01 inference(avatar_component_clause,[],[f4315])).
% 4.25/1.01 thf(f20531,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_30),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f20525])).
% 4.25/1.01 thf(f20525,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_30),
% 4.25/1.01 inference(superposition,[],[f75,f347])).
% 4.25/1.01 thf(f20481,plain,(
% 4.25/1.01 spl1_11 | ~spl1_61 | ~spl1_144),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f20480])).
% 4.25/1.01 thf(f20480,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_61 | ~spl1_144)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20479,f184])).
% 4.25/1.01 thf(f20479,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_61 | ~spl1_144)),
% 4.25/1.01 inference(forward_demodulation,[],[f20478,f1218])).
% 4.25/1.01 thf(f1218,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_61),
% 4.25/1.01 inference(avatar_component_clause,[],[f1216])).
% 4.25/1.01 thf(f1216,plain,(
% 4.25/1.01 spl1_61 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_61])])).
% 4.25/1.01 thf(f20478,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_144),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f20473])).
% 4.25/1.01 thf(f20473,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_144),
% 4.25/1.01 inference(superposition,[],[f24,f3419])).
% 4.25/1.01 thf(f20345,plain,(
% 4.25/1.01 spl1_2 | ~spl1_23 | ~spl1_274),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f20344])).
% 4.25/1.01 thf(f20344,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_23 | ~spl1_274)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20343,f141])).
% 4.25/1.01 thf(f20343,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_23 | ~spl1_274)),
% 4.25/1.01 inference(forward_demodulation,[],[f20342,f16834])).
% 4.25/1.01 thf(f20342,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_23),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f20336])).
% 4.25/1.01 thf(f20336,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_23),
% 4.25/1.01 inference(superposition,[],[f75,f315])).
% 4.25/1.01 thf(f315,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | ~spl1_23),
% 4.25/1.01 inference(avatar_component_clause,[],[f313])).
% 4.25/1.01 thf(f313,plain,(
% 4.25/1.01 spl1_23 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_23])])).
% 4.25/1.01 thf(f20309,plain,(
% 4.25/1.01 spl1_25 | ~spl1_53 | ~spl1_55),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f20308])).
% 4.25/1.01 thf(f20308,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_53 | ~spl1_55)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20307,f323])).
% 4.25/1.01 thf(f20307,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_53 | ~spl1_55)),
% 4.25/1.01 inference(backward_demodulation,[],[f933,f941])).
% 4.25/1.01 thf(f933,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_53),
% 4.25/1.01 inference(avatar_component_clause,[],[f931])).
% 4.25/1.01 thf(f931,plain,(
% 4.25/1.01 spl1_53 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_53])])).
% 4.25/1.01 thf(f20298,plain,(
% 4.25/1.01 spl1_192 | spl1_191 | spl1_275 | spl1_47 | spl1_193 | ~spl1_245),
% 4.25/1.01 inference(avatar_split_clause,[],[f20297,f8339,f4309,f454,f18121,f4301,f4305])).
% 4.25/1.01 thf(f20297,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (spl1_47 | spl1_193 | ~spl1_245)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20296,f4310])).
% 4.25/1.01 thf(f20296,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (spl1_47 | ~spl1_245)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19934,f456])).
% 4.25/1.01 thf(f19934,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | ~spl1_245),
% 4.25/1.01 inference(superposition,[],[f8341,f132])).
% 4.25/1.01 thf(f20282,plain,(
% 4.25/1.01 spl1_25 | ~spl1_59 | ~spl1_61),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f20281])).
% 4.25/1.01 thf(f20281,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_59 | ~spl1_61)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20279,f323])).
% 4.25/1.01 thf(f20279,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_59 | ~spl1_61)),
% 4.25/1.01 inference(backward_demodulation,[],[f1210,f1218])).
% 4.25/1.01 thf(f20278,plain,(
% 4.25/1.01 spl1_63 | spl1_64 | spl1_2 | ~spl1_36 | spl1_62),
% 4.25/1.01 inference(avatar_split_clause,[],[f20277,f1223,f373,f139,f1231,f1227])).
% 4.25/1.01 thf(f1227,plain,(
% 4.25/1.01 spl1_63 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_63])])).
% 4.25/1.01 thf(f1223,plain,(
% 4.25/1.01 spl1_62 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_62])])).
% 4.25/1.01 thf(f20277,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (spl1_2 | ~spl1_36 | spl1_62)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20276,f1224])).
% 4.25/1.01 thf(f1224,plain,(
% 4.25/1.01 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | spl1_62),
% 4.25/1.01 inference(avatar_component_clause,[],[f1223])).
% 4.25/1.01 thf(f20276,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (spl1_2 | ~spl1_36)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20275,f29])).
% 4.25/1.01 thf(f20275,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (spl1_2 | ~spl1_36)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17384,f141])).
% 4.25/1.01 thf(f17384,plain,(
% 4.25/1.01 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | ~spl1_36),
% 4.25/1.01 inference(superposition,[],[f3090,f132])).
% 4.25/1.01 thf(f3090,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c1)) | ~spl1_36),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f3086])).
% 4.25/1.01 thf(f3086,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c1)) | ~spl1_36),
% 4.25/1.01 inference(superposition,[],[f75,f375])).
% 4.25/1.01 thf(f375,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | ~spl1_36),
% 4.25/1.01 inference(avatar_component_clause,[],[f373])).
% 4.25/1.01 thf(f20270,plain,(
% 4.25/1.01 spl1_63 | spl1_64 | spl1_62 | spl1_124),
% 4.25/1.01 inference(avatar_split_clause,[],[f20269,f3174,f1223,f1231,f1227])).
% 4.25/1.01 thf(f20269,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (spl1_62 | spl1_124)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20268,f1224])).
% 4.25/1.01 thf(f20268,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | spl1_124),
% 4.25/1.01 inference(subsumption_resolution,[],[f17487,f29])).
% 4.25/1.01 thf(f17487,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | spl1_124),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f17485])).
% 4.25/1.01 thf(f17485,plain,(
% 4.25/1.01 (c3 != c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | spl1_124),
% 4.25/1.01 inference(superposition,[],[f3175,f132])).
% 4.25/1.01 thf(f3175,plain,(
% 4.25/1.01 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c1)) | spl1_124),
% 4.25/1.01 inference(avatar_component_clause,[],[f3174])).
% 4.25/1.01 thf(f20258,plain,(
% 4.25/1.01 spl1_8 | ~spl1_64 | ~spl1_207),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f20257])).
% 4.25/1.01 thf(f20257,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_64 | ~spl1_207)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20256,f170])).
% 4.25/1.01 thf(f20256,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_64 | ~spl1_207)),
% 4.25/1.01 inference(backward_demodulation,[],[f14257,f5135])).
% 4.25/1.01 thf(f5135,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_207),
% 4.25/1.01 inference(avatar_component_clause,[],[f5133])).
% 4.25/1.01 thf(f5133,plain,(
% 4.25/1.01 spl1_207 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_207])])).
% 4.25/1.01 thf(f14257,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_64),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14252])).
% 4.25/1.01 thf(f14252,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_64),
% 4.25/1.01 inference(superposition,[],[f24,f1233])).
% 4.25/1.01 thf(f20253,plain,(
% 4.25/1.01 spl1_207 | ~spl1_182),
% 4.25/1.01 inference(avatar_split_clause,[],[f20236,f4261,f5133])).
% 4.25/1.01 thf(f20236,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_182),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f20230])).
% 4.25/1.01 thf(f20230,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_182),
% 4.25/1.01 inference(superposition,[],[f79,f4263])).
% 4.25/1.01 thf(f4263,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | ~spl1_182),
% 4.25/1.01 inference(avatar_component_clause,[],[f4261])).
% 4.25/1.01 thf(f20249,plain,(
% 4.25/1.01 spl1_40 | spl1_23 | spl1_22 | spl1_25 | ~spl1_44),
% 4.25/1.01 inference(avatar_split_clause,[],[f20248,f442,f321,f309,f313,f419])).
% 4.25/1.01 thf(f419,plain,(
% 4.25/1.01 spl1_40 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_40])])).
% 4.25/1.01 thf(f309,plain,(
% 4.25/1.01 spl1_22 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_22])])).
% 4.25/1.01 thf(f20248,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (spl1_22 | spl1_25 | ~spl1_44)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20247,f310])).
% 4.25/1.01 thf(f310,plain,(
% 4.25/1.01 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | spl1_22),
% 4.25/1.01 inference(avatar_component_clause,[],[f309])).
% 4.25/1.01 thf(f20247,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (spl1_25 | ~spl1_44)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19805,f323])).
% 4.25/1.01 thf(f19805,plain,(
% 4.25/1.01 (c2 = c4) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | ~spl1_44),
% 4.25/1.01 inference(superposition,[],[f18799,f295])).
% 4.25/1.01 thf(f20243,plain,(
% 4.25/1.01 spl1_40 | spl1_23 | spl1_22 | spl1_65),
% 4.25/1.01 inference(avatar_split_clause,[],[f20242,f1331,f309,f313,f419])).
% 4.25/1.01 thf(f20242,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (spl1_22 | spl1_65)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19824,f310])).
% 4.25/1.01 thf(f19824,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | spl1_65),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f19821])).
% 4.25/1.01 thf(f19821,plain,(
% 4.25/1.01 (c4 != c4) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | spl1_65),
% 4.25/1.01 inference(superposition,[],[f1332,f295])).
% 4.25/1.01 thf(f1332,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | spl1_65),
% 4.25/1.01 inference(avatar_component_clause,[],[f1331])).
% 4.25/1.01 thf(f20179,plain,(
% 4.25/1.01 spl1_11 | ~spl1_165 | ~spl1_223),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f20178])).
% 4.25/1.01 thf(f20178,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_165 | ~spl1_223)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20177,f184])).
% 4.25/1.01 thf(f20177,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_165 | ~spl1_223)),
% 4.25/1.01 inference(forward_demodulation,[],[f20176,f4094])).
% 4.25/1.01 thf(f4094,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_165),
% 4.25/1.01 inference(avatar_component_clause,[],[f4092])).
% 4.25/1.01 thf(f20176,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_223),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f20171])).
% 4.25/1.01 thf(f20171,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_223),
% 4.25/1.01 inference(superposition,[],[f70,f7971])).
% 4.25/1.01 thf(f20155,plain,(
% 4.25/1.01 spl1_215 | spl1_216 | spl1_217 | spl1_47 | spl1_214 | ~spl1_246),
% 4.25/1.01 inference(avatar_split_clause,[],[f20154,f8351,f6413,f454,f6425,f6421,f6417])).
% 4.25/1.01 thf(f20154,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (spl1_47 | spl1_214 | ~spl1_246)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20153,f6414])).
% 4.25/1.01 thf(f20153,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (spl1_47 | ~spl1_246)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19947,f456])).
% 4.25/1.01 thf(f19947,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | ~spl1_246),
% 4.25/1.01 inference(superposition,[],[f8353,f132])).
% 4.25/1.01 thf(f8353,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_246),
% 4.25/1.01 inference(avatar_component_clause,[],[f8351])).
% 4.25/1.01 thf(f20134,plain,(
% 4.25/1.01 spl1_154 | spl1_153 | spl1_25 | spl1_152 | spl1_155 | ~spl1_213),
% 4.25/1.01 inference(avatar_split_clause,[],[f20133,f6318,f3724,f3710,f321,f3716,f3720])).
% 4.25/1.01 thf(f3720,plain,(
% 4.25/1.01 spl1_154 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5)))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_154])])).
% 4.25/1.01 thf(f3724,plain,(
% 4.25/1.01 spl1_155 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5)))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_155])])).
% 4.25/1.01 thf(f20133,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (spl1_25 | spl1_152 | spl1_155 | ~spl1_213)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20132,f3725])).
% 4.25/1.01 thf(f3725,plain,(
% 4.25/1.01 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | spl1_155),
% 4.25/1.01 inference(avatar_component_clause,[],[f3724])).
% 4.25/1.01 thf(f20132,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (spl1_25 | spl1_152 | ~spl1_213)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20131,f3711])).
% 4.25/1.01 thf(f3711,plain,(
% 4.25/1.01 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | spl1_152),
% 4.25/1.01 inference(avatar_component_clause,[],[f3710])).
% 4.25/1.01 thf(f20131,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_213)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19894,f323])).
% 4.25/1.01 thf(f19894,plain,(
% 4.25/1.01 (c2 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | ~spl1_213),
% 4.25/1.01 inference(superposition,[],[f6304,f17468])).
% 4.25/1.01 thf(f17468,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_213),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f17459])).
% 4.25/1.01 thf(f17459,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_213),
% 4.25/1.01 inference(superposition,[],[f81,f6320])).
% 4.25/1.01 thf(f6320,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | ~spl1_213),
% 4.25/1.01 inference(avatar_component_clause,[],[f6318])).
% 4.25/1.01 thf(f20130,plain,(
% 4.25/1.01 spl1_154 | spl1_153 | spl1_142 | spl1_152 | spl1_155),
% 4.25/1.01 inference(avatar_split_clause,[],[f20129,f3724,f3710,f3407,f3716,f3720])).
% 4.25/1.01 thf(f20129,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (spl1_142 | spl1_152 | spl1_155)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20128,f3725])).
% 4.25/1.01 thf(f20128,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (spl1_142 | spl1_152)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19909,f3711])).
% 4.25/1.01 thf(f19909,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | spl1_142),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f19898])).
% 4.25/1.01 thf(f19898,plain,(
% 4.25/1.01 (c4 != c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | spl1_142),
% 4.25/1.01 inference(superposition,[],[f3408,f6304])).
% 4.25/1.01 thf(f3408,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_142),
% 4.25/1.01 inference(avatar_component_clause,[],[f3407])).
% 4.25/1.01 thf(f20121,plain,(
% 4.25/1.01 spl1_53 | spl1_54 | spl1_55 | spl1_21 | spl1_52 | ~spl1_246),
% 4.25/1.01 inference(avatar_split_clause,[],[f20120,f8351,f927,f303,f939,f935,f931])).
% 4.25/1.01 thf(f927,plain,(
% 4.25/1.01 spl1_52 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_52])])).
% 4.25/1.01 thf(f20120,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | (spl1_21 | spl1_52 | ~spl1_246)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20119,f928])).
% 4.25/1.01 thf(f928,plain,(
% 4.25/1.01 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | spl1_52),
% 4.25/1.01 inference(avatar_component_clause,[],[f927])).
% 4.25/1.01 thf(f20119,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | (spl1_21 | ~spl1_246)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20062,f305])).
% 4.25/1.01 thf(f20062,plain,(
% 4.25/1.01 (c3 = c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_246),
% 4.25/1.01 inference(superposition,[],[f19958,f132])).
% 4.25/1.01 thf(f19958,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | ~spl1_246),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f19950])).
% 4.25/1.01 thf(f19950,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | ~spl1_246),
% 4.25/1.01 inference(superposition,[],[f76,f8353])).
% 4.25/1.01 thf(f76,plain,(
% 4.25/1.01 ( ! [X0 : $i] : ((c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c4))) )),
% 4.25/1.01 inference(superposition,[],[f26,f35])).
% 4.25/1.01 thf(f20111,plain,(
% 4.25/1.01 spl1_25 | ~spl1_153 | ~spl1_246),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f20110])).
% 4.25/1.01 thf(f20110,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_153 | ~spl1_246)),
% 4.25/1.01 inference(subsumption_resolution,[],[f20109,f323])).
% 4.25/1.01 thf(f20109,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_153 | ~spl1_246)),
% 4.25/1.01 inference(forward_demodulation,[],[f20104,f8353])).
% 4.25/1.01 thf(f20104,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_153),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f20095])).
% 4.25/1.01 thf(f20095,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_153),
% 4.25/1.01 inference(superposition,[],[f26,f3718])).
% 4.25/1.01 thf(f19924,plain,(
% 4.25/1.01 spl1_8 | ~spl1_59 | ~spl1_144),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f19923])).
% 4.25/1.01 thf(f19923,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_59 | ~spl1_144)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19922,f170])).
% 4.25/1.01 thf(f19922,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_59 | ~spl1_144)),
% 4.25/1.01 inference(forward_demodulation,[],[f19921,f1210])).
% 4.25/1.01 thf(f19921,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_144),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f19916])).
% 4.25/1.01 thf(f19916,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_144),
% 4.25/1.01 inference(superposition,[],[f24,f3419])).
% 4.25/1.01 thf(f19854,plain,(
% 4.25/1.01 spl1_59 | ~spl1_275),
% 4.25/1.01 inference(avatar_split_clause,[],[f19851,f18121,f1208])).
% 4.25/1.01 thf(f19851,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_275),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f19844])).
% 4.25/1.01 thf(f19844,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_275),
% 4.25/1.01 inference(superposition,[],[f78,f18123])).
% 4.25/1.01 thf(f18123,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | ~spl1_275),
% 4.25/1.01 inference(avatar_component_clause,[],[f18121])).
% 4.25/1.01 thf(f78,plain,(
% 4.25/1.01 ( ! [X0 : $i] : ((c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X0),c2))) )),
% 4.25/1.01 inference(superposition,[],[f26,f33])).
% 4.25/1.01 thf(f19652,plain,(
% 4.25/1.01 spl1_21 | ~spl1_24 | ~spl1_27),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f19651])).
% 4.25/1.01 thf(f19651,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_24 | ~spl1_27)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19650,f305])).
% 4.25/1.01 thf(f19650,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_24 | ~spl1_27)),
% 4.25/1.01 inference(forward_demodulation,[],[f319,f333])).
% 4.25/1.01 thf(f333,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | ~spl1_27),
% 4.25/1.01 inference(avatar_component_clause,[],[f331])).
% 4.25/1.01 thf(f319,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | ~spl1_24),
% 4.25/1.01 inference(avatar_component_clause,[],[f317])).
% 4.25/1.01 thf(f317,plain,(
% 4.25/1.01 spl1_24 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_24])])).
% 4.25/1.01 thf(f19646,plain,(
% 4.25/1.01 spl1_25 | ~spl1_219 | ~spl1_221),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f19645])).
% 4.25/1.01 thf(f19645,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_219 | ~spl1_221)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19644,f323])).
% 4.25/1.01 thf(f19644,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_219 | ~spl1_221)),
% 4.25/1.01 inference(backward_demodulation,[],[f6459,f6467])).
% 4.25/1.01 thf(f19643,plain,(
% 4.25/1.01 spl1_221 | ~spl1_161),
% 4.25/1.01 inference(avatar_split_clause,[],[f19640,f4074,f6465])).
% 4.25/1.01 thf(f19640,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_161),
% 4.25/1.01 inference(forward_demodulation,[],[f19639,f35])).
% 4.25/1.01 thf(f19639,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c4))) | ~spl1_161),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f19636])).
% 4.25/1.01 thf(f19636,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c4))) | ~spl1_161),
% 4.25/1.01 inference(superposition,[],[f25,f4076])).
% 4.25/1.01 thf(f4076,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | ~spl1_161),
% 4.25/1.01 inference(avatar_component_clause,[],[f4074])).
% 4.25/1.01 thf(f19628,plain,(
% 4.25/1.01 spl1_161 | spl1_223 | spl1_21 | ~spl1_53 | spl1_160 | spl1_162),
% 4.25/1.01 inference(avatar_split_clause,[],[f19627,f4078,f4070,f931,f303,f7969,f4074])).
% 4.25/1.01 thf(f19627,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (spl1_21 | ~spl1_53 | spl1_160 | spl1_162)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19626,f4079])).
% 4.25/1.01 thf(f19626,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (spl1_21 | ~spl1_53 | spl1_160)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19625,f4071])).
% 4.25/1.01 thf(f19625,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (spl1_21 | ~spl1_53)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19614,f305])).
% 4.25/1.01 thf(f19614,plain,(
% 4.25/1.01 (c3 = c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | ~spl1_53),
% 4.25/1.01 inference(superposition,[],[f132,f933])).
% 4.25/1.01 thf(f19326,plain,(
% 4.25/1.01 spl1_11 | ~spl1_162),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f19325])).
% 4.25/1.01 thf(f19325,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_162)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19324,f220])).
% 4.25/1.01 thf(f19324,plain,(
% 4.25/1.01 (c5 = c4) | (spl1_11 | ~spl1_162)),
% 4.25/1.01 inference(forward_demodulation,[],[f19323,f19191])).
% 4.25/1.01 thf(f19191,plain,(
% 4.25/1.01 (c8 = c5) | (spl1_11 | ~spl1_162)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19186,f184])).
% 4.25/1.01 thf(f19186,plain,(
% 4.25/1.01 (c1 = c4) | (c8 = c5) | ~spl1_162),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f19159])).
% 4.25/1.01 thf(f19159,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c4) | (c8 = c5) | ~spl1_162),
% 4.25/1.01 inference(superposition,[],[f19136,f391])).
% 4.25/1.01 thf(f391,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X0),X1)) | (c1 = X1) | (c8 = X0)) )),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f390])).
% 4.25/1.01 thf(f390,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (c8 = X0) | (c1 = X1) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X0),X1))) )),
% 4.25/1.01 inference(superposition,[],[f15,f4])).
% 4.25/1.01 thf(f4,plain,(
% 4.25/1.01 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 4.25/1.01 introduced(fool_axiom,[])).
% 4.25/1.01 thf(f15,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X1),X0)) | (c8 = X1) | (c1 = X0)) )),
% 4.25/1.01 inference(cnf_transformation,[],[f11])).
% 4.25/1.01 thf(f19136,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c5),c4)) | ~spl1_162),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f19135])).
% 4.25/1.01 thf(f19135,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c5),c4)) | ~spl1_162),
% 4.25/1.01 inference(superposition,[],[f21,f4080])).
% 4.25/1.01 thf(f4080,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | ~spl1_162),
% 4.25/1.01 inference(avatar_component_clause,[],[f4078])).
% 4.25/1.01 thf(f21,plain,(
% 4.25/1.01 ( ! [X8 : $i,X9 : $i] : ((c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,X8),X9)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X8),X9))) )),
% 4.25/1.01 inference(cnf_transformation,[],[f12])).
% 4.25/1.01 thf(f19323,plain,(
% 4.25/1.01 (c8 = c4) | (spl1_11 | ~spl1_162)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19173,f184])).
% 4.25/1.01 thf(f19173,plain,(
% 4.25/1.01 (c1 = c4) | (c8 = c4) | ~spl1_162),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f19172])).
% 4.25/1.01 thf(f19172,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c4) | (c8 = c4) | ~spl1_162),
% 4.25/1.01 inference(superposition,[],[f396,f19136])).
% 4.25/1.01 thf(f396,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X0),X1)) | (c1 = X1) | (c8 = X1)) )),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f395])).
% 4.25/1.01 thf(f395,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (c8 = X1) | (c1 = X1) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X0),X1))) )),
% 4.25/1.01 inference(superposition,[],[f16,f4])).
% 4.25/1.01 thf(f16,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X1),X0)) | (c8 = X0) | (c1 = X0)) )),
% 4.25/1.01 inference(cnf_transformation,[],[f11])).
% 4.25/1.01 thf(f19078,plain,(
% 4.25/1.01 spl1_215 | ~spl1_279),
% 4.25/1.01 inference(avatar_split_clause,[],[f18873,f18564,f6417])).
% 4.25/1.01 thf(f18873,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | ~spl1_279),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18866])).
% 4.25/1.01 thf(f18866,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | ~spl1_279),
% 4.25/1.01 inference(superposition,[],[f26,f18566])).
% 4.25/1.01 thf(f19059,plain,(
% 4.25/1.01 spl1_24 | ~spl1_40),
% 4.25/1.01 inference(avatar_split_clause,[],[f19058,f419,f317])).
% 4.25/1.01 thf(f19058,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | ~spl1_40),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f19050])).
% 4.25/1.01 thf(f19050,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | ~spl1_40),
% 4.25/1.01 inference(superposition,[],[f76,f421])).
% 4.25/1.01 thf(f421,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | ~spl1_40),
% 4.25/1.01 inference(avatar_component_clause,[],[f419])).
% 4.25/1.01 thf(f19024,plain,(
% 4.25/1.01 spl1_162 | spl1_161 | spl1_223 | spl1_160 | spl1_2 | ~spl1_243),
% 4.25/1.01 inference(avatar_split_clause,[],[f19023,f8327,f139,f4070,f7969,f4074,f4078])).
% 4.25/1.01 thf(f19023,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (spl1_2 | ~spl1_243)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18828,f141])).
% 4.25/1.01 thf(f18828,plain,(
% 4.25/1.01 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c4)) | ~spl1_243),
% 4.25/1.01 inference(superposition,[],[f18827,f132])).
% 4.25/1.01 thf(f18827,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_243),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18822])).
% 4.25/1.01 thf(f18822,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_243),
% 4.25/1.01 inference(superposition,[],[f24,f8329])).
% 4.25/1.01 thf(f19009,plain,(
% 4.25/1.01 ~spl1_160 | spl1_172),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f19008])).
% 4.25/1.01 thf(f19008,plain,(
% 4.25/1.01 $false | (~spl1_160 | spl1_172)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11080,f4179])).
% 4.25/1.01 thf(f4179,plain,(
% 4.25/1.01 (c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | spl1_172),
% 4.25/1.01 inference(avatar_component_clause,[],[f4178])).
% 4.25/1.01 thf(f11080,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_160),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11074])).
% 4.25/1.01 thf(f11074,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_160),
% 4.25/1.01 inference(superposition,[],[f77,f4072])).
% 4.25/1.01 thf(f19006,plain,(
% 4.25/1.01 spl1_25 | ~spl1_160 | ~spl1_171),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f19005])).
% 4.25/1.01 thf(f19005,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_160 | ~spl1_171)),
% 4.25/1.01 inference(subsumption_resolution,[],[f19004,f323])).
