0.00/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command    : run_vampire %s %d
0.09/0.30	% Computer   : n008.cluster.edu
0.09/0.30	% Model      : x86_64 x86_64
0.09/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory     : 8042.1875MB
0.09/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 1200
0.09/0.30	% WCLimit    : 120
0.09/0.30	% DateTime   : Tue Jul 13 15:25:14 EDT 2021
0.09/0.30	% CPUTime    : 
0.09/0.30	This is a THF_ problem
0.09/0.31	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.09/0.31	Running in auto input_syntax mode. Trying TPTP
0.15/0.35	% (14723)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:thsq=on_32 on theBenchmark
0.15/0.36	% (14718)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=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:thsq=on_3 on theBenchmark
0.15/0.36	% (14721)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:thsq=on_14 on theBenchmark
0.15/0.36	% (14720)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:thsq=on_13 on theBenchmark
0.15/0.36	% (14725)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=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1:thsq=on_3 on theBenchmark
0.15/0.36	% (14719)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:thsq=on_2 on theBenchmark
0.15/0.36	% (14724)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark
0.15/0.36	% (14738)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on:thsq=on_8 on theBenchmark
0.15/0.36	% (14723)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.37	% (14730)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:thsq=on_1 on theBenchmark
0.15/0.37	% (14739)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:cases=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:thsq=on_50 on theBenchmark
0.15/0.37	% (14731)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=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:thsq=on_7 on theBenchmark
0.15/0.38	% (14722)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:thsq=on_3 on theBenchmark
0.15/0.38	% (14717)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:thsq=on_2 on theBenchmark
0.15/0.38	% (14742)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:cases=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:thsq=on_300 on theBenchmark
0.15/0.38	% (14716)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:thsq=on_2 on theBenchmark
0.15/0.38	% (14744)dis+1002_4_add=large:csup=on:inj=on:chr=on:cases=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
0.15/0.38	% (14745)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:cases=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:thsq=on_50 on theBenchmark
0.15/0.38	% (14735)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:cases=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:thsq=on_8 on theBenchmark
0.15/0.38	% (14739)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.38	% (14720)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.38	% (14725)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.39	% (14722)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.39	% (14737)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_30 on theBenchmark
0.15/0.39	% (14734)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:cases=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:thsq=on_6 on theBenchmark
0.15/0.39	% (14741)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:cases=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:thsq=on_13 on theBenchmark
0.15/0.39	% (14736)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:cases=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:thsq=on_41 on theBenchmark
0.15/0.39	% (14740)lrs+1011_5_add=large:csup=on:inj=on:chr=on:cases=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:thsq=on_130 on theBenchmark
0.15/0.40	% (14727)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:thsq=on_2 on theBenchmark
0.15/0.40	% (14738)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.15/0.40	% (14726)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:thsq=on_40 on theBenchmark
0.15/0.40	% (14733)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=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:thsq=on_30 on theBenchmark
0.15/0.40	% (14728)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:thsq=on_2 on theBenchmark
0.15/0.40	% (14732)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:cases=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:thsq=on_300 on theBenchmark
0.15/0.40	% (14729)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:thsq=on_9 on theBenchmark
0.15/0.40	% (14743)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:cases=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_186 on theBenchmark
0.15/0.40	% (14733)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.41	% (14731)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.15/0.41	% (14718)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.15/0.41	% (14724)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.15/0.42	% (14725)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.15/0.42	% (14741)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.42	% (14740)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.43	% (14732)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.43	% (14729)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.44	% (14735)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.15/0.46	% (14732)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.15/0.48	% (14730)Refutation not found, incomplete strategy% (14730)------------------------------
0.15/0.48	% (14730)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.15/0.48	% (14730)Termination reason: Refutation not found, incomplete strategy
0.15/0.48	
0.15/0.48	% (14730)Memory used [KB]: 6908
0.15/0.48	% (14730)Time elapsed: 0.120 s
0.15/0.48	% (14730)------------------------------
0.15/0.48	% (14730)------------------------------
0.15/0.55	% (14746)dis+1011_10_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence:thsq=on_75 on theBenchmark
3.77/0.81	% (14740)First to succeed.
3.77/0.84	% (14740)Refutation found. Thanks to Tanya!
3.77/0.84	% SZS status Theorem for theBenchmark
3.77/0.84	% SZS output start Proof for theBenchmark
3.77/0.84	thf(type_def_6, type, del: $tType).
3.77/0.84	thf(func_def_7, type, bool: del).
3.77/0.84	thf(func_def_8, type, ind: del).
3.77/0.84	thf(type_def_9, type, >: ($tType * $tType) > $tType).
3.77/0.84	thf(func_def_10, type, arr: del > del > del).
3.77/0.84	thf(func_def_11, type, mem: $i > del > $o).
3.77/0.84	thf(func_def_12, type, ap: $i > $i > $i).
3.77/0.84	thf(func_def_13, type, lam: del > ($i > $i) > $i).
3.77/0.84	thf(func_def_14, type, p: $i > $o).
3.77/0.84	thf(func_def_15, type, inj__o: $o > $i).
3.77/0.84	thf(func_def_18, type, c_2EquantHeuristics_2EGUESS__FORALL__GAP: del > del > $i).
3.77/0.84	thf(func_def_19, type, c_2EquantHeuristics_2EGUESS__EXISTS__GAP: del > del > $i).
3.77/0.84	thf(func_def_20, type, c_2EquantHeuristics_2EGUESS__FORALL__POINT: del > del > $i).
3.77/0.84	thf(func_def_21, type, c_2EquantHeuristics_2EGUESS__EXISTS__POINT: del > del > $i).
