0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d 0.13/0.33 % Computer : n014.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Thu Jul 2 07:39:55 EDT 2020 0.13/0.33 % CPUTime : 0.19/0.37 % (25804)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 0.19/0.39 % (25818)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 0.19/0.39 % (25827)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 0.19/0.39 % (25826)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 0.19/0.39 % (25803)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 0.19/0.39 % (25805)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 0.19/0.39 % (25807)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 0.19/0.39 % (25808)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 0.19/0.40 % (25817)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 0.19/0.40 % (25806)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 0.19/0.41 % (25809)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 0.19/0.41 % (25810)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 0.19/0.41 % (25822)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 0.19/0.41 % (25828)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 0.19/0.41 % (25833)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 0.19/0.41 % (25832)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 0.19/0.42 % (25830)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 0.19/0.42 % (25831)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 0.19/0.42 % (25819)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 0.19/0.43 % (25820)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 0.19/0.43 % (25811)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 0.19/0.43 % (25812)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 0.19/0.43 % (25824)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 0.19/0.43 % (25823)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 0.19/0.43 % (25821)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 0.19/0.43 % (25814)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 0.19/0.44 % (25815)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 0.19/0.44 % (25816)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 0.19/0.44 % (25813)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 0.19/0.44 % (25829)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 3.72/0.86 % (25806)Time limit reached! 3.72/0.86 % (25806)------------------------------ 3.72/0.86 % (25806)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.72/0.86 % (25806)Termination reason: Time limit 3.72/0.86 % (25806)Termination phase: Saturation 3.72/0.86 3.72/0.86 % (25806)Memory used [KB]: 16119 3.72/0.86 % (25806)Time elapsed: 0.500 s 3.72/0.87 % (25806)------------------------------ 3.72/0.87 % (25806)------------------------------ 4.05/0.88 % (25804)Time limit reached! 4.05/0.88 % (25804)------------------------------ 4.05/0.88 % (25804)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.05/0.88 % (25804)Termination reason: Time limit 4.05/0.88 4.05/0.88 % (25804)Memory used [KB]: 12153 4.05/0.88 % (25804)Time elapsed: 0.524 s 4.05/0.88 % (25804)------------------------------ 4.05/0.88 % (25804)------------------------------ 4.05/0.91 % (25835)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 4.05/0.92 % (25834)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 4.58/0.94 % (25815)Time limit reached! 4.58/0.94 % (25815)------------------------------ 4.58/0.94 % (25815)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.58/0.94 % (25815)Termination reason: Time limit 4.58/0.94 4.58/0.94 % (25815)Memory used [KB]: 7164 4.58/0.94 % (25815)Time elapsed: 0.568 s 4.58/0.94 % (25815)------------------------------ 4.58/0.94 % (25815)------------------------------ 4.58/0.94 % (25803)Time limit reached! 4.58/0.94 % (25803)------------------------------ 4.58/0.94 % (25803)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.58/0.94 % (25803)Termination reason: Time limit 4.58/0.94 4.58/0.94 % (25803)Memory used [KB]: 2942 4.58/0.94 % (25803)Time elapsed: 0.577 s 4.58/0.94 % (25803)------------------------------ 4.58/0.94 % (25803)------------------------------ 4.58/0.95 % (25817)Time limit reached! 