% 4.25/1.01 thf(f19004,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_160 | ~spl1_171)),
% 4.25/1.01 inference(forward_demodulation,[],[f11080,f4176])).
% 4.25/1.01 thf(f18950,plain,(
% 4.25/1.01 spl1_111 | spl1_112 | ~spl1_155),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f18949])).
% 4.25/1.01 thf(f18949,plain,(
% 4.25/1.01 $false | (spl1_111 | spl1_112 | ~spl1_155)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18948,f2502])).
% 4.25/1.01 thf(f2502,plain,(
% 4.25/1.01 (c8 != vAPP($i,$i,s,c5)) | spl1_112),
% 4.25/1.01 inference(avatar_component_clause,[],[f2501])).
% 4.25/1.01 thf(f2501,plain,(
% 4.25/1.01 spl1_112 <=> (c8 = vAPP($i,$i,s,c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_112])])).
% 4.25/1.01 thf(f18948,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c5)) | (spl1_111 | ~spl1_155)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18906,f2498])).
% 4.25/1.01 thf(f2498,plain,(
% 4.25/1.01 (c1 != vAPP($i,$i,s,c5)) | spl1_111),
% 4.25/1.01 inference(avatar_component_clause,[],[f2497])).
% 4.25/1.01 thf(f2497,plain,(
% 4.25/1.01 spl1_111 <=> (c1 = vAPP($i,$i,s,c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_111])])).
% 4.25/1.01 thf(f18906,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c5)) | (c8 = vAPP($i,$i,s,c5)) | ~spl1_155),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18905])).
% 4.25/1.01 thf(f18905,plain,(
% 4.25/1.01 ($true = $false) | (c1 = vAPP($i,$i,s,c5)) | (c8 = vAPP($i,$i,s,c5)) | ~spl1_155),
% 4.25/1.01 inference(superposition,[],[f396,f18863])).
% 4.25/1.01 thf(f18863,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | ~spl1_155),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18862])).
% 4.25/1.01 thf(f18862,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | ~spl1_155),
% 4.25/1.01 inference(superposition,[],[f21,f3726])).
% 4.25/1.01 thf(f3726,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | ~spl1_155),
% 4.25/1.01 inference(avatar_component_clause,[],[f3724])).
% 4.25/1.01 thf(f18779,plain,(
% 4.25/1.01 spl1_279 | ~spl1_215),
% 4.25/1.01 inference(avatar_split_clause,[],[f18778,f6417,f18564])).
% 4.25/1.01 thf(f18778,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c5))) | ~spl1_215),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18775])).
% 4.25/1.01 thf(f18775,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c5))) | ~spl1_215),
% 4.25/1.01 inference(superposition,[],[f25,f6419])).
% 4.25/1.01 thf(f6419,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | ~spl1_215),
% 4.25/1.01 inference(avatar_component_clause,[],[f6417])).
% 4.25/1.01 thf(f18757,plain,(
% 4.25/1.01 spl1_8 | ~spl1_45 | ~spl1_213),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f18756])).
% 4.25/1.01 thf(f18756,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_45 | ~spl1_213)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18755,f170])).
% 4.25/1.01 thf(f18755,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_45 | ~spl1_213)),
% 4.25/1.01 inference(forward_demodulation,[],[f18754,f17468])).
% 4.25/1.01 thf(f18754,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_45),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18748])).
% 4.25/1.01 thf(f18748,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_45),
% 4.25/1.01 inference(superposition,[],[f75,f448])).
% 4.25/1.01 thf(f18683,plain,(
% 4.25/1.01 spl1_21 | ~spl1_194 | ~spl1_244),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f18682])).
% 4.25/1.01 thf(f18682,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_194 | ~spl1_244)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18681,f305])).
% 4.25/1.01 thf(f18681,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_194 | ~spl1_244)),
% 4.25/1.01 inference(forward_demodulation,[],[f18680,f4317])).
% 4.25/1.01 thf(f18680,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_244),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18671])).
% 4.25/1.01 thf(f18671,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_244),
% 4.25/1.01 inference(superposition,[],[f77,f8333])).
% 4.25/1.01 thf(f18585,plain,(
% 4.25/1.01 spl1_243 | spl1_244 | spl1_11 | ~spl1_23 | ~spl1_39 | spl1_47 | spl1_242),
% 4.25/1.01 inference(avatar_split_clause,[],[f18584,f8323,f454,f415,f313,f182,f8331,f8327])).
% 4.25/1.01 thf(f18584,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (spl1_11 | ~spl1_23 | ~spl1_39 | spl1_47 | spl1_242)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18583,f456])).
% 4.25/1.01 thf(f18583,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (spl1_11 | ~spl1_23 | ~spl1_39 | spl1_242)),
% 4.25/1.01 inference(forward_demodulation,[],[f18582,f417])).
% 4.25/1.01 thf(f417,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | ~spl1_39),
% 4.25/1.01 inference(avatar_component_clause,[],[f415])).
% 4.25/1.01 thf(f18582,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (spl1_11 | ~spl1_23 | spl1_242)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18581,f184])).
% 4.25/1.01 thf(f18581,plain,(
% 4.25/1.01 (c1 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (~spl1_23 | spl1_242)),
% 4.25/1.01 inference(forward_demodulation,[],[f18580,f17168])).
% 4.25/1.01 thf(f17168,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_23),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f17159])).
% 4.25/1.01 thf(f17159,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_23),
% 4.25/1.01 inference(superposition,[],[f75,f315])).
% 4.25/1.01 thf(f18580,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | spl1_242),
% 4.25/1.01 inference(subsumption_resolution,[],[f10536,f8324])).
% 4.25/1.01 thf(f10536,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4))),
% 4.25/1.01 inference(superposition,[],[f6304,f35])).
% 4.25/1.01 thf(f18549,plain,(
% 4.25/1.01 spl1_25 | ~spl1_244 | ~spl1_245),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f18548])).
% 4.25/1.01 thf(f18548,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_244 | ~spl1_245)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18547,f323])).
% 4.25/1.01 thf(f18547,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_244 | ~spl1_245)),
% 4.25/1.01 inference(forward_demodulation,[],[f18546,f8341])).
% 4.25/1.01 thf(f18546,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_244),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18537])).
% 4.25/1.01 thf(f18537,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c3)) | ~spl1_244),
% 4.25/1.01 inference(superposition,[],[f77,f8333])).
% 4.25/1.01 thf(f18411,plain,(
% 4.25/1.01 spl1_21 | ~spl1_60 | ~spl1_275),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f18410])).
% 4.25/1.01 thf(f18410,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_60 | ~spl1_275)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18409,f305])).
% 4.25/1.01 thf(f18409,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_60 | ~spl1_275)),
% 4.25/1.01 inference(forward_demodulation,[],[f18408,f1214])).
% 4.25/1.01 thf(f1214,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_60),
% 4.25/1.01 inference(avatar_component_clause,[],[f1212])).
% 4.25/1.01 thf(f18408,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_275),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18401])).
% 4.25/1.01 thf(f18401,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_275),
% 4.25/1.01 inference(superposition,[],[f78,f18123])).
% 4.25/1.01 thf(f18372,plain,(
% 4.25/1.01 spl1_49 | spl1_111 | ~spl1_193),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f18371])).
% 4.25/1.01 thf(f18371,plain,(
% 4.25/1.01 $false | (spl1_49 | spl1_111 | ~spl1_193)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18370,f837])).
% 4.25/1.01 thf(f837,plain,(
% 4.25/1.01 (c8 != c3) | spl1_49),
% 4.25/1.01 inference(avatar_component_clause,[],[f836])).
% 4.25/1.01 thf(f836,plain,(
% 4.25/1.01 spl1_49 <=> (c8 = c3)),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_49])])).
% 4.25/1.01 thf(f18370,plain,(
% 4.25/1.01 (c8 = c3) | (spl1_111 | ~spl1_193)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18330,f2498])).
% 4.25/1.01 thf(f18330,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c5)) | (c8 = c3) | ~spl1_193),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18325])).
% 4.25/1.01 thf(f18325,plain,(
% 4.25/1.01 ($true = $false) | (c1 = vAPP($i,$i,s,c5)) | (c8 = c3) | ~spl1_193),
% 4.25/1.01 inference(superposition,[],[f269,f18312])).
% 4.25/1.01 thf(f18312,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,c5)),c3)) | ~spl1_193),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18311])).
% 4.25/1.01 thf(f18311,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,c5)),c3)) | ~spl1_193),
% 4.25/1.01 inference(superposition,[],[f21,f4311])).
% 4.25/1.01 thf(f4311,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | ~spl1_193),
% 4.25/1.01 inference(avatar_component_clause,[],[f4309])).
% 4.25/1.01 thf(f269,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X0),X1)) | (c1 = X0) | (c8 = X1)) )),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f268])).
% 4.25/1.01 thf(f268,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (c8 = X1) | (c1 = X0) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X0),X1))) )),
% 4.25/1.01 inference(superposition,[],[f14,f4])).
% 4.25/1.01 thf(f14,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X1),X0)) | (c8 = X0) | (c1 = X1)) )),
% 4.25/1.01 inference(cnf_transformation,[],[f11])).
% 4.25/1.01 thf(f18300,plain,(
% 4.25/1.01 spl1_8 | ~spl1_36 | ~spl1_145),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f18299])).
% 4.25/1.01 thf(f18299,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_36 | ~spl1_145)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18298,f170])).
% 4.25/1.01 thf(f18298,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_36 | ~spl1_145)),
% 4.25/1.01 inference(backward_demodulation,[],[f3090,f18297])).
% 4.25/1.01 thf(f18297,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c1)) | ~spl1_145),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18288])).
% 4.25/1.01 thf(f18288,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c1)) | ~spl1_145),
% 4.25/1.01 inference(superposition,[],[f79,f3423])).
% 4.25/1.01 thf(f18282,plain,(
% 4.25/1.01 spl1_55 | ~spl1_192),
% 4.25/1.01 inference(avatar_split_clause,[],[f18281,f4305,f939])).
% 4.25/1.01 thf(f18281,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_192),
% 4.25/1.01 inference(forward_demodulation,[],[f18280,f34])).
% 4.25/1.01 thf(f18280,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c3))) | ~spl1_192),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18277])).
% 4.25/1.01 thf(f18277,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c3))) | ~spl1_192),
% 4.25/1.01 inference(superposition,[],[f25,f4307])).
% 4.25/1.01 thf(f4307,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | ~spl1_192),
% 4.25/1.01 inference(avatar_component_clause,[],[f4305])).
% 4.25/1.01 thf(f18241,plain,(
% 4.25/1.01 spl1_8 | spl1_50 | ~spl1_146),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f18240])).
% 4.25/1.01 thf(f18240,plain,(
% 4.25/1.01 $false | (spl1_8 | spl1_50 | ~spl1_146)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18239,f842])).
% 4.25/1.01 thf(f842,plain,(
% 4.25/1.01 (c8 != c2) | spl1_50),
% 4.25/1.01 inference(avatar_component_clause,[],[f841])).
% 4.25/1.01 thf(f841,plain,(
% 4.25/1.01 spl1_50 <=> (c8 = c2)),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_50])])).
% 4.25/1.01 thf(f18239,plain,(
% 4.25/1.01 (c8 = c2) | (spl1_8 | ~spl1_146)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18197,f170])).
% 4.25/1.01 thf(f18197,plain,(
% 4.25/1.01 (c1 = c2) | (c8 = c2) | ~spl1_146),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18196])).
% 4.25/1.01 thf(f18196,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c2) | (c8 = c2) | ~spl1_146),
% 4.25/1.01 inference(superposition,[],[f396,f18104])).
% 4.25/1.01 thf(f18104,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | ~spl1_146),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18103])).
% 4.25/1.01 thf(f18103,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | ~spl1_146),
% 4.25/1.01 inference(superposition,[],[f21,f3427])).
% 4.25/1.01 thf(f3427,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c2)) | ~spl1_146),
% 4.25/1.01 inference(avatar_component_clause,[],[f3425])).
% 4.25/1.01 thf(f18137,plain,(
% 4.25/1.01 spl1_8 | ~spl1_172 | ~spl1_191),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f18136])).
% 4.25/1.01 thf(f18136,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_172 | ~spl1_191)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18135,f170])).
% 4.25/1.01 thf(f18135,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_172 | ~spl1_191)),
% 4.25/1.01 inference(forward_demodulation,[],[f18134,f4180])).
% 4.25/1.01 thf(f18134,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_191),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18129])).
% 4.25/1.01 thf(f18129,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_191),
% 4.25/1.01 inference(superposition,[],[f24,f4303])).
% 4.25/1.01 thf(f18036,plain,(
% 4.25/1.01 spl1_31 | ~spl1_41),
% 4.25/1.01 inference(avatar_split_clause,[],[f18032,f424,f349])).
% 4.25/1.01 thf(f18032,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | ~spl1_41),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f18024])).
% 4.25/1.01 thf(f18024,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | ~spl1_41),
% 4.25/1.01 inference(superposition,[],[f78,f426])).
% 4.25/1.01 thf(f426,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | ~spl1_41),
% 4.25/1.01 inference(avatar_component_clause,[],[f424])).
% 4.25/1.01 thf(f18035,plain,(
% 4.25/1.01 spl1_21 | ~spl1_33 | ~spl1_41),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f18034])).
% 4.25/1.01 thf(f18034,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_33 | ~spl1_41)),
% 4.25/1.01 inference(subsumption_resolution,[],[f18033,f305])).
% 4.25/1.01 thf(f18033,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_33 | ~spl1_41)),
% 4.25/1.01 inference(forward_demodulation,[],[f18032,f361])).
% 4.25/1.01 thf(f361,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c2)) | ~spl1_33),
% 4.25/1.01 inference(avatar_component_clause,[],[f359])).
% 4.25/1.01 thf(f17962,plain,(
% 4.25/1.01 spl1_11 | ~spl1_242),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f17961])).
% 4.25/1.01 thf(f17961,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_242)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17960,f62])).
% 4.25/1.01 thf(f62,plain,(
% 4.25/1.01 (c8 != c4)),
% 4.25/1.01 inference(forward_demodulation,[],[f61,f34])).
% 4.25/1.01 thf(f61,plain,(
% 4.25/1.01 (c8 != vAPP($i,$i,s,c3))),
% 4.25/1.01 inference(forward_demodulation,[],[f60,f33])).
% 4.25/1.01 thf(f60,plain,(
% 4.25/1.01 (c8 != vAPP($i,$i,s,vAPP($i,$i,s,c2)))),
% 4.25/1.01 inference(forward_demodulation,[],[f50,f32])).
% 4.25/1.01 thf(f50,plain,(
% 4.25/1.01 (c8 != vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c1))))),
% 4.25/1.01 inference(superposition,[],[f20,f31])).
% 4.25/1.01 thf(f20,plain,(
% 4.25/1.01 ( ! [X10 : $i] : ((vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,X10)))) != X10)) )),
% 4.25/1.01 inference(cnf_transformation,[],[f12])).
% 4.25/1.01 thf(f17960,plain,(
% 4.25/1.01 (c8 = c4) | (spl1_11 | ~spl1_242)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17918,f184])).
% 4.25/1.01 thf(f17918,plain,(
% 4.25/1.01 (c1 = c4) | (c8 = c4) | ~spl1_242),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f17917])).
% 4.25/1.01 thf(f17917,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c4) | (c8 = c4) | ~spl1_242),
% 4.25/1.01 inference(superposition,[],[f396,f17902])).
% 4.25/1.01 thf(f17902,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | ~spl1_242),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f17901])).
% 4.25/1.01 thf(f17901,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | ~spl1_242),
% 4.25/1.01 inference(superposition,[],[f21,f8325])).
% 4.25/1.01 thf(f8325,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | ~spl1_242),
% 4.25/1.01 inference(avatar_component_clause,[],[f8323])).
% 4.25/1.01 thf(f17851,plain,(
% 4.25/1.01 spl1_8 | ~spl1_53 | ~spl1_243),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f17850])).
% 4.25/1.01 thf(f17850,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_53 | ~spl1_243)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17849,f170])).
% 4.25/1.01 thf(f17849,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_53 | ~spl1_243)),
% 4.25/1.01 inference(backward_demodulation,[],[f11090,f933])).
% 4.25/1.01 thf(f11090,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_243),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11085])).
% 4.25/1.01 thf(f11085,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_243),
% 4.25/1.01 inference(superposition,[],[f24,f8329])).
% 4.25/1.01 thf(f17846,plain,(
% 4.25/1.01 spl1_215 | spl1_217 | spl1_2 | ~spl1_23 | spl1_214 | spl1_216),
% 4.25/1.01 inference(avatar_split_clause,[],[f17845,f6421,f6413,f313,f139,f6425,f6417])).
% 4.25/1.01 thf(f17845,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (spl1_2 | ~spl1_23 | spl1_214 | spl1_216)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17844,f6414])).
% 4.25/1.01 thf(f17844,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (spl1_2 | ~spl1_23 | spl1_216)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17843,f6422])).
% 4.25/1.01 thf(f17843,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (spl1_2 | ~spl1_23)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17766,f141])).
% 4.25/1.01 thf(f17766,plain,(
% 4.25/1.01 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | ~spl1_23),
% 4.25/1.01 inference(superposition,[],[f17168,f132])).
% 4.25/1.01 thf(f17746,plain,(
% 4.25/1.01 spl1_53 | ~spl1_217),
% 4.25/1.01 inference(avatar_split_clause,[],[f17745,f6425,f931])).
% 4.25/1.01 thf(f17745,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_217),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f17738])).
% 4.25/1.01 thf(f17738,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_217),
% 4.25/1.01 inference(superposition,[],[f76,f6427])).
% 4.25/1.01 thf(f6427,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | ~spl1_217),
% 4.25/1.01 inference(avatar_component_clause,[],[f6425])).
% 4.25/1.01 thf(f17724,plain,(
% 4.25/1.01 spl1_155 | spl1_154 | spl1_153 | spl1_21 | spl1_25 | ~spl1_44 | ~spl1_213),
% 4.25/1.01 inference(avatar_split_clause,[],[f17723,f6318,f442,f321,f303,f3716,f3720,f3724])).
% 4.25/1.01 thf(f17723,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (spl1_21 | spl1_25 | ~spl1_44 | ~spl1_213)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17722,f305])).
% 4.25/1.01 thf(f17722,plain,(
% 4.25/1.01 (c3 = c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_44 | ~spl1_213)),
% 4.25/1.01 inference(forward_demodulation,[],[f17721,f6365])).
% 4.25/1.01 thf(f6365,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | ~spl1_44),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f6357])).
% 4.25/1.01 thf(f6357,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | ~spl1_44),
% 4.25/1.01 inference(superposition,[],[f26,f444])).
% 4.25/1.01 thf(f17721,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_213)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17593,f323])).
% 4.25/1.01 thf(f17593,plain,(
% 4.25/1.01 (c2 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | ~spl1_213),
% 4.25/1.01 inference(superposition,[],[f17468,f6304])).
% 4.25/1.01 thf(f17716,plain,(
% 4.25/1.01 spl1_8 | ~spl1_23 | ~spl1_153),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f17715])).
% 4.25/1.01 thf(f17715,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_23 | ~spl1_153)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17714,f170])).
% 4.25/1.01 thf(f17714,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_23 | ~spl1_153)),
% 4.25/1.01 inference(backward_demodulation,[],[f17168,f17713])).
% 4.25/1.01 thf(f17713,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_153),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f17704])).
% 4.25/1.01 thf(f17704,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | ~spl1_153),
% 4.25/1.01 inference(superposition,[],[f26,f3718])).
% 4.25/1.01 thf(f17043,plain,(
% 4.25/1.01 spl1_48 | ~spl1_51),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f17042])).
% 4.25/1.01 thf(f17042,plain,(
% 4.25/1.01 $false | (spl1_48 | ~spl1_51)),
% 4.25/1.01 inference(subsumption_resolution,[],[f17041,f833])).
% 4.25/1.01 thf(f833,plain,(
% 4.25/1.01 (c8 != c1) | spl1_48),
% 4.25/1.01 inference(avatar_component_clause,[],[f832])).
% 4.25/1.01 thf(f832,plain,(
% 4.25/1.01 spl1_48 <=> (c8 = c1)),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_48])])).
% 4.25/1.01 thf(f17041,plain,(
% 4.25/1.01 (c8 = c1) | ~spl1_51),
% 4.25/1.01 inference(backward_demodulation,[],[f31,f17001])).
% 4.25/1.01 thf(f17001,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c8)) | ~spl1_51),
% 4.25/1.01 inference(backward_demodulation,[],[f45,f849])).
% 4.25/1.01 thf(f849,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c5))) | ~spl1_51),
% 4.25/1.01 inference(avatar_component_clause,[],[f847])).
% 4.25/1.01 thf(f847,plain,(
% 4.25/1.01 spl1_51 <=> (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c5)))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_51])])).
% 4.25/1.01 thf(f16998,plain,(
% 4.25/1.01 spl1_25 | ~spl1_39 | ~spl1_40),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f16997])).
% 4.25/1.01 thf(f16997,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_39 | ~spl1_40)),
% 4.25/1.01 inference(subsumption_resolution,[],[f16996,f323])).
% 4.25/1.01 thf(f16996,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_39 | ~spl1_40)),
% 4.25/1.01 inference(forward_demodulation,[],[f16995,f417])).
% 4.25/1.01 thf(f16995,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | ~spl1_40),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f16989])).
% 4.25/1.01 thf(f16989,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | ~spl1_40),
% 4.25/1.01 inference(superposition,[],[f76,f421])).
% 4.25/1.01 thf(f16825,plain,(
% 4.25/1.01 ~spl1_214),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f16824])).
% 4.25/1.01 thf(f16824,plain,(
% 4.25/1.01 $false | ~spl1_214),
% 4.25/1.01 inference(subsumption_resolution,[],[f16823,f16702])).
% 4.25/1.01 thf(f16702,plain,(
% 4.25/1.01 (c5 != vAPP($i,$i,s,c5)) | ~spl1_214),
% 4.25/1.01 inference(backward_demodulation,[],[f53,f16692])).
% 4.25/1.01 thf(f16692,plain,(
% 4.25/1.01 (c8 = c5) | ~spl1_214),
% 4.25/1.01 inference(subsumption_resolution,[],[f16691,f59])).
% 4.25/1.01 thf(f59,plain,(
% 4.25/1.01 (c5 != c1)),
% 4.25/1.01 inference(forward_demodulation,[],[f58,f35])).
% 4.25/1.01 thf(f58,plain,(
% 4.25/1.01 (c1 != vAPP($i,$i,s,c4))),
% 4.25/1.01 inference(forward_demodulation,[],[f57,f34])).
% 4.25/1.01 thf(f57,plain,(
% 4.25/1.01 (c1 != vAPP($i,$i,s,vAPP($i,$i,s,c3)))),
% 4.25/1.01 inference(forward_demodulation,[],[f49,f33])).
% 4.25/1.01 thf(f49,plain,(
% 4.25/1.01 (c1 != vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c2))))),
% 4.25/1.01 inference(superposition,[],[f20,f32])).
% 4.25/1.01 thf(f16691,plain,(
% 4.25/1.01 (c5 = c1) | (c8 = c5) | ~spl1_214),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f16662])).
% 4.25/1.01 thf(f16662,plain,(
% 4.25/1.01 ($true = $false) | (c5 = c1) | (c8 = c5) | ~spl1_214),
% 4.25/1.01 inference(superposition,[],[f16605,f396])).
% 4.25/1.01 thf(f16605,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,c5)),c5)) | ~spl1_214),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f16604])).
% 4.25/1.01 thf(f16604,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,c5)),c5)) | ~spl1_214),
% 4.25/1.01 inference(superposition,[],[f21,f6415])).
% 4.25/1.01 thf(f6415,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c5)) | ~spl1_214),
% 4.25/1.01 inference(avatar_component_clause,[],[f6413])).
% 4.25/1.01 thf(f53,plain,(
% 4.25/1.01 (vAPP($i,$i,s,c8) != c5)),
% 4.25/1.01 inference(superposition,[],[f20,f45])).
% 4.25/1.01 thf(f16823,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,s,c5)) | ~spl1_214),
% 4.25/1.01 inference(forward_demodulation,[],[f16822,f16692])).
% 4.25/1.01 thf(f16822,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c5)) | ~spl1_214),
% 4.25/1.01 inference(subsumption_resolution,[],[f16678,f59])).
% 4.25/1.01 thf(f16678,plain,(
% 4.25/1.01 (c5 = c1) | (c8 = vAPP($i,$i,s,c5)) | ~spl1_214),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f16675])).
% 4.25/1.01 thf(f16675,plain,(
% 4.25/1.01 ($true = $false) | (c5 = c1) | (c8 = vAPP($i,$i,s,c5)) | ~spl1_214),
% 4.25/1.01 inference(superposition,[],[f391,f16605])).
% 4.25/1.01 thf(f16292,plain,(
% 4.25/1.01 spl1_111 | ~spl1_270),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f16291])).
% 4.25/1.01 thf(f16291,plain,(
% 4.25/1.01 $false | (spl1_111 | ~spl1_270)),
% 4.25/1.01 inference(subsumption_resolution,[],[f16290,f16177])).
% 4.25/1.01 thf(f16177,plain,(
% 4.25/1.01 (c5 != vAPP($i,$i,s,c5)) | (spl1_111 | ~spl1_270)),
% 4.25/1.01 inference(backward_demodulation,[],[f53,f16167])).
% 4.25/1.01 thf(f16167,plain,(
% 4.25/1.01 (c8 = c5) | (spl1_111 | ~spl1_270)),
% 4.25/1.01 inference(subsumption_resolution,[],[f16162,f2498])).
