0.00/0.00 % Leo-III: Strategy 1 (for '60') 41.95/15.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 41.95/15.98 % [INFO] Parsing done (337ms). 41.95/15.98 % [INFO] Running in sequential loop mode. 41.95/15.98 % [CONFIG] Using configuration: timeout(60) with strategy 41.95/15.98 % [INFO] eprover registered as external prover. 41.95/15.98 % [INFO] cvc4 registered as external prover. 41.95/15.98 % [INFO] Parsing finished. Scanning for conjecture ... 41.95/15.98 % [INFO] Found a conjecture and 355 axioms. Running axiom selection ... 41.95/15.98 % [INFO] Axiom selection finished. Selected 336 axioms (removed 19 axioms). 41.95/15.98 % [INFO] Problem is higher-order (TPTP THF). 41.95/15.98 % [INFO] Type checking passed. Searching for refutation ... 41.95/15.98 % External prover 'cvc4' found a proof! 41.95/15.98 % [INFO] Killing All external provers ... 41.95/15.98 % Time passed: 11332ms (effective reasoning time: 10490ms) 41.95/15.98 % Solved by strategy 41.95/15.98 % Axioms used in derivation (336): fact_224_out__exprChannelSingle__Set, fact_44_insert__eq__iff, fact_4_assms_I1_J, fact_287_sup_Obounded__iff, fact_5_locStream__def, fact_313_sup_Oabsorb1, fact_39_mk__disjoint__insert, fact_70_TBtheorem4b__notPQ, fact_189_bot_Oextremum__uniqueI, fact_121_Collect__empty__eq__bot, fact_63_doubleton__eq__iff, fact_284_sup__bot_Oleft__neutral, fact_169_ord__eq__le__trans, fact_105_TBtheorem4a__notPQ, fact_276_insert__is__Un, fact_176_dual__order_Orefl, fact_26_Collect__empty__eq, fact_0_assms_I2_J, fact_228_TBtheorem5b__PQ, fact_22_empty__iff, fact_110_is__singleton__def, fact_59_singleton__inject, fact_338_inf_Obounded__iff, fact_104_TBtheorem4a__notP2, fact_135_subset__empty, fact_197_subset__insertI, fact_319_sup_Oorder__iff, fact_146_order__subst2, fact_350_Int__insert__right__if0, fact_289_sup__bot__left, fact_192_bot_Oextremum__unique, fact_7_correctCompositionIn__L2, fact_160_eq__refl, fact_6_correctCompositionIn__L1, fact_344_Int__insert__left__if0, fact_127_order__refl, fact_95_ineM__ine, fact_322_sup_Oabsorb__iff1, fact_205_pairwise__insert, fact_315_sup__absorb1, fact_137_insert__subset, fact_235_UnCI, fact_296_sup__bot_Oeq__neutr__iff, fact_133_empty__subsetI, fact_269_Un__commute, fact_19_insert__absorb2, fact_231_outStream__def, fact_69_TBtheorem4b__notP1, fact_34_equals0I, fact_112_TBtheorem1a, fact_223_out__exprChannelSet__Single, fact_30_ineM__L1, fact_122_pairwise__singleton, fact_308_sup__least, fact_158_antisym, fact_172_order__class_Oorder_Oantisym, fact_16_insertCI, fact_267_Un__assoc, fact_37_emptyE, fact_31_ex__in__conv, fact_261_UnI1, fact_277_insert__is__Un, fact_38_emptyE, fact_58_TBtheorem1b, fact_186_subset__eq, fact_55_insertE, fact_325_sup_OcoboundedI2, fact_255_Un__upper1, fact_306_sup_Omono, fact_265_bex__Un, fact_73_Collect__mem__eq, fact_183_pairwiseI, fact_353_Int__subset__iff, fact_150_ord__eq__le__subst, fact_238_Un__iff, fact_51_insertI2, fact_148_ord__eq__le__subst, fact_149_ord__eq__le__subst, fact_259_UnE, fact_317_sup_OboundedE, fact_202_insert__mono, fact_157_eq__iff, fact_236_UnCI, fact_214_TBtheorem5a__notP2, fact_268_Un__absorb, fact_249_Un__empty__right, fact_20_insert__absorb2, fact_132_empty__subsetI, fact_200_subset__insert, fact_220_out__exprChannelSingle__def, fact_61_insert__not__empty, fact_56_insertE, fact_208_subset__singleton__iff, fact_86_TBtheorem4a__empty, fact_334_ComplI, fact_227_TBtheore54b__P, fact_83_TBtheorem4a__P, fact_96_is__singleton__the__elem, fact_98_ine__def, fact_163_order_Otrans, fact_280_sup__bot_Oright__neutral, fact_28_empty__Collect__eq, fact_328_subset__Compl__singleton, fact_318_sup_OboundedI, fact_12_TBtheorem4b__PQ, fact_161_eq__refl, fact_50_Set_Oset__insert, fact_1_assms_I4_J, fact_23_all__not__in__conv, fact_36_equals0D, fact_254_Un__upper2, fact_190_bot_Oextremum__uniqueI, fact_199_subset__insert, fact_2_assms_I3_J, fact_141_order__subst1, fact_114_subcomponents__loc, fact_204_pairwise__empty, fact_115_Set_Ois__empty__def, fact_166_order__class_Oorder_Oeq__iff, fact_64_doubleton__eq__iff, fact_49_Set_Oset__insert, fact_78_the__elem__eq, fact_124_singleton__insert__inj__eq, fact_198_subset__insertI, fact_67_singletonD, fact_170_ord__le__eq__trans, fact_251_subset__UnE, fact_346_Int__insert__left__if1, fact_310_sup_OorderE, fact_42_insert__commute, fact_165_antisym__conv, fact_243_Un__insert__right, fact_216_TBtheorem45a__P, fact_87_ine__exprChannelSingle__def, fact_91_ine__nonempty__exprChannelSet, fact_273_singleton__Un__iff, fact_279_subset__emptyI, fact_113_TBtheorem3a, fact_352_Int__insert__right__if1, fact_285_sup__bot_Oleft__neutral, fact_9_singletonI, fact_106_TBtheorem4a__notP1, fact_295_sup__eq__bot__iff, fact_107_ine__exprChannelSet__def, fact_242_Un__insert__left, fact_167_order__class_Oorder_Oeq__iff, fact_8_correctCompositionIn__prop1, fact_330_IntI, fact_266_ball__Un, fact_217_TBtheorem2b, fact_210_subset__singletonD, fact_11_TBtheorem4b__P, fact_337_le__inf__iff, fact_136_insert__subset, fact_140_order__subst1, fact_175_order__trans, fact_101_is__singletonI_H, fact_131_subset__antisym, fact_71_mem__Collect__eq, fact_240_Un__empty, fact_40_mk__disjoint__insert, fact_196_subset__insertI2, fact_85_is__singletonI, fact_234_insert__subsetI, fact_109_is__singletonE, fact_46_insert__absorb, fact_316_sup__absorb2, fact_213_TBtheorem5a__notPQ, fact_275_Un__singleton__iff, fact_80_bot__apply, fact_53_insertI1, fact_33_equals0I, fact_324_sup_OcoboundedI1, fact_162_order_Otrans, fact_52_insertI2, fact_212_TBtheorem5a__notP1, fact_90_ine__exprChannelSingle__Set, fact_248_Un__empty__right, fact_123_pairwise__singleton, fact_257_Un__mono, fact_155_ord__le__eq__subst, fact_102_bot__fun__def, fact_229_TBtheorem5b__notP1, fact_35_equals0D, fact_3_assms_I5_J, fact_226_TBtheorem5b__notP2, fact_290_sup__bot__right, fact_180_subsetD, fact_333_ComplI, fact_84_is__singletonI, fact_125_singleton__insert__inj__eq, fact_270_Un__left__absorb, fact_194_bot_Oextremum, fact_239_Un__empty, fact_145_order__subst2, fact_17_insert__iff, fact_182_pairwiseD, fact_307_sup__mono, fact_348_insert__inter__insert, fact_29_ineM__def, fact_188_subset__iff, fact_311_sup_OorderI, fact_117_TBtheorem5a__empty, fact_283_sup__bot_Oneutr__eq__iff, fact_10_singletonI, fact_245_Un__subset__iff, fact_286_le__sup__iff, fact_336_Compl__iff, fact_54_insertI1, fact_88_ine__empty__exprChannelSet, fact_340_inf__bot__left, fact_43_insert__eq__iff, fact_256_Un__least, fact_274_Un__singleton__iff, fact_119_bot__empty__eq, fact_60_singleton__inject, fact_247_Un__empty__left, fact_154_ord__le__eq__subst, fact_278_subset__emptyI, fact_138_singleton__insert__inj__eq_H, fact_258_ineM__Un1, fact_65_singleton__iff, fact_321_sup_Ocobounded2, fact_232_TBtheorem5b__notPQ, fact_207_subset__singleton__iff, fact_174_order__trans, fact_299_inf__sup__ord_I3_J, fact_264_UnI2, fact_100_is__singletonI_H, fact_45_insert__absorb, fact_116_Set_Ois__empty__def, fact_271_Un__left__commute, fact_335_Compl__iff, fact_93_bot__set__def, fact_130_subset__antisym, fact_173_order__class_Oorder_Oantisym, fact_260_UnE, fact_314_sup_Oabsorb2, fact_168_ord__eq__le__trans, fact_305_le__supI2, fact_209_subset__singletonD, fact_13_TBlemma3b, fact_225_eout__def, fact_241_Un__insert__left, fact_97_is__singleton__the__elem, fact_89_ine__exprChannelSet__Single, fact_203_pairwise__empty, fact_195_subset__insertI2, fact_178_in__mono, fact_126_order__refl, fact_342_inf__bot__right, fact_134_subset__empty, fact_32_ex__in__conv, fact_151_ord__eq__le__subst, fact_191_bot_Oextremum__unique, fact_57_TBtheorem3b, fact_179_subsetD, fact_298_inf__sup__ord_I4_J, fact_291_sup__bot__right, fact_142_order__subst1, fact_82_TBtheorem4a__PQ, fact_47_insert__ident, fact_300_le__supE, fact_263_UnI2, fact_159_antisym, fact_252_Un__absorb2, fact_206_pairwise__insert, fact_75_Collect__cong, fact_14_inStream__def, fact_184_pairwiseI, fact_68_singletonD, fact_18_insert__iff, fact_332_Int__iff, fact_233_insert__subsetI, fact_304_le__supI1, fact_48_insert__ident, fact_281_sup__bot_Oright__neutral, fact_152_ord__le__eq__subst, fact_99_ine__ins__neg1, fact_221_not__eout__eoutM, fact_181_pairwiseD, fact_193_bot_Oextremum, fact_144_order__subst2, fact_297_sup__bot_Oeq__neutr__iff, fact_250_subset__Un__eq, fact_21_empty__iff, fact_24_all__not__in__conv, fact_237_Un__iff, fact_262_UnI1, fact_292_bot__eq__sup__iff, fact_211_TBtheorem2a, fact_312_sup__unique, fact_326_correctInOutLoc__def, fact_94_not__ine__ineM, fact_354_Int__Un__eq_I4_J, fact_129_subsetI, fact_288_sup__bot__left, fact_303_sup__ge2, fact_301_le__supI, fact_253_Un__absorb1, fact_187_subset__iff, fact_302_sup__ge1, fact_230_correctCompositionOut__prop1, fact_185_subset__eq, fact_79_the__elem__eq, fact_219_out__exprChannelSet__def, fact_128_subsetI, fact_77_TBtheorem4b__notP2, fact_153_ord__le__eq__subst, fact_62_insert__not__empty, fact_222_eoutM__eout, fact_111_is__singleton__def, fact_147_order__subst2, fact_244_Un__insert__right, fact_272_singleton__Un__iff, fact_143_order__subst1, fact_215_TBtheorem5a__PQ, fact_294_sup__eq__bot__iff, fact_293_bot__eq__sup__iff, fact_323_sup_Oabsorb__iff2, fact_41_insert__commute, fact_282_sup__bot_Oneutr__eq__iff, fact_108_is__singletonE, fact_164_antisym__conv, fact_66_singleton__iff, fact_171_ord__le__eq__trans, fact_327_subset__Compl__singleton, fact_218_eoutM__def, fact_139_singleton__insert__inj__eq_H, fact_15_insertCI, fact_177_in__mono, fact_201_insert__mono, fact_309_le__iff__sup, fact_156_eq__iff, fact_320_sup_Ocobounded1, fact_246_Un__empty__left 41.95/15.98 % No. of inferences in proof: 676 41.95/15.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 11332 ms resp. 10490 ms w/o parsing 41.95/15.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 41.95/15.98 thf(set_Secrecy_specID_type, type, set_Secrecy_specID: $tType). 41.95/15.98 thf(set_Secrecy_chanID_type, type, set_Secrecy_chanID: $tType). 41.95/15.98 thf(secrecy_Expression_type, type, secrecy_Expression: $tType). 41.95/15.98 thf(secrecy_specID_type, type, secrecy_specID: $tType). 41.95/15.98 thf(secrecy_chanID_type, type, secrecy_chanID: $tType). 41.95/15.98 thf(nat_type, type, nat: $tType). 41.95/15.98 thf(uminus1044094777chanID_type, type, uminus1044094777chanID: (set_Secrecy_chanID > set_Secrecy_chanID)). 41.95/15.98 thf(uminus238526242specID_type, type, uminus238526242specID: (set_Secrecy_specID > set_Secrecy_specID)). 41.95/15.98 thf(inf_in1474033538chanID_type, type, inf_in1474033538chanID: (set_Secrecy_chanID > (set_Secrecy_chanID > set_Secrecy_chanID))). 41.95/15.98 thf(sup_su370684444chanID_type, type, sup_su370684444chanID: (set_Secrecy_chanID > (set_Secrecy_chanID > set_Secrecy_chanID))). 41.95/15.98 thf(sup_su1712599557specID_type, type, sup_su1712599557specID: (set_Secrecy_specID > (set_Secrecy_specID > set_Secrecy_specID))). 41.95/15.98 thf(bot_bo1012329985anID_o_type, type, bot_bo1012329985anID_o: (secrecy_chanID > $o)). 41.95/15.98 thf(bot_bot_o_type, type, bot_bot_o: $o). 41.95/15.98 thf(bot_bo443197316chanID_type, type, bot_bo443197316chanID: set_Secrecy_chanID). 41.95/15.98 thf(bot_bo1785112429specID_type, type, bot_bo1785112429specID: set_Secrecy_specID). 41.95/15.98 thf(ord_le1802272080chanID_type, type, ord_le1802272080chanID: (set_Secrecy_chanID > (set_Secrecy_chanID > $o))). 41.95/15.98 thf(ord_le996703545specID_type, type, ord_le996703545specID: (set_Secrecy_specID > (set_Secrecy_specID > $o))). 41.95/15.98 thf(eout_type, type, eout: (secrecy_specID > (secrecy_Expression > $o))). 41.95/15.98 thf(eoutM_type, type, eoutM: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 41.95/15.98 thf(exprChannel_type, type, exprChannel: (secrecy_chanID > (secrecy_Expression > $o))). 41.95/15.98 thf(ine_type, type, ine: (secrecy_specID > (secrecy_Expression > $o))). 41.95/15.98 thf(ineM_type, type, ineM: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 41.95/15.98 thf(ine_exprChannelSet_type, type, ine_exprChannelSet: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 41.95/15.98 thf(ine_ex1303305700Single_type, type, ine_ex1303305700Single: (secrecy_specID > (secrecy_chanID > (secrecy_Expression > $o)))). 41.95/15.98 thf(out_exprChannelSet_type, type, out_exprChannelSet: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 41.95/15.98 thf(out_ex985543062Single_type, type, out_ex985543062Single: (secrecy_specID > (secrecy_chanID > (secrecy_Expression > $o)))). 41.95/15.98 thf(collec625564175chanID_type, type, collec625564175chanID: ((secrecy_chanID > $o) > set_Secrecy_chanID)). 41.95/15.98 thf(insert751661162chanID_type, type, insert751661162chanID: (secrecy_chanID > (set_Secrecy_chanID > set_Secrecy_chanID))). 41.95/15.98 thf(insert1671894227specID_type, type, insert1671894227specID: (secrecy_specID > (set_Secrecy_specID > set_Secrecy_specID))). 41.95/15.98 thf(is_emp928984296chanID_type, type, is_emp928984296chanID: (set_Secrecy_chanID > $o)). 41.95/15.98 thf(is_emp1849217361specID_type, type, is_emp1849217361specID: (set_Secrecy_specID > $o)). 41.95/15.98 thf(is_sin581274182chanID_type, type, is_sin581274182chanID: (set_Secrecy_chanID > $o)). 41.95/15.98 thf(is_sin1501507247specID_type, type, is_sin1501507247specID: (set_Secrecy_specID > $o)). 41.95/15.98 thf(pairwi1741995279chanID_type, type, pairwi1741995279chanID: ((secrecy_chanID > (secrecy_chanID > $o)) > (set_Secrecy_chanID > $o))). 41.95/15.98 thf(pairwi514744696specID_type, type, pairwi514744696specID: ((secrecy_specID > (secrecy_specID > $o)) > (set_Secrecy_specID > $o))). 41.95/15.98 thf(the_el2054381829chanID_type, type, the_el2054381829chanID: (set_Secrecy_chanID > secrecy_chanID)). 41.95/15.98 thf(the_el827131246specID_type, type, the_el827131246specID: (set_Secrecy_specID > secrecy_specID)). 41.95/15.98 thf(correctCompositionIn_type, type, correctCompositionIn: (secrecy_specID > $o)). 41.95/15.98 thf(correc965049635ionLoc_type, type, correc965049635ionLoc: (secrecy_specID > $o)). 41.95/15.98 thf(correc990227761ionOut_type, type, correc990227761ionOut: (secrecy_specID > $o)). 41.95/15.98 thf(correctInOutLoc_type, type, correctInOutLoc: (secrecy_specID > $o)). 41.95/15.98 thf(inStream_type, type, inStream: (secrecy_specID > (set_Secrecy_chanID > $o))). 41.95/15.98 thf(ins_type, type, ins: (secrecy_specID > set_Secrecy_chanID)). 41.95/15.98 thf(loc_type, type, loc: (secrecy_specID > set_Secrecy_chanID)). 41.95/15.98 thf(locStream_type, type, locStream: (secrecy_specID > (set_Secrecy_chanID > $o))). 41.95/15.98 thf(out_type, type, out: (secrecy_specID > set_Secrecy_chanID)). 41.95/15.98 thf(outStream_type, type, outStream: (secrecy_specID > (set_Secrecy_chanID > $o))). 41.95/15.98 thf(subcomponents_type, type, subcomponents: (secrecy_specID > set_Secrecy_specID)). 41.95/15.98 thf(member1967978193chanID_type, type, member1967978193chanID: (secrecy_chanID > (set_Secrecy_chanID > $o))). 41.95/15.98 thf(member740727610specID_type, type, member740727610specID: (secrecy_specID > (set_Secrecy_specID > $o))). 41.95/15.98 thf(p_type, type, p: secrecy_specID). 41.95/15.98 thf(pq_type, type, pq: secrecy_specID). 41.95/15.98 thf(q_type, type, q: secrecy_specID). 41.95/15.98 thf(ch_type, type, ch: secrecy_chanID). 41.95/15.98 thf(m_type, type, m: secrecy_Expression). 41.95/15.98 thf(172,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: (((insert1671894227specID @ A @ bot_bo1785112429specID) = (insert1671894227specID @ B @ C)) = ((ord_le996703545specID @ C @ (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_singleton__insert__inj__eq)). 41.95/15.98 thf(892,plain,((! [A:secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: (((insert1671894227specID @ A @ bot_bo1785112429specID) = (insert1671894227specID @ B @ C)) = ((ord_le996703545specID @ C @ (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[172])). 41.95/15.98 thf(142,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ B @ A) <= (A = (sup_su370684444chanID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_sup_OorderI)). 41.95/15.98 thf(809,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ B @ A) | ~ (A = (sup_su370684444chanID @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[142])). 41.95/15.98 thf(129,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((((ine @ C @ B) | (ine @ D @ B)) <= (correctCompositionIn @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID)))) <= (ine @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_TBtheorem1a)). 41.95/15.98 thf(760,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((ine @ C @ B) | (ine @ D @ B) | ~ (correctCompositionIn @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) | ~ (ine @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[129])). 41.95/15.98 thf(332,axiom,((! [A:set_Secrecy_chanID]: ((collec625564175chanID @ (^ [B:secrecy_chanID]: (member1967978193chanID @ B @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_Collect__mem__eq)). 41.95/15.98 thf(1454,plain,((! [A:set_Secrecy_chanID]: ((collec625564175chanID @ (^ [B:secrecy_chanID]: (member1967978193chanID @ B @ A))) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[332])). 41.95/15.98 thf(155,axiom,((insert1671894227specID = (^ [A:secrecy_specID]: (sup_su1712599557specID @ (insert1671894227specID @ A @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_276_insert__is__Un)). 41.95/15.98 thf(846,plain,(((insert1671894227specID) = (^ [A:secrecy_specID]: (sup_su1712599557specID @ (insert1671894227specID @ A @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[155])). 41.95/15.98 thf(134,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((insert1671894227specID @ A @ B) = (insert1671894227specID @ C @ bot_bo1785112429specID)) = ((ord_le996703545specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_singleton__insert__inj__eq_H)). 41.95/15.98 thf(777,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((insert1671894227specID @ A @ B) = (insert1671894227specID @ C @ bot_bo1785112429specID)) = ((ord_le996703545specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)) & (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[134])). 41.95/15.98 thf(46,axiom,((! [A:set_Secrecy_specID]: (((is_sin1501507247specID @ A) <= (! [B:secrecy_specID,C:secrecy_specID]: ((member740727610specID @ B @ A) => ((member740727610specID @ C @ A) => (B = C))))) <= (A != bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_is__singletonI_H)). 41.95/15.98 thf(481,plain,((! [A:set_Secrecy_specID]: ((is_sin1501507247specID @ A) | ~ (! [B:secrecy_specID,C:secrecy_specID]: ((member740727610specID @ B @ A) => ((member740727610specID @ C @ A) => (B = C)))) | (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])). 41.95/15.98 thf(10,axiom,((! [A:set_Secrecy_specID]: ((ord_le996703545specID @ A @ bot_bo1785112429specID) = (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_subset__empty)). 41.95/15.98 thf(365,plain,((! [A:set_Secrecy_specID]: ((ord_le996703545specID @ A @ bot_bo1785112429specID) = (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 41.95/15.98 thf(263,axiom,((ineM = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ? [D:secrecy_chanID]: ((member1967978193chanID @ D @ (ins @ A)) & (exprChannel @ D @ C) & (member1967978193chanID @ D @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_ineM__def)). 41.95/15.98 thf(1190,plain,(((ineM) = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ? [D:secrecy_chanID]: ((member1967978193chanID @ D @ (ins @ A)) & (exprChannel @ D @ C) & (member1967978193chanID @ D @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[263])). 41.95/15.98 thf(178,axiom,((! [A:secrecy_chanID]: ((the_el2054381829chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_the__elem__eq)). 41.95/15.98 thf(909,plain,((! [A:secrecy_chanID]: ((the_el2054381829chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[178])). 41.95/15.98 thf(220,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((sup_su370684444chanID @ A @ B) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_Un__absorb1)). 41.95/15.98 thf(1031,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((sup_su370684444chanID @ A @ B) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[220])). 41.95/15.98 thf(212,axiom,((sup_su370684444chanID = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (sup_su370684444chanID @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_269_Un__commute)). 41.95/15.98 thf(1005,plain,(((sup_su370684444chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (sup_su370684444chanID @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[212])). 41.95/15.98 thf(322,axiom,((! [A:secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_singletonI)). 41.95/15.98 thf(1406,plain,((! [A:secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[322])). 41.95/15.98 thf(15,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((~ (member740727610specID @ A @ B)) => ((ord_le996703545specID @ B @ (insert1671894227specID @ A @ C)) = (ord_le996703545specID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_subset__insert)). 41.95/15.98 thf(379,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((~ (member740727610specID @ A @ B)) => ((ord_le996703545specID @ B @ (insert1671894227specID @ A @ C)) = (ord_le996703545specID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 41.95/15.98 thf(161,axiom,((! [A:secrecy_specID,B:secrecy_specID]: (((insert1671894227specID @ A @ bot_bo1785112429specID) = (insert1671894227specID @ B @ bot_bo1785112429specID)) => (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_singleton__inject)). 41.95/15.98 thf(861,plain,((! [A:secrecy_specID,B:secrecy_specID]: (((insert1671894227specID @ A @ bot_bo1785112429specID) = (insert1671894227specID @ B @ bot_bo1785112429specID)) => (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[161])). 41.95/15.98 thf(259,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((ine @ A @ B) => (((correctCompositionIn @ C) => ((ine @ C @ B) <= (? [E:secrecy_chanID]: ((member1967978193chanID @ E @ (ins @ A)) & ~ (member1967978193chanID @ E @ (loc @ C)) & (exprChannel @ E @ B))))) <= ((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_TBtheorem4a__P)). 