4.58/0.95 % (25817)------------------------------ 4.58/0.95 % (25817)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.58/0.95 % (25817)Termination reason: Time limit 4.58/0.95 4.58/0.95 % (25817)Memory used [KB]: 7803 4.58/0.95 % (25817)Time elapsed: 0.576 s 4.58/0.95 % (25817)------------------------------ 4.58/0.95 % (25817)------------------------------ 4.77/0.97 % (25814)Time limit reached! 4.77/0.97 % (25814)------------------------------ 4.77/0.97 % (25814)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.77/0.97 % (25814)Termination reason: Time limit 4.77/0.97 4.77/0.97 % (25814)Memory used [KB]: 11897 4.77/0.97 % (25814)Time elapsed: 0.597 s 4.77/0.97 % (25814)------------------------------ 4.77/0.97 % (25814)------------------------------ 4.77/0.98 % (25837)lrs+1011_8_add=large:csup=on:fe=off: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_30 on theBenchmark 4.77/0.98 % (25812)Time limit reached! 4.77/0.98 % (25812)------------------------------ 4.77/0.98 % (25812)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.77/0.98 % (25812)Termination reason: Time limit 4.77/0.98 4.77/0.98 % (25812)Memory used [KB]: 12153 4.77/0.98 % (25812)Time elapsed: 0.604 s 4.77/0.98 % (25812)------------------------------ 4.77/0.98 % (25812)------------------------------ 4.77/0.99 % (25836)lrs+1011_8_add=large:csup=on:inj=on:prag=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_26 on theBenchmark 4.77/1.00 % (25838)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off: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_27 on theBenchmark 4.77/1.01 % (25839)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_125 on theBenchmark 4.77/1.02 % (25811)Refutation found. Thanks to Tanya! 4.77/1.02 % SZS status Theorem for theBenchmark 4.77/1.02 % SZS output start Proof for theBenchmark 4.77/1.02 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 4.77/1.02 tff(func_def_4, type, in: '$i' -> '$i' -> '$o'). 4.77/1.02 tff(func_def_5, type, exu: ('$i' -> '$o') -> '$o'). 4.77/1.02 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 4.77/1.02 tff(func_def_10, type, setadjoin: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_12, type, powerset: '$i' -> '$i'). 4.77/1.02 tff(func_def_14, type, setunion: '$i' -> '$i'). 4.77/1.02 tff(func_def_23, type, descr: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_25, type, dsetconstr: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_30, type, prop2set: '$o' -> '$i'). 4.77/1.02 tff(func_def_40, type, nonempty: '$i' -> '$o'). 4.77/1.02 tff(func_def_73, type, set2prop: '$i' -> '$o'). 4.77/1.02 tff(func_def_92, type, subset: '$i' -> '$i' -> '$o'). 4.77/1.02 tff(func_def_93, type, disjoint: '$i' -> '$i' -> '$o'). 4.77/1.02 tff(func_def_94, type, setsmeet: '$i' -> '$i' -> '$o'). 4.77/1.02 tff(func_def_118, type, binunion: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_126, type, binintersect: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_139, type, regular: '$i' -> '$o'). 4.77/1.02 tff(func_def_140, type, setminus: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_143, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 4.77/1.02 tff(func_def_146, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 4.77/1.02 tff(func_def_147, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 4.77/1.02 tff(func_def_148, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 4.77/1.02 tff(func_def_149, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 4.77/1.02 tff(func_def_150, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 4.77/1.02 tff(func_def_151, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 4.77/1.02 tff(func_def_152, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 4.77/1.02 tff(func_def_153, type, vIMP: '$o' -> '$o' -> '$o'). 4.77/1.02 tff(func_def_154, type, vAND: '$o' -> '$o' -> '$o'). 4.77/1.02 tff(func_def_155, type, vNOT: '$o' -> '$o'). 