% 4.25/1.01 thf(f16162,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c5)) | (c8 = c5) | ~spl1_270),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f16135])).
% 4.25/1.01 thf(f16135,plain,(
% 4.25/1.01 ($true = $false) | (c1 = vAPP($i,$i,s,c5)) | (c8 = c5) | ~spl1_270),
% 4.25/1.01 inference(superposition,[],[f16133,f391])).
% 4.25/1.01 thf(f16133,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c5),vAPP($i,$i,s,c5))) | ~spl1_270),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f16132])).
% 4.25/1.01 thf(f16132,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c5),vAPP($i,$i,s,c5))) | ~spl1_270),
% 4.25/1.01 inference(superposition,[],[f21,f16029])).
% 4.25/1.01 thf(f16029,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | ~spl1_270),
% 4.25/1.01 inference(avatar_component_clause,[],[f16027])).
% 4.25/1.01 thf(f16290,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,s,c5)) | (spl1_111 | ~spl1_270)),
% 4.25/1.01 inference(forward_demodulation,[],[f16289,f16167])).
% 4.25/1.01 thf(f16289,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c5)) | (spl1_111 | ~spl1_270)),
% 4.25/1.01 inference(subsumption_resolution,[],[f16149,f2498])).
% 4.25/1.01 thf(f16149,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c5)) | (c8 = vAPP($i,$i,s,c5)) | ~spl1_270),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f16148])).
% 4.25/1.01 thf(f16148,plain,(
% 4.25/1.01 ($true = $false) | (c1 = vAPP($i,$i,s,c5)) | (c8 = vAPP($i,$i,s,c5)) | ~spl1_270),
% 4.25/1.01 inference(superposition,[],[f396,f16133])).
% 4.25/1.01 thf(f16066,plain,(
% 4.25/1.01 spl1_219 | ~spl1_272),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f16065])).
% 4.25/1.01 thf(f16065,plain,(
% 4.25/1.01 $false | (spl1_219 | ~spl1_272)),
% 4.25/1.01 inference(subsumption_resolution,[],[f16064,f6458])).
% 4.25/1.01 thf(f6458,plain,(
% 4.25/1.01 (c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | spl1_219),
% 4.25/1.01 inference(avatar_component_clause,[],[f6457])).
% 4.25/1.01 thf(f16064,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_272),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f16058])).
% 4.25/1.01 thf(f16058,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_272),
% 4.25/1.01 inference(superposition,[],[f26,f16037])).
% 4.25/1.01 thf(f16037,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | ~spl1_272),
% 4.25/1.01 inference(avatar_component_clause,[],[f16035])).
% 4.25/1.01 thf(f16054,plain,(
% 4.25/1.01 spl1_47 | ~spl1_203 | ~spl1_204),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f16053])).
% 4.25/1.01 thf(f16053,plain,(
% 4.25/1.01 $false | (spl1_47 | ~spl1_203 | ~spl1_204)),
% 4.25/1.01 inference(subsumption_resolution,[],[f16052,f456])).
% 4.25/1.01 thf(f16052,plain,(
% 4.25/1.01 (c3 = c4) | (~spl1_203 | ~spl1_204)),
% 4.25/1.01 inference(backward_demodulation,[],[f5106,f5110])).
% 4.25/1.01 thf(f5106,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_203),
% 4.25/1.01 inference(avatar_component_clause,[],[f5104])).
% 4.25/1.01 thf(f16051,plain,(
% 4.25/1.01 spl1_204 | ~spl1_271),
% 4.25/1.01 inference(avatar_split_clause,[],[f16050,f16031,f5108])).
% 4.25/1.01 thf(f16050,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_271),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f16047])).
% 4.25/1.01 thf(f16047,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_271),
% 4.25/1.01 inference(superposition,[],[f25,f16033])).
% 4.25/1.01 thf(f16033,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | ~spl1_271),
% 4.25/1.01 inference(avatar_component_clause,[],[f16031])).
% 4.25/1.01 thf(f16041,plain,(
% 4.25/1.01 spl1_270 | spl1_271 | spl1_272 | spl1_2 | ~spl1_154 | spl1_227),
% 4.25/1.01 inference(avatar_split_clause,[],[f16040,f7997,f3720,f139,f16035,f16031,f16027])).
% 4.25/1.01 thf(f16040,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (spl1_2 | ~spl1_154 | spl1_227)),
% 4.25/1.01 inference(subsumption_resolution,[],[f16039,f7998])).
% 4.25/1.01 thf(f16039,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (spl1_2 | ~spl1_154)),
% 4.25/1.01 inference(subsumption_resolution,[],[f16018,f141])).
% 4.25/1.01 thf(f16018,plain,(
% 4.25/1.01 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | ~spl1_154),
% 4.25/1.01 inference(superposition,[],[f132,f15989])).
% 4.25/1.01 thf(f15989,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c5))) | ~spl1_154),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15984])).
% 4.25/1.01 thf(f15984,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c5))) | ~spl1_154),
% 4.25/1.01 inference(superposition,[],[f24,f3722])).
% 4.25/1.01 thf(f3722,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),vAPP($i,$i,s,c5))) | ~spl1_154),
% 4.25/1.01 inference(avatar_component_clause,[],[f3720])).
% 4.25/1.01 thf(f16005,plain,(
% 4.25/1.01 spl1_8 | ~spl1_216 | ~spl1_219),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f16004])).
% 4.25/1.01 thf(f16004,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_216 | ~spl1_219)),
% 4.25/1.01 inference(subsumption_resolution,[],[f16003,f170])).
% 4.25/1.01 thf(f16003,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_216 | ~spl1_219)),
% 4.25/1.01 inference(forward_demodulation,[],[f16002,f6459])).
% 4.25/1.01 thf(f16002,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_216),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15997])).
% 4.25/1.01 thf(f15997,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_216),
% 4.25/1.01 inference(superposition,[],[f24,f6423])).
% 4.25/1.01 thf(f15992,plain,(
% 4.25/1.01 spl1_11 | ~spl1_154 | ~spl1_215),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f15991])).
% 4.25/1.01 thf(f15991,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_154 | ~spl1_215)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15990,f184])).
% 4.25/1.01 thf(f15990,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_154 | ~spl1_215)),
% 4.25/1.01 inference(forward_demodulation,[],[f15989,f15600])).
% 4.25/1.01 thf(f15600,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c5))) | ~spl1_215),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15597])).
% 4.25/1.01 thf(f15597,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c5))) | ~spl1_215),
% 4.25/1.01 inference(superposition,[],[f25,f6419])).
% 4.25/1.01 thf(f15917,plain,(
% 4.25/1.01 spl1_51 | spl1_48 | ~spl1_211),
% 4.25/1.01 inference(avatar_split_clause,[],[f15916,f6310,f832,f847])).
% 4.25/1.01 thf(f15916,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c5))) | (spl1_48 | ~spl1_211)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15900,f833])).
% 4.25/1.01 thf(f15900,plain,(
% 4.25/1.01 (c8 = c1) | (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c5))) | ~spl1_211),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15898])).
% 4.25/1.01 thf(f15898,plain,(
% 4.25/1.01 ($true = $false) | (c8 = c1) | (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c5))) | ~spl1_211),
% 4.25/1.01 inference(superposition,[],[f391,f15865])).
% 4.25/1.01 thf(f15865,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | ~spl1_211),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15864])).
% 4.25/1.01 thf(f15864,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | ~spl1_211),
% 4.25/1.01 inference(superposition,[],[f21,f6312])).
% 4.25/1.01 thf(f6312,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c8)) | ~spl1_211),
% 4.25/1.01 inference(avatar_component_clause,[],[f6310])).
% 4.25/1.01 thf(f15842,plain,(
% 4.25/1.01 spl1_2 | ~spl1_212 | ~spl1_264),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f15841])).
% 4.25/1.01 thf(f15841,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_212 | ~spl1_264)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15840,f141])).
% 4.25/1.01 thf(f15840,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_212 | ~spl1_264)),
% 4.25/1.01 inference(forward_demodulation,[],[f15839,f11641])).
% 4.25/1.01 thf(f11641,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c8)) | ~spl1_264),
% 4.25/1.01 inference(avatar_component_clause,[],[f11639])).
% 4.25/1.01 thf(f15839,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c8)) | ~spl1_212),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15834])).
% 4.25/1.01 thf(f15834,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c8)) | ~spl1_212),
% 4.25/1.01 inference(superposition,[],[f24,f6316])).
% 4.25/1.01 thf(f15338,plain,(
% 4.25/1.01 spl1_21 | ~spl1_83 | ~spl1_96),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f15337])).
% 4.25/1.01 thf(f15337,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_83 | ~spl1_96)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15336,f305])).
% 4.25/1.01 thf(f15336,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_83 | ~spl1_96)),
% 4.25/1.01 inference(forward_demodulation,[],[f15335,f2195])).
% 4.25/1.01 thf(f2195,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_96),
% 4.25/1.01 inference(avatar_component_clause,[],[f2193])).
% 4.25/1.01 thf(f2193,plain,(
% 4.25/1.01 spl1_96 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_96])])).
% 4.25/1.01 thf(f15335,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_83),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15328])).
% 4.25/1.01 thf(f15328,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_83),
% 4.25/1.01 inference(superposition,[],[f78,f1827])).
% 4.25/1.01 thf(f1827,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | ~spl1_83),
% 4.25/1.01 inference(avatar_component_clause,[],[f1825])).
% 4.25/1.01 thf(f15273,plain,(
% 4.25/1.01 spl1_47 | ~spl1_228 | ~spl1_229),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f15272])).
% 4.25/1.01 thf(f15272,plain,(
% 4.25/1.01 $false | (spl1_47 | ~spl1_228 | ~spl1_229)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15271,f456])).
% 4.25/1.01 thf(f15271,plain,(
% 4.25/1.01 (c3 = c4) | (~spl1_228 | ~spl1_229)),
% 4.25/1.01 inference(backward_demodulation,[],[f8003,f8007])).
% 4.25/1.01 thf(f8007,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_229),
% 4.25/1.01 inference(avatar_component_clause,[],[f8005])).
% 4.25/1.01 thf(f15270,plain,(
% 4.25/1.01 spl1_11 | ~spl1_228 | ~spl1_237),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f15269])).
% 4.25/1.01 thf(f15269,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_228 | ~spl1_237)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15267,f184])).
% 4.25/1.01 thf(f15267,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_228 | ~spl1_237)),
% 4.25/1.01 inference(backward_demodulation,[],[f15013,f8112])).
% 4.25/1.01 thf(f8112,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | ~spl1_237),
% 4.25/1.01 inference(avatar_component_clause,[],[f8110])).
% 4.25/1.01 thf(f15013,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | ~spl1_228),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15008])).
% 4.25/1.01 thf(f15008,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | ~spl1_228),
% 4.25/1.01 inference(superposition,[],[f71,f8003])).
% 4.25/1.01 thf(f15244,plain,(
% 4.25/1.01 spl1_84 | spl1_83 | spl1_47 | spl1_86 | ~spl1_232 | spl1_249),
% 4.25/1.01 inference(avatar_split_clause,[],[f15243,f9917,f8080,f1837,f454,f1825,f1829])).
% 4.25/1.01 thf(f15243,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (spl1_47 | spl1_86 | ~spl1_232 | spl1_249)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15242,f456])).
% 4.25/1.01 thf(f15242,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (spl1_86 | ~spl1_232 | spl1_249)),
% 4.25/1.01 inference(forward_demodulation,[],[f15241,f8082])).
% 4.25/1.01 thf(f8082,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | ~spl1_232),
% 4.25/1.01 inference(avatar_component_clause,[],[f8080])).
% 4.25/1.01 thf(f15241,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (spl1_86 | spl1_249)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15240,f1838])).
% 4.25/1.01 thf(f15240,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | spl1_249),
% 4.25/1.01 inference(subsumption_resolution,[],[f8184,f9918])).
% 4.25/1.01 thf(f9918,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | spl1_249),
% 4.25/1.01 inference(avatar_component_clause,[],[f9917])).
% 4.25/1.01 thf(f15239,plain,(
% 4.25/1.01 spl1_8 | ~spl1_84 | ~spl1_102),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f15238])).
% 4.25/1.01 thf(f15238,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_84 | ~spl1_102)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15237,f170])).
% 4.25/1.01 thf(f15237,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_84 | ~spl1_102)),
% 4.25/1.01 inference(backward_demodulation,[],[f15226,f2222])).
% 4.25/1.01 thf(f2222,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | ~spl1_102),
% 4.25/1.01 inference(avatar_component_clause,[],[f2220])).
% 4.25/1.01 thf(f2220,plain,(
% 4.25/1.01 spl1_102 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_102])])).
% 4.25/1.01 thf(f15226,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | ~spl1_84),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15221])).
% 4.25/1.01 thf(f15221,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | ~spl1_84),
% 4.25/1.01 inference(superposition,[],[f73,f1831])).
% 4.25/1.01 thf(f1831,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | ~spl1_84),
% 4.25/1.01 inference(avatar_component_clause,[],[f1829])).
% 4.25/1.01 thf(f73,plain,(
% 4.25/1.01 ( ! [X0 : $i] : ((c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0)) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),X0))) )),
% 4.25/1.01 inference(superposition,[],[f24,f32])).
% 4.25/1.01 thf(f15229,plain,(
% 4.25/1.01 spl1_11 | ~spl1_84 | ~spl1_98),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f15228])).
% 4.25/1.01 thf(f15228,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_84 | ~spl1_98)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15227,f184])).
% 4.25/1.01 thf(f15227,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_84 | ~spl1_98)),
% 4.25/1.01 inference(forward_demodulation,[],[f15226,f2204])).
% 4.25/1.01 thf(f2204,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | ~spl1_98),
% 4.25/1.01 inference(avatar_component_clause,[],[f2202])).
% 4.25/1.01 thf(f2202,plain,(
% 4.25/1.01 spl1_98 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_98])])).
% 4.25/1.01 thf(f15161,plain,(
% 4.25/1.01 spl1_175 | spl1_25 | spl1_113 | ~spl1_166 | spl1_177 | spl1_210),
% 4.25/1.01 inference(avatar_split_clause,[],[f15160,f5910,f4200,f4096,f2587,f321,f4192])).
% 4.25/1.01 thf(f15160,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (spl1_25 | spl1_113 | ~spl1_166 | spl1_177 | spl1_210)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15159,f323])).
% 4.25/1.01 thf(f15159,plain,(
% 4.25/1.01 (c2 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (spl1_113 | ~spl1_166 | spl1_177 | spl1_210)),
% 4.25/1.01 inference(forward_demodulation,[],[f15158,f4098])).
% 4.25/1.01 thf(f15158,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (spl1_113 | spl1_177 | spl1_210)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14149,f2588])).
% 4.25/1.01 thf(f14149,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (spl1_177 | spl1_210)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14148,f4201])).
% 4.25/1.01 thf(f14148,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | spl1_210),
% 4.25/1.01 inference(subsumption_resolution,[],[f7949,f5911])).
% 4.25/1.01 thf(f5911,plain,(
% 4.25/1.01 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | spl1_210),
% 4.25/1.01 inference(avatar_component_clause,[],[f5910])).
% 4.25/1.01 thf(f15129,plain,(
% 4.25/1.01 spl1_25 | ~spl1_189 | ~spl1_232),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f15128])).
% 4.25/1.01 thf(f15128,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_189 | ~spl1_232)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15127,f323])).
% 4.25/1.01 thf(f15127,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_189 | ~spl1_232)),
% 4.25/1.01 inference(forward_demodulation,[],[f4293,f8082])).
% 4.25/1.01 thf(f4293,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | ~spl1_189),
% 4.25/1.01 inference(avatar_component_clause,[],[f4291])).
% 4.25/1.01 thf(f4291,plain,(
% 4.25/1.01 spl1_189 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_189])])).
% 4.25/1.01 thf(f15124,plain,(
% 4.25/1.01 spl1_2 | ~spl1_250 | ~spl1_255),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f15123])).
% 4.25/1.01 thf(f15123,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_250 | ~spl1_255)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15122,f141])).
% 4.25/1.01 thf(f15122,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_250 | ~spl1_255)),
% 4.25/1.01 inference(backward_demodulation,[],[f15048,f10858])).
% 4.25/1.01 thf(f10858,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_250),
% 4.25/1.01 inference(avatar_component_clause,[],[f10856])).
% 4.25/1.01 thf(f15048,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_255),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15043])).
% 4.25/1.01 thf(f15043,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_255),
% 4.25/1.01 inference(superposition,[],[f72,f11142])).
% 4.25/1.01 thf(f72,plain,(
% 4.25/1.01 ( ! [X0 : $i] : ((c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),X0)) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),X0))) )),
% 4.25/1.01 inference(superposition,[],[f24,f33])).
% 4.25/1.01 thf(f15088,plain,(
% 4.25/1.01 spl1_114 | spl1_115 | spl1_2 | spl1_164 | ~spl1_216 | spl1_229),
% 4.25/1.01 inference(avatar_split_clause,[],[f15087,f8005,f6421,f4086,f139,f2680,f2595])).
% 4.25/1.01 thf(f15087,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_2 | spl1_164 | ~spl1_216 | spl1_229)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15086,f141])).
% 4.25/1.01 thf(f15086,plain,(
% 4.25/1.01 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_164 | ~spl1_216 | spl1_229)),
% 4.25/1.01 inference(forward_demodulation,[],[f15085,f6531])).
% 4.25/1.01 thf(f6531,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_216),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f6526])).
% 4.25/1.01 thf(f6526,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | ~spl1_216),
% 4.25/1.01 inference(superposition,[],[f24,f6423])).
% 4.25/1.01 thf(f15085,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (spl1_164 | spl1_229)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14853,f4087])).
% 4.25/1.01 thf(f14853,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | spl1_229),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14849])).
% 4.25/1.01 thf(f14849,plain,(
% 4.25/1.01 (c4 != c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | spl1_229),
% 4.25/1.01 inference(superposition,[],[f8006,f4781])).
% 4.25/1.01 thf(f15084,plain,(
% 4.25/1.01 spl1_114 | spl1_115 | spl1_2 | spl1_47 | spl1_164 | ~spl1_216 | ~spl1_228),
% 4.25/1.01 inference(avatar_split_clause,[],[f15083,f8001,f6421,f4086,f454,f139,f2680,f2595])).
% 4.25/1.01 thf(f15083,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_2 | spl1_47 | spl1_164 | ~spl1_216 | ~spl1_228)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15082,f141])).
% 4.25/1.01 thf(f15082,plain,(
% 4.25/1.01 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_47 | spl1_164 | ~spl1_216 | ~spl1_228)),
% 4.25/1.01 inference(forward_demodulation,[],[f15081,f6531])).
% 4.25/1.01 thf(f15081,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (spl1_47 | spl1_164 | ~spl1_228)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15080,f4087])).
% 4.25/1.01 thf(f15080,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_47 | ~spl1_228)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14999,f456])).
% 4.25/1.01 thf(f14999,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | ~spl1_228),
% 4.25/1.01 inference(superposition,[],[f8003,f4781])).
% 4.25/1.01 thf(f15079,plain,(
% 4.25/1.01 spl1_114 | spl1_115 | spl1_2 | spl1_47 | spl1_164 | ~spl1_216 | ~spl1_228),
% 4.25/1.01 inference(avatar_split_clause,[],[f15078,f8001,f6421,f4086,f454,f139,f2680,f2595])).
% 4.25/1.01 thf(f15078,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_2 | spl1_47 | spl1_164 | ~spl1_216 | ~spl1_228)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15077,f141])).
% 4.25/1.01 thf(f15077,plain,(
% 4.25/1.01 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_47 | spl1_164 | ~spl1_216 | ~spl1_228)),
% 4.25/1.01 inference(forward_demodulation,[],[f15076,f6531])).
% 4.25/1.01 thf(f15076,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (spl1_47 | spl1_164 | ~spl1_228)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15075,f4087])).
% 4.25/1.01 thf(f15075,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_47 | ~spl1_228)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15004,f456])).
% 4.25/1.01 thf(f15004,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | ~spl1_228),
% 4.25/1.01 inference(superposition,[],[f4781,f8003])).
% 4.25/1.01 thf(f15070,plain,(
% 4.25/1.01 spl1_21 | ~spl1_228 | ~spl1_260),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f15069])).
% 4.25/1.01 thf(f15069,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_228 | ~spl1_260)),
% 4.25/1.01 inference(subsumption_resolution,[],[f15068,f305])).
% 4.25/1.01 thf(f15068,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_228 | ~spl1_260)),
% 4.25/1.01 inference(forward_demodulation,[],[f15067,f8003])).
% 4.25/1.01 thf(f15067,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_260),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f15059])).
% 4.25/1.01 thf(f15059,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_260),
% 4.25/1.01 inference(superposition,[],[f26,f11282])).
% 4.25/1.01 thf(f14984,plain,(
% 4.25/1.01 spl1_11 | ~spl1_226),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f14983])).
% 4.25/1.01 thf(f14983,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_226)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14982,f62])).
% 4.25/1.01 thf(f14982,plain,(
% 4.25/1.01 (c8 = c4) | (spl1_11 | ~spl1_226)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14946,f184])).
% 4.25/1.01 thf(f14946,plain,(
% 4.25/1.01 (c1 = c4) | (c8 = c4) | ~spl1_226),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14939])).
% 4.25/1.01 thf(f14939,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c4) | (c8 = c4) | ~spl1_226),
% 4.25/1.01 inference(superposition,[],[f250,f14912])).
% 4.25/1.01 thf(f14912,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c4),vAPP($i,$i,s,c5))) | ~spl1_226),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14911])).
% 4.25/1.01 thf(f14911,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c4),vAPP($i,$i,s,c5))) | ~spl1_226),
% 4.25/1.01 inference(superposition,[],[f21,f7995])).
% 4.25/1.01 thf(f7995,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_226),
% 4.25/1.01 inference(avatar_component_clause,[],[f7993])).
% 4.25/1.01 thf(f250,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X0),X1)) | (c1 = X0) | (c8 = X0)) )),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f249])).
% 4.25/1.01 thf(f249,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (c8 = X0) | (c1 = X0) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X0),X1))) )),
% 4.25/1.01 inference(superposition,[],[f13,f4])).
% 4.25/1.01 thf(f13,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X1),X0)) | (c8 = X1) | (c1 = X1)) )),
% 4.25/1.01 inference(cnf_transformation,[],[f11])).
% 4.25/1.01 thf(f14721,plain,(
% 4.25/1.01 spl1_250 | spl1_126 | spl1_47 | spl1_149 | spl1_151 | ~spl1_256),
% 4.25/1.01 inference(avatar_split_clause,[],[f14720,f11144,f3649,f3641,f454,f3233,f10856])).
% 4.25/1.01 thf(f14720,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_47 | spl1_149 | spl1_151 | ~spl1_256)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14719,f456])).
% 4.25/1.01 thf(f14719,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_149 | spl1_151 | ~spl1_256)),
% 4.25/1.01 inference(forward_demodulation,[],[f13210,f11146])).
% 4.25/1.01 thf(f13210,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_149 | spl1_151)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12429,f3650])).
% 4.25/1.01 thf(f12429,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | spl1_149),
% 4.25/1.01 inference(subsumption_resolution,[],[f9972,f3642])).
% 4.25/1.01 thf(f14706,plain,(
% 4.25/1.01 spl1_8 | ~spl1_94 | ~spl1_250),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f14705])).
% 4.25/1.01 thf(f14705,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_94 | ~spl1_250)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14704,f170])).
% 4.25/1.01 thf(f14704,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_94 | ~spl1_250)),
% 4.25/1.01 inference(forward_demodulation,[],[f14703,f2183])).
% 4.25/1.01 thf(f14703,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_250),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14698])).
% 4.25/1.01 thf(f14698,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_250),
% 4.25/1.01 inference(superposition,[],[f73,f10858])).
% 4.25/1.01 thf(f14478,plain,(
% 4.25/1.01 spl1_83 | spl1_25 | spl1_84 | spl1_86 | ~spl1_180 | spl1_188),
% 4.25/1.01 inference(avatar_split_clause,[],[f14477,f4287,f4214,f1837,f1829,f321,f1825])).
% 4.25/1.01 thf(f4214,plain,(
% 4.25/1.01 spl1_180 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_180])])).
% 4.25/1.01 thf(f14477,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (spl1_25 | spl1_84 | spl1_86 | ~spl1_180 | spl1_188)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14476,f323])).
% 4.25/1.01 thf(f14476,plain,(
% 4.25/1.01 (c2 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (spl1_84 | spl1_86 | ~spl1_180 | spl1_188)),
% 4.25/1.01 inference(forward_demodulation,[],[f14475,f4216])).
% 4.25/1.01 thf(f4216,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_180),
% 4.25/1.01 inference(avatar_component_clause,[],[f4214])).
% 4.25/1.01 thf(f14475,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (spl1_84 | spl1_86 | spl1_188)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14474,f1838])).
% 4.25/1.01 thf(f14474,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (spl1_84 | spl1_188)),
% 4.25/1.01 inference(subsumption_resolution,[],[f9913,f4288])).
% 4.25/1.01 thf(f9913,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | spl1_84),
% 4.25/1.01 inference(subsumption_resolution,[],[f8184,f1830])).
% 4.25/1.01 thf(f14469,plain,(
% 4.25/1.01 spl1_118 | spl1_241 | spl1_47 | spl1_104 | spl1_240 | ~spl1_252),
% 4.25/1.01 inference(avatar_split_clause,[],[f14468,f10951,f8218,f2230,f454,f8222,f2730])).
% 4.25/1.01 thf(f8222,plain,(
% 4.25/1.01 spl1_241 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_241])])).
% 4.25/1.01 thf(f2230,plain,(
% 4.25/1.01 spl1_104 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_104])])).
