0.00/0.00 % Leo-III: Strategy 1 (for '60') 26.76/12.18 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 26.76/12.18 % [INFO] Parsing done (223ms). 26.76/12.18 % [INFO] Running in sequential loop mode. 26.76/12.18 % [CONFIG] Using configuration: timeout(60) with strategy 26.76/12.18 % [INFO] eprover registered as external prover. 26.76/12.18 % [INFO] cvc4 registered as external prover. 26.76/12.18 % [INFO] Parsing finished. Scanning for conjecture ... 26.76/12.18 % [INFO] Found a conjecture and 355 axioms. Running axiom selection ... 26.76/12.18 % [INFO] Axiom selection finished. Selected 265 axioms (removed 90 axioms). 26.76/12.18 % [INFO] Problem is higher-order (TPTP THF). 26.76/12.18 % [INFO] Type checking passed. Searching for refutation ... 26.76/12.18 % External prover 'cvc4' found a proof! 26.76/12.18 % [INFO] Killing All external provers ... 26.76/12.18 % Time passed: 6743ms (effective reasoning time: 6168ms) 26.76/12.18 % Solved by strategy 26.76/12.18 % Axioms used in derivation (265): fact_289_LocalSecretsComposition__neg1, fact_29_empty__iff, fact_245_UnI2, fact_321_TBtheorem2a, fact_346_eout__def, fact_158_TBtheorem1a, fact_104_insertI1, fact_249_ball__Un, fact_159_TBtheorem3a, fact_350_correctCompositionOut__prop1, fact_97_insertI2, fact_114_insert__not__empty, fact_281_insert__is__Un, fact_1_notKSQ, fact_37_all__not__in__conv, fact_60_equals0D, fact_308_sup__bot__left, fact_244_UnI2, fact_329_TBtheorem5b__notPQ, fact_328_out__exprChannelSingle__Set, fact_139_TBtheorem1b, fact_195_TBtheorem4b__notPQ, fact_129_mem__Collect__eq, fact_208_correctCompositionKS__exprChannel__s__Q, fact_206_LocalSecretsComposition__neg__k, fact_177_LocalSecretsComposition__exprChannel__k, fact_201_ine__nonempty__exprChannelSet, fact_227_Un__insert__right, fact_284_LocalSecretsComposition__ine1__s, fact_292_sup__bot_Oright__neutral, fact_219_Un__iff, fact_199_ine__exprChannelSet__def, fact_299_sup__bot_Oleft__neutral, fact_75_insert__commute, fact_247_bex__Un, fact_352_adv__not__know2, fact_151_is__singleton__the__elem, fact_345_TBtheorem5a__PQ, fact_344_TBtheore54b__P, fact_55_equals0I, fact_313_bot__eq__sup__iff, fact_14_singletonI, fact_190_TBtheorem4b__notP1, fact_220_KS_Oinject_I2_J, fact_275_singleton__Un__iff, fact_63_equals0D, fact_88_insert__ident, fact_98_insertI2, fact_223_Un__empty, fact_6_a1, fact_87_insert__ident, fact_58_equals0I, fact_194_LocalSecretsComposition__ine1__k, fact_307_sup__bot__left, fact_251_Un__assoc, fact_178_ine__def, fact_197_ine__exprChannelSingle__Set, fact_351_TBtheorem45a__P, fact_184_TBtheorem4a__P, fact_246_bex__Un, fact_34_all__not__in__conv, fact_141_Set_Ois__empty__def, fact_64_equals0D, fact_239_UnI1, fact_72_mk__disjoint__insert, fact_173_know_Osimps_I1_J, fact_306_sup__bot__left, fact_94_Set_Oset__insert, fact_229_Un__insert__left, fact_172_TBtheorem4a__empty, fact_71_mk__disjoint__insert, fact_118_singleton__iff, fact_297_sup__bot_Oleft__neutral, fact_305_sup__eq__bot__iff, fact_231_UnE, fact_318_TBtheorem5a__empty, fact_300_sup__bot_Oeq__neutr__iff, fact_315_locStream__def, fact_153_is__singletonI_H, fact_134_Collect__mem__eq, fact_285_LocalSecretsComposition__ine2__s, fact_16_KS_Oinject_I1_J, fact_265_Un__empty__left, fact_23_insert__iff, fact_224_Un__empty, fact_302_sup__bot_Oeq__neutr__iff, fact_5_assms_I3_J, fact_332_not__eout__eoutM, fact_148_not__ine__ineM, fact_123_the__elem__eq, fact_169_TBlemma3b, fact_336_TBtheorem5b__notP1, fact_273_singleton__Un__iff, fact_261_Un__empty__right, fact_294_sup__bot_Oneutr__eq__iff, fact_303_sup__eq__bot__iff, fact_156_is__singletonI_H, fact_214_UnCI, fact_175_LocalSecretsComposition__neg__loc__k, fact_268_KS_Oexhaust, fact_343_TBtheorem5b__PQ, fact_107_insertE, fact_24_insert__iff, fact_314_ineM__Un1, fact_144_correctCompositionIn__L2, fact_18_insertCI, fact_235_UnE, fact_353_adv__not__know1, fact_259_Un__left__commute, fact_82_insert__absorb, fact_4_cCompI, fact_89_insert__ident, fact_215_Un__iff, fact_316_inStream__def, fact_311_sup__bot__right, fact_324_TBtheorem5a__notP1, fact_283_LocalSecretsComposition__neg__s, fact_210_UnCI, fact_310_sup__bot__right, fact_121_singleton__iff, fact_309_sup__bot__right, fact_108_insertE, fact_248_ball__Un, fact_179_ine__ins__neg1, fact_54_ex__in__conv, fact_333_eoutM__eout, fact_279_insert__is__Un, fact_183_TBtheorem4a__PQ, fact_189_correctCompositionKS__exprChannel__k__Q, fact_70_mk__disjoint__insert, fact_203_TBtheorem4a__notP2, fact_264_Un__empty__left, fact_170_correctCompositionIn__L1, fact_69_emptyE, fact_253_Un__absorb, fact_46_singletonD, fact_254_Un__commute, fact_68_emptyE, fact_272_know_Osimps_I2_J, fact_193_LocalSecretsComposition__ine2__k, fact_103_insertI1, fact_347_eoutM__def, fact_27_insert__absorb2, fact_174_correctCompositionKS__exprChannel__k__P, fact_325_TBtheorem5a__notP2, fact_256_Un__left__absorb, fact_262_Un__empty__right, fact_295_sup__bot_Oneutr__eq__iff, fact_304_sup__eq__bot__iff, fact_267_not__know__s__not__ine, fact_188_correctCompositionKS__exprChannel__k__Pex, fact_187_correctCompositionKS__exprChannel__k__Qex, fact_349_out__exprChannelSingle__def, fact_334_TBtheorem2b, fact_348_out__exprChannelSet__def, fact_250_Un__assoc, fact_162_bot__empty__eq, fact_282_LocalSecretsComposition__neg__loc__s, fact_122_singleton__iff, fact_298_sup__bot_Oleft__neutral, fact_240_UnI1, fact_269_KS_Oinduct, fact_125_is__singletonI, fact_17_insertCI, fact_33_empty__iff, fact_128_TBtheorem3b, fact_2_notKSP, fact_205_subcomponents__loc, fact_28_insert__absorb2, fact_160_is__singletonE, fact_236_UnI1, fact_117_doubleton__eq__iff, fact_280_insert__is__Un, fact_317_notSpecKeysSecretsExpr__def, fact_0_