0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d 0.09/0.29 % Computer : n026.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 1200 0.09/0.29 % WCLimit : 120 0.09/0.29 % DateTime : Tue Jul 13 15:57:44 EDT 2021 0.09/0.30 % CPUTime : 0.09/0.30 This is a THF_ problem 0.09/0.30 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.09/0.30 Running in auto input_syntax mode. Trying TPTP 0.15/0.36 % (13390)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark 0.15/0.36 % (13388)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off:thsq=on_3 on theBenchmark 0.15/0.37 % (13384)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on:thsq=on_3 on theBenchmark 0.15/0.37 % (13382)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark 0.15/0.37 % (13383)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_2 on theBenchmark 0.15/0.37 % (13392)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on:thsq=on_40 on theBenchmark 0.15/0.37 % (13391)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1:thsq=on_3 on theBenchmark 0.15/0.38 % (13404)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on:thsq=on_8 on theBenchmark 0.15/0.38 % (13405)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:cases=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off:thsq=on_50 on theBenchmark 0.15/0.38 % (13387)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off:thsq=on_14 on theBenchmark 0.15/0.38 % (13397)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity:thsq=on_7 on theBenchmark 0.15/0.38 % (13385)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on:thsq=on_2 on theBenchmark 0.15/0.38 % (13396)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on:thsq=on_1 on theBenchmark 0.15/0.39 % (13386)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark 0.15/0.39 % (13389)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark 0.15/0.40 % (13395)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off:thsq=on_9 on theBenchmark 0.15/0.40 % (13406)lrs+1011_5_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off:thsq=on_130 on theBenchmark 0.15/0.40 % (13393)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on:thsq=on_2 on theBenchmark 0.15/0.40 % (13394)dis+1002_6_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark 0.15/0.40 % (13407)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:cases=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark 0.15/0.41 % (13409)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:cases=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_186 on theBenchmark 0.15/0.41 % (13410)dis+1002_4_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark 0.15/0.41 % (13408)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off:thsq=on_300 on theBenchmark 0.15/0.41 % (13411)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:cases=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on:thsq=on_50 on theBenchmark 0.15/0.42 % (13401)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all:thsq=on_8 on theBenchmark 0.15/0.42 % (13402)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on:thsq=on_41 