% 4.25/1.01 thf(f8218,plain,(
% 4.25/1.01 spl1_240 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_240])])).
% 4.25/1.01 thf(f14468,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (spl1_47 | spl1_104 | spl1_240 | ~spl1_252)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13977,f8219])).
% 4.25/1.01 thf(f8219,plain,(
% 4.25/1.01 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | spl1_240),
% 4.25/1.01 inference(avatar_component_clause,[],[f8218])).
% 4.25/1.01 thf(f13977,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (spl1_47 | spl1_104 | ~spl1_252)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13961,f2231])).
% 4.25/1.01 thf(f2231,plain,(
% 4.25/1.01 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | spl1_104),
% 4.25/1.01 inference(avatar_component_clause,[],[f2230])).
% 4.25/1.01 thf(f13961,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (spl1_47 | ~spl1_252)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13946,f456])).
% 4.25/1.01 thf(f13946,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | ~spl1_252),
% 4.25/1.01 inference(superposition,[],[f6212,f10953])).
% 4.25/1.01 thf(f14465,plain,(
% 4.25/1.01 spl1_8 | ~spl1_83 | ~spl1_267),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f14464])).
% 4.25/1.01 thf(f14464,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_83 | ~spl1_267)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14463,f170])).
% 4.25/1.01 thf(f14463,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_83 | ~spl1_267)),
% 4.25/1.01 inference(forward_demodulation,[],[f14462,f14355])).
% 4.25/1.01 thf(f14355,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_83),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14348])).
% 4.25/1.01 thf(f14348,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_83),
% 4.25/1.01 inference(superposition,[],[f78,f1827])).
% 4.25/1.01 thf(f14462,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_267),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14457])).
% 4.25/1.01 thf(f14457,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_267),
% 4.25/1.01 inference(superposition,[],[f72,f13334])).
% 4.25/1.01 thf(f13334,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | ~spl1_267),
% 4.25/1.01 inference(avatar_component_clause,[],[f13332])).
% 4.25/1.01 thf(f14341,plain,(
% 4.25/1.01 spl1_188 | spl1_83 | spl1_84 | spl1_85 | spl1_86),
% 4.25/1.01 inference(avatar_split_clause,[],[f14340,f1837,f1833,f1829,f1825,f4287])).
% 4.25/1.01 thf(f1833,plain,(
% 4.25/1.01 spl1_85 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_85])])).
% 4.25/1.01 thf(f14340,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (spl1_84 | spl1_85 | spl1_86)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14339,f1838])).
% 4.25/1.01 thf(f14339,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (spl1_84 | spl1_85)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13997,f1830])).
% 4.25/1.01 thf(f13997,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | spl1_85),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13995])).
% 4.25/1.01 thf(f13995,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | spl1_85),
% 4.25/1.01 inference(superposition,[],[f1834,f471])).
% 4.25/1.01 thf(f1834,plain,(
% 4.25/1.01 (c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | spl1_85),
% 4.25/1.01 inference(avatar_component_clause,[],[f1833])).
% 4.25/1.01 thf(f14336,plain,(
% 4.25/1.01 spl1_174 | spl1_25 | spl1_119 | ~spl1_168 | spl1_179 | spl1_230),
% 4.25/1.01 inference(avatar_split_clause,[],[f14335,f8070,f4208,f4104,f2739,f321,f4186])).
% 4.25/1.01 thf(f4104,plain,(
% 4.25/1.01 spl1_168 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_168])])).
% 4.25/1.01 thf(f14335,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (spl1_25 | spl1_119 | ~spl1_168 | spl1_179 | spl1_230)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14322,f2740])).
% 4.25/1.01 thf(f14322,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (spl1_25 | ~spl1_168 | spl1_179 | spl1_230)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14321,f323])).
% 4.25/1.01 thf(f14321,plain,(
% 4.25/1.01 (c2 = c4) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (~spl1_168 | spl1_179 | spl1_230)),
% 4.25/1.01 inference(forward_demodulation,[],[f14320,f4106])).
% 4.25/1.01 thf(f4106,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_168),
% 4.25/1.01 inference(avatar_component_clause,[],[f4104])).
% 4.25/1.01 thf(f14320,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (spl1_179 | spl1_230)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14319,f4209])).
% 4.25/1.01 thf(f14319,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | spl1_230),
% 4.25/1.01 inference(subsumption_resolution,[],[f8047,f8071])).
% 4.25/1.01 thf(f14329,plain,(
% 4.25/1.01 spl1_25 | ~spl1_168 | ~spl1_231),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f14328])).
% 4.25/1.01 thf(f14328,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_168 | ~spl1_231)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14326,f323])).
% 4.25/1.01 thf(f14326,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_168 | ~spl1_231)),
% 4.25/1.01 inference(backward_demodulation,[],[f4106,f8076])).
% 4.25/1.01 thf(f14325,plain,(
% 4.25/1.01 spl1_119 | spl1_25 | spl1_47 | ~spl1_165 | ~spl1_168 | spl1_179 | spl1_230),
% 4.25/1.01 inference(avatar_split_clause,[],[f14324,f8070,f4208,f4104,f4092,f454,f321,f2739])).
% 4.25/1.01 thf(f14324,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (spl1_25 | spl1_47 | ~spl1_165 | ~spl1_168 | spl1_179 | spl1_230)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14323,f456])).
% 4.25/1.01 thf(f14323,plain,(
% 4.25/1.01 (c3 = c4) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (spl1_25 | ~spl1_165 | ~spl1_168 | spl1_179 | spl1_230)),
% 4.25/1.01 inference(forward_demodulation,[],[f14322,f4094])).
% 4.25/1.01 thf(f14318,plain,(
% 4.25/1.01 spl1_8 | ~spl1_119 | ~spl1_180),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f14317])).
% 4.25/1.01 thf(f14317,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_119 | ~spl1_180)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14316,f170])).
% 4.25/1.01 thf(f14316,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_119 | ~spl1_180)),
% 4.25/1.01 inference(backward_demodulation,[],[f14189,f4216])).
% 4.25/1.01 thf(f14189,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_119),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14184])).
% 4.25/1.01 thf(f14184,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_119),
% 4.25/1.01 inference(superposition,[],[f72,f2741])).
% 4.25/1.01 thf(f2741,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | ~spl1_119),
% 4.25/1.01 inference(avatar_component_clause,[],[f2739])).
% 4.25/1.01 thf(f14315,plain,(
% 4.25/1.01 spl1_180 | ~spl1_241),
% 4.25/1.01 inference(avatar_split_clause,[],[f14314,f8222,f4214])).
% 4.25/1.01 thf(f14314,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_241),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14307])).
% 4.25/1.01 thf(f14307,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_241),
% 4.25/1.01 inference(superposition,[],[f76,f8224])).
% 4.25/1.01 thf(f8224,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | ~spl1_241),
% 4.25/1.01 inference(avatar_component_clause,[],[f8222])).
% 4.25/1.01 thf(f14174,plain,(
% 4.25/1.01 spl1_2 | ~spl1_119 | ~spl1_174),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f14173])).
% 4.25/1.01 thf(f14173,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_119 | ~spl1_174)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14171,f141])).
% 4.25/1.01 thf(f14171,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_119 | ~spl1_174)),
% 4.25/1.01 inference(backward_demodulation,[],[f13433,f2741])).
% 4.25/1.01 thf(f13433,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | ~spl1_174),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13428])).
% 4.25/1.01 thf(f13428,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | ~spl1_174),
% 4.25/1.01 inference(superposition,[],[f71,f4188])).
% 4.25/1.01 thf(f14170,plain,(
% 4.25/1.01 spl1_47 | ~spl1_165 | ~spl1_174),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f14169])).
% 4.25/1.01 thf(f14169,plain,(
% 4.25/1.01 $false | (spl1_47 | ~spl1_165 | ~spl1_174)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14168,f456])).
% 4.25/1.01 thf(f14168,plain,(
% 4.25/1.01 (c3 = c4) | (~spl1_165 | ~spl1_174)),
% 4.25/1.01 inference(backward_demodulation,[],[f4188,f4094])).
% 4.25/1.01 thf(f14152,plain,(
% 4.25/1.01 spl1_113 | spl1_175 | spl1_47 | ~spl1_174 | spl1_177 | spl1_210),
% 4.25/1.01 inference(avatar_split_clause,[],[f14151,f5910,f4200,f4186,f454,f4192,f2587])).
% 4.25/1.01 thf(f14151,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (spl1_47 | ~spl1_174 | spl1_177 | spl1_210)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14150,f456])).
% 4.25/1.01 thf(f14150,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | (~spl1_174 | spl1_177 | spl1_210)),
% 4.25/1.01 inference(forward_demodulation,[],[f14149,f4188])).
% 4.25/1.01 thf(f14082,plain,(
% 4.25/1.01 spl1_25 | ~spl1_185 | ~spl1_186),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f14081])).
% 4.25/1.01 thf(f14081,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_185 | ~spl1_186)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14079,f323])).
% 4.25/1.01 thf(f14079,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_185 | ~spl1_186)),
% 4.25/1.01 inference(backward_demodulation,[],[f4281,f4277])).
% 4.25/1.01 thf(f14078,plain,(
% 4.25/1.01 spl1_8 | ~spl1_225 | ~spl1_268),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f14077])).
% 4.25/1.01 thf(f14077,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_225 | ~spl1_268)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14076,f170])).
% 4.25/1.01 thf(f14076,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_225 | ~spl1_268)),
% 4.25/1.01 inference(backward_demodulation,[],[f13842,f14075])).
% 4.25/1.01 thf(f14075,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | ~spl1_268),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14067])).
% 4.25/1.01 thf(f14067,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | ~spl1_268),
% 4.25/1.01 inference(superposition,[],[f79,f13340])).
% 4.25/1.01 thf(f13340,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | ~spl1_268),
% 4.25/1.01 inference(avatar_component_clause,[],[f13338])).
% 4.25/1.01 thf(f13842,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | ~spl1_225),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13837])).
% 4.25/1.01 thf(f13837,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | ~spl1_225),
% 4.25/1.01 inference(superposition,[],[f71,f7989])).
% 4.25/1.01 thf(f7989,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | ~spl1_225),
% 4.25/1.01 inference(avatar_component_clause,[],[f7987])).
% 4.25/1.01 thf(f14061,plain,(
% 4.25/1.01 spl1_267 | spl1_268 | spl1_222 | spl1_232 | spl1_269),
% 4.25/1.01 inference(avatar_split_clause,[],[f14060,f13344,f8080,f6576,f13338,f13332])).
% 4.25/1.01 thf(f6576,plain,(
% 4.25/1.01 spl1_222 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_222])])).
% 4.25/1.01 thf(f14060,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (spl1_222 | spl1_232 | spl1_269)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14059,f6577])).
% 4.25/1.01 thf(f6577,plain,(
% 4.25/1.01 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | spl1_222),
% 4.25/1.01 inference(avatar_component_clause,[],[f6576])).
% 4.25/1.01 thf(f14059,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (spl1_232 | spl1_269)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13681,f8081])).
% 4.25/1.01 thf(f8081,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | spl1_232),
% 4.25/1.01 inference(avatar_component_clause,[],[f8080])).
% 4.25/1.01 thf(f14058,plain,(
% 4.25/1.01 spl1_11 | ~spl1_239 | ~spl1_267),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f14057])).
% 4.25/1.01 thf(f14057,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_239 | ~spl1_267)),
% 4.25/1.01 inference(subsumption_resolution,[],[f14056,f184])).
% 4.25/1.01 thf(f14056,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_239 | ~spl1_267)),
% 4.25/1.01 inference(forward_demodulation,[],[f14055,f8212])).
% 4.25/1.01 thf(f8212,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_239),
% 4.25/1.01 inference(avatar_component_clause,[],[f8210])).
% 4.25/1.01 thf(f8210,plain,(
% 4.25/1.01 spl1_239 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_239])])).
% 4.25/1.01 thf(f14055,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_267),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14050])).
% 4.25/1.01 thf(f14050,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_267),
% 4.25/1.01 inference(superposition,[],[f72,f13334])).
% 4.25/1.01 thf(f14013,plain,(
% 4.25/1.01 spl1_186 | ~spl1_175),
% 4.25/1.01 inference(avatar_split_clause,[],[f14012,f4192,f4279])).
% 4.25/1.01 thf(f14012,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_175),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f14004])).
% 4.25/1.01 thf(f14004,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_175),
% 4.25/1.01 inference(superposition,[],[f78,f4194])).
% 4.25/1.01 thf(f4194,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | ~spl1_175),
% 4.25/1.01 inference(avatar_component_clause,[],[f4192])).
% 4.25/1.01 thf(f13991,plain,(
% 4.25/1.01 spl1_47 | ~spl1_188 | ~spl1_232),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13990])).
% 4.25/1.01 thf(f13990,plain,(
% 4.25/1.01 $false | (spl1_47 | ~spl1_188 | ~spl1_232)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13989,f456])).
% 4.25/1.01 thf(f13989,plain,(
% 4.25/1.01 (c3 = c4) | (~spl1_188 | ~spl1_232)),
% 4.25/1.01 inference(forward_demodulation,[],[f4289,f8082])).
% 4.25/1.01 thf(f13738,plain,(
% 4.25/1.01 spl1_8 | ~spl1_114 | ~spl1_168),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13737])).
% 4.25/1.01 thf(f13737,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_114 | ~spl1_168)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13736,f170])).
% 4.25/1.01 thf(f13736,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_114 | ~spl1_168)),
% 4.25/1.01 inference(backward_demodulation,[],[f13466,f4106])).
% 4.25/1.01 thf(f13466,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_114),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13461])).
% 4.25/1.01 thf(f13461,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_114),
% 4.25/1.01 inference(superposition,[],[f71,f2597])).
% 4.25/1.01 thf(f13724,plain,(
% 4.25/1.01 spl1_236 | spl1_237 | spl1_21 | spl1_235 | spl1_256 | ~spl1_266),
% 4.25/1.01 inference(avatar_split_clause,[],[f13723,f13184,f11144,f8102,f303,f8110,f8106])).
% 4.25/1.01 thf(f13723,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_21 | spl1_235 | spl1_256 | ~spl1_266)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13722,f305])).
% 4.25/1.01 thf(f13722,plain,(
% 4.25/1.01 (c3 = c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_235 | spl1_256 | ~spl1_266)),
% 4.25/1.01 inference(forward_demodulation,[],[f13721,f13186])).
% 4.25/1.01 thf(f13721,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (spl1_235 | spl1_256)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12685,f8103])).
% 4.25/1.01 thf(f12685,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | spl1_256),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12681])).
% 4.25/1.01 thf(f12681,plain,(
% 4.25/1.01 (c4 != c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | spl1_256),
% 4.25/1.01 inference(superposition,[],[f11145,f4838])).
% 4.25/1.01 thf(f13720,plain,(
% 4.25/1.01 spl1_222 | spl1_267 | spl1_11 | ~spl1_113 | spl1_268 | spl1_269),
% 4.25/1.01 inference(avatar_split_clause,[],[f13719,f13344,f13338,f2587,f182,f13332,f6576])).
% 4.25/1.01 thf(f13719,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (spl1_11 | ~spl1_113 | spl1_268 | spl1_269)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13683,f13339])).
% 4.25/1.01 thf(f13683,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (spl1_11 | ~spl1_113 | spl1_269)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13682,f184])).
% 4.25/1.01 thf(f13682,plain,(
% 4.25/1.01 (c1 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | (~spl1_113 | spl1_269)),
% 4.25/1.01 inference(forward_demodulation,[],[f13681,f13288])).
% 4.25/1.01 thf(f13288,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | ~spl1_113),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13283])).
% 4.25/1.01 thf(f13283,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | ~spl1_113),
% 4.25/1.01 inference(superposition,[],[f71,f2589])).
% 4.25/1.01 thf(f13716,plain,(
% 4.25/1.01 spl1_2 | ~spl1_96 | ~spl1_267),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13715])).
% 4.25/1.01 thf(f13715,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_96 | ~spl1_267)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13714,f141])).
% 4.25/1.01 thf(f13714,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_96 | ~spl1_267)),
% 4.25/1.01 inference(forward_demodulation,[],[f13713,f2195])).
% 4.25/1.01 thf(f13713,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_267),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13708])).
% 4.25/1.01 thf(f13708,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_267),
% 4.25/1.01 inference(superposition,[],[f72,f13334])).
% 4.25/1.01 thf(f13691,plain,(
% 4.25/1.01 spl1_11 | ~spl1_113 | ~spl1_232),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13690])).
% 4.25/1.01 thf(f13690,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_113 | ~spl1_232)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13688,f184])).
% 4.25/1.01 thf(f13688,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_113 | ~spl1_232)),
% 4.25/1.01 inference(backward_demodulation,[],[f13288,f8082])).
% 4.25/1.01 thf(f13686,plain,(
% 4.25/1.01 spl1_267 | spl1_268 | spl1_11 | spl1_47 | ~spl1_113 | ~spl1_185 | spl1_269),
% 4.25/1.01 inference(avatar_split_clause,[],[f13685,f13344,f4275,f2587,f454,f182,f13338,f13332])).
% 4.25/1.01 thf(f13685,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (spl1_11 | spl1_47 | ~spl1_113 | ~spl1_185 | spl1_269)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13684,f456])).
% 4.25/1.01 thf(f13684,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | (spl1_11 | ~spl1_113 | ~spl1_185 | spl1_269)),
% 4.25/1.01 inference(forward_demodulation,[],[f13683,f4277])).
% 4.25/1.01 thf(f13680,plain,(
% 4.25/1.01 spl1_21 | ~spl1_234 | ~spl1_268),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13679])).
% 4.25/1.01 thf(f13679,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_234 | ~spl1_268)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13678,f305])).
% 4.25/1.01 thf(f13678,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_234 | ~spl1_268)),
% 4.25/1.01 inference(forward_demodulation,[],[f13677,f8096])).
% 4.25/1.01 thf(f8096,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | ~spl1_234),
% 4.25/1.01 inference(avatar_component_clause,[],[f8094])).
% 4.25/1.01 thf(f8094,plain,(
% 4.25/1.01 spl1_234 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_234])])).
% 4.25/1.01 thf(f13677,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | ~spl1_268),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13669])).
% 4.25/1.01 thf(f13669,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | ~spl1_268),
% 4.25/1.01 inference(superposition,[],[f79,f13340])).
% 4.25/1.01 thf(f13656,plain,(
% 4.25/1.01 spl1_2 | spl1_49 | ~spl1_269),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13655])).
% 4.25/1.01 thf(f13655,plain,(
% 4.25/1.01 $false | (spl1_2 | spl1_49 | ~spl1_269)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13654,f837])).
% 4.25/1.01 thf(f13654,plain,(
% 4.25/1.01 (c8 = c3) | (spl1_2 | ~spl1_269)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13618,f141])).
% 4.25/1.01 thf(f13618,plain,(
% 4.25/1.01 (c1 = c3) | (c8 = c3) | ~spl1_269),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13611])).
% 4.25/1.01 thf(f13611,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c3) | (c8 = c3) | ~spl1_269),
% 4.25/1.01 inference(superposition,[],[f250,f13503])).
% 4.25/1.01 thf(f13503,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c3),c2)) | ~spl1_269),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13502])).
% 4.25/1.01 thf(f13502,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c3),c2)) | ~spl1_269),
% 4.25/1.01 inference(superposition,[],[f21,f13346])).
% 4.25/1.01 thf(f13346,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c2)) | ~spl1_269),
% 4.25/1.01 inference(avatar_component_clause,[],[f13344])).
% 4.25/1.01 thf(f13327,plain,(
% 4.25/1.01 spl1_8 | ~spl1_113 | ~spl1_189),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13326])).
% 4.25/1.01 thf(f13326,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_113 | ~spl1_189)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13325,f170])).
% 4.25/1.01 thf(f13325,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_113 | ~spl1_189)),
% 4.25/1.01 inference(backward_demodulation,[],[f13288,f4293])).
% 4.25/1.01 thf(f13315,plain,(
% 4.25/1.01 spl1_166 | ~spl1_115),
% 4.25/1.01 inference(avatar_split_clause,[],[f13311,f2680,f4096])).
% 4.25/1.01 thf(f13311,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_115),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13303])).
% 4.25/1.01 thf(f13303,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_115),
% 4.25/1.01 inference(superposition,[],[f76,f2682])).
% 4.25/1.01 thf(f2682,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | ~spl1_115),
% 4.25/1.01 inference(avatar_component_clause,[],[f2680])).
% 4.25/1.01 thf(f13314,plain,(
% 4.25/1.01 spl1_21 | ~spl1_115 | ~spl1_174),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13313])).
% 4.25/1.01 thf(f13313,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_115 | ~spl1_174)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13312,f305])).
% 4.25/1.01 thf(f13312,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_115 | ~spl1_174)),
% 4.25/1.01 inference(forward_demodulation,[],[f13311,f4188])).
% 4.25/1.01 thf(f13221,plain,(
% 4.25/1.01 spl1_2 | ~spl1_255 | ~spl1_259),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13220])).
% 4.25/1.01 thf(f13220,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_255 | ~spl1_259)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13219,f141])).
% 4.25/1.01 thf(f13219,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_255 | ~spl1_259)),
% 4.25/1.01 inference(backward_demodulation,[],[f12701,f11142])).
% 4.25/1.01 thf(f12701,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_259),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12696])).
% 4.25/1.01 thf(f12696,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_259),
% 4.25/1.01 inference(superposition,[],[f71,f11278])).
% 4.25/1.01 thf(f13218,plain,(
% 4.25/1.01 spl1_47 | ~spl1_259 | ~spl1_260),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13217])).
% 4.25/1.01 thf(f13217,plain,(
% 4.25/1.01 $false | (spl1_47 | ~spl1_259 | ~spl1_260)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13216,f456])).
% 4.25/1.01 thf(f13216,plain,(
% 4.25/1.01 (c3 = c4) | (~spl1_259 | ~spl1_260)),
% 4.25/1.01 inference(backward_demodulation,[],[f11278,f11282])).
% 4.25/1.01 thf(f13215,plain,(
% 4.25/1.01 spl1_250 | spl1_2 | spl1_47 | ~spl1_68 | spl1_149 | spl1_151 | ~spl1_259),
% 4.25/1.01 inference(avatar_split_clause,[],[f13214,f11276,f3649,f3641,f1413,f454,f139,f10856])).
% 4.25/1.01 thf(f13214,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_2 | spl1_47 | ~spl1_68 | spl1_149 | spl1_151 | ~spl1_259)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13213,f141])).
% 4.25/1.01 thf(f13213,plain,(
% 4.25/1.01 (c1 = c3) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_47 | ~spl1_68 | spl1_149 | spl1_151 | ~spl1_259)),
% 4.25/1.01 inference(forward_demodulation,[],[f13212,f12701])).
% 4.25/1.01 thf(f13212,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_47 | ~spl1_68 | spl1_149 | spl1_151)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13211,f456])).
% 4.25/1.01 thf(f13211,plain,(
% 4.25/1.01 (c3 = c4) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (~spl1_68 | spl1_149 | spl1_151)),
% 4.25/1.01 inference(forward_demodulation,[],[f13210,f1415])).
% 4.25/1.01 thf(f13181,plain,(
% 4.25/1.01 spl1_226 | spl1_228 | spl1_229 | spl1_47 | spl1_227 | ~spl1_259),
% 4.25/1.01 inference(avatar_split_clause,[],[f13180,f11276,f7997,f454,f8005,f8001,f7993])).
% 4.25/1.01 thf(f13180,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (spl1_47 | spl1_227 | ~spl1_259)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13179,f7998])).
% 4.25/1.01 thf(f13179,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (spl1_47 | ~spl1_259)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12686,f456])).
% 4.25/1.01 thf(f12686,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_259),
% 4.25/1.01 inference(superposition,[],[f11278,f4781])).
% 4.25/1.01 thf(f13159,plain,(
% 4.25/1.01 spl1_21 | ~spl1_175 | ~spl1_222),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13158])).
% 4.25/1.01 thf(f13158,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_175 | ~spl1_222)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13157,f305])).
% 4.25/1.01 thf(f13157,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_175 | ~spl1_222)),
% 4.25/1.01 inference(forward_demodulation,[],[f13156,f6578])).
% 4.25/1.01 thf(f6578,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_222),
% 4.25/1.01 inference(avatar_component_clause,[],[f6576])).
% 4.25/1.01 thf(f13156,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_175),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13148])).
% 4.25/1.01 thf(f13148,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_175),
% 4.25/1.01 inference(superposition,[],[f78,f4194])).
% 4.25/1.01 thf(f13120,plain,(
% 4.25/1.01 spl1_11 | ~spl1_177),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f13119])).
% 4.25/1.01 thf(f13119,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_177)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13118,f62])).
% 4.25/1.01 thf(f13118,plain,(
% 4.25/1.01 (c8 = c4) | (spl1_11 | ~spl1_177)),
% 4.25/1.01 inference(subsumption_resolution,[],[f13082,f184])).
% 4.25/1.01 thf(f13082,plain,(
% 4.25/1.01 (c1 = c4) | (c8 = c4) | ~spl1_177),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13075])).
% 4.25/1.01 thf(f13075,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c4) | (c8 = c4) | ~spl1_177),
% 4.25/1.01 inference(superposition,[],[f250,f13030])).
% 4.25/1.01 thf(f13030,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c4),c3)) | ~spl1_177),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f13029])).
% 4.25/1.01 thf(f13029,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c4),c3)) | ~spl1_177),
% 4.25/1.01 inference(superposition,[],[f21,f4202])).
% 4.25/1.01 thf(f4202,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | ~spl1_177),
% 4.25/1.01 inference(avatar_component_clause,[],[f4200])).
