0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d 0.13/0.34 % Computer : n007.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 13:14:04 EDT 2021 0.13/0.34 % CPUTime : 0.19/0.34 This is a THF_ problem 0.19/0.34 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.35 Running in auto input_syntax mode. Trying TPTP 0.19/0.40 % (7293)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 0.19/0.40 % (7287)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 0.19/0.40 % (7282)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 0.19/0.41 % (7286)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 0.19/0.41 % (7281)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 0.19/0.41 % (7292)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 0.19/0.42 % (7304)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 0.19/0.42 % (7296)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 0.19/0.42 % (7283)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 0.19/0.42 % (7285)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 0.19/0.43 % (7310)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 0.19/0.43 % (7309)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 0.19/0.43 % (7288)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 0.19/0.43 % (7305)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 0.19/0.43 % (7289)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 0.19/0.43 % (7302)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 0.19/0.43 % (7300)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 0.19/0.43 % (7284)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 0.19/0.44 % (7297)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 0.19/0.44 % (7303)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 0.19/0.44 % (7301)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 0.19/0.44 % (7308)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 0.19/0.44 % (7307)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 0.19/0.44 % (7291)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 0.19/0.44 % (7290)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 0.19/0.45 % (7294)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 0.19/0.45 % (7295)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 0.19/0.45 % (7299)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 0.19/0.45 % (7306)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 0.19/0.45 % (7298)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 0.19/0.46 % (7285)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.46 % (7287)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.47 % (7283)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.19/0.48 % (7304)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.48 % (7288)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.49 % (7298)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.49 % (7306)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.49 % (7297)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.50 % (7296)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.19/0.50 % (7294)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.50 % (7290)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.51 % (7305)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.51 % (7289)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.19/0.51 % (7297)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.19/0.51 % (7300)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.19/0.52 % (7303)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.19/0.52 % (7290)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.19/0.53 % (7283)Refutation not found, incomplete strategy% (7283)------------------------------ 