3.77/0.84	thf(func_def_22, type, c_2EquantHeuristics_2EGUESS__FORALL: del > del > $i).
3.77/0.84	thf(func_def_23, type, c_2Ebool_2E_3F: del > $i).
3.77/0.84	thf(func_def_24, type, c_2EquantHeuristics_2EGUESS__EXISTS: del > del > $i).
3.77/0.84	thf(func_def_28, type, c_2Emin_2E_3D: del > $i).
3.77/0.84	thf(func_def_31, type, c_2Ebool_2E_21: del > $i).
3.77/0.84	thf(func_def_32, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
3.77/0.84	thf(func_def_35, type, sP0: $i > $i > $i > $o).
3.77/0.84	thf(func_def_36, type, sK1: del).
3.77/0.84	thf(func_def_37, type, sK2: del).
3.77/0.84	thf(func_def_41, type, sK6: $i > $i > del > del > $i).
3.77/0.84	thf(func_def_42, type, sK7: $i > $i > del > $i).
3.77/0.84	thf(func_def_43, type, sK8: $i > $i > del > del > $i).
3.77/0.84	thf(func_def_44, type, sK9: $i > $i > del > $i).
3.77/0.84	thf(func_def_45, type, sK10: $i > $i > del > $i).
3.77/0.84	thf(func_def_46, type, sK11: $i > $i > del > del > $i).
3.77/0.84	thf(func_def_47, type, sK12: $i > $i > del > $i).
3.77/0.84	thf(func_def_48, type, sK13: $i > $i > del > del > $i).
3.77/0.84	thf(func_def_49, type, sK14: $i > $i > del > $i).
3.77/0.84	thf(func_def_50, type, sK15: $i > $i > del > $i).
3.77/0.84	thf(func_def_51, type, sK16: $i > $i > del > $i).
3.77/0.84	thf(func_def_53, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
3.77/0.84	thf(func_def_54, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
3.77/0.84	thf(func_def_55, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
3.77/0.84	thf(func_def_56, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
3.77/0.84	thf(func_def_57, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
3.77/0.84	thf(f973,plain,(
3.77/0.84	  $false),
3.77/0.84	  inference(unit_resulting_resolution,[],[f813,f805,f812,f254])).
3.77/0.84	thf(f254,plain,(
3.77/0.84	  ( ! [X5 : $i] : (($true != ((mem @ X5) @ sK1)) | ($true != (p @ ((ap @ sK5) @ X5))) | ($true = (p @ ((ap @ sK4) @ X5)))) )),
3.77/0.84	  inference(cnf_transformation,[],[f208])).
3.77/0.84	thf(f208,plain,(
3.77/0.84	  ((($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ sK5))) & ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ sK4))) & ! [X5] : (($true = (p @ ((ap @ sK4) @ X5))) | ($true != (p @ ((ap @ sK5) @ X5))) | ($true != ((mem @ X5) @ sK1))) & ($true = ((mem @ sK5) @ ((arr @ sK1) @ bool)))) & ($true = ((mem @ sK4) @ ((arr @ sK1) @ bool)))) & ($true = ((mem @ sK3) @ ((arr @ sK2) @ sK1)))),
3.77/0.84	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f174,f207,f206,f205])).
3.77/0.84	thf(f205,plain,(
3.77/0.84	  ? [X0 : del,X1 : del,X2] : (? [X3] : (? [X4] : (($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1) @ X0)) @ X2)) @ X4))) & ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1) @ X0)) @ X2)) @ X3))) & ! [X5] : (($true = (p @ ((ap @ X3) @ X5))) | ($true != (p @ ((ap @ X4) @ X5))) | ($true != ((mem @ X5) @ X0))) & ($true = ((mem @ X4) @ ((arr @ X0) @ bool)))) & ($true = ((mem @ X3) @ ((arr @ X0) @ bool)))) & ($true = ((mem @ X2) @ ((arr @ X1) @ X0)))) => (? [X3] : (? [X4] : (($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ X4))) & ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ X3))) & ! [X5] : (($true = (p @ ((ap @ X3) @ X5))) | ($true != (p @ ((ap @ X4) @ X5))) | ($true != ((mem @ X5) @ sK1))) & ($true = ((mem @ X4) @ ((arr @ sK1) @ bool)))) & ($true = ((mem @ X3) @ ((arr @ sK1) @ bool)))) & ($true = ((mem @ sK3) @ ((arr @ sK2) @ sK1))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f206,plain,(
3.77/0.84	  ? [X3] : (? [X4] : (($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ X4))) & ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ X3))) & ! [X5] : (($true = (p @ ((ap @ X3) @ X5))) | ($true != (p @ ((ap @ X4) @ X5))) | ($true != ((mem @ X5) @ sK1))) & ($true = ((mem @ X4) @ ((arr @ sK1) @ bool)))) & ($true = ((mem @ X3) @ ((arr @ sK1) @ bool)))) => (? [X4] : (($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ X4))) & ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ sK4))) & ! [X5] : (($true = (p @ ((ap @ sK4) @ X5))) | ($true != (p @ ((ap @ X4) @ X5))) | ($true != ((mem @ X5) @ sK1))) & ($true = ((mem @ X4) @ ((arr @ sK1) @ bool)))) & ($true = ((mem @ sK4) @ ((arr @ sK1) @ bool))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f207,plain,(
3.77/0.84	  ? [X4] : (($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ X4))) & ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ sK4))) & ! [X5] : (($true = (p @ ((ap @ sK4) @ X5))) | ($true != (p @ ((ap @ X4) @ X5))) | ($true != ((mem @ X5) @ sK1))) & ($true = ((mem @ X4) @ ((arr @ sK1) @ bool)))) => (($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ sK5))) & ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ sK4))) & ! [X5] : (($true = (p @ ((ap @ sK4) @ X5))) | ($true != (p @ ((ap @ sK5) @ X5))) | ($true != ((mem @ X5) @ sK1))) & ($true = ((mem @ sK5) @ ((arr @ sK1) @ bool))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f174,plain,(
3.77/0.84	  ? [X0 : del,X1 : del,X2] : (? [X3] : (? [X4] : (($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1) @ X0)) @ X2)) @ X4))) & ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1) @ X0)) @ X2)) @ X3))) & ! [X5] : (($true = (p @ ((ap @ X3) @ X5))) | ($true != (p @ ((ap @ X4) @ X5))) | ($true != ((mem @ X5) @ X0))) & ($true = ((mem @ X4) @ ((arr @ X0) @ bool)))) & ($true = ((mem @ X3) @ ((arr @ X0) @ bool)))) & ($true = ((mem @ X2) @ ((arr @ X1) @ X0))))),
3.77/0.84	  inference(flattening,[],[f173])).
