0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s 0.12/0.33 Computer : n022.cluster.edu 0.12/0.33 Model : x86_64 x86_64 0.12/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 RAMPerCPU : 8042.1875MB 0.12/0.33 OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % DateTime : Mon Jul 3 04:42:44 EDT 2023 0.12/0.33 % CPUTime : 123.45/123.77 % SZS status Theorem 123.45/123.77 % Mode: mode9:USE_SINE=true:SINE_TOLERANCE=2.0:SINE_GENERALITY_THRESHOLD=16:SINE_RANK_LIMIT=1.:SINE_DEPTH=0 123.45/123.77 % Inferences: 1324 123.45/123.77 % SZS output start Proof 123.45/123.77 thf(ty_a, type, a : $tType). 123.45/123.77 thf(ty_multiset_a, type, multiset_a : $tType). 123.45/123.77 thf(ty_list_a, type, list_a : $tType). 123.45/123.77 thf(ty_qs, type, qs : list_a). 123.45/123.77 thf(ty_a3, type, a3 : a). 123.45/123.77 thf(ty_groups1792256535list_a, type, groups1792256535list_a : (list_a>a)). 123.45/123.77 thf(ty_comm_m543484931mset_a, type, comm_m543484931mset_a : (multiset_a>a)). 123.45/123.77 thf(ty_qs2, type, qs2 : list_a). 123.45/123.77 thf(ty_mset_a, type, mset_a : (list_a>multiset_a)). 123.45/123.77 thf(sP1,plain,sP1 <=> ((groups1792256535list_a @ qs2) = a3),introduced(definition,[new_symbols(definition,[sP1])])). 123.45/123.77 thf(sP2,plain,sP2 <=> ((comm_m543484931mset_a @ (mset_a @ qs2)) = (groups1792256535list_a @ qs2)),introduced(definition,[new_symbols(definition,[sP2])])). 123.45/123.77 thf(sP3,plain,sP3 <=> ((comm_m543484931mset_a @ (mset_a @ qs2)) = (comm_m543484931mset_a @ (mset_a @ qs))),introduced(definition,[new_symbols(definition,[sP3])])). 123.45/123.77 thf(sP4,plain,sP4 <=> (![X1:a]:(((groups1792256535list_a @ qs2) = X1) => (X1 = (groups1792256535list_a @ qs2)))),introduced(definition,[new_symbols(definition,[sP4])])). 123.45/123.77 thf(sP5,plain,sP5 <=> ((comm_m543484931mset_a @ (mset_a @ qs)) = (groups1792256535list_a @ qs2)),introduced(definition,[new_symbols(definition,[sP5])])). 123.45/123.77 thf(sP6,plain,sP6 <=> ((comm_m543484931mset_a @ (mset_a @ qs)) = (groups1792256535list_a @ qs)),introduced(definition,[new_symbols(definition,[sP6])])). 123.45/123.77 thf(sP7,plain,sP7 <=> ((a3 = (groups1792256535list_a @ qs)) => ((groups1792256535list_a @ qs) = a3)),introduced(definition,[new_symbols(definition,[sP7])])). 123.45/123.77 thf(sP8,plain,sP8 <=> (![X1:a]:(![X2:a]:((X1 = X2) => (X2 = X1)))),introduced(definition,[new_symbols(definition,[sP8])])). 123.45/123.77 thf(sP9,plain,sP9 <=> (![X1:a]:((a3 = X1) => (X1 = a3))),introduced(definition,[new_symbols(definition,[sP9])])). 123.45/123.77 thf(sP10,plain,sP10 <=> ((mset_a @ qs2) = (mset_a @ qs)),introduced(definition,[new_symbols(definition,[sP10])])). 123.45/123.77 thf(sP11,plain,sP11 <=> (sP1 => (a3 = (groups1792256535list_a @ qs2))),introduced(definition,[new_symbols(definition,[sP11])])). 