0.06/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.12/0.33	% Computer : n007.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 960
0.12/0.33	% WCLimit    : 120
0.12/0.33	% DateTime   : Tue Aug  9 04:59:42 EDT 2022
0.12/0.33	% CPUTime    : 
0.12/0.33	This is a THF_ problem
0.12/0.33	Running vampire --ignore_missing on --mode portfolio --schedule casc_hol_2020 -p tptp -om szs --cores 8 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.12/0.34	% (15298)Running in auto input_syntax mode. Trying TPTP
0.18/0.41	% (15305)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark
0.18/0.41	% (15304)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark
0.18/0.41	% (15300)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.18/0.41	% (15306)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.18/0.41	% (15302)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark
0.18/0.41	% (15303)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.18/0.42	% (15299)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.18/0.43	% (15306)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.43	% (15303)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.43	% (15305)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.43	% (15301)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.18/0.48	% (15301)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
3.93/0.89	% (15299)Time limit reached!
3.93/0.89	% (15299)------------------------------
3.93/0.89	% (15299)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
3.93/0.89	% (15299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
3.93/0.89	% (15299)Termination reason: Time limit
3.93/0.89	% (15299)Termination phase: Saturation
3.93/0.89	
3.93/0.89	% (15299)Memory used [KB]: 4477
3.93/0.89	% (15299)Time elapsed: 0.500 s
3.93/0.89	% (15299)------------------------------
3.93/0.89	% (15299)------------------------------
3.93/0.91	% (15300)Time limit reached!
3.93/0.91	% (15300)------------------------------
3.93/0.91	% (15300)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
3.93/0.91	% (15300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
3.93/0.91	% (15300)Termination reason: Time limit
3.93/0.91	% (15300)Termination phase: Saturation
3.93/0.91	
3.93/0.91	% (15300)Memory used [KB]: 14967
3.93/0.91	% (15300)Time elapsed: 0.500 s
3.93/0.91	% (15302)Time limit reached!
3.93/0.91	% (15302)------------------------------
3.93/0.91	% (15302)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
3.93/0.91	% (15302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
3.93/0.91	% (15302)Termination reason: Time limit
3.93/0.91	% (15302)Termination phase: Saturation
3.93/0.91	
3.93/0.91	% (15302)Memory used [KB]: 16119
3.93/0.91	% (15302)Time elapsed: 0.500 s
3.93/0.91	% (15302)------------------------------
3.93/0.91	% (15302)------------------------------
3.93/0.91	% (15300)------------------------------
3.93/0.91	% (15300)------------------------------
4.43/0.95	% (15307)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=on:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
4.43/0.97	% (15309)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark
4.43/0.97	% (15308)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=on:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
4.59/0.98	% (15307)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
4.59/0.99	% (15301)Time limit reached!
4.59/0.99	% (15301)------------------------------
4.59/0.99	% (15301)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.59/0.99	% (15301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.59/0.99	% (15301)Termination reason: Time limit
4.59/0.99	% (15301)Termination phase: Saturation
4.59/0.99	
4.59/0.99	% (15301)Memory used [KB]: 15863
4.59/0.99	% (15301)Time elapsed: 0.600 s
4.59/0.99	% (15301)------------------------------
4.59/0.99	% (15301)------------------------------
4.59/0.99	% (15308)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
4.59/1.00	% (15308)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
4.59/1.01	% (15305)Time limit reached!
4.59/1.01	% (15305)------------------------------
4.59/1.01	% (15305)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.59/1.01	% (15305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.59/1.01	% (15305)Termination reason: Time limit
4.59/1.01	% (15305)Termination phase: Saturation
4.59/1.01	
4.59/1.01	% (15305)Memory used [KB]: 17398
4.59/1.01	% (15305)Time elapsed: 0.600 s
4.59/1.01	% (15305)------------------------------
4.59/1.01	% (15305)------------------------------
4.84/1.05	% (15310)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark
4.84/1.07	% (15311)dis+1002_6_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark
9.24/1.55	% (15310)Time limit reached!
9.24/1.55	% (15310)------------------------------
9.24/1.55	% (15310)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
9.24/1.55	% (15310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
9.24/1.55	% (15310)Termination reason: Time limit
9.24/1.55	% (15310)Termination phase: Saturation
9.24/1.55	
9.24/1.55	% (15310)Memory used [KB]: 14711
9.24/1.55	% (15310)Time elapsed: 0.500 s
9.24/1.55	% (15310)------------------------------
9.24/1.55	% (15310)------------------------------
9.24/1.57	% (15308)Time limit reached!