3.77/0.84	thf(f173,plain,(
3.77/0.84	  ? [X0 : del,X1 : del,X2] : (? [X3] : (? [X4] : (((($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1) @ X0)) @ X2)) @ X4))) & ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1) @ X0)) @ X2)) @ X3)))) & ! [X5] : ((($true = (p @ ((ap @ X3) @ X5))) | ($true != (p @ ((ap @ X4) @ X5)))) | ($true != ((mem @ X5) @ X0)))) & ($true = ((mem @ X4) @ ((arr @ X0) @ bool)))) & ($true = ((mem @ X3) @ ((arr @ X0) @ bool)))) & ($true = ((mem @ X2) @ ((arr @ X1) @ X0))))),
3.77/0.84	  inference(ennf_transformation,[],[f55])).
3.77/0.84	thf(f55,plain,(
3.77/0.84	  ~! [X0 : del,X1 : del,X2] : (($true = ((mem @ X2) @ ((arr @ X1) @ X0))) => ! [X3] : (($true = ((mem @ X3) @ ((arr @ X0) @ bool))) => ! [X4] : (($true = ((mem @ X4) @ ((arr @ X0) @ bool))) => (! [X5] : (($true = ((mem @ X5) @ X0)) => (($true = (p @ ((ap @ X4) @ X5))) => ($true = (p @ ((ap @ X3) @ X5))))) => (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1) @ X0)) @ X2)) @ X3))) => ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1) @ X0)) @ X2)) @ X4))))))))),
3.77/0.84	  inference(fool_elimination,[],[f54])).
3.77/0.84	thf(f54,plain,(
3.77/0.84	  ~! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X1) @ X0)) => ! [X3] : (((mem @ X3) @ ((arr @ X0) @ bool)) => ! [X4] : (((mem @ X4) @ ((arr @ X0) @ bool)) => (! [X5] : (((mem @ X5) @ X0) => ((p @ ((ap @ X4) @ X5)) => (p @ ((ap @ X3) @ X5)))) => ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1) @ X0)) @ X2)) @ X3)) => (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1) @ X0)) @ X2)) @ X4)))))))),
3.77/0.84	  inference(rectify,[],[f30])).
3.77/0.84	thf(f30,negated_conjecture,(
3.77/0.84	  ~! [X5 : del,X7 : del,X11] : (((mem @ X11) @ ((arr @ X7) @ X5)) => ! [X12] : (((mem @ X12) @ ((arr @ X5) @ bool)) => ! [X40] : (((mem @ X40) @ ((arr @ X5) @ bool)) => (! [X41] : (((mem @ X41) @ X5) => ((p @ ((ap @ X40) @ X41)) => (p @ ((ap @ X12) @ X41)))) => ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X7) @ X5)) @ X11)) @ X12)) => (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X7) @ X5)) @ X11)) @ X40)))))))),
3.77/0.84	  inference(negated_conjecture,[],[f29])).
3.77/0.84	thf(f29,conjecture,(
3.77/0.84	  ! [X5 : del,X7 : del,X11] : (((mem @ X11) @ ((arr @ X7) @ X5)) => ! [X12] : (((mem @ X12) @ ((arr @ X5) @ bool)) => ! [X40] : (((mem @ X40) @ ((arr @ X5) @ bool)) => (! [X41] : (((mem @ X41) @ X5) => ((p @ ((ap @ X40) @ X41)) => (p @ ((ap @ X12) @ X41)))) => ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X7) @ X5)) @ X11)) @ X12)) => (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X7) @ X5)) @ X11)) @ X40)))))))),
3.77/0.84	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT)).
3.77/0.84	thf(f812,plain,(
3.77/0.84	  ($true != (p @ ((ap @ sK4) @ ((ap @ sK3) @ (((sK15 @ sK5) @ sK3) @ sK2)))))),
3.77/0.84	  inference(unit_resulting_resolution,[],[f251,f253,f251,f252,f255,f803,f259])).
3.77/0.84	thf(f259,plain,(
3.77/0.84	  ( ! [X30 : $i,X28 : $i,X2 : $i,X0 : del,X29 : $i,X3 : $i,X1 : del] : (($true != ((mem @ X30) @ X0)) | ($true != (p @ ((ap @ X29) @ ((ap @ X28) @ X30)))) | ($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0) @ X1)) @ X28)) @ X29))) | ($true != ((mem @ X29) @ ((arr @ X1) @ bool))) | ($true != ((mem @ X28) @ ((arr @ X0) @ X1))) | ($true != ((mem @ X3) @ ((arr @ X1) @ bool))) | (((mem @ X2) @ ((arr @ X0) @ X1)) != $true)) )),
3.77/0.84	  inference(cnf_transformation,[],[f222])).
