0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.15 % Command : run_vampire %s %d 0.14/0.37 % Computer : n005.cluster.edu 0.14/0.37 % Model : x86_64 x86_64 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.37 % Memory : 8042.1875MB 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.37 % CPULimit : 1200 0.14/0.37 % WCLimit : 120 0.14/0.37 % DateTime : Tue Jul 13 15:39:48 EDT 2021 0.14/0.37 % CPUTime : 0.14/0.37 This is a THF_ problem 0.14/0.37 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.38 Running in auto input_syntax mode. Trying TPTP 0.23/0.43 % (26004)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 0.23/0.43 % (26012)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 0.23/0.44 % (25993)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 0.23/0.45 % (26001)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 % (25997)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 0.23/0.45 % (26002)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 0.23/0.45 % (26003)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 0.23/0.46 % (25992)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 % (25994)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 0.23/0.46 % (26007)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 0.23/0.46 % (25999)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 0.23/0.47 % (26016)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 0.23/0.47 % (26008)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 0.23/0.47 % (26020)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 0.23/0.47 % (26014)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 0.23/0.47 % (25996)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 0.23/0.47 % (25995)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 0.23/0.47 % (26013)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 0.23/0.48 % (26006)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 0.23/0.48 % (26015)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 0.23/0.48 % (26000)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 0.23/0.48 % (26021)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 0.23/0.48 % (26017)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 % (26018)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 0.23/0.48 % (26019)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 0.23/0.49 % (26005)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 0.23/0.49 % (26010)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 0.23/0.49 % (26011)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 0.23/0.49 % (25998)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 0.23/0.49 % (26009)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 0.23/0.56 % (26008)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.58 % (26001)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.58 % (25996)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.58 % (25999)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.59 % (26009)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.60 % (26017)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.60 % (26016)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.61 % (25998)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.62 % (26005)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.63 % (26015)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.23/0.63 % (25994)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.78/0.65 % (26014)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.78/0.66 % (26007)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.78/0.66 % (26001)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.78/0.67 % (26008)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.78/0.67 % (26000)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.78/0.69 % (26011)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.83/0.84 % (25994)First to succeed. 2.83/0.84 % (25994)Refutation found. Thanks to Tanya! 2.83/0.84 % SZS status Theorem for theBenchmark 2.83/0.84 % SZS output start Proof for theBenchmark 2.83/0.84 thf(type_def_6, type, set_Pr1702239303tate_o: $tType). 2.83/0.84 thf(type_def_7, type, produc1307154919tate_o: $tType). 2.83/0.84 thf(type_def_8, type, set_Pr1590995257tate_o: $tType). 2.83/0.84 thf(type_def_9, type, set_Pr778812871_state: $tType). 2.83/0.84 thf(type_def_10, type, produc696469763tate_o: $tType). 2.83/0.84 thf(type_def_11, type, set_Pr1490359111at_nat: $tType). 2.83/0.84 thf(type_def_12, type, produc1390548711_state: $tType). 2.83/0.84 thf(type_def_13, type, produc842455143at_nat: $tType). 2.83/0.84 thf(type_def_14, type, set_Pr1740974983tate_o: $tType). 2.83/0.84 thf(type_def_15, type, produc204914599tate_o: $tType). 2.83/0.84 thf(type_def_16, type, set_Pr795498619_state: $tType). 2.83/0.84 thf(type_def_17, type, set_Pr1986765409at_nat: $tType). 2.83/0.84 thf(type_def_18, type, produc1115495963_state: $tType). 2.83/0.84 thf(type_def_19, type, product_prod_nat_nat: $tType). 2.83/0.84 thf(type_def_20, type, set_state: $tType). 2.83/0.84 thf(type_def_21, type, set_nat: $tType). 2.83/0.84 thf(type_def_22, type, state: $tType). 2.83/0.84 thf(type_def_23, type, com: $tType). 2.83/0.84 thf(type_def_24, type, nat: $tType). 2.83/0.84 thf(type_def_25, type, a: $tType). 2.83/0.84 thf(type_def_26, type, >: ($tType * $tType) > $tType). 2.83/0.84 thf(func_def_27, type, suc: nat > nat). 2.83/0.84 thf(func_def_28, type, order_aboveS_nat: set_Pr1986765409at_nat > nat > set_nat). 2.83/0.84 thf(func_def_29, type, order_aboveS_state: set_Pr795498619_state > state > set_state). 2.83/0.84 thf(func_def_30, type, order_1121016664tate_o: set_Pr1702239303tate_o > produc696469763tate_o > set_Pr1590995257tate_o). 2.83/0.84 thf(func_def_31, type, order_665764460at_nat: set_Pr1490359111at_nat > product_prod_nat_nat > set_Pr1986765409at_nat). 2.83/0.84 thf(func_def_32, type, order_2027321734_state: set_Pr778812871_state > produc1115495963_state > set_Pr795498619_state). 2.83/0.84 thf(func_def_33, type, order_130026331on_nat: set_nat > set_Pr1986765409at_nat > $o). 2.83/0.84 thf(func_def_34, type, order_286167592_state: set_state > set_Pr795498619_state > $o). 2.83/0.84 thf(func_def_35, type, order_50454158tate_o: set_Pr1590995257tate_o > set_Pr1702239303tate_o > $o). 2.83/0.84 thf(func_def_36, type, order_721919926at_nat: set_Pr1986765409at_nat > set_Pr1490359111at_nat > $o). 2.83/0.84 thf(func_def_37, type, order_178668240_state: set_Pr795498619_state > set_Pr778812871_state > $o). 2.83/0.84 thf(func_def_38, type, bot_bo2130564770te_o_o: (a > state > $o) > produc204914599tate_o > $o). 2.83/0.84 thf(func_def_39, type, bot_bot_nat_nat_o: nat > nat > $o). 2.83/0.84 thf(func_def_40, type, bot_bo935656620te_o_o: com > (a > state > $o) > $o). 2.83/0.84 thf(func_def_41, type, bot_bo51534648tate_o: state > state > $o). 2.83/0.84 thf(func_def_42, type, bot_bo250281208te_o_o: produc696469763tate_o > $o). 2.83/0.84 thf(func_def_43, type, bot_bo513358416_nat_o: product_prod_nat_nat > $o). 2.83/0.84 thf(func_def_44, type, bot_bo446391478tate_o: produc1115495963_state > $o). 2.83/0.84 thf(func_def_45, type, bot_bot_set_nat: set_nat). 2.83/0.84 thf(func_def_46, type, bot_bot_set_state: set_state). 2.83/0.84 thf(func_def_47, type, bot_bo170732493tate_o: set_Pr1590995257tate_o). 2.83/0.84 thf(func_def_48, type, bot_bo2130386637at_nat: set_Pr1986765409at_nat). 2.83/0.84 thf(func_def_49, type, bot_bo1692783091tate_o: set_Pr1740974983tate_o). 2.83/0.84 thf(func_def_50, type, bot_bo1625160935_state: set_Pr795498619_state). 2.83/0.84 thf(func_def_51, type, bot_bo1714653363tate_o: set_Pr1702239303tate_o). 2.83/0.84 thf(func_def_52, type, bot_bo34127283at_nat: set_Pr1490359111at_nat). 2.83/0.84 thf(func_def_53, type, bot_bo1331673139_state: set_Pr778812871_state). 2.83/0.84 thf(func_def_54, type, ord_less_nat: nat > nat > $o). 2.83/0.84 thf(func_def_55, type, pHoare382919414oare_a: set_Pr1590995257tate_o > (a > state > $o) > com > (a > state > $o) > $o). 2.83/0.84 thf(func_def_56, type, hoare_a: set_Pr1590995257tate_o > (a > state > $o) > com > (a > state > $o) > $o). 2.83/0.84 thf(func_def_57, type, body: com). 2.83/0.84 thf(func_def_58, type, call: com). 2.83/0.84 thf(func_def_59, type, semi: com > com > com). 2.83/0.84 thf(func_def_60, type, while: (state > $o) > com > com). 2.83/0.84 thf(func_def_61, type, exec: state > com > state > $o). 