9.24/1.57	% (15308)------------------------------
9.24/1.57	% (15308)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
9.24/1.57	% (15308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
9.24/1.57	% (15308)Termination reason: Time limit
9.24/1.57	% (15308)Termination phase: Saturation
9.24/1.57	
9.24/1.57	% (15308)Memory used [KB]: 18421
9.24/1.57	% (15308)Time elapsed: 0.600 s
9.24/1.57	% (15308)------------------------------
9.24/1.57	% (15308)------------------------------
9.24/1.57	% (15311)Time limit reached!
9.24/1.57	% (15311)------------------------------
9.24/1.57	% (15311)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
9.24/1.57	% (15311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
9.24/1.57	% (15311)Termination reason: Time limit
9.24/1.57	% (15311)Termination phase: Saturation
9.24/1.57	
9.24/1.57	% (15311)Memory used [KB]: 7803
9.24/1.57	% (15311)Time elapsed: 0.500 s
9.24/1.57	% (15311)------------------------------
9.24/1.57	% (15311)------------------------------
9.24/1.61	% (15312)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
9.24/1.63	% (15313)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark
9.24/1.63	% (15312)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
9.24/1.63	% (15314)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=none:gsp=on:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
9.84/1.66	% (15314)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
9.84/1.69	% (15313)First to succeed.
9.84/1.70	% (15313)Refutation found. Thanks to Tanya!
9.84/1.70	% SZS status Theorem for theBenchmark
9.84/1.70	% SZS output start Proof for theBenchmark
9.84/1.70	thf(type_def_5, type, real: $tType).
9.84/1.70	thf(type_def_6, type, set_real: $tType).
9.84/1.70	thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
9.84/1.70	thf(type_def_8, type, a: $tType).
9.84/1.70	thf(type_def_9, type, set_a: $tType).
9.84/1.70	thf(func_def_0, type, set_real: $tType).
9.84/1.70	thf(func_def_1, type, set_a: $tType).
9.84/1.70	thf(func_def_2, type, real: $tType).
9.84/1.70	thf(func_def_3, type, a: $tType).
9.84/1.70	thf(func_def_4, type, elemen341675809l_real: real > real > set_real).
9.84/1.70	thf(func_def_5, type, elemen154694473ball_a: a > real > set_a).
9.84/1.70	thf(func_def_6, type, auto_l612940ivl0_a: (a > a) > set_a > a > set_real).
9.84/1.70	thf(func_def_7, type, auto_ll_on_flow0_a: (a > a) > set_a > a > real > a).
9.84/1.70	thf(func_def_8, type, abs_abs_real: real > real).
9.84/1.70	thf(func_def_9, type, abs_abs_a: a > a).
9.84/1.70	thf(func_def_10, type, one_one_real: real).
9.84/1.70	thf(func_def_11, type, plus_plus_real: real > real > real).
9.84/1.70	thf(func_def_12, type, plus_plus_a: a > a > a).
9.84/1.70	thf(func_def_13, type, uminus_uminus_a_a: (a > a) > a > a).
9.84/1.70	thf(func_def_14, type, uminus_uminus_real: real > real).
9.84/1.70	thf(func_def_15, type, uminus_uminus_a: a > a).
9.84/1.70	thf(func_def_16, type, zero_zero_real: real).
9.84/1.70	thf(func_def_17, type, zero_zero_a: a).
9.84/1.70	thf(func_def_18, type, if_real: $o > real > real > real).
9.84/1.70	thf(func_def_19, type, initia826609931terval: set_real > $o).
9.84/1.70	thf(func_def_20, type, limit_1865182413oint_a: (a > a) > set_a > a > a > $o).
9.84/1.70	thf(func_def_21, type, limit_94460170oint_a: (a > a) > set_a > a > a > $o).
9.84/1.70	thf(func_def_22, type, line_open_segment_a: a > a > set_a).
9.84/1.70	thf(func_def_23, type, bot_bot_set_real: set_real).
9.84/1.70	thf(func_def_24, type, bot_bot_set_a: set_a).
9.84/1.70	thf(func_def_25, type, ord_less_real: real > real > $o).
9.84/1.70	thf(func_def_26, type, ord_less_a: a > a > $o).