cCompKS, fact_291_sup__bot_Oright__neutral, fact_263_Un__empty__right, fact_93_Set_Oset__insert, fact_11_singletonI, fact_102_insertI1, fact_335_TBtheorem5b__notP2, fact_92_Set_Oset__insert, fact_127_a11, fact_274_singleton__Un__iff, fact_278_Un__singleton__iff, fact_252_Un__absorb, fact_9_correctCompositionKS__negP, fact_271_Expression_Odistinct_I1_J, fact_293_sup__bot_Oright__neutral, fact_228_Un__insert__left, fact_260_KS2Expression_Osimps_I2_J, fact_47_singletonD, fact_7_correctCompositionKS__PQ, fact_234_UnE, fact_140_a11ext, fact_10_correctCompositionKS__negQ, fact_145_is__singleton__def, fact_327_out__exprChannelSet__Single, fact_255_Un__commute, fact_59_equals0I, fact_312_bot__eq__sup__iff, fact_196_TBtheorem4b__notP2, fact_15_singletonI, fact_150_not__know__k__not__ine, fact_176_LocalSecretsComposition1, fact_204_TBtheorem4a__notPQ, fact_241_UnI2, fact_76_insert__commute, fact_200_ine__empty__exprChannelSet, fact_225_Un__insert__right, fact_3_subPQ, fact_143_correctCompositionIn__prop1, fact_78_insert__eq__iff, fact_230_Un__insert__left, fact_270_KS_Odistinct_I1_J, fact_22_insert__iff, fact_296_sup__bot_Oneutr__eq__iff, fact_185_TBtheorem4b__PQ, fact_221_Expression_Oinject_I2_J, fact_213_UnCI, fact_147_Expression_Oinject_I1_J, fact_116_doubleton__eq__iff, fact_53_ex__in__conv, fact_192_LocalSecretsComposition__neg1__k, fact_8_correctCompositionKS__neg1, fact_276_Un__singleton__iff, fact_113_singleton__inject, fact_266_Un__empty__left, fact_112_singleton__inject, fact_209_correctCompositionKS__exprChannel__s__Pex, fact_50_ex__in__conv, fact_149_ineM__ine, fact_226_Un__insert__right, fact_287_LocalSecretsComposition__exprChannel__s, fact_290_correctCompositionKS__exprChannel__s__Qex, fact_222_Un__empty, fact_109_insertE, fact_32_empty__iff, fact_257_Un__left__absorb, fact_180_ineM__L1, fact_84_insert__absorb, fact_288_LocalSecretsComposition__neg, fact_191_TBtheorem4a__notP1, fact_38_all__not__in__conv, fact_326_TBtheorem5a__notPQ, fact_218_Un__iff, fact_115_insert__not__empty, fact_202_ine__exprChannelSingle__def, fact_198_ine__exprChannelSet__Single, fact_65_emptyE, fact_186_TBtheorem4b__P, fact_79_insert__eq__iff, fact_43_singletonD, fact_207_correctCompositionKS__exprChannel__s__P, fact_99_insertI2, fact_83_insert__absorb, fact_171_KS2Expression_Osimps_I1_J, fact_301_sup__bot_Oeq__neutr__iff, fact_182_correctCompositionInLoc__exprChannel, fact_258_Un__left__commute, fact_19_insertCI, fact_286_LocalSecretsComposition__neg1__s, fact_181_ineM__def, fact_77_insert__eq__iff, fact_277_Un__singleton__iff 26.76/12.18 % No. of inferences in proof: 534 26.76/12.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6743 ms resp. 6168 ms w/o parsing 26.76/12.18 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 26.76/12.18 thf(list_S529945141ession_type, type, list_S529945141ession: $tType). 26.76/12.18 thf(set_Secrecy_Secrets_type, type, set_Secrecy_Secrets: $tType). 26.76/12.18 thf(set_Secrecy_specID_type, type, set_Secrecy_specID: $tType). 26.76/12.18 thf(set_Secrecy_chanID_type, type, set_Secrecy_chanID: $tType). 26.76/12.18 thf(set_Secrecy_Keys_type, type, set_Secrecy_Keys: $tType). 26.76/12.18 thf(set_Secrecy_KS_type, type, set_Secrecy_KS: $tType). 26.76/12.18 thf(secrecy_Expression_type, type, secrecy_Expression: $tType). 26.76/12.18 thf(secrecy_Secrets_type, type, secrecy_Secrets: $tType). 26.76/12.18 thf(secrecy_specID_type, type, secrecy_specID: $tType). 26.76/12.18 thf(secrecy_chanID_type, type, secrecy_chanID: $tType). 26.76/12.18 thf(secrecy_Keys_type, type, secrecy_Keys: $tType). 26.76/12.18 thf(secrecy_KS_type, type, secrecy_KS: $tType). 26.76/12.18 thf(nat_type, type, nat: $tType). 26.76/12.18 thf(localSecrets_type, type, localSecrets: (secrecy_specID > set_Secrecy_KS)). 26.76/12.18 thf(knowle945212990e_know_type, type, knowle945212990e_know: (secrecy_specID > (secrecy_KS > $o))). 26.76/12.18 thf(sup_su1301156759ecy_KS_type, type, sup_su1301156759ecy_KS: (set_Secrecy_KS > (set_Secrecy_KS > set_Secrecy_KS))). 26.76/12.18 thf(sup_su370684444chanID_type, type, sup_su370684444chanID: (set_Secrecy_chanID > (set_Secrecy_chanID > set_Secrecy_chanID))). 26.76/12.18 thf(sup_su1712599557specID_type, type, sup_su1712599557specID: (set_Secrecy_specID > (set_Secrecy_specID > set_Secrecy_specID))). 26.76/12.18 thf(mem_Se1967555118ession_type, type, mem_Se1967555118ession: (secrecy_Expression > (list_S529945141ession > $o))). 26.76/12.18 thf(bot_bot_Secrecy_KS_o_type, type, bot_bot_Secrecy_KS_o: (secrecy_KS > $o)). 26.76/12.18 thf(bot_bo1943466239ecy_KS_type, type, bot_bo1943466239ecy_KS: set_Secrecy_KS). 26.76/12.18 thf(bot_bo443197316chanID_type, type, bot_bo443197316chanID: set_Secrecy_chanID). 26.76/12.18 thf(bot_bo1785112429specID_type, type, bot_bo1785112429specID: set_Secrecy_specID). 26.76/12.18 thf(ord_le1802272080chanID_type, type, ord_le1802272080chanID: (set_Secrecy_chanID > (set_Secrecy_chanID > $o))). 26.76/12.18 thf(correctCompositionKS_type, type, correctCompositionKS: (secrecy_specID > $o)). 26.76/12.18 thf(eout_type, type, eout: (secrecy_specID > (secrecy_Expression > $o))). 26.76/12.18 thf(eoutM_type, type, eoutM: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 26.76/12.18 thf(exprChannel_type, type, exprChannel: (secrecy_chanID > (secrecy_Expression > $o))). 26.76/12.18 thf(ine_type, type, ine: (secrecy_specID > (secrecy_Expression > $o))). 26.76/12.18 thf(ineM_type, type, ineM: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 26.76/12.18 thf(ine_exprChannelSet_type, type, ine_exprChannelSet: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 26.76/12.18 thf(ine_ex1303305700Single_type, type, ine_ex1303305700Single: (secrecy_specID > (secrecy_chanID > (secrecy_Expression > $o)))). 