2.83/0.84 thf(func_def_62, type, execn: state > com > nat > state > $o). 2.83/0.84 thf(func_def_63, type, termi: com > state > $o). 2.83/0.84 thf(func_def_64, type, produc33908149tate_o: (a > state > $o) > produc204914599tate_o > produc696469763tate_o). 2.83/0.84 thf(func_def_65, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 2.83/0.84 thf(func_def_66, type, produc1948644831tate_o: com > (a > state > $o) > produc204914599tate_o). 2.83/0.84 thf(func_def_67, type, produc64584659_state: state > state > produc1115495963_state). 2.83/0.84 thf(func_def_68, type, produc1684562079tate_o: produc696469763tate_o > produc696469763tate_o > produc1307154919tate_o). 2.83/0.84 thf(func_def_69, type, produc1168807639at_nat: product_prod_nat_nat > product_prod_nat_nat > produc842455143at_nat). 2.83/0.84 thf(func_def_70, type, produc1964772951_state: produc1115495963_state > produc1115495963_state > produc1390548711_state). 2.83/0.84 thf(func_def_71, type, produc385877620_nat_o: (nat > nat > $o) > product_prod_nat_nat > $o). 2.83/0.84 thf(func_def_72, type, produc938968666tate_o: (state > state > $o) > produc1115495963_state > $o). 2.83/0.84 thf(func_def_73, type, produc1271576886te_o_o: ((a > state > $o) > produc204914599tate_o > $o) > produc696469763tate_o > $o). 2.83/0.84 thf(func_def_74, type, produc949581770_nat_o: (nat > nat > $o) > product_prod_nat_nat > $o). 2.83/0.84 thf(func_def_75, type, produc1610543495tate_o: (nat > nat > set_Pr1590995257tate_o) > product_prod_nat_nat > set_Pr1590995257tate_o). 2.83/0.84 thf(func_def_76, type, produc1915186323at_nat: (nat > nat > set_Pr1986765409at_nat) > product_prod_nat_nat > set_Pr1986765409at_nat). 2.83/0.84 thf(func_def_77, type, produc1654445_state: (nat > nat > set_Pr795498619_state) > product_prod_nat_nat > set_Pr795498619_state). 2.83/0.84 thf(func_def_78, type, produc281270436te_o_o: (com > (a > state > $o) > $o) > produc204914599tate_o > $o). 2.83/0.84 thf(func_def_79, type, produc789892016tate_o: (state > state > $o) > produc1115495963_state > $o). 2.83/0.84 thf(func_def_80, type, irrefl_nat: set_Pr1986765409at_nat > $o). 2.83/0.84 thf(func_def_81, type, refl_on_nat: set_nat > set_Pr1986765409at_nat > $o). 2.83/0.84 thf(func_def_82, type, refl_on_state: set_state > set_Pr795498619_state > $o). 2.83/0.84 thf(func_def_83, type, refl_o489021252tate_o: set_Pr1590995257tate_o > set_Pr1702239303tate_o > $o). 2.83/0.84 thf(func_def_84, type, refl_o1619599232at_nat: set_Pr1986765409at_nat > set_Pr1490359111at_nat > $o). 2.83/0.84 thf(func_def_85, type, refl_o1438232218_state: set_Pr795498619_state > set_Pr778812871_state > $o). 2.83/0.84 thf(func_def_86, type, total_on_nat: set_nat > set_Pr1986765409at_nat > $o). 2.83/0.84 thf(func_def_87, type, total_on_state: set_state > set_Pr795498619_state > $o). 2.83/0.84 thf(func_def_88, type, total_795385983tate_o: set_Pr1590995257tate_o > set_Pr1702239303tate_o > $o). 2.83/0.84 thf(func_def_89, type, total_1775715973at_nat: set_Pr1986765409at_nat > set_Pr1490359111at_nat > $o). 2.83/0.84 thf(func_def_90, type, total_1316653983_state: set_Pr795498619_state > set_Pr778812871_state > $o). 2.83/0.84 thf(func_def_91, type, trans_nat: set_Pr1986765409at_nat > $o). 2.83/0.84 thf(func_def_92, type, collect_nat: (nat > $o) > set_nat). 2.83/0.84 thf(func_def_93, type, collect_state: (state > $o) > set_state). 2.83/0.84 thf(func_def_94, type, collec1499596504tate_o: (produc696469763tate_o > $o) > set_Pr1590995257tate_o). 2.83/0.84 thf(func_def_95, type, collec7649004at_nat: (product_prod_nat_nat > $o) > set_Pr1986765409at_nat). 2.83/0.84 thf(func_def_96, type, collec496201222_state: (produc1115495963_state > $o) > set_Pr795498619_state). 2.83/0.84 thf(func_def_97, type, insert_nat: nat > set_nat > set_nat). 2.83/0.84 thf(func_def_98, type, insert_state: state > set_state > set_state). 2.83/0.84 thf(func_def_99, type, insert2053719859tate_o: produc696469763tate_o > set_Pr1590995257tate_o > set_Pr1590995257tate_o). 2.83/0.84 thf(func_def_100, type, insert271595217at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat). 2.83/0.84 thf(func_def_101, type, insert311944171_state: produc1115495963_state > set_Pr795498619_state > set_Pr795498619_state). 2.83/0.84 thf(func_def_102, type, insert1597128631tate_o: produc1307154919tate_o > set_Pr1702239303tate_o > set_Pr1702239303tate_o). 2.83/0.84 thf(func_def_103, type, insert584009271at_nat: produc842455143at_nat > set_Pr1490359111at_nat > set_Pr1490359111at_nat). 2.83/0.84 thf(func_def_104, type, insert1616594103_state: produc1390548711_state > set_Pr778812871_state > set_Pr778812871_state). 2.83/0.84 thf(func_def_105, type, is_emp807847857tate_o: set_Pr1590995257tate_o > $o). 2.83/0.84 thf(func_def_106, type, is_emp825011411at_nat: set_Pr1986765409at_nat > $o). 2.83/0.84 thf(func_def_107, type, is_emp1062983149_state: set_Pr795498619_state > $o). 2.83/0.84 thf(func_def_108, type, is_sin1547905295tate_o: set_Pr1590995257tate_o > $o). 2.83/0.84 thf(func_def_109, type, is_sin1352690165at_nat: set_Pr1986765409at_nat > $o). 2.83/0.84 thf(func_def_110, type, is_sin1132515087_state: set_Pr795498619_state > $o). 2.83/0.84 thf(func_def_111, type, the_el1569055182tate_o: set_Pr1590995257tate_o > produc696469763tate_o). 2.83/0.84 thf(func_def_112, type, the_el1949240438at_nat: set_Pr1986765409at_nat > product_prod_nat_nat). 2.83/0.84 thf(func_def_113, type, the_el1967402896_state: set_Pr795498619_state > produc1115495963_state). 2.83/0.84 thf(func_def_114, type, less_than: set_Pr1986765409at_nat). 2.83/0.84 thf(func_def_115, type, measure_nat: (nat > nat) > set_Pr1986765409at_nat). 2.83/0.84 thf(func_def_116, type, measure_state: (state > nat) > set_Pr795498619_state). 2.83/0.84 thf(func_def_117, type, pred_nat: set_Pr1986765409at_nat). 2.83/0.84 thf(func_def_118, type, wf_nat: set_Pr1986765409at_nat > $o). 2.83/0.84 thf(func_def_119, type, wf_state: set_Pr795498619_state > $o). 2.83/0.84 thf(func_def_120, type, wf_Pro309705690tate_o: set_Pr1702239303tate_o > $o). 2.83/0.84 thf(func_def_121, type, wf_Pro745352042at_nat: set_Pr1490359111at_nat > $o). 2.83/0.84 thf(func_def_122, type, wf_Pro1783588484_state: set_Pr778812871_state > $o). 2.83/0.84 thf(func_def_123, type, member_nat: nat > set_nat > $o). 2.83/0.84 thf(func_def_124, type, member_state: state > set_state > $o). 2.83/0.84 thf(func_def_125, type, member1838112666tate_o: produc696469763tate_o > set_Pr1590995257tate_o > $o). 2.83/0.84 thf(func_def_126, type, member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o). 2.83/0.84 thf(func_def_127, type, member221067728tate_o: produc204914599tate_o > set_Pr1740974983tate_o > $o). 2.83/0.84 thf(func_def_128, type, member1389040324_state: produc1115495963_state > set_Pr795498619_state > $o). 2.83/0.84 thf(func_def_129, type, member1629320336tate_o: produc1307154919tate_o > set_Pr1702239303tate_o > $o). 2.83/0.84 thf(func_def_130, type, member2027625872at_nat: produc842455143at_nat > set_Pr1490359111at_nat > $o). 2.83/0.84 thf(func_def_131, type, member768948240_state: produc1390548711_state > set_Pr778812871_state > $o). 2.83/0.84 thf(func_def_132, type, pa: a > state > $o). 2.83/0.84 thf(func_def_133, type, qa: a > state > $o). 2.83/0.84 thf(func_def_134, type, r: set_Pr795498619_state). 2.83/0.84 thf(func_def_135, type, x: state). 2.83/0.84 thf(func_def_137, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 2.83/0.84 thf(func_def_140, type, vAND: $o > $o > $o). 2.83/0.84 thf(func_def_141, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 2.83/0.84 thf(func_def_142, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 2.83/0.84 thf(func_def_143, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 2.83/0.84 thf(func_def_144, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 2.83/0.84 thf(func_def_145, type, vNOT: $o > $o). 2.83/0.84 thf(func_def_146, type, vIMP: $o > $o > $o). 2.83/0.84 thf(func_def_147, type, vOR: $o > $o > $o). 2.83/0.84 thf(func_def_148, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 2.83/0.84 thf(func_def_149, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 2.83/0.84 thf(func_def_150, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 2.83/0.84 thf(func_def_151, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 2.83/0.84 thf(func_def_153, type, sP1: state > $o). 2.83/0.84 thf(func_def_154, type, sK2: state). 