0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.15 % Command : run_Leo-III %s %d 0.15/0.35 % Computer : n015.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1440 0.15/0.35 % WCLimit : 180 0.15/0.35 % DateTime : Mon Jul 3 05:26:55 EDT 2023 0.15/0.35 % CPUTime : 0.84/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 1.77/1.15 % [INFO] Parsing done (340ms). 1.77/1.16 % [INFO] Running in sequential loop mode. 2.96/1.47 % [INFO] eprover registered as external prover. 2.96/1.48 % [INFO] cvc4 registered as external prover. 3.02/1.48 % [INFO] Scanning for conjecture ... 3.30/1.62 % [INFO] Found a conjecture and 355 axioms. Running axiom selection ... 3.92/1.78 % [INFO] Axiom selection finished. Selected 271 axioms (removed 84 axioms). 4.64/2.08 % [INFO] Problem is higher-order (TPTP THF). 5.03/2.10 % [INFO] Type checking passed. 5.03/2.11 % [CONFIG] Using configuration: timeout(180) with strategy. Searching for refutation ... 39.11/9.76 % External prover 'cvc4' found a proof! 39.11/9.76 % [INFO] Killing All external provers ... 39.11/9.76 % Time passed: 9279ms (effective reasoning time: 8596ms) 39.11/9.76 % Solved by strategy 39.11/9.76 % Axioms used in derivation (271): fact_303_sup__bot_Oleft__neutral, fact_54_TBtheorem4b__P, fact_124_insert__ident, fact_30_Expression_Oexhaust, fact_342_eout__know__nonKS__s, fact_223_correctCompositionKS__exprChannel__s__Q, fact_233_UnCI, fact_56_TBtheorem4a__P, fact_207_is__singletonI_H, fact_144_insertE, fact_76_all__not__in__conv, fact_283_Un__left__absorb, fact_64_insert__iff, fact_28_correctCompositionIn__L2, fact_104_emptyE, fact_328_out__exprChannelSingle__Set, fact_9_KS2Expression_Osimps_I1_J, fact_198_is__singletonI, fact_323_correctCompositionKS__subcomp4, fact_39_singletonI, fact_190_KS2Expression_Osimps_I2_J, fact_229_bot__empty__eq, fact_138_insertI1, fact_41_mem__Collect__eq, fact_344_TBtheore54b__P, fact_60_insertCI, fact_284_Un__left__absorb, fact_170_TBtheorem4a__notPQ, fact_98_equals0D, fact_113_insert__eq__iff, fact_118_insert__absorb, fact_276_ball__Un, fact_248_Un__insert__right, fact_5_not__know__k__not__ine, fact_291_Un__singleton__iff, fact_175_ine__empty__exprChannelSet, fact_193_LocalSecretsComposition__neg1__s, fact_337_TBtheorem5b__notP1, fact_189_KS_Odistinct_I1_J, fact_89_ex__in__conv, fact_17_Expression_Oinject_I3_J, fact_237_UnCI, fact_271_UnI2, fact_171_TBtheorem4a__notP2, fact_317_ineM__Un1, fact_21_ineM__L1, fact_326_TBtheorem5a__notP2, fact_316_bot__eq__sup__iff, fact_86_ex__in__conv, fact_298_sup__bot_Oright__neutral, fact_254_Un__empty__right, fact_297_sup__bot_Oright__neutral, fact_31_correctCompositionIn__prop1, fact_278_Un__assoc, fact_238_Un__iff, fact_199_LocalSecretsComposition__neg__loc__s, fact_259_UnE, fact_236_UnCI, fact_164_correctCompositionInLoc__exprChannel, fact_352_TBtheorem5a__PQ, fact_334_not__eout__eoutM, fact_211_know__composition, fact_205_correctCompositionKS__negQ, fact_318_notSpecKeysSecretsExpr__def, fact_94_equals0I, fact_96_equals0D, fact_217_is__singleton__def, fact_0_assms_I4_J, fact_183_LocalSecretsComposition__ine1__s, fact_279_Un__absorb, fact_52_LocalSecretsComposition__ine2__k, fact_148_singleton__inject, fact_322_TBtheorem2a, fact_119_insert__absorb, fact_123_insert__ident, fact_7_Expression_Odistinct_I5_J, fact_288_singleton__Un__iff, fact_262_UnE, fact_251_Un__insert__left, fact_65_insert__iff, fact_29_Expression_Oinduct, fact_46_Collect__mem__eq, fact_349_out__exprChannelSet__def, fact_182_the__elem__eq, fact_239_Un__iff, fact_244_Un__empty, fact_281_Un__commute, fact_133_insertI2, fact_285_Un__left__commute, fact_82_insert__absorb2, fact_24_TBlemma3b, fact_167_TBtheorem4a__notP1, fact_275_ball__Un, fact_213_know__composition2, fact_40_singletonI, fact_222_correctCompositionKS__exprChannel__s__P, fact_110_insert__commute, fact_263_UnI1, fact_12_LocalSecretsComposition__exprChannel__k, fact_227_LocalSecretsComposition__neg__k, fact_306_sup__bot_Oeq__neutr__iff, fact_324_correctCompositionKS__subcomp3, fact_8_Expression_Odistinct_I3_J, fact_3_assms_I3_J, fact_286_Un__left__commute, fact_294_insert__is__Un, fact_172_ine__exprChannelSet__Single, fact_300_sup__bot_Oneutr__eq__iff, fact_218_correctCompositionKS__exprChannel__k__P, fact_295_insert__is__Un, fact_267_UnI1, fact_320_correctCompositionKS__subcomp1, fact_153_doubleton__eq__iff, fact_340_not__know__k__not__eout, fact_346_TBtheorem45a__P, fact_345_TBtheorem5b__PQ, fact_301_sup__bot_Oneutr__eq__iff, fact_341_eout__know__k, fact_150_insert__not__empty, fact_321_correctCompositionKS__subcomp2, fact_202_correctCompositionKS__PQ, fact_309_sup__bot__left, fact_179_locStream__def, fact_103_emptyE, fact_261_UnE, fact_18_Expression_Odistinct_I11_J, fact_73_all__not__in__conv, fact_6_know_Osimps_I1_J, fact_195_is__singleton__the__elem, fact_35_TBtheorem1a, fact_258_UnE, fact_273_bex__Un, fact_14_KS_Oinject_I1_J, fact_220_correctCompositionKS__exprChannel__k__Pex, fact_180_inStream__def, fact_187_KS_Oexhaust, fact_88_ex__in__conv, fact_83_insert__absorb2, fact_191_not__know__s__not__ine, fact_163_singletonD, fact_188_KS_Oinduct, fact_312_sup__bot__right, fact_11_not__ine__ineM, fact_107_mk__disjoint__insert, fact_91_equals0I, fact_277_Un__assoc, fact_329_out__exprChannelSet__Single, fact_173_ine__exprChannelSingle__Set, fact_69_empty__Collect__eq, fact_269_UnI2, fact_81_empty__iff, fact_33_LocalSecretsComposition__exprChannel__s, fact_266_UnI1, fact_219_correctCompositionKS__exprChannel__k__Q, fact_177_ine__exprChannelSingle__def, fact_333_eoutM__eout, fact_234_UnCI, fact_338_eout__know__nonKS__k, fact_143_insertE, fact_55_TBtheorem4b__PQ, fact_1_assms_I2_J, fact_216_is__singleton__def, fact_157_singleton__iff, fact_78_empty__iff, fact_93_equals0I, fact_307_sup__bot_Oeq__neutr__iff, fact_174_ine__nonempty__exprChannelSet, fact_272_UnI2, fact_169_TBtheorem4b__notP2, fact_241_Un__iff, fact_268_UnI2, fact_212_know__composition1, fact_336_TBtheorem5b__notP2, fact_280_Un__absorb, fact_84_TBtheorem4a__empty, fact_99_equals0D, fact_186_bot__set__def, fact_75_all__not__in__conv, fact_347_eout__def, fact_15_Expression_Oinject_I2_J, fact_23_ineM__def, fact_351_correctCompositionOut__prop1, fact_274_bex__Un, fact_196_is__singleton__the__elem, fact_203_correctCompositionKS__neg1, fact_134_insertI2, fact_168_TBtheorem4b__notPQ, fact_158_singleton__iff, fact_313_sup__bot__right, fact_319_TBtheorem5a__empty, fact_101_emptyE, fact_214_is__singletonE, fact_16_Expression_Oinject_I4_J, fact_4_Expression_Oinject_I1_J, fact_209_is__singletonI_H, fact_245_Un__empty, fact_339_eoutKnowCorrect__L1k, fact_226_LocalSecretsComposition__neg__s, fact_224_correctCompositionKS__exprChannel__s__Pex, fact_256_Un__empty__left, fact_49_Collect__mem__eq, fact_128_Set_Oset__insert, fact_19_Expression_Odistinct_I9_J, fact_47_Collect__mem__eq, fact_129_Set_Oset__insert, fact_331_eout__know__s, fact_335_TBtheorem2b, fact_354_adv__not__know2, fact_106_mk__disjoint__insert, fact_325_TBtheorem5a__notP1, fact_139_insertI1, fact_194_LocalSecretsComposition__ine2__s, fact_162_singletonD, fact_327_TBtheorem5a__notPQ, fact_197_is__singletonI, fact_221_correctCompositionKS__exprChannel__k__Qex, fact_192_know_Osimps_I2_J, fact_249_Un__insert__left, fact_152_doubleton__eq__iff, fact_348_eoutM__def, fact_147_correctCompositionIn__L1, fact_13_Expression_Odistinct_I1_J, fact_204_correctCompositionKS__negP, fact_210_is__singletonI_H, fact_80_empty__iff, fact_151_insert__not__empty, fact_242_Un__iff, fact_350_out__exprChannelSingle__def, fact_201_correctCompositionKS__exprChannel__s__Qex, fact_34_TBtheorem3a, fact_166_TBtheorem4b__notP1, fact_114_insert__eq__iff, fact_111_insert__commute, fact_253_Un__empty__right, fact_264_UnI1, fact_149_singleton__inject, fact_257_Un__empty__left, fact_2_assms_I1_J, fact_32_LocalSecretsComposition1, fact_25_TBtheorem1b, fact_332_not__know__s__not__eout, fact_71_Collect__empty__eq, fact_42_mem__Collect__eq, fact_27_ine__ins__neg1, fact_304_sup__bot_Oleft__neutral, fact_289_singleton__Un__iff, fact_176_ine__exprChannelSet__def, fact_22_ine__def, fact_343_eoutKnowCorrect__L1s, fact_165_subcomponents__loc, fact_26_TBtheorem3b, fact_51_LocalSecretsComposition__neg1__k, fact_10_ineM__ine, fact_215_is__singletonE, fact_178_LocalSecretsComposition__neg1, fact_200_LocalSecretsComposition__neg__loc__k, fact_315_bot__eq__sup__iff, fact_184_KS_Oinject_I2_J, fact_20_Expression_Odistinct_I7_J, fact_310_sup__bot__left, fact_181_the__elem__eq, fact_59_insertCI, fact_330_TBtheorem5b__notPQ, fact_292_Un__singleton__iff, fact_53_LocalSecretsComposition__ine1__k, fact_225_LocalSecretsComposition__neg, fact_44_mem__Collect__eq, fact_246_Un__insert__right, fact_232_bot__empty__eq, fact_282_Un__commute, fact_57_TBtheorem4a__PQ 39.11/9.77 % No. of inferences in proof: 592 39.11/9.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9279 ms resp. 8596 ms w/o parsing 39.91/10.05 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 39.91/10.05 thf(list_S529945141ession_type, type, list_S529945141ession: $tType). 39.91/10.05 thf(set_Secrecy_Secrets_type, type, set_Secrecy_Secrets: $tType). 39.91/10.05 thf(set_Secrecy_specID_type, type, set_Secrecy_specID: $tType). 39.91/10.05 thf(set_Secrecy_chanID_type, type, set_Secrecy_chanID: $tType). 39.91/10.05 thf(set_Secrecy_Keys_type, type, set_Secrecy_Keys: $tType). 39.91/10.05 thf(set_Secrecy_KS_type, type, set_Secrecy_KS: $tType). 39.91/10.05 thf(secrecy_Expression_type, type, secrecy_Expression: $tType). 39.91/10.05 thf(secrecy_Secrets_type, type, secrecy_Secrets: $tType). 39.91/10.05 thf(secrecy_specID_type, type, secrecy_specID: $tType). 39.91/10.05 thf(secrecy_chanID_type, type, secrecy_chanID: $tType). 39.91/10.05 thf(secrecy_Keys_type, type, secrecy_Keys: $tType). 39.91/10.05 thf(secrecy_KS_type, type, secrecy_KS: $tType). 39.91/10.05 thf(nat_type, type, nat: $tType). 39.91/10.05 thf(localSecrets_type, type, localSecrets: (secrecy_specID > set_Secrecy_KS)). 39.91/10.05 thf(knowle233900195orrect_type, type, knowle233900195orrect: (secrecy_specID > (secrecy_KS > $o))). 39.91/10.05 thf(knowle945212990e_know_type, type, knowle945212990e_know: (secrecy_specID > (secrecy_KS > $o))). 39.91/10.05 thf(sup_su1301156759ecy_KS_type, type, sup_su1301156759ecy_KS: (set_Secrecy_KS > (set_Secrecy_KS > set_Secrecy_KS))). 39.91/10.05 thf(sup_su552545507y_Keys_type, type, sup_su552545507y_Keys: (set_Secrecy_Keys > (set_Secrecy_Keys > set_Secrecy_Keys))). 39.91/10.05 thf(sup_su370684444chanID_type, type, sup_su370684444chanID: (set_Secrecy_chanID > (set_Secrecy_chanID > set_Secrecy_chanID))). 39.91/10.05 thf(sup_su1712599557specID_type, type, sup_su1712599557specID: (set_Secrecy_specID > (set_Secrecy_specID > set_Secrecy_specID))). 39.91/10.05 thf(mem_Se1967555118ession_type, type, mem_Se1967555118ession: (secrecy_Expression > (list_S529945141ession > $o))). 39.91/10.05 thf(bot_bo2072920570Keys_o_type, type, bot_bo2072920570Keys_o: (secrecy_Keys > $o)). 39.91/10.05 thf(bot_bo1012329985anID_o_type, type, bot_bo1012329985anID_o: (secrecy_chanID > $o)). 39.91/10.05 thf(bot_bo701486667y_Keys_type, type, bot_bo701486667y_Keys: set_Secrecy_Keys). 39.91/10.05 thf(bot_bo443197316chanID_type, type, bot_bo443197316chanID: set_Secrecy_chanID). 39.91/10.05 thf(bot_bo1785112429specID_type, type, bot_bo1785112429specID: set_Secrecy_specID). 39.91/10.05 thf(ord_le1802272080chanID_type, type, ord_le1802272080chanID: (set_Secrecy_chanID > (set_Secrecy_chanID > $o))). 39.91/10.05 thf(correctCompositionKS_type, type, correctCompositionKS: (secrecy_specID > $o)). 39.91/10.05 thf(eout_type, type, eout: (secrecy_specID > (secrecy_Expression > $o))). 39.91/10.05 thf(eoutM_type, type, eoutM: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 39.91/10.05 thf(exprChannel_type, type, exprChannel: (secrecy_chanID > (secrecy_Expression > $o))). 39.91/10.05 thf(ine_type, type, ine: (secrecy_specID > (secrecy_Expression > $o))). 39.91/10.05 thf(ineM_type, type, ineM: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 39.91/10.05 thf(ine_exprChannelSet_type, type, ine_exprChannelSet: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 39.91/10.05 thf(ine_ex1303305700Single_type, type, ine_ex1303305700Single: (secrecy_specID > (secrecy_chanID > (secrecy_Expression > $o)))). 39.91/10.05 thf(notSpe1586871396tsExpr_type, type, notSpe1586871396tsExpr: (secrecy_specID > (list_S529945141ession > $o))). 39.91/10.05 thf(out_exprChannelSet_type, type, out_exprChannelSet: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 39.91/10.05 thf(out_ex985543062Single_type, type, out_ex985543062Single: (secrecy_specID > (secrecy_chanID > (secrecy_Expression > $o)))). 39.91/10.05 thf(specKeys_type, type, specKeys: (secrecy_specID > set_Secrecy_Keys)). 39.91/10.05 thf(specKeysSecrets_type, type, specKeysSecrets: (secrecy_specID > set_Secrecy_KS)). 39.91/10.05 thf(specSecrets_type, type, specSecrets: (secrecy_specID > set_Secrecy_Secrets)). 39.91/10.05 thf(secrecy_dE_type, type, secrecy_dE: (nat > secrecy_Expression)). 39.91/10.05 thf(secrecy_idE_type, type, secrecy_idE: (secrecy_specID > secrecy_Expression)). 39.91/10.05 thf(secrecy_kE_type, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)). 39.91/10.05 thf(secrecy_sE_type, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)). 39.91/10.05 thf(secrec1016742679ession_type, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)). 39.91/10.05 thf(secrecy_kKS_type, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)). 39.91/10.05 thf(secrecy_sKS_type, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)). 39.91/10.05 thf(collect_Secrecy_KS_type, type, collect_Secrecy_KS: ((secrecy_KS > $o) > set_Secrecy_KS)). 39.91/10.05 thf(collect_Secrecy_Keys_type, type, collect_Secrecy_Keys: ((secrecy_Keys > $o) > set_Secrecy_Keys)). 39.91/10.05 thf(collec625564175chanID_type, type, collec625564175chanID: ((secrecy_chanID > $o) > set_Secrecy_chanID)). 39.91/10.05 thf(insert751661162chanID_type, type, insert751661162chanID: (secrecy_chanID > (set_Secrecy_chanID > set_Secrecy_chanID))). 39.91/10.05 thf(insert1671894227specID_type, type, insert1671894227specID: (secrecy_specID > (set_Secrecy_specID > set_Secrecy_specID))). 39.91/10.05 thf(is_sin1096471309y_Keys_type, type, is_sin1096471309y_Keys: (set_Secrecy_Keys > $o)). 39.91/10.05 thf(is_sin581274182chanID_type, type, is_sin581274182chanID: (set_Secrecy_chanID > $o)). 39.91/10.05 thf(is_sin1501507247specID_type, type, is_sin1501507247specID: (set_Secrecy_specID > $o)). 39.91/10.05 thf(the_el2054381829chanID_type, type, the_el2054381829chanID: (set_Secrecy_chanID > secrecy_chanID)). 39.91/10.05 thf(the_el827131246specID_type, type, the_el827131246specID: (set_Secrecy_specID > secrecy_specID)). 39.91/10.05 thf(correctCompositionIn_type, type, correctCompositionIn: (secrecy_specID > $o)). 39.91/10.05 thf(correc965049635ionLoc_type, type, correc965049635ionLoc: (secrecy_specID > $o)). 39.91/10.05 thf(correc990227761ionOut_type, type, correc990227761ionOut: (secrecy_specID > $o)). 39.91/10.05 thf(inStream_type, type, inStream: (secrecy_specID > (set_Secrecy_chanID > $o))). 39.91/10.05 thf(ins_type, type, ins: (secrecy_specID > set_Secrecy_chanID)). 39.91/10.05 thf(loc_type, type, loc: (secrecy_specID > set_Secrecy_chanID)). 39.91/10.05 thf(locStream_type, type, locStream: (secrecy_specID > (set_Secrecy_chanID > $o))). 39.91/10.05 thf(out_type, type, out: (secrecy_specID > set_Secrecy_chanID)). 39.91/10.05 thf(subcomponents_type, type, subcomponents: (secrecy_specID > set_Secrecy_specID)). 39.91/10.05 thf(member_Secrecy_KS_type, type, member_Secrecy_KS: (secrecy_KS > (set_Secrecy_KS > $o))). 39.91/10.05 thf(member_Secrecy_Keys_type, type, member_Secrecy_Keys: (secrecy_Keys > (set_Secrecy_Keys > $o))). 39.91/10.05 thf(member2138796287ecrets_type, type, member2138796287ecrets: (secrecy_Secrets > (set_Secrecy_Secrets > $o))). 39.91/10.05 thf(member1967978193chanID_type, type, member1967978193chanID: (secrecy_chanID > (set_Secrecy_chanID > $o))). 39.91/10.05 thf(member740727610specID_type, type, member740727610specID: (secrecy_specID > (set_Secrecy_specID > $o))). 39.91/10.05 thf(p_type, type, p: secrecy_specID). 39.91/10.05 thf(pq_type, type, pq: secrecy_specID). 39.91/10.05 thf(q_type, type, q: secrecy_specID). 39.91/10.05 thf(key_type, type, key: secrecy_Keys). 39.91/10.05 thf(179,axiom,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((A = bot_bo443197316chanID) => (~ (member1967978193chanID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_equals0D)). 39.91/10.05 thf(892,plain,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((A = bot_bo443197316chanID) => (~ (member1967978193chanID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[179])). 39.91/10.05 thf(155,axiom,((! [A:secrecy_Keys,B:set_Secrecy_Keys,C:set_Secrecy_Keys]: ((member_Secrecy_Keys @ A @ (sup_su552545507y_Keys @ C @ B)) <= (member_Secrecy_Keys @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_269_UnI2)). 39.91/10.05 thf(809,plain,((! [A:secrecy_Keys,B:set_Secrecy_Keys,C:set_Secrecy_Keys]: ((member_Secrecy_Keys @ A @ (sup_su552545507y_Keys @ C @ B)) | ~ (member_Secrecy_Keys @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[155])). 39.91/10.05 thf(113,axiom,((! [A:nat,B:secrecy_specID]: ((secrecy_dE @ A) != (secrecy_idE @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_Expression_Odistinct_I11_J)). 39.91/10.05 thf(629,plain,((! [A:nat,B:secrecy_specID]: ~ ((secrecy_dE @ A) = (secrecy_idE @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[113])). 39.91/10.05 thf(32,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_306_sup__bot_Oeq__neutr__iff)). 39.91/10.05 thf(365,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)],[32])). 39.91/10.05 thf(144,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_110_insert__commute)). 39.91/10.05 thf(760,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)],[144])). 39.91/10.05 thf(219,axiom,((ine_exprChannelSet = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: ((member1967978193chanID @ D @ B) => ((member1967978193chanID @ D @ (ins @ A)) & (exprChannel @ D @ C))) & ! [D:secrecy_chanID]: ((~ (exprChannel @ D @ C)) <= (~ (member1967978193chanID @ D @ B) & (member1967978193chanID @ D @ (ins @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_ine__exprChannelSet__def)). 39.91/10.05 thf(1031,plain,(((ine_exprChannelSet) = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: ((member1967978193chanID @ D @ B) => ((member1967978193chanID @ D @ (ins @ A)) & (exprChannel @ D @ C))) & ! [D:secrecy_chanID]: (~ (exprChannel @ D @ C) | ~ (~ (member1967978193chanID @ D @ B) & (member1967978193chanID @ D @ (ins @ A)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[219])). 39.91/10.05 thf(194,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C)) = ((member_Secrecy_KS @ A @ C) | (member_Secrecy_KS @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_Un__iff)). 39.91/10.05 thf(941,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C)) = ((member_Secrecy_KS @ A @ C) | (member_Secrecy_KS @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[194])). 39.91/10.05 thf(259,axiom,((ine = (^ [A:secrecy_specID,B:secrecy_Expression]: ? [C:secrecy_chanID]: ((member1967978193chanID @ C @ (ins @ A)) & (exprChannel @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_ine__def)). 39.91/10.05 thf(1179,plain,(((ine) = (^ [A:secrecy_specID,B:secrecy_Expression]: ? [C:secrecy_chanID]: ((member1967978193chanID @ C @ (ins @ A)) & (exprChannel @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[259])). 39.91/10.05 thf(93,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => (~ (! [C:set_Secrecy_chanID]: ((B = (insert751661162chanID @ A @ C)) => (member1967978193chanID @ A @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_Set_Oset__insert)). 