3.77/0.84	thf(f222,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X2] : (! [X3] : (((($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS @ X0) @ X1)) @ X2)) @ X3))) | (! [X5] : (($true != (p @ ((ap @ X3) @ ((ap @ X2) @ X5)))) | ($true != ((mem @ X5) @ X0))) & ($true = (p @ ((ap @ X3) @ ((((sK6 @ X3) @ X2) @ X1) @ X0)))) & ($true = ((mem @ ((((sK6 @ X3) @ X2) @ X1) @ X0)) @ X1)))) & (! [X6] : ((($true = (p @ ((ap @ X3) @ ((ap @ X2) @ (((sK7 @ X3) @ X2) @ X0))))) & ($true = ((mem @ (((sK7 @ X3) @ X2) @ X0)) @ X0))) | ($true != (p @ ((ap @ X3) @ X6))) | ($true != ((mem @ X6) @ X1))) | ($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS @ X0) @ X1)) @ X2)) @ X3)))) & (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL @ X0) @ X1)) @ X2)) @ X3))) | (! [X9] : (($true != ((mem @ X9) @ X0)) | ($true = (p @ ((ap @ X3) @ ((ap @ X2) @ X9))))) & ($true != (p @ ((ap @ X3) @ ((((sK8 @ X3) @ X2) @ X1) @ X0)))) & ($true = ((mem @ ((((sK8 @ X3) @ X2) @ X1) @ X0)) @ X1)))) & (! [X10] : ((($true = ((mem @ (((sK9 @ X3) @ X2) @ X0)) @ X0)) & ($true != (p @ ((ap @ X3) @ ((ap @ X2) @ (((sK9 @ X3) @ X2) @ X0)))))) | ($true = (p @ ((ap @ X3) @ X10))) | ($true != ((mem @ X10) @ X1))) | ($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL @ X0) @ X1)) @ X2)) @ X3)))) & ! [X12] : (! [X13] : (((($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ X0) @ X1)) @ X12)) @ X13))) | (($true != (p @ ((ap @ X13) @ ((ap @ X12) @ (((sK10 @ X13) @ X12) @ X0))))) & ($true = ((mem @ (((sK10 @ X13) @ X12) @ X0)) @ X0)))) & (! [X15] : (($true = (p @ ((ap @ X13) @ ((ap @ X12) @ X15)))) | ($true != ((mem @ X15) @ X0))) | ($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ X0) @ X1)) @ X12)) @ X13))))) | ($true != ((mem @ X13) @ ((arr @ X1) @ bool)))) | ($true != ((mem @ X12) @ ((arr @ X0) @ X1)))) & ! [X16] : (! [X17] : (((($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ X0) @ X1)) @ X16)) @ X17))) | (! [X19] : ((((ap @ X16) @ X19) != ((((sK11 @ X17) @ X16) @ X1) @ X0)) | ($true != ((mem @ X19) @ X0))) & ($true = (p @ ((ap @ X17) @ ((((sK11 @ X17) @ X16) @ X1) @ X0)))) & ($true = ((mem @ ((((sK11 @ X17) @ X16) @ X1) @ X0)) @ X1)))) & (! [X20] : (((((ap @ X16) @ (((sK12 @ X20) @ X16) @ X0)) = X20) & ($true = ((mem @ (((sK12 @ X20) @ X16) @ X0)) @ X0))) | ($true != (p @ ((ap @ X17) @ X20))) | ($true != ((mem @ X20) @ X1))) | ($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ X0) @ X1)) @ X16)) @ X17))))) | ($true != ((mem @ X17) @ ((arr @ X1) @ bool)))) | ($true != ((mem @ X16) @ ((arr @ X0) @ X1)))) & ! [X22] : (! [X23] : (((($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__GAP @ X0) @ X1)) @ X22)) @ X23))) | (! [X25] : (($true != ((mem @ X25) @ X0)) | (((ap @ X22) @ X25) != ((((sK13 @ X23) @ X22) @ X1) @ X0))) & ($true != (p @ ((ap @ X23) @ ((((sK13 @ X23) @ X22) @ X1) @ X0)))) & ($true = ((mem @ ((((sK13 @ X23) @ X22) @ X1) @ X0)) @ X1)))) & (! [X26] : ((($true = ((mem @ (((sK14 @ X26) @ X22) @ X0)) @ X0)) & (((ap @ X22) @ (((sK14 @ X26) @ X22) @ X0)) = X26)) | ($true = (p @ ((ap @ X23) @ X26))) | ($true != ((mem @ X26) @ X1))) | ($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__GAP @ X0) @ X1)) @ X22)) @ X23))))) | ($true != ((mem @ X23) @ ((arr @ X1) @ bool)))) | ($true != ((mem @ X22) @ ((arr @ X0) @ X1)))) & ! [X28] : (! [X29] : (((! [X30] : (($true != (p @ ((ap @ X29) @ ((ap @ X28) @ X30)))) | ($true != ((mem @ X30) @ X0))) | ($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0) @ X1)) @ X28)) @ X29)))) & (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0) @ X1)) @ X28)) @ X29))) | (($true = (p @ ((ap @ X29) @ ((ap @ X28) @ (((sK15 @ X29) @ X28) @ X0))))) & ($true = ((mem @ (((sK15 @ X29) @ X28) @ X0)) @ X0))))) | ($true != ((mem @ X29) @ ((arr @ X1) @ bool)))) | ($true != ((mem @ X28) @ ((arr @ X0) @ X1))))) | ($true != ((mem @ X3) @ ((arr @ X1) @ bool)))) | (((mem @ X2) @ ((arr @ X0) @ X1)) != $true))),
3.77/0.84	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15])],[f211,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212])).
