0.13/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.15 % Command : run_vampire %s %d 0.16/0.37 % Computer : n016.cluster.edu 0.16/0.37 % Model : x86_64 x86_64 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.37 % Memory : 8042.1875MB 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.37 % CPULimit : 1200 0.16/0.37 % WCLimit : 120 0.16/0.37 % DateTime : Tue Jul 13 16:01:53 EDT 2021 0.16/0.37 % CPUTime : 0.16/0.37 This is a THF_ problem 0.16/0.37 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.16/0.38 Running in auto input_syntax mode. Trying TPTP 0.23/0.43 % (27136)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 0.23/0.43 % (27137)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 0.23/0.44 % (27153)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 0.23/0.44 % (27152)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 0.23/0.45 % (27140)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 0.23/0.45 % (27146)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 0.23/0.45 % (27134)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 0.23/0.45 % (27135)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 0.23/0.45 % (27131)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 0.23/0.46 % (27145)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 0.23/0.46 % (27138)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 0.23/0.46 % (27150)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 0.23/0.47 % (27141)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 0.23/0.47 % (27151)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 0.23/0.47 % (27154)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 0.23/0.47 % (27132)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 0.23/0.47 % (27143)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 0.23/0.47 % (27157)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 0.23/0.47 % (27144)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 0.23/0.47 % (27147)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 0.23/0.48 % (27156)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 0.23/0.48 % (27158)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 0.23/0.48 % (27149)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 0.23/0.48 % (27155)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 0.23/0.48 % (27142)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 0.23/0.49 % (27160)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 0.23/0.49 % (27139)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 0.23/0.49 % (27148)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 0.23/0.49 % (27159)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 0.23/0.50 % (27133)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 0.23/0.52 % (27137)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.54 % (27135)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.56 % (27140)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.57 % (27138)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.57 % (27147)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.57 % (27153)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.23/0.58 % (27156)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.58 % (27144)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.59 % (27154)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.59 % (27155)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.60 % (27148)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.60 % (27133)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.23/0.61 % (27146)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.23/0.61 % (27140)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.54/0.64 % (27139)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.54/0.65 % (27147)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.13/0.68 % (27150)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.13/0.72 % (27141)First to succeed. 