0.00/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command    : run_vampire %s %d
0.09/0.31	% Computer   : n003.cluster.edu
0.09/0.31	% Model      : x86_64 x86_64
0.09/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.31	% Memory     : 8042.1875MB
0.09/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.31	% CPULimit   : 960
0.09/0.31	% WCLimit    : 120
0.09/0.31	% DateTime   : Thu Jul  2 09:00:12 EDT 2020
0.09/0.31	% CPUTime    : 
0.16/0.34	% (30180)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=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
0.16/0.34	% (30190)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=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
0.16/0.34	% (30179)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.16/0.34	% (30192)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=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
0.16/0.35	% (30182)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=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
0.16/0.35	% (30181)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.16/0.35	% (30202)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
0.16/0.35	% (30191)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=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
0.16/0.36	% (30183)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=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
0.16/0.36	% (30196)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=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_30 on theBenchmark
0.16/0.36	% (30205)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark
0.16/0.36	% (30194)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
0.16/0.36	% (30195)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark
0.16/0.36	% (30185)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=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
0.16/0.36	% (30201)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
0.16/0.36	% (30184)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=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
0.16/0.36	% (30197)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark
0.16/0.37	% (30193)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=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
0.16/0.37	% (30208)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all: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_50 on theBenchmark
0.16/0.37	% (30186)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.16/0.37	% (30206)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark
0.16/0.37	% (30188)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
0.16/0.37	% (30189)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
0.16/0.37	% (30187)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.16/0.37	% (30207)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark
0.16/0.38	% (30198)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark
0.16/0.38	% (30204)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=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
0.16/0.38	% (30203)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark
0.16/0.38	% (30199)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark
0.16/0.38	% (30200)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
0.16/0.38	% (30193)Refutation not found, incomplete strategy
0.16/0.38	% (30193)------------------------------
0.16/0.38	% (30193)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.16/0.39	% (30193)Termination reason: Refutation not found, incomplete strategy
0.16/0.39	
0.16/0.39	% (30193)Memory used [KB]: 5373
0.16/0.39	% (30193)Time elapsed: 0.048 s
0.16/0.39	% (30193)------------------------------
0.16/0.39	% (30193)------------------------------
0.16/0.45	% (30209)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark
2.00/0.59	% (30181)Refutation found. Thanks to Tanya!
2.00/0.59	% SZS status Theorem for theBenchmark
2.00/0.59	% SZS output start Proof for theBenchmark
2.00/0.59	tff(func_def_0, type, del: '$tType').
2.00/0.59	tff(func_def_4, type, bool: del).
2.00/0.59	tff(func_def_5, type, ind: del).
2.00/0.59	tff(func_def_6, type, ->: ('$tType' * '$tType') > '$tType').
2.00/0.59	tff(func_def_7, type, arr: del -> del -> del).
2.00/0.59	tff(func_def_8, type, mem: '$i' -> del -> '$o').
2.00/0.59	tff(func_def_9, type, ap: '$i' -> '$i' -> '$i').
2.00/0.59	tff(func_def_10, type, lam: del -> ('$i' -> '$i') -> '$i').
2.00/0.59	tff(func_def_11, type, p: '$i' -> '$o').
2.00/0.59	tff(func_def_12, type, inj__o: '$o' -> '$i').
2.00/0.59	tff(func_def_13, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
2.00/0.59	tff(func_def_15, type, c_2Epred__set_2ESUBSET: del -> '$i').
2.00/0.59	tff(func_def_18, type, c_2Ebool_2EIN: del -> '$i').
2.00/0.59	tff(func_def_19, type, c_2Epred__set_2ECHOICE: del -> '$i').
2.00/0.59	tff(func_def_20, type, c_2Epred__set_2EDELETE: del -> '$i').
2.00/0.59	tff(func_def_21, type, c_2Epred__set_2EREST: del -> '$i').
2.00/0.59	tff(func_def_22, type, c_2Emin_2E_3D: del -> '$i').
2.00/0.59	tff(func_def_23, type, c_2Ebool_2E_21: del -> '$i').
2.00/0.59	tff(func_def_24, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
2.00/0.59	tff(func_def_27, type, sK0: del).
2.00/0.59	tff(func_def_29, type, sK2: '$i' -> '$i' -> del -> '$i').