123.45/123.77 thf(sP12,plain,sP12 <=> ((comm_m543484931mset_a @ (mset_a @ qs)) = (comm_m543484931mset_a @ (mset_a @ qs))),introduced(definition,[new_symbols(definition,[sP12])])). 123.45/123.77 thf(sP13,plain,sP13 <=> ((groups1792256535list_a @ qs) = a3),introduced(definition,[new_symbols(definition,[sP13])])). 123.45/123.77 thf(sP14,plain,sP14 <=> (a3 = (groups1792256535list_a @ qs2)),introduced(definition,[new_symbols(definition,[sP14])])). 123.45/123.77 thf(sP15,plain,sP15 <=> (a3 = (groups1792256535list_a @ qs)),introduced(definition,[new_symbols(definition,[sP15])])). 123.45/123.77 thf(sP16,plain,sP16 <=> ((comm_m543484931mset_a @ (mset_a @ qs)) = a3),introduced(definition,[new_symbols(definition,[sP16])])). 123.45/123.77 thf(sP17,plain,sP17 <=> (![X1:list_a]:((comm_m543484931mset_a @ (mset_a @ X1)) = (groups1792256535list_a @ X1))),introduced(definition,[new_symbols(definition,[sP17])])). 123.45/123.77 thf(conj_0,conjecture,sP14). 123.45/123.77 thf(h0,negated_conjecture,(~(sP14)),inference(assume_negation,[status(cth)],[conj_0])). 123.45/123.77 thf(1,plain,(((~(sP6) | sP1) | ~(sP5)) | ~(sP16)),inference(confrontation_rule,[status(thm)],[])). 123.45/123.77 thf(2,plain,(((~(sP6) | sP16) | ~(sP12)) | ~(sP13)),inference(confrontation_rule,[status(thm)],[])). 123.45/123.77 thf(3,plain,((~(sP11) | ~(sP1)) | sP14),inference(prop_rule,[status(thm)],[])). 123.45/123.77 thf(4,plain,(~(sP4) | sP11),inference(all_rule,[status(thm)],[])). 123.45/123.77 thf(5,plain,((~(sP7) | ~(sP15)) | sP13),inference(prop_rule,[status(thm)],[])). 123.45/123.77 thf(6,plain,(~(sP9) | sP7),inference(all_rule,[status(thm)],[])). 123.45/123.77 thf(7,plain,(~(sP8) | sP9),inference(all_rule,[status(thm)],[])). 123.45/123.77 thf(8,plain,(((~(sP2) | sP5) | ~(sP3)) | ~(sP2)),inference(confrontation_rule,[status(thm)],[])). 123.45/123.77 thf(9,plain,(sP3 | ~(sP10)),inference(prop_rule,[status(thm)],[])). 123.45/123.77 thf(10,plain,sP12,inference(prop_rule,[status(thm)],[])). 123.45/123.77 thf(11,plain,(~(sP8) | sP4),inference(all_rule,[status(thm)],[])). 123.45/123.77 thf(12,plain,(~(sP17) | sP2),inference(all_rule,[status(thm)],[])). 123.45/123.77 thf(13,plain,(~(sP17) | sP6),inference(all_rule,[status(thm)],[])). 123.45/123.77 thf(14,plain,sP8,inference(@eq_sym,[status(thm)],[])). 123.45/123.77 thf(fact_0__092_060open_062mset_Aqs2_A_061_Amset_Aqs_092_060close_062,axiom,sP10). 123.45/123.77 thf(fact_24_sum__mset__sum__list,axiom,sP17). 123.45/123.77 thf(fact_2_a,axiom,sP15). 123.45/123.77 thf(15,plain,$false,inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,fact_0__092_060open_062mset_Aqs2_A_061_Amset_Aqs_092_060close_062,fact_24_sum__mset__sum__list,fact_2_a,h0])). 123.45/123.77 thf(0,theorem,sP14,inference(contra,[status(thm),contra(discharge,[h0])],[15,h0])). 123.45/123.77 % SZS output end Proof 123.45/123.77 EOF