26.76/12.18 thf(notSpe1586871396tsExpr_type, type, notSpe1586871396tsExpr: (secrecy_specID > (list_S529945141ession > $o))). 26.76/12.18 thf(out_exprChannelSet_type, type, out_exprChannelSet: (secrecy_specID > (set_Secrecy_chanID > (secrecy_Expression > $o)))). 26.76/12.18 thf(out_ex985543062Single_type, type, out_ex985543062Single: (secrecy_specID > (secrecy_chanID > (secrecy_Expression > $o)))). 26.76/12.18 thf(specKeysSecrets_type, type, specKeysSecrets: (secrecy_specID > set_Secrecy_KS)). 26.76/12.18 thf(secrecy_kE_type, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)). 26.76/12.18 thf(secrecy_sE_type, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)). 26.76/12.18 thf(secrec1016742679ession_type, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)). 26.76/12.18 thf(secrecy_kKS_type, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)). 26.76/12.18 thf(secrecy_sKS_type, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)). 26.76/12.18 thf(collect_Secrecy_KS_type, type, collect_Secrecy_KS: ((secrecy_KS > $o) > set_Secrecy_KS)). 26.76/12.18 thf(insert_Secrecy_KS_type, type, insert_Secrecy_KS: (secrecy_KS > (set_Secrecy_KS > set_Secrecy_KS))). 26.76/12.18 thf(insert751661162chanID_type, type, insert751661162chanID: (secrecy_chanID > (set_Secrecy_chanID > set_Secrecy_chanID))). 26.76/12.18 thf(insert1671894227specID_type, type, insert1671894227specID: (secrecy_specID > (set_Secrecy_specID > set_Secrecy_specID))). 26.76/12.18 thf(is_emp1849217361specID_type, type, is_emp1849217361specID: (set_Secrecy_specID > $o)). 26.76/12.18 thf(is_sin1442426433ecy_KS_type, type, is_sin1442426433ecy_KS: (set_Secrecy_KS > $o)). 26.76/12.18 thf(is_sin1501507247specID_type, type, is_sin1501507247specID: (set_Secrecy_specID > $o)). 26.76/12.18 thf(the_el827131246specID_type, type, the_el827131246specID: (set_Secrecy_specID > secrecy_specID)). 26.76/12.18 thf(correctCompositionIn_type, type, correctCompositionIn: (secrecy_specID > $o)). 26.76/12.18 thf(correc965049635ionLoc_type, type, correc965049635ionLoc: (secrecy_specID > $o)). 26.76/12.18 thf(correc990227761ionOut_type, type, correc990227761ionOut: (secrecy_specID > $o)). 26.76/12.18 thf(inStream_type, type, inStream: (secrecy_specID > (set_Secrecy_chanID > $o))). 26.76/12.18 thf(ins_type, type, ins: (secrecy_specID > set_Secrecy_chanID)). 26.76/12.18 thf(loc_type, type, loc: (secrecy_specID > set_Secrecy_chanID)). 26.76/12.18 thf(locStream_type, type, locStream: (secrecy_specID > (set_Secrecy_chanID > $o))). 26.76/12.18 thf(out_type, type, out: (secrecy_specID > set_Secrecy_chanID)). 26.76/12.18 thf(subcomponents_type, type, subcomponents: (secrecy_specID > set_Secrecy_specID)). 26.76/12.18 thf(member_Secrecy_KS_type, type, member_Secrecy_KS: (secrecy_KS > (set_Secrecy_KS > $o))). 26.76/12.18 thf(member1967978193chanID_type, type, member1967978193chanID: (secrecy_chanID > (set_Secrecy_chanID > $o))). 26.76/12.18 thf(member740727610specID_type, type, member740727610specID: (secrecy_specID > (set_Secrecy_specID > $o))). 26.76/12.18 thf(p_type, type, p: secrecy_specID). 26.76/12.18 thf(pq_type, type, pq: secrecy_specID). 26.76/12.18 thf(q_type, type, q: secrecy_specID). 26.76/12.18 thf(key_type, type, key: secrecy_Keys). 26.76/12.18 thf(m_type, type, m: secrecy_KS). 26.76/12.18 thf(216,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))) => (((exprChannel @ E @ (secrecy_kE @ D)) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A))) => (((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_kE @ D))) <= (correctCompositionIn @ A)))) <= (member1967978193chanID @ E @ (ins @ C)))) <= (correctCompositionKS @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_correctCompositionKS__exprChannel__k__Q)). 26.76/12.18 thf(1024,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))) => (((exprChannel @ E @ (secrecy_kE @ D)) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A))) => (((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_kE @ D))) | ~ (correctCompositionIn @ A)))) | ~ (member1967978193chanID @ E @ (ins @ C)))) | ~ (correctCompositionKS @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[216])). 26.76/12.18 thf(33,axiom,((out_exprChannelSet = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: (((member1967978193chanID @ D @ (out @ A)) & ~ (member1967978193chanID @ D @ B)) => (~ (exprChannel @ D @ C))) & ! [D:secrecy_chanID]: (((exprChannel @ D @ C) & (member1967978193chanID @ D @ (out @ A))) <= (member1967978193chanID @ D @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_348_out__exprChannelSet__def)). 26.76/12.18 thf(365,plain,(((out_exprChannelSet) = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (! [D:secrecy_chanID]: (((member1967978193chanID @ D @ (out @ A)) & ~ (member1967978193chanID @ D @ B)) => (~ (exprChannel @ D @ C))) & ! [D:secrecy_chanID]: (((exprChannel @ D @ C) & (member1967978193chanID @ D @ (out @ A))) | ~ (member1967978193chanID @ D @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 26.76/12.18 thf(27,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ C @ B)) <= (member740727610specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_insertI2)). 26.76/12.18 thf(347,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ C @ B)) | ~ (member740727610specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 26.76/12.18 thf(117,axiom,((! [A:secrecy_specID]: ((correc965049635ionLoc @ A) => (((subcomponents @ A) = bot_bo1785112429specID) => ((loc @ A) = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_subcomponents__loc)). 