2.00/0.59	tff(func_def_30, type, sK3: '$i' -> '$i' -> del -> '$i').
2.00/0.59	tff(func_def_32, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
2.00/0.59	tff(func_def_33, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
2.00/0.59	tff(func_def_34, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
2.00/0.59	tff(func_def_35, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
2.00/0.59	tff(func_def_36, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
2.00/0.59	tff(f5,axiom,(
2.00/0.59	  ! [X0 : del,X3 : del,X1] : (mem @ X1 @ (arr @ X0 @ X3) => ! [X2] : (mem @ X2 @ X0 => mem @ (ap @ X1 @ X2) @ X3))),
2.00/0.59	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp)).
2.00/0.59	tff(f9,axiom,(
2.00/0.59	  ! [X5 : del,X6] : (mem @ X6 @ (arr @ X5 @ bool) => ap @ (c_2Epred__set_2EREST @ X5) @ X6 = ap @ (ap @ (c_2Epred__set_2EDELETE @ X5) @ X6) @ (ap @ (c_2Epred__set_2ECHOICE @ X5) @ X6))),
2.00/0.59	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF)).
2.00/0.59	tff(f10,axiom,(
2.00/0.59	  ! [X5 : del,X6] : (mem @ X6 @ (arr @ X5 @ bool) => ! [X7] : (mem @ X7 @ (arr @ X5 @ bool) => (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X5) @ X6) @ X7) <=> ! [X8] : (mem @ X8 @ X5 => (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X5) @ X8) @ X6) => p @ (ap @ (ap @ (c_2Ebool_2EIN @ X5) @ X8) @ X7))))))),
2.00/0.59	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Epred__set_2ESUBSET__DEF)).
2.00/0.59	tff(f13,axiom,(
2.00/0.59	  ! [X5 : del,X6] : (mem @ X6 @ (arr @ X5 @ bool) => ! [X9] : (mem @ X9 @ X5 => ! [X10] : (mem @ X10 @ X5 => ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X5) @ X9) @ X6) & X9 != X10) <=> p @ (ap @ (ap @ (c_2Ebool_2EIN @ X5) @ X9) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X5) @ X6) @ X10))))))),
2.00/0.59	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EIN__DELETE)).
2.00/0.59	tff(f17,axiom,(
2.00/0.59	  ! [X5 : del] : mem @ (c_2Epred__set_2EREST @ X5) @ (arr @ (arr @ X5 @ bool) @ (arr @ X5 @ bool))),
2.00/0.59	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2EREST)).
2.13/0.60	tff(f22,conjecture,(
2.13/0.60	  ! [X5 : del,X6] : (mem @ X6 @ (arr @ X5 @ bool) => p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X5) @ (ap @ (c_2Epred__set_2EREST @ X5) @ X6)) @ X6))),
2.13/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET)).
2.13/0.60	tff(f23,negated_conjecture,(
2.13/0.60	  ~! [X5 : del,X6] : (mem @ X6 @ (arr @ X5 @ bool) => p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X5) @ (ap @ (c_2Epred__set_2EREST @ X5) @ X6)) @ X6))),
2.13/0.60	  inference(negated_conjecture,[],[f22])).
2.13/0.60	tff(f24,axiom,(
2.13/0.60	  ! [X5 : del] : mem @ (c_2Epred__set_2ECHOICE @ X5) @ (arr @ (arr @ X5 @ bool) @ X5)),
2.13/0.60	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECHOICE)).
2.13/0.60	tff(f28,plain,(
2.13/0.60	  ~! [X0 : del,X1] : (mem @ X1 @ (arr @ X0 @ bool) => p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1))),
2.13/0.60	  inference(rectify,[],[f23])).
2.13/0.60	tff(f29,plain,(
2.13/0.60	  ~! [X0 : del,X1] : ((mem @ X1 @ (arr @ X0 @ bool) = $true) => (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1) = $true))),
2.13/0.60	  inference(fool_elimination,[],[f28])).
2.13/0.60	tff(f44,plain,(
2.13/0.60	  ! [X0 : del] : mem @ (c_2Epred__set_2ECHOICE @ X0) @ (arr @ (arr @ X0 @ bool) @ X0)),
2.13/0.60	  inference(rectify,[],[f24])).