3.77/0.84	thf(f212,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X2,X3] : (? [X4] : (! [X5] : (($true != (p @ ((ap @ X3) @ ((ap @ X2) @ X5)))) | ($true != ((mem @ X5) @ X0))) & ($true = (p @ ((ap @ X3) @ X4))) & ($true = ((mem @ X4) @ X1))) => (! [X5] : (($true != (p @ ((ap @ X3) @ ((ap @ X2) @ X5)))) | ($true != ((mem @ X5) @ X0))) & ($true = (p @ ((ap @ X3) @ ((((sK6 @ X3) @ X2) @ X1) @ X0)))) & ($true = ((mem @ ((((sK6 @ X3) @ X2) @ X1) @ X0)) @ X1))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f213,plain,(
3.77/0.84	  ! [X0 : del,X2,X3] : (? [X7] : (($true = (p @ ((ap @ X3) @ ((ap @ X2) @ X7)))) & ($true = ((mem @ X7) @ X0))) => (($true = (p @ ((ap @ X3) @ ((ap @ X2) @ (((sK7 @ X3) @ X2) @ X0))))) & ($true = ((mem @ (((sK7 @ X3) @ X2) @ X0)) @ X0))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f214,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X2,X3] : (? [X8] : (! [X9] : (($true != ((mem @ X9) @ X0)) | ($true = (p @ ((ap @ X3) @ ((ap @ X2) @ X9))))) & ($true != (p @ ((ap @ X3) @ X8))) & ($true = ((mem @ X8) @ X1))) => (! [X9] : (($true != ((mem @ X9) @ X0)) | ($true = (p @ ((ap @ X3) @ ((ap @ X2) @ X9))))) & ($true != (p @ ((ap @ X3) @ ((((sK8 @ X3) @ X2) @ X1) @ X0)))) & ($true = ((mem @ ((((sK8 @ X3) @ X2) @ X1) @ X0)) @ X1))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f215,plain,(
3.77/0.84	  ! [X0 : del,X2,X3] : (? [X11] : (($true = ((mem @ X11) @ X0)) & ($true != (p @ ((ap @ X3) @ ((ap @ X2) @ X11))))) => (($true = ((mem @ (((sK9 @ X3) @ X2) @ X0)) @ X0)) & ($true != (p @ ((ap @ X3) @ ((ap @ X2) @ (((sK9 @ X3) @ X2) @ X0)))))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f216,plain,(
3.77/0.84	  ! [X0 : del,X12,X13] : (? [X14] : (($true != (p @ ((ap @ X13) @ ((ap @ X12) @ X14)))) & ($true = ((mem @ X14) @ X0))) => (($true != (p @ ((ap @ X13) @ ((ap @ X12) @ (((sK10 @ X13) @ X12) @ X0))))) & ($true = ((mem @ (((sK10 @ X13) @ X12) @ X0)) @ X0))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f217,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X16,X17] : (? [X18] : (! [X19] : ((((ap @ X16) @ X19) != X18) | ($true != ((mem @ X19) @ X0))) & ((p @ ((ap @ X17) @ X18)) = $true) & ($true = ((mem @ X18) @ X1))) => (! [X19] : ((((ap @ X16) @ X19) != ((((sK11 @ X17) @ X16) @ X1) @ X0)) | ($true != ((mem @ X19) @ X0))) & ($true = (p @ ((ap @ X17) @ ((((sK11 @ X17) @ X16) @ X1) @ X0)))) & ($true = ((mem @ ((((sK11 @ X17) @ X16) @ X1) @ X0)) @ X1))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f218,plain,(
3.77/0.84	  ! [X0 : del,X16,X20] : (? [X21] : ((((ap @ X16) @ X21) = X20) & ($true = ((mem @ X21) @ X0))) => ((((ap @ X16) @ (((sK12 @ X20) @ X16) @ X0)) = X20) & ($true = ((mem @ (((sK12 @ X20) @ X16) @ X0)) @ X0))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f219,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X22,X23] : (? [X24] : (! [X25] : (($true != ((mem @ X25) @ X0)) | (((ap @ X22) @ X25) != X24)) & ($true != (p @ ((ap @ X23) @ X24))) & ($true = ((mem @ X24) @ X1))) => (! [X25] : (($true != ((mem @ X25) @ X0)) | (((ap @ X22) @ X25) != ((((sK13 @ X23) @ X22) @ X1) @ X0))) & ($true != (p @ ((ap @ X23) @ ((((sK13 @ X23) @ X22) @ X1) @ X0)))) & ($true = ((mem @ ((((sK13 @ X23) @ X22) @ X1) @ X0)) @ X1))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f220,plain,(
3.77/0.84	  ! [X0 : del,X22,X26] : (? [X27] : (($true = ((mem @ X27) @ X0)) & (((ap @ X22) @ X27) = X26)) => (($true = ((mem @ (((sK14 @ X26) @ X22) @ X0)) @ X0)) & (((ap @ X22) @ (((sK14 @ X26) @ X22) @ X0)) = X26)))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f221,plain,(
3.77/0.84	  ! [X0 : del,X28,X29] : (? [X31] : (($true = (p @ ((ap @ X29) @ ((ap @ X28) @ X31)))) & ($true = ((mem @ X31) @ X0))) => (($true = (p @ ((ap @ X29) @ ((ap @ X28) @ (((sK15 @ X29) @ X28) @ X0))))) & ($true = ((mem @ (((sK15 @ X29) @ X28) @ X0)) @ X0))))),
3.77/0.84	  introduced(choice_axiom,[])).
3.77/0.84	thf(f211,plain,(
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3.77/0.84	  inference(rectify,[],[f210])).
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3.77/0.84	  inference(flattening,[],[f209])).