9.84/1.70	thf(func_def_27, type, ord_less_eq_real: real > real > $o).
9.84/1.70	thf(func_def_28, type, ord_less_eq_a: a > a > $o).
9.84/1.70	thf(func_def_29, type, top_top_set_real: set_real).
9.84/1.70	thf(func_def_30, type, period720806154rbit_a: (a > a) > set_a > a > $o).
9.84/1.70	thf(func_def_31, type, period1305449585riod_a: (a > a) > set_a > a > real).
9.84/1.70	thf(func_def_32, type, period138238489rbit_a: (a > a) > set_a > a > $o).
9.84/1.70	thf(func_def_33, type, poinca522724647ment_a: (a > a) > set_a > a > a > $o).
9.84/1.70	thf(func_def_34, type, collect_real: (real > $o) > set_real).
9.84/1.70	thf(func_def_35, type, collect_a: (a > $o) > set_a).
9.84/1.70	thf(func_def_36, type, topolo1710226732a_real: set_a > (a > real) > $o).
9.84/1.70	thf(func_def_37, type, member_real: real > set_real > $o).
9.84/1.70	thf(func_def_38, type, member_a: a > set_a > $o).
9.84/1.70	thf(func_def_39, type, x: set_a).
9.84/1.70	thf(func_def_40, type, a2: a).
9.84/1.70	thf(func_def_41, type, b: a).
9.84/1.70	thf(func_def_42, type, f: a > a).
9.84/1.70	thf(func_def_43, type, p: a).
9.84/1.70	thf(func_def_45, type, x2: a).
9.84/1.70	thf(func_def_47, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
9.84/1.70	thf(func_def_50, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
9.84/1.70	thf(func_def_51, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
9.84/1.70	thf(func_def_52, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
9.84/1.70	thf(func_def_53, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
9.84/1.70	thf(func_def_54, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
9.84/1.70	thf(func_def_55, type, vOR: $o > $o > $o).
9.84/1.70	thf(func_def_56, type, vNOT: $o > $o).
9.84/1.70	thf(func_def_57, type, vAND: $o > $o > $o).
9.84/1.70	thf(func_def_58, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
9.84/1.70	thf(func_def_59, type, sP0: a > a > real > real > a > $o).
9.84/1.70	thf(func_def_60, type, sK1: (a > real) > real > a).
9.84/1.70	thf(func_def_61, type, sK2: (a > real) > real > a).
9.84/1.70	thf(func_def_62, type, sK3: (a > real) > real > a).
9.84/1.70	thf(func_def_63, type, sK4: (a > real) > real > a).
9.84/1.70	thf(func_def_64, type, sK5: real).
9.84/1.70	thf(func_def_65, type, sK6: a > real).
9.84/1.70	thf(func_def_66, type, sK7: a > a).
9.84/1.70	thf(func_def_67, type, sK8: a > a).
9.84/1.70	thf(func_def_68, type, sK9: a > a).
9.84/1.70	thf(func_def_69, type, sK10: a > a).
9.84/1.70	thf(func_def_70, type, sK11: a > a > real > real > a > a > real).
9.84/1.70	thf(func_def_71, type, sK12: real > a > a > a > real).
9.84/1.70	thf(func_def_75, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
9.84/1.70	thf(f1331,plain,(
9.84/1.70	  $false),
9.84/1.70	  inference(global_subsumption,[],[f1315,f1330])).
9.84/1.70	thf(f1330,plain,(
9.84/1.70	  ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real))),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1329])).
9.84/1.70	thf(f1329,plain,(
9.84/1.70	  ($true != $true) | ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real))),
9.84/1.70	  inference(forward_demodulation,[],[f1328,f959])).
9.84/1.70	thf(f959,plain,(
9.84/1.70	  ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6))),
9.84/1.70	  inference(cnf_transformation,[],[f933])).
9.84/1.70	thf(f933,plain,(
9.84/1.70	  ((zero_zero_real = vAPP(a,real,sK6,p)) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6)) & ! [X2 : a] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,X2))),one_one_real)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) & ! [X3 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,sK6,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6))) & ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),sK5))),
9.84/1.70	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f930,f932,f931])).