0.19/0.53 % (7283)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.53 % (7283)Termination reason: Refutation not found, incomplete strategy 0.19/0.53 0.19/0.53 % (7283)Memory used [KB]: 11001 0.19/0.53 % (7283)Time elapsed: 0.158 s 0.19/0.53 % (7283)------------------------------ 0.19/0.53 % (7283)------------------------------ 0.19/0.53 % (7295)Refutation not found, incomplete strategy% (7295)------------------------------ 0.19/0.53 % (7295)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.53 % (7295)Termination reason: Refutation not found, incomplete strategy 0.19/0.53 0.19/0.53 % (7295)Memory used [KB]: 6652 0.19/0.53 % (7295)Time elapsed: 0.160 s 0.19/0.53 % (7295)------------------------------ 0.19/0.53 % (7295)------------------------------ 0.19/0.54 % (7292)Refutation not found, incomplete strategy% (7292)------------------------------ 0.19/0.54 % (7292)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.54 % (7292)Termination reason: Refutation not found, incomplete strategy 0.19/0.54 0.19/0.54 % (7292)Memory used [KB]: 11385 0.19/0.54 % (7292)Time elapsed: 0.170 s 0.19/0.54 % (7292)------------------------------ 0.19/0.54 % (7292)------------------------------ 0.19/0.55 % (7307)Refutation not found, incomplete strategy% (7307)------------------------------ 0.19/0.55 % (7307)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.55 % (7307)Termination reason: Refutation not found, incomplete strategy 0.19/0.55 0.19/0.55 % (7307)Memory used [KB]: 11129 0.19/0.55 % (7307)Time elapsed: 0.183 s 0.19/0.55 % (7307)------------------------------ 0.19/0.55 % (7307)------------------------------ 0.19/0.56 % (7285)First to succeed. 0.19/0.57 % (7296)Refutation not found, incomplete strategy% (7296)------------------------------ 0.19/0.57 % (7296)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.57 % (7296)Termination reason: Refutation not found, incomplete strategy 0.19/0.57 0.19/0.57 % (7296)Memory used [KB]: 11769 0.19/0.57 % (7296)Time elapsed: 0.183 s 0.19/0.57 % (7296)------------------------------ 0.19/0.57 % (7296)------------------------------ 0.19/0.58 % (7310)Refutation not found, incomplete strategy% (7310)------------------------------ 0.19/0.58 % (7310)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.58 % (7310)Termination reason: Refutation not found, incomplete strategy 0.19/0.58 0.19/0.58 % (7310)Memory used [KB]: 11385 0.19/0.58 % (7310)Time elapsed: 0.199 s 0.19/0.58 % (7310)------------------------------ 0.19/0.58 % (7310)------------------------------ 0.19/0.58 % (7379)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 0.19/0.58 % (7381)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:cases=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark 0.19/0.58 % (7285)Refutation found. Thanks to Tanya! 0.19/0.58 % SZS status Theorem for theBenchmark 0.19/0.58 % SZS output start Proof for theBenchmark 0.19/0.58 thf(type_def_6, type, set_Pr158363655iset_a: $tType). 0.19/0.58 thf(type_def_7, type, produc1127127335iset_a: $tType). 0.19/0.58 thf(type_def_8, type, set_Product_prod_a_a: $tType). 0.19/0.58 thf(type_def_9, type, multiset_multiset_a: $tType). 0.19/0.58 thf(type_def_10, type, set_multiset_a: $tType). 0.19/0.58 thf(type_def_11, type, product_prod_a_a: $tType). 0.19/0.58 thf(type_def_12, type, multiset_a: $tType). 0.19/0.58 thf(type_def_13, type, tree_a: $tType). 0.19/0.58 thf(type_def_14, type, set_a: $tType). 0.19/0.58 thf(type_def_15, type, a: $tType). 0.19/0.58 thf(type_def_16, type, >: ($tType * $tType) > $tType). 0.19/0.58 thf(func_def_17, type, minus_1649712171iset_a: multiset_a > multiset_a > multiset_a). 0.19/0.58 thf(func_def_18, type, plus_plus_multiset_a: multiset_a > multiset_a > multiset_a). 