4.77/1.02 tff(func_def_156, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 4.77/1.02 tff(func_def_157, type, vIFF: '$o' -> '$o' -> '$o'). 4.77/1.02 tff(func_def_158, type, vOR: '$o' -> '$o' -> '$o'). 4.77/1.02 tff(func_def_162, type, sK3: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_163, type, sK4: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_164, type, sK5: '$o' -> '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_165, type, sK6: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_166, type, sK7: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_167, type, sK8: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_168, type, sK9: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_169, type, sK10: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_170, type, sK11: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_171, type, sK12: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_172, type, sK13: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_173, type, sK14: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_174, type, sK15: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_175, type, sK16: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_176, type, sK17: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_177, type, sK18: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_178, type, sK19: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_179, type, sK20: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_180, type, sK21: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_181, type, sK22: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_182, type, sK23: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_183, type, sK24: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_184, type, sK25: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_185, type, sK26: ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 4.77/1.02 tff(func_def_186, type, sK27: ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 4.77/1.02 tff(func_def_187, type, sK28: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 4.77/1.02 tff(func_def_188, type, sK29: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 4.77/1.02 tff(func_def_189, type, sK30: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 4.77/1.02 tff(func_def_190, type, sK31: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_191, type, sK32: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_192, type, sK33: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_193, type, sK34: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_194, type, sK35: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_195, type, sK36: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_196, type, sK37: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_197, type, sK38: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_198, type, sK39: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_199, type, sK40: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_200, type, sK41: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_201, type, sK42: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_202, type, sK43: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_203, type, sK44: '$i' -> '$i'). 4.77/1.02 tff(func_def_204, type, sK45: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_205, type, sK46: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_206, type, sK47: '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_207, type, sK48: '$i' -> '$i' -> '$i' -> '$i'). 4.77/1.02 tff(func_def_208, type, sK49: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_209, type, sK50: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_210, type, sK51: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_211, type, sK52: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_212, type, sK53: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_213, type, sK54: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_214, type, sK55: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_215, type, sK56: '$i' -> '$i'). 4.77/1.02 tff(func_def_216, type, sK57: '$i' -> '$i'). 