41.95/15.98 thf(1173,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((ine @ A @ B) => (((correctCompositionIn @ C) => ((ine @ C @ B) | ~ (? [E:secrecy_chanID]: ((member1967978193chanID @ E @ (ins @ A)) & ~ (member1967978193chanID @ E @ (loc @ C)) & (exprChannel @ E @ B))))) | ~ ((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[259])). 41.95/15.98 thf(93,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ B) <= (ord_le1802272080chanID @ C @ B)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_256_Un__least)). 41.95/15.98 thf(655,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ B) | ~ (ord_le1802272080chanID @ C @ B) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[93])). 41.95/15.98 thf(53,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((ord_le996703545specID @ B @ A) => (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_subset__antisym)). 41.95/15.98 thf(511,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((ord_le996703545specID @ B @ A) => (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])). 41.95/15.98 thf(296,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => ((inf_in1474033538chanID @ (insert751661162chanID @ A @ C) @ B) = (insert751661162chanID @ A @ (inf_in1474033538chanID @ C @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_Int__insert__left__if1)). 41.95/15.98 thf(1305,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => ((inf_in1474033538chanID @ (insert751661162chanID @ A @ C) @ B) = (insert751661162chanID @ A @ (inf_in1474033538chanID @ C @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[296])). 41.95/15.98 thf(77,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((~ (member740727610specID @ A @ B)) => ((~ (member740727610specID @ A @ C)) => (((insert1671894227specID @ A @ B) = (insert1671894227specID @ A @ C)) = (B = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_insert__ident)). 41.95/15.98 thf(597,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((~ (member740727610specID @ A @ B)) => ((~ (member740727610specID @ A @ C)) => (((insert1671894227specID @ A @ B) = (insert1671894227specID @ A @ C)) = (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[77])). 41.95/15.98 thf(17,axiom,((! [A:set_Secrecy_specID]: ((ord_le996703545specID @ A @ bot_bo1785112429specID) = (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_bot_Oextremum__unique)). 41.95/15.98 thf(385,plain,((! [A:set_Secrecy_specID]: ((ord_le996703545specID @ A @ bot_bo1785112429specID) = (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 41.95/15.98 thf(139,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_320_sup_Ocobounded1)). 41.95/15.98 thf(797,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[139])). 41.95/15.98 thf(287,axiom,((ine_exprChannelSet = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: ((~ (exprChannel @ D @ C)) <= ((member1967978193chanID @ D @ (ins @ A)) & ~ (member1967978193chanID @ D @ B))) & ! [D:secrecy_chanID]: (((exprChannel @ D @ C) & (member1967978193chanID @ D @ (ins @ A))) <= (member1967978193chanID @ D @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_ine__exprChannelSet__def)). 41.95/15.98 thf(1275,plain,(((ine_exprChannelSet) = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: (~ (exprChannel @ D @ C) | ~ ((member1967978193chanID @ D @ (ins @ A)) & ~ (member1967978193chanID @ D @ B))) & ! [D:secrecy_chanID]: (((exprChannel @ D @ C) & (member1967978193chanID @ D @ (ins @ A))) | ~ (member1967978193chanID @ D @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[287])). 41.95/15.98 thf(303,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID,D:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((((insert751661162chanID @ A @ B) = (insert751661162chanID @ C @ D)) = (((? [E:set_Secrecy_chanID]: ((B = (insert751661162chanID @ C @ E)) & ~ (member1967978193chanID @ C @ E) & ~ (member1967978193chanID @ A @ E) & (D = (insert751661162chanID @ A @ E)))) <= (A != C)) & ((B = D) <= (A = C)))) <= (~ (member1967978193chanID @ C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_insert__eq__iff)). 41.95/15.98 thf(1327,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID,D:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((((insert751661162chanID @ A @ B) = (insert751661162chanID @ C @ D)) = ((? [E:set_Secrecy_chanID]: ((B = (insert751661162chanID @ C @ E)) & ~ (member1967978193chanID @ C @ E) & ~ (member1967978193chanID @ A @ E) & (D = (insert751661162chanID @ A @ E))) | (A = C)) & ((B = D) | ~ (A = C)))) | (member1967978193chanID @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[303])). 41.95/15.98 thf(107,axiom,((! [A:set_Secrecy_chanID]: (ord_le1802272080chanID @ bot_bo443197316chanID @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_133_empty__subsetI)). 41.95/15.98 thf(698,plain,((! [A:set_Secrecy_chanID]: (ord_le1802272080chanID @ bot_bo443197316chanID @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[107])). 41.95/15.98 thf(124,axiom,((! [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((out_ex985543062Single @ A @ B @ C) <= (out_exprChannelSet @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_out__exprChannelSet__Single)). 41.95/15.98 thf(747,plain,((! [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((out_ex985543062Single @ A @ B @ C) | ~ (out_exprChannelSet @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[124])). 41.95/15.98 thf(184,axiom,((! [A:secrecy_specID]: (is_sin1501507247specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_is__singletonI)). 41.95/15.98 thf(930,plain,((! [A:secrecy_specID]: (is_sin1501507247specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[184])). 41.95/15.98 thf(98,axiom,((! [A:set_Secrecy_chanID]: ((A = bot_bo443197316chanID) <= (ord_le1802272080chanID @ A @ bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_bot_Oextremum__uniqueI)). 41.95/15.98 thf(670,plain,((! [A:set_Secrecy_chanID]: ((A = bot_bo443197316chanID) | ~ (ord_le1802272080chanID @ A @ bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[98])). 41.95/15.98 thf(231,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) <= (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_eq__refl)). 41.95/15.98 thf(1063,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) | ~ (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[231])). 41.95/15.98 thf(3,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ (uminus238526242specID @ B)) <= (~ (member740727610specID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_334_ComplI)). 41.95/15.98 thf(340,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ (uminus238526242specID @ B)) | (member740727610specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 41.95/15.98 thf(242,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((sup_su370684444chanID @ B @ A) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_Un__absorb2)). 41.95/15.98 thf(1095,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((sup_su370684444chanID @ B @ A) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[242])). 41.95/15.98 thf(265,axiom,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((ord_le1802272080chanID @ A @ (uminus1044094777chanID @ (insert751661162chanID @ B @ bot_bo443197316chanID))) = (~ (member1967978193chanID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_subset__Compl__singleton)). 41.95/15.98 thf(1196,plain,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((ord_le1802272080chanID @ A @ (uminus1044094777chanID @ (insert751661162chanID @ B @ bot_bo443197316chanID))) = (~ (member1967978193chanID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[265])). 41.95/15.98 thf(174,axiom,((bot_bo1012329985anID_o = (^ [A:secrecy_chanID]: (bot_bot_o)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_bot__fun__def)). 41.95/15.98 thf(898,plain,(((bot_bo1012329985anID_o) = (^ [A:secrecy_chanID]: (bot_bot_o)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[174])). 41.95/15.98 thf(317,axiom,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) => (ord_le1802272080chanID @ A @ bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_subset__emptyI)). 41.95/15.98 thf(1391,plain,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) => (ord_le1802272080chanID @ A @ bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[317])). 41.95/15.98 thf(315,axiom,((! [A:secrecy_specID]: ((((loc @ A) = bot_bo443197316chanID) <= ((subcomponents @ A) = bot_bo1785112429specID)) <= (correc965049635ionLoc @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_subcomponents__loc)). 41.95/15.98 thf(1386,plain,((! [A:secrecy_specID]: (((loc @ A) = bot_bo443197316chanID) | ~ ((subcomponents @ A) = bot_bo1785112429specID) | ~ (correc965049635ionLoc @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[315])). 41.95/15.98 thf(338,axiom,((exprChannel @ ch @ m)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_assms_I4_J)). 41.95/15.98 thf(1475,plain,((exprChannel @ ch @ m)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[338])). 41.95/15.98 thf(280,axiom,((out_exprChannelSet = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: ((~ (exprChannel @ D @ C)) <= (~ (member1967978193chanID @ D @ B) & (member1967978193chanID @ D @ (out @ A)))) & ! [D:secrecy_chanID]: (((member1967978193chanID @ D @ (out @ A)) & (exprChannel @ D @ C)) <= (member1967978193chanID @ D @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_out__exprChannelSet__def)). 41.95/15.98 thf(1254,plain,(((out_exprChannelSet) = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: (~ (exprChannel @ D @ C) | ~ (~ (member1967978193chanID @ D @ B) & (member1967978193chanID @ D @ (out @ A)))) & ! [D:secrecy_chanID]: (((member1967978193chanID @ D @ (out @ A)) & (exprChannel @ D @ C)) | ~ (member1967978193chanID @ D @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[280])). 41.95/15.98 thf(91,axiom,((insert751661162chanID = (^ [A:secrecy_chanID]: (sup_su370684444chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_277_insert__is__Un)). 41.95/15.98 thf(651,plain,(((insert751661162chanID) = (^ [A:secrecy_chanID]: (sup_su370684444chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[91])). 41.95/15.98 thf(170,axiom,((! [A:set_Secrecy_chanID]: ((~ (! [B:secrecy_chanID]: (A != (insert751661162chanID @ B @ bot_bo443197316chanID)))) <= (is_sin581274182chanID @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_is__singletonE)). 41.95/15.98 thf(885,plain,((! [A:set_Secrecy_chanID]: (~ (! [B:secrecy_chanID]: ~ (A = (insert751661162chanID @ B @ bot_bo443197316chanID))) | ~ (is_sin581274182chanID @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[170])). 41.95/15.98 thf(225,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = (insert751661162chanID @ C @ bot_bo443197316chanID)) = (((A = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (B = bot_bo443197316chanID)) | ((B = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (A = (insert751661162chanID @ C @ bot_bo443197316chanID))) | ((B = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (A = bot_bo443197316chanID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_Un__singleton__iff)). 41.95/15.98 thf(1046,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = (insert751661162chanID @ C @ bot_bo443197316chanID)) = (((A = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (B = bot_bo443197316chanID)) | ((B = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (A = (insert751661162chanID @ C @ bot_bo443197316chanID))) | ((B = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (A = bot_bo443197316chanID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[225])). 41.95/15.98 thf(66,axiom,((ord_le996703545specID = (^ [A:set_Secrecy_specID,B:set_Secrecy_specID]: ! [C:secrecy_specID]: ((member740727610specID @ C @ A) => (member740727610specID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_subset__iff)). 41.95/15.98 thf(565,plain,(((ord_le996703545specID) = (^ [A:set_Secrecy_specID,B:set_Secrecy_specID]: ! [C:secrecy_specID]: ((member740727610specID @ C @ A) => (member740727610specID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])). 41.95/15.98 thf(311,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc990227761ionOut @ D) => ((eout @ D @ B) <= (? [E:secrecy_chanID]: (((member1967978193chanID @ E @ (out @ A)) | (member1967978193chanID @ E @ (out @ C))) & ~ (member1967978193chanID @ E @ (loc @ D)) & (exprChannel @ E @ B)))))) <= ((eout @ A @ B) | (eout @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_TBtheorem5a__PQ)). 41.95/15.98 thf(1366,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc990227761ionOut @ D) => ((eout @ D @ B) | ~ (? [E:secrecy_chanID]: (((member1967978193chanID @ E @ (out @ A)) | (member1967978193chanID @ E @ (out @ C))) & ~ (member1967978193chanID @ E @ (loc @ D)) & (exprChannel @ E @ B)))))) | ~ ((eout @ A @ B) | (eout @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[311])). 41.95/15.98 thf(228,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((ord_le1802272080chanID @ B @ A) => (A = B)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_order__class_Oorder_Oantisym)). 41.95/15.98 thf(1055,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((ord_le1802272080chanID @ B @ A) => (A = B)) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[228])). 41.95/15.98 thf(291,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((inf_in1474033538chanID @ B @ (insert751661162chanID @ A @ C)) = (inf_in1474033538chanID @ B @ C)) <= (~ (member1967978193chanID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_350_Int__insert__right__if0)). 41.95/15.98 thf(1287,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((inf_in1474033538chanID @ B @ (insert751661162chanID @ A @ C)) = (inf_in1474033538chanID @ B @ C)) | (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[291])). 41.95/15.98 thf(294,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:secrecy_chanID]: ((~ (ineM @ A @ B @ C)) => ((~ (ineM @ D @ B @ C)) => (((((member1967978193chanID @ F @ (ins @ E)) => (~ (exprChannel @ F @ C))) <= (member1967978193chanID @ F @ B)) <= (correctCompositionIn @ E)) <= ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_TBlemma3b)). 41.95/15.98 thf(1298,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:secrecy_chanID]: ((~ (ineM @ A @ B @ C)) => ((~ (ineM @ D @ B @ C)) => (((member1967978193chanID @ F @ (ins @ E)) => (~ (exprChannel @ F @ C))) | ~ (member1967978193chanID @ F @ B) | ~ (correctCompositionIn @ E) | ~ ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[294])). 41.95/15.98 thf(51,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (sup_su1712599557specID @ B @ C)) = ((member740727610specID @ A @ B) | (member740727610specID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_237_Un__iff)). 41.95/15.98 thf(504,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (sup_su1712599557specID @ B @ C)) = ((member740727610specID @ A @ B) | (member740727610specID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])). 41.95/15.98 thf(186,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((insert751661162chanID @ A @ B) = (insert751661162chanID @ C @ bot_bo443197316chanID)) = ((A = C) & (ord_le1802272080chanID @ B @ (insert751661162chanID @ C @ bot_bo443197316chanID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_singleton__insert__inj__eq_H)). 41.95/15.98 thf(934,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((insert751661162chanID @ A @ B) = (insert751661162chanID @ C @ bot_bo443197316chanID)) = ((A = C) & (ord_le1802272080chanID @ B @ (insert751661162chanID @ C @ bot_bo443197316chanID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[186])). 41.95/15.98 thf(249,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_specID,D:secrecy_Expression]: ((member1967978193chanID @ A @ B) => (((exprChannel @ A @ D) => (ineM @ C @ B @ D)) <= (member1967978193chanID @ A @ (ins @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_ineM__L1)). 41.95/15.98 thf(1132,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_specID,D:secrecy_Expression]: ((member1967978193chanID @ A @ B) => (((exprChannel @ A @ D) => (ineM @ C @ B @ D)) | ~ (member1967978193chanID @ A @ (ins @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[249])). 41.95/15.98 thf(302,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((ineM @ A @ B @ C) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ E)) & (exprChannel @ F @ C) & ~ (member1967978193chanID @ F @ (loc @ D)) & (member1967978193chanID @ F @ B))) => (ineM @ D @ B @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_TBtheorem4b__P)). 41.95/15.98 thf(1323,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((ineM @ A @ B @ C) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ E)) & (exprChannel @ F @ C) & ~ (member1967978193chanID @ F @ (loc @ D)) & (member1967978193chanID @ F @ B))) => (ineM @ D @ B @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[302])). 41.95/15.98 thf(152,axiom,((is_emp928984296chanID = (^ [A:set_Secrecy_chanID]: (A = bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_Set_Ois__empty__def)). 41.95/15.98 thf(838,plain,(((is_emp928984296chanID) = (^ [A:set_Secrecy_chanID]: (A = bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[152])). 41.95/15.98 thf(180,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (((B = bot_bo443197316chanID) => (~ (ine @ A @ C))) <= (ine_exprChannelSet @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_ine__empty__exprChannelSet)). 41.95/15.98 thf(917,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (((B = bot_bo443197316chanID) => (~ (ine @ A @ C))) | ~ (ine_exprChannelSet @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[180])). 41.95/15.98 thf(109,axiom,((! [A:set_Secrecy_chanID]: ((inf_in1474033538chanID @ A @ bot_bo443197316chanID) = bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_342_inf__bot__right)). 41.95/15.98 thf(702,plain,((! [A:set_Secrecy_chanID]: ((inf_in1474033538chanID @ A @ bot_bo443197316chanID) = bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[109])). 41.95/15.98 thf(158,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correctCompositionIn @ E) => (~ (ineM @ E @ B @ C)))) <= (~ (ineM @ D @ B @ C))) <= (~ (ineM @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_TBtheorem3b)). 41.95/15.98 thf(853,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correctCompositionIn @ E) => (~ (ineM @ E @ B @ C)))) | (ineM @ D @ B @ C) | (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[158])). 41.95/15.98 thf(215,axiom,((! [A:(secrecy_specID > (secrecy_specID > $o)),B:secrecy_specID]: (pairwi514744696specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_pairwise__singleton)). 41.95/15.98 thf(1013,plain,((! [A:(secrecy_specID > (secrecy_specID > $o)),B:secrecy_specID]: (pairwi514744696specID @ (A) @ (insert1671894227specID @ B @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[215])). 41.95/15.98 thf(295,axiom,((! [A:secrecy_chanID,B:(secrecy_chanID > $o)]: ((member1967978193chanID @ A @ (collec625564175chanID @ B)) = (B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_mem__Collect__eq)). 41.95/15.98 thf(1302,plain,((! [A:secrecy_chanID,B:(secrecy_chanID > $o)]: ((member1967978193chanID @ A @ (collec625564175chanID @ (B))) = (B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[295])). 41.95/15.98 thf(331,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((~ (! [C:set_Secrecy_chanID]: ((B = (insert751661162chanID @ A @ C)) => (member1967978193chanID @ A @ C)))) <= (member1967978193chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_Set_Oset__insert)). 41.95/15.98 thf(1450,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: (~ (! [C:set_Secrecy_chanID]: ((B = (insert751661162chanID @ A @ C)) => (member1967978193chanID @ A @ C))) | ~ (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[331])). 41.95/15.98 thf(75,axiom,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_emptyE)). 41.95/15.98 thf(591,plain,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[75])). 41.95/15.98 thf(14,axiom,((! [A:set_Secrecy_specID]: ((? [B:secrecy_specID]: (member740727610specID @ B @ A)) = (A != bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_ex__in__conv)). 41.95/15.98 thf(376,plain,((! [A:set_Secrecy_specID]: ((? [B:secrecy_specID]: (member740727610specID @ B @ A)) = (~ (A = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 41.95/15.98 thf(54,axiom,((! [A:set_Secrecy_specID]: (ord_le996703545specID @ A @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_order__refl)). 41.95/15.98 thf(514,plain,((! [A:set_Secrecy_specID]: (ord_le996703545specID @ A @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])). 41.95/15.98 thf(187,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le1802272080chanID @ C @ B) => (ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_308_sup__least)). 41.95/15.98 thf(937,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le1802272080chanID @ C @ B) => (ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[187])). 41.95/15.98 thf(261,axiom,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_empty__iff)). 41.95/15.98 thf(1183,plain,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[261])). 41.95/15.98 thf(146,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => (((eout @ D @ B) | (eout @ C @ B)) <= (correc990227761ionOut @ A))) <= (eout @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_TBtheorem2a)). 41.95/15.98 thf(821,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((eout @ D @ B) | (eout @ C @ B) | ~ (correc990227761ionOut @ A))) | ~ (eout @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[146])). 41.95/15.98 thf(326,axiom,((! [A:(secrecy_chanID > (secrecy_chanID > $o)),B:secrecy_chanID,C:set_Secrecy_chanID]: ((pairwi1741995279chanID @ A @ (insert751661162chanID @ B @ C)) = (! [D:secrecy_chanID]: (((A @ B @ D) & (A @ D @ B)) <= ((D != B) & (member1967978193chanID @ D @ C))) & (pairwi1741995279chanID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_pairwise__insert)). 