0.19/0.58 thf(func_def_19, type, zero_zero_multiset_a: multiset_a). 0.19/0.58 thf(func_def_20, type, nO_MAT1617603563iset_a: multiset_a > multiset_a > $o). 0.19/0.58 thf(func_def_21, type, heapIm970322378pify_a: tree_a > tree_a). 0.19/0.58 thf(func_def_22, type, heapIm1140443833left_a: tree_a > tree_a). 0.19/0.58 thf(func_def_23, type, heapIm1257206334ight_a: tree_a > tree_a). 0.19/0.58 thf(func_def_24, type, heapIm1091024090Down_a: tree_a > tree_a). 0.19/0.58 thf(func_def_25, type, e_a: tree_a). 0.19/0.58 thf(func_def_26, type, t_a: a > tree_a > tree_a > tree_a). 0.19/0.58 thf(func_def_27, type, in_tree_a: a > tree_a > $o). 0.19/0.58 thf(func_def_28, type, is_heap_a: tree_a > $o). 0.19/0.58 thf(func_def_29, type, multiset_a2: tree_a > multiset_a). 0.19/0.58 thf(func_def_30, type, val_a: tree_a > a). 0.19/0.58 thf(func_def_31, type, lattic146396397_Max_a: set_a > a). 0.19/0.58 thf(func_def_32, type, add_mset_a: a > multiset_a > multiset_a). 0.19/0.58 thf(func_def_33, type, comm_m315775925iset_a: (multiset_a > multiset_a > multiset_a) > multiset_a > multiset_multiset_a > multiset_a). 0.19/0.58 thf(func_def_34, type, fold_m382157835iset_a: (multiset_a > multiset_a > multiset_a) > multiset_a > multiset_multiset_a > multiset_a). 0.19/0.58 thf(func_def_35, type, fold_m364285649iset_a: (a > multiset_a > multiset_a) > multiset_a > multiset_a > multiset_a). 0.19/0.58 thf(func_def_36, type, is_empty_a: multiset_a > $o). 0.19/0.58 thf(func_def_37, type, mult1_a: set_Product_prod_a_a > set_Pr158363655iset_a). 0.19/0.58 thf(func_def_38, type, mult_a: set_Product_prod_a_a > set_Pr158363655iset_a). 0.19/0.58 thf(func_def_39, type, set_mset_multiset_a: multiset_multiset_a > set_multiset_a). 0.19/0.58 thf(func_def_40, type, set_mset_a: multiset_a > set_a). 0.19/0.58 thf(func_def_41, type, ord_le1199012836iset_a: multiset_a > multiset_a > $o). 0.19/0.58 thf(func_def_42, type, ord_less_eq_a: a > a > $o). 0.19/0.58 thf(func_def_43, type, order_Greatest_a: (a > $o) > a). 0.19/0.58 thf(func_def_44, type, produc2037245207iset_a: multiset_a > multiset_a > produc1127127335iset_a). 0.19/0.58 thf(func_def_45, type, product_Pair_a_a: a > a > product_prod_a_a). 0.19/0.58 thf(func_def_46, type, irrefl_a: set_Product_prod_a_a > $o). 0.19/0.58 thf(func_def_47, type, trans_a: set_Product_prod_a_a > $o). 0.19/0.58 thf(func_def_48, type, collect_a: (a > $o) > set_a). 0.19/0.58 thf(func_def_49, type, member_multiset_a: multiset_a > set_multiset_a > $o). 0.19/0.58 thf(func_def_50, type, member340150864iset_a: produc1127127335iset_a > set_Pr158363655iset_a > $o). 0.19/0.58 thf(func_def_51, type, member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 0.19/0.58 thf(func_def_52, type, member_a: a > set_a > $o). 0.19/0.58 thf(func_def_53, type, l: tree_a). 0.19/0.58 thf(func_def_54, type, r: tree_a). 0.19/0.58 thf(func_def_55, type, v: a). 0.19/0.58 thf(func_def_57, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 0.19/0.58 thf(func_def_60, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 0.19/0.58 thf(func_def_61, type, vAND: $o > $o > $o). 0.19/0.58 thf(func_def_62, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 0.19/0.58 thf(func_def_63, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 0.19/0.58 thf(func_def_64, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 0.19/0.58 thf(func_def_65, type, vIMP: $o > $o > $o). 0.19/0.58 thf(func_def_66, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 0.19/0.58 thf(func_def_67, type, vOR: $o > $o > $o). 0.19/0.58 thf(func_def_68, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 0.19/0.58 thf(func_def_69, type, sP0: a > a > a > $o). 0.19/0.58 thf(func_def_70, type, sP1: a > a > a > $o). 