9.84/1.70	thf(f931,plain,(
9.84/1.70	  ? [X0 : real] : (? [X1 : a > real] : ((zero_zero_real = vAPP(a,real,X1,p)) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) & ! [X2 : a] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X2))),one_one_real)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) & ! [X3 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,X1,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1))) & (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) = $true)) => (? [X1 : a > real] : ((zero_zero_real = vAPP(a,real,X1,p)) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),X1)) & ! [X2 : a] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X2))),one_one_real)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) & ! [X3 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,X1,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),X1))) & ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),sK5)))),
9.84/1.70	  introduced(choice_axiom,[])).
9.84/1.70	thf(f932,plain,(
9.84/1.70	  ? [X1 : a > real] : ((zero_zero_real = vAPP(a,real,X1,p)) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),X1)) & ! [X2 : a] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X2))),one_one_real)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) & ! [X3 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,X1,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),X1))) => ((zero_zero_real = vAPP(a,real,sK6,p)) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6)) & ! [X2 : a] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,X2))),one_one_real)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) & ! [X3 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,sK6,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6)))),
9.84/1.70	  introduced(choice_axiom,[])).
9.84/1.70	thf(f930,plain,(
9.84/1.70	  ? [X0 : real] : (? [X1 : a > real] : ((zero_zero_real = vAPP(a,real,X1,p)) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) & ! [X2 : a] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X2))),one_one_real)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) & ! [X3 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,X1,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1))) & (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) = $true))),
9.84/1.70	  inference(rectify,[],[f812])).
9.84/1.70	thf(f812,plain,(
9.84/1.70	  ? [X0 : real] : (? [X1 : a > real] : ((zero_zero_real = vAPP(a,real,X1,p)) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) & ! [X3 : a] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X3))),one_one_real)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) & ! [X2 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X2),vAPP(a,real,X1,X2))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1))) & (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) = $true))),
9.84/1.70	  inference(flattening,[],[f811])).
9.84/1.70	thf(f811,plain,(
9.84/1.70	  ? [X0 : real] : (? [X1 : a > real] : (((((zero_zero_real = vAPP(a,real,X1,p)) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1))) & ! [X3 : a] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X3))),one_one_real)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))))) & ! [X2 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X2),vAPP(a,real,X1,X2))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))))) & ($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1))) & (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) = $true))),
9.84/1.70	  inference(ennf_transformation,[],[f367])).
9.84/1.70	thf(f367,plain,(
9.84/1.70	  ~! [X0 : real] : ((vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) = $true) => ! [X1 : a > real] : (($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) => (! [X2 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) => ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X2),vAPP(a,real,X1,X2))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b)))) => (! [X3 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) => ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X3))),one_one_real))) => (($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) => (zero_zero_real != vAPP(a,real,X1,p)))))))),
9.84/1.70	  inference(fool_elimination,[],[f366])).
9.84/1.70	thf(f366,plain,(
9.84/1.70	  ~! [X0 : real] : (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) => ! [X1 : a > real] : (vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1) => (! [X2 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)) => vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X2),vAPP(a,real,X1,X2))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) => (! [X3 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)) => vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X3))),one_one_real)) => (vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1) => (zero_zero_real != vAPP(a,real,X1,p)))))))),
9.84/1.70	  inference(rectify,[],[f190])).
9.84/1.70	thf(f190,axiom,(
9.84/1.70	  ~! [X34 : real] : (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X34) => ! [X35 : a > real] : (vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X34)),X35) => (! [X36 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X36),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X34)) => vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X36),vAPP(a,real,X35,X36))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) => (! [X36 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X36),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X34)) => vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X35,X36))),one_one_real)) => (vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X34)),X35) => (zero_zero_real != vAPP(a,real,X35,p)))))))),
9.84/1.70	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
9.84/1.70	thf(f1328,plain,(
9.84/1.70	  ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6))),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1325])).
9.84/1.70	thf(f1325,plain,(
9.84/1.70	  ($true != $true) | ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | (vAPP(a,real,sK6,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6))),
9.84/1.70	  inference(superposition,[],[f1324,f1258])).
9.84/1.70	thf(f1258,plain,(
9.84/1.70	  ( ! [X0 : a > real] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X0),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5))) | ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X0),sK5)))),one_one_real)) | (vAPP(a,real,sK6,p) != vAPP(a,real,X0,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),X0))) )),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1257])).
9.84/1.70	thf(f1257,plain,(
9.84/1.70	  ( ! [X0 : a > real] : (($true != $true) | ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X0),sK5)))),one_one_real)) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X0),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5))) | (vAPP(a,real,sK6,p) != vAPP(a,real,X0,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),X0))) )),
9.84/1.70	  inference(forward_demodulation,[],[f1256,f1160])).