41.95/15.98 thf(1418,plain,((! [A:(secrecy_chanID > (secrecy_chanID > $o)),B:secrecy_chanID,C:set_Secrecy_chanID]: ((pairwi1741995279chanID @ (A) @ (insert751661162chanID @ B @ C)) = (! [D:secrecy_chanID]: (((A @ B @ D) & (A @ D @ B)) | ~ (~ (D = B) & (member1967978193chanID @ D @ C))) & (pairwi1741995279chanID @ (A) @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[326])). 41.95/15.98 thf(83,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((ord_le996703545specID @ (insert1671894227specID @ A @ B) @ C) = ((ord_le996703545specID @ B @ C) & (member740727610specID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_insert__subset)). 41.95/15.98 thf(623,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((ord_le996703545specID @ (insert1671894227specID @ A @ B) @ C) = ((ord_le996703545specID @ B @ C) & (member740727610specID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[83])). 41.95/15.98 thf(305,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((ine @ A @ B) | (ine @ C @ B)) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => ((ine @ D @ B) <= (? [E:secrecy_chanID]: (((member1967978193chanID @ E @ (ins @ A)) | (member1967978193chanID @ E @ (ins @ C))) & ~ (member1967978193chanID @ E @ (loc @ D)) & (exprChannel @ E @ B))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_TBtheorem4a__PQ)). 41.95/15.98 thf(1334,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((ine @ A @ B) | (ine @ C @ B)) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => ((ine @ D @ B) | ~ (? [E:secrecy_chanID]: (((member1967978193chanID @ E @ (ins @ A)) | (member1967978193chanID @ E @ (ins @ C))) & ~ (member1967978193chanID @ E @ (loc @ D)) & (exprChannel @ E @ B))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[305])). 41.95/15.98 thf(89,axiom,((! [A:secrecy_chanID]: (is_sin581274182chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_is__singletonI)). 41.95/15.98 thf(646,plain,((! [A:secrecy_chanID]: (is_sin581274182chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[89])). 41.95/15.98 thf(314,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((member1967978193chanID @ C @ B) <= (member1967978193chanID @ C @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_subsetD)). 41.95/15.98 thf(1383,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((member1967978193chanID @ C @ B) | ~ (member1967978193chanID @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[314])). 41.95/15.98 thf(6,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: (((sup_su1712599557specID @ A @ B) = bot_bo1785112429specID) = ((A = bot_bo1785112429specID) & (B = bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_sup__eq__bot__iff)). 41.95/15.98 thf(348,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: (((sup_su1712599557specID @ A @ B) = bot_bo1785112429specID) = ((A = bot_bo1785112429specID) & (B = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 41.95/15.98 thf(204,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID) = ((B = bot_bo443197316chanID) & (A = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_sup__eq__bot__iff)). 41.95/15.98 thf(981,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID) = ((B = bot_bo443197316chanID) & (A = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[204])). 41.95/15.98 thf(258,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((~ (member1967978193chanID @ A @ C)) => (((insert751661162chanID @ A @ B) = (insert751661162chanID @ A @ C)) = (B = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_insert__ident)). 41.95/15.98 thf(1169,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((~ (member1967978193chanID @ A @ C)) => (((insert751661162chanID @ A @ B) = (insert751661162chanID @ A @ C)) = (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[258])). 41.95/15.98 thf(119,axiom,((is_sin1501507247specID = (^ [A:set_Secrecy_specID]: (A = (insert1671894227specID @ (the_el827131246specID @ A) @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_is__singleton__the__elem)). 41.95/15.98 thf(734,plain,(((is_sin1501507247specID) = (^ [A:set_Secrecy_specID]: (A = (insert1671894227specID @ (the_el827131246specID @ A) @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[119])). 41.95/15.98 thf(195,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ B) @ C) = ((ord_le1802272080chanID @ B @ C) & (ord_le1802272080chanID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_245_Un__subset__iff)). 41.95/15.98 thf(956,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ B) @ C) = ((ord_le1802272080chanID @ B @ C) & (ord_le1802272080chanID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[195])). 41.95/15.98 thf(234,axiom,((! [A:secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_singletonI)). 41.95/15.98 thf(1072,plain,((! [A:secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[234])). 41.95/15.98 thf(318,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((member1967978193chanID @ C @ B) <= (member1967978193chanID @ C @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_in__mono)). 41.95/15.98 thf(1394,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((member1967978193chanID @ C @ B) | ~ (member1967978193chanID @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[318])). 41.95/15.98 thf(25,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ C @ B)) <= (member740727610specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_insertI2)). 41.95/15.98 thf(411,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ C @ B)) | ~ (member740727610specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 41.95/15.98 thf(244,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ A) => ((ine_exprChannelSet @ B @ D @ E) => ((ine_exprChannelSet @ C @ F @ E) => (((~ (ine @ A @ E)) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ F) => (member1967978193chanID @ G @ (loc @ A))))) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) <= (member1967978193chanID @ G @ D)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_TBtheorem4a__notPQ)). 41.95/15.98 thf(1104,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ A) => ((ine_exprChannelSet @ B @ D @ E) => ((ine_exprChannelSet @ C @ F @ E) => (~ (ine @ A @ E) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ F) => (member1967978193chanID @ G @ (loc @ A)))) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) | ~ (member1967978193chanID @ G @ D)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[244])). 41.95/15.98 thf(52,axiom,((! [A:set_Secrecy_specID]: ((A = bot_bo1785112429specID) <= (! [B:secrecy_specID]: ~ (member740727610specID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_equals0I)). 41.95/15.98 thf(507,plain,((! [A:set_Secrecy_specID]: ((A = bot_bo1785112429specID) | ~ (! [B:secrecy_specID]: ~ (member740727610specID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 41.95/15.98 thf(57,axiom,((! [A:set_Secrecy_specID,B:(set_Secrecy_chanID > set_Secrecy_specID),C:set_Secrecy_chanID,D:set_Secrecy_chanID]: ((((! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le996703545specID @ (B @ E) @ (B @ F)))) => (ord_le996703545specID @ A @ (B @ D))) <= (ord_le1802272080chanID @ C @ D)) <= (A = (B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_ord__eq__le__subst)). 41.95/15.98 thf(527,plain,((! [A:set_Secrecy_specID,B:(set_Secrecy_chanID > set_Secrecy_specID),C:set_Secrecy_chanID,D:set_Secrecy_chanID]: (((! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le996703545specID @ (B @ E) @ (B @ F)))) => (ord_le996703545specID @ A @ (B @ D))) | ~ (ord_le1802272080chanID @ C @ D) | ~ (A = (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])). 41.95/15.98 thf(167,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ B @ A) = B) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_sup__absorb1)). 41.95/15.98 thf(877,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ B @ A) = B) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[167])). 41.95/15.98 thf(105,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((A = B) <= (ord_le1802272080chanID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_subset__antisym)). 41.95/15.98 thf(692,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((A = B) | ~ (ord_le1802272080chanID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[105])). 41.95/15.98 thf(235,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((sup_su370684444chanID @ (sup_su370684444chanID @ A @ B) @ C) = (sup_su370684444chanID @ A @ (sup_su370684444chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_267_Un__assoc)). 41.95/15.98 thf(1074,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((sup_su370684444chanID @ (sup_su370684444chanID @ A @ B) @ C) = (sup_su370684444chanID @ A @ (sup_su370684444chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[235])). 41.95/15.98 thf(37,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) <= (! [C:secrecy_specID]: ((member740727610specID @ C @ B) <= (member740727610specID @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_subsetI)). 41.95/15.98 thf(452,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) | ~ (! [C:secrecy_specID]: ((member740727610specID @ C @ B) | ~ (member740727610specID @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])). 41.95/15.98 thf(95,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((insert1671894227specID @ A @ (insert1671894227specID @ A @ B)) = (insert1671894227specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_insert__absorb2)). 41.95/15.98 thf(661,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((insert1671894227specID @ A @ (insert1671894227specID @ A @ B)) = (insert1671894227specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[95])). 41.95/15.98 thf(61,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((sup_su1712599557specID @ (insert1671894227specID @ A @ B) @ C) = (insert1671894227specID @ A @ (sup_su1712599557specID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_Un__insert__left)). 41.95/15.98 thf(546,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((sup_su1712599557specID @ (insert1671894227specID @ A @ B) @ C) = (insert1671894227specID @ A @ (sup_su1712599557specID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])). 41.95/15.98 thf(182,axiom,((ord_le1802272080chanID = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ B) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_le__iff__sup)). 41.95/15.98 thf(925,plain,(((ord_le1802272080chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ B) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[182])). 41.95/15.98 thf(266,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ C @ B) => (ord_le1802272080chanID @ (insert751661162chanID @ A @ C) @ B)) <= (member1967978193chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_insert__subsetI)). 41.95/15.98 thf(1199,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ C @ B) => (ord_le1802272080chanID @ (insert751661162chanID @ A @ C) @ B)) | ~ (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[266])). 41.95/15.98 thf(336,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(secrecy_chanID > $o)]: ((? [D:secrecy_chanID]: ((member1967978193chanID @ D @ (sup_su370684444chanID @ A @ B)) & (C @ D))) = (? [D:secrecy_chanID]: ((member1967978193chanID @ D @ B) & (C @ D)) | ? [D:secrecy_chanID]: ((C @ D) & (member1967978193chanID @ D @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_bex__Un)). 41.95/15.98 thf(1470,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(secrecy_chanID > $o)]: ((? [D:secrecy_chanID]: ((member1967978193chanID @ D @ (sup_su370684444chanID @ A @ B)) & (C @ D))) = (? [D:secrecy_chanID]: ((member1967978193chanID @ D @ B) & (C @ D)) | ? [D:secrecy_chanID]: ((C @ D) & (member1967978193chanID @ D @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[336])). 41.95/15.98 thf(232,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_inf__sup__ord_I3_J)). 41.95/15.98 thf(1067,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[232])). 41.95/15.98 thf(286,axiom,((member1967978193chanID @ ch @ (ins @ p))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_assms_I3_J)). 41.95/15.98 thf(1274,plain,((member1967978193chanID @ ch @ (ins @ p))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[286])). 41.95/15.98 thf(147,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = B) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_314_sup_Oabsorb2)). 41.95/15.98 thf(825,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = B) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[147])). 41.95/15.98 thf(218,axiom,((bot_bo443197316chanID = (collec625564175chanID @ bot_bo1012329985anID_o))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_bot__set__def)). 41.95/15.98 thf(1021,plain,((bot_bo443197316chanID = (collec625564175chanID @ (bot_bo1012329985anID_o)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[218])). 41.95/15.98 thf(308,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((A = C) <= (~ (member1967978193chanID @ A @ B))) => (member1967978193chanID @ A @ (insert751661162chanID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_insertCI)). 41.95/15.98 thf(1355,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((A = C) | (member1967978193chanID @ A @ B)) => (member1967978193chanID @ A @ (insert751661162chanID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[308])). 41.95/15.98 thf(29,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: (((sup_su1712599557specID @ A @ B) = bot_bo1785112429specID) = ((A = bot_bo1785112429specID) & (B = bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_Un__empty)). 41.95/15.98 thf(429,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: (((sup_su1712599557specID @ A @ B) = bot_bo1785112429specID) = ((A = bot_bo1785112429specID) & (B = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 41.95/15.98 thf(144,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID,D:set_Secrecy_chanID]: (((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ (sup_su370684444chanID @ B @ D)) <= (ord_le1802272080chanID @ C @ D)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_306_sup_Omono)). 41.95/15.98 thf(815,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID,D:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ (sup_su370684444chanID @ B @ D)) | ~ (ord_le1802272080chanID @ C @ D) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[144])). 41.95/15.98 thf(274,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) <= (! [C:secrecy_chanID]: ((member1967978193chanID @ C @ A) => (member1967978193chanID @ C @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_subsetI)). 41.95/15.98 thf(1238,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) | ~ (! [C:secrecy_chanID]: ((member1967978193chanID @ C @ A) => (member1967978193chanID @ C @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[274])). 41.95/15.98 thf(224,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((insert751661162chanID @ A @ B) != bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_insert__not__empty)). 41.95/15.98 thf(1042,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ~ ((insert751661162chanID @ A @ B) = bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[224])). 41.95/15.98 thf(193,axiom,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: (ord_le1802272080chanID @ A @ (insert751661162chanID @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_subset__insertI)). 41.95/15.98 thf(952,plain,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: (ord_le1802272080chanID @ A @ (insert751661162chanID @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[193])). 41.95/15.98 thf(42,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_sup__bot__left)). 41.95/15.98 thf(467,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])). 41.95/15.98 thf(9,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (? [C:set_Secrecy_specID]: (~ (member740727610specID @ A @ C) & (B = (insert1671894227specID @ A @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_mk__disjoint__insert)). 41.95/15.98 thf(361,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (? [C:set_Secrecy_specID]: (~ (member740727610specID @ A @ C) & (B = (insert1671894227specID @ A @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 41.95/15.98 thf(31,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((ord_le996703545specID @ A @ C) <= (ord_le996703545specID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_order_Otrans)). 41.95/15.98 thf(435,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((ord_le996703545specID @ A @ C) | ~ (ord_le996703545specID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 41.95/15.98 thf(333,axiom,((out_ex985543062Single = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((member1967978193chanID @ B @ (out @ A)) & (exprChannel @ B @ C) & ! [D:secrecy_chanID,E:nat]: ((~ (exprChannel @ D @ C)) <= ((member1967978193chanID @ D @ (out @ A)) & (D != B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_out__exprChannelSingle__def)). 41.95/15.98 thf(1457,plain,(((out_ex985543062Single) = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((member1967978193chanID @ B @ (out @ A)) & (exprChannel @ B @ C) & ! [D:secrecy_chanID]: (~ (exprChannel @ D @ C) | ~ ((member1967978193chanID @ D @ (out @ A)) & ~ (D = B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[333])). 41.95/15.98 thf(171,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_268_Un__absorb)). 41.95/15.98 thf(889,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[171])). 41.95/15.98 thf(48,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (sup_su1712599557specID @ C @ B)) <= ((~ (member740727610specID @ A @ B)) => (member740727610specID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_235_UnCI)). 41.95/15.98 thf(493,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (sup_su1712599557specID @ C @ B)) | ~ ((~ (member740727610specID @ A @ B)) => (member740727610specID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 41.95/15.98 thf(237,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((A = B) <= (ord_le1802272080chanID @ B @ A)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_antisym)). 41.95/15.98 thf(1079,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((A = B) | ~ (ord_le1802272080chanID @ B @ A) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[237])). 41.95/15.98 thf(128,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID) = ((B = bot_bo443197316chanID) & (A = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_sup__bot_Oeq__neutr__iff)). 41.95/15.98 thf(757,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID) = ((B = bot_bo443197316chanID) & (A = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[128])). 41.95/15.98 thf(102,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:set_Secrecy_chanID]: ((~ (eoutM @ A @ C @ B)) <= (~ (eout @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_not__eout__eoutM)). 41.95/15.98 thf(682,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:set_Secrecy_chanID]: (~ (eoutM @ A @ C @ B) | (eout @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[102])). 41.95/15.98 thf(248,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => ((correc990227761ionOut @ D) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (out @ E)) & (exprChannel @ F @ C) & (member1967978193chanID @ F @ B) & ~ (member1967978193chanID @ F @ (loc @ D)))) => (eoutM @ D @ B @ C)))) <= (eoutM @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_TBtheore54b__P)). 41.95/15.98 thf(1128,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => ((correc990227761ionOut @ D) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (out @ E)) & (exprChannel @ F @ C) & (member1967978193chanID @ F @ B) & ~ (member1967978193chanID @ F @ (loc @ D)))) => (eoutM @ D @ B @ C)))) | ~ (eoutM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[248])). 41.95/15.98 thf(289,axiom,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) = (A = bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_all__not__in__conv)). 41.95/15.98 thf(1281,plain,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) = (A = bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[289])). 41.95/15.98 thf(292,axiom,((! [A:secrecy_chanID,B:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_singleton__iff)). 41.95/15.98 thf(1291,plain,((! [A:secrecy_chanID,B:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[292])). 41.95/15.98 thf(73,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((B = C) => (ord_le996703545specID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_ord__le__eq__trans)). 41.95/15.98 thf(583,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((B = C) => (ord_le996703545specID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[73])). 41.95/15.98 thf(149,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID,D:set_Secrecy_chanID]: (((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ (sup_su370684444chanID @ B @ D)) <= (ord_le1802272080chanID @ C @ D)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_sup__mono)). 41.95/15.98 thf(830,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID,D:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ (sup_su370684444chanID @ B @ D)) | ~ (ord_le1802272080chanID @ C @ D) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[149])). 41.95/15.98 thf(256,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:set_Secrecy_chanID]: ((((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => ((correc990227761ionOut @ D) => ((out_exprChannelSet @ E @ F @ C) => ((~ (eoutM @ D @ B @ C)) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ D)) <= (member1967978193chanID @ G @ F))))))) <= (~ (eoutM @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_TBtheorem5b__notP2)). 41.95/15.98 thf(1159,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:set_Secrecy_chanID]: ((((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => ((correc990227761ionOut @ D) => ((out_exprChannelSet @ E @ F @ C) => (~ (eoutM @ D @ B @ C) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ D)) | ~ (member1967978193chanID @ G @ F))))))) | (eoutM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[256])). 41.95/15.98 thf(40,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_insertI1)). 