0.19/0.58 thf(func_def_71, type, sK2: tree_a > a). 0.19/0.58 thf(func_def_72, type, sK3: tree_a > a). 0.19/0.58 thf(func_def_73, type, sK4: tree_a > tree_a). 0.19/0.58 thf(func_def_74, type, sK5: tree_a > tree_a). 0.19/0.58 thf(func_def_75, type, sK6: tree_a > a). 0.19/0.58 thf(func_def_76, type, sK7: tree_a > tree_a). 0.19/0.58 thf(func_def_77, type, sK8: tree_a > tree_a). 0.19/0.58 thf(func_def_78, type, sK9: tree_a > a). 0.19/0.58 thf(func_def_79, type, sK10: tree_a > a). 0.19/0.58 thf(func_def_80, type, sK11: tree_a > tree_a). 0.19/0.58 thf(func_def_81, type, sK12: tree_a > tree_a). 0.19/0.58 thf(func_def_82, type, sK13: tree_a > a). 0.19/0.58 thf(func_def_83, type, sK14: tree_a > a). 0.19/0.58 thf(func_def_84, type, sK15: tree_a > tree_a). 0.19/0.58 thf(func_def_85, type, sK16: tree_a > tree_a). 0.19/0.58 thf(func_def_86, type, sK17: tree_a > a). 0.19/0.58 thf(func_def_87, type, sK18: tree_a > a). 0.19/0.58 thf(func_def_88, type, sK19: tree_a > a). 0.19/0.58 thf(func_def_89, type, sK20: tree_a > tree_a). 0.19/0.58 thf(func_def_90, type, sK21: tree_a > tree_a). 0.19/0.58 thf(func_def_91, type, sK22: tree_a > a). 0.19/0.58 thf(func_def_92, type, sK23: tree_a > tree_a). 0.19/0.58 thf(func_def_93, type, sK24: tree_a > tree_a). 0.19/0.58 thf(func_def_94, type, sK25: tree_a > a). 0.19/0.58 thf(func_def_95, type, sK26: tree_a > a). 0.19/0.58 thf(func_def_96, type, sK27: tree_a > tree_a). 0.19/0.58 thf(func_def_97, type, sK28: tree_a > tree_a). 0.19/0.58 thf(func_def_98, type, sK29: tree_a > a). 0.19/0.58 thf(func_def_99, type, sK30: tree_a > a). 0.19/0.58 thf(func_def_100, type, sK31: tree_a > tree_a). 0.19/0.58 thf(func_def_101, type, sK32: tree_a > tree_a). 0.19/0.58 thf(func_def_102, type, sK33: tree_a > a). 0.19/0.58 thf(func_def_103, type, sK34: tree_a > a). 0.19/0.58 thf(func_def_104, type, sK35: tree_a > tree_a). 0.19/0.58 thf(func_def_105, type, sK36: tree_a > tree_a). 0.19/0.58 thf(func_def_106, type, sK37: multiset_a > a). 0.19/0.58 thf(func_def_107, type, sK38: multiset_a > a). 0.19/0.58 thf(func_def_108, type, sK39: multiset_a > multiset_a). 0.19/0.58 thf(func_def_109, type, sK40: multiset_a > multiset_a). 0.19/0.58 thf(func_def_110, type, sK41: multiset_a > a). 0.19/0.58 thf(func_def_111, type, sK42: (multiset_a > $o) > a). 0.19/0.58 thf(func_def_112, type, sK43: (multiset_a > $o) > multiset_a). 0.19/0.58 thf(func_def_113, type, sK44: (multiset_a > $o) > a). 0.19/0.58 thf(func_def_114, type, sK45: (multiset_a > $o) > multiset_a). 0.19/0.58 thf(func_def_115, type, sK46: (multiset_a > $o) > a). 0.19/0.58 thf(func_def_116, type, sK47: (multiset_a > $o) > multiset_a). 0.19/0.58 thf(func_def_117, type, sK48: (tree_a > $o) > a). 0.19/0.58 thf(func_def_118, type, sK49: (tree_a > $o) > tree_a). 0.19/0.58 thf(func_def_119, type, sK50: (tree_a > $o) > tree_a). 0.19/0.58 thf(func_def_120, type, sK51: a > (a > $o) > a). 0.19/0.58 thf(func_def_121, type, sK52: multiset_a > a > multiset_a). 0.19/0.58 thf(func_def_122, type, sK53: multiset_a > a > multiset_a). 0.19/0.58 thf(func_def_123, type, sK54: (a > a > $o) > a). 0.19/0.58 thf(func_def_124, type, sK55: (a > a > $o) > a). 0.19/0.58 thf(func_def_125, type, sK56: (a > a > $o) > a). 0.19/0.58 thf(func_def_126, type, sK57: (a > a > $o) > a). 0.19/0.58 thf(func_def_127, type, sK58: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a). 0.19/0.58 thf(func_def_128, type, sK59: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a). 0.19/0.58 thf(func_def_129, type, sK60: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a). 0.19/0.58 thf(func_def_130, type, sK61: a > multiset_a > multiset_a > set_Product_prod_a_a > a). 0.19/0.58 thf(func_def_131, type, sK62: (a > $o) > (a > $o) > a). 