3.77/0.84	thf(f209,plain,(
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3.77/0.84	  inference(nnf_transformation,[],[f176])).
3.77/0.84	thf(f176,plain,(
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3.77/0.84	  inference(flattening,[],[f175])).
3.77/0.84	thf(f175,plain,(
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3.77/0.84	  inference(ennf_transformation,[],[f152])).
3.77/0.84	thf(f152,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X2] : ((((mem @ X2) @ ((arr @ X0) @ X1)) = $true) => ! [X3] : (($true = ((mem @ X3) @ ((arr @ X1) @ bool))) => ((($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS @ X0) @ X1)) @ X2)) @ X3))) <=> ! [X4] : (($true = ((mem @ X4) @ X1)) => (($true = (p @ ((ap @ X3) @ X4))) => ? [X5] : (($true = (p @ ((ap @ X3) @ ((ap @ X2) @ X5)))) & ($true = ((mem @ X5) @ X0)))))) & (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL @ X0) @ X1)) @ X2)) @ X3))) <=> ! [X6] : (($true = ((mem @ X6) @ X1)) => (($true != (p @ ((ap @ X3) @ X6))) => ? [X7] : (($true = ((mem @ X7) @ X0)) & ($true != (p @ ((ap @ X3) @ ((ap @ X2) @ X7)))))))) & ! [X8] : (($true = ((mem @ X8) @ ((arr @ X0) @ X1))) => ! [X9] : (($true = ((mem @ X9) @ ((arr @ X1) @ bool))) => (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ X0) @ X1)) @ X8)) @ X9))) <=> ! [X10] : (($true = ((mem @ X10) @ X0)) => ($true = (p @ ((ap @ X9) @ ((ap @ X8) @ X10)))))))) & ! [X11] : (($true = ((mem @ X11) @ ((arr @ X0) @ X1))) => ! [X12] : (($true = ((mem @ X12) @ ((arr @ X1) @ bool))) => (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ X0) @ X1)) @ X11)) @ X12))) <=> ! [X13] : (($true = ((mem @ X13) @ X1)) => (($true = (p @ ((ap @ X12) @ X13))) => ? [X14] : ((((ap @ X11) @ X14) = X13) & ($true = ((mem @ X14) @ X0)))))))) & ! [X15] : (($true = ((mem @ X15) @ ((arr @ X0) @ X1))) => ! [X16] : (($true = ((mem @ X16) @ ((arr @ X1) @ bool))) => (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__GAP @ X0) @ X1)) @ X15)) @ X16))) <=> ! [X17] : (($true = ((mem @ X17) @ X1)) => (($true != (p @ ((ap @ X16) @ X17))) => ? [X18] : (($true = ((mem @ X18) @ X0)) & (((ap @ X15) @ X18) = X17))))))) & ! [X19] : (($true = ((mem @ X19) @ ((arr @ X0) @ X1))) => ! [X20] : (($true = ((mem @ X20) @ ((arr @ X1) @ bool))) => (! [X21] : (($true = ((mem @ X21) @ X0)) => ($true != (p @ ((ap @ X20) @ ((ap @ X19) @ X21))))) <=> ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0) @ X1)) @ X19)) @ X20)))))))))),
3.77/0.84	  inference(flattening,[],[f135])).
3.77/0.84	thf(f135,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X2] : ((((mem @ X2) @ ((arr @ X0) @ X1)) = $true) => ! [X3] : (($true = ((mem @ X3) @ ((arr @ X1) @ bool))) => ((($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS @ X0) @ X1)) @ X2)) @ X3))) <=> ! [X4] : (($true = ((mem @ X4) @ X1)) => (($true = (p @ ((ap @ X3) @ X4))) => ? [X5] : (($true = (p @ ((ap @ X3) @ ((ap @ X2) @ X5)))) & ($true = ((mem @ X5) @ X0)))))) & (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL @ X0) @ X1)) @ X2)) @ X3))) <=> ! [X6] : (($true = ((mem @ X6) @ X1)) => (~($true = (p @ ((ap @ X3) @ X6))) => ? [X7] : (($true = ((mem @ X7) @ X0)) & ~($true = (p @ ((ap @ X3) @ ((ap @ X2) @ X7)))))))) & ! [X8] : (($true = ((mem @ X8) @ ((arr @ X0) @ X1))) => ! [X9] : (($true = ((mem @ X9) @ ((arr @ X1) @ bool))) => (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ X0) @ X1)) @ X8)) @ X9))) <=> ! [X10] : (($true = ((mem @ X10) @ X0)) => ($true = (p @ ((ap @ X9) @ ((ap @ X8) @ X10)))))))) & ! [X11] : (($true = ((mem @ X11) @ ((arr @ X0) @ X1))) => ! [X12] : (($true = ((mem @ X12) @ ((arr @ X1) @ bool))) => (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ X0) @ X1)) @ X11)) @ X12))) <=> ! [X13] : (($true = ((mem @ X13) @ X1)) => (($true = (p @ ((ap @ X12) @ X13))) => ? [X14] : ((((ap @ X11) @ X14) = X13) & ($true = ((mem @ X14) @ X0)))))))) & ! [X15] : (($true = ((mem @ X15) @ ((arr @ X0) @ X1))) => ! [X16] : (($true = ((mem @ X16) @ ((arr @ X1) @ bool))) => (($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__GAP @ X0) @ X1)) @ X15)) @ X16))) <=> ! [X17] : (($true = ((mem @ X17) @ X1)) => (~($true = (p @ ((ap @ X16) @ X17))) => ? [X18] : (($true = ((mem @ X18) @ X0)) & (((ap @ X15) @ X18) = X17))))))) & ! [X19] : (($true = ((mem @ X19) @ ((arr @ X0) @ X1))) => ! [X20] : (($true = ((mem @ X20) @ ((arr @ X1) @ bool))) => (! [X21] : (($true = ((mem @ X21) @ X0)) => ~($true = (p @ ((ap @ X20) @ ((ap @ X19) @ X21))))) <=> ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0) @ X1)) @ X19)) @ X20)))))))))),
3.77/0.84	  inference(fool_elimination,[],[f134])).