4.77/1.02 tff(func_def_217, type, sK58: '$i' -> '$i'). 4.77/1.02 tff(func_def_218, type, sK59: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_219, type, sK60: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_220, type, sK61: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_221, type, sK62: ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_222, type, sK63: '$i' -> ('$i' -> '$o') -> '$i'). 4.77/1.02 tff(func_def_223, type, sK64: '$i' -> '$i'). 4.77/1.02 tff(func_def_224, type, sK65: '$i' -> '$i'). 4.77/1.02 tff(func_def_225, type, sK66: '$i' -> '$i'). 4.77/1.02 tff(f16,axiom,( 4.77/1.02 (dsetconstrER = ! [X3,X0 : '$i' -> '$o',X1] : (in @ X1 @ (dsetconstr @ X3 @ (^[X2 : '$i'] : X0 @ X2)) => X0 @ X1))), 4.77/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrER)). 4.77/1.02 tff(f120,axiom,( 4.77/1.02 setminus = (^[X3 : '$i', X4 : '$i'] : dsetconstr @ X3 @ (^[X1 : '$i'] : ~in @ X1 @ X4))), 4.77/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminus)). 4.77/1.02 tff(f123,conjecture,( 4.77/1.02 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => ! [X3,X4,X1] : (in @ X1 @ (setminus @ X3 @ X4) => ~in @ X1 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 4.77/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusER)). 4.77/1.02 tff(f124,negated_conjecture,( 4.77/1.02 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => ! [X3,X4,X1] : (in @ X1 @ (setminus @ X3 @ X4) => ~in @ X1 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 4.77/1.02 inference(negated_conjecture,[],[f123])). 4.77/1.02 tff(f125,plain,( 4.77/1.02 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => ! [X0,X1,X2] : (in @ X2 @ (setminus @ X0 @ X1) => ~in @ X2 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 4.77/1.02 inference(rectify,[],[f124])). 4.77/1.02 tff(f126,plain,( 4.77/1.02 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ! [X0,X1,X2] : ((in @ X2 @ (setminus @ X0 @ X1) = $true) => ~(in @ X2 @ X1 = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 4.77/1.02 inference(fool_elimination,[],[f125])). 4.77/1.02 tff(f351,plain,( 4.77/1.02 (dsetconstrER = ! [X0,X1 : '$i' -> '$o',X2] : (in @ X2 @ (dsetconstr @ X0 @ (^[X3 : '$i'] : X1 @ X3)) => X1 @ X2))), 4.77/1.02 inference(rectify,[],[f16])). 4.77/1.02 tff(f352,plain,( 4.77/1.02 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ (cCOMB @ iCOMB)))) = dsetconstrER)), 4.77/1.02 inference(fool_elimination,[],[f351])). 4.77/1.02 tff(f359,plain,( 4.77/1.02 setminus = (^[X0 : '$i', X1 : '$i'] : dsetconstr @ X0 @ (^[X2 : '$i'] : ~in @ X2 @ X1))), 4.77/1.02 inference(rectify,[],[f120])). 4.77/1.02 tff(f360,plain,( 4.77/1.02 cCOMB @ (bCOMB @ bCOMB @ dsetconstr) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ in)) = setminus), 4.77/1.02 inference(fool_elimination,[],[f359])). 4.77/1.02 tff(f365,plain,( 4.77/1.02 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ! 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[X0,X1,X2] : ((in @ X2 @ X1 = $true) & (in @ X2 @ (setminus @ X0 @ X1) = $true)) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true)), 4.77/1.02 inference(flattening,[],[f366])). 4.77/1.02 tff(f368,plain,( 4.77/1.02 ? [X0,X1,X2] : ((in @ X2 @ X1 = $true) & (in @ X2 @ (setminus @ X0 @ X1) = $true)) => ((in @ sK2 @ sK1 = $true) & (in @ sK2 @ (setminus @ sK0 @ sK1) = $true))), 4.77/1.02 introduced(choice_axiom,[])). 4.77/1.02 tff(f369,plain,( 4.77/1.02 ((in @ sK2 @ sK1 = $true) & (in @ sK2 @ (setminus @ sK0 @ sK1) = $true)) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true)), 4.77/1.02 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f367,f368])). 4.77/1.02 tff(f384,plain,( 4.77/1.02 (dsetconstrER = $true)), 4.77/1.02 inference(cnf_transformation,[],[f369])). 4.77/1.02 tff(f489,plain,( 4.77/1.02 (in @ sK2 @ (setminus @ sK0 @ sK1) = $true)), 4.77/1.02 inference(cnf_transformation,[],[f369])). 4.77/1.02 tff(f490,plain,( 4.77/1.02 (in @ sK2 @ sK1 = $true)), 4.77/1.02 inference(cnf_transformation,[],[f369])). 4.77/1.02 tff(f606,plain,( 4.77/1.02 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ (cCOMB @ iCOMB)))) = dsetconstrER)), 4.77/1.02 inference(cnf_transformation,[],[f352])). 