41.95/15.98 thf(461,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 41.95/15.98 thf(309,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((member1967978193chanID @ A @ B) => (member1967978193chanID @ A @ (insert751661162chanID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_insertI2)). 41.95/15.98 thf(1360,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((member1967978193chanID @ A @ B) => (member1967978193chanID @ A @ (insert751661162chanID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[309])). 41.95/15.98 thf(240,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => (B = (sup_su370684444chanID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_sup_OorderE)). 41.95/15.98 thf(1089,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => (B = (sup_su370684444chanID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[240])). 41.95/15.98 thf(166,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_sup_OcoboundedI2)). 41.95/15.98 thf(874,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[166])). 41.95/15.98 thf(282,axiom,((bot_bo1012329985anID_o = (^ [A:secrecy_chanID]: (member1967978193chanID @ A @ bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_bot__empty__eq)). 41.95/15.98 thf(1259,plain,(((bot_bo1012329985anID_o) = (^ [A:secrecy_chanID]: (member1967978193chanID @ A @ bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[282])). 41.95/15.98 thf(191,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_inf__sup__ord_I4_J)). 41.95/15.98 thf(948,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[191])). 41.95/15.98 thf(18,axiom,((! [A:set_Secrecy_specID]: (ord_le996703545specID @ A @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_dual__order_Orefl)). 41.95/15.98 thf(388,plain,((! [A:set_Secrecy_specID]: (ord_le996703545specID @ A @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 41.95/15.98 thf(164,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_255_Un__upper1)). 41.95/15.98 thf(869,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[164])). 41.95/15.98 thf(122,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((ord_le1802272080chanID @ B @ A) = (B = A)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_antisym__conv)). 41.95/15.98 thf(742,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((ord_le1802272080chanID @ B @ A) = (B = A)) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[122])). 41.95/15.98 thf(71,axiom,((! [A:set_Secrecy_specID]: ((ord_le996703545specID @ A @ bot_bo1785112429specID) => (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_bot_Oextremum__uniqueI)). 41.95/15.98 thf(578,plain,((! [A:set_Secrecy_specID]: ((ord_le996703545specID @ A @ bot_bo1785112429specID) => (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[71])). 41.95/15.98 thf(251,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID,G:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((((ine_exprChannelSet @ C @ F @ E) => (((~ (ineM @ A @ G @ E)) <= (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) <= (member1967978193chanID @ H @ F)))) <= (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ D) => (member1967978193chanID @ H @ (loc @ A)))))) <= (ine_exprChannelSet @ B @ D @ E)) <= (correctCompositionIn @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_TBtheorem4b__notPQ)). 41.95/15.98 thf(1138,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID,G:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((ine_exprChannelSet @ C @ F @ E) => (~ (ineM @ A @ G @ E) | ~ (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) | ~ (member1967978193chanID @ H @ F))) | ~ (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ D) => (member1967978193chanID @ H @ (loc @ A)))))) | ~ (ine_exprChannelSet @ B @ D @ E) | ~ (correctCompositionIn @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[251])). 41.95/15.98 thf(8,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ C @ B)) <= ((~ (member740727610specID @ A @ B)) => (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_insertCI)). 41.95/15.98 thf(356,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ C @ B)) | ~ ((~ (member740727610specID @ A @ B)) => (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 41.95/15.98 thf(159,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_302_sup__ge1)). 41.95/15.98 thf(857,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[159])). 41.95/15.98 thf(319,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(secrecy_chanID > $o)]: ((! [D:secrecy_chanID]: ((C @ D) <= (member1967978193chanID @ D @ (sup_su370684444chanID @ A @ B)))) = (! [D:secrecy_chanID]: ((C @ D) <= (member1967978193chanID @ D @ B)) & ! [D:secrecy_chanID]: ((C @ D) <= (member1967978193chanID @ D @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_ball__Un)). 41.95/15.98 thf(1397,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(secrecy_chanID > $o)]: ((! [D:secrecy_chanID]: ((C @ D) | ~ (member1967978193chanID @ D @ (sup_su370684444chanID @ A @ B)))) = (! [D:secrecy_chanID]: ((C @ D) | ~ (member1967978193chanID @ D @ B)) & ! [D:secrecy_chanID]: ((C @ D) | ~ (member1967978193chanID @ D @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[319])). 41.95/15.98 thf(238,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((insert1671894227specID @ A @ B) != bot_bo1785112429specID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_insert__not__empty)). 41.95/15.98 thf(1082,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ~ ((insert1671894227specID @ A @ B) = bot_bo1785112429specID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[238])). 41.95/15.98 thf(1,conjecture,((member1967978193chanID @ ch @ (loc @ pq))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 41.95/15.98 thf(2,negated_conjecture,((~ (member1967978193chanID @ ch @ (loc @ pq)))),inference(neg_conjecture,[status(cth)],[1])). 41.95/15.98 thf(339,plain,((~ (member1967978193chanID @ ch @ (loc @ pq)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 41.95/15.98 thf(64,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_246_Un__empty__left)). 41.95/15.98 thf(554,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])). 41.95/15.98 thf(325,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((? [C:set_Secrecy_chanID]: (~ (member1967978193chanID @ A @ C) & (B = (insert751661162chanID @ A @ C)))) <= (member1967978193chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_mk__disjoint__insert)). 41.95/15.98 thf(1414,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: (? [C:set_Secrecy_chanID]: (~ (member1967978193chanID @ A @ C) & (B = (insert751661162chanID @ A @ C))) | ~ (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[325])). 41.95/15.98 thf(86,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_sup__bot_Oright__neutral)). 41.95/15.98 thf(637,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[86])). 41.95/15.98 thf(47,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:(set_Secrecy_specID > set_Secrecy_chanID),D:set_Secrecy_chanID]: (((ord_le1802272080chanID @ (C @ B) @ D) => ((! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le1802272080chanID @ (C @ E) @ (C @ F)) <= (ord_le996703545specID @ E @ F))) => (ord_le1802272080chanID @ (C @ A) @ D))) <= (ord_le996703545specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_order__subst2)). 41.95/15.98 thf(489,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:(set_Secrecy_specID > set_Secrecy_chanID),D:set_Secrecy_chanID]: (((ord_le1802272080chanID @ (C @ B) @ D) => ((! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le1802272080chanID @ (C @ E) @ (C @ F)) | ~ (ord_le996703545specID @ E @ F))) => (ord_le1802272080chanID @ (C @ A) @ D))) | ~ (ord_le996703545specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])). 41.95/15.98 thf(269,axiom,((eoutM = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ? [D:secrecy_chanID]: ((member1967978193chanID @ D @ B) & (exprChannel @ D @ C) & (member1967978193chanID @ D @ (out @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_eoutM__def)). 41.95/15.98 thf(1214,plain,(((eoutM) = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ? [D:secrecy_chanID]: ((member1967978193chanID @ D @ B) & (exprChannel @ D @ C) & (member1967978193chanID @ D @ (out @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[269])). 41.95/15.98 thf(101,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_sup__bot_Oleft__neutral)). 41.95/15.98 thf(679,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[101])). 41.95/15.98 thf(223,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((sup_su370684444chanID @ (insert751661162chanID @ A @ B) @ C) = (insert751661162chanID @ A @ (sup_su370684444chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_242_Un__insert__left)). 41.95/15.98 thf(1039,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((sup_su370684444chanID @ (insert751661162chanID @ A @ B) @ C) = (insert751661162chanID @ A @ (sup_su370684444chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[223])). 41.95/15.98 thf(200,axiom,((is_sin1501507247specID = (^ [A:set_Secrecy_specID]: ? [B:secrecy_specID]: (A = (insert1671894227specID @ B @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_is__singleton__def)). 41.95/15.98 thf(970,plain,(((is_sin1501507247specID) = (^ [A:set_Secrecy_specID]: ? [B:secrecy_specID]: (A = (insert1671894227specID @ B @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[200])). 41.95/15.98 thf(264,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((ineM @ A @ B @ C) => ((((correctCompositionIn @ E) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ E)) & (member1967978193chanID @ F @ B) & (ine_ex1303305700Single @ A @ F @ C))) => (~ (ineM @ E @ B @ C)))) <= ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID)))) <= (~ (ineM @ D @ B @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_TBtheorem4b__notP1)). 41.95/15.98 thf(1192,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((ineM @ A @ B @ C) => (((correctCompositionIn @ E) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ E)) & (member1967978193chanID @ F @ B) & (ine_ex1303305700Single @ A @ F @ C))) => (~ (ineM @ E @ B @ C)))) | ~ ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) | (ineM @ D @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[264])). 41.95/15.98 thf(230,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_sup__bot_Oright__neutral)). 41.95/15.98 thf(1060,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[230])). 41.95/15.98 thf(205,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ B) @ C) = ((ord_le1802272080chanID @ A @ C) & (ord_le1802272080chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_286_le__sup__iff)). 41.95/15.98 thf(984,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ B) @ C) = ((ord_le1802272080chanID @ A @ C) & (ord_le1802272080chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[205])). 41.95/15.98 thf(211,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_sup__bot__right)). 41.95/15.98 thf(1002,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[211])). 41.95/15.98 thf(68,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((ord_le996703545specID @ B @ C) => (ord_le996703545specID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_order__trans)). 41.95/15.98 thf(569,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((ord_le996703545specID @ B @ C) => (ord_le996703545specID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])). 41.95/15.98 thf(79,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:(set_Secrecy_specID > set_Secrecy_specID),D:set_Secrecy_specID]: ((((C @ B) = D) => ((ord_le996703545specID @ (C @ A) @ D) <= (! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ E @ F) => (ord_le996703545specID @ (C @ E) @ (C @ F)))))) <= (ord_le996703545specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_155_ord__le__eq__subst)). 41.95/15.98 thf(605,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:(set_Secrecy_specID > set_Secrecy_specID),D:set_Secrecy_specID]: ((((C @ B) = D) => ((ord_le996703545specID @ (C @ A) @ D) | ~ (! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ E @ F) => (ord_le996703545specID @ (C @ E) @ (C @ F)))))) | ~ (ord_le996703545specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[79])). 41.95/15.98 thf(20,axiom,((! [A:(secrecy_specID > (secrecy_specID > $o))]: (pairwi514744696specID @ A @ bot_bo1785112429specID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_pairwise__empty)). 41.95/15.98 thf(393,plain,((! [A:(secrecy_specID > (secrecy_specID > $o))]: (pairwi514744696specID @ (A) @ bot_bo1785112429specID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 41.95/15.98 thf(245,axiom,(((subcomponents @ pq) = (insert1671894227specID @ p @ (insert1671894227specID @ q @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_assms_I1_J)). 41.95/15.98 thf(1114,plain,(((subcomponents @ pq) = (insert1671894227specID @ p @ (insert1671894227specID @ q @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[245])). 41.95/15.98 thf(300,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (uminus1044094777chanID @ B)) = (~ (member1967978193chanID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_Compl__iff)). 41.95/15.98 thf(1318,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (uminus1044094777chanID @ B)) = (~ (member1967978193chanID @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[300])). 41.95/15.98 thf(267,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((ineM @ A @ B @ C) | (ineM @ D @ B @ C)) => (((correctCompositionIn @ E) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ B) & (exprChannel @ F @ C) & ~ (member1967978193chanID @ F @ (loc @ E)) & ((member1967978193chanID @ F @ (ins @ D)) | (member1967978193chanID @ F @ (ins @ A))))) => (ineM @ E @ B @ C))) <= ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_TBtheorem4b__PQ)). 41.95/15.98 thf(1202,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((ineM @ A @ B @ C) | (ineM @ D @ B @ C)) => (((correctCompositionIn @ E) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ B) & (exprChannel @ F @ C) & ~ (member1967978193chanID @ F @ (loc @ E)) & ((member1967978193chanID @ F @ (ins @ D)) | (member1967978193chanID @ F @ (ins @ A))))) => (ineM @ E @ B @ C))) | ~ ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[267])). 41.95/15.98 thf(239,axiom,((! [A:secrecy_specID,B:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_singleton__iff)). 41.95/15.98 thf(1086,plain,((! [A:secrecy_specID,B:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[239])). 41.95/15.98 thf(275,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((inf_in1474033538chanID @ (insert751661162chanID @ A @ C) @ B) = (inf_in1474033538chanID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_Int__insert__left__if0)). 41.95/15.98 thf(1241,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((inf_in1474033538chanID @ (insert751661162chanID @ A @ C) @ B) = (inf_in1474033538chanID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[275])). 41.95/15.98 thf(85,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(set_Secrecy_chanID > set_Secrecy_specID),D:set_Secrecy_specID]: ((((ord_le996703545specID @ (C @ A) @ D) <= (! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le996703545specID @ (C @ E) @ (C @ F))))) <= (ord_le996703545specID @ (C @ B) @ D)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_order__subst2)). 41.95/15.98 thf(633,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(set_Secrecy_chanID > set_Secrecy_specID),D:set_Secrecy_specID]: ((ord_le996703545specID @ (C @ A) @ D) | ~ (! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le996703545specID @ (C @ E) @ (C @ F)))) | ~ (ord_le996703545specID @ (C @ B) @ D) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[85])). 41.95/15.98 thf(181,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((((ineM @ D @ B @ C) | (ineM @ E @ B @ C)) <= (correctCompositionIn @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ D @ (insert1671894227specID @ E @ bot_bo1785112429specID)))) <= (ineM @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_TBtheorem1b)). 41.95/15.98 thf(921,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((ineM @ D @ B @ C) | (ineM @ E @ B @ C) | ~ (correctCompositionIn @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ D @ (insert1671894227specID @ E @ bot_bo1785112429specID))) | ~ (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[181])). 41.95/15.98 thf(22,axiom,((! [A:set_Secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ (insert1671894227specID @ B @ C)) = (insert1671894227specID @ B @ (sup_su1712599557specID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_243_Un__insert__right)). 41.95/15.98 thf(398,plain,((! [A:set_Secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ (insert1671894227specID @ B @ C)) = (insert1671894227specID @ B @ (sup_su1712599557specID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 41.95/15.98 thf(177,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ (sup_su370684444chanID @ A @ B)) = (sup_su370684444chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_Un__left__absorb)). 41.95/15.98 thf(906,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ (sup_su370684444chanID @ A @ B)) = (sup_su370684444chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[177])). 41.95/15.98 thf(250,axiom,((! [A:secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ C)) => ((A != B) => (member1967978193chanID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_insertE)). 41.95/15.98 thf(1135,plain,((! [A:secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ C)) => ((~ (A = B)) => (member1967978193chanID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[250])). 41.95/15.98 thf(123,axiom,(((= @ set_Secrecy_chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) & (ord_le1802272080chanID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_order__class_Oorder_Oeq__iff)). 41.95/15.98 thf(745,plain,(((= @ set_Secrecy_chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) & (ord_le1802272080chanID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[123])). 41.95/15.98 thf(104,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((ine_exprChannelSet @ A @ B @ C) => ((B != bot_bo443197316chanID) => (ine @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_ine__nonempty__exprChannelSet)). 41.95/15.98 thf(689,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((ine_exprChannelSet @ A @ B @ C) => ((~ (B = bot_bo443197316chanID)) => (ine @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[104])). 41.95/15.98 thf(34,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((A = B) <= (ord_le996703545specID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_antisym)). 41.95/15.98 thf(444,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((A = B) | ~ (ord_le996703545specID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 41.95/15.98 thf(78,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((A = B) => (ord_le996703545specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_eq__refl)). 41.95/15.98 thf(601,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((A = B) => (ord_le996703545specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[78])). 41.95/15.98 thf(254,axiom,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_emptyE)). 41.95/15.98 thf(1154,plain,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[254])). 41.95/15.98 thf(202,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:set_Secrecy_chanID]: ((~ (ine @ A @ B)) => (~ (ineM @ A @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_not__ine__ineM)). 41.95/15.98 thf(975,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:set_Secrecy_chanID]: ((~ (ine @ A @ B)) => (~ (ineM @ A @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[202])). 41.95/15.98 thf(213,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_sup__bot__left)). 41.95/15.98 thf(1007,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[213])). 41.95/15.98 thf(316,axiom,((ine_ex1303305700Single = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((member1967978193chanID @ B @ (ins @ A)) & ! [D:secrecy_chanID,E:nat]: ((~ (exprChannel @ D @ C)) <= ((member1967978193chanID @ D @ (ins @ A)) & (D != B))) & (exprChannel @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_ine__exprChannelSingle__def)). 41.95/15.98 thf(1389,plain,(((ine_ex1303305700Single) = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((member1967978193chanID @ B @ (ins @ A)) & ! [D:secrecy_chanID]: (~ (exprChannel @ D @ C) | ~ ((member1967978193chanID @ D @ (ins @ A)) & ~ (D = B))) & (exprChannel @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[316])). 41.95/15.98 thf(154,axiom,((! [A:set_Secrecy_chanID]: ((inf_in1474033538chanID @ bot_bo443197316chanID @ A) = bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_340_inf__bot__left)). 41.95/15.98 thf(843,plain,((! [A:set_Secrecy_chanID]: ((inf_in1474033538chanID @ bot_bo443197316chanID @ A) = bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[154])). 41.95/15.98 thf(132,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((insert751661162chanID @ A @ (insert751661162chanID @ A @ B)) = (insert751661162chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_insert__absorb2)). 41.95/15.98 thf(772,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((insert751661162chanID @ A @ (insert751661162chanID @ A @ B)) = (insert751661162chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[132])). 41.95/15.98 thf(112,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ B @ C) => (ord_le1802272080chanID @ A @ C)) <= (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_ord__eq__le__trans)). 41.95/15.98 thf(711,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ B @ C) => (ord_le1802272080chanID @ A @ C)) | ~ (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[112])). 41.95/15.98 thf(321,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_chanID]: ((~ (ine @ A @ B)) => ((~ (member1967978193chanID @ C @ (ins @ A))) <= (exprChannel @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_ine__ins__neg1)). 