26.76/12.18 thf(628,plain,((! [A:secrecy_specID]: ((correc965049635ionLoc @ A) => (((subcomponents @ A) = bot_bo1785112429specID) => ((loc @ A) = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[117])). 26.76/12.18 thf(125,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 @ D)) & ~ (member1967978193chanID @ A @ (ins @ C)))) <= (~ (ine @ C @ (secrecy_kE @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_LocalSecretsComposition__exprChannel__k)). 26.76/12.18 thf(666,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 @ D)) & ~ (member1967978193chanID @ A @ (ins @ C)))) | (ine @ C @ (secrecy_kE @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[125])). 26.76/12.18 thf(70,axiom,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) => (A = bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_equals0I)). 26.76/12.18 thf(481,plain,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) => (A = bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])). 26.76/12.18 thf(256,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: ((((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) => ((((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A))) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) & (exprChannel @ F @ (secrecy_sE @ D)))) <= (correctCompositionIn @ A))) <= (exprChannel @ E @ (secrecy_sE @ D))) <= (member1967978193chanID @ E @ (ins @ B)))) <= (correctCompositionKS @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_correctCompositionKS__exprChannel__s__Pex)). 26.76/12.18 thf(1168,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) => (((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A))) => (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) & (exprChannel @ F @ (secrecy_sE @ D))) | ~ (correctCompositionIn @ A))) | ~ (exprChannel @ E @ (secrecy_sE @ D)) | ~ (member1967978193chanID @ E @ (ins @ B)))) | ~ (correctCompositionKS @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[256])). 26.76/12.18 thf(153,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((((eout @ D @ B) | (eout @ C @ B)) <= (correc990227761ionOut @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID)))) <= (eout @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_321_TBtheorem2a)). 26.76/12.18 thf(760,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ D @ B) | (eout @ C @ B) | ~ (correc990227761ionOut @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) | ~ (eout @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[153])). 26.76/12.18 thf(264,axiom,((! [A:secrecy_KS]: ~ (member_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_empty__iff)). 26.76/12.18 thf(1200,plain,((! [A:secrecy_KS]: ~ (member_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[264])). 26.76/12.18 thf(104,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_235_UnE)). 26.76/12.18 thf(582,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)],[104])). 26.76/12.18 thf(211,axiom,((correctCompositionIn @ pq)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cCompI)). 26.76/12.18 thf(1005,plain,((correctCompositionIn @ pq)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[211])). 26.76/12.18 thf(228,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:secrecy_KS,D:set_Secrecy_KS]: ((~ (member_Secrecy_KS @ A @ B)) => ((~ (member_Secrecy_KS @ C @ D)) => (((insert_Secrecy_KS @ A @ B) = (insert_Secrecy_KS @ C @ D)) = (((A != C) => (? [E:set_Secrecy_KS]: (~ (member_Secrecy_KS @ A @ E) & (D = (insert_Secrecy_KS @ A @ E)) & ~ (member_Secrecy_KS @ C @ E) & (B = (insert_Secrecy_KS @ C @ E))))) & ((A = C) => (B = D)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_insert__eq__iff)). 26.76/12.18 thf(1073,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:secrecy_KS,D:set_Secrecy_KS]: ((~ (member_Secrecy_KS @ A @ B)) => ((~ (member_Secrecy_KS @ C @ D)) => (((insert_Secrecy_KS @ A @ B) = (insert_Secrecy_KS @ C @ D)) = (((~ (A = C)) => (? [E:set_Secrecy_KS]: (~ (member_Secrecy_KS @ A @ E) & (D = (insert_Secrecy_KS @ A @ E)) & ~ (member_Secrecy_KS @ C @ E) & (B = (insert_Secrecy_KS @ C @ E))))) & ((A = C) => (B = D)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[228])). 26.76/12.18 thf(122,axiom,((! [A:secrecy_KS]: ((~ (! [B:secrecy_Secrets]: (A != (secrecy_sKS @ B)))) <= (! [B:secrecy_Keys]: (A != (secrecy_kKS @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_268_KS_Oexhaust)). 26.76/12.18 thf(655,plain,((! [A:secrecy_KS]: (~ (! [B:secrecy_Secrets]: ~ (A = (secrecy_sKS @ B))) | ~ (! [B:secrecy_Keys]: ~ (A = (secrecy_kKS @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[122])). 26.76/12.18 thf(113,axiom,((! [A:secrecy_Keys,B:secrecy_Keys]: (((secrecy_kKS @ A) = (secrecy_kKS @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_KS_Oinject_I1_J)). 26.76/12.18 thf(614,plain,((! [A:secrecy_Keys,B:secrecy_Keys]: (((secrecy_kKS @ A) = (secrecy_kKS @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[113])). 26.76/12.18 thf(266,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ B) => (~ (! [C:set_Secrecy_KS]: ((B = (insert_Secrecy_KS @ A @ C)) => (member_Secrecy_KS @ A @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_Set_Oset__insert)). 26.76/12.18 thf(1205,plain,((! [A:secrecy_KS,B:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ B) => (~ (! [C:set_Secrecy_KS]: ((B = (insert_Secrecy_KS @ A @ C)) => (member_Secrecy_KS @ A @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[266])). 26.76/12.18 thf(59,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_301_sup__bot_Oeq__neutr__iff)). 26.76/12.18 thf(449,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)],[59])). 26.76/12.18 thf(87,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_insertI1)). 