4.77/1.02 tff(f610,plain,( 4.77/1.02 cCOMB @ (bCOMB @ bCOMB @ dsetconstr) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ in)) = setminus), 4.77/1.02 inference(cnf_transformation,[],[f360])). 4.77/1.02 tff(f613,plain,( 4.77/1.02 (in @ sK2 @ (cCOMB @ (bCOMB @ bCOMB @ dsetconstr) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ in)) @ sK0 @ sK1) = $true)), 4.77/1.02 inference(definition_unfolding,[],[f489,f610])). 4.77/1.02 tff(f729,plain,( 4.77/1.02 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ (cCOMB @ iCOMB)))) = $true)), 4.77/1.02 inference(definition_unfolding,[],[f606,f384])). 4.77/1.02 tff(f771,plain,( 4.77/1.02 ( ! [X1] : ((bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ (cCOMB @ iCOMB))) @ X1 = $true)) )), 4.77/1.02 inference(pi_clausification,[],[f729])). 4.77/1.02 tff(f772,plain,( 4.77/1.02 ( ! [X1] : ((vPI('$i' -> '$o') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ dsetconstr)))) @ (cCOMB @ iCOMB @ X1))) = $true)) )), 4.77/1.02 inference(combinator_demodulation,[],[f771])). 4.77/1.02 tff(f773,plain,( 4.77/1.02 ( ! [X2:'$i' -> '$o',X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ dsetconstr)))) @ (cCOMB @ iCOMB @ X1)) @ X2 = $true)) )), 4.77/1.02 inference(pi_clausification,[],[f772])). 4.77/1.02 tff(f774,plain,( 4.77/1.02 ( ! [X2:'$i' -> '$o',X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ dsetconstr @ X2))) @ (X2 @ X1)) = $true)) )), 4.77/1.02 inference(combinator_demodulation,[],[f773])). 4.77/1.02 tff(f775,plain,( 4.77/1.02 ( ! [X2:'$i' -> '$o',X3,X1] : ((cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ dsetconstr @ X2))) @ (X2 @ X1) @ X3 = $true)) )), 4.77/1.02 inference(pi_clausification,[],[f774])). 4.77/1.02 tff(f776,plain,( 4.77/1.02 ( ! [X2:'$i' -> '$o',X3,X1] : ((vIMP @ (in @ X1 @ (dsetconstr @ X3 @ X2)) @ (X2 @ X1) = $true)) )), 4.77/1.02 inference(combinator_demodulation,[],[f775])). 4.77/1.02 tff(f777,plain,( 4.77/1.02 ( ! [X2:'$i' -> '$o',X3,X1] : ((in @ X1 @ (dsetconstr @ X3 @ X2) = $false) | (X2 @ X1 = $true)) )), 4.77/1.02 inference(binary_proxy_clausification,[],[f776])). 4.77/1.02 tff(f1971,plain,( 4.77/1.02 (in @ sK2 @ (dsetconstr @ sK0 @ (bCOMB @ vNOT @ (cCOMB @ in @ sK1))) = $true)), 4.77/1.02 inference(combinator_demodulation,[],[f613])). 4.77/1.02 tff(f2776,plain,( 4.77/1.02 ($false = $true) | (bCOMB @ vNOT @ (cCOMB @ in @ sK1) @ sK2 = $true)), 4.77/1.02 inference(superposition,[],[f777,f1971])). 4.77/1.02 tff(f2777,plain,( 4.77/1.02 (bCOMB @ vNOT @ (cCOMB @ in @ sK1) @ sK2 = $true)), 4.77/1.02 inference(trivial_inequality_removal,[],[f2776])). 4.77/1.02 tff(f2778,plain,( 4.77/1.02 (vNOT @ (in @ sK2 @ sK1) = $true)), 4.77/1.02 inference(combinator_demodulation,[],[f2777])). 4.77/1.02 tff(f2779,plain,( 4.77/1.02 (in @ sK2 @ sK1 = $false)), 4.77/1.02 inference(not_proxy_clausification,[],[f2778])). 4.77/1.02 tff(f2785,plain,( 4.77/1.02 ($false = $true)), 4.77/1.02 inference(backward_demodulation,[],[f2779,f490])). 4.77/1.02 tff(f2788,plain,( 4.77/1.02 $false), 4.77/1.02 inference(trivial_inequality_removal,[],[f2785])). 4.77/1.02 % SZS output end Proof for theBenchmark 4.77/1.02 % (25811)------------------------------ 4.77/1.02 % (25811)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.77/1.02 % (25811)Termination reason: Refutation 4.77/1.02 4.77/1.02 % (25811)Memory used [KB]: 3326 4.77/1.02 % (25811)Time elapsed: 0.654 s 4.77/1.02 % (25811)------------------------------ 4.77/1.02 % (25811)------------------------------ 5.20/1.03 % (25840)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_77 on theBenchmark 5.20/1.04 % (25805)Time limit reached! 5.20/1.04 % (25805)------------------------------ 5.20/1.04 % (25805)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.20/1.04 % (25805)Termination reason: Time limit 5.20/1.04 5.20/1.04 % (25805)Memory used [KB]: 12792 5.20/1.04 % (25805)Time elapsed: 0.678 s 5.20/1.04 % (25805)------------------------------ 5.20/1.04 % (25805)------------------------------ 5.20/1.04 % (25802)Success in time 0.69 s 5.20/1.05 EOF