on theBenchmark 0.15/0.42 % (13400)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence:thsq=on_6 on theBenchmark 0.15/0.42 % (13403)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_30 on theBenchmark 0.15/0.42 % (13399)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off:thsq=on_30 on theBenchmark 0.15/0.42 % (13398)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence:thsq=on_300 on theBenchmark 0.15/0.47 % (13388)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.49 % (13389)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.50 % (13405)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.51 % (13391)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.51 % (13395)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.52 % (13407)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.52 % (13386)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.53 % (13399)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.54 % (13398)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.54 % (13384)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.15/0.55 % (13404)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.15/0.57 % (13406)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.58 % (13397)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.14/0.64 % (13390)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.48/0.65 % (13391)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.48/0.67 % (13396)First to succeed. 2.48/0.67 % (13401)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.48/0.67 % (13396)Refutation found. Thanks to Tanya! 2.48/0.67 % SZS status Theorem for theBenchmark 2.48/0.67 % SZS output start Proof for theBenchmark 2.48/0.67 thf(type_def_6, type, set_c_a: $tType). 2.48/0.67 thf(type_def_7, type, set_a_c: $tType). 2.48/0.67 thf(type_def_8, type, set_a_b: $tType). 2.48/0.67 thf(type_def_9, type, set_a_a: $tType). 2.48/0.67 thf(type_def_10, type, set_c: $tType). 2.48/0.67 thf(type_def_11, type, set_b: $tType). 2.48/0.67 thf(type_def_12, type, set_a: $tType). 2.48/0.67 thf(type_def_13, type, c: $tType). 2.48/0.67 thf(type_def_14, type, b: $tType). 2.48/0.67 thf(type_def_15, type, a: $tType). 2.48/0.67 thf(type_def_16, type, >: ($tType * $tType) > $tType). 2.48/0.67 thf(func_def_17, type, comp_a_a_a: (a > a) > (a > a) > a > a). 2.48/0.67 thf(func_def_18, type, comp_a_a_c: (a > a) > (c > a) > c > a). 2.48/0.67 thf(func_def_19, type, comp_a_b_a: (a > b) > (a > a) > a > b). 2.48/0.67 thf(func_def_20, type, comp_a_b_b: (a > b) > (b > a) > b > b). 2.48/0.67 thf(func_def_21, type, comp_a_b_c: (a > b) > (c > a) > c > b). 2.48/0.67 thf(func_def_22, type, comp_a_c_a: (a > c) > (a > a) > a > c). 2.48/0.67 thf(func_def_23, type, comp_a_c_c: (a > c) > (c > a) > c > c). 2.48/0.67 thf(func_def_24, type, comp_b_a_a: (b > a) > (a > b) > a > a). 2.48/0.67 thf(func_def_25, type, comp_b_a_c: (b > a) > (c > b) > c > a). 2.48/0.67 thf(func_def_26, type, comp_b_b_a: (b > b) > (a > b) > a > b). 2.48/0.67 thf(func_def_27, type, comp_b_b_b: (b > b) > (b > b) > b > b). 