41.95/15.98 thf(1403,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_chanID]: ((~ (ine @ A @ B)) => (~ (member1967978193chanID @ C @ (ins @ A)) | ~ (exprChannel @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[321])). 41.95/15.98 thf(281,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((~ (member1967978193chanID @ A @ B)) => (member1967978193chanID @ A @ C)) => (member1967978193chanID @ A @ (sup_su370684444chanID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_UnCI)). 41.95/15.98 thf(1256,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((~ (member1967978193chanID @ A @ B)) => (member1967978193chanID @ A @ C)) => (member1967978193chanID @ A @ (sup_su370684444chanID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[281])). 41.95/15.98 thf(69,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((A = B) <= (ord_le996703545specID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_order__class_Oorder_Oantisym)). 41.95/15.98 thf(572,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((A = B) | ~ (ord_le996703545specID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[69])). 41.95/15.98 thf(285,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => ((insert751661162chanID @ A @ B) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_insert__absorb)). 41.95/15.98 thf(1271,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => ((insert751661162chanID @ A @ B) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[285])). 41.95/15.98 thf(298,axiom,((ord_le1802272080chanID = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ! [C:secrecy_chanID]: ((member1967978193chanID @ C @ B) <= (member1967978193chanID @ C @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_subset__eq)). 41.95/15.98 thf(1312,plain,(((ord_le1802272080chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ! [C:secrecy_chanID]: ((member1967978193chanID @ C @ B) | ~ (member1967978193chanID @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[298])). 41.95/15.98 thf(137,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(set_Secrecy_chanID > set_Secrecy_chanID),D:set_Secrecy_chanID]: ((((ord_le1802272080chanID @ (C @ A) @ D) <= (! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le1802272080chanID @ (C @ E) @ (C @ F))))) <= ((C @ B) = D)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_ord__le__eq__subst)). 41.95/15.98 thf(787,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(set_Secrecy_chanID > set_Secrecy_chanID),D:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (C @ A) @ D) | ~ (! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le1802272080chanID @ (C @ E) @ (C @ F)))) | ~ ((C @ B) = D) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[137])). 41.95/15.98 thf(229,axiom,((outStream = (^ [A:secrecy_specID]: (= @ set_Secrecy_chanID @ (out @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_outStream__def)). 41.95/15.98 thf(1058,plain,(((outStream) = (^ [A:secrecy_specID]: (= @ set_Secrecy_chanID @ (out @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[229])). 41.95/15.98 thf(241,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID,D:set_Secrecy_chanID]: (((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ (sup_su370684444chanID @ B @ D)) <= (ord_le1802272080chanID @ C @ D)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_Un__mono)). 41.95/15.98 thf(1092,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID,D:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ (sup_su370684444chanID @ B @ D)) | ~ (ord_le1802272080chanID @ C @ D) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[241])). 41.95/15.98 thf(130,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (inf_in1474033538chanID @ B @ C)) = ((ord_le1802272080chanID @ A @ C) & (ord_le1802272080chanID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_le__inf__iff)). 41.95/15.98 thf(764,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (inf_in1474033538chanID @ B @ C)) = ((ord_le1802272080chanID @ A @ C) & (ord_le1802272080chanID @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[130])). 41.95/15.98 thf(175,axiom,((! [A:(secrecy_chanID > $o)]: (((collec625564175chanID @ A) = bot_bo443197316chanID) = (! [B:secrecy_chanID]: ~ (A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_Collect__empty__eq)). 41.95/15.98 thf(900,plain,((! [A:(secrecy_chanID > $o)]: (((collec625564175chanID @ (A)) = bot_bo443197316chanID) = (! [B:secrecy_chanID]: ~ (A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[175])). 41.95/15.98 thf(323,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((~ (eoutM @ D @ B @ C)) => (((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => (((? [F:secrecy_chanID]: ((out_ex985543062Single @ A @ F @ C) & (member1967978193chanID @ F @ (loc @ E)) & (member1967978193chanID @ F @ B))) => (~ (eoutM @ E @ B @ C))) <= (correc990227761ionOut @ E)))) <= (eoutM @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_TBtheorem5b__notP1)). 41.95/15.98 thf(1408,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((~ (eoutM @ D @ B @ C)) => (((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => (((? [F:secrecy_chanID]: ((out_ex985543062Single @ A @ F @ C) & (member1967978193chanID @ F @ (loc @ E)) & (member1967978193chanID @ F @ B))) => (~ (eoutM @ E @ B @ C))) | ~ (correc990227761ionOut @ E)))) | ~ (eoutM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[323])). 41.95/15.98 thf(136,axiom,((! [A:(secrecy_chanID > $o)]: (((collec625564175chanID @ A) = bot_bo443197316chanID) = (A = bot_bo1012329985anID_o)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_Collect__empty__eq__bot)). 41.95/15.98 thf(784,plain,((! [A:(secrecy_chanID > $o)]: (((collec625564175chanID @ (A)) = bot_bo443197316chanID) = ((A) = (bot_bo1012329985anID_o))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[136])). 41.95/15.98 thf(120,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(set_Secrecy_chanID > set_Secrecy_chanID),D:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le1802272080chanID @ (C @ B) @ D) => ((ord_le1802272080chanID @ (C @ A) @ D) <= (! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le1802272080chanID @ (C @ E) @ (C @ F))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_order__subst2)). 41.95/15.98 thf(736,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(set_Secrecy_chanID > set_Secrecy_chanID),D:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le1802272080chanID @ (C @ B) @ D) => ((ord_le1802272080chanID @ (C @ A) @ D) | ~ (! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le1802272080chanID @ (C @ E) @ (C @ F))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[120])). 41.95/15.98 thf(67,axiom,((! [A:set_Secrecy_specID]: (ord_le996703545specID @ bot_bo1785112429specID @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_empty__subsetI)). 41.95/15.98 thf(567,plain,((! [A:set_Secrecy_specID]: (ord_le996703545specID @ bot_bo1785112429specID @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])). 41.95/15.98 thf(168,axiom,(((= @ set_Secrecy_chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) & (ord_le1802272080chanID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_eq__iff)). 41.95/15.98 thf(880,plain,(((= @ set_Secrecy_chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) & (ord_le1802272080chanID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[168])). 41.95/15.98 thf(81,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:(set_Secrecy_specID > set_Secrecy_specID),D:set_Secrecy_specID]: (((ord_le996703545specID @ (C @ B) @ D) => ((! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ (C @ E) @ (C @ F)) <= (ord_le996703545specID @ E @ F))) => (ord_le996703545specID @ (C @ A) @ D))) <= (ord_le996703545specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_order__subst2)). 41.95/15.98 thf(616,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:(set_Secrecy_specID > set_Secrecy_specID),D:set_Secrecy_specID]: (((ord_le996703545specID @ (C @ B) @ D) => ((! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ (C @ E) @ (C @ F)) | ~ (ord_le996703545specID @ E @ F))) => (ord_le996703545specID @ (C @ A) @ D))) | ~ (ord_le996703545specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[81])). 41.95/15.98 thf(207,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ B) @ C) = ((ord_le1802272080chanID @ A @ C) & (ord_le1802272080chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_287_sup_Obounded__iff)). 41.95/15.98 thf(990,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ B) @ C) = ((ord_le1802272080chanID @ A @ C) & (ord_le1802272080chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[207])). 41.95/15.98 thf(209,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID) = ((B = bot_bo443197316chanID) & (A = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_240_Un__empty)). 41.95/15.98 thf(996,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID) = ((B = bot_bo443197316chanID) & (A = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[209])). 41.95/15.98 thf(312,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((ine @ A @ B) => ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => ((~ (ine @ D @ B)) <= (? [E:secrecy_chanID]: ((ine_ex1303305700Single @ A @ E @ B) & (member1967978193chanID @ E @ (loc @ D))))))) <= (~ (ine @ C @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_106_TBtheorem4a__notP1)). 41.95/15.98 thf(1376,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((ine @ A @ B) => ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => (~ (ine @ D @ B) | ~ (? [E:secrecy_chanID]: ((ine_ex1303305700Single @ A @ E @ B) & (member1967978193chanID @ E @ (loc @ D))))))) | (ine @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[312])). 41.95/15.98 thf(329,axiom,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((A = bot_bo443197316chanID) => (~ (member1967978193chanID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_equals0D)). 41.95/15.98 thf(1439,plain,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((A = bot_bo443197316chanID) => (~ (member1967978193chanID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[329])). 41.95/15.98 thf(58,axiom,((! [A:set_Secrecy_specID,B:(set_Secrecy_chanID > set_Secrecy_specID),C:set_Secrecy_chanID,D:set_Secrecy_chanID]: ((ord_le996703545specID @ A @ (B @ C)) => (((! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le996703545specID @ (B @ E) @ (B @ F)) <= (ord_le1802272080chanID @ E @ F))) => (ord_le996703545specID @ A @ (B @ D))) <= (ord_le1802272080chanID @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_order__subst1)). 41.95/15.98 thf(535,plain,((! [A:set_Secrecy_specID,B:(set_Secrecy_chanID > set_Secrecy_specID),C:set_Secrecy_chanID,D:set_Secrecy_chanID]: ((ord_le996703545specID @ A @ (B @ C)) => (((! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le996703545specID @ (B @ E) @ (B @ F)) | ~ (ord_le1802272080chanID @ E @ F))) => (ord_le996703545specID @ A @ (B @ D))) | ~ (ord_le1802272080chanID @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])). 41.95/15.98 thf(76,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_sup__bot__right)). 41.95/15.98 thf(594,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[76])). 41.95/15.98 thf(173,axiom,((! [A:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ bot_bo443197316chanID) = (A = bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_subset__empty)). 41.95/15.98 thf(895,plain,((! [A:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ bot_bo443197316chanID) = (A = bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[173])). 41.95/15.98 thf(198,axiom,((! [A:secrecy_specID]: ((the_el827131246specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_the__elem__eq)). 41.95/15.98 thf(964,plain,((! [A:secrecy_specID]: ((the_el827131246specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[198])). 41.95/15.98 thf(84,axiom,((! [A:set_Secrecy_specID,B:(secrecy_specID > (secrecy_specID > $o))]: ((pairwi514744696specID @ B @ A) <= (! [C:secrecy_specID,D:secrecy_specID]: ((((B @ C @ D) <= (C != D)) <= (member740727610specID @ D @ A)) <= (member740727610specID @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_pairwiseI)). 41.95/15.98 thf(626,plain,((! [A:set_Secrecy_specID,B:(secrecy_specID > (secrecy_specID > $o))]: ((pairwi514744696specID @ (B) @ A) | ~ (! [C:secrecy_specID,D:secrecy_specID]: ((B @ C @ D) | (C = D) | ~ (member740727610specID @ D @ A) | ~ (member740727610specID @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[84])). 41.95/15.98 thf(306,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (member1967978193chanID @ D @ (loc @ A))) => ((member1967978193chanID @ D @ (ins @ B)) => (member1967978193chanID @ D @ (ins @ A)))) <= (correctCompositionIn @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_correctCompositionIn__L1)). 41.95/15.98 thf(1344,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (member1967978193chanID @ D @ (loc @ A))) => ((member1967978193chanID @ D @ (ins @ B)) => (member1967978193chanID @ D @ (ins @ A)))) | ~ (correctCompositionIn @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[306])). 41.95/15.98 thf(189,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_249_Un__empty__right)). 41.95/15.98 thf(943,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[189])). 41.95/15.98 thf(260,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((eout @ C @ B) | (eout @ A @ B)) => ((((eout @ D @ B) <= ((loc @ D) = bot_bo443197316chanID)) <= (correc990227761ionOut @ D)) <= ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_TBtheorem5a__empty)). 41.95/15.98 thf(1177,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((eout @ C @ B) | (eout @ A @ B)) => ((eout @ D @ B) | ~ ((loc @ D) = bot_bo443197316chanID) | ~ (correc990227761ionOut @ D) | ~ ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[260])). 41.95/15.98 thf(185,axiom,((is_sin581274182chanID = (^ [A:set_Secrecy_chanID]: (A = (insert751661162chanID @ (the_el2054381829chanID @ A) @ bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_is__singleton__the__elem)). 41.95/15.98 thf(932,plain,(((is_sin581274182chanID) = (^ [A:set_Secrecy_chanID]: (A = (insert751661162chanID @ (the_el2054381829chanID @ A) @ bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[185])). 41.95/15.98 thf(5,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((ord_le996703545specID @ C @ B) => (ord_le996703545specID @ (insert1671894227specID @ A @ C) @ B)) <= (member740727610specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_insert__subsetI)). 41.95/15.98 thf(345,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((ord_le996703545specID @ C @ B) => (ord_le996703545specID @ (insert1671894227specID @ A @ C) @ B)) | ~ (member740727610specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 41.95/15.98 thf(63,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((member740727610specID @ A @ C) <= (~ (member740727610specID @ A @ B))) <= (member740727610specID @ A @ (sup_su1712599557specID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_259_UnE)). 41.95/15.98 thf(552,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ C) | (member740727610specID @ A @ B) | ~ (member740727610specID @ A @ (sup_su1712599557specID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])). 41.95/15.98 thf(140,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_321_sup_Ocobounded2)). 41.95/15.98 thf(799,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[140])). 41.95/15.98 thf(116,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((eout @ A @ C) <= (eoutM @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_eoutM__eout)). 41.95/15.98 thf(726,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((eout @ A @ C) | ~ (eoutM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[116])). 41.95/15.98 thf(156,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((insert751661162chanID @ A @ bot_bo443197316chanID) = (sup_su370684444chanID @ B @ C)) = (((C = (insert751661162chanID @ A @ bot_bo443197316chanID)) & (B = bot_bo443197316chanID)) | ((C = bot_bo443197316chanID) & (B = (insert751661162chanID @ A @ bot_bo443197316chanID))) | ((B = (insert751661162chanID @ A @ bot_bo443197316chanID)) & (C = (insert751661162chanID @ A @ bot_bo443197316chanID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_singleton__Un__iff)). 41.95/15.98 thf(848,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((insert751661162chanID @ A @ bot_bo443197316chanID) = (sup_su370684444chanID @ B @ C)) = (((C = (insert751661162chanID @ A @ bot_bo443197316chanID)) & (B = bot_bo443197316chanID)) | ((C = bot_bo443197316chanID) & (B = (insert751661162chanID @ A @ bot_bo443197316chanID))) | ((B = (insert751661162chanID @ A @ bot_bo443197316chanID)) & (C = (insert751661162chanID @ A @ bot_bo443197316chanID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[156])). 41.95/15.98 thf(108,axiom,((! [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((ine_ex1303305700Single @ A @ B @ C) => (ine_exprChannelSet @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_ine__exprChannelSingle__Set)). 41.95/15.98 thf(700,plain,((! [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((ine_ex1303305700Single @ A @ B @ C) => (ine_exprChannelSet @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[108])). 41.95/15.98 thf(196,axiom,((inStream = (^ [A:secrecy_specID]: (= @ set_Secrecy_chanID @ (ins @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_inStream__def)). 41.95/15.98 thf(959,plain,(((inStream) = (^ [A:secrecy_specID]: (= @ set_Secrecy_chanID @ (ins @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[196])). 41.95/15.98 thf(135,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => (~ (ine @ D @ B)))) <= (~ (ine @ C @ B))) <= (~ (ine @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_TBtheorem3a)). 41.95/15.98 thf(780,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => (~ (ine @ D @ B)))) | (ine @ C @ B) | (ine @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[135])). 41.95/15.98 thf(38,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((member740727610specID @ C @ A) => (member740727610specID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_in__mono)). 41.95/15.98 thf(455,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((ord_le996703545specID @ A @ B) => ((member740727610specID @ C @ A) => (member740727610specID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])). 41.95/15.98 thf(216,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((sup_su370684444chanID @ B @ A) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_sup_Oabsorb1)). 41.95/15.98 thf(1015,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((sup_su370684444chanID @ B @ A) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[216])). 41.95/15.98 thf(328,axiom,((! [A:(secrecy_chanID > (secrecy_chanID > $o)),B:set_Secrecy_chanID,C:secrecy_chanID,D:secrecy_chanID]: (((((C != D) => (A @ C @ D)) <= (member1967978193chanID @ D @ B)) <= (member1967978193chanID @ C @ B)) <= (pairwi1741995279chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_pairwiseD)). 41.95/15.98 thf(1435,plain,((! [A:(secrecy_chanID > (secrecy_chanID > $o)),B:set_Secrecy_chanID,C:secrecy_chanID,D:secrecy_chanID]: (((~ (C = D)) => (A @ C @ D)) | ~ (member1967978193chanID @ D @ B) | ~ (member1967978193chanID @ C @ B) | ~ (pairwi1741995279chanID @ (A) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[328])). 41.95/15.98 thf(278,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (insert751661162chanID @ A @ B) @ C) = ((member1967978193chanID @ A @ C) & (ord_le1802272080chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_insert__subset)). 41.95/15.98 thf(1250,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (insert751661162chanID @ A @ B) @ C) = ((member1967978193chanID @ A @ C) & (ord_le1802272080chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[278])). 41.95/15.98 thf(157,axiom,((! [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((ine_exprChannelSet @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID) @ C) => (ine_ex1303305700Single @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_ine__exprChannelSet__Single)). 41.95/15.98 thf(851,plain,((! [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((ine_exprChannelSet @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID) @ C) => (ine_ex1303305700Single @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[157])). 41.95/15.98 thf(32,axiom,((! [A:(secrecy_specID > (secrecy_specID > $o)),B:secrecy_specID,C:set_Secrecy_specID]: ((pairwi514744696specID @ A @ (insert1671894227specID @ B @ C)) = (! [D:secrecy_specID]: (((D != B) & (member740727610specID @ D @ C)) => ((A @ D @ B) & (A @ B @ D))) & (pairwi514744696specID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_pairwise__insert)). 41.95/15.98 thf(438,plain,((! [A:(secrecy_specID > (secrecy_specID > $o)),B:secrecy_specID,C:set_Secrecy_specID]: ((pairwi514744696specID @ (A) @ (insert1671894227specID @ B @ C)) = (! [D:secrecy_specID]: ((~ (D = B) & (member740727610specID @ D @ C)) => ((A @ D @ B) & (A @ B @ D))) & (pairwi514744696specID @ (A) @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 41.95/15.98 thf(92,axiom,((bot_bo1012329985anID_o = (^ [A:secrecy_chanID]: (bot_bot_o)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_bot__apply)). 41.95/15.98 thf(653,plain,(((bot_bo1012329985anID_o) = (^ [A:secrecy_chanID]: (bot_bot_o)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[92])). 41.95/15.98 thf(94,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le1802272080chanID @ B @ C) => (ord_le1802272080chanID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_order_Otrans)). 41.95/15.98 thf(658,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le1802272080chanID @ B @ C) => (ord_le1802272080chanID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[94])). 41.95/15.98 thf(179,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le1802272080chanID @ A @ C) <= (B = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_ord__le__eq__trans)). 