2.13/0.60	tff(f45,plain,(
2.13/0.60	  ! [X0 : del] : (mem @ (c_2Epred__set_2ECHOICE @ X0) @ (arr @ (arr @ X0 @ bool) @ X0) = $true)),
2.13/0.60	  inference(fool_elimination,[],[f44])).
2.13/0.60	tff(f46,plain,(
2.13/0.60	  ! [X0 : del] : mem @ (c_2Epred__set_2EREST @ X0) @ (arr @ (arr @ X0 @ bool) @ (arr @ X0 @ bool))),
2.13/0.60	  inference(rectify,[],[f17])).
2.13/0.60	tff(f47,plain,(
2.13/0.60	  ! [X0 : del] : (mem @ (c_2Epred__set_2EREST @ X0) @ (arr @ (arr @ X0 @ bool) @ (arr @ X0 @ bool)) = $true)),
2.13/0.60	  inference(fool_elimination,[],[f46])).
2.13/0.60	tff(f56,plain,(
2.13/0.60	  ! [X0 : del,X1] : (mem @ X1 @ (arr @ X0 @ bool) => ap @ (c_2Epred__set_2EREST @ X0) @ X1 = ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1))),
2.13/0.60	  inference(rectify,[],[f9])).
2.13/0.60	tff(f57,plain,(
2.13/0.60	  ! [X0 : del,X1] : ((mem @ X1 @ (arr @ X0 @ bool) = $true) => ap @ (c_2Epred__set_2EREST @ X0) @ X1 = ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1))),
2.13/0.60	  inference(fool_elimination,[],[f56])).
2.13/0.60	tff(f60,plain,(
2.13/0.60	  ! [X0 : del,X1] : (mem @ X1 @ (arr @ X0 @ bool) => ! [X2] : (mem @ X2 @ X0 => ! [X3] : (mem @ X3 @ X0 => ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ X1) & X2 != X3) <=> p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ X3))))))),
2.13/0.60	  inference(rectify,[],[f13])).
2.13/0.60	tff(f61,plain,(
2.13/0.60	  ! [X0 : del,X1] : ((mem @ X1 @ (arr @ X0 @ bool) = $true) => ! [X2] : ((mem @ X2 @ X0 = $true) => ! [X3] : ((mem @ X3 @ X0 = $true) => (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ X1) = $true) & X2 != X3) <=> (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ X3)) = $true)))))),
2.13/0.60	  inference(fool_elimination,[],[f60])).
2.13/0.60	tff(f62,plain,(
2.13/0.60	  ! [X0 : del,X1] : (mem @ X1 @ (arr @ X0 @ bool) => ! [X2] : (mem @ X2 @ (arr @ X0 @ bool) => (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) <=> ! [X3] : (mem @ X3 @ X0 => (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1) => p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2))))))),
2.13/0.60	  inference(rectify,[],[f10])).
2.13/0.60	tff(f63,plain,(
2.13/0.60	  ! [X0 : del,X1] : ((mem @ X1 @ (arr @ X0 @ bool) = $true) => ! [X2] : ((mem @ X2 @ (arr @ X0 @ bool) = $true) => ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) = $true) <=> ! [X3] : ((mem @ X3 @ X0 = $true) => ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1) = $true) => (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2) = $true))))))),
2.13/0.60	  inference(fool_elimination,[],[f62])).
2.13/0.60	tff(f68,plain,(
2.13/0.60	  ! [X0 : del,X1 : del,X2] : (mem @ X2 @ (arr @ X0 @ X1) => ! [X3] : (mem @ X3 @ X0 => mem @ (ap @ X2 @ X3) @ X1))),
2.13/0.60	  inference(rectify,[],[f5])).
2.13/0.60	tff(f69,plain,(
2.13/0.60	  ! [X0 : del,X1 : del,X2] : ((mem @ X2 @ (arr @ X0 @ X1) = $true) => ! [X3] : ((mem @ X3 @ X0 = $true) => (mem @ (ap @ X2 @ X3) @ X1 = $true)))),
2.13/0.60	  inference(fool_elimination,[],[f68])).
2.13/0.60	tff(f78,plain,(
2.13/0.60	  ? [X0 : del,X1] : ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1) != $true) & (mem @ X1 @ (arr @ X0 @ bool) = $true))),
2.13/0.60	  inference(ennf_transformation,[],[f29])).