2.83/0.84 thf(func_def_155, type, sK3: state). 2.83/0.84 thf(func_def_156, type, sK4: a). 2.83/0.84 thf(func_def_157, type, sK5: a). 2.83/0.84 thf(func_def_158, type, sK6: state). 2.83/0.84 thf(func_def_159, type, sK7: state > state). 2.83/0.84 thf(func_def_160, type, sK8: state > state). 2.83/0.84 thf(func_def_161, type, sK9: state > a). 2.83/0.84 thf(func_def_162, type, sK10: state > a). 2.83/0.84 thf(func_def_163, type, sK11: state > state). 2.83/0.84 thf(func_def_164, type, sK12: com > state > (state > $o) > state). 2.83/0.84 thf(func_def_165, type, sK13: (a > state > $o) > (a > state > $o) > set_Pr795498619_state > state). 2.83/0.84 thf(func_def_166, type, sK14: set_Pr1590995257tate_o > produc696469763tate_o). 2.83/0.84 thf(func_def_167, type, sK15: (produc696469763tate_o > $o) > a > state > $o). 2.83/0.84 thf(func_def_168, type, sK16: (produc696469763tate_o > $o) > com). 2.83/0.84 thf(func_def_169, type, sK17: (produc696469763tate_o > $o) > a > state > $o). 2.83/0.84 thf(func_def_170, type, sK18: (produc204914599tate_o > $o) > com). 2.83/0.84 thf(func_def_171, type, sK19: (produc204914599tate_o > $o) > a > state > $o). 2.83/0.84 thf(func_def_172, type, sK20: (produc204914599tate_o > $o) > com). 2.83/0.84 thf(func_def_173, type, sK21: (produc204914599tate_o > $o) > a > state > $o). 2.83/0.84 thf(func_def_174, type, sK22: produc204914599tate_o > com). 2.83/0.84 thf(func_def_175, type, sK23: produc204914599tate_o > a > state > $o). 2.83/0.84 thf(func_def_176, type, sK24: produc696469763tate_o > a > state > $o). 2.83/0.84 thf(func_def_177, type, sK25: produc696469763tate_o > com). 2.83/0.84 thf(func_def_178, type, sK26: produc696469763tate_o > a > state > $o). 2.83/0.84 thf(func_def_179, type, sK27: produc204914599tate_o > com). 2.83/0.84 thf(func_def_180, type, sK28: produc204914599tate_o > a > state > $o). 2.83/0.84 thf(func_def_181, type, sK29: (produc696469763tate_o > $o) > a > state > $o). 2.83/0.84 thf(func_def_182, type, sK30: (produc696469763tate_o > $o) > produc204914599tate_o). 2.83/0.84 thf(func_def_183, type, sK31: (produc696469763tate_o > $o) > a > state > $o). 2.83/0.84 thf(func_def_184, type, sK32: (produc696469763tate_o > $o) > produc204914599tate_o). 2.83/0.84 thf(func_def_185, type, sK33: produc696469763tate_o > a > state > $o). 2.83/0.84 thf(func_def_186, type, sK34: produc696469763tate_o > produc204914599tate_o). 2.83/0.84 thf(func_def_187, type, sK35: produc696469763tate_o > a > state > $o). 2.83/0.84 thf(func_def_188, type, sK36: produc696469763tate_o > produc204914599tate_o). 2.83/0.84 thf(func_def_189, type, sK37: set_Pr1590995257tate_o > produc696469763tate_o > set_Pr1590995257tate_o). 2.83/0.84 thf(func_def_190, type, sK38: set_Pr1590995257tate_o > produc696469763tate_o > set_Pr1590995257tate_o). 2.83/0.84 thf(func_def_191, type, sK39: (a > state > $o) > (a > state > $o) > state). 2.83/0.84 thf(func_def_192, type, sK40: (a > state > $o) > (a > state > $o) > a). 2.83/0.84 thf(func_def_193, type, sK41: (a > state > $o) > (a > state > $o) > (a > state > $o) > (a > state > $o) > state). 2.83/0.84 thf(func_def_194, type, sK42: (a > state > $o) > (a > state > $o) > (a > state > $o) > (a > state > $o) > state). 2.83/0.84 thf(func_def_195, type, sK43: (a > state > $o) > (a > state > $o) > (a > state > $o) > (a > state > $o) > a). 2.83/0.84 thf(func_def_196, type, sK44: (a > state > $o) > (a > state > $o) > a). 2.83/0.84 thf(func_def_197, type, sK45: (a > state > $o) > (a > state > $o) > state). 2.83/0.84 thf(func_def_198, type, sK46: com > (state > $o) > (a > state > $o) > set_Pr1590995257tate_o > set_Pr795498619_state > state). 2.83/0.84 thf(func_def_199, type, sK47: (a > state > $o) > (a > state > $o) > a). 2.83/0.84 thf(func_def_200, type, sK48: (a > state > $o) > (a > state > $o) > state). 2.83/0.84 thf(func_def_201, type, sK49: (produc1115495963_state > $o) > state). 2.83/0.84 thf(func_def_202, type, sK50: (produc1115495963_state > $o) > state). 2.83/0.84 thf(func_def_203, type, sK51: (produc1115495963_state > $o) > state). 2.83/0.84 thf(func_def_204, type, sK52: (produc1115495963_state > $o) > state). 2.83/0.84 thf(func_def_205, type, sK53: produc1115495963_state > state). 2.83/0.84 thf(func_def_206, type, sK54: produc1115495963_state > state). 2.83/0.84 thf(func_def_207, type, sK55: produc1115495963_state > state). 2.83/0.84 thf(func_def_208, type, sK56: produc1115495963_state > state). 2.83/0.84 thf(func_def_209, type, sK57: set_Pr795498619_state > produc1115495963_state). 2.83/0.84 thf(func_def_210, type, sK58: (state > state > $o) > (state > state > $o) > produc1115495963_state > state). 2.83/0.84 thf(func_def_211, type, sK59: (state > state > $o) > (state > state > $o) > produc1115495963_state > state). 2.83/0.84 thf(func_def_212, type, sK60: produc1115495963_state > (state > state > $o) > ($o > $o) > state). 2.83/0.84 thf(func_def_213, type, sK61: produc1115495963_state > (state > state > $o) > ($o > $o) > state). 2.83/0.84 thf(func_def_214, type, sK62: produc1115495963_state > (state > state > $o) > state). 2.83/0.84 thf(func_def_215, type, sK63: produc1115495963_state > (state > state > $o) > state). 2.83/0.84 thf(func_def_216, type, sK64: (state > state > $o) > produc1115495963_state > state). 2.83/0.84 thf(func_def_217, type, sK65: (state > state > $o) > produc1115495963_state > state). 2.83/0.84 thf(func_def_218, type, sK66: (produc1115495963_state > $o) > (state > state > $o) > state). 2.83/0.84 thf(func_def_219, type, sK67: (produc1115495963_state > $o) > (state > state > $o) > state). 2.83/0.84 thf(func_def_220, type, sK68: (produc1115495963_state > $o) > (produc1115495963_state > $o) > produc1115495963_state). 2.83/0.84 thf(func_def_221, type, sK69: (state > $o) > set_Pr795498619_state > state). 2.83/0.84 thf(func_def_222, type, sK70: (state > $o) > set_Pr795498619_state > state). 2.83/0.84 thf(func_def_223, type, sK71: set_Pr795498619_state > state > $o). 2.83/0.84 thf(func_def_224, type, sK72: set_Pr795498619_state > state). 2.83/0.84 thf(func_def_225, type, sK73: state > set_Pr795498619_state > state). 2.83/0.84 thf(func_def_226, type, sK74: (product_prod_nat_nat > $o) > nat). 2.83/0.84 thf(func_def_227, type, sK75: (product_prod_nat_nat > $o) > nat). 2.83/0.84 thf(func_def_228, type, sK76: (product_prod_nat_nat > $o) > nat). 2.83/0.84 thf(func_def_229, type, sK77: (product_prod_nat_nat > $o) > nat). 2.83/0.84 thf(func_def_230, type, sK78: product_prod_nat_nat > nat). 2.83/0.84 thf(func_def_231, type, sK79: product_prod_nat_nat > nat). 2.83/0.84 thf(func_def_232, type, sK80: product_prod_nat_nat > nat). 2.83/0.84 thf(func_def_233, type, sK81: product_prod_nat_nat > nat). 2.83/0.84 thf(func_def_234, type, sK82: set_Pr1986765409at_nat > product_prod_nat_nat). 2.83/0.84 thf(f1910,plain,( 2.83/0.84 $false), 2.83/0.84 inference(avatar_sat_refutation,[],[f1402,f1407,f1412,f1431,f1633,f1652,f1661,f1670,f1671,f1750,f1751,f1853,f1886,f1891,f1904,f1909])). 2.83/0.84 thf(f1909,plain,( 2.83/0.84 spl83_41 | spl83_6 | spl83_9 | ~spl83_21), 2.83/0.84 inference(avatar_split_clause,[],[f1908,f1668,f1457,f1428,f1889])). 2.83/0.84 thf(f1889,plain,( 2.83/0.84 spl83_41 <=> ! [X2 : a] : ($true != ((pa @ X2) @ x))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_41])])). 2.83/0.84 thf(f1428,plain,( 2.83/0.84 spl83_6 <=> ($true = (sP1 @ x))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_6])])). 2.83/0.84 thf(f1457,plain,( 2.83/0.84 spl83_9 <=> ($true = ((termi @ body) @ x))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_9])])). 2.83/0.84 thf(f1668,plain,( 2.83/0.84 spl83_21 <=> ! [X2 : a] : ($true != ((pa @ X2) @ (sK11 @ x)))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_21])])). 2.83/0.84 thf(f1908,plain,( 2.83/0.84 ( ! [X0 : a] : (($true != ((pa @ X0) @ x))) ) | (spl83_6 | spl83_9 | ~spl83_21)), 2.83/0.84 inference(subsumption_resolution,[],[f1907,f1458])). 2.83/0.84 thf(f1458,plain,( 2.83/0.84 ($true != ((termi @ body) @ x)) | spl83_9), 2.83/0.84 inference(avatar_component_clause,[],[f1457])). 2.83/0.84 thf(f1907,plain,( 2.83/0.84 ( ! [X0 : a] : (($true != ((pa @ X0) @ x)) | ($true = ((termi @ body) @ x))) ) | (spl83_6 | ~spl83_21)), 2.83/0.84 inference(subsumption_resolution,[],[f1906,f1429])). 2.83/0.84 thf(f1429,plain,( 2.83/0.84 ($true != (sP1 @ x)) | spl83_6), 2.83/0.84 inference(avatar_component_clause,[],[f1428])). 