39.91/10.05 thf(555,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => (~ (! [C:set_Secrecy_chanID]: ((B = (insert751661162chanID @ A @ C)) => (member1967978193chanID @ A @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[93])). 39.91/10.05 thf(28,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_Un__empty__left)). 39.91/10.05 thf(352,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 39.91/10.05 thf(204,axiom,((! [A:secrecy_KS]: ((! [B:secrecy_Keys]: (A != (secrecy_kKS @ B))) => (~ (! [B:secrecy_Secrets]: (A != (secrecy_sKS @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_KS_Oexhaust)). 39.91/10.05 thf(977,plain,((! [A:secrecy_KS]: ((! [B:secrecy_Keys]: ~ (A = (secrecy_kKS @ B))) => (~ (! [B:secrecy_Secrets]: ~ (A = (secrecy_sKS @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[204])). 39.91/10.05 thf(37,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_316_bot__eq__sup__iff)). 39.91/10.05 thf(379,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)],[37])). 39.91/10.05 thf(121,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((correctCompositionIn @ A) => (((member1967978193chanID @ D @ (ins @ B)) | (member1967978193chanID @ D @ (ins @ C))) <= (member1967978193chanID @ D @ (ins @ A)))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_correctCompositionIn__prop1)). 39.91/10.05 thf(677,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((correctCompositionIn @ A) => ((member1967978193chanID @ D @ (ins @ B)) | (member1967978193chanID @ D @ (ins @ C)) | ~ (member1967978193chanID @ D @ (ins @ A)))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[121])). 39.91/10.05 thf(83,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((~ (! [C:set_Secrecy_specID]: ((B = (insert1671894227specID @ A @ C)) => (member740727610specID @ A @ C)))) <= (member740727610specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_Set_Oset__insert)). 39.91/10.05 thf(523,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: (~ (! [C:set_Secrecy_specID]: ((B = (insert1671894227specID @ A @ C)) => (member740727610specID @ A @ C))) | ~ (member740727610specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[83])). 39.91/10.05 thf(255,axiom,((! [A:secrecy_Keys]: ((secrec1016742679ession @ (secrecy_kKS @ A)) = (secrecy_kE @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_KS2Expression_Osimps_I1_J)). 39.91/10.05 thf(1158,plain,((! [A:secrecy_Keys]: ((secrec1016742679ession @ (secrecy_kKS @ A)) = (secrecy_kE @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[255])). 39.91/10.05 thf(102,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((~ (member740727610specID @ A @ C)) => (((insert1671894227specID @ A @ B) = (insert1671894227specID @ A @ C)) = (B = C))) <= (~ (member740727610specID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_insert__ident)). 39.91/10.05 thf(582,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((~ (member740727610specID @ A @ C)) => (((insert1671894227specID @ A @ B) = (insert1671894227specID @ A @ C)) = (B = C))) | (member740727610specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[102])). 39.91/10.05 thf(136,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ C @ B)) <= (member_Secrecy_KS @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_UnI2)). 39.91/10.05 thf(730,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ C @ B)) | ~ (member_Secrecy_KS @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[136])). 39.91/10.05 thf(3,axiom,((! [A:secrecy_chanID]: ((the_el2054381829chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_the__elem__eq)). 39.91/10.05 thf(276,plain,((! [A:secrecy_chanID]: ((the_el2054381829chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 39.91/10.05 thf(58,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID) = ((A = bot_bo443197316chanID) & (B = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_sup__bot_Oeq__neutr__iff)). 39.91/10.05 thf(440,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID) = ((A = bot_bo443197316chanID) & (B = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])). 39.91/10.05 thf(79,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_268_UnI2)). 39.91/10.05 thf(511,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)],[79])). 39.91/10.05 thf(39,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_sup__bot_Oright__neutral)). 39.91/10.05 thf(385,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 39.91/10.05 thf(250,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) => ((member1967978193chanID @ E @ (ins @ B)) => (((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A))) => ((correctCompositionIn @ A) => (? [F:secrecy_chanID]: ((exprChannel @ F @ (secrecy_kE @ D)) & (member1967978193chanID @ F @ (ins @ A)))))) <= (exprChannel @ E @ (secrecy_kE @ D))))) <= (correctCompositionKS @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_correctCompositionKS__exprChannel__k__Pex)). 39.91/10.05 thf(1137,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) => ((member1967978193chanID @ E @ (ins @ B)) => (((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A))) => ((correctCompositionIn @ A) => (? [F:secrecy_chanID]: ((exprChannel @ F @ (secrecy_kE @ D)) & (member1967978193chanID @ F @ (ins @ A)))))) | ~ (exprChannel @ E @ (secrecy_kE @ D))))) | ~ (correctCompositionKS @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[250])). 39.91/10.05 thf(91,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Secrets]: ((correctCompositionKS @ A) => (((member2138796287ecrets @ C @ (specSecrets @ A)) <= (member2138796287ecrets @ C @ (specSecrets @ B))) <= (member740727610specID @ B @ (subcomponents @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_323_correctCompositionKS__subcomp4)). 39.91/10.05 thf(550,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Secrets]: ((correctCompositionKS @ A) => ((member2138796287ecrets @ C @ (specSecrets @ A)) | ~ (member2138796287ecrets @ C @ (specSecrets @ B)) | ~ (member740727610specID @ B @ (subcomponents @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[91])). 39.91/10.05 thf(76,axiom,((! [A:secrecy_Keys]: ~ (member_Secrecy_Keys @ A @ bot_bo701486667y_Keys))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_emptyE)). 39.91/10.05 thf(500,plain,((! [A:secrecy_Keys]: ~ (member_Secrecy_Keys @ A @ bot_bo701486667y_Keys))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[76])). 39.91/10.05 thf(69,axiom,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_empty__iff)). 39.91/10.05 thf(472,plain,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[69])). 39.91/10.05 thf(157,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((((? [F:secrecy_chanID]: (((member1967978193chanID @ F @ (ins @ A)) | (member1967978193chanID @ F @ (ins @ D))) & (exprChannel @ F @ C) & ~ (member1967978193chanID @ F @ (loc @ E)) & (member1967978193chanID @ F @ B))) => (ineM @ E @ B @ C)) <= (correctCompositionIn @ E)) <= ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID)))) <= ((ineM @ D @ B @ C) | (ineM @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_TBtheorem4b__PQ)). 39.91/10.05 thf(814,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((? [F:secrecy_chanID]: (((member1967978193chanID @ F @ (ins @ A)) | (member1967978193chanID @ F @ (ins @ D))) & (exprChannel @ F @ C) & ~ (member1967978193chanID @ F @ (loc @ E)) & (member1967978193chanID @ F @ B))) => (ineM @ E @ B @ C)) | ~ (correctCompositionIn @ E) | ~ ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) | ~ ((ineM @ D @ B @ C) | (ineM @ A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[157])). 39.91/10.05 thf(141,axiom,((! [A:secrecy_specID,B:secrecy_specID]: (((secrecy_idE @ A) = (secrecy_idE @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_Expression_Oinject_I4_J)). 39.91/10.05 thf(747,plain,((! [A:secrecy_specID,B:secrecy_specID]: (((secrecy_idE @ A) = (secrecy_idE @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[141])). 39.91/10.05 thf(87,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID,D:set_Secrecy_specID]: (((~ (member740727610specID @ C @ D)) => (((insert1671894227specID @ A @ B) = (insert1671894227specID @ C @ D)) = (((? [E:set_Secrecy_specID]: ((B = (insert1671894227specID @ C @ E)) & (D = (insert1671894227specID @ A @ E)) & ~ (member740727610specID @ A @ E) & ~ (member740727610specID @ C @ E))) <= (A != C)) & ((B = D) <= (A = C))))) <= (~ (member740727610specID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_insert__eq__iff)). 39.91/10.05 thf(538,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID,D:set_Secrecy_specID]: (((~ (member740727610specID @ C @ D)) => (((insert1671894227specID @ A @ B) = (insert1671894227specID @ C @ D)) = ((? [E:set_Secrecy_specID]: ((B = (insert1671894227specID @ C @ E)) & (D = (insert1671894227specID @ A @ E)) & ~ (member740727610specID @ A @ E) & ~ (member740727610specID @ C @ E)) | (A = C)) & ((B = D) | ~ (A = C))))) | (member740727610specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[87])). 39.91/10.05 thf(270,axiom,(((subcomponents @ pq) = (insert1671894227specID @ p @ (insert1671894227specID @ q @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_assms_I3_J)). 39.91/10.05 thf(1222,plain,(((subcomponents @ pq) = (insert1671894227specID @ p @ (insert1671894227specID @ q @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[270])). 39.91/10.05 thf(191,axiom,((! [A:secrecy_Secrets,B:secrecy_Secrets]: (((secrecy_sKS @ A) = (secrecy_sKS @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_KS_Oinject_I2_J)). 39.91/10.05 thf(930,plain,((! [A:secrecy_Secrets,B:secrecy_Secrets]: (((secrecy_sKS @ A) = (secrecy_sKS @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[191])). 39.91/10.05 thf(210,axiom,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_Un__absorb)). 39.91/10.05 thf(1001,plain,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[210])). 39.91/10.05 thf(247,axiom,((! [A:(secrecy_Expression > $o),B:secrecy_Expression]: (((((A @ B) <= (! [C:secrecy_specID]: (A @ (secrecy_idE @ C)))) <= (! [C:nat]: (A @ (secrecy_dE @ C)))) <= (! [C:secrecy_Secrets]: (A @ (secrecy_sE @ C)))) <= (! [C:secrecy_Keys]: (A @ (secrecy_kE @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_Expression_Oinduct)). 39.91/10.05 thf(1127,plain,((! [A:(secrecy_Expression > $o),B:secrecy_Expression]: ((A @ B) | ~ (! [C:secrecy_specID]: (A @ (secrecy_idE @ C))) | ~ (! [C:nat]: (A @ (secrecy_dE @ C))) | ~ (! [C:secrecy_Secrets]: (A @ (secrecy_sE @ C))) | ~ (! [C:secrecy_Keys]: (A @ (secrecy_kE @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[247])). 39.91/10.05 thf(148,axiom,((! [A:secrecy_KS,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((~ (member_Secrecy_KS @ A @ (specKeysSecrets @ B))) => (((((subcomponents @ D) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((correctCompositionKS @ D) => (knowle945212990e_know @ D @ A)) <= (correctCompositionIn @ D))) <= (knowle945212990e_know @ B @ A)) <= (~ (member_Secrecy_KS @ A @ (specKeysSecrets @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_know__composition1)). 39.91/10.05 thf(782,plain,((! [A:secrecy_KS,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((~ (member_Secrecy_KS @ A @ (specKeysSecrets @ B))) => ((((subcomponents @ D) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((correctCompositionKS @ D) => (knowle945212990e_know @ D @ A)) | ~ (correctCompositionIn @ D))) | ~ (knowle945212990e_know @ B @ A) | (member_Secrecy_KS @ A @ (specKeysSecrets @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[148])). 39.91/10.05 thf(164,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((insert1671894227specID @ A @ B) != bot_bo1785112429specID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_insert__not__empty)). 39.91/10.05 thf(841,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ~ ((insert1671894227specID @ A @ B) = bot_bo1785112429specID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[164])). 39.91/10.05 thf(272,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc965049635ionLoc @ A) => ((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ D @ (specKeysSecrets @ B))) => ((~ (member_Secrecy_KS @ D @ (specKeysSecrets @ C))) => ((((~ (member_Secrecy_KS @ D @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C)))) => (~ (member_Secrecy_KS @ D @ (localSecrets @ A)))) <= (! [E:secrecy_Secrets]: ((~ (ine @ B @ (secrecy_sE @ E)) & ~ (ine @ C @ (secrecy_sE @ E))) <= (D = (secrecy_sKS @ E))))) <= (! [E:secrecy_Keys]: ((D = (secrecy_kKS @ E)) => (~ (ine @ C @ (secrecy_kE @ E)) & ~ (ine @ B @ (secrecy_kE @ E))))))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_LocalSecretsComposition__neg)). 39.91/10.05 thf(1228,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc965049635ionLoc @ A) => ((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ D @ (specKeysSecrets @ B))) => ((~ (member_Secrecy_KS @ D @ (specKeysSecrets @ C))) => (((~ (member_Secrecy_KS @ D @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C)))) => (~ (member_Secrecy_KS @ D @ (localSecrets @ A)))) | ~ (! [E:secrecy_Secrets]: ((~ (ine @ B @ (secrecy_sE @ E)) & ~ (ine @ C @ (secrecy_sE @ E))) | ~ (D = (secrecy_sKS @ E)))) | ~ (! [E:secrecy_Keys]: ((D = (secrecy_kKS @ E)) => (~ (ine @ C @ (secrecy_kE @ E)) & ~ (ine @ B @ (secrecy_kE @ E))))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[272])). 39.91/10.05 thf(176,axiom,((! [A:(secrecy_chanID > $o)]: ((bot_bo443197316chanID = (collec625564175chanID @ A)) = (! [B:secrecy_chanID]: ~ (A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_empty__Collect__eq)). 39.91/10.05 thf(885,plain,((! [A:(secrecy_chanID > $o)]: ((bot_bo443197316chanID = (collec625564175chanID @ (A))) = (! [B:secrecy_chanID]: ~ (A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[176])). 39.91/10.05 thf(224,axiom,((~ (knowle945212990e_know @ q @ (secrecy_kKS @ key)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_assms_I2_J)). 39.91/10.05 thf(1045,plain,((~ (knowle945212990e_know @ q @ (secrecy_kKS @ key)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[224])). 39.91/10.05 thf(1046,plain,((~ (knowle945212990e_know @ q @ (secrecy_kKS @ key)))),inference(polarity_switch,[status(thm)],[1045])). 39.91/10.05 thf(98,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 = C) & (A = D)) | ((A = C) & (B = D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_doubleton__eq__iff)). 39.91/10.05 thf(570,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 = C) & (A = D)) | ((A = C) & (B = D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[98])). 39.91/10.05 thf(112,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]: (((((((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) <= (member1967978193chanID @ H @ F))) => (~ (ineM @ A @ G @ E))) <= (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ D) => (member1967978193chanID @ H @ (loc @ A))))) <= (ine_exprChannelSet @ C @ F @ E)) <= (ine_exprChannelSet @ B @ D @ E)) <= (correctCompositionIn @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_TBtheorem4b__notPQ)). 39.91/10.05 thf(619,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]: (((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) | ~ (member1967978193chanID @ H @ F))) => (~ (ineM @ A @ G @ E))) | ~ (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ D) => (member1967978193chanID @ H @ (loc @ A)))) | ~ (ine_exprChannelSet @ C @ F @ E) | ~ (ine_exprChannelSet @ B @ D @ E) | ~ (correctCompositionIn @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[112])). 39.91/10.05 thf(186,axiom,((inStream = (^ [A:secrecy_specID]: ((=) @ set_Secrecy_chanID @ (ins @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_inStream__def)). 39.91/10.05 thf(917,plain,(((inStream) = (^ [A:secrecy_specID]: ((=) @ set_Secrecy_chanID @ (ins @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[186])). 39.91/10.05 thf(227,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))) => (((ine_exprChannelSet @ D @ E @ B) => ((~ (ine @ C @ B)) <= (! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ C)) <= (member1967978193chanID @ F @ E))))) <= (correctCompositionIn @ C))) <= (~ (ine @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_TBtheorem4a__notP2)). 39.91/10.05 thf(1055,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))) => (((ine_exprChannelSet @ D @ E @ B) => (~ (ine @ C @ B) | ~ (! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ C)) | ~ (member1967978193chanID @ F @ E))))) | ~ (correctCompositionIn @ C))) | (ine @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[227])). 39.91/10.05 thf(134,axiom,((! [A:set_Secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ (sup_su1301156759ecy_KS @ A @ B) @ C) = (sup_su1301156759ecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_277_Un__assoc)). 39.91/10.05 thf(724,plain,((! [A:set_Secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ (sup_su1301156759ecy_KS @ A @ B) @ C) = (sup_su1301156759ecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[134])). 39.91/10.05 thf(88,axiom,((! [A:set_Secrecy_Keys]: ((! [B:secrecy_Keys]: ~ (member_Secrecy_Keys @ B @ A)) = (A = bot_bo701486667y_Keys)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_all__not__in__conv)). 39.91/10.05 thf(542,plain,((! [A:set_Secrecy_Keys]: ((! [B:secrecy_Keys]: ~ (member_Secrecy_Keys @ B @ A)) = (A = bot_bo701486667y_Keys)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[88])). 39.91/10.05 thf(65,axiom,((! [A:set_Secrecy_Keys]: ((? [B:secrecy_Keys]: (member_Secrecy_Keys @ B @ A)) = (A != bot_bo701486667y_Keys)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_ex__in__conv)). 39.91/10.05 thf(460,plain,((! [A:set_Secrecy_Keys]: ((? [B:secrecy_Keys]: (member_Secrecy_Keys @ B @ A)) = (~ (A = bot_bo701486667y_Keys))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])). 39.91/10.05 thf(94,axiom,((sup_su370684444chanID = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (sup_su370684444chanID @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_Un__commute)). 39.91/10.05 thf(559,plain,(((sup_su370684444chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (sup_su370684444chanID @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[94])). 39.91/10.05 thf(116,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((eoutM @ A @ B @ C) | (eoutM @ D @ B @ C)) => (((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))) <= ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_TBtheorem5b__PQ)). 39.91/10.05 thf(638,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((eoutM @ A @ B @ C) | (eoutM @ D @ B @ C)) => (((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))) | ~ ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[116])). 39.91/10.05 thf(235,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ B))) => ((((~ (ine @ C @ (secrecy_kE @ D))) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C)))) => (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))))) <= (~ (ine @ B @ (secrecy_kE @ D)))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ C)))))) <= (correc965049635ionLoc @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_LocalSecretsComposition__neg__k)). 39.91/10.05 thf(1087,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ B))) => (((~ (ine @ C @ (secrecy_kE @ D))) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C)))) => (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))))) | (ine @ B @ (secrecy_kE @ D)) | (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ C))))) | ~ (correc965049635ionLoc @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[235])). 