2.48/0.67 thf(func_def_28, type, comp_b_b_c: (b > b) > (c > b) > c > b). 2.48/0.67 thf(func_def_29, type, comp_b_c_a: (b > c) > (a > b) > a > c). 2.48/0.67 thf(func_def_30, type, comp_b_c_c: (b > c) > (c > b) > c > c). 2.48/0.67 thf(func_def_31, type, comp_c_a_a: (c > a) > (a > c) > a > a). 2.48/0.67 thf(func_def_32, type, comp_c_a_b: (c > a) > (b > c) > b > a). 2.48/0.67 thf(func_def_33, type, comp_c_a_c: (c > a) > (c > c) > c > a). 2.48/0.67 thf(func_def_34, type, comp_c_b_a: (c > b) > (a > c) > a > b). 2.48/0.67 thf(func_def_35, type, comp_c_b_b: (c > b) > (b > c) > b > b). 2.48/0.67 thf(func_def_36, type, comp_c_b_c: (c > b) > (c > c) > c > b). 2.48/0.67 thf(func_def_37, type, comp_c_c_a: (c > c) > (a > c) > a > c). 2.48/0.67 thf(func_def_38, type, comp_c_c_c: (c > c) > (c > c) > c > c). 2.48/0.67 thf(func_def_39, type, inj_on_a_a_a_b: ((a > a) > a > b) > set_a_a > $o). 2.48/0.67 thf(func_def_40, type, inj_on_a_b_a_b: ((a > b) > a > b) > set_a_b > $o). 2.48/0.68 thf(func_def_41, type, inj_on_a_c_a_b: ((a > c) > a > b) > set_a_c > $o). 2.48/0.68 thf(func_def_42, type, inj_on_c_a_c_a: ((c > a) > c > a) > set_c_a > $o). 2.48/0.68 thf(func_def_43, type, inj_on_c_a_c_b: ((c > a) > c > b) > set_c_a > $o). 2.48/0.68 thf(func_def_44, type, inj_on_c_a_c_c: ((c > a) > c > c) > set_c_a > $o). 2.48/0.68 thf(func_def_45, type, inj_on_c_a_a: ((c > a) > a) > set_c_a > $o). 2.48/0.68 thf(func_def_46, type, inj_on_a_a: (a > a) > set_a > $o). 2.48/0.68 thf(func_def_47, type, inj_on_a_b: (a > b) > set_a > $o). 2.48/0.68 thf(func_def_48, type, inj_on_a_c: (a > c) > set_a > $o). 2.48/0.68 thf(func_def_49, type, inj_on_b_a: (b > a) > set_b > $o). 2.48/0.68 thf(func_def_50, type, inj_on_b_b: (b > b) > set_b > $o). 2.48/0.68 thf(func_def_51, type, inj_on_b_c: (b > c) > set_b > $o). 2.48/0.68 thf(func_def_52, type, inj_on_c_a: (c > a) > set_c > $o). 2.48/0.68 thf(func_def_53, type, inj_on_c_b: (c > b) > set_c > $o). 2.48/0.68 thf(func_def_54, type, inj_on_c_c: (c > c) > set_c > $o). 2.48/0.68 thf(func_def_55, type, sup_sup_set_c_a: set_c_a > set_c_a > set_c_a). 2.48/0.68 thf(func_def_56, type, sup_sup_set_a: set_a > set_a > set_a). 2.48/0.68 thf(func_def_57, type, sup_sup_set_b: set_b > set_b > set_b). 2.48/0.68 thf(func_def_58, type, sup_sup_set_c: set_c > set_c > set_c). 2.48/0.68 thf(func_def_59, type, top_top_set_a_a: set_a_a). 2.48/0.68 thf(func_def_60, type, top_top_set_a_b: set_a_b). 2.48/0.68 thf(func_def_61, type, top_top_set_a_c: set_a_c). 2.48/0.68 thf(func_def_62, type, top_top_set_c_a: set_c_a). 2.48/0.68 thf(func_def_63, type, top_top_set_a: set_a). 2.48/0.68 thf(func_def_64, type, top_top_set_b: set_b). 2.48/0.68 thf(func_def_65, type, top_top_set_c: set_c). 2.48/0.68 thf(func_def_66, type, collect_a: (a > $o) > set_a). 2.48/0.68 thf(func_def_67, type, image_c_a_a: ((c > a) > a) > set_c_a > set_a). 2.48/0.68 thf(func_def_68, type, image_a_a: (a > a) > set_a > set_a). 2.48/0.68 thf(func_def_69, type, image_a_b: (a > b) > set_a > set_b). 2.48/0.68 thf(func_def_70, type, image_a_c: (a > c) > set_a > set_c). 