2.83/0.84 thf(f1906,plain,( 2.83/0.84 ( ! [X0 : a] : (($true != ((pa @ X0) @ x)) | ($true = (sP1 @ x)) | ($true = ((termi @ body) @ x))) ) | ~spl83_21), 2.83/0.84 inference(trivial_inequality_removal,[],[f1905])). 2.83/0.84 thf(f1905,plain,( 2.83/0.84 ( ! [X0 : a] : (($true != $true) | ($true != ((pa @ X0) @ x)) | ($true = (sP1 @ x)) | ($true = ((termi @ body) @ x))) ) | ~spl83_21), 2.83/0.84 inference(superposition,[],[f1669,f1375])). 2.83/0.84 thf(f1375,plain,( 2.83/0.84 ( ! [X4 : a,X5 : state] : (($true = ((pa @ (sK10 @ X5)) @ (sK11 @ X5))) | ($true != ((pa @ X4) @ X5)) | ($true = (sP1 @ X5)) | ($true = ((termi @ body) @ X5))) )), 2.83/0.84 inference(equality_resolution,[],[f1215])). 2.83/0.84 thf(f1215,plain,( 2.83/0.84 ( ! [X4 : a,X0 : state,X5 : state] : (($true = ((termi @ body) @ X5)) | (X0 != X5) | ($true != ((pa @ X4) @ X5)) | ($true = (sP1 @ X0)) | ($true = ((pa @ (sK10 @ X0)) @ (sK11 @ X0)))) )), 2.83/0.84 inference(cnf_transformation,[],[f1122])). 2.83/0.84 thf(f1122,plain,( 2.83/0.84 ! [X0 : state] : (($true = ((((pHoare382919414oare_a @ ((insert2053719859tate_o @ ((produc33908149tate_o @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ ((bCOMB @ member1389040324_state) @ ((cCOMB @ produc64584659_state) @ X0))) @ r)))) @ pa)) @ ((produc1948644831tate_o @ call) @ qa))) @ bot_bo170732493tate_o)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ pa))) @ (vEQ(state) @ X0))) @ body) @ qa)) & ((! [X1 : state,X2 : state] : (! [X3 : a] : (($true = ((qa @ X3) @ X2)) | (X0 != X1) | ($true != ((pa @ X3) @ X1))) | ($true != (((exec @ X1) @ body) @ X2))) & ! [X4 : a,X5 : state] : (($true = ((termi @ body) @ X5)) | (X0 != X5) | ($true != ((pa @ X4) @ X5)))) | ($true = (sP1 @ X0)) | (($true != ((termi @ body) @ (sK11 @ X0))) & ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ X0)) @ X0)) @ r)) & ($true = ((pa @ (sK10 @ X0)) @ (sK11 @ X0))))))), 2.83/0.84 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f1120,f1121])). 2.83/0.84 thf(f1121,plain,( 2.83/0.84 ! [X0 : state] : (? [X6 : a,X7 : state] : (($true != ((termi @ body) @ X7)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X7) @ X0)) @ r)) & ($true = ((pa @ X6) @ X7))) => (($true != ((termi @ body) @ (sK11 @ X0))) & ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ X0)) @ X0)) @ r)) & ($true = ((pa @ (sK10 @ X0)) @ (sK11 @ X0)))))), 2.83/0.84 introduced(choice_axiom,[])). 2.83/0.84 thf(f1120,plain,( 2.83/0.84 ! [X0 : state] : (($true = ((((pHoare382919414oare_a @ ((insert2053719859tate_o @ ((produc33908149tate_o @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ ((bCOMB @ member1389040324_state) @ ((cCOMB @ produc64584659_state) @ X0))) @ r)))) @ pa)) @ ((produc1948644831tate_o @ call) @ qa))) @ bot_bo170732493tate_o)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ pa))) @ (vEQ(state) @ X0))) @ body) @ qa)) & ((! [X1 : state,X2 : state] : (! [X3 : a] : (($true = ((qa @ X3) @ X2)) | (X0 != X1) | ($true != ((pa @ X3) @ X1))) | ($true != (((exec @ X1) @ body) @ X2))) & ! [X4 : a,X5 : state] : (($true = ((termi @ body) @ X5)) | (X0 != X5) | ($true != ((pa @ X4) @ X5)))) | ($true = (sP1 @ X0)) | ? [X6 : a,X7 : state] : (($true != ((termi @ body) @ X7)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X7) @ X0)) @ r)) & ($true = ((pa @ X6) @ X7)))))), 2.83/0.84 inference(rectify,[],[f1108])). 2.83/0.84 thf(f1108,plain,( 2.83/0.84 ! [X0 : state] : (($true = ((((pHoare382919414oare_a @ ((insert2053719859tate_o @ ((produc33908149tate_o @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ ((bCOMB @ member1389040324_state) @ ((cCOMB @ produc64584659_state) @ X0))) @ r)))) @ pa)) @ ((produc1948644831tate_o @ call) @ qa))) @ bot_bo170732493tate_o)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ pa))) @ (vEQ(state) @ X0))) @ body) @ qa)) & ((! [X6 : state,X7 : state] : (! [X8 : a] : (($true = ((qa @ X8) @ X7)) | (X0 != X6) | ($true != ((pa @ X8) @ X6))) | ($true != (((exec @ X6) @ body) @ X7))) & ! [X9 : a,X10 : state] : (($true = ((termi @ body) @ X10)) | (X0 != X10) | ($true != ((pa @ X9) @ X10)))) | ($true = (sP1 @ X0)) | ? [X4 : a,X5 : state] : (($true != ((termi @ body) @ X5)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X5) @ X0)) @ r)) & ($true = ((pa @ X4) @ X5)))))), 2.83/0.84 inference(definition_folding,[],[f1025,f1107])). 2.83/0.84 thf(f1107,plain,( 2.83/0.84 ! [X0 : state] : (? [X1 : state,X2 : state] : (? [X3 : a] : (($true != ((qa @ X3) @ X2)) & ($true = ((pa @ X3) @ X1)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X1) @ X0)) @ r))) & ($true = (((exec @ X1) @ body) @ X2))) | ~($true = (sP1 @ X0)))), 2.83/0.84 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 2.83/0.84 thf(f1025,plain,( 2.83/0.84 ! [X0 : state] : (($true = ((((pHoare382919414oare_a @ ((insert2053719859tate_o @ ((produc33908149tate_o @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ ((bCOMB @ member1389040324_state) @ ((cCOMB @ produc64584659_state) @ X0))) @ r)))) @ pa)) @ ((produc1948644831tate_o @ call) @ qa))) @ bot_bo170732493tate_o)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ pa))) @ (vEQ(state) @ X0))) @ body) @ qa)) & ((! [X6 : state,X7 : state] : (! [X8 : a] : (($true = ((qa @ X8) @ X7)) | (X0 != X6) | ($true != ((pa @ X8) @ X6))) | ($true != (((exec @ X6) @ body) @ X7))) & ! [X9 : a,X10 : state] : (($true = ((termi @ body) @ X10)) | (X0 != X10) | ($true != ((pa @ X9) @ X10)))) | ? [X1 : state,X2 : state] : (? [X3 : a] : (($true != ((qa @ X3) @ X2)) & ($true = ((pa @ X3) @ X1)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X1) @ X0)) @ r))) & ($true = (((exec @ X1) @ body) @ X2))) | ? [X4 : a,X5 : state] : (($true != ((termi @ body) @ X5)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X5) @ X0)) @ r)) & ($true = ((pa @ X4) @ X5)))))), 2.83/0.84 inference(flattening,[],[f1024])). 2.83/0.84 thf(f1024,plain,( 2.83/0.84 ! [X0 : state] : (($true = ((((pHoare382919414oare_a @ ((insert2053719859tate_o @ ((produc33908149tate_o @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ ((bCOMB @ member1389040324_state) @ ((cCOMB @ produc64584659_state) @ X0))) @ r)))) @ pa)) @ ((produc1948644831tate_o @ call) @ qa))) @ bot_bo170732493tate_o)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ pa))) @ (vEQ(state) @ X0))) @ body) @ qa)) & ((! [X6 : state,X7 : state] : (! [X8 : a] : (($true = ((qa @ X8) @ X7)) | ((X0 != X6) | ($true != ((pa @ X8) @ X6)))) | ($true != (((exec @ X6) @ body) @ X7))) & ! [X9 : a,X10 : state] : (($true = ((termi @ body) @ X10)) | ((X0 != X10) | ($true != ((pa @ X9) @ X10))))) | (? [X1 : state,X2 : state] : (? [X3 : a] : (($true != ((qa @ X3) @ X2)) & (($true = ((pa @ X3) @ X1)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X1) @ X0)) @ r)))) & ($true = (((exec @ X1) @ body) @ X2))) | ? [X4 : a,X5 : state] : (($true != ((termi @ body) @ X5)) & (($true = ((member1389040324_state @ ((produc64584659_state @ X5) @ X0)) @ r)) & ($true = ((pa @ X4) @ X5)))))))), 2.83/0.84 inference(ennf_transformation,[],[f973])). 2.83/0.84 thf(f973,plain,( 2.83/0.84 ! [X0 : state] : (($true = ((((pHoare382919414oare_a @ ((insert2053719859tate_o @ ((produc33908149tate_o @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ ((bCOMB @ member1389040324_state) @ ((cCOMB @ produc64584659_state) @ X0))) @ r)))) @ pa)) @ ((produc1948644831tate_o @ call) @ qa))) @ bot_bo170732493tate_o)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ pa))) @ (vEQ(state) @ X0))) @ body) @ qa)) & ((! [X1 : state,X2 : state] : (($true = (((exec @ X1) @ body) @ X2)) => ! [X3 : a] : ((($true = ((pa @ X3) @ X1)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X1) @ X0)) @ r))) => ($true = ((qa @ X3) @ X2)))) & ! [X4 : a,X5 : state] : ((($true = ((member1389040324_state @ ((produc64584659_state @ X5) @ X0)) @ r)) & ($true = ((pa @ X4) @ X5))) => ($true = ((termi @ body) @ X5)))) => (! [X6 : state,X7 : state] : (($true = (((exec @ X6) @ body) @ X7)) => ! [X8 : a] : (((X0 = X6) & ($true = ((pa @ X8) @ X6))) => ($true = ((qa @ X8) @ X7)))) & ! [X9 : a,X10 : state] : (((X0 = X10) & ($true = ((pa @ X9) @ X10))) => ($true = ((termi @ body) @ X10))))))), 2.83/0.84 inference(rectify,[],[f363])). 