39.91/10.05 thf(252,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (((((member1967978193chanID @ E @ (ins @ C)) => ((exprChannel @ E @ (secrecy_kE @ D)) => (((correctCompositionIn @ A) => ((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_kE @ D)))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A)))))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A)))) <= (correctCompositionKS @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_correctCompositionKS__exprChannel__k__Q)). 39.91/10.05 thf(1147,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (((member1967978193chanID @ E @ (ins @ C)) => ((exprChannel @ E @ (secrecy_kE @ D)) => (((correctCompositionIn @ A) => ((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_kE @ D)))) | (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A))))) | (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A)) | ~ (correctCompositionKS @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[252])). 39.91/10.05 thf(109,axiom,((! [A:(secrecy_KS > $o),B:secrecy_KS]: (((! [C:secrecy_Secrets]: (A @ (secrecy_sKS @ C))) => (A @ B)) <= (! [C:secrecy_Keys]: (A @ (secrecy_kKS @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_KS_Oinduct)). 39.91/10.05 thf(606,plain,((! [A:(secrecy_KS > $o),B:secrecy_KS]: (((! [C:secrecy_Secrets]: (A @ (secrecy_sKS @ C))) => (A @ B)) | ~ (! [C:secrecy_Keys]: (A @ (secrecy_kKS @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[109])). 39.91/10.05 thf(174,axiom,((is_sin1501507247specID = (^ [A:set_Secrecy_specID]: (A = (insert1671894227specID @ (the_el827131246specID @ A) @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_is__singleton__the__elem)). 39.91/10.05 thf(880,plain,(((is_sin1501507247specID) = (^ [A:set_Secrecy_specID]: (A = (insert1671894227specID @ (the_el827131246specID @ A) @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[174])). 39.91/10.05 thf(881,plain,(((is_sin1501507247specID) = (^ [A:set_Secrecy_specID]: (A = (insert1671894227specID @ (the_el827131246specID @ A) @ bot_bo1785112429specID))))),inference(lifteq,[status(thm)],[880])). 39.91/10.05 thf(243,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((ine_exprChannelSet @ A @ B @ C) => ((ine @ A @ C) <= (B != bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_ine__nonempty__exprChannelSet)). 39.91/10.05 thf(1115,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((ine_exprChannelSet @ A @ B @ C) => ((ine @ A @ C) | (B = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[243])). 39.91/10.05 thf(17,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ C)) => ((member740727610specID @ A @ C) <= (A != B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_insertE)). 39.91/10.05 thf(316,plain,((! [A:secrecy_specID,B:secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ C)) => ((member740727610specID @ A @ C) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 39.91/10.05 thf(239,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: ((((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) => (((((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) & (exprChannel @ F @ (secrecy_kE @ D)))) <= (correctCompositionIn @ A)) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A)))) <= (exprChannel @ E @ (secrecy_kE @ D))) <= (member1967978193chanID @ E @ (ins @ C)))) <= (correctCompositionKS @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_correctCompositionKS__exprChannel__k__Qex)). 39.91/10.05 thf(1100,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) => (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) & (exprChannel @ F @ (secrecy_kE @ D))) | ~ (correctCompositionIn @ A) | (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A)) | ~ (exprChannel @ E @ (secrecy_kE @ D)) | ~ (member1967978193chanID @ E @ (ins @ C)))) | ~ (correctCompositionKS @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[239])). 39.91/10.05 thf(52,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]: ((C @ D) <= (member1967978193chanID @ D @ B)) & ! [D:secrecy_chanID]: ((member1967978193chanID @ D @ A) => (C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_276_ball__Un)). 39.91/10.05 thf(421,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]: ((C @ D) | ~ (member1967978193chanID @ D @ B)) & ! [D:secrecy_chanID]: ((member1967978193chanID @ D @ A) => (C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 39.91/10.05 thf(172,axiom,((! [A:set_Secrecy_specID]: ((~ (! [B:secrecy_specID]: (A != (insert1671894227specID @ B @ bot_bo1785112429specID)))) <= (is_sin1501507247specID @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_is__singletonE)). 39.91/10.05 thf(870,plain,((! [A:set_Secrecy_specID]: (~ (! [B:secrecy_specID]: ~ (A = (insert1671894227specID @ B @ bot_bo1785112429specID))) | ~ (is_sin1501507247specID @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[172])). 39.91/10.05 thf(214,axiom,((is_sin1501507247specID = (^ [A:set_Secrecy_specID]: ? [B:secrecy_specID]: (A = (insert1671894227specID @ B @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_is__singleton__def)). 39.91/10.05 thf(1013,plain,(((is_sin1501507247specID) = (^ [A:set_Secrecy_specID]: ? [B:secrecy_specID]: (A = (insert1671894227specID @ B @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[214])). 39.91/10.05 thf(6,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_301_sup__bot_Oneutr__eq__iff)). 39.91/10.05 thf(284,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)],[6])). 39.91/10.05 thf(143,axiom,((! [A:secrecy_Secrets,B:secrecy_specID]: ((secrecy_sE @ A) != (secrecy_idE @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_Expression_Odistinct_I9_J)). 39.91/10.05 thf(756,plain,((! [A:secrecy_Secrets,B:secrecy_specID]: ~ ((secrecy_sE @ A) = (secrecy_idE @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[143])). 39.91/10.05 thf(104,axiom,((locStream = (^ [A:secrecy_specID]: ((=) @ set_Secrecy_chanID @ (loc @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_locStream__def)). 39.91/10.05 thf(590,plain,(((locStream) = (^ [A:secrecy_specID]: ((=) @ set_Secrecy_chanID @ (loc @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[104])). 39.91/10.05 thf(591,plain,(((locStream) = (^ [A:secrecy_specID]: ((=) @ set_Secrecy_chanID @ (loc @ A))))),inference(lifteq,[status(thm)],[590])). 39.91/10.05 thf(59,axiom,((is_sin581274182chanID = (^ [A:set_Secrecy_chanID]: ? [B:secrecy_chanID]: (A = (insert751661162chanID @ B @ bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_is__singleton__def)). 39.91/10.05 thf(443,plain,(((is_sin581274182chanID) = (^ [A:set_Secrecy_chanID]: ? [B:secrecy_chanID]: (A = (insert751661162chanID @ B @ bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])). 39.91/10.05 thf(222,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((insert1671894227specID @ A @ bot_bo1785112429specID) = (sup_su1712599557specID @ B @ C)) = (((C = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ A @ bot_bo1785112429specID))) | ((B = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (C = bot_bo1785112429specID)) | ((B = bot_bo1785112429specID) & (C = (insert1671894227specID @ A @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_singleton__Un__iff)). 39.91/10.05 thf(1040,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((insert1671894227specID @ A @ bot_bo1785112429specID) = (sup_su1712599557specID @ B @ C)) = (((C = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ A @ bot_bo1785112429specID))) | ((B = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (C = bot_bo1785112429specID)) | ((B = bot_bo1785112429specID) & (C = (insert1671894227specID @ A @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[222])). 39.91/10.05 thf(36,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_sup__bot__left)). 39.91/10.05 thf(376,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 39.91/10.05 thf(161,axiom,((ineM = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ? [D:secrecy_chanID]: ((member1967978193chanID @ D @ B) & (exprChannel @ D @ C) & (member1967978193chanID @ D @ (ins @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_ineM__def)). 39.91/10.05 thf(834,plain,(((ineM) = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ? [D:secrecy_chanID]: ((member1967978193chanID @ D @ B) & (exprChannel @ D @ C) & (member1967978193chanID @ D @ (ins @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[161])). 39.91/10.05 thf(80,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_256_Un__empty__left)). 39.91/10.05 thf(514,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[80])). 39.91/10.05 thf(193,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((((~ (member_Secrecy_KS @ D @ (specKeysSecrets @ A))) <= (~ (member_Secrecy_KS @ D @ (specKeysSecrets @ C)))) <= (~ (member_Secrecy_KS @ D @ (specKeysSecrets @ B)))) <= (correctCompositionKS @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_correctCompositionKS__neg1)). 39.91/10.05 thf(937,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (~ (member_Secrecy_KS @ D @ (specKeysSecrets @ A)) | (member_Secrecy_KS @ D @ (specKeysSecrets @ C)) | (member_Secrecy_KS @ D @ (specKeysSecrets @ B)) | ~ (correctCompositionKS @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[193])). 39.91/10.05 thf(27,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (? [C:set_Secrecy_specID]: ((B = (insert1671894227specID @ A @ C)) & ~ (member740727610specID @ A @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_mk__disjoint__insert)). 39.91/10.05 thf(348,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (? [C:set_Secrecy_specID]: ((B = (insert1671894227specID @ A @ C)) & ~ (member740727610specID @ A @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 39.91/10.05 thf(226,axiom,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B)) => (((correc965049635ionLoc @ B) => ((~ (ine @ C @ (secrecy_kE @ A))) => (((ine @ D @ (secrecy_kE @ A)) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ D)))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ C)))))) <= ((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_LocalSecretsComposition__ine2__k)). 39.91/10.05 thf(1051,plain,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B)) => (((correc965049635ionLoc @ B) => ((~ (ine @ C @ (secrecy_kE @ A))) => ((ine @ D @ (secrecy_kE @ A)) | (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ D)) | (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ C))))) | ~ ((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[226])). 39.91/10.05 thf(71,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_315_bot__eq__sup__iff)). 39.91/10.05 thf(480,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)],[71])). 39.91/10.05 thf(70,axiom,((! [A:set_Secrecy_specID,B:secrecy_specID]: ((~ (member740727610specID @ B @ A)) <= (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_equals0D)). 39.91/10.05 thf(475,plain,((! [A:set_Secrecy_specID,B:secrecy_specID]: (~ (member740727610specID @ B @ A) | ~ (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])). 39.91/10.05 thf(189,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((sup_su1712599557specID @ A @ B) = (insert1671894227specID @ C @ bot_bo1785112429specID)) = (((B = bot_bo1785112429specID) & (A = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((A = (insert1671894227specID @ C @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((B = (insert1671894227specID @ C @ bot_bo1785112429specID)) & (A = bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_Un__singleton__iff)). 39.91/10.05 thf(924,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((sup_su1712599557specID @ A @ B) = (insert1671894227specID @ C @ bot_bo1785112429specID)) = (((B = bot_bo1785112429specID) & (A = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((A = (insert1671894227specID @ C @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((B = (insert1671894227specID @ C @ bot_bo1785112429specID)) & (A = bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[189])). 39.91/10.05 thf(4,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((eoutM @ A @ B @ C) => (eout @ A @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_333_eoutM__eout)). 39.91/10.05 thf(279,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((eoutM @ A @ B @ C) => (eout @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 39.91/10.05 thf(280,plain,(! [C:secrecy_Expression,B:set_Secrecy_chanID,A:secrecy_specID] : ((~ (eoutM @ A @ B @ C)) | (eout @ A @ C))),inference(cnf,[status(esa)],[279])). 39.91/10.05 thf(9,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((insert751661162chanID @ A @ B) != bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_insert__not__empty)). 39.91/10.05 thf(293,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ~ ((insert751661162chanID @ A @ B) = bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 39.91/10.05 thf(62,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((~ (member740727610specID @ A @ B)) => (member740727610specID @ A @ C)) <= (member740727610specID @ A @ (sup_su1712599557specID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_258_UnE)). 39.91/10.05 thf(453,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((~ (member740727610specID @ A @ B)) => (member740727610specID @ A @ C)) | ~ (member740727610specID @ A @ (sup_su1712599557specID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])). 39.91/10.05 thf(209,axiom,((! [A:set_Secrecy_KS,B:set_Secrecy_KS,C:(secrecy_KS > $o)]: ((! [D:secrecy_KS]: ((member_Secrecy_KS @ D @ (sup_su1301156759ecy_KS @ A @ B)) => (C @ D))) = (! [D:secrecy_KS]: ((C @ D) <= (member_Secrecy_KS @ D @ B)) & ! [D:secrecy_KS]: ((member_Secrecy_KS @ D @ A) => (C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_ball__Un)). 39.91/10.05 thf(998,plain,((! [A:set_Secrecy_KS,B:set_Secrecy_KS,C:(secrecy_KS > $o)]: ((! [D:secrecy_KS]: ((member_Secrecy_KS @ D @ (sup_su1301156759ecy_KS @ A @ B)) => (C @ D))) = (! [D:secrecy_KS]: ((C @ D) | ~ (member_Secrecy_KS @ D @ B)) & ! [D:secrecy_KS]: ((member_Secrecy_KS @ D @ A) => (C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[209])). 39.91/10.05 thf(48,axiom,((! [A:secrecy_Keys]: ~ (member_Secrecy_Keys @ A @ bot_bo701486667y_Keys))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_empty__iff)). 39.91/10.05 thf(409,plain,((! [A:secrecy_Keys]: ~ (member_Secrecy_Keys @ A @ bot_bo701486667y_Keys))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 39.91/10.05 thf(410,plain,((~ (? [A:secrecy_Keys]: (member_Secrecy_Keys @ A @ bot_bo701486667y_Keys)))),inference(miniscope,[status(thm)],[409])). 39.91/10.05 thf(411,plain,(! [A:secrecy_Keys] : ((~ (member_Secrecy_Keys @ A @ bot_bo701486667y_Keys)))),inference(cnf,[status(esa)],[410])). 39.91/10.05 thf(264,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((((loc @ D) = bot_bo443197316chanID) => (ine @ D @ B)) <= (correctCompositionIn @ D)) <= ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID)))) <= ((ine @ A @ B) | (ine @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_TBtheorem4a__empty)). 39.91/10.05 thf(1201,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((loc @ D) = bot_bo443197316chanID) => (ine @ D @ B)) | ~ (correctCompositionIn @ D) | ~ ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) | ~ ((ine @ A @ B) | (ine @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[264])). 39.91/10.05 thf(166,axiom,((! [A:secrecy_specID]: (is_sin1501507247specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_is__singletonI)). 39.91/10.05 thf(849,plain,((! [A:secrecy_specID]: (is_sin1501507247specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[166])). 39.91/10.05 thf(78,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_106_mk__disjoint__insert)). 39.91/10.05 thf(507,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)],[78])). 39.91/10.05 thf(84,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Secrets]: ((((? [D:secrecy_specID]: ((member2138796287ecrets @ C @ (specSecrets @ D)) & (member740727610specID @ D @ (subcomponents @ A)))) <= (member2138796287ecrets @ C @ (specSecrets @ A))) <= (member740727610specID @ B @ (subcomponents @ A))) <= (correctCompositionKS @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_321_correctCompositionKS__subcomp2)). 39.91/10.05 thf(527,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Secrets]: (? [D:secrecy_specID]: ((member2138796287ecrets @ C @ (specSecrets @ D)) & (member740727610specID @ D @ (subcomponents @ A))) | ~ (member2138796287ecrets @ C @ (specSecrets @ A)) | ~ (member740727610specID @ B @ (subcomponents @ A)) | ~ (correctCompositionKS @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[84])). 39.91/10.05 thf(108,axiom,((! [A:secrecy_KS,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((~ (member_Secrecy_KS @ A @ (specKeysSecrets @ B))) => ((~ (member_Secrecy_KS @ A @ (specKeysSecrets @ C))) => ((((subcomponents @ D) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => ((knowle945212990e_know @ D @ A) <= (correctCompositionKS @ D)))) <= (knowle945212990e_know @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_know__composition2)). 39.91/10.05 thf(602,plain,((! [A:secrecy_KS,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((~ (member_Secrecy_KS @ A @ (specKeysSecrets @ B))) => ((~ (member_Secrecy_KS @ A @ (specKeysSecrets @ C))) => ((((subcomponents @ D) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => ((knowle945212990e_know @ D @ A) | ~ (correctCompositionKS @ D)))) | ~ (knowle945212990e_know @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[108])). 39.91/10.05 thf(205,axiom,((! [A:set_Secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C)) = (sup_su1301156759ecy_KS @ B @ (sup_su1301156759ecy_KS @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_Un__left__commute)). 39.91/10.05 thf(981,plain,((! [A:set_Secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C)) = (sup_su1301156759ecy_KS @ B @ (sup_su1301156759ecy_KS @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[205])). 39.91/10.05 thf(268,axiom,((! [A:secrecy_chanID,B:secrecy_Secrets,C:secrecy_specID,D:secrecy_specID]: ((exprChannel @ A @ (secrecy_sE @ B)) => (((~ (ine @ D @ (secrecy_sE @ B))) => (~ (member1967978193chanID @ A @ (ins @ D)) & ~ (member1967978193chanID @ A @ (ins @ C)))) <= (~ (ine @ C @ (secrecy_sE @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_LocalSecretsComposition__exprChannel__s)). 39.91/10.05 thf(1215,plain,((! [A:secrecy_chanID,B:secrecy_Secrets,C:secrecy_specID,D:secrecy_specID]: ((exprChannel @ A @ (secrecy_sE @ B)) => (((~ (ine @ D @ (secrecy_sE @ B))) => (~ (member1967978193chanID @ A @ (ins @ D)) & ~ (member1967978193chanID @ A @ (ins @ C)))) | (ine @ C @ (secrecy_sE @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[268])). 39.91/10.05 thf(114,axiom,((insert1671894227specID = (^ [A:secrecy_specID]: (sup_su1712599557specID @ (insert1671894227specID @ A @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_insert__is__Un)). 39.91/10.05 thf(633,plain,(((insert1671894227specID) = (^ [A:secrecy_specID]: (sup_su1712599557specID @ (insert1671894227specID @ A @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[114])). 39.91/10.05 thf(634,plain,(((insert1671894227specID) = (^ [A:secrecy_specID]: (sup_su1712599557specID @ (insert1671894227specID @ A @ bot_bo1785112429specID))))),inference(lifteq,[status(thm)],[633])). 39.91/10.05 thf(14,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_254_Un__empty__right)). 39.91/10.05 thf(307,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 39.91/10.05 thf(253,axiom,((! [A:secrecy_Keys,B:secrecy_specID]: (((~ (knowle945212990e_know @ B @ (secrecy_kKS @ A))) => ((knowle233900195orrect @ B @ (secrecy_kKS @ A)) => (~ (eout @ B @ (secrecy_kE @ A))))) <= (~ (member_Secrecy_Keys @ A @ (specKeys @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_340_not__know__k__not__eout)). 