0.19/0.58 thf(func_def_132, type, sK63: a > (a > $o) > a). 0.19/0.58 thf(func_def_133, type, sK64: (multiset_a > multiset_a > $o) > a). 0.19/0.58 thf(func_def_134, type, sK65: (multiset_a > multiset_a > $o) > multiset_a). 0.19/0.58 thf(func_def_135, type, sK66: (multiset_a > multiset_a > $o) > multiset_a). 0.19/0.58 thf(func_def_136, type, sK67: (multiset_a > multiset_a > $o) > a). 0.19/0.58 thf(func_def_137, type, sK68: (multiset_a > multiset_a > $o) > multiset_a). 0.19/0.58 thf(func_def_138, type, sK69: (multiset_a > multiset_a > $o) > multiset_a). 0.19/0.58 thf(func_def_139, type, sK70: set_Product_prod_a_a > multiset_a > multiset_a > a). 0.19/0.58 thf(func_def_140, type, sK71: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a). 0.19/0.58 thf(func_def_141, type, sK72: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a). 0.19/0.58 thf(func_def_142, type, sK73: set_Product_prod_a_a > multiset_a > multiset_a > a). 0.19/0.58 thf(func_def_143, type, sK74: (a > a) > a). 0.19/0.58 thf(func_def_144, type, sK75: (a > a) > a). 0.19/0.58 thf(func_def_145, type, sK76: a > tree_a > tree_a). 0.19/0.58 thf(func_def_146, type, sK77: a > tree_a > a). 0.19/0.58 thf(func_def_147, type, sK78: a > tree_a > tree_a). 0.19/0.58 thf(func_def_148, type, sK79: (a > a) > a). 0.19/0.58 thf(func_def_149, type, sK80: (a > a) > a). 0.19/0.58 thf(func_def_150, type, sK81: (a > a) > a). 0.19/0.58 thf(func_def_151, type, sK82: (a > a) > a). 0.19/0.58 thf(func_def_152, type, sK83: (a > a) > a). 0.19/0.58 thf(func_def_153, type, sK84: (a > a) > a). 0.19/0.58 thf(func_def_154, type, sK85: set_Product_prod_a_a > multiset_a > a > multiset_a > multiset_a). 0.19/0.58 thf(func_def_155, type, sK86: set_Product_prod_a_a > multiset_a > a > multiset_a > multiset_a). 0.19/0.58 thf(func_def_156, type, sK87: set_Product_prod_a_a > multiset_a > a > a). 0.19/0.58 thf(func_def_158, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 0.19/0.58 thf(func_def_159, type, vNOT: $o > $o). 0.19/0.58 thf(func_def_160, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 0.19/0.58 thf(func_def_161, type, sK89: multiset_a > a > multiset_a > a > multiset_a). 0.19/0.58 thf(func_def_162, type, sK90: multiset_multiset_a > a > multiset_a). 0.19/0.58 thf(func_def_163, type, sK91: multiset_multiset_a > multiset_a). 0.19/0.58 thf(f1292,plain,( 0.19/0.58 $false), 0.19/0.58 inference(avatar_sat_refutation,[],[f1216,f1286,f1288,f1291])). 0.19/0.58 thf(f1291,plain,( 0.19/0.58 ~spl88_3), 0.19/0.58 inference(avatar_contradiction_clause,[],[f1290])). 0.19/0.58 thf(f1290,plain,( 0.19/0.58 $false | ~spl88_3), 0.19/0.58 inference(subsumption_resolution,[],[f1289,f588])). 0.19/0.58 thf(f588,plain,( 0.19/0.58 ((is_heap_a @ (heapIm970322378pify_a @ (((t_a @ v) @ l) @ r))) != $true)), 0.19/0.58 inference(cnf_transformation,[],[f358])). 0.19/0.58 thf(f358,plain,( 0.19/0.58 ((is_heap_a @ (heapIm970322378pify_a @ (((t_a @ v) @ l) @ r))) != $true)), 0.19/0.58 inference(flattening,[],[f147])). 0.19/0.58 thf(f147,plain,( 0.19/0.58 ~((is_heap_a @ (heapIm970322378pify_a @ (((t_a @ v) @ l) @ r))) = $true)), 0.19/0.58 inference(fool_elimination,[],[f146])). 0.19/0.58 thf(f146,plain,( 0.19/0.58 ~(is_heap_a @ (heapIm970322378pify_a @ (((t_a @ v) @ l) @ r)))), 0.19/0.58 inference(rectify,[],[f4])). 0.19/0.58 thf(f4,negated_conjecture,( 0.19/0.58 ~(is_heap_a @ (heapIm970322378pify_a @ (((t_a @ v) @ l) @ r)))), 0.19/0.58 inference(negated_conjecture,[],[f3])). 0.19/0.58 thf(f3,conjecture,( 0.19/0.58 (is_heap_a @ (heapIm970322378pify_a @ (((t_a @ v) @ l) @ r)))), 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 0.19/0.58 thf(f1289,plain,( 0.19/0.58 ((is_heap_a @ (heapIm970322378pify_a @ (((t_a @ v) @ l) @ r))) = $true) | ~spl88_3), 0.19/0.58 inference(forward_demodulation,[],[f1215,f675])). 