2.48/0.68 thf(func_def_71, type, image_b_a: (b > a) > set_b > set_a). 2.48/0.68 thf(func_def_72, type, image_b_b: (b > b) > set_b > set_b). 2.48/0.68 thf(func_def_73, type, image_b_c: (b > c) > set_b > set_c). 2.48/0.68 thf(func_def_74, type, image_c_c_a: (c > c > a) > set_c > set_c_a). 2.48/0.68 thf(func_def_75, type, image_c_a: (c > a) > set_c > set_a). 2.48/0.68 thf(func_def_76, type, image_c_b: (c > b) > set_c > set_b). 2.48/0.68 thf(func_def_77, type, image_c_c: (c > c) > set_c > set_c). 2.48/0.68 thf(func_def_78, type, member_c_a: (c > a) > set_c_a > $o). 2.48/0.68 thf(func_def_79, type, member_a: a > set_a > $o). 2.48/0.68 thf(func_def_80, type, member_b: b > set_b > $o). 2.48/0.68 thf(func_def_81, type, member_c: c > set_c > $o). 2.48/0.68 thf(func_def_82, type, f: a > b). 2.48/0.68 thf(func_def_83, type, g: c > a). 2.48/0.68 thf(func_def_84, type, h: c > a). 2.48/0.68 thf(func_def_86, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 2.48/0.68 thf(func_def_89, type, vIMP: $o > $o > $o). 2.48/0.68 thf(func_def_90, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 2.48/0.68 thf(func_def_91, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 2.48/0.68 thf(func_def_92, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 2.48/0.68 thf(func_def_93, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 2.48/0.68 thf(func_def_94, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 2.48/0.68 thf(func_def_95, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 2.48/0.68 thf(func_def_96, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 2.48/0.68 thf(func_def_97, type, vAND: $o > $o > $o). 2.48/0.68 thf(func_def_98, type, sK0: (a > b) > (a > b) > (c > a) > (c > a) > a). 2.48/0.68 thf(func_def_99, type, sK1: (a > b) > (a > b) > (c > a) > (c > a) > a). 2.48/0.68 thf(func_def_100, type, sK2: (a > b) > (a > b) > (c > a) > a). 2.48/0.68 thf(func_def_101, type, sK3: (a > b) > (a > b) > (c > a) > a). 2.48/0.68 thf(func_def_102, type, sK4: (a > c) > (c > a) > a). 2.48/0.68 thf(func_def_103, type, sK5: a > (c > a) > c). 2.48/0.68 thf(func_def_104, type, sK6: a > (c > a) > c). 2.48/0.68 thf(func_def_105, type, sK7: (a > b) > (b > a) > set_a > a). 2.48/0.68 thf(func_def_106, type, sK8: (a > b) > (a > b) > set_a > a). 2.48/0.68 thf(func_def_107, type, sK9: (a > b) > set_a > a). 2.48/0.68 thf(func_def_108, type, sK10: (a > b) > set_a > a). 2.48/0.68 thf(func_def_109, type, sK11: (a > b) > a). 2.48/0.68 thf(func_def_110, type, sK12: (a > b) > a). 2.48/0.68 thf(func_def_111, type, sK13: (a > b) > (a > b) > (a > a) > (a > a) > a). 2.48/0.68 thf(func_def_112, type, sK14: (a > b) > (a > b) > (a > a) > (a > a) > a). 2.48/0.68 thf(func_def_113, type, sK15: (a > b) > (a > b) > (a > a) > a). 2.48/0.68 thf(func_def_114, type, sK16: (a > b) > (a > b) > (a > a) > a). 2.48/0.68 thf(func_def_115, type, sK17: (a > b) > (a > b) > (a > a) > a). 2.48/0.68 thf(func_def_116, type, sK18: (b > b) > (b > b) > (a > b) > (a > b) > b). 2.48/0.68 thf(func_def_117, type, sK19: (b > b) > (b > b) > (a > b) > (a > b) > b). 2.48/0.68 thf(func_def_118, type, sK20: (b > b) > (b > b) > (a > b) > b). 