39.91/10.05 thf(1153,plain,((! [A:secrecy_Keys,B:secrecy_specID]: (((~ (knowle945212990e_know @ B @ (secrecy_kKS @ A))) => ((knowle233900195orrect @ B @ (secrecy_kKS @ A)) => (~ (eout @ B @ (secrecy_kE @ A))))) | (member_Secrecy_Keys @ A @ (specKeys @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[253])). 39.91/10.05 thf(86,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID,D:set_Secrecy_chanID]: (((~ (member1967978193chanID @ C @ D)) => (((insert751661162chanID @ A @ B) = (insert751661162chanID @ C @ D)) = (((B = D) <= (A = C)) & ((A != C) => (? [E:set_Secrecy_chanID]: ((B = (insert751661162chanID @ C @ E)) & ~ (member1967978193chanID @ C @ E) & (D = (insert751661162chanID @ A @ E)) & ~ (member1967978193chanID @ A @ E))))))) <= (~ (member1967978193chanID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_insert__eq__iff)). 39.91/10.05 thf(534,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID,D:set_Secrecy_chanID]: (((~ (member1967978193chanID @ C @ D)) => (((insert751661162chanID @ A @ B) = (insert751661162chanID @ C @ D)) = (((B = D) | ~ (A = C)) & ((~ (A = C)) => (? [E:set_Secrecy_chanID]: ((B = (insert751661162chanID @ C @ E)) & ~ (member1967978193chanID @ C @ E) & (D = (insert751661162chanID @ A @ E)) & ~ (member1967978193chanID @ A @ E))))))) | (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[86])). 39.91/10.05 thf(230,axiom,((! [A:secrecy_Expression]: (((! [B:secrecy_Secrets]: (A != (secrecy_sE @ B))) => ((! [B:nat]: (A != (secrecy_dE @ B))) => (~ (! [B:secrecy_specID]: (A != (secrecy_idE @ B)))))) <= (! [B:secrecy_Keys]: (A != (secrecy_kE @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_Expression_Oexhaust)). 39.91/10.05 thf(1067,plain,((! [A:secrecy_Expression]: (((! [B:secrecy_Secrets]: ~ (A = (secrecy_sE @ B))) => ((! [B:nat]: ~ (A = (secrecy_dE @ B))) => (~ (! [B:secrecy_specID]: ~ (A = (secrecy_idE @ B)))))) | ~ (! [B:secrecy_Keys]: ~ (A = (secrecy_kE @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[230])). 39.91/10.05 thf(225,axiom,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: (((((~ (ine @ D @ (secrecy_sE @ A))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ C))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ D))) => (ine @ C @ (secrecy_sE @ A))))) <= (correc965049635ionLoc @ B)) <= ((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID)))) <= (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_LocalSecretsComposition__ine1__s)). 39.91/10.05 thf(1047,plain,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: (((~ (ine @ D @ (secrecy_sE @ A))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ C))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ D))) => (ine @ C @ (secrecy_sE @ A))))) | ~ (correc965049635ionLoc @ B) | ~ ((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) | ~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[225])). 39.91/10.05 thf(217,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((eoutM @ A @ B @ C) => ((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correc990227761ionOut @ E) => ((~ (eoutM @ E @ B @ C)) <= (? [F:secrecy_chanID]: ((out_ex985543062Single @ A @ F @ C) & (member1967978193chanID @ F @ (loc @ E)) & (member1967978193chanID @ F @ B)))))) <= (~ (eoutM @ D @ B @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_TBtheorem5b__notP1)). 39.91/10.05 thf(1021,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((eoutM @ A @ B @ C) => ((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correc990227761ionOut @ E) => (~ (eoutM @ E @ B @ C) | ~ (? [F:secrecy_chanID]: ((out_ex985543062Single @ A @ F @ C) & (member1967978193chanID @ F @ (loc @ E)) & (member1967978193chanID @ F @ B)))))) | (eoutM @ D @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[217])). 39.91/10.05 thf(95,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_sup__bot_Oleft__neutral)). 39.91/10.05 thf(561,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[95])). 39.91/10.05 thf(41,axiom,((is_sin581274182chanID = (^ [A:set_Secrecy_chanID]: (A = (insert751661162chanID @ (the_el2054381829chanID @ A) @ bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_is__singleton__the__elem)). 39.91/10.05 thf(391,plain,(((is_sin581274182chanID) = (^ [A:set_Secrecy_chanID]: (A = (insert751661162chanID @ (the_el2054381829chanID @ A) @ bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 39.91/10.05 thf(392,plain,(((is_sin581274182chanID) = (^ [A:set_Secrecy_chanID]: (A = (insert751661162chanID @ (the_el2054381829chanID @ A) @ bot_bo443197316chanID))))),inference(lifteq,[status(thm)],[391])). 39.91/10.05 thf(10,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_Un__absorb)). 39.91/10.05 thf(297,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 39.91/10.05 thf(53,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_272_UnI2)). 39.91/10.05 thf(424,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)],[53])). 39.91/10.05 thf(273,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((((! [E:secrecy_Secrets]: ((D = (secrecy_sKS @ E)) => (~ (ine @ C @ (secrecy_sE @ E)) & ~ (ine @ B @ (secrecy_sE @ E))))) => (((~ (member_Secrecy_KS @ D @ (localSecrets @ C))) => (~ (member_Secrecy_KS @ D @ (localSecrets @ A)))) <= (~ (member_Secrecy_KS @ D @ (localSecrets @ B))))) <= (! [E:secrecy_Keys]: ((D = (secrecy_kKS @ E)) => (~ (ine @ B @ (secrecy_kE @ E)) & ~ (ine @ C @ (secrecy_kE @ E)))))) <= (correc965049635ionLoc @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_LocalSecretsComposition__neg1)). 39.91/10.05 thf(1238,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((! [E:secrecy_Secrets]: ((D = (secrecy_sKS @ E)) => (~ (ine @ C @ (secrecy_sE @ E)) & ~ (ine @ B @ (secrecy_sE @ E))))) => (((~ (member_Secrecy_KS @ D @ (localSecrets @ C))) => (~ (member_Secrecy_KS @ D @ (localSecrets @ A)))) | (member_Secrecy_KS @ D @ (localSecrets @ B)))) | ~ (! [E:secrecy_Keys]: ((D = (secrecy_kKS @ E)) => (~ (ine @ B @ (secrecy_kE @ E)) & ~ (ine @ C @ (secrecy_kE @ E))))) | ~ (correc965049635ionLoc @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[273])). 39.91/10.05 thf(140,axiom,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_empty__iff)). 39.91/10.05 thf(744,plain,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[140])). 39.91/10.05 thf(745,plain,((~ (? [A:secrecy_chanID]: (member1967978193chanID @ A @ bot_bo443197316chanID)))),inference(miniscope,[status(thm)],[744])). 39.91/10.05 thf(746,plain,(! [A:secrecy_chanID] : ((~ (member1967978193chanID @ A @ bot_bo443197316chanID)))),inference(cnf,[status(esa)],[745])). 39.91/10.05 thf(236,axiom,((! [A:secrecy_specID,B:secrecy_Secrets]: ((~ (knowle945212990e_know @ A @ (secrecy_sKS @ B))) => (~ (ine @ A @ (secrecy_sE @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_not__know__s__not__ine)). 39.91/10.05 thf(1091,plain,((! [A:secrecy_specID,B:secrecy_Secrets]: ((~ (knowle945212990e_know @ A @ (secrecy_sKS @ B))) => (~ (ine @ A @ (secrecy_sE @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[236])). 39.91/10.05 thf(246,axiom,((! [A:secrecy_Keys,B:secrecy_Secrets]: ((secrecy_kE @ A) != (secrecy_sE @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_Expression_Odistinct_I1_J)). 39.91/10.05 thf(1123,plain,((! [A:secrecy_Keys,B:secrecy_Secrets]: ~ ((secrecy_kE @ A) = (secrecy_sE @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[246])). 39.91/10.05 thf(170,axiom,((! [A:secrecy_Secrets,B:secrecy_specID]: ((~ (member2138796287ecrets @ A @ (specSecrets @ B))) => ((eout @ B @ (secrecy_sE @ A)) => ((knowle945212990e_know @ B @ (secrecy_sKS @ A)) <= (knowle233900195orrect @ B @ (secrecy_sKS @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_342_eout__know__nonKS__s)). 39.91/10.05 thf(862,plain,((! [A:secrecy_Secrets,B:secrecy_specID]: ((~ (member2138796287ecrets @ A @ (specSecrets @ B))) => ((eout @ B @ (secrecy_sE @ A)) => ((knowle945212990e_know @ B @ (secrecy_sKS @ A)) | ~ (knowle233900195orrect @ B @ (secrecy_sKS @ A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[170])). 39.91/10.05 thf(1,conjecture,((~ (ine @ pq @ (secrecy_kE @ key)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 39.91/10.05 thf(2,negated_conjecture,((~ (~ (ine @ pq @ (secrecy_kE @ key))))),inference(neg_conjecture,[status(cth)],[1])). 39.91/10.05 thf(274,plain,((~ (~ (ine @ pq @ (secrecy_kE @ key))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 39.91/10.05 thf(275,plain,((ine @ pq @ (secrecy_kE @ key))),inference(polarity_switch,[status(thm)],[274])). 39.91/10.05 thf(150,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ D @ (specKeysSecrets @ A))) => (~ (member_Secrecy_KS @ D @ (specKeysSecrets @ B)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_correctCompositionKS__negP)). 39.91/10.05 thf(788,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ D @ (specKeysSecrets @ A))) => (~ (member_Secrecy_KS @ D @ (specKeysSecrets @ B)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[150])). 39.91/10.05 thf(21,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = (insert751661162chanID @ C @ bot_bo443197316chanID)) = (((B = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (A = (insert751661162chanID @ C @ bot_bo443197316chanID))) | ((B = bot_bo443197316chanID) & (A = (insert751661162chanID @ C @ bot_bo443197316chanID))) | ((B = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (A = bot_bo443197316chanID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_292_Un__singleton__iff)). 39.91/10.05 thf(329,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = (insert751661162chanID @ C @ bot_bo443197316chanID)) = (((B = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (A = (insert751661162chanID @ C @ bot_bo443197316chanID))) | ((B = bot_bo443197316chanID) & (A = (insert751661162chanID @ C @ bot_bo443197316chanID))) | ((B = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (A = bot_bo443197316chanID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 39.91/10.05 thf(119,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 @ F) => (member1967978193chanID @ G @ (loc @ A))))) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ D) => (member1967978193chanID @ G @ (loc @ A))))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_TBtheorem5a__notPQ)). 39.91/10.05 thf(665,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 @ F) => (member1967978193chanID @ G @ (loc @ A)))) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ D) => (member1967978193chanID @ G @ (loc @ A))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[119])). 39.91/10.05 thf(160,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => ((~ (eout @ C @ B)) => (((correc990227761ionOut @ D) => ((? [E:secrecy_chanID]: ((out_ex985543062Single @ A @ E @ B) & (member1967978193chanID @ E @ (loc @ D)))) => (~ (eout @ D @ B)))) <= ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_TBtheorem5a__notP1)). 39.91/10.05 thf(830,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => ((~ (eout @ C @ B)) => (((correc990227761ionOut @ D) => ((? [E:secrecy_chanID]: ((out_ex985543062Single @ A @ E @ B) & (member1967978193chanID @ E @ (loc @ D)))) => (~ (eout @ D @ B)))) | ~ ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[160])). 39.91/10.05 thf(177,axiom,((sup_su1301156759ecy_KS = (^ [A:set_Secrecy_KS,B:set_Secrecy_KS]: (sup_su1301156759ecy_KS @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_Un__commute)). 39.91/10.05 thf(888,plain,(((sup_su1301156759ecy_KS) = (^ [A:set_Secrecy_KS,B:set_Secrecy_KS]: (sup_su1301156759ecy_KS @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[177])). 39.91/10.05 thf(889,plain,(((sup_su1301156759ecy_KS) = (^ [A:set_Secrecy_KS,B:set_Secrecy_KS]: (sup_su1301156759ecy_KS @ B @ A)))),inference(lifteq,[status(thm)],[888])). 39.91/10.05 thf(240,axiom,((notSpe1586871396tsExpr = (^ [A:secrecy_specID,B:list_S529945141ession]: (! [C:secrecy_Keys]: ((~ (member_Secrecy_KS @ (secrecy_kKS @ C) @ (specKeysSecrets @ A))) <= (mem_Se1967555118ession @ (secrecy_kE @ C) @ B)) & ! [C:secrecy_Secrets]: ((mem_Se1967555118ession @ (secrecy_sE @ C) @ B) => (~ (member_Secrecy_KS @ (secrecy_sKS @ C) @ (specKeysSecrets @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_notSpecKeysSecretsExpr__def)). 39.91/10.05 thf(1106,plain,(((notSpe1586871396tsExpr) = (^ [A:secrecy_specID,B:list_S529945141ession]: (! [C:secrecy_Keys]: (~ (member_Secrecy_KS @ (secrecy_kKS @ C) @ (specKeysSecrets @ A)) | ~ (mem_Se1967555118ession @ (secrecy_kE @ C) @ B)) & ! [C:secrecy_Secrets]: ((mem_Se1967555118ession @ (secrecy_sE @ C) @ B) => (~ (member_Secrecy_KS @ (secrecy_sKS @ C) @ (specKeysSecrets @ A)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[240])). 39.91/10.05 thf(92,axiom,((bot_bo443197316chanID = (collec625564175chanID @ bot_bo1012329985anID_o))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_bot__set__def)). 39.91/10.05 thf(553,plain,((bot_bo443197316chanID = (collec625564175chanID @ (bot_bo1012329985anID_o)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[92])). 39.91/10.05 thf(554,plain,(((collec625564175chanID @ (bot_bo1012329985anID_o)) = bot_bo443197316chanID)),inference(lifteq,[status(thm)],[553])). 39.91/10.05 thf(169,axiom,((bot_bo1012329985anID_o = (^ [A:secrecy_chanID]: (member1967978193chanID @ A @ bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_bot__empty__eq)). 39.91/10.05 thf(860,plain,(((bot_bo1012329985anID_o) = (^ [A:secrecy_chanID]: (member1967978193chanID @ A @ bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[169])). 39.91/10.05 thf(861,plain,(((^ [A:secrecy_chanID]: (member1967978193chanID @ A @ bot_bo443197316chanID)) = (bot_bo1012329985anID_o))),inference(lifteq,[status(thm)],[860])). 39.91/10.05 thf(1284,plain,(((bot_bo1012329985anID_o) = (^ [A:secrecy_chanID]: (($false))))),inference(rewrite,[status(thm)],[861,746])). 39.91/10.05 thf(1291,plain,(((collec625564175chanID @ (^ [A:secrecy_chanID]: (($false)))) = bot_bo443197316chanID)),inference(rewrite,[status(thm)],[554,1284])). 39.91/10.05 thf(130,axiom,((bot_bo2072920570Keys_o = (^ [A:secrecy_Keys]: (member_Secrecy_Keys @ A @ bot_bo701486667y_Keys)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_bot__empty__eq)). 39.91/10.05 thf(710,plain,(((bot_bo2072920570Keys_o) = (^ [A:secrecy_Keys]: (member_Secrecy_Keys @ A @ bot_bo701486667y_Keys)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[130])). 39.91/10.05 thf(20,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((~ (member1967978193chanID @ A @ B)) => (A = C)) => (member1967978193chanID @ A @ (insert751661162chanID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_insertCI)). 39.91/10.05 thf(324,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((~ (member1967978193chanID @ A @ B)) => (A = C)) => (member1967978193chanID @ A @ (insert751661162chanID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 39.91/10.05 thf(203,axiom,((! [A:secrecy_Keys,B:set_Secrecy_Keys,C:set_Secrecy_Keys]: ((member_Secrecy_Keys @ A @ (sup_su552545507y_Keys @ B @ C)) = ((member_Secrecy_Keys @ A @ C) | (member_Secrecy_Keys @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_Un__iff)). 39.91/10.05 thf(974,plain,((! [A:secrecy_Keys,B:set_Secrecy_Keys,C:set_Secrecy_Keys]: ((member_Secrecy_Keys @ A @ (sup_su552545507y_Keys @ B @ C)) = ((member_Secrecy_Keys @ A @ C) | (member_Secrecy_Keys @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[203])). 39.91/10.05 thf(100,axiom,((! [A:secrecy_chanID]: (is_sin581274182chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_is__singletonI)). 39.91/10.05 thf(578,plain,((! [A:secrecy_chanID]: (is_sin581274182chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[100])). 39.91/10.05 thf(242,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets]: ((((((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ B))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ C))) => (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))))) <= (~ (ine @ C @ (secrecy_sE @ D)))) <= (~ (ine @ B @ (secrecy_sE @ D)))) <= (correc965049635ionLoc @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_LocalSecretsComposition__neg1__s)). 39.91/10.05 thf(1111,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets]: (((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ B))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ C))) => (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))))) | (ine @ C @ (secrecy_sE @ D)) | (ine @ B @ (secrecy_sE @ D)) | ~ (correc965049635ionLoc @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[242])). 39.91/10.05 thf(46,axiom,((! [A:secrecy_chanID,B:secrecy_chanID]: (((insert751661162chanID @ A @ bot_bo443197316chanID) = (insert751661162chanID @ B @ bot_bo443197316chanID)) => (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_singleton__inject)). 39.91/10.05 thf(403,plain,((! [A:secrecy_chanID,B:secrecy_chanID]: (((insert751661162chanID @ A @ bot_bo443197316chanID) = (insert751661162chanID @ B @ bot_bo443197316chanID)) => (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])). 39.91/10.05 thf(40,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (sup_su370684444chanID @ B @ C)) <= (member1967978193chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_267_UnI1)). 39.91/10.05 thf(388,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (sup_su370684444chanID @ B @ C)) | ~ (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 39.91/10.05 thf(244,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((ine @ A @ B) => ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (ine @ D @ B)) <= (? [E:secrecy_chanID]: ((ine_ex1303305700Single @ A @ E @ B) & (member1967978193chanID @ E @ (loc @ D))))) <= (correctCompositionIn @ D))) <= (~ (ine @ C @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_TBtheorem4a__notP1)). 39.91/10.05 thf(1118,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((ine @ A @ B) => ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (~ (ine @ D @ B) | ~ (? [E:secrecy_chanID]: ((ine_ex1303305700Single @ A @ E @ B) & (member1967978193chanID @ E @ (loc @ D)))) | ~ (correctCompositionIn @ D))) | (ine @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[244])). 39.91/10.05 thf(173,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID,E:secrecy_Expression]: (((correctCompositionIn @ A) => ((member1967978193chanID @ D @ (ins @ B)) => (((member1967978193chanID @ D @ (loc @ A)) <= (! [F:secrecy_chanID]: ((~ (exprChannel @ F @ E)) <= (member1967978193chanID @ F @ (ins @ A))))) <= (exprChannel @ D @ E)))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_correctCompositionInLoc__exprChannel)). 39.91/10.05 thf(874,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID,E:secrecy_Expression]: (((correctCompositionIn @ A) => ((member1967978193chanID @ D @ (ins @ B)) => ((member1967978193chanID @ D @ (loc @ A)) | ~ (! [F:secrecy_chanID]: (~ (exprChannel @ F @ E) | ~ (member1967978193chanID @ F @ (ins @ A)))) | ~ (exprChannel @ D @ E)))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[173])). 39.91/10.05 thf(251,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correctCompositionIn @ C) => ((? [E:secrecy_chanID]: (~ (member1967978193chanID @ E @ (loc @ C)) & (exprChannel @ E @ B) & (member1967978193chanID @ E @ (ins @ A)))) => (ine @ C @ B)))) <= (ine @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_TBtheorem4a__P)). 39.91/10.05 thf(1143,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correctCompositionIn @ C) => ((? [E:secrecy_chanID]: (~ (member1967978193chanID @ E @ (loc @ C)) & (exprChannel @ E @ B) & (member1967978193chanID @ E @ (ins @ A)))) => (ine @ C @ B)))) | ~ (ine @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[251])). 