2.13/0.73 % (27141)Refutation found. Thanks to Tanya! 2.13/0.73 % SZS status Theorem for theBenchmark 2.13/0.73 % SZS output start Proof for theBenchmark 2.13/0.73 thf(type_def_6, type, binary1439146945Tree_a: $tType). 2.13/0.73 thf(type_def_7, type, set_a: $tType). 2.13/0.73 thf(type_def_8, type, int: $tType). 2.13/0.73 thf(type_def_9, type, a: $tType). 2.13/0.73 thf(type_def_10, type, >: ($tType * $tType) > $tType). 2.13/0.73 thf(func_def_11, type, binary717961607le_T_a: binary1439146945Tree_a > a > binary1439146945Tree_a > binary1439146945Tree_a). 2.13/0.73 thf(func_def_12, type, binary476621312_Tip_a: binary1439146945Tree_a). 2.13/0.73 thf(func_def_13, type, binary256242811Tree_a: binary1439146945Tree_a > set_a). 2.13/0.73 thf(func_def_14, type, binary1226383794sert_a: (a > int) > a > binary1439146945Tree_a > binary1439146945Tree_a). 2.13/0.73 thf(func_def_15, type, binary504661350_eqs_a: (a > int) > a > set_a). 2.13/0.73 thf(func_def_16, type, binary2053421120memb_a: (a > int) > a > binary1439146945Tree_a > $o). 2.13/0.73 thf(func_def_17, type, binary945792244etOf_a: binary1439146945Tree_a > set_a). 2.13/0.73 thf(func_def_18, type, binary1721989714Tree_a: (a > int) > binary1439146945Tree_a > $o). 2.13/0.73 thf(func_def_19, type, binary670562003pred_a: (a > int) > a > a > binary1439146945Tree_a > $o). 2.13/0.73 thf(func_def_20, type, minus_minus_a_o: (a > $o) > (a > $o) > a > $o). 2.13/0.73 thf(func_def_21, type, minus_minus_o: $o > $o > $o). 2.13/0.73 thf(func_def_22, type, minus_minus_int: int > int > int). 2.13/0.73 thf(func_def_23, type, minus_minus_set_a: set_a > set_a > set_a). 2.13/0.73 thf(func_def_24, type, the_a: (a > $o) > a). 2.13/0.73 thf(func_def_25, type, if_a: $o > a > a > a). 2.13/0.73 thf(func_def_26, type, sup_sup_a_o: (a > $o) > (a > $o) > a > $o). 2.13/0.73 thf(func_def_27, type, sup_sup_o: $o > $o > $o). 2.13/0.73 thf(func_def_28, type, sup_sup_int: int > int > int). 2.13/0.73 thf(func_def_29, type, sup_sup_set_a: set_a > set_a > set_a). 2.13/0.73 thf(func_def_30, type, bot_bot_a_o: a > $o). 2.13/0.73 thf(func_def_32, type, bot_bot_set_a: set_a). 2.13/0.73 thf(func_def_33, type, ord_less_a_o: (a > $o) > (a > $o) > $o). 2.13/0.73 thf(func_def_34, type, ord_less_int: int > int > $o). 2.13/0.73 thf(func_def_35, type, ord_less_set_a: set_a > set_a > $o). 2.13/0.73 thf(func_def_36, type, ord_less_eq_a_o: (a > $o) > (a > $o) > $o). 2.13/0.73 thf(func_def_37, type, ord_less_eq_int: int > int > $o). 2.13/0.73 thf(func_def_38, type, ord_less_eq_set_a: set_a > set_a > $o). 2.13/0.73 thf(func_def_39, type, collect_a: (a > $o) > set_a). 2.13/0.73 thf(func_def_40, type, insert_a: a > set_a > set_a). 2.13/0.73 thf(func_def_41, type, is_empty_a: set_a > $o). 2.13/0.73 thf(func_def_42, type, is_singleton_a: set_a > $o). 2.13/0.73 thf(func_def_43, type, pairwise_a: (a > a > $o) > set_a > $o). 2.13/0.73 thf(func_def_44, type, remove_a: a > set_a > set_a). 2.13/0.73 thf(func_def_45, type, the_elem_a: set_a > a). 