2.13/0.60	tff(f79,plain,(
2.13/0.60	  ! [X0 : del,X1] : (ap @ (c_2Epred__set_2EREST @ X0) @ X1 = ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) | (mem @ X1 @ (arr @ X0 @ bool) != $true))),
2.13/0.60	  inference(ennf_transformation,[],[f57])).
2.13/0.60	tff(f80,plain,(
2.13/0.60	  ! [X0 : del,X1] : (! [X2] : (((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) = $true) <=> ! [X3] : (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2) = $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1) != $true)) | (mem @ X3 @ X0 != $true))) | (mem @ X2 @ (arr @ X0 @ bool) != $true)) | (mem @ X1 @ (arr @ X0 @ bool) != $true))),
2.13/0.60	  inference(ennf_transformation,[],[f63])).
2.13/0.60	tff(f81,plain,(
2.13/0.60	  ! [X0 : del,X1] : (! [X2] : (((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) = $true) <=> ! [X3] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2) = $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1) != $true) | (mem @ X3 @ X0 != $true))) | (mem @ X2 @ (arr @ X0 @ bool) != $true)) | (mem @ X1 @ (arr @ X0 @ bool) != $true))),
2.13/0.60	  inference(flattening,[],[f80])).
2.13/0.60	tff(f84,plain,(
2.13/0.60	  ! [X0 : del,X1 : del,X2] : (! [X3] : ((mem @ (ap @ X2 @ X3) @ X1 = $true) | (mem @ X3 @ X0 != $true)) | (mem @ X2 @ (arr @ X0 @ X1) != $true))),
2.13/0.60	  inference(ennf_transformation,[],[f69])).
2.13/0.60	tff(f85,plain,(
2.13/0.60	  ! [X0 : del,X1] : (! [X2] : (! [X3] : ((((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ X1) = $true) & X2 != X3) <=> (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ X3)) = $true)) | (mem @ X3 @ X0 != $true)) | (mem @ X2 @ X0 != $true)) | (mem @ X1 @ (arr @ X0 @ bool) != $true))),
2.13/0.60	  inference(ennf_transformation,[],[f61])).
2.13/0.60	tff(f86,plain,(
2.13/0.60	  ? [X0 : del,X1] : ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1) != $true) & (mem @ X1 @ (arr @ X0 @ bool) = $true)) => ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) @ sK1) != $true) & (mem @ sK1 @ (arr @ sK0 @ bool) = $true))),
2.13/0.60	  introduced(choice_axiom,[])).
2.13/0.60	tff(f87,plain,(
2.13/0.60	  (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) @ sK1) != $true) & (mem @ sK1 @ (arr @ sK0 @ bool) = $true)),
2.13/0.60	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f78,f86])).
2.13/0.60	tff(f88,plain,(
2.13/0.60	  ! [X0 : del,X1] : (! [X2] : ((((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) = $true) | ? [X3] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2) != $true) & (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1) = $true) & (mem @ X3 @ X0 = $true))) & (! [X3] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2) = $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1) != $true) | (mem @ X3 @ X0 != $true)) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) != $true))) | (mem @ X2 @ (arr @ X0 @ bool) != $true)) | (mem @ X1 @ (arr @ X0 @ bool) != $true))),
2.13/0.60	  inference(nnf_transformation,[],[f81])).
2.13/0.60	tff(f89,plain,(
2.13/0.60	  ! [X0 : del,X1] : (! [X2] : ((((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) = $true) | ? [X3] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2) != $true) & (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1) = $true) & (mem @ X3 @ X0 = $true))) & (! [X4] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X4) @ X2) = $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X4) @ X1) != $true) | (mem @ X4 @ X0 != $true)) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) != $true))) | (mem @ X2 @ (arr @ X0 @ bool) != $true)) | (mem @ X1 @ (arr @ X0 @ bool) != $true))),
2.13/0.60	  inference(rectify,[],[f88])).
2.13/0.60	tff(f90,plain,(
2.13/0.60	  ! [X2,X1,X0 : del] : (? [X3] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2) != $true) & (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1) = $true) & (mem @ X3 @ X0 = $true)) => ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK2 @ X2 @ X1 @ X0)) @ X2) != $true) & (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK2 @ X2 @ X1 @ X0)) @ X1) = $true) & (mem @ (sK2 @ X2 @ X1 @ X0) @ X0 = $true)))),
2.13/0.60	  introduced(choice_axiom,[])).