39.91/10.05 thf(24,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (sup_su1712599557specID @ B @ C)) = ((member740727610specID @ A @ C) | (member740727610specID @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_Un__iff)). 39.91/10.05 thf(339,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((member740727610specID @ A @ (sup_su1712599557specID @ B @ C)) = ((member740727610specID @ A @ C) | (member740727610specID @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 39.91/10.05 thf(254,axiom,((! [A:secrecy_specID,B:secrecy_Keys]: ((knowle233900195orrect @ A @ (secrecy_kKS @ B)) = ((eout @ A @ (secrecy_kE @ B)) = ((member_Secrecy_Keys @ B @ (specKeys @ A)) | (knowle945212990e_know @ A @ (secrecy_kKS @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_341_eout__know__k)). 39.91/10.05 thf(1155,plain,((! [A:secrecy_specID,B:secrecy_Keys]: ((knowle233900195orrect @ A @ (secrecy_kKS @ B)) = ((eout @ A @ (secrecy_kE @ B)) = ((member_Secrecy_Keys @ B @ (specKeys @ A)) | (knowle945212990e_know @ A @ (secrecy_kKS @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[254])). 39.91/10.05 thf(1292,plain,(! [A:secrecy_chanID] : ((~ (bot_bo1012329985anID_o @ A)))),inference(func_ext,[status(esa)],[1284])). 39.91/10.05 thf(192,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ A) = (insert1671894227specID @ D @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => (((ineM @ E @ B @ C) | (ineM @ D @ B @ C)) <= (correctCompositionIn @ A))) <= (ineM @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_TBtheorem1b)). 39.91/10.05 thf(933,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ A) = (insert1671894227specID @ D @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => ((ineM @ E @ B @ C) | (ineM @ D @ B @ C) | ~ (correctCompositionIn @ A))) | ~ (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[192])). 39.91/10.05 thf(265,axiom,((~ (knowle945212990e_know @ p @ (secrecy_kKS @ key)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_assms_I1_J)). 39.91/10.05 thf(1207,plain,((~ (knowle945212990e_know @ p @ (secrecy_kKS @ key)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[265])). 39.91/10.05 thf(42,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_insertI1)). 39.91/10.05 thf(393,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])). 39.91/10.05 thf(711,plain,(((^ [A:secrecy_Keys]: (member_Secrecy_Keys @ A @ bot_bo701486667y_Keys)) = (bot_bo2072920570Keys_o))),inference(lifteq,[status(thm)],[710])). 39.91/10.05 thf(1262,plain,(((bot_bo2072920570Keys_o) = (^ [A:secrecy_Keys]: (($false))))),inference(rewrite,[status(thm)],[711,411])). 39.91/10.05 thf(1263,plain,(! [A:secrecy_Keys] : ((~ (bot_bo2072920570Keys_o @ A)))),inference(func_ext,[status(esa)],[1262])). 39.91/10.05 thf(127,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => (((correc990227761ionOut @ C) => ((eout @ C @ B) <= (? [E:secrecy_chanID]: (~ (member1967978193chanID @ E @ (loc @ C)) & (exprChannel @ E @ B) & (member1967978193chanID @ E @ (out @ A)))))) <= ((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_TBtheorem45a__P)). 39.91/10.05 thf(701,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => (((correc990227761ionOut @ C) => ((eout @ C @ B) | ~ (? [E:secrecy_chanID]: (~ (member1967978193chanID @ E @ (loc @ C)) & (exprChannel @ E @ B) & (member1967978193chanID @ E @ (out @ A)))))) | ~ ((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[127])). 39.91/10.05 thf(34,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_348_eoutM__def)). 39.91/10.05 thf(371,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)],[34])). 39.91/10.05 thf(77,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((((insert751661162chanID @ A @ B) = (insert751661162chanID @ A @ C)) = (B = C)) <= (~ (member1967978193chanID @ A @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_insert__ident)). 39.91/10.05 thf(503,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((((insert751661162chanID @ A @ B) = (insert751661162chanID @ A @ C)) = (B = C)) | (member1967978193chanID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[77])). 39.91/10.05 thf(206,axiom,((! [A:secrecy_chanID,B:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_singleton__iff)). 39.91/10.05 thf(984,plain,((! [A:secrecy_chanID,B:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[206])). 39.91/10.05 thf(184,axiom,((! [A:secrecy_KS,B:(secrecy_KS > $o)]: ((member_Secrecy_KS @ A @ (collect_Secrecy_KS @ B)) = (B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_mem__Collect__eq)). 39.91/10.05 thf(911,plain,((! [A:secrecy_KS,B:(secrecy_KS > $o)]: ((member_Secrecy_KS @ A @ (collect_Secrecy_KS @ (B))) = (B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[184])). 39.91/10.05 thf(151,axiom,((! [A:secrecy_Secrets,B:secrecy_Secrets]: (((secrecy_sE @ A) = (secrecy_sE @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_Expression_Oinject_I2_J)). 39.91/10.05 thf(792,plain,((! [A:secrecy_Secrets,B:secrecy_Secrets]: (((secrecy_sE @ A) = (secrecy_sE @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[151])). 39.91/10.05 thf(154,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((correctCompositionIn @ A) => ((~ (member1967978193chanID @ D @ (loc @ A))) => ((member1967978193chanID @ D @ (ins @ A)) <= (member1967978193chanID @ D @ (ins @ B))))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_correctCompositionIn__L1)). 39.91/10.05 thf(805,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((correctCompositionIn @ A) => ((~ (member1967978193chanID @ D @ (loc @ A))) => ((member1967978193chanID @ D @ (ins @ A)) | ~ (member1967978193chanID @ D @ (ins @ B))))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[154])). 39.91/10.05 thf(44,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_sup__bot_Oright__neutral)). 39.91/10.05 thf(398,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])). 39.91/10.05 thf(231,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: ((((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) => ((((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A))) => ((correctCompositionIn @ A) => ((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_kE @ D))))) <= (exprChannel @ E @ (secrecy_kE @ D))) <= (member1967978193chanID @ E @ (ins @ B)))) <= (correctCompositionKS @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_correctCompositionKS__exprChannel__k__P)). 39.91/10.05 thf(1071,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) => (((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A))) => ((correctCompositionIn @ A) => ((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_kE @ D))))) | ~ (exprChannel @ E @ (secrecy_kE @ D)) | ~ (member1967978193chanID @ E @ (ins @ B)))) | ~ (correctCompositionKS @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[231])). 39.91/10.05 thf(262,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((correctCompositionIn @ D) => ((ine @ D @ B) <= (? [E:secrecy_chanID]: (((member1967978193chanID @ E @ (ins @ C)) | (member1967978193chanID @ E @ (ins @ A))) & (exprChannel @ E @ B) & ~ (member1967978193chanID @ E @ (loc @ D)))))) <= ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID)))) <= ((ine @ A @ B) | (ine @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_TBtheorem4a__PQ)). 39.91/10.05 thf(1187,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((correctCompositionIn @ D) => ((ine @ D @ B) | ~ (? [E:secrecy_chanID]: (((member1967978193chanID @ E @ (ins @ C)) | (member1967978193chanID @ E @ (ins @ A))) & (exprChannel @ E @ B) & ~ (member1967978193chanID @ E @ (loc @ D)))))) | ~ ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) | ~ ((ine @ A @ B) | (ine @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[262])). 39.91/10.05 thf(146,axiom,((! [A:set_Secrecy_KS,B:set_Secrecy_KS,C:(secrecy_KS > $o)]: ((? [D:secrecy_KS]: ((C @ D) & (member_Secrecy_KS @ D @ (sup_su1301156759ecy_KS @ A @ B)))) = (? [D:secrecy_KS]: ((member_Secrecy_KS @ D @ B) & (C @ D)) | ? [D:secrecy_KS]: ((member_Secrecy_KS @ D @ A) & (C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_bex__Un)). 39.91/10.05 thf(773,plain,((! [A:set_Secrecy_KS,B:set_Secrecy_KS,C:(secrecy_KS > $o)]: ((? [D:secrecy_KS]: ((C @ D) & (member_Secrecy_KS @ D @ (sup_su1301156759ecy_KS @ A @ B)))) = (? [D:secrecy_KS]: ((member_Secrecy_KS @ D @ B) & (C @ D)) | ? [D:secrecy_KS]: ((member_Secrecy_KS @ D @ A) & (C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[146])). 39.91/10.05 thf(103,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ A) = (insert1671894227specID @ D @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => (((eoutM @ D @ B @ C) | (eoutM @ E @ B @ C)) <= (correc990227761ionOut @ A))) <= (eoutM @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_TBtheorem2b)). 39.91/10.05 thf(586,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ A) = (insert1671894227specID @ D @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => ((eoutM @ D @ B @ C) | (eoutM @ E @ B @ C) | ~ (correc990227761ionOut @ A))) | ~ (eoutM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[103])). 39.91/10.05 thf(118,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))) = (((A = C) & (B = D)) | ((B = C) & (A = D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_doubleton__eq__iff)). 39.91/10.05 thf(662,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))) = (((A = C) & (B = D)) | ((B = C) & (A = D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[118])). 39.91/10.05 thf(133,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionKS @ A) => ((((((correctCompositionIn @ A) => ((exprChannel @ E @ (secrecy_sE @ D)) & (member1967978193chanID @ E @ (ins @ A)))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A)))) <= (exprChannel @ E @ (secrecy_sE @ D))) <= (member1967978193chanID @ E @ (ins @ C))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_correctCompositionKS__exprChannel__s__Q)). 39.91/10.05 thf(718,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionKS @ A) => (((correctCompositionIn @ A) => ((exprChannel @ E @ (secrecy_sE @ D)) & (member1967978193chanID @ E @ (ins @ A)))) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A)) | ~ (exprChannel @ E @ (secrecy_sE @ D)) | ~ (member1967978193chanID @ E @ (ins @ C)) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[133])). 39.91/10.05 thf(49,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_242_Un__iff)). 39.91/10.05 thf(412,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)],[49])). 39.91/10.05 thf(142,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:set_Secrecy_chanID]: ((~ (eoutM @ A @ B @ C)) => (((((! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ D)) <= (member1967978193chanID @ G @ F))) => (~ (eoutM @ D @ B @ C))) <= (out_exprChannelSet @ E @ F @ C)) <= (correc990227761ionOut @ D)) <= ((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_TBtheorem5b__notP2)). 39.91/10.05 thf(750,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:set_Secrecy_chanID]: ((~ (eoutM @ A @ B @ C)) => (((! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ D)) | ~ (member1967978193chanID @ G @ F))) => (~ (eoutM @ D @ B @ C))) | ~ (out_exprChannelSet @ E @ F @ C) | ~ (correc990227761ionOut @ D) | ~ ((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[142])). 39.91/10.05 thf(55,axiom,((! [A:set_Secrecy_chanID]: ((is_sin581274182chanID @ A) => (~ (! [B:secrecy_chanID]: (A != (insert751661162chanID @ B @ bot_bo443197316chanID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_is__singletonE)). 39.91/10.05 thf(430,plain,((! [A:set_Secrecy_chanID]: ((is_sin581274182chanID @ A) => (~ (! [B:secrecy_chanID]: ~ (A = (insert751661162chanID @ B @ bot_bo443197316chanID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])). 39.91/10.05 thf(99,axiom,((! [A:set_Secrecy_Keys,B:secrecy_Keys]: ((A = bot_bo701486667y_Keys) => (~ (member_Secrecy_Keys @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_equals0D)). 39.91/10.05 thf(573,plain,((! [A:set_Secrecy_Keys,B:secrecy_Keys]: ((A = bot_bo701486667y_Keys) => (~ (member_Secrecy_Keys @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[99])). 39.91/10.05 thf(294,plain,((~ (? [A:secrecy_chanID,B:set_Secrecy_chanID]: ((insert751661162chanID @ A @ B) = bot_bo443197316chanID)))),inference(miniscope,[status(thm)],[293])). 39.91/10.05 thf(295,plain,(! [B:set_Secrecy_chanID,A:secrecy_chanID] : ((~ ((insert751661162chanID @ A @ B) = bot_bo443197316chanID)))),inference(cnf,[status(esa)],[294])). 39.91/10.05 thf(296,plain,(! [B:set_Secrecy_chanID,A:secrecy_chanID] : (((insert751661162chanID @ A @ B) != bot_bo443197316chanID))),inference(lifteq,[status(thm)],[295])). 39.91/10.05 thf(444,plain,(((is_sin581274182chanID) = (^ [A:set_Secrecy_chanID]: ? [B:secrecy_chanID]: (A = (insert751661162chanID @ B @ bot_bo443197316chanID))))),inference(lifteq,[status(thm)],[443])). 39.91/10.05 thf(137,axiom,((! [A:secrecy_Keys,B:(secrecy_Keys > $o)]: ((member_Secrecy_Keys @ A @ (collect_Secrecy_Keys @ B)) = (B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_mem__Collect__eq)). 39.91/10.05 thf(733,plain,((! [A:secrecy_Keys,B:(secrecy_Keys > $o)]: ((member_Secrecy_Keys @ A @ (collect_Secrecy_Keys @ (B))) = (B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[137])). 39.91/10.05 thf(269,axiom,((! [A:secrecy_specID,B:secrecy_Secrets]: ((knowle945212990e_know @ A @ (secrecy_sKS @ B)) = ((ine @ A @ (secrecy_sE @ B)) | (member_Secrecy_KS @ (secrecy_sKS @ B) @ (localSecrets @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_know_Osimps_I2_J)). 39.91/10.05 thf(1219,plain,((! [A:secrecy_specID,B:secrecy_Secrets]: ((knowle945212990e_know @ A @ (secrecy_sKS @ B)) = ((ine @ A @ (secrecy_sE @ B)) | (member_Secrecy_KS @ (secrecy_sKS @ B) @ (localSecrets @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[269])). 39.91/10.05 thf(158,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((((member1967978193chanID @ D @ (ins @ C)) | (member1967978193chanID @ D @ (ins @ B))) <= (member1967978193chanID @ D @ (ins @ A))) <= (correctCompositionIn @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_correctCompositionIn__L2)). 39.91/10.05 thf(824,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: ((member1967978193chanID @ D @ (ins @ C)) | (member1967978193chanID @ D @ (ins @ B)) | ~ (member1967978193chanID @ D @ (ins @ A)) | ~ (correctCompositionIn @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[158])). 39.91/10.05 thf(182,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Keys]: ((((? [D:secrecy_specID]: ((member_Secrecy_Keys @ C @ (specKeys @ D)) & (member740727610specID @ D @ (subcomponents @ A)))) <= (member_Secrecy_Keys @ C @ (specKeys @ A))) <= (member740727610specID @ B @ (subcomponents @ A))) <= (correctCompositionKS @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_320_correctCompositionKS__subcomp1)). 39.91/10.05 thf(904,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Keys]: (? [D:secrecy_specID]: ((member_Secrecy_Keys @ C @ (specKeys @ D)) & (member740727610specID @ D @ (subcomponents @ A))) | ~ (member_Secrecy_Keys @ C @ (specKeys @ A)) | ~ (member740727610specID @ B @ (subcomponents @ A)) | ~ (correctCompositionKS @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[182])). 39.91/10.05 thf(212,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_specID,D:secrecy_Expression]: ((((exprChannel @ A @ D) => (ineM @ C @ B @ D)) <= (member1967978193chanID @ A @ (ins @ C))) <= (member1967978193chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_ineM__L1)). 39.91/10.05 thf(1007,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_specID,D:secrecy_Expression]: (((exprChannel @ A @ D) => (ineM @ C @ B @ D)) | ~ (member1967978193chanID @ A @ (ins @ C)) | ~ (member1967978193chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[212])). 39.91/10.05 thf(285,plain,(! [B:set_Secrecy_chanID,A:set_Secrecy_chanID] : (((bot_bo443197316chanID = (sup_su370684444chanID @ A @ B)) = ((A = bot_bo443197316chanID) & (B = bot_bo443197316chanID))))),inference(cnf,[status(esa)],[284])). 39.91/10.05 thf(286,plain,(! [B:set_Secrecy_chanID,A:set_Secrecy_chanID] : (((bot_bo443197316chanID = (sup_su370684444chanID @ A @ B)) = ((A = bot_bo443197316chanID) & (B = bot_bo443197316chanID))))),inference(lifteq,[status(thm)],[285])). 39.91/10.05 thf(579,plain,(! [A:secrecy_chanID] : ((is_sin581274182chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),inference(cnf,[status(esa)],[578])). 39.91/10.05 thf(199,axiom,((! [A:secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_singletonI)). 39.91/10.05 thf(958,plain,((! [A:secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[199])). 39.91/10.05 thf(5,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_143_insertE)). 39.91/10.05 thf(281,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)],[5])). 39.91/10.05 thf(89,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))) | ((C = (insert751661162chanID @ A @ bot_bo443197316chanID)) & (B = (insert751661162chanID @ A @ bot_bo443197316chanID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_singleton__Un__iff)). 39.91/10.05 thf(545,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))) | ((C = (insert751661162chanID @ A @ bot_bo443197316chanID)) & (B = (insert751661162chanID @ A @ bot_bo443197316chanID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[89])). 39.91/10.05 thf(60,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((~ (member740727610specID @ A @ B)) => (A = C)) => (member740727610specID @ A @ (insert1671894227specID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_insertCI)). 39.91/10.05 thf(445,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((~ (member740727610specID @ A @ B)) => (A = C)) => (member740727610specID @ A @ (insert1671894227specID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])). 39.91/10.05 thf(38,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_263_UnI1)). 39.91/10.05 thf(382,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)],[38])). 39.91/10.05 thf(16,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_65_insert__iff)). 39.91/10.05 thf(313,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)],[16])). 39.91/10.05 thf(149,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_347_eout__def)). 39.91/10.05 thf(786,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)],[149])). 39.91/10.05 thf(787,plain,(((eout) = (^ [A:secrecy_specID,B:secrecy_Expression]: ? [C:secrecy_chanID]: ((member1967978193chanID @ C @ (out @ A)) & (exprChannel @ C @ B))))),inference(lifteq,[status(thm)],[786])). 39.91/10.05 thf(67,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_284_Un__left__absorb)). 39.91/10.05 thf(466,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)],[67])). 39.91/10.05 thf(187,axiom,((! [A:secrecy_specID]: ((the_el827131246specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_the__elem__eq)). 39.91/10.05 thf(919,plain,((! [A:secrecy_specID]: ((the_el827131246specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[187])). 39.91/10.05 thf(196,axiom,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) => (A = bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_equals0I)). 39.91/10.05 thf(947,plain,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) => (A = bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[196])). 39.91/10.05 thf(271,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (ine @ B @ (secrecy_kE @ D))) => ((~ (ine @ C @ (secrecy_kE @ D))) => (((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ C))) => (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A)))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ B)))))) <= (correc965049635ionLoc @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_LocalSecretsComposition__neg1__k)). 