26.76/12.18 thf(533,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[87])). 26.76/12.18 thf(93,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_197_ine__exprChannelSingle__Set)). 26.76/12.18 thf(550,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)],[93])). 26.76/12.18 thf(67,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (sup_su370684444chanID @ C @ B)) <= ((~ (member1967978193chanID @ A @ B)) => (member1967978193chanID @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_UnCI)). 26.76/12.18 thf(472,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ (sup_su370684444chanID @ C @ B)) | ~ ((~ (member1967978193chanID @ A @ B)) => (member1967978193chanID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])). 26.76/12.18 thf(166,axiom,((! [A:set_Secrecy_KS,B:set_Secrecy_KS]: (((sup_su1301156759ecy_KS @ A @ B) = bot_bo1943466239ecy_KS) = ((B = bot_bo1943466239ecy_KS) & (A = bot_bo1943466239ecy_KS))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_sup__bot_Oeq__neutr__iff)). 26.76/12.18 thf(814,plain,((! [A:set_Secrecy_KS,B:set_Secrecy_KS]: (((sup_su1301156759ecy_KS @ A @ B) = bot_bo1943466239ecy_KS) = ((B = bot_bo1943466239ecy_KS) & (A = bot_bo1943466239ecy_KS))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[166])). 26.76/12.18 thf(133,axiom,((! [A:secrecy_Keys,B:secrecy_Keys]: (((secrecy_kE @ A) = (secrecy_kE @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_Expression_Oinject_I1_J)). 26.76/12.18 thf(698,plain,((! [A:secrecy_Keys,B:secrecy_Keys]: (((secrecy_kE @ A) = (secrecy_kE @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[133])). 26.76/12.18 thf(89,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_292_sup__bot_Oright__neutral)). 26.76/12.18 thf(538,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[89])). 26.76/12.18 thf(126,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:secrecy_chanID]: (((~ (ineM @ D @ B @ C)) => (((correctCompositionIn @ E) => (((~ (exprChannel @ F @ C)) <= (member1967978193chanID @ F @ (ins @ E))) <= (member1967978193chanID @ F @ B))) <= ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))) <= (~ (ineM @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_TBlemma3b)). 26.76/12.18 thf(670,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:secrecy_chanID]: (((~ (ineM @ D @ B @ C)) => (((correctCompositionIn @ E) => (~ (exprChannel @ F @ C) | ~ (member1967978193chanID @ F @ (ins @ E)) | ~ (member1967978193chanID @ F @ B))) | ~ ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))) | (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[126])). 26.76/12.18 thf(148,axiom,((! [A:secrecy_specID]: (is_sin1501507247specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_is__singletonI)). 26.76/12.18 thf(747,plain,((! [A:secrecy_specID]: (is_sin1501507247specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[148])). 26.76/12.18 thf(190,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_139_TBtheorem1b)). 26.76/12.18 thf(913,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)],[190])). 26.76/12.18 thf(234,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) | (member_Secrecy_KS @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_Un__iff)). 26.76/12.18 thf(1095,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) | (member_Secrecy_KS @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[234])). 26.76/12.18 thf(186,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)) => (((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)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_TBtheorem5b__notP1)). 26.76/12.18 thf(898,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)) => (((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)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[186])). 26.76/12.18 thf(243,axiom,((! [A:secrecy_KS]: (member_Secrecy_KS @ A @ (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_singletonI)). 26.76/12.18 thf(1127,plain,((! [A:secrecy_KS]: (member_Secrecy_KS @ A @ (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[243])). 26.76/12.18 thf(137,axiom,((! [A:secrecy_Secrets,B:secrecy_Secrets]: (((secrecy_sE @ A) = (secrecy_sE @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_Expression_Oinject_I2_J)). 26.76/12.18 thf(709,plain,((! [A:secrecy_Secrets,B:secrecy_Secrets]: (((secrecy_sE @ A) = (secrecy_sE @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[137])). 26.76/12.18 thf(49,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_Un__empty__left)). 26.76/12.18 thf(417,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])). 26.76/12.18 thf(221,axiom,(((subcomponents @ pq) = (insert1671894227specID @ p @ (insert1671894227specID @ q @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_subPQ)). 26.76/12.18 thf(1046,plain,(((subcomponents @ pq) = (insert1671894227specID @ p @ (insert1671894227specID @ q @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[221])). 26.76/12.18 thf(98,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_312_bot__eq__sup__iff)). 26.76/12.18 thf(565,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)],[98])). 26.76/12.18 thf(55,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)). 26.76/12.18 thf(436,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)],[55])). 26.76/12.18 thf(41,axiom,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_emptyE)). 26.76/12.18 thf(389,plain,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 26.76/12.18 thf(141,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((~ (ineM @ A @ B @ C)) => ((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correctCompositionIn @ E) => (~ (ineM @ E @ B @ C)))) <= (~ (ineM @ D @ B @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_TBtheorem3b)). 