2.13/0.73 thf(func_def_46, type, member_a: a > set_a > $o). 2.13/0.73 thf(func_def_47, type, e: a). 2.13/0.73 thf(func_def_48, type, h: a > int). 2.13/0.73 thf(func_def_49, type, t1: binary1439146945Tree_a). 2.13/0.73 thf(func_def_50, type, t2: binary1439146945Tree_a). 2.13/0.73 thf(func_def_51, type, x: a). 2.13/0.73 thf(func_def_55, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 2.13/0.73 thf(func_def_56, type, vIMP: $o > $o > $o). 2.13/0.73 thf(func_def_57, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 2.13/0.73 thf(func_def_58, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 2.13/0.73 thf(func_def_59, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 2.13/0.73 thf(func_def_60, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 2.13/0.73 thf(func_def_61, type, vAND: $o > $o > $o). 2.13/0.73 thf(func_def_62, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 2.13/0.73 thf(func_def_63, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 2.13/0.73 thf(func_def_64, type, vNOT: $o > $o). 2.13/0.73 thf(func_def_65, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 2.13/0.73 thf(func_def_66, type, vOR: $o > $o > $o). 2.13/0.73 thf(func_def_67, type, sK0: a). 2.13/0.73 thf(func_def_68, type, sK1: binary1439146945Tree_a > binary1439146945Tree_a). 2.13/0.73 thf(func_def_69, type, sK2: binary1439146945Tree_a > a). 2.13/0.73 thf(func_def_70, type, sK3: binary1439146945Tree_a > binary1439146945Tree_a). 2.13/0.73 thf(func_def_71, type, sK4: set_a > a). 2.13/0.73 thf(func_def_72, type, sK5: set_a > a). 2.13/0.73 thf(func_def_73, type, sK6: set_a > a). 2.13/0.73 thf(func_def_74, type, sK7: a > (a > $o) > a). 2.13/0.73 thf(func_def_75, type, sK8: set_a > a). 2.13/0.73 thf(func_def_76, type, sK9: int > int). 2.13/0.73 thf(func_def_77, type, sK10: int > int). 2.13/0.73 thf(func_def_78, type, sK11: (a > $o) > (a > $o) > a). 2.13/0.73 thf(func_def_79, type, sK12: set_a > set_a > a). 2.13/0.73 thf(func_def_80, type, sK13: (a > $o) > (a > $o) > a). 2.13/0.73 thf(func_def_81, type, sK14: a > (a > $o) > a). 2.13/0.73 thf(func_def_82, type, sK15: a > (a > $o) > a). 2.13/0.73 thf(func_def_83, type, sK16: (binary1439146945Tree_a > $o) > binary1439146945Tree_a). 2.13/0.73 thf(func_def_84, type, sK17: (binary1439146945Tree_a > $o) > a). 2.13/0.73 thf(func_def_85, type, sK18: (binary1439146945Tree_a > $o) > binary1439146945Tree_a). 2.13/0.73 thf(func_def_86, type, sK19: a > (a > $o) > a). 2.13/0.73 thf(func_def_87, type, sK20: a > (a > $o) > a). 2.13/0.73 thf(func_def_88, type, sK21: set_a > a > set_a). 2.13/0.73 thf(func_def_89, type, sK22: set_a > a > set_a). 2.13/0.73 thf(func_def_90, type, sK23: set_a > set_a > a). 2.13/0.73 thf(func_def_91, type, sK24: binary1439146945Tree_a > a > binary1439146945Tree_a). 2.13/0.73 thf(func_def_92, type, sK25: binary1439146945Tree_a > a > a). 2.13/0.73 thf(func_def_93, type, sK26: binary1439146945Tree_a > a > binary1439146945Tree_a). 2.13/0.73 thf(func_def_94, type, sK27: binary1439146945Tree_a > a > binary1439146945Tree_a). 2.13/0.73 thf(func_def_95, type, sK28: binary1439146945Tree_a > a > binary1439146945Tree_a). 2.13/0.73 thf(func_def_96, type, sK29: binary1439146945Tree_a > a > binary1439146945Tree_a). 2.13/0.73 thf(func_def_97, type, sK30: binary1439146945Tree_a > a > a). 2.13/0.73 thf(func_def_98, type, sK31: binary1439146945Tree_a > a > binary1439146945Tree_a). 2.13/0.73 thf(func_def_99, type, sK32: (int > int > $o) > int). 