2.48/0.68 thf(func_def_119, type, sK21: (b > b) > (b > b) > (a > b) > b). 2.48/0.68 thf(func_def_120, type, sK22: (b > b) > (b > b) > (a > b) > b). 2.48/0.68 thf(func_def_121, type, sK23: (b > a) > (a > b) > b). 2.48/0.68 thf(func_def_122, type, sK24: b > (a > b) > a). 2.48/0.68 thf(func_def_123, type, sK25: b > (a > b) > a). 2.48/0.68 thf(func_def_124, type, sK26: (b > c) > (c > b) > b). 2.48/0.68 thf(func_def_125, type, sK27: b > (c > b) > c). 2.48/0.68 thf(func_def_126, type, sK28: b > (c > b) > c). 2.48/0.68 thf(func_def_127, type, sK29: (a > a) > (a > a) > set_a > a). 2.48/0.68 thf(func_def_128, type, sK30: (a > a) > (a > a) > set_a > a). 2.48/0.68 thf(func_def_129, type, sK31: (a > a) > (a > b) > set_a > a). 2.48/0.68 thf(func_def_130, type, sK32: (a > a) > (a > b) > set_a > a). 2.48/0.68 thf(func_def_131, type, sK33: (a > a) > (a > c) > set_a > a). 2.48/0.68 thf(func_def_132, type, sK34: (a > a) > (a > c) > set_a > a). 2.48/0.68 thf(func_def_133, type, sK35: (a > a) > (a > a) > a). 2.48/0.68 thf(func_def_134, type, sK36: a > (a > a) > a). 2.48/0.68 thf(func_def_135, type, sK37: a > (a > a) > a). 2.48/0.68 thf(func_def_136, type, sK38: (c > b) > c). 2.48/0.68 thf(func_def_137, type, sK39: (c > b) > c). 2.48/0.68 thf(func_def_138, type, sK40: (c > a) > (a > c) > set_c > c). 2.48/0.68 thf(func_def_139, type, sK41: (c > a) > (c > a) > set_c > c). 2.48/0.68 thf(func_def_140, type, sK42: (c > a) > set_c > c). 2.48/0.68 thf(func_def_141, type, sK43: (c > a) > set_c > c). 2.48/0.68 thf(func_def_142, type, sK44: (c > a) > c). 2.48/0.68 thf(func_def_143, type, sK45: (c > a) > c). 2.48/0.68 thf(func_def_144, type, sK46: (b > b) > b). 2.48/0.68 thf(func_def_145, type, sK47: (b > b) > b). 2.48/0.68 thf(func_def_146, type, sK48: (b > b) > (b > b) > set_b > b). 2.48/0.68 thf(func_def_147, type, sK49: (b > b) > (b > b) > set_b > b). 2.48/0.68 thf(func_def_148, type, sK50: (b > b) > set_b > b). 2.48/0.68 thf(func_def_149, type, sK51: (b > b) > set_b > b). 2.48/0.68 thf(func_def_150, type, sK52: (c > b) > (c > b) > (a > c) > (a > c) > c). 2.48/0.68 thf(func_def_151, type, sK53: (c > b) > (c > b) > (a > c) > (a > c) > c). 2.48/0.68 thf(func_def_152, type, sK54: (c > b) > (c > b) > (a > c) > c). 2.48/0.68 thf(func_def_153, type, sK55: (c > b) > (c > b) > (a > c) > c). 2.48/0.68 thf(func_def_154, type, sK56: (c > b) > (b > c) > set_c > c). 2.48/0.68 thf(func_def_155, type, sK57: (c > b) > (c > b) > set_c > c). 2.48/0.68 thf(func_def_156, type, sK58: (c > b) > set_c > c). 2.48/0.68 thf(func_def_157, type, sK59: (c > b) > set_c > c). 2.48/0.68 thf(func_def_158, type, sK60: (a > a) > (a > a) > set_a > a). 2.48/0.68 thf(func_def_159, type, sK61: (a > a) > (a > a) > set_a > a). 2.48/0.68 thf(func_def_160, type, sK62: (a > a) > set_a > a). 2.48/0.68 thf(func_def_161, type, sK63: (a > a) > set_a > a). 2.48/0.68 thf(func_def_162, type, sK64: (a > a) > a). 2.48/0.68 thf(func_def_163, type, sK65: (a > a) > a). 2.48/0.68 thf(func_def_164, type, sK66: (a > c) > (c > a) > set_a > a). 2.48/0.68 thf(func_def_165, type, sK67: (a > c) > (a > c) > set_a > a). 