3.77/0.84	thf(f134,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X0) @ X1)) => ! [X3] : (((mem @ X3) @ ((arr @ X1) @ bool)) => (((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS @ X0) @ X1)) @ X2)) @ X3)) <=> ! [X4] : (((mem @ X4) @ X1) => ((p @ ((ap @ X3) @ X4)) => ? [X5] : ((p @ ((ap @ X3) @ ((ap @ X2) @ X5))) & ((mem @ X5) @ X0))))) & ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL @ X0) @ X1)) @ X2)) @ X3)) <=> ! [X6] : (((mem @ X6) @ X1) => (~(p @ ((ap @ X3) @ X6)) => ? [X7] : (((mem @ X7) @ X0) & ~(p @ ((ap @ X3) @ ((ap @ X2) @ X7))))))) & ! [X8] : (((mem @ X8) @ ((arr @ X0) @ X1)) => ! [X9] : (((mem @ X9) @ ((arr @ X1) @ bool)) => ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ X0) @ X1)) @ X8)) @ X9)) <=> ! [X10] : (((mem @ X10) @ X0) => (p @ ((ap @ X9) @ ((ap @ X8) @ X10))))))) & ! [X11] : (((mem @ X11) @ ((arr @ X0) @ X1)) => ! [X12] : (((mem @ X12) @ ((arr @ X1) @ bool)) => ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ X0) @ X1)) @ X11)) @ X12)) <=> ! [X13] : (((mem @ X13) @ X1) => ((p @ ((ap @ X12) @ X13)) => ? [X14] : ((((ap @ X11) @ X14) = X13) & ((mem @ X14) @ X0))))))) & ! [X15] : (((mem @ X15) @ ((arr @ X0) @ X1)) => ! [X16] : (((mem @ X16) @ ((arr @ X1) @ bool)) => ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__GAP @ X0) @ X1)) @ X15)) @ X16)) <=> ! [X17] : (((mem @ X17) @ X1) => (~(p @ ((ap @ X16) @ X17)) => ? [X18] : (((mem @ X18) @ X0) & (((ap @ X15) @ X18) = X17))))))) & ! [X19] : (((mem @ X19) @ ((arr @ X0) @ X1)) => ! [X20] : (((mem @ X20) @ ((arr @ X1) @ bool)) => (! [X21] : (((mem @ X21) @ X0) => ~(p @ ((ap @ X20) @ ((ap @ X19) @ X21)))) <=> (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0) @ X1)) @ X19)) @ X20))))))))),
3.77/0.84	  inference(rectify,[],[f18])).
3.77/0.84	thf(f18,axiom,(
3.77/0.84	  ! [X5 : del,X7 : del,X11] : (((mem @ X11) @ ((arr @ X5) @ X7)) => ! [X12] : (((mem @ X12) @ ((arr @ X7) @ bool)) => (((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS @ X5) @ X7)) @ X11)) @ X12)) <=> ! [X29] : (((mem @ X29) @ X7) => ((p @ ((ap @ X12) @ X29)) => ? [X30] : ((p @ ((ap @ X12) @ ((ap @ X11) @ X30))) & ((mem @ X30) @ X5))))) & ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL @ X5) @ X7)) @ X11)) @ X12)) <=> ! [X27] : (((mem @ X27) @ X7) => (~(p @ ((ap @ X12) @ X27)) => ? [X28] : (((mem @ X28) @ X5) & ~(p @ ((ap @ X12) @ ((ap @ X11) @ X28))))))) & ! [X24] : (((mem @ X24) @ ((arr @ X5) @ X7)) => ! [X25] : (((mem @ X25) @ ((arr @ X7) @ bool)) => ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ X5) @ X7)) @ X24)) @ X25)) <=> ! [X26] : (((mem @ X26) @ X5) => (p @ ((ap @ X25) @ ((ap @ X24) @ X26))))))) & ! [X20] : (((mem @ X20) @ ((arr @ X5) @ X7)) => ! [X21] : (((mem @ X21) @ ((arr @ X7) @ bool)) => ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ X5) @ X7)) @ X20)) @ X21)) <=> ! [X22] : (((mem @ X22) @ X7) => ((p @ ((ap @ X21) @ X22)) => ? [X23] : ((((ap @ X20) @ X23) = X22) & ((mem @ X23) @ X5))))))) & ! [X16] : (((mem @ X16) @ ((arr @ X5) @ X7)) => ! [X17] : (((mem @ X17) @ ((arr @ X7) @ bool)) => ((p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__GAP @ X5) @ X7)) @ X16)) @ X17)) <=> ! [X18] : (((mem @ X18) @ X7) => (~(p @ ((ap @ X17) @ X18)) => ? [X19] : (((mem @ X19) @ X5) & (((ap @ X16) @ X19) = X18))))))) & ! [X13] : (((mem @ X13) @ ((arr @ X5) @ X7)) => ! [X14] : (((mem @ X14) @ ((arr @ X7) @ bool)) => (! [X15] : (((mem @ X15) @ X5) => ~(p @ ((ap @ X14) @ ((ap @ X13) @ X15)))) <=> (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X5) @ X7)) @ X13)) @ X14))))))))),
3.77/0.84	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__REWRITES)).