2.13/0.73 thf(func_def_100, type, sK33: (int > int > $o) > int). 2.13/0.73 thf(func_def_101, type, sK34: (int > int > $o) > int). 2.13/0.73 thf(func_def_102, type, sK35: (int > int > $o) > int). 2.13/0.73 thf(func_def_103, type, sK36: (int > int > $o) > int). 2.13/0.73 thf(func_def_104, type, sK37: (a > $o) > (a > $o) > a). 2.13/0.73 thf(func_def_105, type, sK38: a > (a > $o) > a). 2.13/0.73 thf(func_def_106, type, sK39: (int > int) > int). 2.13/0.73 thf(func_def_107, type, sK40: (int > int) > int). 2.13/0.73 thf(func_def_108, type, sK41: (int > set_a) > int). 2.13/0.73 thf(func_def_109, type, sK42: (int > set_a) > int). 2.13/0.73 thf(func_def_110, type, sK43: (set_a > int) > set_a). 2.13/0.73 thf(func_def_111, type, sK44: (set_a > int) > set_a). 2.13/0.73 thf(func_def_112, type, sK45: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_113, type, sK46: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_114, type, sK47: (int > int) > int). 2.13/0.73 thf(func_def_115, type, sK48: (int > int) > int). 2.13/0.73 thf(func_def_116, type, sK49: (int > set_a) > int). 2.13/0.73 thf(func_def_117, type, sK50: (int > set_a) > int). 2.13/0.73 thf(func_def_118, type, sK51: (int > int) > int). 2.13/0.73 thf(func_def_119, type, sK52: (int > int) > int). 2.13/0.73 thf(func_def_120, type, sK53: (int > set_a) > int). 2.13/0.73 thf(func_def_121, type, sK54: (int > set_a) > int). 2.13/0.73 thf(func_def_122, type, sK55: (int > int) > int). 2.13/0.73 thf(func_def_123, type, sK56: (int > int) > int). 2.13/0.73 thf(func_def_124, type, sK57: (int > int) > int). 2.13/0.73 thf(func_def_125, type, sK58: (int > int) > int). 2.13/0.73 thf(func_def_126, type, sK59: (int > set_a) > int). 2.13/0.73 thf(func_def_127, type, sK60: (int > set_a) > int). 2.13/0.73 thf(func_def_128, type, sK61: (set_a > int) > set_a). 2.13/0.73 thf(func_def_129, type, sK62: (set_a > int) > set_a). 2.13/0.73 thf(func_def_130, type, sK63: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_131, type, sK64: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_132, type, sK65: (set_a > int) > set_a). 2.13/0.73 thf(func_def_133, type, sK66: (set_a > int) > set_a). 2.13/0.73 thf(func_def_134, type, sK67: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_135, type, sK68: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_136, type, sK69: (set_a > int) > set_a). 2.13/0.73 thf(func_def_137, type, sK70: (set_a > int) > set_a). 2.13/0.73 thf(func_def_138, type, sK71: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_139, type, sK72: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_140, type, sK73: (int > int) > int). 2.13/0.73 thf(func_def_141, type, sK74: (int > int) > int). 2.13/0.73 thf(func_def_142, type, sK75: (set_a > int) > set_a). 2.13/0.73 thf(func_def_143, type, sK76: (set_a > int) > set_a). 2.13/0.73 thf(func_def_144, type, sK77: (int > int) > int). 2.13/0.73 thf(func_def_145, type, sK78: (int > int) > int). 2.13/0.73 thf(func_def_146, type, sK79: (int > int) > int). 2.13/0.73 thf(func_def_147, type, sK80: (int > int) > int). 2.13/0.73 thf(func_def_148, type, sK81: (set_a > int) > set_a). 2.13/0.73 thf(func_def_149, type, sK82: (set_a > int) > set_a). 2.13/0.73 thf(func_def_150, type, sK83: (set_a > int) > set_a). 2.13/0.73 thf(func_def_151, type, sK84: (set_a > int) > set_a). 2.13/0.73 thf(func_def_152, type, sK85: (int > set_a) > int). 2.13/0.73 thf(func_def_153, type, sK86: (int > set_a) > int). 