2.83/0.84 thf(f363,plain,( 2.83/0.84 ! [X0 : state] : (($true = ((((pHoare382919414oare_a @ ((insert2053719859tate_o @ ((produc33908149tate_o @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ ((bCOMB @ member1389040324_state) @ ((cCOMB @ produc64584659_state) @ X0))) @ r)))) @ pa)) @ ((produc1948644831tate_o @ call) @ qa))) @ bot_bo170732493tate_o)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ pa))) @ (vEQ(state) @ X0))) @ body) @ qa)) & ((! [X5 : state,X6 : state] : (($true = (((exec @ X5) @ body) @ X6)) => ! [X7 : a] : ((($true = ((pa @ X7) @ X5)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X5) @ X0)) @ r))) => ($true = ((qa @ X7) @ X6)))) & ! [X8 : a,X9 : state] : ((($true = ((member1389040324_state @ ((produc64584659_state @ X9) @ X0)) @ r)) & ($true = ((pa @ X8) @ X9))) => ($true = ((termi @ body) @ X9)))) => (! [X10 : state,X11 : state] : (($true = (((exec @ X10) @ body) @ X11)) => ! [X12 : a] : (((X0 = X10) & ($true = ((pa @ X12) @ X10))) => ($true = ((qa @ X12) @ X11)))) & ! [X13 : a,X14 : state] : (((X0 = X14) & ($true = ((pa @ X13) @ X14))) => ($true = ((termi @ body) @ X14))))))), 2.83/0.84 inference(fool_elimination,[],[f362])). 2.83/0.84 thf(f362,plain,( 2.83/0.84 ! [X0 : state] : (((((pHoare382919414oare_a @ ((insert2053719859tate_o @ ((produc33908149tate_o @ (^[X1 : a, X2 : state] : (((pa @ X1) @ X2) & ((member1389040324_state @ ((produc64584659_state @ X2) @ X0)) @ r)))) @ ((produc1948644831tate_o @ call) @ qa))) @ bot_bo170732493tate_o)) @ (^[X3 : a, X4 : state] : ((X0 = X4) & ((pa @ X3) @ X4)))) @ body) @ qa) & ((! [X5 : state,X6 : state] : ((((exec @ X5) @ body) @ X6) => ! [X7 : a] : ((((pa @ X7) @ X5) & ((member1389040324_state @ ((produc64584659_state @ X5) @ X0)) @ r)) => ((qa @ X7) @ X6))) & ! [X8 : a,X9 : state] : ((((member1389040324_state @ ((produc64584659_state @ X9) @ X0)) @ r) & ((pa @ X8) @ X9)) => ((termi @ body) @ X9))) => (! [X10 : state,X11 : state] : ((((exec @ X10) @ body) @ X11) => ! [X12 : a] : (((X0 = X10) & ((pa @ X12) @ X10)) => ((qa @ X12) @ X11))) & ! [X13 : a,X14 : state] : (((X0 = X14) & ((pa @ X13) @ X14)) => ((termi @ body) @ X14)))))), 2.83/0.84 inference(rectify,[],[f179])). 2.83/0.84 thf(f179,axiom,( 2.83/0.84 ! [X83 : state] : (((((pHoare382919414oare_a @ ((insert2053719859tate_o @ ((produc33908149tate_o @ (^[X80 : a, X48 : state] : (((pa @ X80) @ X48) & ((member1389040324_state @ ((produc64584659_state @ X48) @ X83)) @ r)))) @ ((produc1948644831tate_o @ call) @ qa))) @ bot_bo170732493tate_o)) @ (^[X80 : a, X48 : state] : ((X48 = X83) & ((pa @ X80) @ X48)))) @ body) @ qa) & ((! [X56 : state,X81 : state] : ((((exec @ X56) @ body) @ X81) => ! [X22 : a] : ((((pa @ X22) @ X56) & ((member1389040324_state @ ((produc64584659_state @ X56) @ X83)) @ r)) => ((qa @ X22) @ X81))) & ! [X22 : a,X56 : state] : ((((member1389040324_state @ ((produc64584659_state @ X56) @ X83)) @ r) & ((pa @ X22) @ X56)) => ((termi @ body) @ X56))) => (! [X85 : state,X86 : state] : ((((exec @ X85) @ body) @ X86) => ! [X84 : a] : (((X83 = X85) & ((pa @ X84) @ X85)) => ((qa @ X84) @ X86))) & ! [X84 : a,X85 : state] : (((X83 = X85) & ((pa @ X84) @ X85)) => ((termi @ body) @ X85)))))), 2.83/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 2.83/0.84 thf(f1669,plain,( 2.83/0.84 ( ! [X2 : a] : (($true != ((pa @ X2) @ (sK11 @ x)))) ) | ~spl83_21), 2.83/0.84 inference(avatar_component_clause,[],[f1668])). 2.83/0.84 thf(f1904,plain,( 2.83/0.84 ~spl83_2 | ~spl83_4 | ~spl83_41), 2.83/0.84 inference(avatar_contradiction_clause,[],[f1903])). 2.83/0.84 thf(f1903,plain,( 2.83/0.84 $false | (~spl83_2 | ~spl83_4 | ~spl83_41)), 2.83/0.84 inference(trivial_inequality_removal,[],[f1902])). 2.83/0.84 thf(f1902,plain,( 2.83/0.84 ($true != $true) | (~spl83_2 | ~spl83_4 | ~spl83_41)), 2.83/0.84 inference(superposition,[],[f1890,f1414])). 2.83/0.84 thf(f1414,plain,( 2.83/0.84 ($true = ((pa @ sK5) @ x)) | (~spl83_2 | ~spl83_4)), 2.83/0.84 inference(backward_demodulation,[],[f1411,f1401])). 2.83/0.84 thf(f1401,plain,( 2.83/0.84 (x = sK6) | ~spl83_2), 2.83/0.84 inference(avatar_component_clause,[],[f1399])). 2.83/0.84 thf(f1399,plain,( 2.83/0.84 spl83_2 <=> (x = sK6)), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_2])])). 2.83/0.84 thf(f1411,plain,( 2.83/0.84 ($true = ((pa @ sK5) @ sK6)) | ~spl83_4), 2.83/0.84 inference(avatar_component_clause,[],[f1409])). 2.83/0.84 thf(f1409,plain,( 2.83/0.84 spl83_4 <=> ($true = ((pa @ sK5) @ sK6))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_4])])). 2.83/0.84 thf(f1890,plain,( 2.83/0.84 ( ! [X2 : a] : (($true != ((pa @ X2) @ x))) ) | ~spl83_41), 2.83/0.84 inference(avatar_component_clause,[],[f1889])). 2.83/0.84 thf(f1891,plain,( 2.83/0.84 spl83_9 | spl83_41 | spl83_6 | ~spl83_18), 2.83/0.84 inference(avatar_split_clause,[],[f1887,f1589,f1428,f1889,f1457])). 2.83/0.84 thf(f1589,plain,( 2.83/0.84 spl83_18 <=> ($true = ((termi @ body) @ (sK11 @ x)))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_18])])). 2.83/0.84 thf(f1887,plain,( 2.83/0.84 ( ! [X2 : a] : (($true != ((pa @ X2) @ x)) | ($true = ((termi @ body) @ x))) ) | (spl83_6 | ~spl83_18)), 2.83/0.84 inference(subsumption_resolution,[],[f1680,f1429])). 2.83/0.84 thf(f1680,plain,( 2.83/0.84 ( ! [X2 : a] : (($true != ((pa @ X2) @ x)) | ($true = (sP1 @ x)) | ($true = ((termi @ body) @ x))) ) | ~spl83_18), 2.83/0.84 inference(trivial_inequality_removal,[],[f1673])). 2.83/0.84 thf(f1673,plain,( 2.83/0.84 ( ! [X2 : a] : (($true != $true) | ($true != ((pa @ X2) @ x)) | ($true = (sP1 @ x)) | ($true = ((termi @ body) @ x))) ) | ~spl83_18), 2.83/0.84 inference(superposition,[],[f1373,f1591])). 2.83/0.84 thf(f1591,plain,( 2.83/0.84 ($true = ((termi @ body) @ (sK11 @ x))) | ~spl83_18), 2.83/0.84 inference(avatar_component_clause,[],[f1589])). 2.83/0.84 thf(f1373,plain,( 2.83/0.84 ( ! [X4 : a,X5 : state] : (($true != ((termi @ body) @ (sK11 @ X5))) | ($true != ((pa @ X4) @ X5)) | ($true = (sP1 @ X5)) | ($true = ((termi @ body) @ X5))) )), 2.83/0.84 inference(equality_resolution,[],[f1217])). 2.83/0.84 thf(f1217,plain,( 2.83/0.84 ( ! [X4 : a,X0 : state,X5 : state] : (($true = ((termi @ body) @ X5)) | (X0 != X5) | ($true != ((pa @ X4) @ X5)) | ($true = (sP1 @ X0)) | ($true != ((termi @ body) @ (sK11 @ X0)))) )), 2.83/0.84 inference(cnf_transformation,[],[f1122])). 2.83/0.84 thf(f1886,plain,( 2.83/0.84 ~spl83_9 | ~spl83_2 | spl83_3), 2.83/0.84 inference(avatar_split_clause,[],[f1413,f1404,f1399,f1457])). 2.83/0.84 thf(f1404,plain,( 2.83/0.84 spl83_3 <=> ($true = ((termi @ body) @ sK6))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_3])])). 2.83/0.84 thf(f1413,plain,( 2.83/0.84 ($true != ((termi @ body) @ x)) | (~spl83_2 | spl83_3)), 2.83/0.84 inference(backward_demodulation,[],[f1406,f1401])). 2.83/0.84 thf(f1406,plain,( 2.83/0.84 ($true != ((termi @ body) @ sK6)) | spl83_3), 2.83/0.84 inference(avatar_component_clause,[],[f1404])). 2.83/0.84 thf(f1853,plain,( 2.83/0.84 ~spl83_6), 2.83/0.84 inference(avatar_contradiction_clause,[],[f1852])). 2.83/0.84 thf(f1852,plain,( 2.83/0.84 $false | ~spl83_6), 2.83/0.84 inference(subsumption_resolution,[],[f1851,f1756])). 2.83/0.84 thf(f1756,plain,( 2.83/0.84 ($true != ((qa @ (sK9 @ x)) @ (sK8 @ x))) | ~spl83_6), 2.83/0.84 inference(trivial_inequality_removal,[],[f1755])). 2.83/0.84 thf(f1755,plain,( 2.83/0.84 ($true != $true) | ($true != ((qa @ (sK9 @ x)) @ (sK8 @ x))) | ~spl83_6), 2.83/0.84 inference(superposition,[],[f1214,f1430])). 2.83/0.84 thf(f1430,plain,( 2.83/0.84 ($true = (sP1 @ x)) | ~spl83_6), 2.83/0.84 inference(avatar_component_clause,[],[f1428])). 2.83/0.84 thf(f1214,plain,( 2.83/0.84 ( ! [X0 : state] : (($true != (sP1 @ X0)) | ($true != ((qa @ (sK9 @ X0)) @ (sK8 @ X0)))) )), 2.83/0.84 inference(cnf_transformation,[],[f1119])). 2.83/0.84 thf(f1119,plain,( 2.83/0.84 ! [X0 : state] : (((($true != ((qa @ (sK9 @ X0)) @ (sK8 @ X0))) & ($true = ((pa @ (sK9 @ X0)) @ (sK7 @ X0))) & ($true = ((member1389040324_state @ ((produc64584659_state @ (sK7 @ X0)) @ X0)) @ r))) & ($true = (((exec @ (sK7 @ X0)) @ body) @ (sK8 @ X0)))) | ($true != (sP1 @ X0)))), 2.83/0.84 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f1116,f1118,f1117])). 2.83/0.84 thf(f1117,plain,( 2.83/0.84 ! [X0 : state] : (? [X1 : state,X2 : state] : (? [X3 : a] : (($true != ((qa @ X3) @ X2)) & ($true = ((pa @ X3) @ X1)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X1) @ X0)) @ r))) & ($true = (((exec @ X1) @ body) @ X2))) => (? [X3 : a] : (($true != ((qa @ X3) @ (sK8 @ X0))) & ($true = ((pa @ X3) @ (sK7 @ X0))) & ($true = ((member1389040324_state @ ((produc64584659_state @ (sK7 @ X0)) @ X0)) @ r))) & ($true = (((exec @ (sK7 @ X0)) @ body) @ (sK8 @ X0)))))), 2.83/0.84 introduced(choice_axiom,[])). 