% 4.25/1.01 thf(f12958,plain,(
% 4.25/1.01 spl1_118 | spl1_104 | spl1_11 | ~spl1_236 | spl1_240 | spl1_241),
% 4.25/1.01 inference(avatar_split_clause,[],[f12957,f8222,f8218,f8106,f182,f2230,f2730])).
% 4.25/1.01 thf(f12957,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (spl1_11 | ~spl1_236 | spl1_240 | spl1_241)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12899,f8223])).
% 4.25/1.01 thf(f8223,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | spl1_241),
% 4.25/1.01 inference(avatar_component_clause,[],[f8222])).
% 4.25/1.01 thf(f12899,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (spl1_11 | ~spl1_236 | spl1_240)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12763,f8219])).
% 4.25/1.01 thf(f12763,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (spl1_11 | ~spl1_236)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12621,f184])).
% 4.25/1.01 thf(f12621,plain,(
% 4.25/1.01 (c1 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | ~spl1_236),
% 4.25/1.01 inference(superposition,[],[f6212,f12614])).
% 4.25/1.01 thf(f12614,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_236),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12609])).
% 4.25/1.01 thf(f12609,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_236),
% 4.25/1.01 inference(superposition,[],[f72,f8108])).
% 4.25/1.01 thf(f8108,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | ~spl1_236),
% 4.25/1.01 inference(avatar_component_clause,[],[f8106])).
% 4.25/1.01 thf(f12945,plain,(
% 4.25/1.01 spl1_8 | ~spl1_104 | ~spl1_139),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12944])).
% 4.25/1.01 thf(f12944,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_104 | ~spl1_139)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12943,f170])).
% 4.25/1.01 thf(f12943,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_104 | ~spl1_139)),
% 4.25/1.01 inference(backward_demodulation,[],[f12917,f12942])).
% 4.25/1.01 thf(f12942,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5)) | ~spl1_139),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12935])).
% 4.25/1.01 thf(f12935,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5)) | ~spl1_139),
% 4.25/1.01 inference(superposition,[],[f26,f3321])).
% 4.25/1.01 thf(f3321,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | ~spl1_139),
% 4.25/1.01 inference(avatar_component_clause,[],[f3319])).
% 4.25/1.01 thf(f12917,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5)) | ~spl1_104),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12912])).
% 4.25/1.01 thf(f12912,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5)) | ~spl1_104),
% 4.25/1.01 inference(superposition,[],[f73,f2232])).
% 4.25/1.01 thf(f2232,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | ~spl1_104),
% 4.25/1.01 inference(avatar_component_clause,[],[f2230])).
% 4.25/1.01 thf(f12906,plain,(
% 4.25/1.01 spl1_104 | spl1_241 | spl1_11 | spl1_47 | ~spl1_231 | ~spl1_236 | spl1_240),
% 4.25/1.01 inference(avatar_split_clause,[],[f12905,f8218,f8106,f8074,f454,f182,f8222,f2230])).
% 4.25/1.01 thf(f12905,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (spl1_11 | spl1_47 | ~spl1_231 | ~spl1_236 | spl1_240)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12904,f456])).
% 4.25/1.01 thf(f12904,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (spl1_11 | ~spl1_231 | ~spl1_236 | spl1_240)),
% 4.25/1.01 inference(forward_demodulation,[],[f12903,f8076])).
% 4.25/1.01 thf(f12903,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (spl1_11 | ~spl1_236 | spl1_240)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12770,f8219])).
% 4.25/1.01 thf(f12770,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (spl1_11 | ~spl1_236)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12619,f184])).
% 4.25/1.01 thf(f12619,plain,(
% 4.25/1.01 (c1 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | ~spl1_236),
% 4.25/1.01 inference(superposition,[],[f12614,f6212])).
% 4.25/1.01 thf(f12898,plain,(
% 4.25/1.01 spl1_21 | ~spl1_101 | ~spl1_241),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12897])).
% 4.25/1.01 thf(f12897,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_101 | ~spl1_241)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12896,f305])).
% 4.25/1.01 thf(f12896,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_101 | ~spl1_241)),
% 4.25/1.01 inference(forward_demodulation,[],[f12895,f2218])).
% 4.25/1.01 thf(f2218,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_101),
% 4.25/1.01 inference(avatar_component_clause,[],[f2216])).
% 4.25/1.01 thf(f2216,plain,(
% 4.25/1.01 spl1_101 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_101])])).
% 4.25/1.01 thf(f12895,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_241),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12888])).
% 4.25/1.01 thf(f12888,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_241),
% 4.25/1.01 inference(superposition,[],[f76,f8224])).
% 4.25/1.01 thf(f12761,plain,(
% 4.25/1.01 spl1_47 | ~spl1_118 | ~spl1_231),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12760])).
% 4.25/1.01 thf(f12760,plain,(
% 4.25/1.01 $false | (spl1_47 | ~spl1_118 | ~spl1_231)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12759,f456])).
% 4.25/1.01 thf(f12759,plain,(
% 4.25/1.01 (c3 = c4) | (~spl1_118 | ~spl1_231)),
% 4.25/1.01 inference(backward_demodulation,[],[f2732,f8076])).
% 4.25/1.01 thf(f12758,plain,(
% 4.25/1.01 spl1_2 | ~spl1_236 | ~spl1_252),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12757])).
% 4.25/1.01 thf(f12757,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_236 | ~spl1_252)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12756,f141])).
% 4.25/1.01 thf(f12756,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_236 | ~spl1_252)),
% 4.25/1.01 inference(backward_demodulation,[],[f12614,f10953])).
% 4.25/1.01 thf(f12752,plain,(
% 4.25/1.01 spl1_51 | spl1_8 | ~spl1_151),
% 4.25/1.01 inference(avatar_split_clause,[],[f12751,f3649,f168,f847])).
% 4.25/1.01 thf(f12751,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c5))) | (spl1_8 | ~spl1_151)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12719,f170])).
% 4.25/1.01 thf(f12719,plain,(
% 4.25/1.01 (c1 = c2) | (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c5))) | ~spl1_151),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12714])).
% 4.25/1.01 thf(f12714,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c2) | (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c5))) | ~spl1_151),
% 4.25/1.01 inference(superposition,[],[f269,f12653])).
% 4.25/1.01 thf(f12653,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_151),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12652])).
% 4.25/1.01 thf(f12652,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_151),
% 4.25/1.01 inference(superposition,[],[f21,f3651])).
% 4.25/1.01 thf(f3651,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_151),
% 4.25/1.01 inference(avatar_component_clause,[],[f3649])).
% 4.25/1.01 thf(f12406,plain,(
% 4.25/1.01 spl1_25 | ~spl1_98 | ~spl1_102),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12405])).
% 4.25/1.01 thf(f12405,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_98 | ~spl1_102)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12404,f323])).
% 4.25/1.01 thf(f12404,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_98 | ~spl1_102)),
% 4.25/1.01 inference(backward_demodulation,[],[f2222,f2204])).
% 4.25/1.01 thf(f12385,plain,(
% 4.25/1.01 spl1_151 | spl1_255 | spl1_250 | spl1_149 | spl1_11 | ~spl1_136),
% 4.25/1.01 inference(avatar_split_clause,[],[f12384,f3276,f182,f3641,f10856,f11140,f3649])).
% 4.25/1.01 thf(f12384,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_11 | ~spl1_136)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12383,f184])).
% 4.25/1.01 thf(f12383,plain,(
% 4.25/1.01 (c1 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_136),
% 4.25/1.01 inference(forward_demodulation,[],[f8188,f3278])).
% 4.25/1.01 thf(f8188,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.01 inference(superposition,[],[f6212,f45])).
% 4.25/1.01 thf(f12382,plain,(
% 4.25/1.01 spl1_151 | spl1_255 | spl1_250 | spl1_149 | spl1_11 | ~spl1_136),
% 4.25/1.01 inference(avatar_split_clause,[],[f12381,f3276,f182,f3641,f10856,f11140,f3649])).
% 4.25/1.01 thf(f12381,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_11 | ~spl1_136)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12380,f184])).
% 4.25/1.01 thf(f12380,plain,(
% 4.25/1.01 (c1 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_136),
% 4.25/1.01 inference(forward_demodulation,[],[f8579,f3278])).
% 4.25/1.01 thf(f8579,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.01 inference(superposition,[],[f6212,f45])).
% 4.25/1.01 thf(f12379,plain,(
% 4.25/1.01 spl1_151 | spl1_255 | spl1_250 | spl1_149 | spl1_11 | ~spl1_136),
% 4.25/1.01 inference(avatar_split_clause,[],[f12378,f3276,f182,f3641,f10856,f11140,f3649])).
% 4.25/1.01 thf(f12378,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_11 | ~spl1_136)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12377,f184])).
% 4.25/1.01 thf(f12377,plain,(
% 4.25/1.01 (c1 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_136),
% 4.25/1.01 inference(forward_demodulation,[],[f9491,f3278])).
% 4.25/1.01 thf(f9491,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5))))),
% 4.25/1.01 inference(superposition,[],[f6212,f45])).
% 4.25/1.01 thf(f12348,plain,(
% 4.25/1.01 spl1_96 | spl1_98 | spl1_19 | spl1_95),
% 4.25/1.01 inference(avatar_split_clause,[],[f12347,f2189,f233,f2202,f2193])).
% 4.25/1.01 thf(f233,plain,(
% 4.25/1.01 spl1_19 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_19])])).
% 4.25/1.01 thf(f2189,plain,(
% 4.25/1.01 spl1_95 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_95])])).
% 4.25/1.01 thf(f12347,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | (spl1_19 | spl1_95)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12171,f2190])).
% 4.25/1.01 thf(f2190,plain,(
% 4.25/1.01 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2)) | spl1_95),
% 4.25/1.01 inference(avatar_component_clause,[],[f2189])).
% 4.25/1.01 thf(f12171,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2)) | spl1_19),
% 4.25/1.01 inference(subsumption_resolution,[],[f7637,f234])).
% 4.25/1.01 thf(f234,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2)) | spl1_19),
% 4.25/1.01 inference(avatar_component_clause,[],[f233])).
% 4.25/1.01 thf(f7637,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2))),
% 4.25/1.01 inference(superposition,[],[f1405,f33])).
% 4.25/1.01 thf(f12338,plain,(
% 4.25/1.01 spl1_2 | ~spl1_225 | ~spl1_234),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12337])).
% 4.25/1.01 thf(f12337,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_225 | ~spl1_234)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12336,f141])).
% 4.25/1.01 thf(f12336,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_225 | ~spl1_234)),
% 4.25/1.01 inference(backward_demodulation,[],[f9192,f8096])).
% 4.25/1.01 thf(f9192,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | ~spl1_225),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f9187])).
% 4.25/1.01 thf(f9187,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | ~spl1_225),
% 4.25/1.01 inference(superposition,[],[f71,f7989])).
% 4.25/1.01 thf(f12335,plain,(
% 4.25/1.01 spl1_21 | ~spl1_225 | ~spl1_247),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12334])).
% 4.25/1.01 thf(f12334,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_225 | ~spl1_247)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12333,f305])).
% 4.25/1.01 thf(f12333,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_225 | ~spl1_247)),
% 4.25/1.01 inference(forward_demodulation,[],[f8897,f7989])).
% 4.25/1.01 thf(f8897,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | ~spl1_247),
% 4.25/1.01 inference(avatar_component_clause,[],[f8895])).
% 4.25/1.01 thf(f12325,plain,(
% 4.25/1.01 spl1_8 | spl1_50 | ~spl1_95),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12324])).
% 4.25/1.01 thf(f12324,plain,(
% 4.25/1.01 $false | (spl1_8 | spl1_50 | ~spl1_95)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12323,f842])).
% 4.25/1.01 thf(f12323,plain,(
% 4.25/1.01 (c8 = c2) | (spl1_8 | ~spl1_95)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12299,f170])).
% 4.25/1.01 thf(f12299,plain,(
% 4.25/1.01 (c1 = c2) | (c8 = c2) | ~spl1_95),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12298])).
% 4.25/1.01 thf(f12298,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c2) | (c8 = c2) | ~spl1_95),
% 4.25/1.01 inference(superposition,[],[f396,f12216])).
% 4.25/1.01 thf(f12216,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c1),c2)) | ~spl1_95),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12215])).
% 4.25/1.01 thf(f12215,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c1),c2)) | ~spl1_95),
% 4.25/1.01 inference(superposition,[],[f21,f2191])).
% 4.25/1.01 thf(f2191,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2)) | ~spl1_95),
% 4.25/1.01 inference(avatar_component_clause,[],[f2189])).
% 4.25/1.01 thf(f12230,plain,(
% 4.25/1.01 spl1_102 | ~spl1_137),
% 4.25/1.01 inference(avatar_split_clause,[],[f12229,f3302,f2220])).
% 4.25/1.01 thf(f3302,plain,(
% 4.25/1.01 spl1_137 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c4))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_137])])).
% 4.25/1.01 thf(f12229,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | ~spl1_137),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12222])).
% 4.25/1.01 thf(f12222,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | ~spl1_137),
% 4.25/1.01 inference(superposition,[],[f77,f3304])).
% 4.25/1.01 thf(f3304,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c4)) | ~spl1_137),
% 4.25/1.01 inference(avatar_component_clause,[],[f3302])).
% 4.25/1.01 thf(f12191,plain,(
% 4.25/1.01 spl1_95 | spl1_19 | spl1_47 | spl1_98 | ~spl1_239),
% 4.25/1.01 inference(avatar_split_clause,[],[f12190,f8210,f2202,f454,f233,f2189])).
% 4.25/1.01 thf(f12190,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2)) | (spl1_19 | spl1_47 | spl1_98 | ~spl1_239)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12189,f456])).
% 4.25/1.01 thf(f12189,plain,(
% 4.25/1.01 (c3 = c4) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2)) | (spl1_19 | spl1_98 | ~spl1_239)),
% 4.25/1.01 inference(forward_demodulation,[],[f12188,f8212])).
% 4.25/1.01 thf(f12188,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2)) | (spl1_19 | spl1_98)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12171,f2203])).
% 4.25/1.01 thf(f2203,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | spl1_98),
% 4.25/1.01 inference(avatar_component_clause,[],[f2202])).
% 4.25/1.01 thf(f12168,plain,(
% 4.25/1.01 spl1_2 | ~spl1_101 | ~spl1_119),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12167])).
% 4.25/1.01 thf(f12167,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_101 | ~spl1_119)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12166,f141])).
% 4.25/1.01 thf(f12166,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_101 | ~spl1_119)),
% 4.25/1.01 inference(forward_demodulation,[],[f12165,f2218])).
% 4.25/1.01 thf(f12165,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_119),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12160])).
% 4.25/1.01 thf(f12160,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_119),
% 4.25/1.01 inference(superposition,[],[f72,f2741])).
% 4.25/1.01 thf(f12152,plain,(
% 4.25/1.01 spl1_11 | ~spl1_179),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12151])).
% 4.25/1.01 thf(f12151,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_179)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12150,f62])).
% 4.25/1.01 thf(f12150,plain,(
% 4.25/1.01 (c8 = c4) | (spl1_11 | ~spl1_179)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12102,f184])).
% 4.25/1.01 thf(f12102,plain,(
% 4.25/1.01 (c1 = c4) | (c8 = c4) | ~spl1_179),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12101])).
% 4.25/1.01 thf(f12101,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c4) | (c8 = c4) | ~spl1_179),
% 4.25/1.01 inference(superposition,[],[f396,f12058])).
% 4.25/1.01 thf(f12058,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c3),c4)) | ~spl1_179),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12057])).
% 4.25/1.01 thf(f12057,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c3),c4)) | ~spl1_179),
% 4.25/1.01 inference(superposition,[],[f21,f4210])).
% 4.25/1.01 thf(f4210,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | ~spl1_179),
% 4.25/1.01 inference(avatar_component_clause,[],[f4208])).
% 4.25/1.01 thf(f12028,plain,(
% 4.25/1.01 spl1_47 | ~spl1_101 | ~spl1_249),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12027])).
% 4.25/1.01 thf(f12027,plain,(
% 4.25/1.01 $false | (spl1_47 | ~spl1_101 | ~spl1_249)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12026,f456])).
% 4.25/1.01 thf(f12026,plain,(
% 4.25/1.01 (c3 = c4) | (~spl1_101 | ~spl1_249)),
% 4.25/1.01 inference(forward_demodulation,[],[f2218,f9919])).
% 4.25/1.01 thf(f9919,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_249),
% 4.25/1.01 inference(avatar_component_clause,[],[f9917])).
% 4.25/1.01 thf(f12021,plain,(
% 4.25/1.01 spl1_85 | ~spl1_249),
% 4.25/1.01 inference(avatar_split_clause,[],[f10926,f9917,f1833])).
% 4.25/1.01 thf(f10926,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | ~spl1_249),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10919])).
% 4.25/1.01 thf(f10919,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | ~spl1_249),
% 4.25/1.01 inference(superposition,[],[f77,f9919])).
% 4.25/1.01 thf(f12020,plain,(
% 4.25/1.01 spl1_25 | ~spl1_138 | ~spl1_139),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12019])).
% 4.25/1.01 thf(f12019,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_138 | ~spl1_139)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12018,f323])).
% 4.25/1.01 thf(f12018,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_138 | ~spl1_139)),
% 4.25/1.01 inference(forward_demodulation,[],[f12017,f3308])).
% 4.25/1.01 thf(f3308,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5)) | ~spl1_138),
% 4.25/1.01 inference(avatar_component_clause,[],[f3306])).
% 4.25/1.01 thf(f3306,plain,(
% 4.25/1.01 spl1_138 <=> (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_138])])).
% 4.25/1.01 thf(f12017,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5)) | ~spl1_139),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f12010])).
% 4.25/1.01 thf(f12010,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5)) | ~spl1_139),
% 4.25/1.01 inference(superposition,[],[f26,f3321])).
% 4.25/1.01 thf(f12004,plain,(
% 4.25/1.01 spl1_111 | spl1_112 | ~spl1_140),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f12003])).
% 4.25/1.01 thf(f12003,plain,(
% 4.25/1.01 $false | (spl1_111 | spl1_112 | ~spl1_140)),
% 4.25/1.01 inference(subsumption_resolution,[],[f12002,f2502])).
% 4.25/1.01 thf(f12002,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c5)) | (spl1_111 | ~spl1_140)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11978,f2498])).
% 4.25/1.01 thf(f11978,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c5)) | (c8 = vAPP($i,$i,s,c5)) | ~spl1_140),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11977])).
% 4.25/1.01 thf(f11977,plain,(
% 4.25/1.01 ($true = $false) | (c1 = vAPP($i,$i,s,c5)) | (c8 = vAPP($i,$i,s,c5)) | ~spl1_140),
% 4.25/1.01 inference(superposition,[],[f396,f11957])).
% 4.25/1.01 thf(f11957,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c1),vAPP($i,$i,s,c5))) | ~spl1_140),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11956])).
% 4.25/1.01 thf(f11956,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c1),vAPP($i,$i,s,c5))) | ~spl1_140),
% 4.25/1.01 inference(superposition,[],[f21,f3325])).
% 4.25/1.01 thf(f3325,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | ~spl1_140),
% 4.25/1.01 inference(avatar_component_clause,[],[f3323])).
% 4.25/1.01 thf(f11944,plain,(
% 4.25/1.01 spl1_140 | spl1_139 | spl1_21 | spl1_25 | ~spl1_94 | ~spl1_149),
% 4.25/1.01 inference(avatar_split_clause,[],[f11943,f3641,f2181,f321,f303,f3319,f3323])).
% 4.25/1.01 thf(f11943,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (spl1_21 | spl1_25 | ~spl1_94 | ~spl1_149)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11942,f305])).
% 4.25/1.01 thf(f11942,plain,(
% 4.25/1.01 (c3 = c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_94 | ~spl1_149)),
% 4.25/1.01 inference(forward_demodulation,[],[f11941,f11129])).
% 4.25/1.01 thf(f11129,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_149),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11122])).
% 4.25/1.01 thf(f11122,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_149),
% 4.25/1.01 inference(superposition,[],[f26,f3643])).
% 4.25/1.01 thf(f11941,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_94)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11929,f323])).
% 4.25/1.01 thf(f11929,plain,(
% 4.25/1.01 (c2 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,c5))) | ~spl1_94),
% 4.25/1.01 inference(superposition,[],[f1405,f2183])).
% 4.25/1.01 thf(f11914,plain,(
% 4.25/1.01 spl1_136 | ~spl1_200),
% 4.25/1.01 inference(avatar_split_clause,[],[f11913,f4844,f3276])).
% 4.25/1.01 thf(f11913,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | ~spl1_200),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11908])).
% 4.25/1.01 thf(f11908,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | ~spl1_200),
% 4.25/1.01 inference(superposition,[],[f72,f4846])).
% 4.25/1.01 thf(f4846,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | ~spl1_200),
% 4.25/1.01 inference(avatar_component_clause,[],[f4844])).
% 4.25/1.01 thf(f11858,plain,(
% 4.25/1.01 spl1_131 | ~spl1_261),
% 4.25/1.01 inference(avatar_split_clause,[],[f11793,f11552,f3255])).
% 4.25/1.01 thf(f11793,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | ~spl1_261),
% 4.25/1.01 inference(forward_demodulation,[],[f11792,f45])).
% 4.25/1.01 thf(f11792,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c5))))) | ~spl1_261),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11789])).
% 4.25/1.01 thf(f11789,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,vAPP($i,$i,s,c5))))) | ~spl1_261),
% 4.25/1.01 inference(superposition,[],[f25,f11554])).
% 4.25/1.01 thf(f11554,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_261),
% 4.25/1.01 inference(avatar_component_clause,[],[f11552])).
% 4.25/1.01 thf(f11730,plain,(
% 4.25/1.01 spl1_47 | ~spl1_229 | spl1_235 | spl1_236 | spl1_237 | ~spl1_255),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f11729])).
% 4.25/1.01 thf(f11729,plain,(
% 4.25/1.01 $false | (spl1_47 | ~spl1_229 | spl1_235 | spl1_236 | spl1_237 | ~spl1_255)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11728,f456])).
% 4.25/1.01 thf(f11728,plain,(
% 4.25/1.01 (c3 = c4) | (spl1_47 | ~spl1_229 | spl1_235 | spl1_236 | spl1_237 | ~spl1_255)),
% 4.25/1.01 inference(forward_demodulation,[],[f11727,f8007])).
% 4.25/1.01 thf(f11727,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (spl1_47 | spl1_235 | spl1_236 | spl1_237 | ~spl1_255)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11726,f8103])).
% 4.25/1.01 thf(f11726,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_47 | spl1_236 | spl1_237 | ~spl1_255)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11725,f8107])).
% 4.25/1.01 thf(f11725,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_47 | spl1_237 | ~spl1_255)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11724,f8111])).
% 4.25/1.01 thf(f8111,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | spl1_237),
% 4.25/1.01 inference(avatar_component_clause,[],[f8110])).
% 4.25/1.01 thf(f11724,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_47 | ~spl1_255)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11703,f456])).
% 4.25/1.01 thf(f11703,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | ~spl1_255),
% 4.25/1.01 inference(superposition,[],[f4838,f11142])).
% 4.25/1.01 thf(f11626,plain,(
% 4.25/1.01 spl1_11 | ~spl1_258),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f11625])).
% 4.25/1.01 thf(f11625,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_258)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11624,f62])).
% 4.25/1.01 thf(f11624,plain,(
% 4.25/1.01 (c8 = c4) | (spl1_11 | ~spl1_258)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11592,f184])).
% 4.25/1.01 thf(f11592,plain,(
% 4.25/1.01 (c1 = c4) | (c8 = c4) | ~spl1_258),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11585])).
% 4.25/1.01 thf(f11585,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c4) | (c8 = c4) | ~spl1_258),
% 4.25/1.01 inference(superposition,[],[f250,f11573])).
% 4.25/1.01 thf(f11573,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_258),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11572])).
% 4.25/1.01 thf(f11572,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_258),
% 4.25/1.01 inference(superposition,[],[f21,f11274])).
% 4.25/1.01 thf(f11274,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_258),
% 4.25/1.01 inference(avatar_component_clause,[],[f11272])).
% 4.25/1.01 thf(f11549,plain,(
% 4.25/1.01 spl1_25 | ~spl1_229 | ~spl1_260),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f11548])).
% 4.25/1.01 thf(f11548,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_229 | ~spl1_260)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11547,f323])).
% 4.25/1.01 thf(f11547,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_229 | ~spl1_260)),
% 4.25/1.01 inference(forward_demodulation,[],[f11546,f8007])).
% 4.25/1.01 thf(f11546,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_260),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11538])).
% 4.25/1.01 thf(f11538,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_260),
% 4.25/1.01 inference(superposition,[],[f26,f11282])).
% 4.25/1.01 thf(f11492,plain,(
% 4.25/1.01 spl1_11 | spl1_47 | ~spl1_229 | spl1_235 | spl1_236 | spl1_237 | ~spl1_259),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f11491])).
% 4.25/1.01 thf(f11491,plain,(
% 4.25/1.01 $false | (spl1_11 | spl1_47 | ~spl1_229 | spl1_235 | spl1_236 | spl1_237 | ~spl1_259)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11490,f456])).
% 4.25/1.01 thf(f11490,plain,(
% 4.25/1.01 (c3 = c4) | (spl1_11 | ~spl1_229 | spl1_235 | spl1_236 | spl1_237 | ~spl1_259)),
% 4.25/1.01 inference(forward_demodulation,[],[f11489,f8007])).
% 4.25/1.01 thf(f11489,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (spl1_11 | spl1_235 | spl1_236 | spl1_237 | ~spl1_259)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11488,f8103])).