0.19/0.58 thf(f675,plain,( 0.19/0.58 ( ! [X2 : tree_a,X0 : a,X1 : tree_a] : (((heapIm970322378pify_a @ (((t_a @ X0) @ X1) @ X2)) = (heapIm1091024090Down_a @ (((t_a @ X0) @ (heapIm970322378pify_a @ X1)) @ (heapIm970322378pify_a @ X2))))) )), 0.19/0.58 inference(cnf_transformation,[],[f391])). 0.19/0.58 thf(f391,plain,( 0.19/0.58 ! [X0 : a,X1 : tree_a,X2 : tree_a] : ((heapIm970322378pify_a @ (((t_a @ X0) @ X1) @ X2)) = (heapIm1091024090Down_a @ (((t_a @ X0) @ (heapIm970322378pify_a @ X1)) @ (heapIm970322378pify_a @ X2))))), 0.19/0.58 inference(rectify,[],[f126])). 0.19/0.58 thf(f126,axiom,( 0.19/0.58 ! [X0 : a,X51 : tree_a,X35 : tree_a] : ((heapIm970322378pify_a @ (((t_a @ X0) @ X51) @ X35)) = (heapIm1091024090Down_a @ (((t_a @ X0) @ (heapIm970322378pify_a @ X51)) @ (heapIm970322378pify_a @ X35))))), 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_heapify_Osimps_I2_J)). 0.19/0.58 thf(f1215,plain,( 0.19/0.58 ((is_heap_a @ (heapIm1091024090Down_a @ (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)))) = $true) | ~spl88_3), 0.19/0.58 inference(avatar_component_clause,[],[f1213])). 0.19/0.58 thf(f1213,plain,( 0.19/0.58 spl88_3 <=> ((is_heap_a @ (heapIm1091024090Down_a @ (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)))) = $true)), 0.19/0.58 introduced(avatar_definition,[new_symbols(naming,[spl88_3])])). 0.19/0.58 thf(f1288,plain,( 0.19/0.58 spl88_1), 0.19/0.58 inference(avatar_contradiction_clause,[],[f1287])). 0.19/0.58 thf(f1287,plain,( 0.19/0.58 $false | spl88_1), 0.19/0.58 inference(subsumption_resolution,[],[f1207,f792])). 0.19/0.58 thf(f792,plain,( 0.19/0.58 ((is_heap_a @ (heapIm970322378pify_a @ l)) = $true)), 0.19/0.58 inference(cnf_transformation,[],[f355])). 0.19/0.58 thf(f355,plain,( 0.19/0.58 ((is_heap_a @ (heapIm970322378pify_a @ l)) = $true)), 0.19/0.58 inference(fool_elimination,[],[f354])). 0.19/0.58 thf(f354,plain,( 0.19/0.58 (is_heap_a @ (heapIm970322378pify_a @ l))), 0.19/0.58 inference(rectify,[],[f105])). 0.19/0.58 thf(f105,axiom,( 0.19/0.58 (is_heap_a @ (heapIm970322378pify_a @ l))), 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_T_Ohyps_I1_J)). 0.19/0.58 thf(f1207,plain,( 0.19/0.58 ((is_heap_a @ (heapIm970322378pify_a @ l)) != $true) | spl88_1), 0.19/0.58 inference(avatar_component_clause,[],[f1205])). 0.19/0.58 thf(f1205,plain,( 0.19/0.58 spl88_1 <=> ((is_heap_a @ (heapIm970322378pify_a @ l)) = $true)), 0.19/0.58 introduced(avatar_definition,[new_symbols(naming,[spl88_1])])). 0.19/0.58 thf(f1286,plain,( 0.19/0.58 spl88_2), 0.19/0.58 inference(avatar_contradiction_clause,[],[f1285])). 0.19/0.58 thf(f1285,plain,( 0.19/0.58 $false | spl88_2), 0.19/0.58 inference(subsumption_resolution,[],[f1211,f793])). 0.19/0.58 thf(f793,plain,( 0.19/0.58 ((is_heap_a @ (heapIm970322378pify_a @ r)) = $true)), 0.19/0.58 inference(cnf_transformation,[],[f357])). 0.19/0.58 thf(f357,plain,( 0.19/0.58 ((is_heap_a @ (heapIm970322378pify_a @ r)) = $true)), 0.19/0.58 inference(fool_elimination,[],[f356])). 0.19/0.58 thf(f356,plain,( 0.19/0.58 (is_heap_a @ (heapIm970322378pify_a @ r))), 0.19/0.58 inference(rectify,[],[f65])). 0.19/0.58 thf(f65,axiom,( 0.19/0.58 (is_heap_a @ (heapIm970322378pify_a @ r))), 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_T_Ohyps_I2_J)). 0.19/0.58 thf(f1211,plain,( 0.19/0.58 ((is_heap_a @ (heapIm970322378pify_a @ r)) != $true) | spl88_2), 0.19/0.58 inference(avatar_component_clause,[],[f1209])). 0.19/0.58 thf(f1209,plain,( 0.19/0.58 spl88_2 <=> ((is_heap_a @ (heapIm970322378pify_a @ r)) = $true)), 0.19/0.58 introduced(avatar_definition,[new_symbols(naming,[spl88_2])])). 