2.13/0.73 thf(func_def_154, type, sK87: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_155, type, sK88: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_156, type, sK89: (int > set_a) > int). 2.13/0.73 thf(func_def_157, type, sK90: (int > set_a) > int). 2.13/0.73 thf(func_def_158, type, sK91: (int > set_a) > int). 2.13/0.73 thf(func_def_159, type, sK92: (int > set_a) > int). 2.13/0.73 thf(func_def_160, type, sK93: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_161, type, sK94: (set_a > set_a) > set_a). 2.13/0.73 thf(func_def_166, type, sK96: binary1439146945Tree_a > a). 2.13/0.73 thf(func_def_167, type, sK97: binary1439146945Tree_a > a). 2.13/0.73 thf(f2094,plain,( 2.13/0.73 $false), 2.13/0.73 inference(avatar_sat_refutation,[],[f1816,f1821,f1949,f2087])). 2.13/0.73 thf(f2087,plain,( 2.13/0.73 ~spl95_5), 2.13/0.73 inference(avatar_contradiction_clause,[],[f2086])). 2.13/0.73 thf(f2086,plain,( 2.13/0.73 $false | ~spl95_5), 2.13/0.73 inference(trivial_inequality_removal,[],[f1995])). 2.13/0.73 thf(f1995,plain,( 2.13/0.73 ($true != $true) | ~spl95_5), 2.13/0.73 inference(superposition,[],[f1448,f1948])). 2.13/0.73 thf(f1948,plain,( 2.13/0.73 ($true = ((ord_less_int @ (h @ x)) @ (h @ x))) | ~spl95_5), 2.13/0.73 inference(avatar_component_clause,[],[f1946])). 2.13/0.73 thf(f1946,plain,( 2.13/0.73 spl95_5 <=> ($true = ((ord_less_int @ (h @ x)) @ (h @ x)))), 2.13/0.73 introduced(avatar_definition,[new_symbols(naming,[spl95_5])])). 2.13/0.73 thf(f1448,plain,( 2.13/0.73 ( ! [X0 : int] : ((((ord_less_int @ X0) @ X0) != $true)) )), 2.13/0.73 inference(cnf_transformation,[],[f919])). 2.13/0.73 thf(f919,plain,( 2.13/0.73 ! [X0 : int] : (((ord_less_int @ X0) @ X0) != $true)), 2.13/0.73 inference(flattening,[],[f500])). 2.13/0.73 thf(f500,plain,( 2.13/0.73 ! [X0 : int] : ~(((ord_less_int @ X0) @ X0) = $true)), 2.13/0.73 inference(fool_elimination,[],[f499])). 2.13/0.73 thf(f499,plain,( 2.13/0.73 ! [X0 : int] : ~((ord_less_int @ X0) @ X0)), 2.13/0.73 inference(rectify,[],[f192])). 2.13/0.73 thf(f192,axiom,( 2.13/0.73 ! [X8 : int] : ~((ord_less_int @ X8) @ X8)), 2.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_242_less__irrefl)). 2.13/0.73 thf(f1949,plain,( 2.13/0.73 spl95_5 | ~spl95_1 | ~spl95_2), 2.13/0.73 inference(avatar_split_clause,[],[f1944,f1818,f1813,f1946])). 2.13/0.73 thf(f1813,plain,( 2.13/0.73 spl95_1 <=> ((h @ x) = (h @ sK0))), 2.13/0.73 introduced(avatar_definition,[new_symbols(naming,[spl95_1])])). 2.13/0.73 thf(f1818,plain,( 2.13/0.73 spl95_2 <=> ($true = ((member_a @ sK0) @ ((binary504661350_eqs_a @ h) @ e)))), 2.13/0.73 introduced(avatar_definition,[new_symbols(naming,[spl95_2])])). 2.13/0.73 thf(f1944,plain,( 2.13/0.73 ($true = ((ord_less_int @ (h @ x)) @ (h @ x))) | (~spl95_1 | ~spl95_2)), 2.13/0.73 inference(forward_demodulation,[],[f1931,f1815])). 2.13/0.73 thf(f1815,plain,( 2.13/0.73 ((h @ x) = (h @ sK0)) | ~spl95_1), 2.13/0.73 inference(avatar_component_clause,[],[f1813])). 2.13/0.73 thf(f1931,plain,( 2.13/0.73 ($true = ((ord_less_int @ (h @ sK0)) @ (h @ x))) | ~spl95_2), 2.13/0.73 inference(trivial_inequality_removal,[],[f1848])). 2.13/0.73 thf(f1848,plain,( 2.13/0.73 ($true != $true) | ($true = ((ord_less_int @ (h @ sK0)) @ (h @ x))) | ~spl95_2), 2.13/0.73 inference(superposition,[],[f1443,f1820])). 2.13/0.73 thf(f1820,plain,( 2.13/0.73 ($true = ((member_a @ sK0) @ ((binary504661350_eqs_a @ h) @ e))) | ~spl95_2), 2.13/0.73 inference(avatar_component_clause,[],[f1818])). 