2.83/0.84 thf(f1118,plain,( 2.83/0.84 ! [X0 : state] : (? [X3 : a] : (($true != ((qa @ X3) @ (sK8 @ X0))) & ($true = ((pa @ X3) @ (sK7 @ X0))) & ($true = ((member1389040324_state @ ((produc64584659_state @ (sK7 @ X0)) @ X0)) @ r))) => (($true != ((qa @ (sK9 @ X0)) @ (sK8 @ X0))) & ($true = ((pa @ (sK9 @ X0)) @ (sK7 @ X0))) & ($true = ((member1389040324_state @ ((produc64584659_state @ (sK7 @ X0)) @ X0)) @ r))))), 2.83/0.84 introduced(choice_axiom,[])). 2.83/0.84 thf(f1116,plain,( 2.83/0.84 ! [X0 : state] : (? [X1 : state,X2 : state] : (? [X3 : a] : (($true != ((qa @ X3) @ X2)) & ($true = ((pa @ X3) @ X1)) & ($true = ((member1389040324_state @ ((produc64584659_state @ X1) @ X0)) @ r))) & ($true = (((exec @ X1) @ body) @ X2))) | ($true != (sP1 @ X0)))), 2.83/0.84 inference(nnf_transformation,[],[f1107])). 2.83/0.84 thf(f1851,plain,( 2.83/0.84 ($true = ((qa @ (sK9 @ x)) @ (sK8 @ x))) | ~spl83_6), 2.83/0.84 inference(trivial_inequality_removal,[],[f1850])). 2.83/0.84 thf(f1850,plain,( 2.83/0.84 ($true != $true) | ($true = ((qa @ (sK9 @ x)) @ (sK8 @ x))) | ~spl83_6), 2.83/0.84 inference(superposition,[],[f1849,f1759])). 2.83/0.84 thf(f1759,plain,( 2.83/0.84 ($true = (((exec @ (sK7 @ x)) @ body) @ (sK8 @ x))) | ~spl83_6), 2.83/0.84 inference(trivial_inequality_removal,[],[f1752])). 2.83/0.84 thf(f1752,plain,( 2.83/0.84 ($true != $true) | ($true = (((exec @ (sK7 @ x)) @ body) @ (sK8 @ x))) | ~spl83_6), 2.83/0.84 inference(superposition,[],[f1211,f1430])). 2.83/0.84 thf(f1211,plain,( 2.83/0.84 ( ! [X0 : state] : (($true != (sP1 @ X0)) | ($true = (((exec @ (sK7 @ X0)) @ body) @ (sK8 @ X0)))) )), 2.83/0.84 inference(cnf_transformation,[],[f1119])). 2.83/0.84 thf(f1849,plain,( 2.83/0.84 ( ! [X0 : state] : (($true != (((exec @ (sK7 @ x)) @ body) @ X0)) | ($true = ((qa @ (sK9 @ x)) @ X0))) ) | ~spl83_6), 2.83/0.84 inference(trivial_inequality_removal,[],[f1848])). 2.83/0.84 thf(f1848,plain,( 2.83/0.84 ( ! [X0 : state] : (($true != $true) | ($true != (((exec @ (sK7 @ x)) @ body) @ X0)) | ($true = ((qa @ (sK9 @ x)) @ X0))) ) | ~spl83_6), 2.83/0.84 inference(superposition,[],[f1778,f1757])). 2.83/0.84 thf(f1757,plain,( 2.83/0.84 ($true = ((pa @ (sK9 @ x)) @ (sK7 @ x))) | ~spl83_6), 2.83/0.84 inference(trivial_inequality_removal,[],[f1754])). 2.83/0.84 thf(f1754,plain,( 2.83/0.84 ($true != $true) | ($true = ((pa @ (sK9 @ x)) @ (sK7 @ x))) | ~spl83_6), 2.83/0.84 inference(superposition,[],[f1213,f1430])). 2.83/0.84 thf(f1213,plain,( 2.83/0.84 ( ! [X0 : state] : (($true != (sP1 @ X0)) | ($true = ((pa @ (sK9 @ X0)) @ (sK7 @ X0)))) )), 2.83/0.84 inference(cnf_transformation,[],[f1119])). 2.83/0.84 thf(f1778,plain,( 2.83/0.84 ( ! [X0 : a,X1 : state] : (($true != ((pa @ X0) @ (sK7 @ x))) | ($true != (((exec @ (sK7 @ x)) @ body) @ X1)) | ($true = ((qa @ X0) @ X1))) ) | ~spl83_6), 2.83/0.84 inference(trivial_inequality_removal,[],[f1775])). 2.83/0.84 thf(f1775,plain,( 2.83/0.84 ( ! [X0 : a,X1 : state] : (($true != $true) | ($true != ((pa @ X0) @ (sK7 @ x))) | ($true != (((exec @ (sK7 @ x)) @ body) @ X1)) | ($true = ((qa @ X0) @ X1))) ) | ~spl83_6), 2.83/0.84 inference(superposition,[],[f1377,f1758])). 2.83/0.84 thf(f1758,plain,( 2.83/0.84 ($true = ((member1389040324_state @ ((produc64584659_state @ (sK7 @ x)) @ x)) @ r)) | ~spl83_6), 2.83/0.84 inference(trivial_inequality_removal,[],[f1753])). 2.83/0.84 thf(f1753,plain,( 2.83/0.84 ($true != $true) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK7 @ x)) @ x)) @ r)) | ~spl83_6), 2.83/0.84 inference(superposition,[],[f1212,f1430])). 2.83/0.84 thf(f1212,plain,( 2.83/0.84 ( ! [X0 : state] : (($true != (sP1 @ X0)) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK7 @ X0)) @ X0)) @ r))) )), 2.83/0.84 inference(cnf_transformation,[],[f1119])). 2.83/0.84 thf(f1377,plain,( 2.83/0.84 ( ! [X4 : state,X5 : a,X3 : state] : (($true != ((member1389040324_state @ ((produc64584659_state @ X3) @ x)) @ r)) | ($true != ((pa @ X5) @ X3)) | ($true != (((exec @ X3) @ body) @ X4)) | ($true = ((qa @ X5) @ X4))) )), 2.83/0.84 inference(equality_resolution,[],[f1222])). 2.83/0.84 thf(f1222,plain,( 2.83/0.84 ( ! [X4 : state,X0 : state,X5 : a,X3 : state] : (($true = ((qa @ X5) @ X4)) | (X0 != X3) | ($true != ((pa @ X5) @ X3)) | ($true != (((exec @ X3) @ body) @ X4)) | ($true != ((member1389040324_state @ ((produc64584659_state @ X0) @ x)) @ r))) )), 2.83/0.84 inference(cnf_transformation,[],[f1027])). 2.83/0.84 thf(f1027,plain,( 2.83/0.84 ! [X0 : state] : ((! [X1 : a,X2 : state] : (($true = ((termi @ body) @ X2)) | ($true != ((pa @ X1) @ X2)) | (X0 != X2)) & ! [X3 : state,X4 : state] : (! [X5 : a] : (($true = ((qa @ X5) @ X4)) | (X0 != X3) | ($true != ((pa @ X5) @ X3))) | ($true != (((exec @ X3) @ body) @ X4)))) | ($true != ((member1389040324_state @ ((produc64584659_state @ X0) @ x)) @ r)))), 2.83/0.84 inference(flattening,[],[f1026])). 2.83/0.84 thf(f1026,plain,( 2.83/0.84 ! [X0 : state] : ((! [X1 : a,X2 : state] : (($true = ((termi @ body) @ X2)) | (($true != ((pa @ X1) @ X2)) | (X0 != X2))) & ! [X3 : state,X4 : state] : (! [X5 : a] : (($true = ((qa @ X5) @ X4)) | ((X0 != X3) | ($true != ((pa @ X5) @ X3)))) | ($true != (((exec @ X3) @ body) @ X4)))) | ($true != ((member1389040324_state @ ((produc64584659_state @ X0) @ x)) @ r)))), 2.83/0.84 inference(ennf_transformation,[],[f365])). 2.83/0.84 thf(f365,plain,( 2.83/0.84 ! [X0 : state] : (($true = ((member1389040324_state @ ((produc64584659_state @ X0) @ x)) @ r)) => (! [X1 : a,X2 : state] : ((($true = ((pa @ X1) @ X2)) & (X0 = X2)) => ($true = ((termi @ body) @ X2))) & ! [X3 : state,X4 : state] : (($true = (((exec @ X3) @ body) @ X4)) => ! [X5 : a] : (((X0 = X3) & ($true = ((pa @ X5) @ X3))) => ($true = ((qa @ X5) @ X4))))))), 2.83/0.84 inference(fool_elimination,[],[f364])). 2.83/0.84 thf(f364,plain,( 2.83/0.84 ! [X0 : state] : (((member1389040324_state @ ((produc64584659_state @ X0) @ x)) @ r) => (! [X1 : a,X2 : state] : ((((pa @ X1) @ X2) & (X0 = X2)) => ((termi @ body) @ X2)) & ! [X3 : state,X4 : state] : ((((exec @ X3) @ body) @ X4) => ! [X5 : a] : (((X0 = X3) & ((pa @ X5) @ X3)) => ((qa @ X5) @ X4)))))), 2.83/0.84 inference(rectify,[],[f308])). 2.83/0.84 thf(f308,axiom,( 2.83/0.84 ! [X23 : state] : (((member1389040324_state @ ((produc64584659_state @ X23) @ x)) @ r) => (! [X84 : a,X85 : state] : ((((pa @ X84) @ X85) & (X23 = X85)) => ((termi @ body) @ X85)) & ! [X85 : state,X86 : state] : ((((exec @ X85) @ body) @ X86) => ! [X84 : a] : (((X23 = X85) & ((pa @ X84) @ X85)) => ((qa @ X84) @ X86)))))), 2.83/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)). 2.83/0.84 thf(f1751,plain,( 2.83/0.84 spl83_6 | spl83_19 | ~spl83_18), 2.83/0.84 inference(avatar_split_clause,[],[f1681,f1589,f1604,f1428])). 2.83/0.84 thf(f1604,plain,( 2.83/0.84 spl83_19 <=> ! [X1 : state,X0 : a] : (($true != ((pa @ X0) @ x)) | ($true = ((qa @ X0) @ X1)) | ($true != (((exec @ x) @ body) @ X1)))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_19])])). 2.83/0.84 thf(f1681,plain,( 2.83/0.84 ( ! [X0 : a,X1 : state] : (($true != ((pa @ X0) @ x)) | ($true != (((exec @ x) @ body) @ X1)) | ($true = (sP1 @ x)) | ($true = ((qa @ X0) @ X1))) ) | ~spl83_18), 2.83/0.84 inference(trivial_inequality_removal,[],[f1672])). 2.83/0.84 thf(f1672,plain,( 2.83/0.84 ( ! [X0 : a,X1 : state] : (($true != $true) | ($true != ((pa @ X0) @ x)) | ($true != (((exec @ x) @ body) @ X1)) | ($true = (sP1 @ x)) | ($true = ((qa @ X0) @ X1))) ) | ~spl83_18), 2.83/0.84 inference(superposition,[],[f1370,f1591])). 2.83/0.84 thf(f1370,plain,( 2.83/0.84 ( ! [X2 : state,X3 : a,X1 : state] : (($true != ((termi @ body) @ (sK11 @ X1))) | ($true != ((pa @ X3) @ X1)) | ($true != (((exec @ X1) @ body) @ X2)) | ($true = (sP1 @ X1)) | ($true = ((qa @ X3) @ X2))) )), 2.83/0.84 inference(equality_resolution,[],[f1220])). 2.83/0.84 thf(f1220,plain,( 2.83/0.84 ( ! [X2 : state,X0 : state,X3 : a,X1 : state] : (($true = ((qa @ X3) @ X2)) | (X0 != X1) | ($true != ((pa @ X3) @ X1)) | ($true != (((exec @ X1) @ body) @ X2)) | ($true = (sP1 @ X0)) | ($true != ((termi @ body) @ (sK11 @ X0)))) )), 2.83/0.84 inference(cnf_transformation,[],[f1122])). 2.83/0.84 thf(f1750,plain,( 2.83/0.84 ~spl83_1 | ~spl83_19), 2.83/0.84 inference(avatar_contradiction_clause,[],[f1749])). 