% 4.25/1.01 thf(f11488,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_11 | spl1_236 | spl1_237 | ~spl1_259)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11487,f8107])).
% 4.25/1.01 thf(f11487,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_11 | spl1_237 | ~spl1_259)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11486,f8111])).
% 4.25/1.01 thf(f11486,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_11 | ~spl1_259)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11471,f184])).
% 4.25/1.01 thf(f11471,plain,(
% 4.25/1.01 (c1 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | ~spl1_259),
% 4.25/1.01 inference(superposition,[],[f4838,f11467])).
% 4.25/1.01 thf(f11467,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_259),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11462])).
% 4.25/1.01 thf(f11462,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_259),
% 4.25/1.01 inference(superposition,[],[f71,f11278])).
% 4.25/1.01 thf(f11250,plain,(
% 4.25/1.01 spl1_2 | spl1_49 | ~spl1_135),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f11249])).
% 4.25/1.01 thf(f11249,plain,(
% 4.25/1.01 $false | (spl1_2 | spl1_49 | ~spl1_135)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11248,f837])).
% 4.25/1.01 thf(f11248,plain,(
% 4.25/1.01 (c8 = c3) | (spl1_2 | ~spl1_135)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11228,f141])).
% 4.25/1.01 thf(f11228,plain,(
% 4.25/1.01 (c1 = c3) | (c8 = c3) | ~spl1_135),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11223])).
% 4.25/1.01 thf(f11223,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c3) | (c8 = c3) | ~spl1_135),
% 4.25/1.01 inference(superposition,[],[f250,f11211])).
% 4.25/1.01 thf(f11211,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c3),c8)) | ~spl1_135),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11210])).
% 4.25/1.01 thf(f11210,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c3),c8)) | ~spl1_135),
% 4.25/1.01 inference(superposition,[],[f21,f3274])).
% 4.25/1.01 thf(f3274,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | ~spl1_135),
% 4.25/1.01 inference(avatar_component_clause,[],[f3272])).
% 4.25/1.01 thf(f11132,plain,(
% 4.25/1.01 spl1_8 | ~spl1_149 | ~spl1_236),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f11131])).
% 4.25/1.01 thf(f11131,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_149 | ~spl1_236)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11130,f170])).
% 4.25/1.01 thf(f11130,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_149 | ~spl1_236)),
% 4.25/1.01 inference(backward_demodulation,[],[f11003,f11129])).
% 4.25/1.01 thf(f11003,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_236),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10998])).
% 4.25/1.01 thf(f10998,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_236),
% 4.25/1.01 inference(superposition,[],[f72,f8108])).
% 4.25/1.01 thf(f11118,plain,(
% 4.25/1.01 spl1_11 | ~spl1_198 | ~spl1_250),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f11117])).
% 4.25/1.01 thf(f11117,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_198 | ~spl1_250)),
% 4.25/1.01 inference(subsumption_resolution,[],[f11116,f184])).
% 4.25/1.01 thf(f11116,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_198 | ~spl1_250)),
% 4.25/1.01 inference(forward_demodulation,[],[f11115,f4379])).
% 4.25/1.01 thf(f4379,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_198),
% 4.25/1.01 inference(avatar_component_clause,[],[f4377])).
% 4.25/1.01 thf(f11115,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_250),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f11110])).
% 4.25/1.01 thf(f11110,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_250),
% 4.25/1.01 inference(superposition,[],[f73,f10858])).
% 4.25/1.01 thf(f10879,plain,(
% 4.25/1.01 spl1_249 | spl1_21 | spl1_83 | spl1_84 | spl1_86 | ~spl1_189),
% 4.25/1.01 inference(avatar_split_clause,[],[f10878,f4291,f1837,f1829,f1825,f303,f9917])).
% 4.25/1.01 thf(f10878,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (spl1_21 | spl1_83 | spl1_84 | spl1_86 | ~spl1_189)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10877,f305])).
% 4.25/1.01 thf(f10877,plain,(
% 4.25/1.01 (c3 = c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (spl1_83 | spl1_84 | spl1_86 | ~spl1_189)),
% 4.25/1.01 inference(forward_demodulation,[],[f10876,f4293])).
% 4.25/1.01 thf(f10876,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (spl1_83 | spl1_84 | spl1_86)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10875,f1838])).
% 4.25/1.01 thf(f10875,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | (spl1_83 | spl1_84)),
% 4.25/1.01 inference(subsumption_resolution,[],[f9913,f1826])).
% 4.25/1.01 thf(f1826,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | spl1_83),
% 4.25/1.01 inference(avatar_component_clause,[],[f1825])).
% 4.25/1.01 thf(f10874,plain,(
% 4.25/1.01 spl1_151 | spl1_250 | spl1_149 | spl1_21 | spl1_47 | ~spl1_68 | ~spl1_134),
% 4.25/1.01 inference(avatar_split_clause,[],[f10873,f3268,f1413,f454,f303,f3641,f10856,f3649])).
% 4.25/1.01 thf(f10873,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_21 | spl1_47 | ~spl1_68 | ~spl1_134)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10872,f305])).
% 4.25/1.01 thf(f10872,plain,(
% 4.25/1.01 (c3 = c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_47 | ~spl1_68 | ~spl1_134)),
% 4.25/1.01 inference(forward_demodulation,[],[f10871,f4978])).
% 4.25/1.01 thf(f4978,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_134),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f4969])).
% 4.25/1.01 thf(f4969,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_134),
% 4.25/1.01 inference(superposition,[],[f81,f3270])).
% 4.25/1.01 thf(f10871,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (spl1_47 | ~spl1_68)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10870,f456])).
% 4.25/1.01 thf(f10870,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_68),
% 4.25/1.01 inference(forward_demodulation,[],[f8188,f1415])).
% 4.25/1.01 thf(f10850,plain,(
% 4.25/1.01 spl1_21 | ~spl1_188 | ~spl1_189),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f10849])).
% 4.25/1.01 thf(f10849,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_188 | ~spl1_189)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10848,f305])).
% 4.25/1.01 thf(f10848,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_188 | ~spl1_189)),
% 4.25/1.01 inference(backward_demodulation,[],[f4293,f4289])).
% 4.25/1.01 thf(f10842,plain,(
% 4.25/1.01 spl1_2 | spl1_49 | ~spl1_86),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f10841])).
% 4.25/1.01 thf(f10841,plain,(
% 4.25/1.01 $false | (spl1_2 | spl1_49 | ~spl1_86)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10840,f837])).
% 4.25/1.01 thf(f10840,plain,(
% 4.25/1.01 (c8 = c3) | (spl1_2 | ~spl1_86)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10792,f141])).
% 4.25/1.01 thf(f10792,plain,(
% 4.25/1.01 (c1 = c3) | (c8 = c3) | ~spl1_86),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10791])).
% 4.25/1.01 thf(f10791,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c3) | (c8 = c3) | ~spl1_86),
% 4.25/1.01 inference(superposition,[],[f396,f10757])).
% 4.25/1.01 thf(f10757,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c2),c3)) | ~spl1_86),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10756])).
% 4.25/1.01 thf(f10756,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c2),c3)) | ~spl1_86),
% 4.25/1.01 inference(superposition,[],[f21,f1839])).
% 4.25/1.01 thf(f1839,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | ~spl1_86),
% 4.25/1.01 inference(avatar_component_clause,[],[f1837])).
% 4.25/1.01 thf(f10740,plain,(
% 4.25/1.01 spl1_249 | ~spl1_85),
% 4.25/1.01 inference(avatar_split_clause,[],[f10180,f1833,f9917])).
% 4.25/1.01 thf(f10180,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_85),
% 4.25/1.01 inference(forward_demodulation,[],[f10179,f34])).
% 4.25/1.01 thf(f10179,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c3))) | ~spl1_85),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10176])).
% 4.25/1.01 thf(f10176,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c3))) | ~spl1_85),
% 4.25/1.01 inference(superposition,[],[f25,f1835])).
% 4.25/1.01 thf(f1835,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | ~spl1_85),
% 4.25/1.01 inference(avatar_component_clause,[],[f1833])).
% 4.25/1.01 thf(f10739,plain,(
% 4.25/1.01 spl1_168 | ~spl1_237),
% 4.25/1.01 inference(avatar_split_clause,[],[f10733,f8110,f4104])).
% 4.25/1.01 thf(f10733,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_237),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10725])).
% 4.25/1.01 thf(f10725,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | ~spl1_237),
% 4.25/1.01 inference(superposition,[],[f26,f8112])).
% 4.25/1.01 thf(f10736,plain,(
% 4.25/1.01 spl1_21 | ~spl1_118 | ~spl1_237),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f10735])).
% 4.25/1.01 thf(f10735,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_118 | ~spl1_237)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10734,f305])).
% 4.25/1.01 thf(f10734,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_118 | ~spl1_237)),
% 4.25/1.01 inference(forward_demodulation,[],[f10733,f2732])).
% 4.25/1.01 thf(f10674,plain,(
% 4.25/1.01 spl1_25 | ~spl1_241 | ~spl1_249),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f10673])).
% 4.25/1.01 thf(f10673,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_241 | ~spl1_249)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10672,f323])).
% 4.25/1.01 thf(f10672,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_241 | ~spl1_249)),
% 4.25/1.01 inference(forward_demodulation,[],[f10671,f9919])).
% 4.25/1.01 thf(f10671,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_241),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10664])).
% 4.25/1.01 thf(f10664,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_241),
% 4.25/1.01 inference(superposition,[],[f76,f8224])).
% 4.25/1.01 thf(f10647,plain,(
% 4.25/1.01 spl1_114 | spl1_2 | spl1_115 | spl1_163 | spl1_164 | ~spl1_216),
% 4.25/1.01 inference(avatar_split_clause,[],[f10646,f6421,f4086,f4082,f2680,f139,f2595])).
% 4.25/1.01 thf(f4082,plain,(
% 4.25/1.01 spl1_163 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_163])])).
% 4.25/1.01 thf(f10646,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_2 | spl1_115 | spl1_163 | spl1_164 | ~spl1_216)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10645,f141])).
% 4.25/1.01 thf(f10645,plain,(
% 4.25/1.01 (c1 = c3) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_115 | spl1_163 | spl1_164 | ~spl1_216)),
% 4.25/1.01 inference(forward_demodulation,[],[f10644,f6531])).
% 4.25/1.01 thf(f10644,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (spl1_115 | spl1_163 | spl1_164)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10643,f4087])).
% 4.25/1.01 thf(f10643,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (spl1_115 | spl1_163)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10638,f2681])).
% 4.25/1.01 thf(f2681,plain,(
% 4.25/1.01 (c4 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | spl1_115),
% 4.25/1.01 inference(avatar_component_clause,[],[f2680])).
% 4.25/1.01 thf(f10638,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | spl1_163),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10636])).
% 4.25/1.01 thf(f10636,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | spl1_163),
% 4.25/1.01 inference(superposition,[],[f4083,f469])).
% 4.25/1.01 thf(f4083,plain,(
% 4.25/1.01 (c2 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | spl1_163),
% 4.25/1.01 inference(avatar_component_clause,[],[f4082])).
% 4.25/1.01 thf(f10633,plain,(
% 4.25/1.01 spl1_11 | ~spl1_227 | ~spl1_229),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f10632])).
% 4.25/1.01 thf(f10632,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_227 | ~spl1_229)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10631,f184])).
% 4.25/1.01 thf(f10631,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_227 | ~spl1_229)),
% 4.25/1.01 inference(forward_demodulation,[],[f10630,f8007])).
% 4.25/1.01 thf(f10630,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_227),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10625])).
% 4.25/1.01 thf(f10625,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_227),
% 4.25/1.01 inference(superposition,[],[f70,f7999])).
% 4.25/1.01 thf(f10622,plain,(
% 4.25/1.01 spl1_235 | spl1_228 | spl1_236 | spl1_237 | spl1_25 | ~spl1_134),
% 4.25/1.01 inference(avatar_split_clause,[],[f8098,f3268,f321,f8110,f8106,f8001,f8102])).
% 4.25/1.01 thf(f8098,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_134)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8053,f323])).
% 4.25/1.01 thf(f8053,plain,(
% 4.25/1.01 (c2 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | ~spl1_134),
% 4.25/1.01 inference(superposition,[],[f4838,f4978])).
% 4.25/1.01 thf(f10620,plain,(
% 4.25/1.01 spl1_229 | ~spl1_163),
% 4.25/1.01 inference(avatar_split_clause,[],[f10280,f4082,f8005])).
% 4.25/1.01 thf(f10280,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_163),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10277])).
% 4.25/1.01 thf(f10277,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_163),
% 4.25/1.01 inference(superposition,[],[f25,f4084])).
% 4.25/1.01 thf(f4084,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | ~spl1_163),
% 4.25/1.01 inference(avatar_component_clause,[],[f4082])).
% 4.25/1.01 thf(f10616,plain,(
% 4.25/1.01 spl1_49 | spl1_111 | ~spl1_235),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f10615])).
% 4.25/1.01 thf(f10615,plain,(
% 4.25/1.01 $false | (spl1_49 | spl1_111 | ~spl1_235)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10614,f837])).
% 4.25/1.01 thf(f10614,plain,(
% 4.25/1.01 (c8 = c3) | (spl1_111 | ~spl1_235)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10570,f2498])).
% 4.25/1.01 thf(f10570,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c5)) | (c8 = c3) | ~spl1_235),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10567])).
% 4.25/1.01 thf(f10567,plain,(
% 4.25/1.01 ($true = $false) | (c1 = vAPP($i,$i,s,c5)) | (c8 = c3) | ~spl1_235),
% 4.25/1.01 inference(superposition,[],[f391,f10526])).
% 4.25/1.01 thf(f10526,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c3),vAPP($i,$i,s,c5))) | ~spl1_235),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10525])).
% 4.25/1.01 thf(f10525,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c3),vAPP($i,$i,s,c5))) | ~spl1_235),
% 4.25/1.01 inference(superposition,[],[f21,f8104])).
% 4.25/1.01 thf(f8104,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | ~spl1_235),
% 4.25/1.01 inference(avatar_component_clause,[],[f8102])).
% 4.25/1.01 thf(f10218,plain,(
% 4.25/1.01 spl1_25 | ~spl1_98 | ~spl1_137),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f10217])).
% 4.25/1.01 thf(f10217,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_98 | ~spl1_137)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10216,f323])).
% 4.25/1.01 thf(f10216,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_98 | ~spl1_137)),
% 4.25/1.01 inference(forward_demodulation,[],[f10215,f2204])).
% 4.25/1.01 thf(f10215,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | ~spl1_137),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10208])).
% 4.25/1.01 thf(f10208,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c3)) | ~spl1_137),
% 4.25/1.01 inference(superposition,[],[f77,f3304])).
% 4.25/1.01 thf(f10148,plain,(
% 4.25/1.01 spl1_25 | ~spl1_83 | ~spl1_239),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f10147])).
% 4.25/1.01 thf(f10147,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_83 | ~spl1_239)),
% 4.25/1.01 inference(subsumption_resolution,[],[f10146,f323])).
% 4.25/1.01 thf(f10146,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_83 | ~spl1_239)),
% 4.25/1.01 inference(forward_demodulation,[],[f10145,f8212])).
% 4.25/1.01 thf(f10145,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_83),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f10138])).
% 4.25/1.01 thf(f10138,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | ~spl1_83),
% 4.25/1.01 inference(superposition,[],[f78,f1827])).
% 4.25/1.01 thf(f9792,plain,(
% 4.25/1.01 ~spl1_164),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f9791])).
% 4.25/1.01 thf(f9791,plain,(
% 4.25/1.01 $false | ~spl1_164),
% 4.25/1.01 inference(subsumption_resolution,[],[f9790,f62])).
% 4.25/1.01 thf(f9790,plain,(
% 4.25/1.01 (c8 = c4) | ~spl1_164),
% 4.25/1.01 inference(subsumption_resolution,[],[f9789,f59])).
% 4.25/1.01 thf(f9789,plain,(
% 4.25/1.01 (c5 = c1) | (c8 = c4) | ~spl1_164),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f9764])).
% 4.25/1.01 thf(f9764,plain,(
% 4.25/1.01 ($true = $false) | (c5 = c1) | (c8 = c4) | ~spl1_164),
% 4.25/1.01 inference(superposition,[],[f9737,f391])).
% 4.25/1.01 thf(f9737,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c4),c5)) | ~spl1_164),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f9736])).
% 4.25/1.01 thf(f9736,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c4),c5)) | ~spl1_164),
% 4.25/1.01 inference(superposition,[],[f21,f4088])).
% 4.25/1.01 thf(f4088,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c5)) | ~spl1_164),
% 4.25/1.01 inference(avatar_component_clause,[],[f4086])).
% 4.25/1.01 thf(f9689,plain,(
% 4.25/1.01 spl1_11 | ~spl1_104 | ~spl1_138),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f9688])).
% 4.25/1.01 thf(f9688,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_104 | ~spl1_138)),
% 4.25/1.01 inference(subsumption_resolution,[],[f9687,f184])).
% 4.25/1.01 thf(f9687,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_104 | ~spl1_138)),
% 4.25/1.01 inference(forward_demodulation,[],[f9686,f3308])).
% 4.25/1.01 thf(f9686,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5)) | ~spl1_104),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f9681])).
% 4.25/1.01 thf(f9681,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5)) | ~spl1_104),
% 4.25/1.01 inference(superposition,[],[f73,f2232])).
% 4.25/1.01 thf(f9454,plain,(
% 4.25/1.01 spl1_240 | spl1_118 | spl1_104 | spl1_241 | spl1_25 | ~spl1_149),
% 4.25/1.01 inference(avatar_split_clause,[],[f8226,f3641,f321,f8222,f2230,f2730,f8218])).
% 4.25/1.01 thf(f8226,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (spl1_25 | ~spl1_149)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8192,f323])).
% 4.25/1.01 thf(f8192,plain,(
% 4.25/1.01 (c2 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | ~spl1_149),
% 4.25/1.01 inference(superposition,[],[f3998,f6212])).
% 4.25/1.01 thf(f3998,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_149),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f3992])).
% 4.25/1.01 thf(f3992,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c5))) | ~spl1_149),
% 4.25/1.01 inference(superposition,[],[f26,f3643])).
% 4.25/1.01 thf(f9452,plain,(
% 4.25/1.01 spl1_18 | ~spl1_240),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f9451])).
% 4.25/1.01 thf(f9451,plain,(
% 4.25/1.01 $false | (spl1_18 | ~spl1_240)),
% 4.25/1.01 inference(subsumption_resolution,[],[f9450,f231])).
% 4.25/1.01 thf(f231,plain,(
% 4.25/1.01 (c5 != c2) | spl1_18),
% 4.25/1.01 inference(avatar_component_clause,[],[f229])).
% 4.25/1.01 thf(f229,plain,(
% 4.25/1.01 spl1_18 <=> (c5 = c2)),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])).
% 4.25/1.01 thf(f9450,plain,(
% 4.25/1.01 (c5 = c2) | ~spl1_240),
% 4.25/1.01 inference(forward_demodulation,[],[f9449,f9330])).
% 4.25/1.01 thf(f9330,plain,(
% 4.25/1.01 (c8 = c5) | ~spl1_240),
% 4.25/1.01 inference(subsumption_resolution,[],[f9329,f59])).
% 4.25/1.01 thf(f9329,plain,(
% 4.25/1.01 (c5 = c1) | (c8 = c5) | ~spl1_240),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f9300])).
% 4.25/1.01 thf(f9300,plain,(
% 4.25/1.01 ($true = $false) | (c5 = c1) | (c8 = c5) | ~spl1_240),
% 4.25/1.01 inference(superposition,[],[f9288,f396])).
% 4.25/1.01 thf(f9288,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c2),c5)) | ~spl1_240),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f9287])).
% 4.25/1.01 thf(f9287,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c2),c5)) | ~spl1_240),
% 4.25/1.01 inference(superposition,[],[f21,f8220])).
% 4.25/1.01 thf(f8220,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | ~spl1_240),
% 4.25/1.01 inference(avatar_component_clause,[],[f8218])).
% 4.25/1.01 thf(f9449,plain,(
% 4.25/1.01 (c8 = c2) | ~spl1_240),
% 4.25/1.01 inference(subsumption_resolution,[],[f9316,f59])).
% 4.25/1.01 thf(f9316,plain,(
% 4.25/1.01 (c5 = c1) | (c8 = c2) | ~spl1_240),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f9313])).
% 4.25/1.01 thf(f9313,plain,(
% 4.25/1.01 ($true = $false) | (c5 = c1) | (c8 = c2) | ~spl1_240),
% 4.25/1.01 inference(superposition,[],[f391,f9288])).
% 4.25/1.01 thf(f9163,plain,(
% 4.25/1.01 spl1_8 | ~spl1_208 | ~spl1_247),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f9162])).
% 4.25/1.01 thf(f9162,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_208 | ~spl1_247)),
% 4.25/1.01 inference(subsumption_resolution,[],[f9161,f170])).
% 4.25/1.01 thf(f9161,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_208 | ~spl1_247)),
% 4.25/1.01 inference(forward_demodulation,[],[f9160,f8897])).
% 4.25/1.01 thf(f9160,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | ~spl1_208),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f9155])).
% 4.25/1.01 thf(f9155,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | ~spl1_208),
% 4.25/1.01 inference(superposition,[],[f70,f5139])).
% 4.25/1.01 thf(f9089,plain,(
% 4.25/1.01 spl1_234 | spl1_239 | spl1_148 | spl1_248),
% 4.25/1.01 inference(avatar_split_clause,[],[f9088,f8916,f3632,f8210,f8094])).
% 4.25/1.01 thf(f3632,plain,(
% 4.25/1.01 spl1_148 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_148])])).
% 4.25/1.01 thf(f8916,plain,(
% 4.25/1.01 spl1_248 <=> (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_248])])).
% 4.25/1.01 thf(f9088,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | (spl1_148 | spl1_248)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8912,f8917])).
% 4.25/1.01 thf(f8917,plain,(
% 4.25/1.01 (c3 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1)) | spl1_248),
% 4.25/1.01 inference(avatar_component_clause,[],[f8916])).
% 4.25/1.01 thf(f8912,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | spl1_148),
% 4.25/1.01 inference(subsumption_resolution,[],[f8911,f3633])).
% 4.25/1.01 thf(f3633,plain,(
% 4.25/1.01 (c5 != vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1)) | spl1_148),
% 4.25/1.01 inference(avatar_component_clause,[],[f3632])).
% 4.25/1.01 thf(f8911,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1))),
% 4.25/1.01 inference(subsumption_resolution,[],[f8186,f29])).
% 4.25/1.01 thf(f8186,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c2)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1))),
% 4.25/1.01 inference(superposition,[],[f6212,f32])).
% 4.25/1.01 thf(f9052,plain,(
% 4.25/1.01 ~spl1_248),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f9051])).
% 4.25/1.01 thf(f9051,plain,(
% 4.25/1.01 $false | ~spl1_248),
% 4.25/1.01 inference(subsumption_resolution,[],[f9050,f59])).
% 4.25/1.01 thf(f9050,plain,(
% 4.25/1.01 (c5 = c1) | ~spl1_248),
% 4.25/1.01 inference(forward_demodulation,[],[f9049,f218])).
% 4.25/1.01 thf(f9049,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c1)) | ~spl1_248),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f9044])).
% 4.25/1.01 thf(f9044,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c1)) | ~spl1_248),
% 4.25/1.01 inference(superposition,[],[f73,f8918])).
% 4.25/1.01 thf(f8918,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1)) | ~spl1_248),
% 4.25/1.01 inference(avatar_component_clause,[],[f8916])).
% 4.25/1.01 thf(f8964,plain,(
% 4.25/1.01 spl1_171 | ~spl1_183),
% 4.25/1.01 inference(avatar_split_clause,[],[f8963,f4265,f4174])).
% 4.25/1.01 thf(f8963,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_183),
% 4.25/1.01 inference(forward_demodulation,[],[f8962,f33])).
% 4.25/1.01 thf(f8962,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c2))) | ~spl1_183),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8959])).
% 4.25/1.01 thf(f8959,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c2))) | ~spl1_183),
% 4.25/1.01 inference(superposition,[],[f25,f4267])).
% 4.25/1.01 thf(f4267,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | ~spl1_183),
% 4.25/1.01 inference(avatar_component_clause,[],[f4265])).
% 4.25/1.01 thf(f8937,plain,(
% 4.25/1.01 spl1_21 | ~spl1_182 | ~spl1_208),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f8936])).
% 4.25/1.01 thf(f8936,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_182 | ~spl1_208)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8935,f305])).
% 4.25/1.01 thf(f8935,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_182 | ~spl1_208)),
% 4.25/1.01 inference(forward_demodulation,[],[f8934,f5139])).
% 4.25/1.01 thf(f8934,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_182),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8928])).
% 4.25/1.01 thf(f8928,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_182),
% 4.25/1.01 inference(superposition,[],[f79,f4263])).
% 4.25/1.01 thf(f8880,plain,(
% 4.25/1.01 spl1_224 | spl1_208 | spl1_225 | spl1_47 | ~spl1_222),
% 4.25/1.01 inference(avatar_split_clause,[],[f7979,f6576,f454,f7987,f5137,f7983])).
% 4.25/1.01 thf(f7979,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | (spl1_47 | ~spl1_222)),
% 4.25/1.01 inference(subsumption_resolution,[],[f7978,f456])).
% 4.25/1.01 thf(f7978,plain,(
% 4.25/1.01 (c3 = c4) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | ~spl1_222),
% 4.25/1.01 inference(forward_demodulation,[],[f7977,f6578])).
% 4.25/1.01 thf(f8876,plain,(
% 4.25/1.01 spl1_11 | ~spl1_224),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f8875])).
% 4.25/1.01 thf(f8875,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_224)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8874,f62])).