9.84/1.70	thf(f1160,plain,(
9.84/1.70	  ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5))),
9.84/1.70	  inference(definition_unfolding,[],[f955,f960])).
9.84/1.70	thf(f960,plain,(
9.84/1.70	  (zero_zero_real = vAPP(a,real,sK6,p))),
9.84/1.70	  inference(cnf_transformation,[],[f933])).
9.84/1.70	thf(f955,plain,(
9.84/1.70	  ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),sK5))),
9.84/1.70	  inference(cnf_transformation,[],[f933])).
9.84/1.70	thf(f1256,plain,(
9.84/1.70	  ( ! [X0 : a > real] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X0),sK5)))),one_one_real)) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X0),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5))) | (vAPP(a,real,sK6,p) != vAPP(a,real,X0,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),X0)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5))) )),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1255])).
9.84/1.70	thf(f1255,plain,(
9.84/1.70	  ( ! [X0 : a > real] : (($true != $true) | ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X0),sK5)))),one_one_real)) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X0),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5))) | (vAPP(a,real,sK6,p) != vAPP(a,real,X0,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),X0)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5))) )),
9.84/1.70	  inference(superposition,[],[f958,f1248])).
9.84/1.70	thf(f1248,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | (vAPP(a,real,X1,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0))) )),
9.84/1.70	  inference(global_subsumption,[],[f944,f1155])).
9.84/1.70	thf(f1155,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | (vAPP(a,real,X1,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0))) )),
9.84/1.70	  inference(definition_unfolding,[],[f945,f960,f960])).
9.84/1.70	thf(f945,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | (zero_zero_real != vAPP(a,real,X1,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) != $true)) )),
9.84/1.70	  inference(cnf_transformation,[],[f925])).
9.84/1.70	thf(f925,plain,(
9.84/1.70	  ! [X0 : real,X1 : a > real] : ((thesisa = $true) | (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) | (($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)))),one_one_real)) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) | (zero_zero_real != vAPP(a,real,X1,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) != $true))),
9.84/1.70	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f922,f924,f923])).
9.84/1.70	thf(f923,plain,(
9.84/1.70	  ! [X0 : real,X1 : a > real] : (? [X2 : a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X2),vAPP(a,real,X1,X2))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) => (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))))),
9.84/1.70	  introduced(choice_axiom,[])).
9.84/1.70	thf(f924,plain,(
9.84/1.70	  ! [X0 : real,X1 : a > real] : (? [X3 : a] : (($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X3))),one_one_real)) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) => (($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)))),one_one_real)) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))))),
9.84/1.70	  introduced(choice_axiom,[])).
9.84/1.70	thf(f922,plain,(
9.84/1.70	  ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ? [X2 : a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X2),vAPP(a,real,X1,X2))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) | ? [X3 : a] : (($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X3))),one_one_real)) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) | (zero_zero_real != vAPP(a,real,X1,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) != $true))),
9.84/1.70	  inference(rectify,[],[f808])).
9.84/1.70	thf(f808,plain,(
9.84/1.70	  ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ? [X3 : a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,X1,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) | ? [X2 : a] : (($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X2))),one_one_real)) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)))) | (zero_zero_real != vAPP(a,real,X1,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) != $true))),
9.84/1.70	  inference(flattening,[],[f807])).
9.84/1.70	thf(f807,plain,(
9.84/1.70	  ! [X0 : real,X1 : a > real] : ((((((thesisa = $true) | ? [X3 : a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,X1,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))))) | ? [X2 : a] : (($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X2))),one_one_real)) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))))) | (zero_zero_real != vAPP(a,real,X1,p))) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1))) | (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) != $true))),
9.84/1.70	  inference(ennf_transformation,[],[f355])).
9.84/1.70	thf(f355,plain,(
9.84/1.70	  ! [X0 : real,X1 : a > real] : ((vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) = $true) => (($true = vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) => ((zero_zero_real = vAPP(a,real,X1,p)) => (! [X2 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) => ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X2))),one_one_real))) => (! [X3 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) => ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,X1,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b)))) => (thesisa = $true))))))),
9.84/1.70	  inference(fool_elimination,[],[f354])).