41.95/15.98 thf(912,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le1802272080chanID @ A @ C) | ~ (B = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[179])). 41.95/15.98 thf(103,axiom,((! [A:set_Secrecy_specID]: ((~ (! [B:secrecy_specID]: (A != (insert1671894227specID @ B @ bot_bo1785112429specID)))) <= (is_sin1501507247specID @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_is__singletonE)). 41.95/15.98 thf(685,plain,((! [A:set_Secrecy_specID]: (~ (! [B:secrecy_specID]: ~ (A = (insert1671894227specID @ B @ bot_bo1785112429specID))) | ~ (is_sin1501507247specID @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[103])). 41.95/15.98 thf(106,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:set_Secrecy_chanID]: ((ineM @ A @ (sup_su370684444chanID @ B @ D) @ C) <= (ineM @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_258_ineM__Un1)). 41.95/15.98 thf(695,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:set_Secrecy_chanID]: ((ineM @ A @ (sup_su370684444chanID @ B @ D) @ C) | ~ (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[106])). 41.95/15.98 thf(276,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (sup_su370684444chanID @ B @ C)) = ((member1967978193chanID @ A @ B) | (member1967978193chanID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_Un__iff)). 41.95/15.98 thf(1245,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (sup_su370684444chanID @ B @ C)) = ((member1967978193chanID @ A @ B) | (member1967978193chanID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[276])). 41.95/15.98 thf(115,axiom,((! [A:set_Secrecy_chanID,B:(set_Secrecy_chanID > set_Secrecy_chanID),C:set_Secrecy_chanID,D:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (B @ C)) => (((! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (B @ E) @ (B @ F)) <= (ord_le1802272080chanID @ E @ F))) => (ord_le1802272080chanID @ A @ (B @ D))) <= (ord_le1802272080chanID @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_order__subst1)). 41.95/15.98 thf(722,plain,((! [A:set_Secrecy_chanID,B:(set_Secrecy_chanID > set_Secrecy_chanID),C:set_Secrecy_chanID,D:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (B @ C)) => (((! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (B @ E) @ (B @ F)) | ~ (ord_le1802272080chanID @ E @ F))) => (ord_le1802272080chanID @ A @ (B @ D))) | ~ (ord_le1802272080chanID @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[115])). 41.95/15.98 thf(221,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ B) <= (ord_le1802272080chanID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_sup_OboundedI)). 41.95/15.98 thf(1034,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ B) | ~ (ord_le1802272080chanID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[221])). 41.95/15.98 thf(28,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_248_Un__empty__right)). 41.95/15.98 thf(426,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 41.95/15.98 thf(335,axiom,((! [A:secrecy_chanID,B:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) => (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_singletonD)). 41.95/15.98 thf(1467,plain,((! [A:secrecy_chanID,B:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) => (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[335])). 41.95/15.98 thf(138,axiom,((ord_le1802272080chanID = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ B) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_323_sup_Oabsorb__iff2)). 41.95/15.98 thf(795,plain,(((ord_le1802272080chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ B) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[138])). 41.95/15.98 thf(183,axiom,((! [A:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ bot_bo443197316chanID) = (A = bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_bot_Oextremum__unique)). 41.95/15.98 thf(927,plain,((! [A:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ bot_bo443197316chanID) = (A = bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[183])). 41.95/15.98 thf(288,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ B @ (insert751661162chanID @ A @ C)) = (ord_le1802272080chanID @ B @ C)) <= (~ (member1967978193chanID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_subset__insert)). 41.95/15.98 thf(1277,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ B @ (insert751661162chanID @ A @ C)) = (ord_le1802272080chanID @ B @ C)) | (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[288])). 41.95/15.98 thf(90,axiom,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((ord_le1802272080chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) => ((A = (insert751661162chanID @ B @ bot_bo443197316chanID)) | (A = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_subset__singletonD)). 41.95/15.98 thf(648,plain,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((ord_le1802272080chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) => ((A = (insert751661162chanID @ B @ bot_bo443197316chanID)) | (A = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[90])). 41.95/15.98 thf(143,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((insert1671894227specID @ A @ bot_bo1785112429specID) = (sup_su1712599557specID @ B @ C)) = (((B = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (C = bot_bo1785112429specID)) | ((C = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ A @ bot_bo1785112429specID))) | ((C = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_singleton__Un__iff)). 41.95/15.98 thf(812,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((insert1671894227specID @ A @ bot_bo1785112429specID) = (sup_su1712599557specID @ B @ C)) = (((B = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (C = bot_bo1785112429specID)) | ((C = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ A @ bot_bo1785112429specID))) | ((C = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[143])). 41.95/15.98 thf(125,axiom,((! [A:secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: ((insert751661162chanID @ A @ (insert751661162chanID @ B @ C)) = (insert751661162chanID @ B @ (insert751661162chanID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_insert__commute)). 41.95/15.98 thf(749,plain,((! [A:secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: ((insert751661162chanID @ A @ (insert751661162chanID @ B @ C)) = (insert751661162chanID @ B @ (insert751661162chanID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[125])). 41.95/15.98 thf(55,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:(set_Secrecy_specID > set_Secrecy_chanID),D:set_Secrecy_chanID]: ((ord_le996703545specID @ A @ B) => (((C @ B) = D) => ((! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ E @ F) => (ord_le1802272080chanID @ (C @ E) @ (C @ F)))) => (ord_le1802272080chanID @ (C @ A) @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_ord__le__eq__subst)). 41.95/15.98 thf(516,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:(set_Secrecy_specID > set_Secrecy_chanID),D:set_Secrecy_chanID]: ((ord_le996703545specID @ A @ B) => (((C @ B) = D) => ((! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ E @ F) => (ord_le1802272080chanID @ (C @ E) @ (C @ F)))) => (ord_le1802272080chanID @ (C @ A) @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])). 41.95/15.98 thf(4,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ (uminus238526242specID @ B)) = (~ (member740727610specID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_Compl__iff)). 41.95/15.98 thf(342,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ (uminus238526242specID @ B)) = (~ (member740727610specID @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 41.95/15.98 thf(217,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (inf_in1474033538chanID @ B @ C)) = ((ord_le1802272080chanID @ A @ C) & (ord_le1802272080chanID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_338_inf_Obounded__iff)). 41.95/15.98 thf(1018,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (inf_in1474033538chanID @ B @ C)) = ((ord_le1802272080chanID @ A @ C) & (ord_le1802272080chanID @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[217])). 41.95/15.98 thf(39,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((bot_bo1785112429specID = (sup_su1712599557specID @ A @ B)) = ((A = bot_bo1785112429specID) & (B = bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_292_bot__eq__sup__iff)). 41.95/15.98 thf(458,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((bot_bo1785112429specID = (sup_su1712599557specID @ A @ B)) = ((A = bot_bo1785112429specID) & (B = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 41.95/15.98 thf(226,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (sup_su370684444chanID @ C @ B)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_le__supI2)). 41.95/15.98 thf(1049,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (sup_su370684444chanID @ C @ B)) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[226])). 41.95/15.98 thf(65,axiom,((! [A:set_Secrecy_chanID,B:(set_Secrecy_specID > set_Secrecy_chanID),C:set_Secrecy_specID,D:set_Secrecy_specID]: ((((ord_le1802272080chanID @ A @ (B @ D)) <= (! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le1802272080chanID @ (B @ E) @ (B @ F)) <= (ord_le996703545specID @ E @ F)))) <= (ord_le996703545specID @ C @ D)) <= (A = (B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_ord__eq__le__subst)). 41.95/15.98 thf(557,plain,((! [A:set_Secrecy_chanID,B:(set_Secrecy_specID > set_Secrecy_chanID),C:set_Secrecy_specID,D:set_Secrecy_specID]: ((ord_le1802272080chanID @ A @ (B @ D)) | ~ (! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le1802272080chanID @ (B @ E) @ (B @ F)) | ~ (ord_le996703545specID @ E @ F))) | ~ (ord_le996703545specID @ C @ D) | ~ (A = (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])). 41.95/15.98 thf(87,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ B @ C) => (ord_le1802272080chanID @ A @ C)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_order__trans)). 41.95/15.98 thf(640,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ B @ C) => (ord_le1802272080chanID @ A @ C)) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[87])). 41.95/15.98 thf(110,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((~ ((~ (ord_le1802272080chanID @ B @ C)) <= (ord_le1802272080chanID @ A @ C))) <= (ord_le1802272080chanID @ (sup_su370684444chanID @ A @ B) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_le__supE)). 41.95/15.98 thf(705,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (~ (~ (ord_le1802272080chanID @ B @ C) | ~ (ord_le1802272080chanID @ A @ C)) | ~ (ord_le1802272080chanID @ (sup_su370684444chanID @ A @ B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[110])). 41.95/15.98 thf(320,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (sup_su370684444chanID @ C @ B)) <= (member1967978193chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_UnI2)). 41.95/15.98 thf(1400,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (sup_su370684444chanID @ C @ B)) | ~ (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[320])). 41.95/15.98 thf(26,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID,D:set_Secrecy_specID]: (((((insert1671894227specID @ A @ B) = (insert1671894227specID @ C @ D)) = (((A = C) => (B = D)) & ((A != C) => (? [E:set_Secrecy_specID]: ((D = (insert1671894227specID @ A @ E)) & ~ (member740727610specID @ A @ E) & ~ (member740727610specID @ C @ E) & (B = (insert1671894227specID @ C @ E))))))) <= (~ (member740727610specID @ C @ D))) <= (~ (member740727610specID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_insert__eq__iff)). 41.95/15.98 thf(414,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID,D:set_Secrecy_specID]: ((((insert1671894227specID @ A @ B) = (insert1671894227specID @ C @ D)) = (((A = C) => (B = D)) & ((~ (A = C)) => (? [E:set_Secrecy_specID]: ((D = (insert1671894227specID @ A @ E)) & ~ (member740727610specID @ A @ E) & ~ (member740727610specID @ C @ E) & (B = (insert1671894227specID @ C @ E))))))) | (member740727610specID @ C @ D) | (member740727610specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 41.95/15.98 thf(194,axiom,((ord_le1802272080chanID = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ B) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_250_subset__Un__eq)). 41.95/15.98 thf(954,plain,(((ord_le1802272080chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ B) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[194])). 41.95/15.98 thf(284,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((((member1967978193chanID @ D @ (ins @ B)) | (member1967978193chanID @ D @ (ins @ C))) <= (member1967978193chanID @ D @ (ins @ A))) <= (correctCompositionIn @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_correctCompositionIn__L2)). 41.95/15.98 thf(1267,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: ((member1967978193chanID @ D @ (ins @ B)) | (member1967978193chanID @ D @ (ins @ C)) | ~ (member1967978193chanID @ D @ (ins @ A)) | ~ (correctCompositionIn @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[284])). 41.95/15.98 thf(243,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((ine @ D @ B) <= ((loc @ D) = bot_bo443197316chanID)) <= (correctCompositionIn @ D))) <= ((ine @ C @ B) | (ine @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_TBtheorem4a__empty)). 41.95/15.98 thf(1098,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((ine @ D @ B) | ~ ((loc @ D) = bot_bo443197316chanID) | ~ (correctCompositionIn @ D))) | ~ ((ine @ C @ B) | (ine @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[243])). 41.95/15.98 thf(208,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ (sup_su370684444chanID @ B @ C)) = (sup_su370684444chanID @ B @ (sup_su370684444chanID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_Un__left__commute)). 41.95/15.98 thf(993,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ (sup_su370684444chanID @ B @ C)) = (sup_su370684444chanID @ B @ (sup_su370684444chanID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[208])). 41.95/15.98 thf(24,axiom,((! [A:set_Secrecy_specID,B:secrecy_specID]: (ord_le996703545specID @ A @ (insert1671894227specID @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_subset__insertI)). 41.95/15.98 thf(409,plain,((! [A:set_Secrecy_specID,B:secrecy_specID]: (ord_le996703545specID @ A @ (insert1671894227specID @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 41.95/15.98 thf(272,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:set_Secrecy_chanID]: ((((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => ((((~ (ineM @ D @ B @ C)) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ D)) <= (member1967978193chanID @ G @ F)))) <= (ine_exprChannelSet @ E @ F @ C)) <= (correctCompositionIn @ D))) <= (~ (ineM @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_TBtheorem4b__notP2)). 41.95/15.98 thf(1230,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:set_Secrecy_chanID]: ((((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => (~ (ineM @ D @ B @ C) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ D)) | ~ (member1967978193chanID @ G @ F))) | ~ (ine_exprChannelSet @ E @ F @ C) | ~ (correctCompositionIn @ D))) | (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[272])). 41.95/15.98 thf(99,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((sup_su1712599557specID @ A @ B) = (insert1671894227specID @ C @ bot_bo1785112429specID)) = (((A = (insert1671894227specID @ C @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((B = bot_bo1785112429specID) & (A = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((A = bot_bo1785112429specID) & (B = (insert1671894227specID @ C @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_Un__singleton__iff)). 41.95/15.98 thf(673,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((sup_su1712599557specID @ A @ B) = (insert1671894227specID @ C @ bot_bo1785112429specID)) = (((A = (insert1671894227specID @ C @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((B = bot_bo1785112429specID) & (A = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((A = bot_bo1785112429specID) & (B = (insert1671894227specID @ C @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[99])). 41.95/15.98 thf(262,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => (((((~ (eout @ D @ B)) <= (? [E:secrecy_chanID]: ((out_ex985543062Single @ A @ E @ B) & (member1967978193chanID @ E @ (loc @ D))))) <= (correc990227761ionOut @ D)) <= ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID)))) <= (~ (eout @ C @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_TBtheorem5a__notP1)). 41.95/15.98 thf(1186,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => (~ (eout @ D @ B) | ~ (? [E:secrecy_chanID]: ((out_ex985543062Single @ A @ E @ B) & (member1967978193chanID @ E @ (loc @ D)))) | ~ (correc990227761ionOut @ D) | ~ ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) | (eout @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[262])). 41.95/15.98 thf(33,axiom,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_empty__iff)). 41.95/15.98 thf(441,plain,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 41.95/15.98 thf(12,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ C)) => ((A != B) => (member740727610specID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_insertE)). 41.95/15.98 thf(370,plain,((! [A:secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ C)) => ((~ (A = B)) => (member740727610specID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 41.95/15.98 thf(153,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((bot_bo443197316chanID = (sup_su370684444chanID @ A @ B)) = ((A = bot_bo443197316chanID) & (B = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_sup__bot_Oneutr__eq__iff)). 41.95/15.98 thf(840,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((bot_bo443197316chanID = (sup_su370684444chanID @ A @ B)) = ((A = bot_bo443197316chanID) & (B = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[153])). 41.95/15.98 thf(41,axiom,((! [A:set_Secrecy_chanID,B:(set_Secrecy_specID > set_Secrecy_chanID),C:set_Secrecy_specID,D:set_Secrecy_specID]: ((((ord_le1802272080chanID @ A @ (B @ D)) <= (! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ E @ F) => (ord_le1802272080chanID @ (B @ E) @ (B @ F))))) <= (ord_le996703545specID @ C @ D)) <= (ord_le1802272080chanID @ A @ (B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_order__subst1)). 41.95/15.98 thf(463,plain,((! [A:set_Secrecy_chanID,B:(set_Secrecy_specID > set_Secrecy_chanID),C:set_Secrecy_specID,D:set_Secrecy_specID]: ((ord_le1802272080chanID @ A @ (B @ D)) | ~ (! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ E @ F) => (ord_le1802272080chanID @ (B @ E) @ (B @ F)))) | ~ (ord_le996703545specID @ C @ D) | ~ (ord_le1802272080chanID @ A @ (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 41.95/15.98 thf(43,axiom,((! [A:(secrecy_specID > (secrecy_specID > $o)),B:set_Secrecy_specID,C:secrecy_specID,D:secrecy_specID]: (((((A @ C @ D) <= (C != D)) <= (member740727610specID @ D @ B)) <= (member740727610specID @ C @ B)) <= (pairwi514744696specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_pairwiseD)). 41.95/15.98 thf(470,plain,((! [A:(secrecy_specID > (secrecy_specID > $o)),B:set_Secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((A @ C @ D) | (C = D) | ~ (member740727610specID @ D @ B) | ~ (member740727610specID @ C @ B) | ~ (pairwi514744696specID @ (A) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 41.95/15.98 thf(88,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ C @ B) => (ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ B)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_301_le__supI)). 41.95/15.98 thf(643,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((ord_le1802272080chanID @ C @ B) => (ord_le1802272080chanID @ (sup_su370684444chanID @ A @ C) @ B)) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[88])). 41.95/15.98 thf(271,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correc990227761ionOut @ E) => ((? [F:secrecy_chanID]: (((member1967978193chanID @ F @ (out @ A)) | (member1967978193chanID @ F @ (out @ D))) & ~ (member1967978193chanID @ F @ (loc @ E)) & (exprChannel @ F @ C) & (member1967978193chanID @ F @ B))) => (eoutM @ E @ B @ C)))) <= ((eoutM @ A @ B @ C) | (eoutM @ D @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_228_TBtheorem5b__PQ)). 41.95/15.98 thf(1220,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correc990227761ionOut @ E) => ((? [F:secrecy_chanID]: (((member1967978193chanID @ F @ (out @ A)) | (member1967978193chanID @ F @ (out @ D))) & ~ (member1967978193chanID @ F @ (loc @ E)) & (exprChannel @ F @ C) & (member1967978193chanID @ F @ B))) => (eoutM @ E @ B @ C)))) | ~ ((eoutM @ A @ B @ C) | (eoutM @ D @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[271])). 41.95/15.98 thf(219,axiom,((! [A:(set_Secrecy_chanID > (set_Secrecy_chanID > set_Secrecy_chanID)),B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((! [D:set_Secrecy_chanID,E:set_Secrecy_chanID]: (ord_le1802272080chanID @ E @ (A @ D @ E))) => ((! [D:set_Secrecy_chanID,E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ D) => ((ord_le1802272080chanID @ F @ D) => (ord_le1802272080chanID @ (A @ E @ F) @ D)))) => ((sup_su370684444chanID @ B @ C) = (A @ B @ C)))) <= (! [D:set_Secrecy_chanID,E:set_Secrecy_chanID]: (ord_le1802272080chanID @ D @ (A @ D @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_sup__unique)). 41.95/15.98 thf(1023,plain,((! [A:(set_Secrecy_chanID > (set_Secrecy_chanID > set_Secrecy_chanID)),B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((! [D:set_Secrecy_chanID,E:set_Secrecy_chanID]: (ord_le1802272080chanID @ E @ (A @ D @ E))) => ((! [D:set_Secrecy_chanID,E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ D) => ((ord_le1802272080chanID @ F @ D) => (ord_le1802272080chanID @ (A @ E @ F) @ D)))) => ((sup_su370684444chanID @ B @ C) = (A @ B @ C)))) | ~ (! [D:set_Secrecy_chanID,E:set_Secrecy_chanID]: (ord_le1802272080chanID @ D @ (A @ D @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[219])). 