% 4.25/1.01 thf(f8874,plain,(
% 4.25/1.01 (c8 = c4) | (spl1_11 | ~spl1_224)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8854,f184])).
% 4.25/1.01 thf(f8854,plain,(
% 4.25/1.01 (c1 = c4) | (c8 = c4) | ~spl1_224),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8850])).
% 4.25/1.01 thf(f8850,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c4) | (c8 = c4) | ~spl1_224),
% 4.25/1.01 inference(superposition,[],[f250,f8046])).
% 4.25/1.01 thf(f8046,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c4),c1)) | ~spl1_224),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8045])).
% 4.25/1.01 thf(f8045,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c4),c1)) | ~spl1_224),
% 4.25/1.01 inference(superposition,[],[f21,f7985])).
% 4.25/1.01 thf(f7985,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | ~spl1_224),
% 4.25/1.01 inference(avatar_component_clause,[],[f7983])).
% 4.25/1.01 thf(f8822,plain,(
% 4.25/1.01 spl1_25 | ~spl1_115 | ~spl1_165),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f8821])).
% 4.25/1.01 thf(f8821,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_115 | ~spl1_165)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8820,f323])).
% 4.25/1.01 thf(f8820,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_115 | ~spl1_165)),
% 4.25/1.01 inference(forward_demodulation,[],[f8819,f4094])).
% 4.25/1.01 thf(f8819,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_115),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8811])).
% 4.25/1.01 thf(f8811,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c4)) | ~spl1_115),
% 4.25/1.01 inference(superposition,[],[f76,f2682])).
% 4.25/1.01 thf(f8487,plain,(
% 4.25/1.01 ~spl1_22 | spl1_111),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f8486])).
% 4.25/1.01 thf(f8486,plain,(
% 4.25/1.01 $false | (~spl1_22 | spl1_111)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8436,f2498])).
% 4.25/1.01 thf(f8436,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c5)) | ~spl1_22),
% 4.25/1.01 inference(backward_demodulation,[],[f31,f8429])).
% 4.25/1.01 thf(f8429,plain,(
% 4.25/1.01 (c8 = c5) | ~spl1_22),
% 4.25/1.01 inference(subsumption_resolution,[],[f8428,f59])).
% 4.25/1.01 thf(f8428,plain,(
% 4.25/1.01 (c5 = c1) | (c8 = c5) | ~spl1_22),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8405])).
% 4.25/1.01 thf(f8405,plain,(
% 4.25/1.01 ($true = $false) | (c5 = c1) | (c8 = c5) | ~spl1_22),
% 4.25/1.01 inference(superposition,[],[f8404,f396])).
% 4.25/1.01 thf(f8404,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c8),c5)) | ~spl1_22),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8403])).
% 4.25/1.01 thf(f8403,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c8),c5)) | ~spl1_22),
% 4.25/1.01 inference(superposition,[],[f21,f311])).
% 4.25/1.01 thf(f311,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c5)) | ~spl1_22),
% 4.25/1.01 inference(avatar_component_clause,[],[f309])).
% 4.25/1.01 thf(f8354,plain,(
% 4.25/1.01 spl1_242 | spl1_243 | spl1_244 | spl1_246 | ~spl1_39 | spl1_47),
% 4.25/1.01 inference(avatar_split_clause,[],[f8349,f454,f415,f8351,f8331,f8327,f8323])).
% 4.25/1.01 thf(f8349,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (~spl1_39 | spl1_47)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8348,f456])).
% 4.25/1.01 thf(f8348,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | ~spl1_39),
% 4.25/1.01 inference(forward_demodulation,[],[f8296,f417])).
% 4.25/1.01 thf(f8296,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,vAPP($i,$i,s,c5))),c4))),
% 4.25/1.01 inference(superposition,[],[f6304,f35])).
% 4.25/1.01 thf(f8264,plain,(
% 4.25/1.01 spl1_25 | ~spl1_178 | ~spl1_230),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f8263])).
% 4.25/1.01 thf(f8263,plain,(
% 4.25/1.01 $false | (spl1_25 | ~spl1_178 | ~spl1_230)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8261,f323])).
% 4.25/1.01 thf(f8261,plain,(
% 4.25/1.01 (c2 = c4) | (~spl1_178 | ~spl1_230)),
% 4.25/1.01 inference(backward_demodulation,[],[f4206,f8072])).
% 4.25/1.01 thf(f8072,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | ~spl1_230),
% 4.25/1.01 inference(avatar_component_clause,[],[f8070])).
% 4.25/1.01 thf(f4206,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | ~spl1_178),
% 4.25/1.01 inference(avatar_component_clause,[],[f4204])).
% 4.25/1.01 thf(f4204,plain,(
% 4.25/1.01 spl1_178 <=> (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_178])])).
% 4.25/1.01 thf(f8260,plain,(
% 4.25/1.01 spl1_8 | ~spl1_85 | ~spl1_188),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f8259])).
% 4.25/1.01 thf(f8259,plain,(
% 4.25/1.01 $false | (spl1_8 | ~spl1_85 | ~spl1_188)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8258,f170])).
% 4.25/1.01 thf(f8258,plain,(
% 4.25/1.01 (c1 = c2) | (~spl1_85 | ~spl1_188)),
% 4.25/1.01 inference(forward_demodulation,[],[f8257,f1835])).
% 4.25/1.01 thf(f8257,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | ~spl1_188),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8252])).
% 4.25/1.01 thf(f8252,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c3)) | ~spl1_188),
% 4.25/1.01 inference(superposition,[],[f72,f4289])).
% 4.25/1.01 thf(f8229,plain,(
% 4.25/1.01 spl1_240 | spl1_104 | spl1_241 | spl1_25 | spl1_47 | ~spl1_149 | ~spl1_231),
% 4.25/1.01 inference(avatar_split_clause,[],[f8228,f8074,f3641,f454,f321,f8222,f2230,f8218])).
% 4.25/1.01 thf(f8228,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (spl1_25 | spl1_47 | ~spl1_149 | ~spl1_231)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8227,f456])).
% 4.25/1.01 thf(f8227,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c5)) | (spl1_25 | ~spl1_149 | ~spl1_231)),
% 4.25/1.01 inference(forward_demodulation,[],[f8226,f8076])).
% 4.25/1.01 thf(f8167,plain,(
% 4.25/1.01 spl1_178 | ~spl1_231),
% 4.25/1.01 inference(avatar_split_clause,[],[f8164,f8074,f4204])).
% 4.25/1.01 thf(f8164,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | ~spl1_231),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8156])).
% 4.25/1.01 thf(f8156,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | ~spl1_231),
% 4.25/1.01 inference(superposition,[],[f76,f8076])).
% 4.25/1.01 thf(f8146,plain,(
% 4.25/1.01 spl1_11 | ~spl1_85 | ~spl1_119),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f8145])).
% 4.25/1.01 thf(f8145,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_85 | ~spl1_119)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8144,f184])).
% 4.25/1.01 thf(f8144,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_85 | ~spl1_119)),
% 4.25/1.01 inference(forward_demodulation,[],[f8143,f7711])).
% 4.25/1.01 thf(f7711,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_85),
% 4.25/1.01 inference(forward_demodulation,[],[f7710,f34])).
% 4.25/1.01 thf(f7710,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c3))) | ~spl1_85),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f7707])).
% 4.25/1.01 thf(f7707,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),vAPP($i,$i,s,c3))) | ~spl1_85),
% 4.25/1.01 inference(superposition,[],[f25,f1835])).
% 4.25/1.01 thf(f8143,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_119),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8138])).
% 4.25/1.01 thf(f8138,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | ~spl1_119),
% 4.25/1.01 inference(superposition,[],[f72,f2741])).
% 4.25/1.01 thf(f8131,plain,(
% 4.25/1.01 spl1_189 | ~spl1_230),
% 4.25/1.01 inference(avatar_split_clause,[],[f8130,f8070,f4291])).
% 4.25/1.01 thf(f8130,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | ~spl1_230),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f8122])).
% 4.25/1.01 thf(f8122,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c3)) | ~spl1_230),
% 4.25/1.01 inference(superposition,[],[f77,f8072])).
% 4.25/1.01 thf(f8118,plain,(
% 4.25/1.01 spl1_235 | spl1_236 | spl1_237 | spl1_25 | spl1_47 | ~spl1_134 | ~spl1_229),
% 4.25/1.01 inference(avatar_split_clause,[],[f8117,f8005,f3268,f454,f321,f8110,f8106,f8102])).
% 4.25/1.01 thf(f8117,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_25 | spl1_47 | ~spl1_134 | ~spl1_229)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8116,f456])).
% 4.25/1.01 thf(f8116,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_134 | ~spl1_229)),
% 4.25/1.01 inference(forward_demodulation,[],[f8115,f8007])).
% 4.25/1.01 thf(f8115,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_134)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8057,f323])).
% 4.25/1.01 thf(f8057,plain,(
% 4.25/1.01 (c2 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),vAPP($i,$i,s,c5))) | ~spl1_134),
% 4.25/1.01 inference(superposition,[],[f4978,f4838])).
% 4.25/1.01 thf(f8077,plain,(
% 4.25/1.01 spl1_179 | spl1_119 | spl1_230 | spl1_231 | spl1_47 | ~spl1_165),
% 4.25/1.01 inference(avatar_split_clause,[],[f8068,f4092,f454,f8074,f8070,f2739,f4208])).
% 4.25/1.01 thf(f8068,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (spl1_47 | ~spl1_165)),
% 4.25/1.01 inference(subsumption_resolution,[],[f8067,f456])).
% 4.25/1.01 thf(f8067,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c4)) | ~spl1_165),
% 4.25/1.01 inference(forward_demodulation,[],[f8047,f4094])).
% 4.25/1.01 thf(f8010,plain,(
% 4.25/1.01 spl1_226 | spl1_227 | spl1_228 | spl1_229 | spl1_25 | ~spl1_131),
% 4.25/1.01 inference(avatar_split_clause,[],[f8009,f3255,f321,f8005,f8001,f7997,f7993])).
% 4.25/1.01 thf(f8009,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (spl1_25 | ~spl1_131)),
% 4.25/1.01 inference(subsumption_resolution,[],[f7958,f323])).
% 4.25/1.01 thf(f7958,plain,(
% 4.25/1.01 (c2 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,c5))) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,c5))) | ~spl1_131),
% 4.25/1.01 inference(superposition,[],[f4965,f4781])).
% 4.25/1.01 thf(f4965,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_131),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f4956])).
% 4.25/1.01 thf(f4956,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_131),
% 4.25/1.01 inference(superposition,[],[f81,f3257])).
% 4.25/1.01 thf(f7990,plain,(
% 4.25/1.01 spl1_224 | spl1_225 | spl1_2 | spl1_47 | ~spl1_64 | ~spl1_222),
% 4.25/1.01 inference(avatar_split_clause,[],[f7981,f6576,f1231,f454,f139,f7987,f7983])).
% 4.25/1.01 thf(f7981,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | (spl1_2 | spl1_47 | ~spl1_64 | ~spl1_222)),
% 4.25/1.01 inference(subsumption_resolution,[],[f7980,f141])).
% 4.25/1.01 thf(f7980,plain,(
% 4.25/1.01 (c1 = c3) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c1)) | (spl1_47 | ~spl1_64 | ~spl1_222)),
% 4.25/1.01 inference(forward_demodulation,[],[f7979,f5838])).
% 4.25/1.01 thf(f5838,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_64),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f5833])).
% 4.25/1.01 thf(f5833,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c1)) | ~spl1_64),
% 4.25/1.01 inference(superposition,[],[f24,f1233])).
% 4.25/1.01 thf(f7914,plain,(
% 4.25/1.01 spl1_47 | ~spl1_85 | ~spl1_101),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f7913])).
% 4.25/1.01 thf(f7913,plain,(
% 4.25/1.01 $false | (spl1_47 | ~spl1_85 | ~spl1_101)),
% 4.25/1.01 inference(subsumption_resolution,[],[f7912,f456])).
% 4.25/1.01 thf(f7912,plain,(
% 4.25/1.01 (c3 = c4) | (~spl1_85 | ~spl1_101)),
% 4.25/1.01 inference(forward_demodulation,[],[f2218,f7711])).
% 4.25/1.01 thf(f7911,plain,(
% 4.25/1.01 spl1_11 | ~spl1_100),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f7910])).
% 4.25/1.01 thf(f7910,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_100)),
% 4.25/1.01 inference(subsumption_resolution,[],[f7909,f62])).
% 4.25/1.01 thf(f7909,plain,(
% 4.25/1.01 (c8 = c4) | (spl1_11 | ~spl1_100)),
% 4.25/1.01 inference(subsumption_resolution,[],[f7885,f184])).
% 4.25/1.01 thf(f7885,plain,(
% 4.25/1.01 (c1 = c4) | (c8 = c4) | ~spl1_100),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f7884])).
% 4.25/1.01 thf(f7884,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c4) | (c8 = c4) | ~spl1_100),
% 4.25/1.01 inference(superposition,[],[f396,f7741])).
% 4.25/1.01 thf(f7741,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c1),c4)) | ~spl1_100),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f7740])).
% 4.25/1.01 thf(f7740,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c1),c4)) | ~spl1_100),
% 4.25/1.01 inference(superposition,[],[f21,f2214])).
% 4.25/1.01 thf(f2214,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c4)) | ~spl1_100),
% 4.25/1.01 inference(avatar_component_clause,[],[f2212])).
% 4.25/1.01 thf(f2212,plain,(
% 4.25/1.01 spl1_100 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c4))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_100])])).
% 4.25/1.01 thf(f7693,plain,(
% 4.25/1.01 spl1_18 | ~spl1_19),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f7692])).
% 4.25/1.01 thf(f7692,plain,(
% 4.25/1.01 $false | (spl1_18 | ~spl1_19)),
% 4.25/1.01 inference(subsumption_resolution,[],[f7691,f231])).
% 4.25/1.01 thf(f7691,plain,(
% 4.25/1.01 (c5 = c2) | ~spl1_19),
% 4.25/1.01 inference(forward_demodulation,[],[f7690,f218])).
% 4.25/1.01 thf(f7690,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c1)) | ~spl1_19),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f7683])).
% 4.25/1.01 thf(f7683,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c1)) | ~spl1_19),
% 4.25/1.01 inference(superposition,[],[f79,f235])).
% 4.25/1.01 thf(f235,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c2)) | ~spl1_19),
% 4.25/1.01 inference(avatar_component_clause,[],[f233])).
% 4.25/1.01 thf(f7654,plain,(
% 4.25/1.01 spl1_100 | spl1_101 | spl1_137 | spl1_138),
% 4.25/1.01 inference(avatar_split_clause,[],[f7635,f3306,f3302,f2216,f2212])).
% 4.25/1.01 thf(f7635,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c5)) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c4)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c4)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c4))),
% 4.25/1.01 inference(superposition,[],[f1405,f35])).
% 4.25/1.01 thf(f7141,plain,(
% 4.25/1.01 spl1_18 | ~spl1_184),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f7140])).
% 4.25/1.01 thf(f7140,plain,(
% 4.25/1.01 $false | (spl1_18 | ~spl1_184)),
% 4.25/1.01 inference(subsumption_resolution,[],[f7139,f231])).
% 4.25/1.01 thf(f7139,plain,(
% 4.25/1.01 (c5 = c2) | ~spl1_184),
% 4.25/1.01 inference(forward_demodulation,[],[f7138,f7042])).
% 4.25/1.01 thf(f7042,plain,(
% 4.25/1.01 (c8 = c5) | ~spl1_184),
% 4.25/1.01 inference(subsumption_resolution,[],[f7041,f59])).
% 4.25/1.01 thf(f7041,plain,(
% 4.25/1.01 (c5 = c1) | (c8 = c5) | ~spl1_184),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f7024])).
% 4.25/1.01 thf(f7024,plain,(
% 4.25/1.01 ($true = $false) | (c5 = c1) | (c8 = c5) | ~spl1_184),
% 4.25/1.01 inference(superposition,[],[f6629,f250])).
% 4.25/1.01 thf(f6629,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c5),c2)) | ~spl1_184),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f6628])).
% 4.25/1.01 thf(f6628,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c5),c2)) | ~spl1_184),
% 4.25/1.01 inference(superposition,[],[f21,f4271])).
% 4.25/1.01 thf(f4271,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | ~spl1_184),
% 4.25/1.01 inference(avatar_component_clause,[],[f4269])).
% 4.25/1.01 thf(f7138,plain,(
% 4.25/1.01 (c8 = c2) | ~spl1_184),
% 4.25/1.01 inference(subsumption_resolution,[],[f7038,f59])).
% 4.25/1.01 thf(f7038,plain,(
% 4.25/1.01 (c8 = c2) | (c5 = c1) | ~spl1_184),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f7027])).
% 4.25/1.01 thf(f7027,plain,(
% 4.25/1.01 ($true != $true) | (c8 = c2) | (c5 = c1) | ~spl1_184),
% 4.25/1.01 inference(superposition,[],[f14,f6629])).
% 4.25/1.01 thf(f6786,plain,(
% 4.25/1.01 spl1_2 | ~spl1_173),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f6785])).
% 4.25/1.01 thf(f6785,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_173)),
% 4.25/1.01 inference(subsumption_resolution,[],[f6784,f221])).
% 4.25/1.01 thf(f6784,plain,(
% 4.25/1.01 (c5 = c3) | (spl1_2 | ~spl1_173)),
% 4.25/1.01 inference(forward_demodulation,[],[f6783,f6666])).
% 4.25/1.01 thf(f6666,plain,(
% 4.25/1.01 (c8 = c5) | (spl1_2 | ~spl1_173)),
% 4.25/1.01 inference(subsumption_resolution,[],[f6661,f141])).
% 4.25/1.01 thf(f6661,plain,(
% 4.25/1.01 (c1 = c3) | (c8 = c5) | ~spl1_173),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f6634])).
% 4.25/1.01 thf(f6634,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c3) | (c8 = c5) | ~spl1_173),
% 4.25/1.01 inference(superposition,[],[f6618,f391])).
% 4.25/1.01 thf(f6618,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c5),c3)) | ~spl1_173),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f6617])).
% 4.25/1.01 thf(f6617,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c5),c3)) | ~spl1_173),
% 4.25/1.01 inference(superposition,[],[f21,f4184])).
% 4.25/1.01 thf(f4184,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_173),
% 4.25/1.01 inference(avatar_component_clause,[],[f4182])).
% 4.25/1.01 thf(f4182,plain,(
% 4.25/1.01 spl1_173 <=> (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_173])])).
% 4.25/1.01 thf(f6783,plain,(
% 4.25/1.01 (c8 = c3) | (spl1_2 | ~spl1_173)),
% 4.25/1.01 inference(subsumption_resolution,[],[f6648,f141])).
% 4.25/1.01 thf(f6648,plain,(
% 4.25/1.01 (c1 = c3) | (c8 = c3) | ~spl1_173),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f6647])).
% 4.25/1.01 thf(f6647,plain,(
% 4.25/1.01 ($true = $false) | (c1 = c3) | (c8 = c3) | ~spl1_173),
% 4.25/1.01 inference(superposition,[],[f396,f6618])).
% 4.25/1.01 thf(f6609,plain,(
% 4.25/1.01 spl1_173 | spl1_172 | spl1_210 | spl1_171 | spl1_47 | ~spl1_59),
% 4.25/1.01 inference(avatar_split_clause,[],[f6608,f1208,f454,f4174,f5910,f4178,f4182])).
% 4.25/1.01 thf(f6608,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (spl1_47 | ~spl1_59)),
% 4.25/1.01 inference(subsumption_resolution,[],[f6330,f456])).
% 4.25/1.01 thf(f6330,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c3)) | ~spl1_59),
% 4.25/1.01 inference(superposition,[],[f5777,f132])).
% 4.25/1.01 thf(f5777,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c3)) | ~spl1_59),
% 4.25/1.01 inference(forward_demodulation,[],[f5772,f33])).
% 4.25/1.01 thf(f5772,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c2))) | ~spl1_59),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f5769])).
% 4.25/1.01 thf(f5769,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c2))) | ~spl1_59),
% 4.25/1.01 inference(superposition,[],[f25,f1210])).
% 4.25/1.01 thf(f6599,plain,(
% 4.25/1.01 spl1_11 | ~spl1_175 | ~spl1_210),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f6598])).
% 4.25/1.01 thf(f6598,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_175 | ~spl1_210)),
% 4.25/1.01 inference(subsumption_resolution,[],[f6597,f184])).
% 4.25/1.01 thf(f6597,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_175 | ~spl1_210)),
% 4.25/1.01 inference(backward_demodulation,[],[f5923,f4194])).
% 4.25/1.01 thf(f5923,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | ~spl1_210),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f5918])).
% 4.25/1.01 thf(f5918,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c3)) | ~spl1_210),
% 4.25/1.01 inference(superposition,[],[f70,f5912])).
% 4.25/1.01 thf(f6586,plain,(
% 4.25/1.01 spl1_2 | ~spl1_209 | ~spl1_222),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f6585])).
% 4.25/1.01 thf(f6585,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_209 | ~spl1_222)),
% 4.25/1.01 inference(subsumption_resolution,[],[f6584,f141])).
% 4.25/1.01 thf(f6584,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_209 | ~spl1_222)),
% 4.25/1.01 inference(backward_demodulation,[],[f5785,f6578])).
% 4.25/1.01 thf(f5785,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_209),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f5780])).
% 4.25/1.01 thf(f5780,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c2)) | ~spl1_209),
% 4.25/1.01 inference(superposition,[],[f70,f5145])).
% 4.25/1.01 thf(f6041,plain,(
% 4.25/1.01 spl1_50 | ~spl1_112),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f6040])).
% 4.25/1.01 thf(f6040,plain,(
% 4.25/1.01 $false | (spl1_50 | ~spl1_112)),
% 4.25/1.01 inference(subsumption_resolution,[],[f6039,f842])).
% 4.25/1.01 thf(f6039,plain,(
% 4.25/1.01 (c8 = c2) | ~spl1_112),
% 4.25/1.01 inference(forward_demodulation,[],[f6038,f32])).
% 4.25/1.01 thf(f6038,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c1)) | ~spl1_112),
% 4.25/1.01 inference(forward_demodulation,[],[f5999,f31])).
% 4.25/1.01 thf(f5999,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c8))) | ~spl1_112),
% 4.25/1.01 inference(backward_demodulation,[],[f45,f2503])).
% 4.25/1.01 thf(f2503,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c5)) | ~spl1_112),
% 4.25/1.01 inference(avatar_component_clause,[],[f2501])).
% 4.25/1.01 thf(f5384,plain,(
% 4.25/1.01 spl1_21 | ~spl1_202 | ~spl1_203),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f5383])).
% 4.25/1.01 thf(f5383,plain,(
% 4.25/1.01 $false | (spl1_21 | ~spl1_202 | ~spl1_203)),
% 4.25/1.01 inference(subsumption_resolution,[],[f5382,f305])).
% 4.25/1.01 thf(f5382,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_202 | ~spl1_203)),
% 4.25/1.01 inference(forward_demodulation,[],[f5102,f5106])).
% 4.25/1.01 thf(f5381,plain,(
% 4.25/1.01 spl1_202 | ~spl1_128),
% 4.25/1.01 inference(avatar_split_clause,[],[f5377,f3242,f5100])).
% 4.25/1.01 thf(f5377,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_128),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f5365])).
% 4.25/1.01 thf(f5365,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_128),
% 4.25/1.01 inference(superposition,[],[f81,f3244])).
% 4.25/1.01 thf(f3244,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | ~spl1_128),
% 4.25/1.01 inference(avatar_component_clause,[],[f3242])).
% 4.25/1.01 thf(f5164,plain,(
% 4.25/1.01 spl1_61 | ~spl1_63),
% 4.25/1.01 inference(avatar_split_clause,[],[f3039,f1227,f1216])).
% 4.25/1.01 thf(f3039,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c2)) | ~spl1_63),
% 4.25/1.01 inference(forward_demodulation,[],[f3038,f32])).
% 4.25/1.01 thf(f3038,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c1))) | ~spl1_63),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f3035])).
% 4.25/1.01 thf(f3035,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),vAPP($i,$i,s,c1))) | ~spl1_63),
% 4.25/1.01 inference(superposition,[],[f25,f1229])).
% 4.25/1.01 thf(f1229,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | ~spl1_63),
% 4.25/1.01 inference(avatar_component_clause,[],[f1227])).
% 4.25/1.01 thf(f5148,plain,(
% 4.25/1.01 spl1_184 | spl1_183 | spl1_209 | spl1_182 | spl1_47 | ~spl1_61),
% 4.25/1.01 inference(avatar_split_clause,[],[f5147,f1216,f454,f4261,f5143,f4265,f4269])).
% 4.25/1.01 thf(f5147,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (spl1_47 | ~spl1_61)),
% 4.25/1.01 inference(subsumption_resolution,[],[f3941,f456])).
% 4.25/1.01 thf(f3941,plain,(
% 4.25/1.01 (c3 = c4) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c2)) | ~spl1_61),
% 4.25/1.01 inference(superposition,[],[f132,f1218])).
% 4.25/1.01 thf(f5059,plain,(
% 4.25/1.01 spl1_48 | spl1_111 | ~spl1_129),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f5058])).
% 4.25/1.01 thf(f5058,plain,(
% 4.25/1.01 $false | (spl1_48 | spl1_111 | ~spl1_129)),
% 4.25/1.01 inference(subsumption_resolution,[],[f5010,f2498])).
% 4.25/1.01 thf(f5010,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c5)) | (spl1_48 | ~spl1_129)),
% 4.25/1.01 inference(backward_demodulation,[],[f31,f5003])).