9.84/1.70	thf(f354,plain,(
9.84/1.70	  ! [X0 : real,X1 : a > real] : (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) => (vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1) => ((zero_zero_real = vAPP(a,real,X1,p)) => (! [X2 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)) => vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,X2))),one_one_real)) => (! [X3 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)) => vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,X1,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) => thesisa)))))),
9.84/1.70	  inference(rectify,[],[f127])).
9.84/1.70	thf(f127,axiom,(
9.84/1.70	  ! [X31 : real,X32 : a > real] : (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X31) => (vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X31)),X32) => ((zero_zero_real = vAPP(a,real,X32,p)) => (! [X33 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X33),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X31)) => vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X32,X33))),one_one_real)) => (! [X33 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X33),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X31)) => vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X33),vAPP(a,real,X32,X33))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) => thesisa)))))),
9.84/1.70	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
9.84/1.70	thf(f944,plain,(
9.84/1.70	  (thesisa != $true)),
9.84/1.70	  inference(cnf_transformation,[],[f765])).
9.84/1.70	thf(f765,plain,(
9.84/1.70	  (thesisa != $true)),
9.84/1.70	  inference(flattening,[],[f353])).
9.84/1.70	thf(f353,plain,(
9.84/1.70	  ~(thesisa = $true)),
9.84/1.70	  inference(fool_elimination,[],[f352])).
9.84/1.70	thf(f352,plain,(
9.84/1.70	  ~thesisa),
9.84/1.70	  inference(rectify,[],[f212])).
9.84/1.70	thf(f212,negated_conjecture,(
9.84/1.70	  ~thesisa),
9.84/1.70	  inference(negated_conjecture,[],[f211])).
9.84/1.70	thf(f211,conjecture,(
9.84/1.70	  thesisa),
9.84/1.70	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
9.84/1.70	thf(f958,plain,(
9.84/1.70	  ( ! [X2 : a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5))) | ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,X2))),one_one_real))) )),
9.84/1.70	  inference(cnf_transformation,[],[f933])).
9.84/1.70	thf(f1324,plain,(
9.84/1.70	  ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))),
9.84/1.70	  inference(global_subsumption,[],[f1315,f1323])).
9.84/1.70	thf(f1323,plain,(
9.84/1.70	  ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1322])).
9.84/1.70	thf(f1322,plain,(
9.84/1.70	  ($true != $true) | ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))),
9.84/1.70	  inference(forward_demodulation,[],[f1321,f1160])).
9.84/1.70	thf(f1321,plain,(
9.84/1.70	  ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1320])).
9.84/1.70	thf(f1320,plain,(
9.84/1.70	  ($true != $true) | ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))),
9.84/1.70	  inference(forward_demodulation,[],[f1319,f959])).
9.84/1.70	thf(f1319,plain,(
9.84/1.70	  ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1318])).
9.84/1.70	thf(f1318,plain,(
9.84/1.70	  ($true != $true) | ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),sK5)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))),
9.84/1.70	  inference(superposition,[],[f958,f1299])).
9.84/1.70	thf(f1299,plain,(
9.84/1.70	  ( ! [X0 : real] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),sK6)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) )),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1294])).
9.84/1.70	thf(f1294,plain,(
9.84/1.70	  ( ! [X0 : real] : (($true != $true) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | (vAPP(a,real,sK6,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),sK6)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) )),
9.84/1.70	  inference(superposition,[],[f1246,f957])).
9.84/1.70	thf(f957,plain,(
9.84/1.70	  ( ! [X3 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),X3),vAPP(a,real,sK6,X3))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X3),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) )),
9.84/1.70	  inference(cnf_transformation,[],[f933])).
9.84/1.70	thf(f1246,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | (vAPP(a,real,X1,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0))) )),
9.84/1.70	  inference(global_subsumption,[],[f944,f1153])).
9.84/1.70	thf(f1153,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | (vAPP(a,real,X1,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0))) )),
9.84/1.70	  inference(definition_unfolding,[],[f947,f960,f960])).
9.84/1.70	thf(f947,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | (zero_zero_real != vAPP(a,real,X1,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) != $true)) )),
9.84/1.70	  inference(cnf_transformation,[],[f925])).
9.84/1.70	thf(f1315,plain,(
9.84/1.70	  ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real))),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1314])).
9.84/1.70	thf(f1314,plain,(
9.84/1.70	  ($true != $true) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real))),
9.84/1.70	  inference(forward_demodulation,[],[f1313,f1160])).