2.13/0.60	tff(f91,plain,(
2.13/0.60	  ! [X0 : del,X1] : (! [X2] : ((((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) = $true) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK2 @ X2 @ X1 @ X0)) @ X2) != $true) & (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK2 @ X2 @ X1 @ X0)) @ X1) = $true) & (mem @ (sK2 @ X2 @ X1 @ X0) @ X0 = $true))) & (! [X4] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X4) @ X2) = $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X4) @ X1) != $true) | (mem @ X4 @ X0 != $true)) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) != $true))) | (mem @ X2 @ (arr @ X0 @ bool) != $true)) | (mem @ X1 @ (arr @ X0 @ bool) != $true))),
2.13/0.60	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f89,f90])).
2.13/0.60	tff(f94,plain,(
2.13/0.60	  ! [X0 : del,X1] : (! [X2] : (! [X3] : (((((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ X1) = $true) & X2 != X3) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ X3)) != $true)) & ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ X3)) = $true) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ X1) != $true) | X2 = X3))) | (mem @ X3 @ X0 != $true)) | (mem @ X2 @ X0 != $true)) | (mem @ X1 @ (arr @ X0 @ bool) != $true))),
2.13/0.60	  inference(nnf_transformation,[],[f85])).
2.13/0.61	tff(f95,plain,(
2.13/0.61	  ! [X0 : del,X1] : (! [X2] : (! [X3] : (((((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ X1) = $true) & X2 != X3) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ X3)) != $true)) & ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ X3)) = $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ X1) != $true) | X2 = X3)) | (mem @ X3 @ X0 != $true)) | (mem @ X2 @ X0 != $true)) | (mem @ X1 @ (arr @ X0 @ bool) != $true))),
2.13/0.61	  inference(flattening,[],[f94])).
2.13/0.61	tff(f96,plain,(
2.13/0.61	  (mem @ sK1 @ (arr @ sK0 @ bool) = $true)),
2.13/0.61	  inference(cnf_transformation,[],[f87])).
2.13/0.61	tff(f97,plain,(
2.13/0.61	  (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) @ sK1) != $true)),
2.13/0.61	  inference(cnf_transformation,[],[f87])).
2.13/0.61	tff(f98,plain,(
2.13/0.61	  ( ! [X0:del,X1] : ((mem @ X1 @ (arr @ X0 @ bool) != $true) | ap @ (c_2Epred__set_2EREST @ X0) @ X1 = ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1)) )),
2.13/0.61	  inference(cnf_transformation,[],[f79])).
2.13/0.61	tff(f99,plain,(
2.13/0.61	  ( ! [X0:del] : ((mem @ (c_2Epred__set_2EREST @ X0) @ (arr @ (arr @ X0 @ bool) @ (arr @ X0 @ bool)) = $true)) )),
2.13/0.61	  inference(cnf_transformation,[],[f47])).
2.13/0.61	tff(f101,plain,(
2.13/0.61	  ( ! [X2,X0:del,X1] : ((mem @ X2 @ (arr @ X0 @ bool) != $true) | (mem @ (sK2 @ X2 @ X1 @ X0) @ X0 = $true) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) = $true) | (mem @ X1 @ (arr @ X0 @ bool) != $true)) )),
2.13/0.61	  inference(cnf_transformation,[],[f91])).
2.13/0.61	tff(f102,plain,(
2.13/0.61	  ( ! [X2,X0:del,X1] : ((mem @ X2 @ (arr @ X0 @ bool) != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK2 @ X2 @ X1 @ X0)) @ X1) = $true) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) = $true) | (mem @ X1 @ (arr @ X0 @ bool) != $true)) )),
2.13/0.61	  inference(cnf_transformation,[],[f91])).
2.13/0.61	tff(f103,plain,(
2.13/0.61	  ( ! [X2,X0:del,X1] : ((mem @ X2 @ (arr @ X0 @ bool) != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK2 @ X2 @ X1 @ X0)) @ X2) != $true) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2) = $true) | (mem @ X1 @ (arr @ X0 @ bool) != $true)) )),
2.13/0.61	  inference(cnf_transformation,[],[f91])).