39.91/10.05 thf(1224,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (ine @ B @ (secrecy_kE @ D))) => ((~ (ine @ C @ (secrecy_kE @ D))) => (((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ C))) => (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A)))) | (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ B))))) | ~ (correc965049635ionLoc @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[271])). 39.91/10.05 thf(266,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets]: (((correc965049635ionLoc @ A) => (((((~ (ine @ B @ (secrecy_sE @ D))) => (((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C))))) <= (~ (ine @ C @ (secrecy_sE @ D))))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ C)))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ B)))) <= (correctCompositionKS @ A))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_LocalSecretsComposition__neg__s)). 39.91/10.05 thf(1209,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets]: (((correc965049635ionLoc @ A) => (((~ (ine @ B @ (secrecy_sE @ D))) => (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A)) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C))) | (ine @ C @ (secrecy_sE @ D)))) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ C)) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ B)) | ~ (correctCompositionKS @ A))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[266])). 39.91/10.05 thf(122,axiom,((! [A:secrecy_Secrets,B:nat]: ((secrecy_sE @ A) != (secrecy_dE @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_Expression_Odistinct_I7_J)). 39.91/10.05 thf(681,plain,((! [A:secrecy_Secrets,B:nat]: ~ ((secrecy_sE @ A) = (secrecy_dE @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[122])). 39.91/10.05 thf(138,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)) => ((((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ E)) & (member1967978193chanID @ F @ B) & (ine_ex1303305700Single @ A @ F @ C))) => (~ (ineM @ E @ B @ C))) <= (correctCompositionIn @ E)) <= ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_TBtheorem4b__notP1)). 39.91/10.05 thf(736,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)) => (((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ E)) & (member1967978193chanID @ F @ B) & (ine_ex1303305700Single @ A @ F @ C))) => (~ (ineM @ E @ B @ C))) | ~ (correctCompositionIn @ E) | ~ ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[138])). 39.91/10.05 thf(208,axiom,((! [A:set_Secrecy_Keys]: (((is_sin1096471309y_Keys @ A) <= (! [B:secrecy_Keys,C:secrecy_Keys]: ((member_Secrecy_Keys @ B @ A) => ((B = C) <= (member_Secrecy_Keys @ C @ A))))) <= (A != bot_bo701486667y_Keys)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_is__singletonI_H)). 39.91/10.05 thf(990,plain,((! [A:set_Secrecy_Keys]: ((is_sin1096471309y_Keys @ A) | ~ (! [B:secrecy_Keys,C:secrecy_Keys]: ((member_Secrecy_Keys @ B @ A) => ((B = C) | ~ (member_Secrecy_Keys @ C @ A)))) | (A = bot_bo701486667y_Keys)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[208])). 39.91/10.05 thf(107,axiom,((! [A:secrecy_specID,B:secrecy_Secrets]: ((knowle233900195orrect @ A @ (secrecy_sKS @ B)) = ((eout @ A @ (secrecy_sE @ B)) = ((member2138796287ecrets @ B @ (specSecrets @ A)) | (knowle945212990e_know @ A @ (secrecy_sKS @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_331_eout__know__s)). 39.91/10.05 thf(599,plain,((! [A:secrecy_specID,B:secrecy_Secrets]: ((knowle233900195orrect @ A @ (secrecy_sKS @ B)) = ((eout @ A @ (secrecy_sE @ B)) = ((member2138796287ecrets @ B @ (specSecrets @ A)) | (knowle945212990e_know @ A @ (secrecy_sKS @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[107])). 39.91/10.05 thf(258,axiom,((! [A:secrecy_Keys,B:nat]: ((secrecy_kE @ A) != (secrecy_dE @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_Expression_Odistinct_I3_J)). 39.91/10.05 thf(1175,plain,((! [A:secrecy_Keys,B:nat]: ~ ((secrecy_kE @ A) = (secrecy_dE @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[258])). 39.91/10.05 thf(181,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionKS @ A) => (((member_Secrecy_KS @ D @ (specKeysSecrets @ C)) | (member_Secrecy_KS @ D @ (specKeysSecrets @ B))) <= (member_Secrecy_KS @ D @ (specKeysSecrets @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_correctCompositionKS__PQ)). 39.91/10.05 thf(900,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionKS @ A) => ((member_Secrecy_KS @ D @ (specKeysSecrets @ C)) | (member_Secrecy_KS @ D @ (specKeysSecrets @ B)) | ~ (member_Secrecy_KS @ D @ (specKeysSecrets @ A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[181])). 39.91/10.05 thf(47,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((bot_bo1785112429specID = (sup_su1712599557specID @ A @ B)) = ((B = bot_bo1785112429specID) & (A = bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_sup__bot_Oneutr__eq__iff)). 39.91/10.05 thf(406,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: ((bot_bo1785112429specID = (sup_su1712599557specID @ A @ B)) = ((B = bot_bo1785112429specID) & (A = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])). 39.91/10.05 thf(31,axiom,((! [A:set_Secrecy_specID]: ((? [B:secrecy_specID]: (member740727610specID @ B @ A)) = (A != bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_ex__in__conv)). 39.91/10.05 thf(362,plain,((! [A:set_Secrecy_specID]: ((? [B:secrecy_specID]: (member740727610specID @ B @ A)) = (~ (A = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 39.91/10.05 thf(97,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_133_insertI2)). 39.91/10.05 thf(567,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)],[97])). 39.91/10.05 thf(223,axiom,((! [A:secrecy_Keys,B:secrecy_specID]: ((~ (member_Secrecy_Keys @ A @ (specKeys @ B))) => ((eout @ B @ (secrecy_kE @ A)) => ((knowle945212990e_know @ B @ (secrecy_kKS @ A)) <= (knowle233900195orrect @ B @ (secrecy_kKS @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_338_eout__know__nonKS__k)). 39.91/10.05 thf(1043,plain,((! [A:secrecy_Keys,B:secrecy_specID]: ((~ (member_Secrecy_Keys @ A @ (specKeys @ B))) => ((eout @ B @ (secrecy_kE @ A)) => ((knowle945212990e_know @ B @ (secrecy_kKS @ A)) | ~ (knowle233900195orrect @ B @ (secrecy_kKS @ A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[223])). 39.91/10.05 thf(56,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:set_Secrecy_chanID]: ((ineM @ A @ B @ C) => (ineM @ A @ (sup_su370684444chanID @ B @ D) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_317_ineM__Un1)). 39.91/10.05 thf(434,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:set_Secrecy_chanID]: ((ineM @ A @ B @ C) => (ineM @ A @ (sup_su370684444chanID @ B @ D) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 39.91/10.05 thf(12,axiom,((insert751661162chanID = (^ [A:secrecy_chanID]: (sup_su370684444chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_insert__is__Un)). 39.91/10.05 thf(303,plain,(((insert751661162chanID) = (^ [A:secrecy_chanID]: (sup_su370684444chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 39.91/10.05 thf(245,axiom,((correctCompositionIn @ pq)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I4_J)). 39.91/10.05 thf(1122,plain,((correctCompositionIn @ pq)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[245])). 39.91/10.05 thf(178,axiom,((! [A:secrecy_Secrets,B:secrecy_specID]: ((~ (member2138796287ecrets @ A @ (specSecrets @ B))) => ((~ (knowle945212990e_know @ B @ (secrecy_sKS @ A))) => ((~ (eout @ B @ (secrecy_sE @ A))) <= (knowle233900195orrect @ B @ (secrecy_sKS @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_332_not__know__s__not__eout)). 39.91/10.05 thf(890,plain,((! [A:secrecy_Secrets,B:secrecy_specID]: ((~ (member2138796287ecrets @ A @ (specSecrets @ B))) => ((~ (knowle945212990e_know @ B @ (secrecy_sKS @ A))) => (~ (eout @ B @ (secrecy_sE @ A)) | ~ (knowle233900195orrect @ B @ (secrecy_sKS @ A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[178])). 39.91/10.05 thf(74,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_304_sup__bot_Oleft__neutral)). 39.91/10.05 thf(494,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[74])). 39.91/10.05 thf(26,axiom,((! [A:secrecy_chanID,B:(secrecy_chanID > $o)]: ((member1967978193chanID @ A @ (collec625564175chanID @ B)) = (B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_mem__Collect__eq)). 39.91/10.05 thf(345,plain,((! [A:secrecy_chanID,B:(secrecy_chanID > $o)]: ((member1967978193chanID @ A @ (collec625564175chanID @ (B))) = (B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 39.91/10.05 thf(110,axiom,((! [A:secrecy_Keys,B:secrecy_Secrets]: ((secrecy_kKS @ A) != (secrecy_sKS @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_KS_Odistinct_I1_J)). 39.91/10.05 thf(609,plain,((! [A:secrecy_Keys,B:secrecy_Secrets]: ~ ((secrecy_kKS @ A) = (secrecy_sKS @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[110])). 39.91/10.05 thf(72,axiom,((! [A:set_Secrecy_specID]: ((A != bot_bo1785112429specID) => ((! [B:secrecy_specID,C:secrecy_specID]: (((B = C) <= (member740727610specID @ C @ A)) <= (member740727610specID @ B @ A))) => (is_sin1501507247specID @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_is__singletonI_H)). 39.91/10.05 thf(483,plain,((! [A:set_Secrecy_specID]: ((~ (A = bot_bo1785112429specID)) => ((! [B:secrecy_specID,C:secrecy_specID]: ((B = C) | ~ (member740727610specID @ C @ A) | ~ (member740727610specID @ B @ A))) => (is_sin1501507247specID @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[72])). 39.91/10.05 thf(82,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_245_Un__empty)). 39.91/10.05 thf(520,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)],[82])). 39.91/10.05 thf(228,axiom,((! [A:secrecy_chanID,B:secrecy_Keys,C:secrecy_specID,D:secrecy_specID]: ((exprChannel @ A @ (secrecy_kE @ B)) => (((~ (ine @ D @ (secrecy_kE @ B))) => (~ (member1967978193chanID @ A @ (ins @ C)) & ~ (member1967978193chanID @ A @ (ins @ D)))) <= (~ (ine @ C @ (secrecy_kE @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_LocalSecretsComposition__exprChannel__k)). 39.91/10.05 thf(1061,plain,((! [A:secrecy_chanID,B:secrecy_Keys,C:secrecy_specID,D:secrecy_specID]: ((exprChannel @ A @ (secrecy_kE @ B)) => (((~ (ine @ D @ (secrecy_kE @ B))) => (~ (member1967978193chanID @ A @ (ins @ C)) & ~ (member1967978193chanID @ A @ (ins @ D)))) | (ine @ C @ (secrecy_kE @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[228])). 39.91/10.05 thf(123,axiom,((! [A:secrecy_Keys,B:set_Secrecy_Keys,C:set_Secrecy_Keys]: ((member_Secrecy_Keys @ A @ (sup_su552545507y_Keys @ C @ B)) <= ((~ (member_Secrecy_Keys @ A @ B)) => (member_Secrecy_Keys @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_UnCI)). 39.91/10.05 thf(685,plain,((! [A:secrecy_Keys,B:set_Secrecy_Keys,C:set_Secrecy_Keys]: ((member_Secrecy_Keys @ A @ (sup_su552545507y_Keys @ C @ B)) | ~ ((~ (member_Secrecy_Keys @ A @ B)) => (member_Secrecy_Keys @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[123])). 39.91/10.05 thf(267,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((ine @ A @ C) <= (ineM @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_ineM__ine)). 39.91/10.05 thf(1213,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ((ine @ A @ C) | ~ (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[267])). 39.91/10.05 thf(126,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:set_Secrecy_chanID]: ((~ (ineM @ A @ B @ C)) => (((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => ((((! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ D)) <= (member1967978193chanID @ G @ F))) => (~ (ineM @ D @ B @ C))) <= (ine_exprChannelSet @ E @ F @ C)) <= (correctCompositionIn @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_TBtheorem4b__notP2)). 39.91/10.05 thf(695,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:set_Secrecy_chanID]: ((~ (ineM @ A @ B @ C)) => (((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => (((! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ D)) | ~ (member1967978193chanID @ G @ F))) => (~ (ineM @ D @ B @ C))) | ~ (ine_exprChannelSet @ E @ F @ C) | ~ (correctCompositionIn @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[126])). 39.91/10.05 thf(277,plain,(! [A:secrecy_chanID] : (((the_el2054381829chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)) = A))),inference(cnf,[status(esa)],[276])). 39.91/10.05 thf(278,plain,(! [A:secrecy_chanID] : (((the_el2054381829chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID)) = A))),inference(lifteq,[status(thm)],[277])). 39.91/10.05 thf(63,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_286_Un__left__commute)). 39.91/10.05 thf(455,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)],[63])). 39.91/10.05 thf(215,axiom,((! [A:set_Secrecy_KS,B:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ (sup_su1301156759ecy_KS @ A @ B)) = (sup_su1301156759ecy_KS @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_Un__left__absorb)). 39.91/10.05 thf(1015,plain,((! [A:set_Secrecy_KS,B:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ (sup_su1301156759ecy_KS @ A @ B)) = (sup_su1301156759ecy_KS @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[215])). 39.91/10.05 thf(167,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C)) <= (member_Secrecy_KS @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_UnI1)). 39.91/10.05 thf(851,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C)) | ~ (member_Secrecy_KS @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[167])). 39.91/10.05 thf(188,axiom,((ine_ex1303305700Single = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID,E:nat]: (((D != B) & (member1967978193chanID @ D @ (ins @ A))) => (~ (exprChannel @ D @ C))) & (exprChannel @ B @ C) & (member1967978193chanID @ B @ (ins @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_ine__exprChannelSingle__def)). 39.91/10.05 thf(922,plain,(((ine_ex1303305700Single) = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: ((~ (D = B) & (member1967978193chanID @ D @ (ins @ A))) => (~ (exprChannel @ D @ C))) & (exprChannel @ B @ C) & (member1967978193chanID @ B @ (ins @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[188])). 39.91/10.05 thf(120,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: (((~ (member_Secrecy_KS @ A @ B)) => (member_Secrecy_KS @ A @ C)) <= (member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_UnE)). 39.91/10.05 thf(675,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: (((~ (member_Secrecy_KS @ A @ B)) => (member_Secrecy_KS @ A @ C)) | ~ (member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[120])). 39.91/10.05 thf(1208,plain,((~ (knowle945212990e_know @ p @ (secrecy_kKS @ key)))),inference(polarity_switch,[status(thm)],[1207])). 39.91/10.05 thf(152,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) => (((exprChannel @ E @ (secrecy_sE @ D)) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A))) => ((correctCompositionIn @ A) => ((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_sE @ D)))))) <= (member1967978193chanID @ E @ (ins @ B)))) <= (correctCompositionKS @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_correctCompositionKS__exprChannel__s__P)). 39.91/10.05 thf(795,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) => (((exprChannel @ E @ (secrecy_sE @ D)) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A))) => ((correctCompositionIn @ A) => ((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_sE @ D)))))) | ~ (member1967978193chanID @ E @ (ins @ B)))) | ~ (correctCompositionKS @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[152])). 39.91/10.05 thf(90,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_328_out__exprChannelSingle__Set)). 39.91/10.05 thf(548,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)],[90])). 39.91/10.05 thf(190,axiom,((! [A:secrecy_specID,B:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_singleton__iff)). 39.91/10.05 thf(927,plain,((! [A:secrecy_specID,B:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[190])). 39.91/10.05 thf(156,axiom,((! [A:secrecy_Keys,B:set_Secrecy_Keys,C:set_Secrecy_Keys]: ((member_Secrecy_Keys @ A @ (sup_su552545507y_Keys @ B @ C)) => ((member_Secrecy_Keys @ A @ C) <= (~ (member_Secrecy_Keys @ A @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_259_UnE)). 39.91/10.05 thf(812,plain,((! [A:secrecy_Keys,B:set_Secrecy_Keys,C:set_Secrecy_Keys]: ((member_Secrecy_Keys @ A @ (sup_su552545507y_Keys @ B @ C)) => ((member_Secrecy_Keys @ A @ C) | (member_Secrecy_Keys @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[156])). 39.91/10.05 thf(233,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((ine @ A @ B) => (((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => (((ine @ C @ B) | (ine @ D @ B)) <= (correctCompositionIn @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_TBtheorem1a)). 39.91/10.05 thf(1081,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((ine @ A @ B) => (((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((ine @ C @ B) | (ine @ D @ B) | ~ (correctCompositionIn @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[233])). 39.91/10.05 thf(25,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]: ((member1967978193chanID @ D @ B) & (C @ D)) | ? [D:secrecy_chanID]: ((member1967978193chanID @ D @ A) & (C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_bex__Un)). 39.91/10.05 thf(342,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]: ((member1967978193chanID @ D @ B) & (C @ D)) | ? [D:secrecy_chanID]: ((member1967978193chanID @ D @ A) & (C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 39.91/10.05 thf(216,axiom,((! [A:secrecy_specID,B:secrecy_specID]: ((A = B) <= ((insert1671894227specID @ A @ bot_bo1785112429specID) = (insert1671894227specID @ B @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_singleton__inject)). 39.91/10.05 thf(1018,plain,((! [A:secrecy_specID,B:secrecy_specID]: ((A = B) | ~ ((insert1671894227specID @ A @ bot_bo1785112429specID) = (insert1671894227specID @ B @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[216])). 39.91/10.05 thf(29,axiom,((! [A:set_Secrecy_specID]: ((! [B:secrecy_specID]: ~ (member740727610specID @ B @ A)) => (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_equals0I)). 39.91/10.05 thf(355,plain,((! [A:set_Secrecy_specID]: ((! [B:secrecy_specID]: ~ (member740727610specID @ B @ A)) => (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 39.91/10.05 thf(162,axiom,((! [A:secrecy_Secrets]: ((secrec1016742679ession @ (secrecy_sKS @ A)) = (secrecy_sE @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_KS2Expression_Osimps_I2_J)). 39.91/10.05 thf(836,plain,((! [A:secrecy_Secrets]: ((secrec1016742679ession @ (secrecy_sKS @ A)) = (secrecy_sE @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[162])). 39.91/10.05 thf(85,axiom,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_emptyE)). 39.91/10.05 thf(531,plain,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[85])). 39.91/10.05 thf(195,axiom,((! [A:(secrecy_chanID > $o)]: (((collec625564175chanID @ A) = bot_bo443197316chanID) = (! [B:secrecy_chanID]: ~ (A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_Collect__empty__eq)). 39.91/10.05 thf(944,plain,((! [A:(secrecy_chanID > $o)]: (((collec625564175chanID @ (A)) = bot_bo443197316chanID) = (! [B:secrecy_chanID]: ~ (A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[195])). 