2.13/0.73 thf(f1443,plain,( 2.13/0.73 ( ! [X0 : a] : (($true != ((member_a @ X0) @ ((binary504661350_eqs_a @ h) @ e))) | ($true = ((ord_less_int @ (h @ X0)) @ (h @ x)))) )), 2.13/0.73 inference(cnf_transformation,[],[f1027])). 2.13/0.73 thf(f1027,plain,( 2.13/0.73 ! [X0 : a] : (($true = ((ord_less_int @ (h @ X0)) @ (h @ x))) | ($true != ((member_a @ X0) @ ((binary504661350_eqs_a @ h) @ e))))), 2.13/0.73 inference(ennf_transformation,[],[f490])). 2.13/0.73 thf(f490,plain,( 2.13/0.73 ! [X0 : a] : (($true = ((member_a @ X0) @ ((binary504661350_eqs_a @ h) @ e))) => ($true = ((ord_less_int @ (h @ X0)) @ (h @ x))))), 2.13/0.73 inference(fool_elimination,[],[f489])). 2.13/0.73 thf(f489,plain,( 2.13/0.73 ! [X0 : a] : (((member_a @ X0) @ ((binary504661350_eqs_a @ h) @ e)) => ((ord_less_int @ (h @ X0)) @ (h @ x)))), 2.13/0.73 inference(rectify,[],[f163])). 2.13/0.73 thf(f163,axiom,( 2.13/0.73 ! [X28 : a] : (((member_a @ X28) @ ((binary504661350_eqs_a @ h) @ e)) => ((ord_less_int @ (h @ X28)) @ (h @ x)))), 2.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_eqsLessX)). 2.13/0.73 thf(f1821,plain,( 2.13/0.73 spl95_2), 2.13/0.73 inference(avatar_split_clause,[],[f1347,f1818])). 2.13/0.73 thf(f1347,plain,( 2.13/0.73 ($true = ((member_a @ sK0) @ ((binary504661350_eqs_a @ h) @ e)))), 2.13/0.73 inference(cnf_transformation,[],[f1239])). 2.13/0.73 thf(f1239,plain,( 2.13/0.73 ((h @ x) = (h @ sK0)) & ($true = ((member_a @ sK0) @ ((binary504661350_eqs_a @ h) @ e)))), 2.13/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1017,f1238])). 2.13/0.73 thf(f1238,plain,( 2.13/0.73 ? [X0 : a] : (((h @ x) = (h @ X0)) & ($true = ((member_a @ X0) @ ((binary504661350_eqs_a @ h) @ e)))) => (((h @ x) = (h @ sK0)) & ($true = ((member_a @ sK0) @ ((binary504661350_eqs_a @ h) @ e))))), 2.13/0.73 introduced(choice_axiom,[])). 2.13/0.73 thf(f1017,plain,( 2.13/0.73 ? [X0 : a] : (((h @ x) = (h @ X0)) & ($true = ((member_a @ X0) @ ((binary504661350_eqs_a @ h) @ e))))), 2.13/0.73 inference(ennf_transformation,[],[f364])). 2.13/0.73 thf(f364,plain,( 2.13/0.73 ~! [X0 : a] : (($true = ((member_a @ X0) @ ((binary504661350_eqs_a @ h) @ e))) => ((h @ x) != (h @ X0)))), 2.13/0.73 inference(fool_elimination,[],[f363])). 2.13/0.73 thf(f363,plain,( 2.13/0.73 ~! [X0 : a] : (((member_a @ X0) @ ((binary504661350_eqs_a @ h) @ e)) => ((h @ x) != (h @ X0)))), 2.13/0.73 inference(rectify,[],[f180])). 2.13/0.73 thf(f180,negated_conjecture,( 2.13/0.73 ~! [X18 : a] : (((member_a @ X18) @ ((binary504661350_eqs_a @ h) @ e)) => ((h @ x) != (h @ X18)))), 2.13/0.73 inference(negated_conjecture,[],[f179])). 2.13/0.73 thf(f179,conjecture,( 2.13/0.73 ! [X18 : a] : (((member_a @ X18) @ ((binary504661350_eqs_a @ h) @ e)) => ((h @ x) != (h @ X18)))), 2.13/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 2.13/0.73 thf(f1816,plain,( 2.13/0.73 spl95_1), 2.13/0.73 inference(avatar_split_clause,[],[f1348,f1813])). 2.13/0.73 thf(f1348,plain,( 2.13/0.73 ((h @ x) = (h @ sK0))), 2.13/0.73 inference(cnf_transformation,[],[f1239])). 2.13/0.73 % SZS output end Proof for theBenchmark 2.13/0.73 % (27141)------------------------------ 2.13/0.73 % (27141)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 2.13/0.73 % (27141)Termination reason: Refutation 2.13/0.73 2.13/0.73 % (27141)Memory used [KB]: 14328 2.13/0.73 % (27141)Time elapsed: 0.290 s 2.13/0.73 % (27141)------------------------------ 2.13/0.73 % (27141)------------------------------ 2.13/0.73 % (27121)Success in time 0.352 s 2.13/0.73 EOF