9.84/1.70	thf(f1313,plain,(
9.84/1.70	  ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real))),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1312])).
9.84/1.70	thf(f1312,plain,(
9.84/1.70	  ($true != $true) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real))),
9.84/1.70	  inference(forward_demodulation,[],[f1311,f959])).
9.84/1.70	thf(f1311,plain,(
9.84/1.70	  ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real))),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1310])).
9.84/1.70	thf(f1310,plain,(
9.84/1.70	  ($true != $true) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | (vAPP(a,real,sK6,p) != vAPP(a,real,sK6,p))),
9.84/1.70	  inference(duplicate_literal_removal,[],[f1307])).
9.84/1.70	thf(f1307,plain,(
9.84/1.70	  ($true != $true) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),sK5)))),one_one_real)) | (vAPP(a,real,sK6,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)),sK6)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),sK5))),
9.84/1.70	  inference(superposition,[],[f1282,f1247])).
9.84/1.70	thf(f1247,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)))),one_one_real)) | (vAPP(a,real,X1,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0))) )),
9.84/1.70	  inference(global_subsumption,[],[f944,f1154])).
9.84/1.70	thf(f1154,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)))),one_one_real)) | (vAPP(a,real,X1,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0))) )),
9.84/1.70	  inference(definition_unfolding,[],[f946,f960,f960])).
9.84/1.70	thf(f946,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0))) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)))),one_one_real)) | (zero_zero_real != vAPP(a,real,X1,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) != $true)) )),
9.84/1.70	  inference(cnf_transformation,[],[f925])).
9.84/1.70	thf(f1282,plain,(
9.84/1.70	  ( ! [X0 : real] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5))) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),sK6)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),X0)))),one_one_real))) )),
9.84/1.70	  inference(trivial_inequality_removal,[],[f1277])).
9.84/1.70	thf(f1277,plain,(
9.84/1.70	  ( ! [X0 : real] : (($true != $true) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,sK6,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,sK6),X0)))),one_one_real)) | (vAPP(a,real,sK6,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),sK6)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,sK6),X0)),vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),sK5)))) )),
9.84/1.70	  inference(superposition,[],[f1245,f957])).
9.84/1.70	thf(f1245,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)))),one_one_real)) | (vAPP(a,real,X1,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0))) )),
9.84/1.70	  inference(global_subsumption,[],[f944,f1152])).
9.84/1.70	thf(f1152,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)))),one_one_real)) | (vAPP(a,real,X1,p) != vAPP(a,real,sK6,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(a,real,sK6,p)),X0))) )),
9.84/1.70	  inference(definition_unfolding,[],[f948,f960,f960])).
9.84/1.70	thf(f948,plain,(
9.84/1.70	  ( ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(real,a,vAPP(a,sTfun(real,a),vAPP(set_a,sTfun(a,sTfun(real,a)),vAPP(sTfun(a,a),sTfun(set_a,sTfun(a,sTfun(real,a))),auto_ll_on_flow0_a,f),x),vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)),vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK1,X1),X0)))),vAPP(a,set_a,vAPP(a,sTfun(a,set_a),line_open_segment_a,a2),b))) | ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,vAPP(real,real,abs_abs_real,vAPP(a,real,X1,vAPP(real,a,vAPP(sTfun(a,real),sTfun(real,a),sK2,X1),X0)))),one_one_real)) | (zero_zero_real != vAPP(a,real,X1,p)) | ($true != vAPP(sTfun(a,real),$o,vAPP(set_a,sTfun(sTfun(a,real),$o),topolo1710226732a_real,vAPP(real,set_a,vAPP(a,sTfun(real,set_a),elemen154694473ball_a,p),X0)),X1)) | (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),X0) != $true)) )),
9.84/1.70	  inference(cnf_transformation,[],[f925])).
9.84/1.70	% SZS output end Proof for theBenchmark
9.84/1.70	% (15313)------------------------------
9.84/1.70	% (15313)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
9.84/1.70	% (15313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
9.84/1.70	% (15313)Termination reason: Refutation
9.84/1.70	
9.84/1.70	% (15313)Memory used [KB]: 7419
9.84/1.70	% (15313)Time elapsed: 0.071 s
9.84/1.70	% (15313)------------------------------
9.84/1.70	% (15313)------------------------------
9.84/1.70	% (15298)Success in time 1.356 s
9.84/1.70	EOF