0.19/0.58 thf(f1216,plain,( 0.19/0.58 ~spl88_1 | ~spl88_2 | spl88_3), 0.19/0.58 inference(avatar_split_clause,[],[f1202,f1213,f1209,f1205])). 0.19/0.58 thf(f1202,plain,( 0.19/0.58 ((is_heap_a @ (heapIm1091024090Down_a @ (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)))) = $true) | ((is_heap_a @ (heapIm970322378pify_a @ r)) != $true) | ((is_heap_a @ (heapIm970322378pify_a @ l)) != $true)), 0.19/0.58 inference(trivial_inequality_removal,[],[f600])). 0.19/0.58 thf(f600,plain,( 0.19/0.58 ((is_heap_a @ (heapIm1091024090Down_a @ (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)))) = $true) | ((((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)) != (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r))) | ((is_heap_a @ (heapIm970322378pify_a @ r)) != $true) | ((is_heap_a @ (heapIm970322378pify_a @ l)) != $true)), 0.19/0.58 inference(cnf_transformation,[],[f403])). 0.19/0.58 thf(f403,plain,( 0.19/0.58 ((is_heap_a @ (heapIm1091024090Down_a @ (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)))) = $true) | ((((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)) != (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r))) | ((is_heap_a @ (heapIm970322378pify_a @ r)) != $true) | ((is_heap_a @ (heapIm970322378pify_a @ l)) != $true)), 0.19/0.58 inference(flattening,[],[f402])). 0.19/0.58 thf(f402,plain,( 0.19/0.58 ((((is_heap_a @ (heapIm1091024090Down_a @ (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)))) = $true) | ((((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)) != (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)))) | ((is_heap_a @ (heapIm970322378pify_a @ r)) != $true)) | ((is_heap_a @ (heapIm970322378pify_a @ l)) != $true)), 0.19/0.58 inference(ennf_transformation,[],[f163])). 0.19/0.58 thf(f163,plain,( 0.19/0.58 ((is_heap_a @ (heapIm970322378pify_a @ l)) = $true) => (((is_heap_a @ (heapIm970322378pify_a @ r)) = $true) => (((((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)) = (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r))) => ((is_heap_a @ (heapIm1091024090Down_a @ (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)))) = $true)))), 0.19/0.58 inference(fool_elimination,[],[f162])). 0.19/0.58 thf(f162,plain,( 0.19/0.58 (is_heap_a @ (heapIm970322378pify_a @ l)) => ((is_heap_a @ (heapIm970322378pify_a @ r)) => (((((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)) = (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r))) => (is_heap_a @ (heapIm1091024090Down_a @ (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r))))))), 0.19/0.58 inference(rectify,[],[f130])). 0.19/0.58 thf(f130,axiom,( 0.19/0.58 (is_heap_a @ (heapIm970322378pify_a @ l)) => ((is_heap_a @ (heapIm970322378pify_a @ r)) => (((((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r)) = (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r))) => (is_heap_a @ (heapIm1091024090Down_a @ (((t_a @ v) @ (heapIm970322378pify_a @ l)) @ (heapIm970322378pify_a @ r))))))), 0.19/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_062_092_060lbrakk_062is__heap_A_Iheapify_Al_J_059_Ais__heap_A_Iheapify_Ar_J_059_AT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_A_061_AT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Ais__heap_A_IsiftDown_A_IT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_J_J_092_060close_062)). 0.19/0.58 % SZS output end Proof for theBenchmark 0.19/0.58 % (7285)------------------------------ 0.19/0.58 % (7285)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.58 % (7285)Termination reason: Refutation 0.19/0.58 0.19/0.58 % (7285)Memory used [KB]: 6908 0.19/0.58 % (7285)Time elapsed: 0.059 s 0.19/0.58 % (7285)------------------------------ 0.19/0.58 % (7285)------------------------------ 0.19/0.58 % (7275)Success in time 0.229 s 0.19/0.58 EOF