39.91/10.05 thf(249,axiom,((! [A:secrecy_specID,B:secrecy_Keys]: ((knowle945212990e_know @ A @ (secrecy_kKS @ B)) = ((member_Secrecy_KS @ (secrecy_kKS @ B) @ (localSecrets @ A)) | (ine @ A @ (secrecy_kE @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_know_Osimps_I1_J)). 39.91/10.05 thf(1134,plain,((! [A:secrecy_specID,B:secrecy_Keys]: ((knowle945212990e_know @ A @ (secrecy_kKS @ B)) = ((member_Secrecy_KS @ (secrecy_kKS @ B) @ (localSecrets @ A)) | (ine @ A @ (secrecy_kE @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[249])). 39.91/10.05 thf(117,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)) => (((~ (eoutM @ A @ G @ E)) <= (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ F) => (member1967978193chanID @ H @ (loc @ A))))) <= (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ D) => (member1967978193chanID @ H @ (loc @ A))))))) <= (out_exprChannelSet @ B @ D @ E)) <= (correc990227761ionOut @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_TBtheorem5b__notPQ)). 39.91/10.05 thf(648,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)) => (~ (eoutM @ A @ G @ E) | ~ (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ F) => (member1967978193chanID @ H @ (loc @ A)))) | ~ (! [H:secrecy_chanID]: ((member1967978193chanID @ H @ D) => (member1967978193chanID @ H @ (loc @ A))))))) | ~ (out_exprChannelSet @ B @ D @ E) | ~ (correc990227761ionOut @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[117])). 39.91/10.05 thf(64,axiom,((out_exprChannelSet = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: (((member1967978193chanID @ D @ (out @ A)) & (exprChannel @ D @ C)) <= (member1967978193chanID @ D @ B)) & ! [D:secrecy_chanID]: (((member1967978193chanID @ D @ (out @ A)) & ~ (member1967978193chanID @ D @ B)) => (~ (exprChannel @ D @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_out__exprChannelSet__def)). 39.91/10.05 thf(458,plain,(((out_exprChannelSet) = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: (((member1967978193chanID @ D @ (out @ A)) & (exprChannel @ D @ C)) | ~ (member1967978193chanID @ D @ B)) & ! [D:secrecy_chanID]: (((member1967978193chanID @ D @ (out @ A)) & ~ (member1967978193chanID @ D @ B)) => (~ (exprChannel @ D @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])). 39.91/10.05 thf(260,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_chanID]: (((exprChannel @ C @ B) => (~ (member1967978193chanID @ C @ (ins @ A)))) <= (~ (ine @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_ine__ins__neg1)). 39.91/10.05 thf(1181,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_chanID]: (((exprChannel @ C @ B) => (~ (member1967978193chanID @ C @ (ins @ A)))) | (ine @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[260])). 39.91/10.05 thf(147,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((((loc @ D) = bot_bo443197316chanID) => (eout @ D @ B)) <= (correc990227761ionOut @ D)) <= ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID)))) <= ((eout @ A @ B) | (eout @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_319_TBtheorem5a__empty)). 39.91/10.05 thf(776,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((loc @ D) = bot_bo443197316chanID) => (eout @ D @ B)) | ~ (correc990227761ionOut @ D) | ~ ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) | ~ ((eout @ A @ B) | (eout @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[147])). 39.91/10.05 thf(131,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (member_Secrecy_KS @ D @ (specKeysSecrets @ A))) => (~ (member_Secrecy_KS @ D @ (specKeysSecrets @ C)))) <= (correctCompositionKS @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_correctCompositionKS__negQ)). 39.91/10.05 thf(712,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((~ (member_Secrecy_KS @ D @ (specKeysSecrets @ A))) => (~ (member_Secrecy_KS @ D @ (specKeysSecrets @ C)))) | ~ (correctCompositionKS @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[131])). 39.91/10.05 thf(101,axiom,((out_ex985543062Single = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((member1967978193chanID @ B @ (out @ A)) & ! [D:secrecy_chanID,E:nat]: (((member1967978193chanID @ D @ (out @ A)) & (D != B)) => (~ (exprChannel @ D @ C))) & (exprChannel @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_350_out__exprChannelSingle__def)). 39.91/10.05 thf(580,plain,(((out_ex985543062Single) = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((member1967978193chanID @ B @ (out @ A)) & ! [D:secrecy_chanID]: (((member1967978193chanID @ D @ (out @ A)) & ~ (D = B)) => (~ (exprChannel @ D @ C))) & (exprChannel @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[101])). 39.91/10.05 thf(218,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID,E:set_Secrecy_chanID]: ((~ (eout @ A @ B)) => (((subcomponents @ C) = (insert1671894227specID @ D @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => ((correc990227761ionOut @ C) => ((out_exprChannelSet @ D @ E @ B) => ((! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ C)) <= (member1967978193chanID @ F @ E))) => (~ (eout @ C @ B))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_TBtheorem5a__notP2)). 39.91/10.05 thf(1025,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID,E:set_Secrecy_chanID]: ((~ (eout @ A @ B)) => (((subcomponents @ C) = (insert1671894227specID @ D @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => ((correc990227761ionOut @ C) => ((out_exprChannelSet @ D @ E @ B) => ((! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ C)) | ~ (member1967978193chanID @ F @ E))) => (~ (eout @ C @ B))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[218])). 39.91/10.05 thf(128,axiom,((! [A:secrecy_Keys,B:secrecy_Keys]: (((secrecy_kKS @ A) = (secrecy_kKS @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_KS_Oinject_I1_J)). 39.91/10.05 thf(705,plain,((! [A:secrecy_Keys,B:secrecy_Keys]: (((secrecy_kKS @ A) = (secrecy_kKS @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[128])). 39.91/10.05 thf(202,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ C @ B)) <= ((member_Secrecy_KS @ A @ C) <= (~ (member_Secrecy_KS @ A @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_UnCI)). 39.91/10.05 thf(971,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ C @ B)) | ~ ((member_Secrecy_KS @ A @ C) | (member_Secrecy_KS @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[202])). 39.91/10.05 thf(15,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_249_Un__insert__left)). 39.91/10.05 thf(310,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)],[15])). 39.91/10.05 thf(66,axiom,((! [A:set_Secrecy_specID]: ((! [B:secrecy_specID]: ~ (member740727610specID @ B @ A)) = (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_all__not__in__conv)). 39.91/10.05 thf(463,plain,((! [A:set_Secrecy_specID]: ((! [B:secrecy_specID]: ~ (member740727610specID @ B @ A)) = (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])). 39.91/10.05 thf(1304,plain,(! [B:set_Secrecy_chanID,A:set_Secrecy_chanID] : ((bot_bo443197316chanID = (sup_su370684444chanID @ A @ B)) | (~ ((A = bot_bo443197316chanID) & (B = bot_bo443197316chanID))))),inference(bool_ext,[status(thm)],[286])). 39.91/10.05 thf(1308,plain,(! [B:set_Secrecy_chanID,A:set_Secrecy_chanID] : (((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID) | (~ ((A = bot_bo443197316chanID) & (B = bot_bo443197316chanID))))),inference(lifteq,[status(thm)],[1304])). 39.91/10.05 thf(1315,plain,(! [B:set_Secrecy_chanID,A:set_Secrecy_chanID] : ((~ (A = bot_bo443197316chanID)) | (~ (B = bot_bo443197316chanID)) | ((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID))),inference(cnf,[status(esa)],[1308])). 39.91/10.05 thf(1316,plain,(! [B:set_Secrecy_chanID,A:set_Secrecy_chanID] : ((A != bot_bo443197316chanID) | (B != bot_bo443197316chanID) | ((sup_su370684444chanID @ A @ B) = bot_bo443197316chanID))),inference(lifteq,[status(thm)],[1315])). 39.91/10.05 thf(1317,plain,(((sup_su370684444chanID @ bot_bo443197316chanID @ bot_bo443197316chanID) = bot_bo443197316chanID)),inference(simp,[status(thm)],[1316])). 39.91/10.05 thf(234,axiom,((! [A:secrecy_specID,B:secrecy_Keys]: ((knowle233900195orrect @ A @ (secrecy_kKS @ B)) => (((knowle945212990e_know @ A @ (secrecy_kKS @ B)) | (member_Secrecy_Keys @ B @ (specKeys @ A))) <= (eout @ A @ (secrecy_kE @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_339_eoutKnowCorrect__L1k)). 39.91/10.05 thf(1085,plain,((! [A:secrecy_specID,B:secrecy_Keys]: ((knowle233900195orrect @ A @ (secrecy_kKS @ B)) => ((knowle945212990e_know @ A @ (secrecy_kKS @ B)) | (member_Secrecy_Keys @ B @ (specKeys @ A)) | ~ (eout @ A @ (secrecy_kE @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[234])). 39.91/10.05 thf(197,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => (((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => (((eout @ C @ B) | (eout @ D @ B)) <= (correc990227761ionOut @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_TBtheorem2a)). 39.91/10.05 thf(951,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => (((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((eout @ C @ B) | (eout @ D @ B) | ~ (correc990227761ionOut @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[197])). 39.91/10.05 thf(30,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_233_UnCI)). 39.91/10.05 thf(359,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)],[30])). 39.91/10.05 thf(248,axiom,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => (((~ (ine @ C @ (secrecy_sE @ A))) => (((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ D))) => (ine @ D @ (secrecy_sE @ A))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ C))))) <= (correc965049635ionLoc @ B))) <= (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_LocalSecretsComposition__ine2__s)). 39.91/10.05 thf(1130,plain,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => (((~ (ine @ C @ (secrecy_sE @ A))) => (((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ D))) => (ine @ D @ (secrecy_sE @ A))) | (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ C)))) | ~ (correc965049635ionLoc @ B))) | ~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[248])). 39.91/10.05 thf(23,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:set_Secrecy_chanID]: ((~ (eout @ A @ B)) => (~ (eoutM @ A @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_334_not__eout__eoutM)). 39.91/10.05 thf(336,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:set_Secrecy_chanID]: ((~ (eout @ A @ B)) => (~ (eoutM @ A @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 39.91/10.05 thf(111,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: ((((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) => ((member1967978193chanID @ E @ (ins @ C)) => ((exprChannel @ E @ (secrecy_sE @ D)) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A))) => ((correctCompositionIn @ A) => (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) & (exprChannel @ F @ (secrecy_sE @ D))))))))) <= (correctCompositionKS @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_correctCompositionKS__exprChannel__s__Qex)). 39.91/10.05 thf(613,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) => ((member1967978193chanID @ E @ (ins @ C)) => ((exprChannel @ E @ (secrecy_sE @ D)) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A))) => ((correctCompositionIn @ A) => (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) & (exprChannel @ F @ (secrecy_sE @ D))))))))) | ~ (correctCompositionKS @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[111])). 39.91/10.05 thf(171,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) => (((((? [F:secrecy_chanID]: ((exprChannel @ F @ (secrecy_sE @ D)) & (member1967978193chanID @ F @ (ins @ A)))) <= (correctCompositionIn @ A)) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A)))) <= (exprChannel @ E @ (secrecy_sE @ D))) <= (member1967978193chanID @ E @ (ins @ B))))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_correctCompositionKS__exprChannel__s__Pex)). 39.91/10.05 thf(864,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) => (? [F:secrecy_chanID]: ((exprChannel @ F @ (secrecy_sE @ D)) & (member1967978193chanID @ F @ (ins @ A))) | ~ (correctCompositionIn @ A) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A)) | ~ (exprChannel @ E @ (secrecy_sE @ D)) | ~ (member1967978193chanID @ E @ (ins @ B))))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[171])). 39.91/10.05 thf(135,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((insert1671894227specID @ A @ (insert1671894227specID @ A @ B)) = (insert1671894227specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_insert__absorb2)). 39.91/10.05 thf(727,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((insert1671894227specID @ A @ (insert1671894227specID @ A @ B)) = (insert1671894227specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[135])). 39.91/10.05 thf(75,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: (((sup_su1712599557specID @ A @ B) = bot_bo1785112429specID) = ((B = bot_bo1785112429specID) & (A = bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_Un__empty)). 39.91/10.05 thf(497,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID]: (((sup_su1712599557specID @ A @ B) = bot_bo1785112429specID) = ((B = bot_bo1785112429specID) & (A = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[75])). 39.91/10.05 thf(165,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((correc990227761ionOut @ A) => ((member1967978193chanID @ D @ (out @ A)) => ((member1967978193chanID @ D @ (out @ B)) | (member1967978193chanID @ D @ (out @ C))))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_351_correctCompositionOut__prop1)). 39.91/10.05 thf(845,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((correc990227761ionOut @ A) => ((member1967978193chanID @ D @ (out @ A)) => ((member1967978193chanID @ D @ (out @ B)) | (member1967978193chanID @ D @ (out @ C))))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[165])). 39.91/10.05 thf(61,axiom,((! [A:secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ C)) = ((member1967978193chanID @ A @ C) | (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_insert__iff)). 39.91/10.05 thf(450,plain,((! [A:secrecy_chanID,B:secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ C)) = ((member1967978193chanID @ A @ C) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])). 39.91/10.05 thf(1180,plain,(((ine) = (^ [A:secrecy_specID,B:secrecy_Expression]: ? [C:secrecy_chanID]: ((member1967978193chanID @ C @ (ins @ A)) & (exprChannel @ C @ B))))),inference(lifteq,[status(thm)],[1179])). 39.91/10.05 thf(124,axiom,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) = (A = bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_all__not__in__conv)). 39.91/10.05 thf(688,plain,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) = (A = bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[124])). 39.91/10.05 thf(213,axiom,((! [A:set_Secrecy_KS]: ((collect_Secrecy_KS @ (^ [B:secrecy_KS]: (member_Secrecy_KS @ B @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_Collect__mem__eq)). 39.91/10.05 thf(1010,plain,((! [A:set_Secrecy_KS]: ((collect_Secrecy_KS @ (^ [B:secrecy_KS]: (member_Secrecy_KS @ B @ A))) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[213])). 39.91/10.05 thf(33,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_Un__empty__right)). 39.91/10.05 thf(368,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 39.91/10.05 thf(241,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_11_not__ine__ineM)). 39.91/10.05 thf(1108,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)],[241])). 39.91/10.05 thf(18,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_sup__bot__left)). 39.91/10.05 thf(319,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 39.91/10.05 thf(304,plain,(((insert751661162chanID) = (^ [A:secrecy_chanID]: (sup_su370684444chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID))))),inference(lifteq,[status(thm)],[303])). 39.91/10.05 thf(45,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_262_UnE)). 39.91/10.05 thf(401,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)],[45])). 39.91/10.05 thf(201,axiom,((! [A:set_Secrecy_chanID]: (((is_sin581274182chanID @ A) <= (! [B:secrecy_chanID,C:secrecy_chanID]: (((member1967978193chanID @ C @ A) => (B = C)) <= (member1967978193chanID @ B @ A)))) <= (A != bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_is__singletonI_H)). 39.91/10.05 thf(963,plain,((! [A:set_Secrecy_chanID]: ((is_sin581274182chanID @ A) | ~ (! [B:secrecy_chanID,C:secrecy_chanID]: (((member1967978193chanID @ C @ A) => (B = C)) | ~ (member1967978193chanID @ B @ A))) | (A = bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[201])). 39.91/10.05 thf(81,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_251_Un__insert__left)). 39.91/10.05 thf(517,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)],[81])). 39.91/10.05 thf(51,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_246_Un__insert__right)). 39.91/10.05 thf(418,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)],[51])). 39.91/10.05 thf(232,axiom,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correc965049635ionLoc @ B) => ((~ (ine @ D @ (secrecy_kE @ A))) => (((~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ D))) => (ine @ C @ (secrecy_kE @ A))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ C))))))) <= (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_LocalSecretsComposition__ine1__k)). 39.91/10.05 thf(1077,plain,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correc965049635ionLoc @ B) => ((~ (ine @ D @ (secrecy_kE @ A))) => (((~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ D))) => (ine @ C @ (secrecy_kE @ A))) | (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ C)))))) | ~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[232])). 39.91/10.05 thf(145,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((eout @ A @ B) | (eout @ C @ B)) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((? [E:secrecy_chanID]: (((member1967978193chanID @ E @ (out @ A)) | (member1967978193chanID @ E @ (out @ C))) & (exprChannel @ E @ B) & ~ (member1967978193chanID @ E @ (loc @ D)))) => (eout @ D @ B)) <= (correc990227761ionOut @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_352_TBtheorem5a__PQ)). 39.91/10.05 thf(763,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((eout @ A @ B) | (eout @ C @ B)) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((? [E:secrecy_chanID]: (((member1967978193chanID @ E @ (out @ A)) | (member1967978193chanID @ E @ (out @ C))) & (exprChannel @ E @ B) & ~ (member1967978193chanID @ E @ (loc @ D)))) => (eout @ D @ B)) | ~ (correc990227761ionOut @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[145])). 39.91/10.05 thf(8,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_sup__bot__right)). 39.91/10.05 thf(290,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 39.91/10.05 thf(185,axiom,((! [A:secrecy_specID]: ((correc965049635ionLoc @ A) => (((subcomponents @ A) = bot_bo1785112429specID) => ((loc @ A) = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_subcomponents__loc)). 39.91/10.05 thf(914,plain,((! [A:secrecy_specID]: ((correc965049635ionLoc @ A) => (((subcomponents @ A) = bot_bo1785112429specID) => ((loc @ A) = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[185])). 39.91/10.05 thf(132,axiom,((! [A:secrecy_specID,B:secrecy_Secrets]: ((knowle233900195orrect @ A @ (secrecy_sKS @ B)) => ((eout @ A @ (secrecy_sE @ B)) => ((member2138796287ecrets @ B @ (specSecrets @ A)) | (knowle945212990e_know @ A @ (secrecy_sKS @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_343_eoutKnowCorrect__L1s)). 