26.76/12.18 thf(724,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((~ (ineM @ A @ B @ C)) => ((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correctCompositionIn @ E) => (~ (ineM @ E @ B @ C)))) | (ineM @ D @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[141])). 26.76/12.18 thf(159,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((insert1671894227specID @ A @ bot_bo1785112429specID) = (sup_su1712599557specID @ B @ C)) = (((C = bot_bo1785112429specID) & (B = (insert1671894227specID @ A @ bot_bo1785112429specID))) | ((C = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ A @ bot_bo1785112429specID))) | ((C = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_singleton__Un__iff)). 26.76/12.18 thf(785,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: (((insert1671894227specID @ A @ bot_bo1785112429specID) = (sup_su1712599557specID @ B @ C)) = (((C = bot_bo1785112429specID) & (B = (insert1671894227specID @ A @ bot_bo1785112429specID))) | ((C = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ A @ bot_bo1785112429specID))) | ((C = (insert1671894227specID @ A @ bot_bo1785112429specID)) & (B = bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[159])). 26.76/12.18 thf(191,axiom,((! [A:secrecy_specID,B:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) => (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_singletonD)). 26.76/12.18 thf(917,plain,((! [A:secrecy_specID,B:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) => (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[191])). 26.76/12.18 thf(30,axiom,((! [A:set_Secrecy_specID]: ((? [B:secrecy_specID]: (member740727610specID @ B @ A)) = (A != bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_ex__in__conv)). 26.76/12.18 thf(357,plain,((! [A:set_Secrecy_specID]: ((? [B:secrecy_specID]: (member740727610specID @ B @ A)) = (~ (A = bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 26.76/12.18 thf(106,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_75_insert__commute)). 26.76/12.18 thf(587,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)],[106])). 26.76/12.18 thf(115,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_258_Un__left__commute)). 26.76/12.18 thf(619,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)],[115])). 26.76/12.18 thf(120,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID,G:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((((G = (sup_su370684444chanID @ D @ F)) => ((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ D) => (member1967978193chanID @ H @ (loc @ A)))) => ((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) <= (member1967978193chanID @ H @ F))) => (~ (eoutM @ A @ G @ E))))) <= (out_exprChannelSet @ C @ F @ E)) <= (out_exprChannelSet @ B @ D @ E)) <= (correc990227761ionOut @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_329_TBtheorem5b__notPQ)). 26.76/12.18 thf(638,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID,G:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((G = (sup_su370684444chanID @ D @ F)) => ((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ D) => (member1967978193chanID @ H @ (loc @ A)))) => ((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) | ~ (member1967978193chanID @ H @ F))) => (~ (eoutM @ A @ G @ E))))) | ~ (out_exprChannelSet @ C @ F @ E) | ~ (out_exprChannelSet @ B @ D @ E) | ~ (correc990227761ionOut @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[120])). 26.76/12.18 thf(181,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_256_Un__left__absorb)). 26.76/12.18 thf(881,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)],[181])). 26.76/12.18 thf(20,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => (~ (! [C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ C) <= (B = (insert751661162chanID @ A @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_Set_Oset__insert)). 26.76/12.18 thf(325,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => (~ (! [C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ C) | ~ (B = (insert751661162chanID @ A @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 26.76/12.18 thf(17,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_98_insertI2)). 26.76/12.18 thf(316,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)],[17])). 26.76/12.18 thf(167,axiom,((is_sin1501507247specID = (^ [A:set_Secrecy_specID]: (A = (insert1671894227specID @ (the_el827131246specID @ A) @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_is__singleton__the__elem)). 26.76/12.18 thf(817,plain,(((is_sin1501507247specID) = (^ [A:set_Secrecy_specID]: (A = (insert1671894227specID @ (the_el827131246specID @ A) @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[167])). 26.76/12.18 thf(187,axiom,((! [A:set_Secrecy_specID]: ((~ (! [B:secrecy_specID]: (A != (insert1671894227specID @ B @ bot_bo1785112429specID)))) <= (is_sin1501507247specID @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_is__singletonE)). 26.76/12.18 thf(902,plain,((! [A:set_Secrecy_specID]: (~ (! [B:secrecy_specID]: ~ (A = (insert1671894227specID @ B @ bot_bo1785112429specID))) | ~ (is_sin1501507247specID @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[187])). 26.76/12.18 thf(68,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_sup__bot__left)). 26.76/12.18 thf(475,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])). 26.76/12.18 thf(57,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_295_sup__bot_Oneutr__eq__iff)). 26.76/12.18 thf(443,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)],[57])). 