2.13/0.61	tff(f107,plain,(
2.13/0.61	  ( ! [X2,X0:del,X3,X1:del] : ((mem @ X3 @ X0 != $true) | (mem @ (ap @ X2 @ X3) @ X1 = $true) | (mem @ X2 @ (arr @ X0 @ X1) != $true)) )),
2.13/0.61	  inference(cnf_transformation,[],[f84])).
2.13/0.61	tff(f108,plain,(
2.13/0.61	  ( ! [X0:del] : ((mem @ (c_2Epred__set_2ECHOICE @ X0) @ (arr @ (arr @ X0 @ bool) @ X0) = $true)) )),
2.13/0.61	  inference(cnf_transformation,[],[f45])).
2.13/0.61	tff(f111,plain,(
2.13/0.61	  ( ! [X2,X0:del,X3,X1] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ X3)) != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ X1) = $true) | (mem @ X3 @ X0 != $true) | (mem @ X2 @ X0 != $true) | (mem @ X1 @ (arr @ X0 @ bool) != $true)) )),
2.13/0.61	  inference(cnf_transformation,[],[f95])).
2.13/0.61	tff(f118,plain,(
2.13/0.61	  ( ! [X2] : (($true != $true) | (mem @ (sK2 @ sK1 @ X2 @ sK0) @ sK0 = $true) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ X2) @ sK1) = $true) | (mem @ X2 @ (arr @ sK0 @ bool) != $true)) )),
2.13/0.61	  inference(superposition,[],[f101,f96])).
2.13/0.61	tff(f119,plain,(
2.13/0.61	  ( ! [X3] : (($true != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ (sK2 @ sK1 @ X3 @ sK0)) @ X3) = $true) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ X3) @ sK1) = $true) | (mem @ X3 @ (arr @ sK0 @ bool) != $true)) )),
2.13/0.61	  inference(superposition,[],[f102,f96])).
2.13/0.61	tff(f120,plain,(
2.13/0.61	  ( ! [X4] : (($true != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ (sK2 @ sK1 @ X4 @ sK0)) @ sK1) != $true) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ X4) @ sK1) = $true) | (mem @ X4 @ (arr @ sK0 @ bool) != $true)) )),
2.13/0.61	  inference(superposition,[],[f103,f96])).
2.13/0.61	tff(f121,plain,(
2.13/0.61	  ($true != $true) | ap @ (c_2Epred__set_2EREST @ sK0) @ sK1 = ap @ (ap @ (c_2Epred__set_2EDELETE @ sK0) @ sK1) @ (ap @ (c_2Epred__set_2ECHOICE @ sK0) @ sK1)),
2.13/0.61	  inference(superposition,[],[f98,f96])).
2.13/0.61	tff(f123,plain,(
2.13/0.61	  ( ! [X6,X7:del] : (($true != $true) | (mem @ (ap @ X6 @ sK1) @ X7 = $true) | (mem @ X6 @ (arr @ (arr @ sK0 @ bool) @ X7) != $true)) )),
2.13/0.61	  inference(superposition,[],[f107,f96])).
2.13/0.61	tff(f124,plain,(
2.13/0.61	  ( ! [X6,X7:del] : ((mem @ X6 @ (arr @ (arr @ sK0 @ bool) @ X7) != $true) | (mem @ (ap @ X6 @ sK1) @ X7 = $true)) )),
2.13/0.61	  inference(trivial_inequality_removal,[],[f123])).
2.13/0.61	tff(f126,plain,(
2.13/0.61	  ap @ (c_2Epred__set_2EREST @ sK0) @ sK1 = ap @ (ap @ (c_2Epred__set_2EDELETE @ sK0) @ sK1) @ (ap @ (c_2Epred__set_2ECHOICE @ sK0) @ sK1)),
2.13/0.61	  inference(trivial_inequality_removal,[],[f121])).
2.13/0.61	tff(f127,plain,(
2.13/0.61	  ( ! [X4] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ (sK2 @ sK1 @ X4 @ sK0)) @ sK1) != $true) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ X4) @ sK1) = $true) | (mem @ X4 @ (arr @ sK0 @ bool) != $true)) )),
2.13/0.61	  inference(trivial_inequality_removal,[],[f120])).
2.13/0.61	tff(f128,plain,(
2.13/0.61	  ( ! [X3] : ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ X3) @ sK1) = $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ (sK2 @ sK1 @ X3 @ sK0)) @ X3) = $true) | (mem @ X3 @ (arr @ sK0 @ bool) != $true)) )),
2.13/0.61	  inference(trivial_inequality_removal,[],[f119])).