41.95/15.98 thf(80,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((bot_bo1785112429specID = (sup_su1712599557specID @ A @ B)) = ((A = bot_bo1785112429specID) & (B = bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_sup__bot_Oneutr__eq__iff)). 41.95/15.98 thf(613,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((bot_bo1785112429specID = (sup_su1712599557specID @ A @ B)) = ((A = bot_bo1785112429specID) & (B = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[80])). 41.95/15.98 thf(290,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (inf_in1474033538chanID @ B @ C)) = ((member1967978193chanID @ A @ C) & (member1967978193chanID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_332_Int__iff)). 41.95/15.98 thf(1284,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (inf_in1474033538chanID @ B @ C)) = ((member1967978193chanID @ A @ C) & (member1967978193chanID @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[290])). 41.95/15.98 thf(227,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((bot_bo443197316chanID = (sup_su370684444chanID @ A @ B)) = ((B = bot_bo443197316chanID) & (A = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_bot__eq__sup__iff)). 41.95/15.98 thf(1052,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((bot_bo443197316chanID = (sup_su370684444chanID @ A @ B)) = ((B = bot_bo443197316chanID) & (A = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[227])). 41.95/15.98 thf(162,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => (ord_le1802272080chanID @ A @ (insert751661162chanID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_subset__insertI2)). 41.95/15.98 thf(864,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => (ord_le1802272080chanID @ A @ (insert751661162chanID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[162])). 41.95/15.98 thf(203,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ C)) <= (ord_le1802272080chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_sup_OcoboundedI1)). 41.95/15.98 thf(978,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ C)) | ~ (ord_le1802272080chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[203])). 41.95/15.98 thf(160,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_sup__ge2)). 41.95/15.98 thf(859,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[160])). 41.95/15.98 thf(327,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID,G:set_Secrecy_chanID]: (((((out_exprChannelSet @ C @ F @ E) => ((G = (sup_su370684444chanID @ D @ F)) => ((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) <= (member1967978193chanID @ H @ D))) => ((~ (eoutM @ A @ G @ E)) <= (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) <= (member1967978193chanID @ H @ F))))))) <= (out_exprChannelSet @ B @ D @ E)) <= (correc990227761ionOut @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_TBtheorem5b__notPQ)). 41.95/15.98 thf(1421,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID,G:set_Secrecy_chanID]: (((out_exprChannelSet @ C @ F @ E) => ((G = (sup_su370684444chanID @ D @ F)) => ((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) | ~ (member1967978193chanID @ H @ D))) => (~ (eoutM @ A @ G @ E) | ~ (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) | ~ (member1967978193chanID @ H @ F))))))) | ~ (out_exprChannelSet @ B @ D @ E) | ~ (correc990227761ionOut @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[327])). 41.95/15.98 thf(36,axiom,(((= @ set_Secrecy_specID) = (^ [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ B @ A) & (ord_le996703545specID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_order__class_Oorder_Oeq__iff)). 41.95/15.98 thf(450,plain,(((= @ set_Secrecy_specID) = (^ [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ B @ A) & (ord_le996703545specID @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 41.95/15.98 thf(334,axiom,((! [A:set_Secrecy_chanID]: (((! [B:secrecy_chanID,C:secrecy_chanID]: ((member1967978193chanID @ B @ A) => ((B = C) <= (member1967978193chanID @ C @ A)))) => (is_sin581274182chanID @ A)) <= (A != bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_is__singletonI_H)). 41.95/15.98 thf(1459,plain,((! [A:set_Secrecy_chanID]: (((! [B:secrecy_chanID,C:secrecy_chanID]: ((member1967978193chanID @ B @ A) => ((B = C) | ~ (member1967978193chanID @ C @ A)))) => (is_sin581274182chanID @ A)) | (A = bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[334])). 41.95/15.98 thf(59,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (~ (! [C:set_Secrecy_specID]: ((member740727610specID @ A @ C) <= (B = (insert1671894227specID @ A @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_Set_Oset__insert)). 41.95/15.98 thf(539,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (~ (! [C:set_Secrecy_specID]: ((member740727610specID @ A @ C) | ~ (B = (insert1671894227specID @ A @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])). 41.95/15.98 thf(176,axiom,((! [A:set_Secrecy_specID,B:secrecy_specID]: ((ord_le996703545specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) => ((A = (insert1671894227specID @ B @ bot_bo1785112429specID)) | (A = bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_subset__singletonD)). 41.95/15.98 thf(903,plain,((! [A:set_Secrecy_specID,B:secrecy_specID]: ((ord_le996703545specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) => ((A = (insert1671894227specID @ B @ bot_bo1785112429specID)) | (A = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[176])). 41.95/15.98 thf(324,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((~ (member1967978193chanID @ A @ B)) => (member1967978193chanID @ A @ C)) <= (member1967978193chanID @ A @ (sup_su370684444chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_260_UnE)). 41.95/15.98 thf(1412,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((~ (member1967978193chanID @ A @ B)) => (member1967978193chanID @ A @ C)) | ~ (member1967978193chanID @ A @ (sup_su370684444chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[324])). 41.95/15.98 thf(270,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => (((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => (((eout @ C @ B) <= (? [E:secrecy_chanID]: ((member1967978193chanID @ E @ (out @ A)) & ~ (member1967978193chanID @ E @ (loc @ C)) & (exprChannel @ E @ B)))) <= (correc990227761ionOut @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_TBtheorem45a__P)). 41.95/15.98 thf(1216,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => (((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((eout @ C @ B) | ~ (? [E:secrecy_chanID]: ((member1967978193chanID @ E @ (out @ A)) & ~ (member1967978193chanID @ E @ (loc @ C)) & (exprChannel @ E @ B))) | ~ (correc990227761ionOut @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[270])). 41.95/15.98 thf(247,axiom,((correctInOutLoc = (^ [A:secrecy_specID]: (((inf_in1474033538chanID @ (ins @ A) @ (out @ A)) = bot_bo443197316chanID) & ((inf_in1474033538chanID @ (loc @ A) @ (out @ A)) = bot_bo443197316chanID) & ((inf_in1474033538chanID @ (ins @ A) @ (loc @ A)) = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_correctInOutLoc__def)). 41.95/15.98 thf(1126,plain,(((correctInOutLoc) = (^ [A:secrecy_specID]: (((inf_in1474033538chanID @ (ins @ A) @ (out @ A)) = bot_bo443197316chanID) & ((inf_in1474033538chanID @ (loc @ A) @ (out @ A)) = bot_bo443197316chanID) & ((inf_in1474033538chanID @ (ins @ A) @ (loc @ A)) = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[247])). 41.95/15.98 thf(214,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((inf_in1474033538chanID @ (insert751661162chanID @ A @ B) @ (insert751661162chanID @ A @ C)) = (insert751661162chanID @ A @ (inf_in1474033538chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_348_insert__inter__insert)). 41.95/15.98 thf(1010,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((inf_in1474033538chanID @ (insert751661162chanID @ A @ B) @ (insert751661162chanID @ A @ C)) = (insert751661162chanID @ A @ (inf_in1474033538chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[214])). 41.95/15.98 thf(11,axiom,(((= @ set_Secrecy_specID) = (^ [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ B @ A) & (ord_le996703545specID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_eq__iff)). 41.95/15.98 thf(368,plain,(((= @ set_Secrecy_specID) = (^ [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((ord_le996703545specID @ B @ A) & (ord_le996703545specID @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 41.95/15.98 thf(255,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_insertI1)). 41.95/15.98 thf(1157,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[255])). 41.95/15.98 thf(301,axiom,((ord_le1802272080chanID = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ! [C:secrecy_chanID]: ((member1967978193chanID @ C @ A) => (member1967978193chanID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_subset__iff)). 41.95/15.98 thf(1321,plain,(((ord_le1802272080chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ! [C:secrecy_chanID]: ((member1967978193chanID @ C @ A) => (member1967978193chanID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[301])). 41.95/15.98 thf(56,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((member740727610specID @ C @ B) <= (member740727610specID @ C @ A)) <= (ord_le996703545specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_subsetD)). 41.95/15.98 thf(524,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((member740727610specID @ C @ B) | ~ (member740727610specID @ C @ A) | ~ (ord_le996703545specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 41.95/15.98 thf(72,axiom,((! [A:set_Secrecy_specID]: (ord_le996703545specID @ bot_bo1785112429specID @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_bot_Oextremum)). 41.95/15.98 thf(581,plain,((! [A:set_Secrecy_specID]: (ord_le996703545specID @ bot_bo1785112429specID @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[72])). 41.95/15.98 thf(197,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_247_Un__empty__left)). 41.95/15.98 thf(961,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[197])). 41.95/15.98 thf(190,axiom,((! [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((out_exprChannelSet @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID) @ C) <= (out_ex985543062Single @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_out__exprChannelSingle__Set)). 41.95/15.98 thf(946,plain,((! [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((out_exprChannelSet @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID) @ C) | ~ (out_ex985543062Single @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[190])). 41.95/15.98 thf(7,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((ord_le996703545specID @ A @ C) <= (ord_le996703545specID @ B @ C)) <= (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_ord__eq__le__trans)). 41.95/15.98 thf(351,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((ord_le996703545specID @ A @ C) | ~ (ord_le996703545specID @ B @ C) | ~ (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 41.95/15.98 thf(19,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ C)) = ((A = B) | (member740727610specID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_insert__iff)). 41.95/15.98 thf(390,plain,((! [A:secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ C)) = ((A = B) | (member740727610specID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 41.95/15.98 thf(23,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(set_Secrecy_chanID > set_Secrecy_specID),D:set_Secrecy_specID]: ((ord_le1802272080chanID @ A @ B) => (((ord_le996703545specID @ (C @ A) @ D) <= (! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le996703545specID @ (C @ E) @ (C @ F))))) <= ((C @ B) = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_ord__le__eq__subst)). 41.95/15.98 thf(401,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:(set_Secrecy_chanID > set_Secrecy_specID),D:set_Secrecy_specID]: ((ord_le1802272080chanID @ A @ B) => ((ord_le996703545specID @ (C @ A) @ D) | ~ (! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le996703545specID @ (C @ E) @ (C @ F)))) | ~ ((C @ B) = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 41.95/15.98 thf(74,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: (((sup_su1712599557specID @ A @ B) = bot_bo1785112429specID) = ((A = bot_bo1785112429specID) & (B = bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_sup__bot_Oeq__neutr__iff)). 41.95/15.98 thf(588,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: (((sup_su1712599557specID @ A @ B) = bot_bo1785112429specID) = ((A = bot_bo1785112429specID) & (B = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[74])). 41.95/15.98 thf(279,axiom,((correctCompositionIn @ pq)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I2_J)). 41.95/15.98 thf(1253,plain,((correctCompositionIn @ pq)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[279])). 41.95/15.98 thf(118,axiom,((! [A:(secrecy_chanID > $o),B:(secrecy_chanID > $o)]: ((! [C:secrecy_chanID]: ((A @ C) = (B @ C))) => ((collec625564175chanID @ A) = (collec625564175chanID @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_Collect__cong)). 41.95/15.98 thf(731,plain,((! [A:(secrecy_chanID > $o),B:(secrecy_chanID > $o)]: ((! [C:secrecy_chanID]: ((A @ C) = (B @ C))) => ((collec625564175chanID @ (A)) = (collec625564175chanID @ (B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[118])). 41.95/15.98 thf(27,axiom,((! [A:set_Secrecy_specID,B:(set_Secrecy_specID > set_Secrecy_specID),C:set_Secrecy_specID,D:set_Secrecy_specID]: ((A = (B @ C)) => ((ord_le996703545specID @ C @ D) => ((! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ E @ F) => (ord_le996703545specID @ (B @ E) @ (B @ F)))) => (ord_le996703545specID @ A @ (B @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_ord__eq__le__subst)). 41.95/15.98 thf(418,plain,((! [A:set_Secrecy_specID,B:(set_Secrecy_specID > set_Secrecy_specID),C:set_Secrecy_specID,D:set_Secrecy_specID]: ((A = (B @ C)) => ((ord_le996703545specID @ C @ D) => ((! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ E @ F) => (ord_le996703545specID @ (B @ E) @ (B @ F)))) => (ord_le996703545specID @ A @ (B @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 41.95/15.98 thf(268,axiom,((eout = (^ [A:secrecy_specID,B:secrecy_Expression]: ? [C:secrecy_chanID]: ((member1967978193chanID @ C @ (out @ A)) & (exprChannel @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_eout__def)). 41.95/15.98 thf(1212,plain,(((eout) = (^ [A:secrecy_specID,B:secrecy_Expression]: ? [C:secrecy_chanID]: ((member1967978193chanID @ C @ (out @ A)) & (exprChannel @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[268])). 41.95/15.98 thf(16,axiom,((ord_le996703545specID = (^ [A:set_Secrecy_specID,B:set_Secrecy_specID]: ! [C:secrecy_specID]: ((member740727610specID @ C @ A) => (member740727610specID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_subset__eq)). 41.95/15.98 thf(383,plain,(((ord_le996703545specID) = (^ [A:set_Secrecy_specID,B:set_Secrecy_specID]: ! [C:secrecy_specID]: ((member740727610specID @ C @ A) => (member740727610specID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 41.95/15.98 thf(297,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => ((member1967978193chanID @ A @ C) => (member1967978193chanID @ A @ (inf_in1474033538chanID @ B @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_IntI)). 41.95/15.98 thf(1309,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => ((member1967978193chanID @ A @ C) => (member1967978193chanID @ A @ (inf_in1474033538chanID @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[297])). 41.95/15.98 thf(113,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((((eoutM @ E @ B @ C) | (eoutM @ D @ B @ C)) <= (correc990227761ionOut @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ D @ (insert1671894227specID @ E @ bot_bo1785112429specID)))) <= (eoutM @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_TBtheorem2b)). 41.95/15.98 thf(716,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((eoutM @ E @ B @ C) | (eoutM @ D @ B @ C) | ~ (correc990227761ionOut @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ D @ (insert1671894227specID @ E @ bot_bo1785112429specID))) | ~ (eoutM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[113])). 41.95/15.98 thf(97,axiom,((! [A:set_Secrecy_specID,B:secrecy_specID]: ((ord_le996703545specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) = ((A = bot_bo1785112429specID) | (A = (insert1671894227specID @ B @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_subset__singleton__iff)). 41.95/15.98 thf(667,plain,((! [A:set_Secrecy_specID,B:secrecy_specID]: ((ord_le996703545specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) = ((A = bot_bo1785112429specID) | (A = (insert1671894227specID @ B @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[97])). 41.95/15.98 thf(293,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((correc990227761ionOut @ A) => ((member1967978193chanID @ D @ (out @ A)) => ((member1967978193chanID @ D @ (out @ C)) | (member1967978193chanID @ D @ (out @ B))))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_correctCompositionOut__prop1)). 41.95/15.98 thf(1294,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((correc990227761ionOut @ A) => ((member1967978193chanID @ D @ (out @ A)) => ((member1967978193chanID @ D @ (out @ C)) | (member1967978193chanID @ D @ (out @ B))))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[293])). 41.95/15.98 thf(236,axiom,((is_sin581274182chanID = (^ [A:set_Secrecy_chanID]: ? [B:secrecy_chanID]: (A = (insert751661162chanID @ B @ bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_is__singleton__def)). 41.95/15.98 thf(1077,plain,(((is_sin581274182chanID) = (^ [A:set_Secrecy_chanID]: ? [B:secrecy_chanID]: (A = (insert751661162chanID @ B @ bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[236])). 41.95/15.98 thf(45,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (member740727610specID @ A @ (sup_su1712599557specID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_UnI1)). 41.95/15.98 thf(478,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (member740727610specID @ A @ (sup_su1712599557specID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])). 41.95/15.98 thf(62,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (sup_su1712599557specID @ C @ B)) <= (member740727610specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_UnI2)). 41.95/15.98 thf(549,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (sup_su1712599557specID @ C @ B)) | ~ (member740727610specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])). 41.95/15.98 thf(330,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID,E:set_Secrecy_chanID]: ((~ (ine @ A @ B)) => ((((ine_exprChannelSet @ D @ E @ B) => ((~ (ine @ C @ B)) <= (! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ C)) <= (member1967978193chanID @ F @ E))))) <= (correctCompositionIn @ C)) <= ((subcomponents @ C) = (insert1671894227specID @ D @ (insert1671894227specID @ A @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_TBtheorem4a__notP2)). 41.95/15.98 thf(1444,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID,E:set_Secrecy_chanID]: ((~ (ine @ A @ B)) => (((ine_exprChannelSet @ D @ E @ B) => (~ (ine @ C @ B) | ~ (! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ C)) | ~ (member1967978193chanID @ F @ E))))) | ~ (correctCompositionIn @ C) | ~ ((subcomponents @ C) = (insert1671894227specID @ D @ (insert1671894227specID @ A @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[330])). 41.95/15.98 thf(246,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc990227761ionOut @ A) => ((out_exprChannelSet @ B @ D @ E) => ((out_exprChannelSet @ C @ F @ E) => (((~ (eout @ A @ E)) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) <= (member1967978193chanID @ G @ F)))) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) <= (member1967978193chanID @ G @ D)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_TBtheorem5a__notPQ)). 41.95/15.98 thf(1116,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc990227761ionOut @ A) => ((out_exprChannelSet @ B @ D @ E) => ((out_exprChannelSet @ C @ F @ E) => (~ (eout @ A @ E) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) | ~ (member1967978193chanID @ G @ F))) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) | ~ (member1967978193chanID @ G @ D)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[246])). 41.95/15.98 thf(307,axiom,((! [A:set_Secrecy_chanID,B:(secrecy_chanID > (secrecy_chanID > $o))]: ((pairwi1741995279chanID @ B @ A) <= (! [C:secrecy_chanID,D:secrecy_chanID]: ((member1967978193chanID @ C @ A) => ((member1967978193chanID @ D @ A) => ((B @ C @ D) <= (C != D)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_pairwiseI)). 41.95/15.98 thf(1348,plain,((! [A:set_Secrecy_chanID,B:(secrecy_chanID > (secrecy_chanID > $o))]: ((pairwi1741995279chanID @ (B) @ A) | ~ (! [C:secrecy_chanID,D:secrecy_chanID]: ((member1967978193chanID @ C @ A) => ((member1967978193chanID @ D @ A) => ((B @ C @ D) | (C = D)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[307])). 41.95/15.98 thf(126,axiom,((! [A:(secrecy_chanID > $o)]: ((bot_bo443197316chanID = (collec625564175chanID @ A)) = (! [B:secrecy_chanID]: ~ (A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_empty__Collect__eq)). 41.95/15.98 thf(752,plain,((! [A:(secrecy_chanID > $o)]: ((bot_bo443197316chanID = (collec625564175chanID @ (A))) = (! [B:secrecy_chanID]: ~ (A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[126])). 41.95/15.98 thf(35,axiom,((! [A:set_Secrecy_specID]: ((! [B:secrecy_specID]: ~ (member740727610specID @ B @ A)) = (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_all__not__in__conv)). 41.95/15.98 thf(447,plain,((! [A:set_Secrecy_specID]: ((! [B:secrecy_specID]: ~ (member740727610specID @ B @ A)) = (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])). 