26.76/12.18 thf(238,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets]: ((((correctCompositionKS @ A) => ((((~ (ine @ B @ (secrecy_sE @ D))) => ((~ (ine @ C @ (secrecy_sE @ D))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C))))))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ C)))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ B))))) <= (correc965049635ionLoc @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_LocalSecretsComposition__neg__s)). 26.76/12.18 thf(1109,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets]: (((correctCompositionKS @ A) => (((~ (ine @ B @ (secrecy_sE @ D))) => ((~ (ine @ C @ (secrecy_sE @ D))) => (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A)) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C)))))) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ C)) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ B)))) | ~ (correc965049635ionLoc @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[238])). 26.76/12.18 thf(71,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_257_Un__left__absorb)). 26.76/12.18 thf(485,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)],[71])). 26.76/12.18 thf(203,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((~ (member_Secrecy_KS @ A @ B)) => ((~ (member_Secrecy_KS @ A @ C)) => (((insert_Secrecy_KS @ A @ B) = (insert_Secrecy_KS @ A @ C)) = (B = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_insert__ident)). 26.76/12.18 thf(966,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((~ (member_Secrecy_KS @ A @ B)) => ((~ (member_Secrecy_KS @ A @ C)) => (((insert_Secrecy_KS @ A @ B) = (insert_Secrecy_KS @ A @ C)) = (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[203])). 26.76/12.18 thf(259,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: (((member_Secrecy_KS @ A @ C) <= (~ (member_Secrecy_KS @ A @ B))) => (member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_UnCI)). 26.76/12.18 thf(1183,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: (((member_Secrecy_KS @ A @ C) | (member_Secrecy_KS @ A @ B)) => (member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[259])). 26.76/12.18 thf(223,axiom,((m = (secrecy_kKS @ key))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_a1)). 26.76/12.18 thf(1051,plain,((m = (secrecy_kKS @ key))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[223])). 26.76/12.18 thf(169,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_specID,D:secrecy_Expression]: ((member1967978193chanID @ A @ B) => (((ineM @ C @ B @ D) <= (exprChannel @ A @ D)) <= (member1967978193chanID @ A @ (ins @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_ineM__L1)). 26.76/12.18 thf(821,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_specID,D:secrecy_Expression]: ((member1967978193chanID @ A @ B) => ((ineM @ C @ B @ D) | ~ (exprChannel @ A @ D) | ~ (member1967978193chanID @ A @ (ins @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[169])). 26.76/12.18 thf(6,axiom,((! [A:secrecy_chanID,B:secrecy_chanID,C:secrecy_chanID,D:secrecy_chanID]: (((insert751661162chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = (insert751661162chanID @ C @ (insert751661162chanID @ D @ bot_bo443197316chanID))) = (((B = D) & (A = C)) | ((A = D) & (B = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_doubleton__eq__iff)). 26.76/12.18 thf(280,plain,((! [A:secrecy_chanID,B:secrecy_chanID,C:secrecy_chanID,D:secrecy_chanID]: (((insert751661162chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = (insert751661162chanID @ C @ (insert751661162chanID @ D @ bot_bo443197316chanID))) = (((B = D) & (A = C)) | ((A = D) & (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 26.76/12.18 thf(119,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correctCompositionIn @ C) => ((ine @ C @ B) <= (? [E:secrecy_chanID]: ((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ B) & ~ (member1967978193chanID @ E @ (loc @ C))))))) <= (ine @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_TBtheorem4a__P)). 26.76/12.18 thf(634,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correctCompositionIn @ C) => ((ine @ C @ B) | ~ (? [E:secrecy_chanID]: ((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ B) & ~ (member1967978193chanID @ E @ (loc @ C))))))) | ~ (ine @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[119])). 26.76/12.18 thf(241,axiom,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_chanID]: ((((~ (member1967978193chanID @ C @ (loc @ B))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (specKeysSecrets @ B)))) <= (exprChannel @ C @ (secrecy_kE @ A))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_LocalSecretsComposition__neg__loc__k)). 26.76/12.18 thf(1119,plain,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_chanID]: (~ (member1967978193chanID @ C @ (loc @ B)) | (member_Secrecy_KS @ (secrecy_kKS @ A) @ (specKeysSecrets @ B)) | ~ (exprChannel @ C @ (secrecy_kE @ A)) | (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[241])). 26.76/12.18 thf(180,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))) => (((ineM @ D @ B @ C) <= (? [F:secrecy_chanID]: ((exprChannel @ F @ C) & ~ (member1967978193chanID @ F @ (loc @ D)) & (member1967978193chanID @ F @ B) & (member1967978193chanID @ F @ (ins @ E))))) <= (correctCompositionIn @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_TBtheorem4b__P)). 26.76/12.18 thf(877,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))) => ((ineM @ D @ B @ C) | ~ (? [F:secrecy_chanID]: ((exprChannel @ F @ C) & ~ (member1967978193chanID @ F @ (loc @ D)) & (member1967978193chanID @ F @ B) & (member1967978193chanID @ F @ (ins @ E)))) | ~ (correctCompositionIn @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[180])). 