39.91/10.05 thf(716,plain,((! [A:secrecy_specID,B:secrecy_Secrets]: ((knowle233900195orrect @ A @ (secrecy_sKS @ B)) => ((eout @ A @ (secrecy_sE @ B)) => ((member2138796287ecrets @ B @ (specSecrets @ A)) | (knowle945212990e_know @ A @ (secrecy_sKS @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[132])). 39.91/10.05 thf(256,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((~ (ine @ D @ B)) <= (correctCompositionIn @ D))) <= (~ (ine @ C @ B))) <= (~ (ine @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_TBtheorem3a)). 39.91/10.05 thf(1161,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (~ (ine @ D @ B) | ~ (correctCompositionIn @ D))) | (ine @ C @ B) | (ine @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[256])). 39.91/10.05 thf(7,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_237_UnCI)). 39.91/10.05 thf(287,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)],[7])). 39.91/10.05 thf(11,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_sup__bot__right)). 39.91/10.05 thf(300,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 39.91/10.05 thf(238,axiom,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_chanID]: (((exprChannel @ C @ (secrecy_kE @ A)) => ((~ (member1967978193chanID @ C @ (loc @ B))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (specKeysSecrets @ B))))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_LocalSecretsComposition__neg__loc__k)). 39.91/10.05 thf(1097,plain,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_chanID]: (((exprChannel @ C @ (secrecy_kE @ A)) => (~ (member1967978193chanID @ C @ (loc @ B)) | (member_Secrecy_KS @ (secrecy_kKS @ A) @ (specKeysSecrets @ B)))) | (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[238])). 39.91/10.05 thf(168,axiom,((! [A:secrecy_KS,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: (((~ (member_Secrecy_KS @ A @ (specKeysSecrets @ C))) => ((((correctCompositionIn @ D) => ((knowle945212990e_know @ D @ A) <= (correctCompositionKS @ D))) <= ((subcomponents @ D) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))) <= ((knowle945212990e_know @ B @ A) | (knowle945212990e_know @ C @ A)))) <= (~ (member_Secrecy_KS @ A @ (specKeysSecrets @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_know__composition)). 39.91/10.05 thf(854,plain,((! [A:secrecy_KS,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: (((~ (member_Secrecy_KS @ A @ (specKeysSecrets @ C))) => (((correctCompositionIn @ D) => ((knowle945212990e_know @ D @ A) | ~ (correctCompositionKS @ D))) | ~ ((subcomponents @ D) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) | ~ ((knowle945212990e_know @ B @ A) | (knowle945212990e_know @ C @ A)))) | (member_Secrecy_KS @ A @ (specKeysSecrets @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[168])). 39.91/10.05 thf(35,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => ((insert1671894227specID @ A @ B) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_insert__absorb)). 39.91/10.05 thf(373,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => ((insert1671894227specID @ A @ B) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])). 39.91/10.05 thf(96,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_248_Un__insert__right)). 39.91/10.05 thf(564,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)],[96])). 39.91/10.05 thf(13,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_329_out__exprChannelSet__Single)). 39.91/10.05 thf(305,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)],[13])). 39.91/10.05 thf(57,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_111_insert__commute)). 39.91/10.05 thf(437,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)],[57])). 39.91/10.05 thf(159,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_172_ine__exprChannelSet__Single)). 39.91/10.05 thf(828,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)],[159])). 39.91/10.05 thf(229,axiom,((! [A:secrecy_specID,B:secrecy_Keys]: ((~ (ine @ A @ (secrecy_kE @ B))) <= (~ (knowle945212990e_know @ A @ (secrecy_kKS @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_not__know__k__not__ine)). 39.91/10.05 thf(1065,plain,((! [A:secrecy_specID,B:secrecy_Keys]: (~ (ine @ A @ (secrecy_kE @ B)) | (knowle945212990e_know @ A @ (secrecy_kKS @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[229])). 39.91/10.05 thf(257,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 @ A @ E)) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ F) => (member1967978193chanID @ G @ (loc @ A))))) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) <= (member1967978193chanID @ G @ D)))) <= (ine_exprChannelSet @ C @ F @ E))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_TBtheorem4a__notPQ)). 39.91/10.05 thf(1165,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 @ A @ E) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ F) => (member1967978193chanID @ G @ (loc @ A)))) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) | ~ (member1967978193chanID @ G @ D))) | ~ (ine_exprChannelSet @ C @ F @ E))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[257])). 39.91/10.05 thf(198,axiom,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_emptyE)). 39.91/10.05 thf(955,plain,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[198])). 39.91/10.05 thf(282,plain,(! [C:set_Secrecy_chanID,B:secrecy_chanID,A:secrecy_chanID] : ((~ (member1967978193chanID @ A @ (insert751661162chanID @ B @ C))) | (A = B) | (member1967978193chanID @ A @ C))),inference(cnf,[status(esa)],[281])). 39.91/10.05 thf(283,plain,(! [C:set_Secrecy_chanID,B:secrecy_chanID,A:secrecy_chanID] : ((A = B) | (~ (member1967978193chanID @ A @ (insert751661162chanID @ B @ C))) | (member1967978193chanID @ A @ C))),inference(lifteq,[status(thm)],[282])). 39.91/10.05 thf(50,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((member740727610specID @ A @ B) => (member740727610specID @ A @ (insert1671894227specID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_insertI2)). 39.91/10.05 thf(415,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((member740727610specID @ A @ B) => (member740727610specID @ A @ (insert1671894227specID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 39.91/10.05 thf(918,plain,(((inStream) = (^ [A:secrecy_specID]: ((=) @ set_Secrecy_chanID @ (ins @ A))))),inference(lifteq,[status(thm)],[917])). 39.91/10.05 thf(153,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((eoutM @ A @ B @ C) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => ((correc990227761ionOut @ D) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (out @ E)) & (member1967978193chanID @ F @ B) & ~ (member1967978193chanID @ F @ (loc @ D)) & (exprChannel @ F @ C))) => (eoutM @ D @ B @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_TBtheore54b__P)). 39.91/10.05 thf(801,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((eoutM @ A @ B @ C) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => ((correc990227761ionOut @ D) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (out @ E)) & (member1967978193chanID @ F @ B) & ~ (member1967978193chanID @ F @ (loc @ D)) & (exprChannel @ F @ C))) => (eoutM @ D @ B @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[153])). 39.91/10.05 thf(180,axiom,((! [A:set_Secrecy_chanID]: ((? [B:secrecy_chanID]: (member1967978193chanID @ B @ A)) = (A != bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_ex__in__conv)). 39.91/10.05 thf(897,plain,((! [A:set_Secrecy_chanID]: ((? [B:secrecy_chanID]: (member1967978193chanID @ B @ A)) = (~ (A = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[180])). 39.91/10.05 thf(473,plain,((~ (? [A:secrecy_specID]: (member740727610specID @ A @ bot_bo1785112429specID)))),inference(miniscope,[status(thm)],[472])). 39.91/10.05 thf(474,plain,(! [A:secrecy_specID] : ((~ (member740727610specID @ A @ bot_bo1785112429specID)))),inference(cnf,[status(esa)],[473])). 39.91/10.05 thf(220,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) => ((ineM @ D @ B @ C) <= (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ E)) & ~ (member1967978193chanID @ F @ (loc @ D)) & (member1967978193chanID @ F @ B) & (exprChannel @ F @ C))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_TBtheorem4b__P)). 39.91/10.05 thf(1033,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) => ((ineM @ D @ B @ C) | ~ (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ E)) & ~ (member1967978193chanID @ F @ (loc @ D)) & (member1967978193chanID @ F @ B) & (exprChannel @ F @ C))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[220])). 39.91/10.05 thf(263,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_175_ine__empty__exprChannelSet)). 39.91/10.05 thf(1197,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)],[263])). 39.91/10.05 thf(200,axiom,((! [A:nat,B:nat]: (((secrecy_dE @ A) = (secrecy_dE @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_Expression_Oinject_I3_J)). 39.91/10.05 thf(960,plain,((! [A:nat,B:nat]: (((secrecy_dE @ A) = (secrecy_dE @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[200])). 39.91/10.05 thf(115,axiom,((! [A:set_Secrecy_Keys]: ((collect_Secrecy_Keys @ (^ [B:secrecy_Keys]: (member_Secrecy_Keys @ B @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_Collect__mem__eq)). 39.91/10.05 thf(635,plain,((! [A:set_Secrecy_Keys]: ((collect_Secrecy_Keys @ (^ [B:secrecy_Keys]: (member_Secrecy_Keys @ B @ A))) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[115])). 39.91/10.05 thf(139,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:secrecy_chanID]: (((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((((member1967978193chanID @ F @ (ins @ E)) => (~ (exprChannel @ F @ C))) <= (member1967978193chanID @ F @ B)) <= (correctCompositionIn @ E))) <= (~ (ineM @ D @ B @ C))) <= (~ (ineM @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_TBlemma3b)). 39.91/10.05 thf(740,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:secrecy_chanID]: ((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => (((member1967978193chanID @ F @ (ins @ E)) => (~ (exprChannel @ F @ C))) | ~ (member1967978193chanID @ F @ B) | ~ (correctCompositionIn @ E))) | (ineM @ D @ B @ C) | (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[139])). 39.91/10.05 thf(207,axiom,((! [A:secrecy_chanID,B:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) => (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_singletonD)). 39.91/10.05 thf(987,plain,((! [A:secrecy_chanID,B:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) => (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[207])). 39.91/10.05 thf(22,axiom,((! [A:set_Secrecy_Keys]: ((! [B:secrecy_Keys]: ~ (member_Secrecy_Keys @ B @ A)) => (A = bot_bo701486667y_Keys)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_equals0I)). 39.91/10.05 thf(332,plain,((! [A:set_Secrecy_Keys]: ((! [B:secrecy_Keys]: ~ (member_Secrecy_Keys @ B @ A)) => (A = bot_bo701486667y_Keys)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 39.91/10.05 thf(54,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_278_Un__assoc)). 39.91/10.05 thf(427,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)],[54])). 39.91/10.05 thf(106,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Keys]: ((correctCompositionKS @ A) => ((member740727610specID @ B @ (subcomponents @ A)) => ((member_Secrecy_Keys @ C @ (specKeys @ A)) <= (member_Secrecy_Keys @ C @ (specKeys @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_correctCompositionKS__subcomp3)). 39.91/10.05 thf(596,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Keys]: ((correctCompositionKS @ A) => ((member740727610specID @ B @ (subcomponents @ A)) => ((member_Secrecy_Keys @ C @ (specKeys @ A)) | ~ (member_Secrecy_Keys @ C @ (specKeys @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[106])). 39.91/10.05 thf(183,axiom,((! [A:secrecy_Keys,B:set_Secrecy_Keys,C:set_Secrecy_Keys]: ((member_Secrecy_Keys @ A @ (sup_su552545507y_Keys @ B @ C)) <= (member_Secrecy_Keys @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_UnI1)). 39.91/10.05 thf(908,plain,((! [A:secrecy_Keys,B:set_Secrecy_Keys,C:set_Secrecy_Keys]: ((member_Secrecy_Keys @ A @ (sup_su552545507y_Keys @ B @ C)) | ~ (member_Secrecy_Keys @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[183])). 39.91/10.05 thf(850,plain,(! [A:secrecy_specID] : ((is_sin1501507247specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),inference(cnf,[status(esa)],[849])). 39.91/10.05 thf(211,axiom,((! [A:secrecy_specID,B:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) => (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_singletonD)). 39.91/10.05 thf(1004,plain,((! [A:secrecy_specID,B:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) => (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[211])). 39.91/10.05 thf(125,axiom,((! [A:secrecy_KS,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((member_Secrecy_KS @ A @ (localSecrets @ B)) => ((member_Secrecy_KS @ A @ (localSecrets @ C)) <= ((subcomponents @ C) = (insert1671894227specID @ B @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_LocalSecretsComposition1)). 39.91/10.05 thf(691,plain,((! [A:secrecy_KS,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((member_Secrecy_KS @ A @ (localSecrets @ B)) => ((member_Secrecy_KS @ A @ (localSecrets @ C)) | ~ ((subcomponents @ C) = (insert1671894227specID @ B @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[125])). 39.91/10.05 thf(237,axiom,((! [A:secrecy_Keys,B:secrecy_specID]: ((secrecy_kE @ A) != (secrecy_idE @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_Expression_Odistinct_I5_J)). 39.91/10.05 thf(1093,plain,((! [A:secrecy_Keys,B:secrecy_specID]: ~ ((secrecy_kE @ A) = (secrecy_idE @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[237])). 39.91/10.05 thf(43,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => ((insert751661162chanID @ A @ B) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_insert__absorb)). 39.91/10.05 thf(395,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => ((insert751661162chanID @ A @ B) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 39.91/10.05 thf(163,axiom,((! [A:secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_singletonI)). 39.91/10.05 thf(839,plain,((! [A:secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[163])). 39.91/10.05 thf(19,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_insertI1)). 39.91/10.05 thf(322,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 39.91/10.05 thf(68,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((insert751661162chanID @ A @ (insert751661162chanID @ A @ B)) = (insert751661162chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_insert__absorb2)). 39.91/10.05 thf(469,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((insert751661162chanID @ A @ (insert751661162chanID @ A @ B)) = (insert751661162chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])). 39.91/10.05 thf(261,axiom,((! [A:secrecy_Keys,B:secrecy_Keys]: (((secrecy_kE @ A) = (secrecy_kE @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_Expression_Oinject_I1_J)). 39.91/10.05 thf(1184,plain,((! [A:secrecy_Keys,B:secrecy_Keys]: (((secrecy_kE @ A) = (secrecy_kE @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[261])). 39.91/10.05 thf(73,axiom,((! [A:set_Secrecy_chanID]: ((collec625564175chanID @ (^ [B:secrecy_chanID]: (member1967978193chanID @ B @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_Collect__mem__eq)). 39.91/10.05 thf(491,plain,((! [A:set_Secrecy_chanID]: ((collec625564175chanID @ (^ [B:secrecy_chanID]: (member1967978193chanID @ B @ A))) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[73])). 39.91/10.05 thf(105,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((((correctCompositionIn @ E) => (~ (ineM @ E @ B @ C))) <= ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID)))) <= (~ (ineM @ D @ B @ C))) <= (~ (ineM @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_TBtheorem3b)). 39.91/10.05 thf(592,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((correctCompositionIn @ E) => (~ (ineM @ E @ B @ C))) | ~ ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) | (ineM @ D @ B @ C) | (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[105])). 39.91/10.05 thf(129,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_173_ine__exprChannelSingle__Set)). 39.91/10.05 thf(708,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)],[129])). 39.91/10.05 thf(175,axiom,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_chanID]: ((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))) => (((~ (member1967978193chanID @ C @ (loc @ B))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (specKeysSecrets @ B)))) <= (exprChannel @ C @ (secrecy_sE @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_LocalSecretsComposition__neg__loc__s)). 39.91/10.05 thf(882,plain,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_chanID]: ((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))) => (~ (member1967978193chanID @ C @ (loc @ B)) | (member_Secrecy_KS @ (secrecy_sKS @ A) @ (specKeysSecrets @ B)) | ~ (exprChannel @ C @ (secrecy_sE @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[175])). 39.91/10.05 thf(1014,plain,(((is_sin1501507247specID) = (^ [A:set_Secrecy_specID]: ? [B:secrecy_specID]: (A = (insert1671894227specID @ B @ bot_bo1785112429specID))))),inference(lifteq,[status(thm)],[1013])). 39.91/10.05 thf(221,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Secrets]: (((~ (eout @ A @ (secrecy_sE @ C))) <= (~ (knowle945212990e_know @ B @ (secrecy_sKS @ C)))) <= (ord_le1802272080chanID @ (out @ A) @ (ins @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_354_adv__not__know2)). 39.91/10.05 thf(1037,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Secrets]: (~ (eout @ A @ (secrecy_sE @ C)) | (knowle945212990e_know @ B @ (secrecy_sKS @ C)) | ~ (ord_le1802272080chanID @ (out @ A) @ (ins @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[221])). 39.91/10.05 thf(560,plain,(((sup_su370684444chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (sup_su370684444chanID @ B @ A)))),inference(lifteq,[status(thm)],[559])). 39.91/10.05 thf(1596,plain,(($false)),inference(cvc4,[status(thm)],[892,809,629,365,760,1031,941,1179,555,352,977,379,677,523,1158,582,730,276,440,511,385,1137,550,500,472,814,747,538,1222,930,1001,1127,782,841,1228,885,1046,570,619,917,1055,724,542,460,559,638,1087,1147,606,881,1115,316,1100,421,870,1013,284,756,591,443,1040,376,834,514,937,348,1051,480,475,924,280,293,453,998,411,1201,849,507,527,602,981,1215,634,307,1153,534,1067,1047,1021,561,392,297,424,1238,746,1091,1123,862,275,788,329,665,830,889,1106,1291,710,324,974,578,1111,403,388,1118,874,1143,339,1155,1292,933,1207,590,393,1263,701,371,503,984,911,792,633,805,398,1071,1187,773,586,662,718,888,412,750,430,279,573,296,444,733,1219,824,904,1007,286,579,958,281,545,391,445,382,313,787,466,919,947,1224,1209,681,274,736,990,599,1175,900,406,362,567,880,1043,434,303,1122,890,494,345,609,483,520,1061,685,1213,695,278,455,1015,851,922,675,1208,795,548,927,812,1081,342,1018,355,553,836,531,944,1134,648,458,1181,776,712,580,1025,705,971,409,310,463,1317,1085,951,359,1130,744,336,613,864,727,497,845,450,1180,688,1010,368,1108,319,304,401,963,517,418,786,1077,763,1045,290,914,716,1161,287,300,1097,854,373,564,305,437,828,1065,1165,955,283,415,918,801,897,474,1033,1197,960,635,740,987,332,427,860,596,908,850,1004,691,1093,395,839,322,469,1184,491,592,708,882,1014,1037,560])). 39.91/10.05 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 39.91/10.05 % [INFO] Killing All external provers ... 39.91/10.08 EOF