2.13/0.61	tff(f129,plain,(
2.13/0.61	  ( ! [X2] : ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ X2) @ sK1) = $true) | (mem @ (sK2 @ sK1 @ X2 @ sK0) @ sK0 = $true) | (mem @ X2 @ (arr @ sK0 @ bool) != $true)) )),
2.13/0.61	  inference(trivial_inequality_removal,[],[f118])).
2.13/0.61	tff(f131,plain,(
2.13/0.61	  ($true != $true) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) @ sK1) = $false)),
2.13/0.61	  inference(fool_paramodulation,[],[f97])).
2.13/0.61	tff(f132,plain,(
2.13/0.61	  (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) @ sK1) = $false)),
2.13/0.61	  inference(trivial_inequality_removal,[],[f131])).
2.13/0.61	tff(f135,plain,(
2.13/0.61	  ( ! [X0] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ X0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ X0) @ sK1) = $true) | (mem @ (ap @ (c_2Epred__set_2ECHOICE @ sK0) @ sK1) @ sK0 != $true) | (mem @ X0 @ sK0 != $true) | (mem @ sK1 @ (arr @ sK0 @ bool) != $true)) )),
2.13/0.61	  inference(superposition,[],[f111,f126])).
2.13/0.61	tff(f138,plain,(
2.13/0.61	  spl4_0 <=> (mem @ (ap @ (c_2Epred__set_2ECHOICE @ sK0) @ sK1) @ sK0 = $true)),
2.13/0.61	  introduced(avatar_definition,[new_symbols(naming,[spl4_0])])).
2.13/0.61	tff(f141,plain,(
2.13/0.61	  spl4_1 <=> (mem @ (ap @ (c_2Epred__set_2ECHOICE @ sK0) @ sK1) @ sK0 != $true)),
2.13/0.61	  introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
2.13/0.61	tff(f150,plain,(
2.13/0.61	  ( ! [X0] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ X0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ X0) @ sK1) = $true) | (mem @ (ap @ (c_2Epred__set_2ECHOICE @ sK0) @ sK1) @ sK0 != $true) | (mem @ X0 @ sK0 != $true)) )),
2.13/0.61	  inference(subsumption_resolution,[],[f135,f96])).
2.13/0.61	tff(f152,plain,(
2.13/0.61	  spl4_4 <=> ! [X0] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ X0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) != $true) | (mem @ X0 @ sK0 != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ X0) @ sK1) = $true))),
2.13/0.61	  introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
2.13/0.61	tff(f153,plain,(
2.13/0.61	  ( ! [X0] : ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ X0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) != $true) | (mem @ X0 @ sK0 != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ X0) @ sK1) = $true)) ) | ~spl4_4),
2.13/0.61	  inference(avatar_component_clause,[],[f152])).
2.13/0.62	tff(f154,plain,(
2.13/0.62	  ~spl4_1 | spl4_4),
2.13/0.62	  inference(avatar_split_clause,[],[f150,f152,f141])).
2.13/0.62	tff(f160,plain,(
2.13/0.62	  ($true != $true) | (mem @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ (arr @ sK0 @ bool) = $true)),
2.13/0.62	  inference(superposition,[],[f124,f99])).
2.13/0.62	tff(f163,plain,(
2.13/0.62	  ($true != $true) | (mem @ (ap @ (c_2Epred__set_2ECHOICE @ sK0) @ sK1) @ sK0 = $true)),
2.13/0.62	  inference(superposition,[],[f124,f108])).
2.13/0.62	tff(f166,plain,(
2.13/0.62	  (mem @ (ap @ (c_2Epred__set_2ECHOICE @ sK0) @ sK1) @ sK0 = $true)),
2.13/0.62	  inference(trivial_inequality_removal,[],[f163])).
2.13/0.62	tff(f169,plain,(
2.13/0.62	  (mem @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ (arr @ sK0 @ bool) = $true)),
2.13/0.62	  inference(trivial_inequality_removal,[],[f160])).
2.13/0.62	tff(f174,plain,(
2.13/0.62	  spl4_0),
2.13/0.62	  inference(avatar_split_clause,[],[f166,f138])).