2.48/0.68 thf(func_def_166, type, sK68: (a > c) > set_a > a). 2.48/0.68 thf(func_def_167, type, sK69: (a > c) > set_a > a). 2.48/0.68 thf(func_def_168, type, sK70: (a > c) > a). 2.48/0.68 thf(func_def_169, type, sK71: (a > c) > a). 2.48/0.68 thf(func_def_170, type, sK72: (c > a) > (a > c) > c). 2.48/0.68 thf(func_def_171, type, sK73: c > (a > c) > a). 2.48/0.68 thf(func_def_172, type, sK74: c > (a > c) > a). 2.48/0.68 thf(func_def_173, type, sK75: (c > c) > (c > c) > c). 2.48/0.68 thf(func_def_174, type, sK76: c > (c > c) > c). 2.48/0.68 thf(func_def_175, type, sK77: c > (c > c) > c). 2.48/0.68 thf(func_def_176, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 2.48/0.68 thf(func_def_180, type, sK78: c). 2.48/0.68 thf(f1639,plain,( 2.48/0.68 $false), 2.48/0.68 inference(global_subsumption,[],[f1203,f1494,f1638])). 2.48/0.68 thf(f1638,plain,( 2.48/0.68 (g = h) | (((bCOMB @ f) @ g) != ((bCOMB @ f) @ h))), 2.48/0.68 inference(trivial_inequality_removal,[],[f1620])). 2.48/0.68 thf(f1620,plain,( 2.48/0.68 ($true != $true) | (g = h) | (((bCOMB @ f) @ g) != ((bCOMB @ f) @ h))), 2.48/0.68 inference(superposition,[],[f1513,f1205])). 2.48/0.68 thf(f1205,plain,( 2.48/0.68 (((inj_on_a_b @ f) @ ((sup_sup_set_a @ ((image_c_a @ g) @ top_top_set_c)) @ ((image_c_a @ h) @ top_top_set_c))) = $true)), 2.48/0.68 inference(cnf_transformation,[],[f360])). 2.48/0.68 thf(f360,plain,( 2.48/0.68 (((inj_on_a_b @ f) @ ((sup_sup_set_a @ ((image_c_a @ g) @ top_top_set_c)) @ ((image_c_a @ h) @ top_top_set_c))) = $true)), 2.48/0.68 inference(fool_elimination,[],[f359])). 2.48/0.68 thf(f359,plain,( 2.48/0.68 ((inj_on_a_b @ f) @ ((sup_sup_set_a @ ((image_c_a @ g) @ top_top_set_c)) @ ((image_c_a @ h) @ top_top_set_c)))), 2.48/0.68 inference(rectify,[],[f31])). 2.48/0.68 thf(f31,axiom,( 2.48/0.68 ((inj_on_a_b @ f) @ ((sup_sup_set_a @ ((image_c_a @ g) @ top_top_set_c)) @ ((image_c_a @ h) @ top_top_set_c)))), 2.48/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 2.48/0.68 thf(f1513,plain,( 2.48/0.68 ( ! [X2 : c > a,X0 : a > b,X1 : c > a] : (($true != ((inj_on_a_b @ X0) @ ((sup_sup_set_a @ ((image_c_a @ X1) @ top_top_set_c)) @ ((image_c_a @ X2) @ top_top_set_c)))) | (X1 = X2) | (((bCOMB @ X0) @ X1) != ((bCOMB @ X0) @ X2))) )), 2.48/0.68 inference(definition_unfolding,[],[f1224,f1230,f1230])). 2.48/0.68 thf(f1230,plain,( 2.48/0.68 (comp_a_b_c = bCOMB)), 2.48/0.68 inference(cnf_transformation,[],[f380])). 2.48/0.68 thf(f380,plain,( 2.48/0.68 (comp_a_b_c = bCOMB)), 2.48/0.68 inference(fool_elimination,[],[f379])). 2.48/0.68 thf(f379,plain,( 2.48/0.68 (comp_a_b_c = (^[X0 : a > b, X1 : c > a, X2 : c] : ((X0 @ (X1 @ X2)))))), 2.48/0.68 inference(rectify,[],[f155])). 2.48/0.68 thf(f155,axiom,( 2.48/0.68 (comp_a_b_c = (^[X16 : a > b, X17 : c > a, X4 : c] : ((X16 @ (X17 @ X4)))))), 2.48/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_comp__def)). 2.48/0.68 thf(f1224,plain,( 2.48/0.68 ( ! [X2 : c > a,X0 : a > b,X1 : c > a] : ((X1 = X2) | ($true != ((inj_on_a_b @ X0) @ ((sup_sup_set_a @ ((image_c_a @ X1) @ top_top_set_c)) @ ((image_c_a @ X2) @ top_top_set_c)))) | (((comp_a_b_c @ X0) @ X1) != ((comp_a_b_c @ X0) @ X2))) )), 2.48/0.68 inference(cnf_transformation,[],[f891])). 