2.83/0.84 thf(f1749,plain,( 2.83/0.84 $false | (~spl83_1 | ~spl83_19)), 2.83/0.84 inference(subsumption_resolution,[],[f1747,f1437])). 2.83/0.84 thf(f1437,plain,( 2.83/0.84 ($true != ((qa @ sK4) @ sK3)) | ~spl83_1), 2.83/0.84 inference(trivial_inequality_removal,[],[f1434])). 2.83/0.84 thf(f1434,plain,( 2.83/0.84 ($true != $true) | ($true != ((qa @ sK4) @ sK3)) | ~spl83_1), 2.83/0.84 inference(backward_demodulation,[],[f1206,f1397])). 2.83/0.84 thf(f1397,plain,( 2.83/0.84 ($true = sP0) | ~spl83_1), 2.83/0.84 inference(avatar_component_clause,[],[f1395])). 2.83/0.84 thf(f1395,plain,( 2.83/0.84 spl83_1 <=> ($true = sP0)), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_1])])). 2.83/0.84 thf(f1206,plain,( 2.83/0.84 ($true != sP0) | ($true != ((qa @ sK4) @ sK3))), 2.83/0.84 inference(cnf_transformation,[],[f1113])). 2.83/0.84 thf(f1113,plain,( 2.83/0.84 (($true = (((exec @ sK2) @ body) @ sK3)) & (($true != ((qa @ sK4) @ sK3)) & (x = sK2) & ($true = ((pa @ sK4) @ sK2)))) | ($true != sP0)), 2.83/0.84 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f1110,f1112,f1111])). 2.83/0.84 thf(f1111,plain,( 2.83/0.84 ? [X0 : state,X1 : state] : (($true = (((exec @ X0) @ body) @ X1)) & ? [X2 : a] : (($true != ((qa @ X2) @ X1)) & (x = X0) & ($true = ((pa @ X2) @ X0)))) => (($true = (((exec @ sK2) @ body) @ sK3)) & ? [X2 : a] : (($true != ((qa @ X2) @ sK3)) & (x = sK2) & ($true = ((pa @ X2) @ sK2))))), 2.83/0.84 introduced(choice_axiom,[])). 2.83/0.84 thf(f1112,plain,( 2.83/0.84 ? [X2 : a] : (($true != ((qa @ X2) @ sK3)) & (x = sK2) & ($true = ((pa @ X2) @ sK2))) => (($true != ((qa @ sK4) @ sK3)) & (x = sK2) & ($true = ((pa @ sK4) @ sK2)))), 2.83/0.84 introduced(choice_axiom,[])). 2.83/0.84 thf(f1110,plain,( 2.83/0.84 ? [X0 : state,X1 : state] : (($true = (((exec @ X0) @ body) @ X1)) & ? [X2 : a] : (($true != ((qa @ X2) @ X1)) & (x = X0) & ($true = ((pa @ X2) @ X0)))) | ($true != sP0)), 2.83/0.84 inference(rectify,[],[f1109])). 2.83/0.84 thf(f1109,plain,( 2.83/0.84 ? [X2 : state,X3 : state] : (($true = (((exec @ X2) @ body) @ X3)) & ? [X4 : a] : (($true != ((qa @ X4) @ X3)) & (x = X2) & ($true = ((pa @ X4) @ X2)))) | ($true != sP0)), 2.83/0.84 inference(nnf_transformation,[],[f1105])). 2.83/0.84 thf(f1105,plain,( 2.83/0.84 ? [X2 : state,X3 : state] : (($true = (((exec @ X2) @ body) @ X3)) & ? [X4 : a] : (($true != ((qa @ X4) @ X3)) & (x = X2) & ($true = ((pa @ X4) @ X2)))) | ~($true = sP0)), 2.83/0.84 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 2.83/0.84 thf(f1747,plain,( 2.83/0.84 ($true = ((qa @ sK4) @ sK3)) | (~spl83_1 | ~spl83_19)), 2.83/0.84 inference(trivial_inequality_removal,[],[f1746])). 2.83/0.84 thf(f1746,plain,( 2.83/0.84 ($true != $true) | ($true = ((qa @ sK4) @ sK3)) | (~spl83_1 | ~spl83_19)), 2.83/0.84 inference(superposition,[],[f1744,f1441])). 2.83/0.84 thf(f1441,plain,( 2.83/0.84 ($true = (((exec @ x) @ body) @ sK3)) | ~spl83_1), 2.83/0.84 inference(forward_demodulation,[],[f1436,f1438])). 2.83/0.84 thf(f1438,plain,( 2.83/0.84 (x = sK2) | ~spl83_1), 2.83/0.84 inference(trivial_inequality_removal,[],[f1433])). 2.83/0.84 thf(f1433,plain,( 2.83/0.84 ($true != $true) | (x = sK2) | ~spl83_1), 2.83/0.84 inference(backward_demodulation,[],[f1205,f1397])). 2.83/0.84 thf(f1205,plain,( 2.83/0.84 ($true != sP0) | (x = sK2)), 2.83/0.84 inference(cnf_transformation,[],[f1113])). 2.83/0.84 thf(f1436,plain,( 2.83/0.84 ($true = (((exec @ sK2) @ body) @ sK3)) | ~spl83_1), 2.83/0.84 inference(trivial_inequality_removal,[],[f1435])). 2.83/0.84 thf(f1435,plain,( 2.83/0.84 ($true != $true) | ($true = (((exec @ sK2) @ body) @ sK3)) | ~spl83_1), 2.83/0.84 inference(backward_demodulation,[],[f1207,f1397])). 2.83/0.84 thf(f1207,plain,( 2.83/0.84 ($true != sP0) | ($true = (((exec @ sK2) @ body) @ sK3))), 2.83/0.84 inference(cnf_transformation,[],[f1113])). 2.83/0.84 thf(f1744,plain,( 2.83/0.84 ( ! [X0 : state] : (($true != (((exec @ x) @ body) @ X0)) | ($true = ((qa @ sK4) @ X0))) ) | (~spl83_1 | ~spl83_19)), 2.83/0.84 inference(trivial_inequality_removal,[],[f1743])). 2.83/0.84 thf(f1743,plain,( 2.83/0.84 ( ! [X0 : state] : (($true != $true) | ($true = ((qa @ sK4) @ X0)) | ($true != (((exec @ x) @ body) @ X0))) ) | (~spl83_1 | ~spl83_19)), 2.83/0.84 inference(superposition,[],[f1605,f1440])). 2.83/0.84 thf(f1440,plain,( 2.83/0.84 ($true = ((pa @ sK4) @ x)) | ~spl83_1), 2.83/0.84 inference(backward_demodulation,[],[f1439,f1438])). 2.83/0.84 thf(f1439,plain,( 2.83/0.84 ($true = ((pa @ sK4) @ sK2)) | ~spl83_1), 2.83/0.84 inference(trivial_inequality_removal,[],[f1432])). 2.83/0.84 thf(f1432,plain,( 2.83/0.84 ($true != $true) | ($true = ((pa @ sK4) @ sK2)) | ~spl83_1), 2.83/0.84 inference(backward_demodulation,[],[f1204,f1397])). 2.83/0.84 thf(f1204,plain,( 2.83/0.84 ($true != sP0) | ($true = ((pa @ sK4) @ sK2))), 2.83/0.84 inference(cnf_transformation,[],[f1113])). 2.83/0.84 thf(f1605,plain,( 2.83/0.84 ( ! [X0 : a,X1 : state] : (($true != ((pa @ X0) @ x)) | ($true = ((qa @ X0) @ X1)) | ($true != (((exec @ x) @ body) @ X1))) ) | ~spl83_19), 2.83/0.84 inference(avatar_component_clause,[],[f1604])). 2.83/0.84 thf(f1671,plain,( 2.83/0.84 spl83_13 | spl83_6 | spl83_20 | ~spl83_1), 2.83/0.84 inference(avatar_split_clause,[],[f1628,f1395,f1631,f1428,f1563])). 2.83/0.84 thf(f1563,plain,( 2.83/0.84 spl83_13 <=> ($true = ((pa @ (sK10 @ x)) @ (sK11 @ x)))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_13])])). 2.83/0.84 thf(f1631,plain,( 2.83/0.84 spl83_20 <=> ! [X0 : a] : (($true != ((pa @ X0) @ x)) | ($true = ((qa @ X0) @ sK3)))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_20])])). 2.83/0.84 thf(f1628,plain,( 2.83/0.84 ( ! [X1 : a] : (($true != ((pa @ X1) @ x)) | ($true = ((qa @ X1) @ sK3)) | ($true = (sP1 @ x)) | ($true = ((pa @ (sK10 @ x)) @ (sK11 @ x)))) ) | ~spl83_1), 2.83/0.84 inference(trivial_inequality_removal,[],[f1623])). 2.83/0.84 thf(f1623,plain,( 2.83/0.84 ( ! [X1 : a] : (($true != $true) | ($true != ((pa @ X1) @ x)) | ($true = ((qa @ X1) @ sK3)) | ($true = (sP1 @ x)) | ($true = ((pa @ (sK10 @ x)) @ (sK11 @ x)))) ) | ~spl83_1), 2.83/0.84 inference(superposition,[],[f1372,f1441])). 2.83/0.84 thf(f1372,plain,( 2.83/0.84 ( ! [X2 : state,X3 : a,X1 : state] : (($true != (((exec @ X1) @ body) @ X2)) | ($true != ((pa @ X3) @ X1)) | ($true = ((qa @ X3) @ X2)) | ($true = (sP1 @ X1)) | ($true = ((pa @ (sK10 @ X1)) @ (sK11 @ X1)))) )), 2.83/0.84 inference(equality_resolution,[],[f1218])). 2.83/0.84 thf(f1218,plain,( 2.83/0.84 ( ! [X2 : state,X0 : state,X3 : a,X1 : state] : (($true = ((qa @ X3) @ X2)) | (X0 != X1) | ($true != ((pa @ X3) @ X1)) | ($true != (((exec @ X1) @ body) @ X2)) | ($true = (sP1 @ X0)) | ($true = ((pa @ (sK10 @ X0)) @ (sK11 @ X0)))) )), 2.83/0.84 inference(cnf_transformation,[],[f1122])). 2.83/0.84 thf(f1670,plain,( 2.83/0.84 spl83_18 | spl83_21 | ~spl83_5), 2.83/0.84 inference(avatar_split_clause,[],[f1655,f1424,f1668,f1589])). 2.83/0.84 thf(f1424,plain,( 2.83/0.84 spl83_5 <=> ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ x)) @ x)) @ r))), 2.83/0.84 introduced(avatar_definition,[new_symbols(naming,[spl83_5])])). 2.83/0.84 thf(f1655,plain,( 2.83/0.84 ( ! [X2 : a] : (($true != ((pa @ X2) @ (sK11 @ x))) | ($true = ((termi @ body) @ (sK11 @ x)))) ) | ~spl83_5), 2.83/0.84 inference(trivial_inequality_removal,[],[f1654])). 2.83/0.84 thf(f1654,plain,( 2.83/0.84 ( ! [X2 : a] : (($true != $true) | ($true != ((pa @ X2) @ (sK11 @ x))) | ($true = ((termi @ body) @ (sK11 @ x)))) ) | ~spl83_5), 2.83/0.84 inference(superposition,[],[f1376,f1426])). 2.83/0.84 thf(f1426,plain,( 2.83/0.84 ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ x)) @ x)) @ r)) | ~spl83_5), 2.83/0.84 inference(avatar_component_clause,[],[f1424])). 2.83/0.84 thf(f1376,plain,( 2.83/0.84 ( ! [X2 : state,X1 : a] : (($true != ((member1389040324_state @ ((produc64584659_state @ X2) @ x)) @ r)) | ($true != ((pa @ X1) @ X2)) | ($true = ((termi @ body) @ X2))) )), 2.83/0.84 inference(equality_resolution,[],[f1223])). 2.83/0.84 thf(f1223,plain,( 2.83/0.84 ( ! [X2 : state,X0 : state,X1 : a] : (($true = ((termi @ body) @ X2)) | ($true != ((pa @ X1) @ X2)) | (X0 != X2) | ($true != ((member1389040324_state @ ((produc64584659_state @ X0) @ x)) @ r))) )), 2.83/0.84 inference(cnf_transformation,[],[f1027])). 2.83/0.84 thf(f1661,plain,( 2.83/0.84 ~spl83_5 | ~spl83_13 | spl83_18), 2.83/0.84 inference(avatar_contradiction_clause,[],[f1660])). 