% 4.25/1.01 thf(f5003,plain,(
% 4.25/1.01 (c8 = c5) | (spl1_48 | ~spl1_129)),
% 4.25/1.01 inference(subsumption_resolution,[],[f5002,f833])).
% 4.25/1.01 thf(f5002,plain,(
% 4.25/1.01 (c8 = c1) | (c8 = c5) | ~spl1_129),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f4980])).
% 4.25/1.01 thf(f4980,plain,(
% 4.25/1.01 ($true = $false) | (c8 = c1) | (c8 = c5) | ~spl1_129),
% 4.25/1.01 inference(superposition,[],[f4951,f391])).
% 4.25/1.01 thf(f4951,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c5),c8)) | ~spl1_129),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f4950])).
% 4.25/1.01 thf(f4950,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c5),c8)) | ~spl1_129),
% 4.25/1.01 inference(superposition,[],[f21,f3248])).
% 4.25/1.01 thf(f3248,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | ~spl1_129),
% 4.25/1.01 inference(avatar_component_clause,[],[f3246])).
% 4.25/1.01 thf(f4938,plain,(
% 4.25/1.01 spl1_11 | ~spl1_130 | ~spl1_131),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f4937])).
% 4.25/1.01 thf(f4937,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_130 | ~spl1_131)),
% 4.25/1.01 inference(subsumption_resolution,[],[f4936,f184])).
% 4.25/1.01 thf(f4936,plain,(
% 4.25/1.01 (c1 = c4) | (~spl1_130 | ~spl1_131)),
% 4.25/1.01 inference(backward_demodulation,[],[f3252,f3257])).
% 4.25/1.01 thf(f3252,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | ~spl1_130),
% 4.25/1.01 inference(avatar_component_clause,[],[f3250])).
% 4.25/1.01 thf(f3250,plain,(
% 4.25/1.01 spl1_130 <=> (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8))),
% 4.25/1.01 introduced(avatar_definition,[new_symbols(naming,[spl1_130])])).
% 4.25/1.01 thf(f4911,plain,(
% 4.25/1.01 spl1_2 | ~spl1_68 | ~spl1_200),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f4910])).
% 4.25/1.01 thf(f4910,plain,(
% 4.25/1.01 $false | (spl1_2 | ~spl1_68 | ~spl1_200)),
% 4.25/1.01 inference(subsumption_resolution,[],[f4909,f141])).
% 4.25/1.01 thf(f4909,plain,(
% 4.25/1.01 (c1 = c3) | (~spl1_68 | ~spl1_200)),
% 4.25/1.01 inference(forward_demodulation,[],[f4900,f1415])).
% 4.25/1.01 thf(f4900,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | ~spl1_200),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f4895])).
% 4.25/1.01 thf(f4895,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c8)) | ~spl1_200),
% 4.25/1.01 inference(superposition,[],[f72,f4846])).
% 4.25/1.01 thf(f4847,plain,(
% 4.25/1.01 spl1_135 | spl1_200 | spl1_134 | spl1_2 | ~spl1_130),
% 4.25/1.01 inference(avatar_split_clause,[],[f4842,f3250,f139,f3268,f4844,f3272])).
% 4.25/1.01 thf(f4842,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (spl1_2 | ~spl1_130)),
% 4.25/1.01 inference(subsumption_resolution,[],[f4841,f141])).
% 4.25/1.01 thf(f4841,plain,(
% 4.25/1.01 (c1 = c3) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | ~spl1_130),
% 4.25/1.01 inference(forward_demodulation,[],[f4837,f3252])).
% 4.25/1.01 thf(f4837,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8))),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f4832])).
% 4.25/1.01 thf(f4832,plain,(
% 4.25/1.01 (c2 != c2) | (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8)) | (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c3),c8))),
% 4.25/1.01 inference(superposition,[],[f30,f470])).
% 4.25/1.01 thf(f4737,plain,(
% 4.25/1.01 spl1_130 | ~spl1_199),
% 4.25/1.01 inference(avatar_split_clause,[],[f4736,f4695,f3250])).
% 4.25/1.01 thf(f4736,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | ~spl1_199),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f4731])).
% 4.25/1.01 thf(f4731,plain,(
% 4.25/1.01 (c3 != c3) | (c1 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c4),c8)) | ~spl1_199),
% 4.25/1.01 inference(superposition,[],[f70,f4697])).
% 4.25/1.01 thf(f4697,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c5),c8)) | ~spl1_199),
% 4.25/1.01 inference(avatar_component_clause,[],[f4695])).
% 4.25/1.01 thf(f3866,plain,(
% 4.25/1.01 spl1_8 | spl1_48 | ~spl1_148),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f3865])).
% 4.25/1.01 thf(f3865,plain,(
% 4.25/1.01 $false | (spl1_8 | spl1_48 | ~spl1_148)),
% 4.25/1.01 inference(subsumption_resolution,[],[f3864,f170])).
% 4.25/1.01 thf(f3864,plain,(
% 4.25/1.01 (c1 = c2) | (spl1_48 | ~spl1_148)),
% 4.25/1.01 inference(subsumption_resolution,[],[f3858,f833])).
% 4.25/1.01 thf(f3858,plain,(
% 4.25/1.01 (c8 = c1) | (c1 = c2) | ~spl1_148),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f3851])).
% 4.25/1.01 thf(f3851,plain,(
% 4.25/1.01 ($true != $true) | (c8 = c1) | (c1 = c2) | ~spl1_148),
% 4.25/1.01 inference(superposition,[],[f14,f3838])).
% 4.25/1.01 thf(f3838,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c2),c1)) | ~spl1_148),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f3837])).
% 4.25/1.01 thf(f3837,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c2),c1)) | ~spl1_148),
% 4.25/1.01 inference(superposition,[],[f21,f3634])).
% 4.25/1.01 thf(f3634,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c2),c1)) | ~spl1_148),
% 4.25/1.01 inference(avatar_component_clause,[],[f3632])).
% 4.25/1.01 thf(f3102,plain,(
% 4.25/1.01 spl1_94 | ~spl1_69),
% 4.25/1.01 inference(avatar_split_clause,[],[f3101,f1417,f2181])).
% 4.25/1.01 thf(f3101,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_69),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f3099])).
% 4.25/1.01 thf(f3099,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_69),
% 4.25/1.01 inference(superposition,[],[f81,f1419])).
% 4.25/1.01 thf(f1419,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c8)) | ~spl1_69),
% 4.25/1.01 inference(avatar_component_clause,[],[f1417])).
% 4.25/1.01 thf(f3063,plain,(
% 4.25/1.01 spl1_11 | ~spl1_52),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f3062])).
% 4.25/1.01 thf(f3062,plain,(
% 4.25/1.01 $false | (spl1_11 | ~spl1_52)),
% 4.25/1.01 inference(subsumption_resolution,[],[f3061,f184])).
% 4.25/1.01 thf(f3061,plain,(
% 4.25/1.01 (c1 = c4) | ~spl1_52),
% 4.25/1.01 inference(subsumption_resolution,[],[f3049,f62])).
% 4.25/1.01 thf(f3049,plain,(
% 4.25/1.01 (c8 = c4) | (c1 = c4) | ~spl1_52),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f3044])).
% 4.25/1.01 thf(f3044,plain,(
% 4.25/1.01 ($true != $true) | (c8 = c4) | (c1 = c4) | ~spl1_52),
% 4.25/1.01 inference(superposition,[],[f16,f2998])).
% 4.25/1.01 thf(f2998,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,c5)),c4)) | ~spl1_52),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f2997])).
% 4.25/1.01 thf(f2997,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,c5)),c4)) | ~spl1_52),
% 4.25/1.01 inference(superposition,[],[f21,f929])).
% 4.25/1.01 thf(f929,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c4)) | ~spl1_52),
% 4.25/1.01 inference(avatar_component_clause,[],[f927])).
% 4.25/1.01 thf(f3028,plain,(
% 4.25/1.01 spl1_112 | ~spl1_62 | spl1_111),
% 4.25/1.01 inference(avatar_split_clause,[],[f3027,f2497,f1223,f2501])).
% 4.25/1.01 thf(f3027,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c5)) | (~spl1_62 | spl1_111)),
% 4.25/1.01 inference(subsumption_resolution,[],[f3025,f2498])).
% 4.25/1.01 thf(f3025,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c5)) | (c1 = vAPP($i,$i,s,c5)) | ~spl1_62),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f3016])).
% 4.25/1.01 thf(f3016,plain,(
% 4.25/1.01 ($true != $true) | (c8 = vAPP($i,$i,s,c5)) | (c1 = vAPP($i,$i,s,c5)) | ~spl1_62),
% 4.25/1.01 inference(superposition,[],[f13,f2485])).
% 4.25/1.01 thf(f2485,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,c5)),c1)) | ~spl1_62),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f2484])).
% 4.25/1.01 thf(f2484,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,vAPP($i,$i,s,c5)),c1)) | ~spl1_62),
% 4.25/1.01 inference(superposition,[],[f21,f1225])).
% 4.25/1.01 thf(f1225,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,vAPP($i,$i,s,c5)),c1)) | ~spl1_62),
% 4.25/1.01 inference(avatar_component_clause,[],[f1223])).
% 4.25/1.01 thf(f2878,plain,(
% 4.25/1.01 ~spl1_27 | ~spl1_39 | spl1_47),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f2877])).
% 4.25/1.01 thf(f2877,plain,(
% 4.25/1.01 $false | (~spl1_27 | ~spl1_39 | spl1_47)),
% 4.25/1.01 inference(subsumption_resolution,[],[f2876,f456])).
% 4.25/1.01 thf(f2876,plain,(
% 4.25/1.01 (c3 = c4) | (~spl1_27 | ~spl1_39)),
% 4.25/1.01 inference(backward_demodulation,[],[f333,f417])).
% 4.25/1.01 thf(f2770,plain,(
% 4.25/1.01 ~spl1_18),
% 4.25/1.01 inference(avatar_split_clause,[],[f240,f229])).
% 4.25/1.01 thf(f240,plain,(
% 4.25/1.01 (c5 != c2)),
% 4.25/1.01 inference(superposition,[],[f30,f238])).
% 4.25/1.01 thf(f238,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c8))),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f237])).
% 4.25/1.01 thf(f237,plain,(
% 4.25/1.01 ($true != $true) | (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c8))),
% 4.25/1.01 inference(superposition,[],[f22,f40])).
% 4.25/1.01 thf(f40,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c8),c8))),
% 4.25/1.01 inference(equality_resolution,[],[f39])).
% 4.25/1.01 thf(f39,plain,(
% 4.25/1.01 ( ! [X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X1),c8)) | (c8 != X1)) )),
% 4.25/1.01 inference(equality_resolution,[],[f17])).
% 4.25/1.01 thf(f17,plain,(
% 4.25/1.01 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,X1),X0)) | (c8 != X0) | (c8 != X1)) )),
% 4.25/1.01 inference(cnf_transformation,[],[f11])).
% 4.25/1.01 thf(f2675,plain,(
% 4.25/1.01 spl1_18 | ~spl1_11),
% 4.25/1.01 inference(avatar_split_clause,[],[f2658,f182,f229])).
% 4.25/1.01 thf(f2658,plain,(
% 4.25/1.01 (c5 = c2) | ~spl1_11),
% 4.25/1.01 inference(forward_demodulation,[],[f2625,f35])).
% 4.25/1.01 thf(f2625,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,s,c4)) | ~spl1_11),
% 4.25/1.01 inference(backward_demodulation,[],[f32,f183])).
% 4.25/1.01 thf(f183,plain,(
% 4.25/1.01 (c1 = c4) | ~spl1_11),
% 4.25/1.01 inference(avatar_component_clause,[],[f182])).
% 4.25/1.01 thf(f2583,plain,(
% 4.25/1.01 spl1_11 | ~spl1_49),
% 4.25/1.01 inference(avatar_split_clause,[],[f2571,f836,f182])).
% 4.25/1.01 thf(f2571,plain,(
% 4.25/1.01 (c1 = c4) | ~spl1_49),
% 4.25/1.01 inference(forward_demodulation,[],[f2542,f34])).
% 4.25/1.01 thf(f2542,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c3)) | ~spl1_49),
% 4.25/1.01 inference(backward_demodulation,[],[f31,f838])).
% 4.25/1.01 thf(f838,plain,(
% 4.25/1.01 (c8 = c3) | ~spl1_49),
% 4.25/1.01 inference(avatar_component_clause,[],[f836])).
% 4.25/1.01 thf(f2530,plain,(
% 4.25/1.01 spl1_49 | ~spl1_111),
% 4.25/1.01 inference(avatar_split_clause,[],[f2520,f2497,f836])).
% 4.25/1.01 thf(f2520,plain,(
% 4.25/1.01 (c8 = c3) | ~spl1_111),
% 4.25/1.01 inference(forward_demodulation,[],[f2519,f33])).
% 4.25/1.01 thf(f2519,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c2)) | ~spl1_111),
% 4.25/1.01 inference(forward_demodulation,[],[f2507,f32])).
% 4.25/1.01 thf(f2507,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c1))) | ~spl1_111),
% 4.25/1.01 inference(backward_demodulation,[],[f45,f2499])).
% 4.25/1.01 thf(f2499,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c5)) | ~spl1_111),
% 4.25/1.01 inference(avatar_component_clause,[],[f2497])).
% 4.25/1.01 thf(f2314,plain,(
% 4.25/1.01 ~spl1_25),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f2313])).
% 4.25/1.01 thf(f2313,plain,(
% 4.25/1.01 $false | ~spl1_25),
% 4.25/1.01 inference(subsumption_resolution,[],[f2312,f221])).
% 4.25/1.01 thf(f2312,plain,(
% 4.25/1.01 (c5 = c3) | ~spl1_25),
% 4.25/1.01 inference(forward_demodulation,[],[f2282,f35])).
% 4.25/1.01 thf(f2282,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,s,c4)) | ~spl1_25),
% 4.25/1.01 inference(backward_demodulation,[],[f33,f322])).
% 4.25/1.01 thf(f322,plain,(
% 4.25/1.01 (c2 = c4) | ~spl1_25),
% 4.25/1.01 inference(avatar_component_clause,[],[f321])).
% 4.25/1.01 thf(f2271,plain,(
% 4.25/1.01 spl1_106),
% 4.25/1.01 inference(avatar_split_clause,[],[f238,f2242])).
% 4.25/1.01 thf(f2157,plain,(
% 4.25/1.01 spl1_2 | ~spl1_50),
% 4.25/1.01 inference(avatar_split_clause,[],[f2156,f841,f139])).
% 4.25/1.01 thf(f2156,plain,(
% 4.25/1.01 (c1 = c3) | ~spl1_50),
% 4.25/1.01 inference(forward_demodulation,[],[f2155,f33])).
% 4.25/1.01 thf(f2155,plain,(
% 4.25/1.01 (c1 = vAPP($i,$i,s,c2)) | ~spl1_50),
% 4.25/1.01 inference(forward_demodulation,[],[f31,f843])).
% 4.25/1.01 thf(f843,plain,(
% 4.25/1.01 (c8 = c2) | ~spl1_50),
% 4.25/1.01 inference(avatar_component_clause,[],[f841])).
% 4.25/1.01 thf(f2106,plain,(
% 4.25/1.01 ~spl1_2 | spl1_25),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f2105])).
% 4.25/1.01 thf(f2105,plain,(
% 4.25/1.01 $false | (~spl1_2 | spl1_25)),
% 4.25/1.01 inference(subsumption_resolution,[],[f2104,f323])).
% 4.25/1.01 thf(f2104,plain,(
% 4.25/1.01 (c2 = c4) | ~spl1_2),
% 4.25/1.01 inference(forward_demodulation,[],[f2103,f34])).
% 4.25/1.01 thf(f2103,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,s,c3)) | ~spl1_2),
% 4.25/1.01 inference(forward_demodulation,[],[f32,f140])).
% 4.25/1.01 thf(f140,plain,(
% 4.25/1.01 (c1 = c3) | ~spl1_2),
% 4.25/1.01 inference(avatar_component_clause,[],[f139])).
% 4.25/1.01 thf(f2020,plain,(
% 4.25/1.01 spl1_21 | ~spl1_8),
% 4.25/1.01 inference(avatar_split_clause,[],[f2019,f168,f303])).
% 4.25/1.01 thf(f2019,plain,(
% 4.25/1.01 (c3 = c2) | ~spl1_8),
% 4.25/1.01 inference(forward_demodulation,[],[f2018,f33])).
% 4.25/1.01 thf(f2018,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,s,c2)) | ~spl1_8),
% 4.25/1.01 inference(forward_demodulation,[],[f32,f169])).
% 4.25/1.01 thf(f169,plain,(
% 4.25/1.01 (c1 = c2) | ~spl1_8),
% 4.25/1.01 inference(avatar_component_clause,[],[f168])).
% 4.25/1.01 thf(f1745,plain,(
% 4.25/1.01 ~spl1_47),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f1744])).
% 4.25/1.01 thf(f1744,plain,(
% 4.25/1.01 $false | ~spl1_47),
% 4.25/1.01 inference(subsumption_resolution,[],[f1743,f220])).
% 4.25/1.01 thf(f1743,plain,(
% 4.25/1.01 (c5 = c4) | ~spl1_47),
% 4.25/1.01 inference(forward_demodulation,[],[f1722,f35])).
% 4.25/1.01 thf(f1722,plain,(
% 4.25/1.01 (c4 = vAPP($i,$i,s,c4)) | ~spl1_47),
% 4.25/1.01 inference(backward_demodulation,[],[f34,f455])).
% 4.25/1.01 thf(f455,plain,(
% 4.25/1.01 (c3 = c4) | ~spl1_47),
% 4.25/1.01 inference(avatar_component_clause,[],[f454])).
% 4.25/1.01 thf(f1507,plain,(
% 4.25/1.01 spl1_50 | ~spl1_48),
% 4.25/1.01 inference(avatar_split_clause,[],[f1506,f832,f841])).
% 4.25/1.01 thf(f1506,plain,(
% 4.25/1.01 (c8 = c2) | ~spl1_48),
% 4.25/1.01 inference(backward_demodulation,[],[f1480,f1481])).
% 4.25/1.01 thf(f1481,plain,(
% 4.25/1.01 (vAPP($i,$i,s,c8) = c2) | ~spl1_48),
% 4.25/1.01 inference(backward_demodulation,[],[f32,f834])).
% 4.25/1.01 thf(f834,plain,(
% 4.25/1.01 (c8 = c1) | ~spl1_48),
% 4.25/1.01 inference(avatar_component_clause,[],[f832])).
% 4.25/1.01 thf(f1480,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,c8)) | ~spl1_48),
% 4.25/1.01 inference(backward_demodulation,[],[f31,f834])).
% 4.25/1.01 thf(f1470,plain,(
% 4.25/1.01 spl1_48 | ~spl1_67),
% 4.25/1.01 inference(avatar_split_clause,[],[f1460,f1409,f832])).
% 4.25/1.01 thf(f1460,plain,(
% 4.25/1.01 (c8 = c1) | ~spl1_67),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f1459])).
% 4.25/1.01 thf(f1459,plain,(
% 4.25/1.01 ($true = $false) | (c8 = c1) | ~spl1_67),
% 4.25/1.01 inference(duplicate_literal_removal,[],[f1458])).
% 4.25/1.01 thf(f1458,plain,(
% 4.25/1.01 ($true = $false) | (c8 = c1) | (c8 = c1) | ~spl1_67),
% 4.25/1.01 inference(superposition,[],[f391,f1431])).
% 4.25/1.01 thf(f1431,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c1),c8)) | ~spl1_67),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f1430])).
% 4.25/1.01 thf(f1430,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c1),c8)) | ~spl1_67),
% 4.25/1.01 inference(superposition,[],[f21,f1411])).
% 4.25/1.01 thf(f1411,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c1),c8)) | ~spl1_67),
% 4.25/1.01 inference(avatar_component_clause,[],[f1409])).
% 4.25/1.01 thf(f1055,plain,(
% 4.25/1.01 ~spl1_21 | spl1_47),
% 4.25/1.01 inference(avatar_contradiction_clause,[],[f1054])).
% 4.25/1.01 thf(f1054,plain,(
% 4.25/1.01 $false | (~spl1_21 | spl1_47)),
% 4.25/1.01 inference(subsumption_resolution,[],[f1053,f456])).
% 4.25/1.01 thf(f1053,plain,(
% 4.25/1.01 (c3 = c4) | ~spl1_21),
% 4.25/1.01 inference(forward_demodulation,[],[f1025,f34])).
% 4.25/1.01 thf(f1025,plain,(
% 4.25/1.01 (c3 = vAPP($i,$i,s,c3)) | ~spl1_21),
% 4.25/1.01 inference(backward_demodulation,[],[f33,f304])).
% 4.25/1.01 thf(f304,plain,(
% 4.25/1.01 (c3 = c2) | ~spl1_21),
% 4.25/1.01 inference(avatar_component_clause,[],[f303])).
% 4.25/1.01 thf(f999,plain,(
% 4.25/1.01 spl1_21 | ~spl1_30 | ~spl1_39),
% 4.25/1.01 inference(avatar_split_clause,[],[f996,f415,f345,f303])).
% 4.25/1.01 thf(f996,plain,(
% 4.25/1.01 (c3 = c2) | (~spl1_30 | ~spl1_39)),
% 4.25/1.01 inference(forward_demodulation,[],[f995,f347])).
% 4.25/1.01 thf(f995,plain,(
% 4.25/1.01 (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | ~spl1_39),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f987])).
% 4.25/1.01 thf(f987,plain,(
% 4.25/1.01 (c4 != c4) | (c2 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | ~spl1_39),
% 4.25/1.01 inference(superposition,[],[f77,f417])).
% 4.25/1.01 thf(f850,plain,(
% 4.25/1.01 spl1_48 | spl1_51 | ~spl1_43),
% 4.25/1.01 inference(avatar_split_clause,[],[f826,f438,f847,f832])).
% 4.25/1.01 thf(f826,plain,(
% 4.25/1.01 (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c5))) | (c8 = c1) | ~spl1_43),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f823])).
% 4.25/1.01 thf(f823,plain,(
% 4.25/1.01 ($true != $true) | (c8 = vAPP($i,$i,s,vAPP($i,$i,s,c5))) | (c8 = c1) | ~spl1_43),
% 4.25/1.01 inference(superposition,[],[f14,f774])).
% 4.25/1.01 thf(f774,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_43),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f773])).
% 4.25/1.01 thf(f773,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_43),
% 4.25/1.01 inference(superposition,[],[f21,f440])).
% 4.25/1.01 thf(f440,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),vAPP($i,$i,s,vAPP($i,$i,s,c5)))) | ~spl1_43),
% 4.25/1.01 inference(avatar_component_clause,[],[f438])).
% 4.25/1.01 thf(f845,plain,(
% 4.25/1.01 spl1_48 | ~spl1_35),
% 4.25/1.01 inference(avatar_split_clause,[],[f828,f369,f832])).
% 4.25/1.01 thf(f828,plain,(
% 4.25/1.01 (c8 = c1) | ~spl1_35),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f827])).
% 4.25/1.01 thf(f827,plain,(
% 4.25/1.01 ($true != $true) | (c8 = c1) | ~spl1_35),
% 4.25/1.01 inference(duplicate_literal_removal,[],[f820])).
% 4.25/1.01 thf(f820,plain,(
% 4.25/1.01 ($true != $true) | (c8 = c1) | (c8 = c1) | ~spl1_35),
% 4.25/1.01 inference(superposition,[],[f14,f537])).
% 4.25/1.01 thf(f537,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c8),c1)) | ~spl1_35),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f536])).
% 4.25/1.01 thf(f536,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c8),c1)) | ~spl1_35),
% 4.25/1.01 inference(superposition,[],[f21,f371])).
% 4.25/1.01 thf(f371,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c1)) | ~spl1_35),
% 4.25/1.01 inference(avatar_component_clause,[],[f369])).
% 4.25/1.01 thf(f839,plain,(
% 4.25/1.01 spl1_48 | spl1_49 | ~spl1_29),
% 4.25/1.01 inference(avatar_split_clause,[],[f830,f341,f836,f832])).
% 4.25/1.01 thf(f830,plain,(
% 4.25/1.01 (c8 = c3) | (c8 = c1) | ~spl1_29),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f818])).
% 4.25/1.01 thf(f818,plain,(
% 4.25/1.01 ($true != $true) | (c8 = c3) | (c8 = c1) | ~spl1_29),
% 4.25/1.01 inference(superposition,[],[f14,f501])).
% 4.25/1.01 thf(f501,plain,(
% 4.25/1.01 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c8),c3)) | ~spl1_29),
% 4.25/1.01 inference(trivial_inequality_removal,[],[f500])).
% 4.25/1.01 thf(f500,plain,(
% 4.25/1.01 (c5 != c5) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sP0,c8),c3)) | ~spl1_29),
% 4.25/1.01 inference(superposition,[],[f21,f343])).
% 4.25/1.01 thf(f343,plain,(
% 4.25/1.01 (c5 = vAPP($i,$i,vAPP($i,sTfun($i,$i),g,c8),c3)) | ~spl1_29),
% 4.25/1.01 inference(avatar_component_clause,[],[f341])).
% 4.25/1.01 % SZS output end Proof for theBenchmark
% 4.25/1.01 % (13903)------------------------------
% 4.25/1.01 % (13903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.25/1.01 % (13903)Termination reason: Refutation
% 4.25/1.01
% 4.25/1.01 % (13903)Memory used [KB]: 4777
% 4.25/1.01 % (13903)Time elapsed: 0.607 s
% 4.25/1.01 % (13903)Instructions burned: 2128 (million)
% 4.25/1.01 % (13893)Success in time 0.63 s
%------------------------------------------------------------------------------