3.77/0.84	thf(f803,plain,(
3.77/0.84	  ($true = ((mem @ (((sK15 @ sK5) @ sK3) @ sK2)) @ sK2))),
3.77/0.84	  inference(unit_resulting_resolution,[],[f251,f253,f251,f253,f256,f257])).
3.77/0.84	thf(f257,plain,(
3.77/0.84	  ( ! [X28 : $i,X2 : $i,X0 : del,X29 : $i,X3 : $i,X1 : del] : (($true != ((mem @ X29) @ ((arr @ X1) @ bool))) | ($true = ((mem @ (((sK15 @ X29) @ X28) @ X0)) @ X0)) | ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0) @ X1)) @ X28)) @ X29))) | ($true != ((mem @ X28) @ ((arr @ X0) @ X1))) | ($true != ((mem @ X3) @ ((arr @ X1) @ bool))) | (((mem @ X2) @ ((arr @ X0) @ X1)) != $true)) )),
3.77/0.84	  inference(cnf_transformation,[],[f222])).
3.77/0.84	thf(f256,plain,(
3.77/0.84	  ($true != (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ sK5)))),
3.77/0.84	  inference(cnf_transformation,[],[f208])).
3.77/0.84	thf(f255,plain,(
3.77/0.84	  ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sK2) @ sK1)) @ sK3)) @ sK4)))),
3.77/0.84	  inference(cnf_transformation,[],[f208])).
3.77/0.84	thf(f252,plain,(
3.77/0.84	  ($true = ((mem @ sK4) @ ((arr @ sK1) @ bool)))),
3.77/0.84	  inference(cnf_transformation,[],[f208])).
3.77/0.84	thf(f253,plain,(
3.77/0.84	  ($true = ((mem @ sK5) @ ((arr @ sK1) @ bool)))),
3.77/0.84	  inference(cnf_transformation,[],[f208])).
3.77/0.84	thf(f251,plain,(
3.77/0.84	  ($true = ((mem @ sK3) @ ((arr @ sK2) @ sK1)))),
3.77/0.84	  inference(cnf_transformation,[],[f208])).
3.77/0.84	thf(f805,plain,(
3.77/0.84	  ($true = (p @ ((ap @ sK5) @ ((ap @ sK3) @ (((sK15 @ sK5) @ sK3) @ sK2)))))),
3.77/0.84	  inference(unit_resulting_resolution,[],[f251,f253,f251,f253,f256,f258])).
3.77/0.84	thf(f258,plain,(
3.77/0.84	  ( ! [X28 : $i,X2 : $i,X0 : del,X29 : $i,X3 : $i,X1 : del] : (($true != ((mem @ X29) @ ((arr @ X1) @ bool))) | ($true = (p @ ((ap @ X29) @ ((ap @ X28) @ (((sK15 @ X29) @ X28) @ X0))))) | ($true = (p @ ((ap @ ((ap @ ((c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0) @ X1)) @ X28)) @ X29))) | ($true != ((mem @ X28) @ ((arr @ X0) @ X1))) | ($true != ((mem @ X3) @ ((arr @ X1) @ bool))) | (((mem @ X2) @ ((arr @ X0) @ X1)) != $true)) )),
3.77/0.84	  inference(cnf_transformation,[],[f222])).
3.77/0.84	thf(f813,plain,(
3.77/0.84	  ($true = ((mem @ ((ap @ sK3) @ (((sK15 @ sK5) @ sK3) @ sK2))) @ sK1))),
3.77/0.84	  inference(unit_resulting_resolution,[],[f251,f803,f286])).
3.77/0.84	thf(f286,plain,(
3.77/0.84	  ( ! [X2 : $i,X0 : del,X3 : $i,X1 : del] : ((((mem @ X3) @ X0) != $true) | (((mem @ ((ap @ X2) @ X3)) @ X1) = $true) | (((mem @ X2) @ ((arr @ X0) @ X1)) != $true)) )),
3.77/0.84	  inference(cnf_transformation,[],[f179])).
3.77/0.84	thf(f179,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X2] : (! [X3] : ((((mem @ ((ap @ X2) @ X3)) @ X1) = $true) | (((mem @ X3) @ X0) != $true)) | (((mem @ X2) @ ((arr @ X0) @ X1)) != $true))),
3.77/0.84	  inference(ennf_transformation,[],[f133])).
3.77/0.84	thf(f133,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X2] : ((((mem @ X2) @ ((arr @ X0) @ X1)) = $true) => ! [X3] : ((((mem @ X3) @ X0) = $true) => (((mem @ ((ap @ X2) @ X3)) @ X1) = $true)))),
3.77/0.84	  inference(fool_elimination,[],[f132])).
3.77/0.84	thf(f132,plain,(
3.77/0.84	  ! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X0) @ X1)) => ! [X3] : (((mem @ X3) @ X0) => ((mem @ ((ap @ X2) @ X3)) @ X1)))),
3.77/0.84	  inference(rectify,[],[f5])).
3.77/0.84	thf(f5,axiom,(
3.77/0.84	  ! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X0) @ X1)) => ! [X3] : (((mem @ X3) @ X0) => ((mem @ ((ap @ X2) @ X3)) @ X1)))),
3.77/0.84	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp)).
3.77/0.84	% SZS output end Proof for theBenchmark
3.77/0.84	% (14740)------------------------------
3.77/0.84	% (14740)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
3.77/0.84	% (14740)Termination reason: Refutation
3.77/0.84	
3.77/0.84	% (14740)Memory used [KB]: 8315
3.77/0.84	% (14740)Time elapsed: 0.485 s
3.77/0.84	% (14740)------------------------------
3.77/0.84	% (14740)------------------------------
3.77/0.84	% (14715)Success in time 0.532 s
3.77/0.85	EOF