2.13/0.62	tff(f273,plain,(
2.13/0.62	  ($false = $true) | (mem @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0) @ sK0 = $true) | (mem @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ (arr @ sK0 @ bool) != $true)),
2.13/0.62	  inference(superposition,[],[f129,f132])).
2.13/0.62	tff(f276,plain,(
2.13/0.62	  (mem @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0) @ sK0 = $true) | (mem @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ (arr @ sK0 @ bool) != $true)),
2.13/0.62	  inference(trivial_inequality_removal,[],[f273])).
2.13/0.62	tff(f277,plain,(
2.13/0.62	  (mem @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0) @ sK0 = $true)),
2.13/0.62	  inference(subsumption_resolution,[],[f276,f169])).
2.13/0.62	tff(f443,plain,(
2.13/0.62	  ($false = $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0)) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) = $true) | (mem @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ (arr @ sK0 @ bool) != $true)),
2.13/0.62	  inference(superposition,[],[f128,f132])).
2.13/0.62	tff(f446,plain,(
2.13/0.62	  (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0)) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) = $true) | (mem @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ (arr @ sK0 @ bool) != $true)),
2.13/0.62	  inference(trivial_inequality_removal,[],[f443])).
2.13/0.62	tff(f447,plain,(
2.13/0.62	  (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0)) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) = $true)),
2.13/0.62	  inference(subsumption_resolution,[],[f446,f169])).
2.13/0.62	tff(f713,plain,(
2.13/0.62	  ($true != $true) | (mem @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0) @ sK0 != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0)) @ sK1) = $true) | ~spl4_4),
2.13/0.62	  inference(superposition,[],[f153,f447])).
2.13/0.62	tff(f714,plain,(
2.13/0.62	  (mem @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0) @ sK0 != $true) | (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0)) @ sK1) = $true) | ~spl4_4),
2.13/0.62	  inference(trivial_inequality_removal,[],[f713])).
2.13/0.62	tff(f716,plain,(
2.13/0.62	  (p @ (ap @ (ap @ (c_2Ebool_2EIN @ sK0) @ (sK2 @ sK1 @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ sK0)) @ sK1) = $true) | ~spl4_4),
2.13/0.62	  inference(subsumption_resolution,[],[f714,f277])).
2.13/0.62	tff(f718,plain,(
2.13/0.62	  ($true != $true) | (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) @ sK1) = $true) | (mem @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ (arr @ sK0 @ bool) != $true) | ~spl4_4),
2.13/0.62	  inference(superposition,[],[f127,f716])).
2.13/0.62	tff(f723,plain,(
2.13/0.62	  (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) @ sK1) = $true) | (mem @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1) @ (arr @ sK0 @ bool) != $true) | ~spl4_4),
2.13/0.62	  inference(trivial_inequality_removal,[],[f718])).
2.13/0.62	tff(f724,plain,(
2.13/0.62	  (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK0) @ (ap @ (c_2Epred__set_2EREST @ sK0) @ sK1)) @ sK1) = $true) | ~spl4_4),
2.13/0.62	  inference(subsumption_resolution,[],[f723,f169])).
2.13/0.62	tff(f725,plain,(
2.13/0.62	  ($false = $true) | ~spl4_4),
2.13/0.62	  inference(forward_demodulation,[],[f724,f132])).
2.13/0.62	tff(f726,plain,(
2.13/0.62	  $false | ~spl4_4),
2.13/0.62	  inference(trivial_inequality_removal,[],[f725])).
2.13/0.62	tff(f727,plain,(
2.13/0.62	  ~spl4_4),
2.13/0.62	  inference(avatar_contradiction_clause,[],[f726])).
2.13/0.62	tff(f730,plain,(
2.13/0.62	  $false),
2.13/0.62	  inference(avatar_sat_refutation,[],[f154,f174,f727])).
2.13/0.62	% SZS output end Proof for theBenchmark
2.13/0.62	% (30181)------------------------------
2.13/0.62	% (30181)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
2.13/0.62	% (30181)Termination reason: Refutation
2.13/0.62	
2.13/0.62	% (30181)Memory used [KB]: 11001
2.13/0.62	% (30181)Time elapsed: 0.253 s
2.13/0.62	% (30181)------------------------------
2.13/0.62	% (30181)------------------------------
2.13/0.62	% (30178)Success in time 0.303 s
2.13/0.62	EOF