41.95/15.98 thf(30,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_sup__bot_Oleft__neutral)). 41.95/15.98 thf(432,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 41.95/15.98 thf(145,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: (((insert1671894227specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) = (((B = C) & (A = D)) | ((B = D) & (A = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_doubleton__eq__iff)). 41.95/15.98 thf(818,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: (((insert1671894227specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) = (((B = C) & (A = D)) | ((B = D) & (A = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[145])). 41.95/15.98 thf(313,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => (member1967978193chanID @ A @ (sup_su370684444chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_UnI1)). 41.95/15.98 thf(1380,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => (member1967978193chanID @ A @ (sup_su370684444chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[313])). 41.95/15.98 thf(252,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((inf_in1474033538chanID @ B @ (insert751661162chanID @ A @ C)) = (insert751661162chanID @ A @ (inf_in1474033538chanID @ B @ C))) <= (member1967978193chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_352_Int__insert__right__if1)). 41.95/15.98 thf(1148,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((inf_in1474033538chanID @ B @ (insert751661162chanID @ A @ C)) = (insert751661162chanID @ A @ (inf_in1474033538chanID @ B @ C))) | ~ (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[252])). 41.95/15.98 thf(277,axiom,((locStream = (^ [A:secrecy_specID]: (= @ set_Secrecy_chanID @ (loc @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_locStream__def)). 41.95/15.98 thf(1248,plain,(((locStream) = (^ [A:secrecy_specID]: (= @ set_Secrecy_chanID @ (loc @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[277])). 41.95/15.98 thf(163,axiom,((! [A:set_Secrecy_chanID]: (ord_le1802272080chanID @ bot_bo443197316chanID @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_bot_Oextremum)). 41.95/15.98 thf(867,plain,((! [A:set_Secrecy_chanID]: (ord_le1802272080chanID @ bot_bo443197316chanID @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[163])). 41.95/15.98 thf(13,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((ord_le996703545specID @ A @ (insert1671894227specID @ C @ B)) <= (ord_le996703545specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_subset__insertI2)). 41.95/15.98 thf(373,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((ord_le996703545specID @ A @ (insert1671894227specID @ C @ B)) | ~ (ord_le996703545specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 41.95/15.98 thf(210,axiom,((! [A:secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: (((insert751661162chanID @ A @ bot_bo443197316chanID) = (insert751661162chanID @ B @ C)) = ((B = A) & (ord_le1802272080chanID @ C @ (insert751661162chanID @ A @ bot_bo443197316chanID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_singleton__insert__inj__eq)). 41.95/15.98 thf(999,plain,((! [A:secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: (((insert751661162chanID @ A @ bot_bo443197316chanID) = (insert751661162chanID @ B @ C)) = ((B = A) & (ord_le1802272080chanID @ C @ (insert751661162chanID @ A @ bot_bo443197316chanID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[210])). 41.95/15.98 thf(82,axiom,((! [A:set_Secrecy_specID]: ((! [B:secrecy_specID]: ~ (member740727610specID @ B @ A)) => (ord_le996703545specID @ A @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_278_subset__emptyI)). 41.95/15.98 thf(620,plain,((! [A:set_Secrecy_specID]: ((! [B:secrecy_specID]: ~ (member740727610specID @ B @ A)) => (ord_le996703545specID @ A @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[82])). 41.95/15.98 thf(150,axiom,((! [A:(secrecy_chanID > (secrecy_chanID > $o))]: (pairwi1741995279chanID @ A @ bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_pairwise__empty)). 41.95/15.98 thf(833,plain,((! [A:(secrecy_chanID > (secrecy_chanID > $o))]: (pairwi1741995279chanID @ (A) @ bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[150])). 41.95/15.98 thf(199,axiom,((! [A:secrecy_chanID,B:secrecy_chanID,C:secrecy_chanID,D:secrecy_chanID]: (((insert751661162chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = (insert751661162chanID @ C @ (insert751661162chanID @ D @ bot_bo443197316chanID))) = (((B = D) & (A = C)) | ((A = D) & (B = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_doubleton__eq__iff)). 41.95/15.98 thf(967,plain,((! [A:secrecy_chanID,B:secrecy_chanID,C:secrecy_chanID,D:secrecy_chanID]: (((insert751661162chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = (insert751661162chanID @ C @ (insert751661162chanID @ D @ bot_bo443197316chanID))) = (((B = D) & (A = C)) | ((A = D) & (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[199])). 41.95/15.98 thf(192,axiom,((ord_le1802272080chanID = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (B = (sup_su370684444chanID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_319_sup_Oorder__iff)). 41.95/15.98 thf(950,plain,(((ord_le1802272080chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (B = (sup_su370684444chanID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[192])). 41.95/15.98 thf(151,axiom,((! [A:secrecy_specID,B:secrecy_specID]: ((A = B) <= (member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_singletonD)). 41.95/15.98 thf(835,plain,((! [A:secrecy_specID,B:secrecy_specID]: ((A = B) | ~ (member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[151])). 41.95/15.98 thf(141,axiom,((! [A:set_Secrecy_chanID,B:(set_Secrecy_chanID > set_Secrecy_chanID),C:set_Secrecy_chanID,D:set_Secrecy_chanID]: (((ord_le1802272080chanID @ C @ D) => ((! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le1802272080chanID @ (B @ E) @ (B @ F)))) => (ord_le1802272080chanID @ A @ (B @ D)))) <= (A = (B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_ord__eq__le__subst)). 41.95/15.98 thf(801,plain,((! [A:set_Secrecy_chanID,B:(set_Secrecy_chanID > set_Secrecy_chanID),C:set_Secrecy_chanID,D:set_Secrecy_chanID]: (((ord_le1802272080chanID @ C @ D) => ((! [E:set_Secrecy_chanID,F:set_Secrecy_chanID]: ((ord_le1802272080chanID @ E @ F) => (ord_le1802272080chanID @ (B @ E) @ (B @ F)))) => (ord_le1802272080chanID @ A @ (B @ D)))) | ~ (A = (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[141])). 41.95/15.98 thf(96,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => (ord_le1802272080chanID @ (insert751661162chanID @ C @ A) @ (insert751661162chanID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_insert__mono)). 41.95/15.98 thf(664,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => (ord_le1802272080chanID @ (insert751661162chanID @ C @ A) @ (insert751661162chanID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[96])). 41.95/15.98 thf(148,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((ineM @ A @ B @ C) => (ine @ A @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_ineM__ine)). 41.95/15.98 thf(828,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((ineM @ A @ B @ C) => (ine @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[148])). 41.95/15.98 thf(337,axiom,((ine = (^ [A:secrecy_specID,B:secrecy_Expression]: ? [C:secrecy_chanID]: ((exprChannel @ C @ B) & (member1967978193chanID @ C @ (ins @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_ine__def)). 41.95/15.98 thf(1473,plain,(((ine) = (^ [A:secrecy_specID,B:secrecy_Expression]: ? [C:secrecy_chanID]: ((exprChannel @ C @ B) & (member1967978193chanID @ C @ (ins @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[337])). 41.95/15.98 thf(310,axiom,((! [A:set_Secrecy_chanID]: ((? [B:secrecy_chanID]: (member1967978193chanID @ B @ A)) = (A != bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_ex__in__conv)). 41.95/15.98 thf(1363,plain,((! [A:set_Secrecy_chanID]: ((? [B:secrecy_chanID]: (member1967978193chanID @ B @ A)) = (~ (A = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[310])). 41.95/15.98 thf(299,axiom,((! [A:set_Secrecy_chanID]: ((A = bot_bo443197316chanID) <= (! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_equals0I)). 41.95/15.98 thf(1314,plain,((! [A:set_Secrecy_chanID]: ((A = bot_bo443197316chanID) | ~ (! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[299])). 41.95/15.98 thf(44,axiom,((! [A:set_Secrecy_specID,B:(set_Secrecy_specID > set_Secrecy_specID),C:set_Secrecy_specID,D:set_Secrecy_specID]: ((ord_le996703545specID @ A @ (B @ C)) => ((ord_le996703545specID @ C @ D) => ((! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ (B @ E) @ (B @ F)) <= (ord_le996703545specID @ E @ F))) => (ord_le996703545specID @ A @ (B @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_order__subst1)). 41.95/15.98 thf(474,plain,((! [A:set_Secrecy_specID,B:(set_Secrecy_specID > set_Secrecy_specID),C:set_Secrecy_specID,D:set_Secrecy_specID]: ((ord_le996703545specID @ A @ (B @ C)) => ((ord_le996703545specID @ C @ D) => ((! [E:set_Secrecy_specID,F:set_Secrecy_specID]: ((ord_le996703545specID @ (B @ E) @ (B @ F)) | ~ (ord_le996703545specID @ E @ F))) => (ord_le996703545specID @ A @ (B @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])). 41.95/15.98 thf(131,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((~ (! [D:set_Secrecy_chanID]: ((! [E:set_Secrecy_chanID]: ((A != (sup_su370684444chanID @ D @ E)) <= (ord_le1802272080chanID @ E @ C))) <= (ord_le1802272080chanID @ D @ B)))) <= (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_251_subset__UnE)). 41.95/15.98 thf(767,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (~ (! [D:set_Secrecy_chanID]: (! [E:set_Secrecy_chanID]: (~ (A = (sup_su370684444chanID @ D @ E)) | ~ (ord_le1802272080chanID @ E @ C)) | ~ (ord_le1802272080chanID @ D @ B))) | ~ (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[131])). 41.95/15.98 thf(114,axiom,((ord_le1802272080chanID = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ B @ A) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_sup_Oabsorb__iff1)). 41.95/15.98 thf(720,plain,(((ord_le1802272080chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ B @ A) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[114])). 41.95/15.98 thf(257,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ A) => ((member1967978193chanID @ D @ (ins @ A)) => ((member1967978193chanID @ D @ (ins @ B)) | (member1967978193chanID @ D @ (ins @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_correctCompositionIn__prop1)). 41.95/15.98 thf(1165,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ A) => ((member1967978193chanID @ D @ (ins @ A)) => ((member1967978193chanID @ D @ (ins @ B)) | (member1967978193chanID @ D @ (ins @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[257])). 41.95/15.98 thf(21,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((ord_le996703545specID @ A @ B) => (ord_le996703545specID @ (insert1671894227specID @ C @ A) @ (insert1671894227specID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_insert__mono)). 41.95/15.98 thf(395,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((ord_le996703545specID @ A @ B) => (ord_le996703545specID @ (insert1671894227specID @ C @ A) @ (insert1671894227specID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 41.95/15.98 thf(283,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID,E:set_Secrecy_chanID]: ((((subcomponents @ C) = (insert1671894227specID @ D @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => (((out_exprChannelSet @ D @ E @ B) => ((~ (eout @ C @ B)) <= (! [F:secrecy_chanID]: ((member1967978193chanID @ F @ E) => (member1967978193chanID @ F @ (loc @ C)))))) <= (correc990227761ionOut @ C))) <= (~ (eout @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_TBtheorem5a__notP2)). 41.95/15.98 thf(1261,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID,E:set_Secrecy_chanID]: ((((subcomponents @ C) = (insert1671894227specID @ D @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => (((out_exprChannelSet @ D @ E @ B) => (~ (eout @ C @ B) | ~ (! [F:secrecy_chanID]: ((member1967978193chanID @ F @ E) => (member1967978193chanID @ F @ (loc @ C)))))) | ~ (correc990227761ionOut @ C))) | (eout @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[283])). 41.95/15.98 thf(70,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: (((ord_le996703545specID @ B @ A) = (B = A)) <= (ord_le996703545specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_antisym__conv)). 41.95/15.98 thf(575,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: (((ord_le996703545specID @ B @ A) = (B = A)) | ~ (ord_le996703545specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])). 41.95/15.98 thf(253,axiom,((! [A:secrecy_chanID]: ((member1967978193chanID @ A @ (ins @ pq)) => (~ (exprChannel @ A @ m))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_assms_I5_J)). 41.95/15.98 thf(1152,plain,((! [A:secrecy_chanID]: ((member1967978193chanID @ A @ (ins @ pq)) => (~ (exprChannel @ A @ m))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[253])). 41.95/15.98 thf(165,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ B) @ C) => (~ ((~ (ord_le1802272080chanID @ B @ C)) <= (ord_le1802272080chanID @ A @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_317_sup_OboundedE)). 41.95/15.98 thf(871,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ (sup_su370684444chanID @ A @ B) @ C) => (~ (~ (ord_le1802272080chanID @ B @ C) | ~ (ord_le1802272080chanID @ A @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[165])). 41.95/15.98 thf(50,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => ((insert1671894227specID @ A @ B) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_insert__absorb)). 41.95/15.98 thf(501,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => ((insert1671894227specID @ A @ B) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 41.95/15.98 thf(117,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: ((insert1671894227specID @ A @ (insert1671894227specID @ B @ C)) = (insert1671894227specID @ B @ (insert1671894227specID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_insert__commute)). 41.95/15.98 thf(728,plain,((! [A:secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: ((insert1671894227specID @ A @ (insert1671894227specID @ B @ C)) = (insert1671894227specID @ B @ (insert1671894227specID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[117])). 41.95/15.98 thf(121,axiom,((! [A:(secrecy_chanID > (secrecy_chanID > $o)),B:secrecy_chanID]: (pairwi1741995279chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_pairwise__singleton)). 41.95/15.98 thf(740,plain,((! [A:(secrecy_chanID > (secrecy_chanID > $o)),B:secrecy_chanID]: (pairwi1741995279chanID @ (A) @ (insert751661162chanID @ B @ bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[121])). 41.95/15.98 thf(273,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (uminus1044094777chanID @ B)) <= (~ (member1967978193chanID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_333_ComplI)). 41.95/15.98 thf(1236,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (uminus1044094777chanID @ B)) | (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[273])). 41.95/15.98 thf(206,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_304_le__supI1)). 41.95/15.98 thf(987,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[206])). 41.95/15.98 thf(304,axiom,((! [A:secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ C)) = ((A = B) | (member1967978193chanID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_insert__iff)). 41.95/15.98 thf(1331,plain,((! [A:secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ C)) = ((A = B) | (member1967978193chanID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[304])). 41.95/15.98 thf(188,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (inf_in1474033538chanID @ B @ C)) = ((ord_le1802272080chanID @ A @ C) & (ord_le1802272080chanID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_353_Int__subset__iff)). 41.95/15.98 thf(940,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ (inf_in1474033538chanID @ B @ C)) = ((ord_le1802272080chanID @ A @ C) & (ord_le1802272080chanID @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[188])). 41.95/15.98 thf(60,axiom,((! [A:set_Secrecy_specID,B:secrecy_specID]: ((ord_le996703545specID @ A @ (uminus238526242specID @ (insert1671894227specID @ B @ bot_bo1785112429specID))) = (~ (member740727610specID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_subset__Compl__singleton)). 41.95/15.98 thf(543,plain,((! [A:set_Secrecy_specID,B:secrecy_specID]: ((ord_le996703545specID @ A @ (uminus238526242specID @ (insert1671894227specID @ B @ bot_bo1785112429specID))) = (~ (member740727610specID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])). 41.95/15.98 thf(111,axiom,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((ord_le1802272080chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = ((A = (insert751661162chanID @ B @ bot_bo443197316chanID)) | (A = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_subset__singleton__iff)). 41.95/15.98 thf(708,plain,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((ord_le1802272080chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = ((A = (insert751661162chanID @ B @ bot_bo443197316chanID)) | (A = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[111])). 41.95/15.98 thf(169,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((sup_su370684444chanID @ A @ B) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_sup__absorb2)). 41.95/15.98 thf(882,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((ord_le1802272080chanID @ A @ B) => ((sup_su370684444chanID @ A @ B) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[169])). 41.95/15.98 thf(201,axiom,((! [A:secrecy_chanID,B:secrecy_chanID]: ((A = B) <= ((insert751661162chanID @ A @ bot_bo443197316chanID) = (insert751661162chanID @ B @ bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_singleton__inject)). 41.95/15.98 thf(972,plain,((! [A:secrecy_chanID,B:secrecy_chanID]: ((A = B) | ~ ((insert751661162chanID @ A @ bot_bo443197316chanID) = (insert751661162chanID @ B @ bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[201])). 41.95/15.98 thf(222,axiom,((is_emp1849217361specID = (^ [A:set_Secrecy_specID]: (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_Set_Ois__empty__def)). 41.95/15.98 thf(1037,plain,(((is_emp1849217361specID) = (^ [A:set_Secrecy_specID]: (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[222])). 41.95/15.98 thf(133,axiom,((! [A:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_order__refl)). 41.95/15.98 thf(775,plain,((! [A:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[133])). 41.95/15.98 thf(127,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_254_Un__upper2)). 41.95/15.98 thf(755,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (ord_le1802272080chanID @ A @ (sup_su370684444chanID @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[127])). 41.95/15.98 thf(100,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ (inf_in1474033538chanID @ B @ A)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_354_Int__Un__eq_I4_J)). 41.95/15.98 thf(676,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ (inf_in1474033538chanID @ B @ A)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[100])). 41.95/15.98 thf(49,axiom,((! [A:set_Secrecy_specID,B:secrecy_specID]: ((~ (member740727610specID @ B @ A)) <= (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_equals0D)). 41.95/15.98 thf(496,plain,((! [A:set_Secrecy_specID,B:secrecy_specID]: (~ (member740727610specID @ B @ A) | ~ (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])). 41.95/15.98 thf(233,axiom,((! [A:set_Secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ (insert751661162chanID @ B @ C)) = (insert751661162chanID @ B @ (sup_su370684444chanID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_Un__insert__right)). 41.95/15.98 thf(1069,plain,((! [A:set_Secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ (insert751661162chanID @ B @ C)) = (insert751661162chanID @ B @ (sup_su370684444chanID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[233])). 41.95/15.98 thf(1626,plain,($false),inference(cvc4,[status(thm)],[892,809,760,1454,846,777,481,365,1190,909,1031,1005,1406,379,861,1173,655,511,1305,597,385,797,1275,1327,698,747,930,670,1063,340,1095,1196,898,1391,1386,1475,1254,651,885,1046,565,1366,1055,1287,1298,504,934,1132,1323,838,917,702,853,1013,1302,1450,591,376,514,937,1183,821,1418,623,1334,646,1383,348,981,1169,734,956,1072,1394,411,1104,507,527,877,692,1074,452,661,546,925,1199,1470,1067,1274,825,1021,1355,429,815,1238,1042,952,467,361,435,1457,889,493,1079,757,682,1128,1281,1291,583,830,1159,461,1360,1089,874,1259,948,388,869,742,578,1138,356,857,1397,1082,339,554,1414,637,489,1214,679,1039,970,1192,1060,984,1002,569,605,393,1114,1318,1202,1086,1241,633,921,398,906,1135,745,689,444,601,1154,975,1007,1389,843,772,711,1403,1256,572,1271,1312,787,1058,1092,764,900,1408,784,736,567,880,616,990,996,1376,1439,535,594,895,964,626,1344,943,1177,932,345,552,799,726,848,700,959,780,455,1015,1435,1250,851,438,653,658,912,685,695,1245,722,1034,426,1467,795,927,1277,648,812,749,516,342,1018,458,1049,557,640,705,1400,414,954,1267,1098,993,409,1230,673,1186,441,370,840,463,470,643,1220,1023,613,1284,1052,864,978,859,1421,450,1459,539,903,1412,1216,1126,1010,368,1157,1321,524,581,961,946,351,390,401,588,1253,731,418,1212,383,1309,716,667,1294,1077,478,549,1444,1116,1348,752,447,432,818,1380,1148,1248,867,373,999,620,833,967,950,835,801,664,828,1473,1363,1314,474,767,720,1165,395,1261,575,1152,871,501,728,740,1236,987,1331,940,543,708,882,972,1037,775,755,676,496,1069])). 41.95/15.98 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 41.95/15.98 % [INFO] Killing All external provers ... 41.95/15.98 FINAL WATCH: 35.2 CPU 11.9 WC 41.95/15.98 Killed 2 orphans 41.95/15.98 Killed 1 orphans 41.95/15.98 Killed 1 orphans 41.95/15.98 EOF