2.83/0.84 thf(f1660,plain,( 2.83/0.84 $false | (~spl83_5 | ~spl83_13 | spl83_18)), 2.83/0.84 inference(trivial_inequality_removal,[],[f1659])). 2.83/0.84 thf(f1659,plain,( 2.83/0.84 ($true != $true) | (~spl83_5 | ~spl83_13 | spl83_18)), 2.83/0.84 inference(superposition,[],[f1657,f1565])). 2.83/0.84 thf(f1565,plain,( 2.83/0.84 ($true = ((pa @ (sK10 @ x)) @ (sK11 @ x))) | ~spl83_13), 2.83/0.84 inference(avatar_component_clause,[],[f1563])). 2.83/0.84 thf(f1657,plain,( 2.83/0.84 ( ! [X2 : a] : (($true != ((pa @ X2) @ (sK11 @ x)))) ) | (~spl83_5 | spl83_18)), 2.83/0.84 inference(subsumption_resolution,[],[f1655,f1590])). 2.83/0.84 thf(f1590,plain,( 2.83/0.84 ($true != ((termi @ body) @ (sK11 @ x))) | spl83_18), 2.83/0.84 inference(avatar_component_clause,[],[f1589])). 2.83/0.84 thf(f1652,plain,( 2.83/0.84 ~spl83_1 | ~spl83_20), 2.83/0.84 inference(avatar_contradiction_clause,[],[f1651])). 2.83/0.84 thf(f1651,plain,( 2.83/0.84 $false | (~spl83_1 | ~spl83_20)), 2.83/0.84 inference(subsumption_resolution,[],[f1650,f1437])). 2.83/0.84 thf(f1650,plain,( 2.83/0.84 ($true = ((qa @ sK4) @ sK3)) | (~spl83_1 | ~spl83_20)), 2.83/0.84 inference(trivial_inequality_removal,[],[f1649])). 2.83/0.84 thf(f1649,plain,( 2.83/0.84 ($true != $true) | ($true = ((qa @ sK4) @ sK3)) | (~spl83_1 | ~spl83_20)), 2.83/0.84 inference(superposition,[],[f1632,f1440])). 2.83/0.84 thf(f1632,plain,( 2.83/0.84 ( ! [X0 : a] : (($true != ((pa @ X0) @ x)) | ($true = ((qa @ X0) @ sK3))) ) | ~spl83_20), 2.83/0.84 inference(avatar_component_clause,[],[f1631])). 2.83/0.84 thf(f1633,plain,( 2.83/0.84 spl83_5 | spl83_6 | spl83_20 | ~spl83_1), 2.83/0.84 inference(avatar_split_clause,[],[f1629,f1395,f1631,f1428,f1424])). 2.83/0.84 thf(f1629,plain,( 2.83/0.84 ( ! [X0 : a] : (($true != ((pa @ X0) @ x)) | ($true = ((qa @ X0) @ sK3)) | ($true = (sP1 @ x)) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ x)) @ x)) @ r))) ) | ~spl83_1), 2.83/0.84 inference(trivial_inequality_removal,[],[f1622])). 2.83/0.84 thf(f1622,plain,( 2.83/0.84 ( ! [X0 : a] : (($true != $true) | ($true != ((pa @ X0) @ x)) | ($true = ((qa @ X0) @ sK3)) | ($true = (sP1 @ x)) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ x)) @ x)) @ r))) ) | ~spl83_1), 2.83/0.84 inference(superposition,[],[f1371,f1441])). 2.83/0.84 thf(f1371,plain,( 2.83/0.84 ( ! [X2 : state,X3 : a,X1 : state] : (($true != (((exec @ X1) @ body) @ X2)) | ($true != ((pa @ X3) @ X1)) | ($true = ((qa @ X3) @ X2)) | ($true = (sP1 @ X1)) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ X1)) @ X1)) @ r))) )), 2.83/0.84 inference(equality_resolution,[],[f1219])). 2.83/0.84 thf(f1219,plain,( 2.83/0.84 ( ! [X2 : state,X0 : state,X3 : a,X1 : state] : (($true = ((qa @ X3) @ X2)) | (X0 != X1) | ($true != ((pa @ X3) @ X1)) | ($true != (((exec @ X1) @ body) @ X2)) | ($true = (sP1 @ X0)) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ X0)) @ X0)) @ r))) )), 2.83/0.84 inference(cnf_transformation,[],[f1122])). 2.83/0.84 thf(f1431,plain,( 2.83/0.84 spl83_5 | spl83_6 | ~spl83_2 | spl83_3 | ~spl83_4), 2.83/0.84 inference(avatar_split_clause,[],[f1422,f1409,f1404,f1399,f1428,f1424])). 2.83/0.84 thf(f1422,plain,( 2.83/0.84 ($true = (sP1 @ x)) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ x)) @ x)) @ r)) | (~spl83_2 | spl83_3 | ~spl83_4)), 2.83/0.84 inference(subsumption_resolution,[],[f1418,f1413])). 2.83/0.84 thf(f1418,plain,( 2.83/0.84 ($true = ((termi @ body) @ x)) | ($true = (sP1 @ x)) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ x)) @ x)) @ r)) | (~spl83_2 | ~spl83_4)), 2.83/0.84 inference(trivial_inequality_removal,[],[f1417])). 2.83/0.84 thf(f1417,plain,( 2.83/0.84 ($true != $true) | ($true = ((termi @ body) @ x)) | ($true = (sP1 @ x)) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ x)) @ x)) @ r)) | (~spl83_2 | ~spl83_4)), 2.83/0.84 inference(superposition,[],[f1374,f1414])). 2.83/0.84 thf(f1374,plain,( 2.83/0.84 ( ! [X4 : a,X5 : state] : (($true != ((pa @ X4) @ X5)) | ($true = ((termi @ body) @ X5)) | ($true = (sP1 @ X5)) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ X5)) @ X5)) @ r))) )), 2.83/0.84 inference(equality_resolution,[],[f1216])). 2.83/0.84 thf(f1216,plain,( 2.83/0.84 ( ! [X4 : a,X0 : state,X5 : state] : (($true = ((termi @ body) @ X5)) | (X0 != X5) | ($true != ((pa @ X4) @ X5)) | ($true = (sP1 @ X0)) | ($true = ((member1389040324_state @ ((produc64584659_state @ (sK11 @ X0)) @ X0)) @ r))) )), 2.83/0.84 inference(cnf_transformation,[],[f1122])). 2.83/0.84 thf(f1412,plain,( 2.83/0.84 spl83_1 | spl83_4), 2.83/0.84 inference(avatar_split_clause,[],[f1208,f1409,f1395])). 2.83/0.84 thf(f1208,plain,( 2.83/0.84 ($true = ((pa @ sK5) @ sK6)) | ($true = sP0)), 2.83/0.84 inference(cnf_transformation,[],[f1115])). 2.83/0.84 thf(f1115,plain,( 2.83/0.84 ((x = sK6) & ($true != ((termi @ body) @ sK6)) & ($true = ((pa @ sK5) @ sK6))) | ($true = sP0)), 2.83/0.84 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f1106,f1114])). 2.83/0.84 thf(f1114,plain,( 2.83/0.84 ? [X0 : a,X1 : state] : ((x = X1) & ($true != ((termi @ body) @ X1)) & ($true = ((pa @ X0) @ X1))) => ((x = sK6) & ($true != ((termi @ body) @ sK6)) & ($true = ((pa @ sK5) @ sK6)))), 2.83/0.84 introduced(choice_axiom,[])). 2.83/0.84 thf(f1106,plain,( 2.83/0.84 ? [X0 : a,X1 : state] : ((x = X1) & ($true != ((termi @ body) @ X1)) & ($true = ((pa @ X0) @ X1))) | ($true = sP0)), 2.83/0.84 inference(definition_folding,[],[f1023,f1105])). 2.83/0.84 thf(f1023,plain,( 2.83/0.84 ? [X0 : a,X1 : state] : ((x = X1) & ($true != ((termi @ body) @ X1)) & ($true = ((pa @ X0) @ X1))) | ? [X2 : state,X3 : state] : (($true = (((exec @ X2) @ body) @ X3)) & ? [X4 : a] : (($true != ((qa @ X4) @ X3)) & (x = X2) & ($true = ((pa @ X4) @ X2))))), 2.83/0.84 inference(ennf_transformation,[],[f972])). 2.83/0.84 thf(f972,plain,( 2.83/0.84 ~(! [X0 : a,X1 : state] : ((x != X1) | ($true = ((termi @ body) @ X1)) | ($true != ((pa @ X0) @ X1))) & ! [X2 : state,X3 : state] : (($true != (((exec @ X2) @ body) @ X3)) | ! [X4 : a] : (($true = ((qa @ X4) @ X3)) | (x != X2) | ($true != ((pa @ X4) @ X2)))))), 2.83/0.84 inference(flattening,[],[f361])). 2.83/0.84 thf(f361,plain,( 2.83/0.84 ~(! [X0 : a,X1 : state] : ((x != X1) | ($true = ((termi @ body) @ X1)) | ~($true = ((pa @ X0) @ X1))) & ! [X2 : state,X3 : state] : (~($true = (((exec @ X2) @ body) @ X3)) | ! [X4 : a] : (($true = ((qa @ X4) @ X3)) | (x != X2) | ~($true = ((pa @ X4) @ X2)))))), 2.83/0.84 inference(fool_elimination,[],[f360])). 2.83/0.84 thf(f360,plain,( 2.83/0.84 ~(! [X0 : a,X1 : state] : ((x != X1) | ((termi @ body) @ X1) | ~((pa @ X0) @ X1)) & ! [X2 : state,X3 : state] : (~(((exec @ X2) @ body) @ X3) | ! [X4 : a] : (((qa @ X4) @ X3) | (x != X2) | ~((pa @ X4) @ X2))))), 2.83/0.84 inference(rectify,[],[f291])). 2.83/0.84 thf(f291,negated_conjecture,( 2.83/0.84 ~(! [X22 : a,X56 : state] : ((x != X56) | ((termi @ body) @ X56) | ~((pa @ X22) @ X56)) & ! [X56 : state,X81 : state] : (~(((exec @ X56) @ body) @ X81) | ! [X22 : a] : (((qa @ X22) @ X81) | (x != X56) | ~((pa @ X22) @ X56))))), 2.83/0.84 inference(negated_conjecture,[],[f290])). 2.83/0.84 thf(f290,conjecture,( 2.83/0.84 ! [X22 : a,X56 : state] : ((x != X56) | ((termi @ body) @ X56) | ~((pa @ X22) @ X56)) & ! [X56 : state,X81 : state] : (~(((exec @ X56) @ body) @ X81) | ! [X22 : a] : (((qa @ X22) @ X81) | (x != X56) | ~((pa @ X22) @ X56)))), 2.83/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)). 2.83/0.84 thf(f1407,plain,( 2.83/0.84 spl83_1 | ~spl83_3), 2.83/0.84 inference(avatar_split_clause,[],[f1209,f1404,f1395])). 2.83/0.84 thf(f1209,plain,( 2.83/0.84 ($true != ((termi @ body) @ sK6)) | ($true = sP0)), 2.83/0.84 inference(cnf_transformation,[],[f1115])). 2.83/0.84 thf(f1402,plain,( 2.83/0.84 spl83_1 | spl83_2), 2.83/0.84 inference(avatar_split_clause,[],[f1210,f1399,f1395])). 2.83/0.84 thf(f1210,plain,( 2.83/0.84 (x = sK6) | ($true = sP0)), 2.83/0.84 inference(cnf_transformation,[],[f1115])). 2.83/0.84 % SZS output end Proof for theBenchmark 2.83/0.84 % (25994)------------------------------ 2.83/0.84 % (25994)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 2.83/0.84 % (25994)Termination reason: Refutation 2.83/0.84 2.83/0.84 % (25994)Memory used [KB]: 13432 2.83/0.84 % (25994)Time elapsed: 0.393 s 2.83/0.84 % (25994)------------------------------ 2.83/0.84 % (25994)------------------------------ 2.83/0.84 % (25991)Success in time 0.464 s 2.83/0.85 EOF