2.48/0.68 thf(f891,plain,( 2.48/0.68 ! [X0 : a > b,X1 : c > a,X2 : c > a] : ((X1 = X2) | ($true != ((inj_on_a_b @ X0) @ ((sup_sup_set_a @ ((image_c_a @ X1) @ top_top_set_c)) @ ((image_c_a @ X2) @ top_top_set_c)))) | (((comp_a_b_c @ X0) @ X1) != ((comp_a_b_c @ X0) @ X2)))), 2.48/0.68 inference(flattening,[],[f890])). 2.48/0.68 thf(f890,plain,( 2.48/0.68 ! [X0 : a > b,X1 : c > a,X2 : c > a] : (((X1 = X2) | ($true != ((inj_on_a_b @ X0) @ ((sup_sup_set_a @ ((image_c_a @ X1) @ top_top_set_c)) @ ((image_c_a @ X2) @ top_top_set_c))))) | (((comp_a_b_c @ X0) @ X1) != ((comp_a_b_c @ X0) @ X2)))), 2.48/0.68 inference(ennf_transformation,[],[f532])). 2.48/0.68 thf(f532,plain,( 2.48/0.68 ! [X0 : a > b,X1 : c > a,X2 : c > a] : ((((comp_a_b_c @ X0) @ X1) = ((comp_a_b_c @ X0) @ X2)) => (($true = ((inj_on_a_b @ X0) @ ((sup_sup_set_a @ ((image_c_a @ X1) @ top_top_set_c)) @ ((image_c_a @ X2) @ top_top_set_c)))) => (X1 = X2)))), 2.48/0.68 inference(fool_elimination,[],[f531])). 2.48/0.68 thf(f531,plain,( 2.48/0.68 ! [X0 : a > b,X1 : c > a,X2 : c > a] : ((((comp_a_b_c @ X0) @ X1) = ((comp_a_b_c @ X0) @ X2)) => (((inj_on_a_b @ X0) @ ((sup_sup_set_a @ ((image_c_a @ X1) @ top_top_set_c)) @ ((image_c_a @ X2) @ top_top_set_c))) => (X1 = X2)))), 2.48/0.68 inference(rectify,[],[f222])). 2.48/0.68 thf(f222,axiom,( 2.48/0.68 ! [X1 : a > b,X0 : c > a,X15 : c > a] : ((((comp_a_b_c @ X1) @ X15) = ((comp_a_b_c @ X1) @ X0)) => (((inj_on_a_b @ X1) @ ((sup_sup_set_a @ ((image_c_a @ X0) @ top_top_set_c)) @ ((image_c_a @ X15) @ top_top_set_c))) => (X0 = X15)))), 2.48/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_o__inj__on)). 2.48/0.68 thf(f1494,plain,( 2.48/0.68 (((bCOMB @ f) @ g) = ((bCOMB @ f) @ h))), 2.48/0.68 inference(definition_unfolding,[],[f1204,f1230,f1230])). 2.48/0.68 thf(f1204,plain,( 2.48/0.68 (((comp_a_b_c @ f) @ g) = ((comp_a_b_c @ f) @ h))), 2.48/0.68 inference(cnf_transformation,[],[f66])). 2.48/0.68 thf(f66,axiom,( 2.48/0.68 (((comp_a_b_c @ f) @ g) = ((comp_a_b_c @ f) @ h))), 2.48/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)). 2.48/0.68 thf(f1203,plain,( 2.48/0.68 (g != h)), 2.48/0.68 inference(cnf_transformation,[],[f787])). 2.48/0.68 thf(f787,plain,( 2.48/0.68 (g != h)), 2.48/0.68 inference(flattening,[],[f47])). 2.48/0.68 thf(f47,negated_conjecture,( 2.48/0.68 ~(g = h)), 2.48/0.68 inference(negated_conjecture,[],[f46])). 2.48/0.68 thf(f46,conjecture,( 2.48/0.68 (g = h)), 2.48/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)). 2.48/0.68 % SZS output end Proof for theBenchmark 2.48/0.68 % (13396)------------------------------ 2.48/0.68 % (13396)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 2.48/0.68 % (13396)Termination reason: Refutation 2.48/0.68 2.48/0.68 % (13396)Memory used [KB]: 8571 2.48/0.68 % (13396)Time elapsed: 0.323 s 2.48/0.68 % (13396)------------------------------ 2.48/0.68 % (13396)------------------------------ 2.48/0.68 % (13381)Success in time 0.37 s 2.48/0.68 EOF