26.76/12.18 thf(131,axiom,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ bot_bo1943466239ecy_KS) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_Un__empty__right)). 26.76/12.18 thf(692,plain,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ bot_bo1943466239ecy_KS) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[131])). 26.76/12.18 thf(60,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_223_Un__empty)). 26.76/12.18 thf(452,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)],[60])). 26.76/12.18 thf(192,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]: (((member1967978193chanID @ D @ (ins @ A)) & ~ (member1967978193chanID @ D @ B)) => (~ (exprChannel @ D @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_ine__exprChannelSet__def)). 26.76/12.18 thf(920,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]: (((member1967978193chanID @ D @ (ins @ A)) & ~ (member1967978193chanID @ D @ B)) => (~ (exprChannel @ D @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[192])). 26.76/12.18 thf(38,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_Un__empty__right)). 26.76/12.18 thf(380,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])). 26.76/12.18 thf(3,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((~ (member1967978193chanID @ A @ C)) => (((insert751661162chanID @ A @ B) = (insert751661162chanID @ A @ C)) = (B = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_insert__ident)). 26.76/12.18 thf(270,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((~ (member1967978193chanID @ A @ C)) => (((insert751661162chanID @ A @ B) = (insert751661162chanID @ A @ C)) = (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 26.76/12.18 thf(161,axiom,((! [A:set_Secrecy_KS,B:set_Secrecy_KS]: (((sup_su1301156759ecy_KS @ A @ B) = bot_bo1943466239ecy_KS) = ((B = bot_bo1943466239ecy_KS) & (A = bot_bo1943466239ecy_KS))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_Un__empty)). 26.76/12.18 thf(798,plain,((! [A:set_Secrecy_KS,B:set_Secrecy_KS]: (((sup_su1301156759ecy_KS @ A @ B) = bot_bo1943466239ecy_KS) = ((B = bot_bo1943466239ecy_KS) & (A = bot_bo1943466239ecy_KS))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[161])). 26.76/12.18 thf(23,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_71_mk__disjoint__insert)). 26.76/12.18 thf(334,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)],[23])). 26.76/12.18 thf(189,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: (((insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS) = (sup_su1301156759ecy_KS @ B @ C)) = (((B = bot_bo1943466239ecy_KS) & (C = (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))) | ((C = bot_bo1943466239ecy_KS) & (B = (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))) | ((B = (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS)) & (C = (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_singleton__Un__iff)). 26.76/12.18 thf(910,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: (((insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS) = (sup_su1301156759ecy_KS @ B @ C)) = (((B = bot_bo1943466239ecy_KS) & (C = (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))) | ((C = bot_bo1943466239ecy_KS) & (B = (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))) | ((B = (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS)) & (C = (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[189])). 26.76/12.18 thf(201,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((correc990227761ionOut @ D) => (((loc @ D) = bot_bo443197316chanID) => (eout @ D @ B))) <= ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID)))) <= ((eout @ C @ B) | (eout @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_TBtheorem5a__empty)). 26.76/12.18 thf(957,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((correc990227761ionOut @ D) => (((loc @ D) = bot_bo443197316chanID) => (eout @ D @ B))) | ~ ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) | ~ ((eout @ C @ B) | (eout @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[201])). 26.76/12.18 thf(233,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ B) => (? [C:set_Secrecy_KS]: (~ (member_Secrecy_KS @ A @ C) & (B = (insert_Secrecy_KS @ A @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_mk__disjoint__insert)). 26.76/12.18 thf(1091,plain,((! [A:secrecy_KS,B:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ B) => (? [C:set_Secrecy_KS]: (~ (member_Secrecy_KS @ A @ C) & (B = (insert_Secrecy_KS @ A @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[233])). 26.76/12.18 thf(220,axiom,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B)) => ((((~ (ine @ D @ (secrecy_kE @ A))) => (((ine @ C @ (secrecy_kE @ A)) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ D)))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ C))))) <= (correc965049635ionLoc @ B)) <= ((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_LocalSecretsComposition__ine1__k)). 26.76/12.18 thf(1042,plain,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B)) => (((~ (ine @ D @ (secrecy_kE @ A))) => ((ine @ C @ (secrecy_kE @ A)) | (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ D)) | (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ C)))) | ~ (correc965049635ionLoc @ B) | ~ ((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[220])). 26.76/12.18 thf(257,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: ((((((((? [F:secrecy_chanID]: ((exprChannel @ F @ (secrecy_kE @ D)) & (member1967978193chanID @ F @ (ins @ A)))) <= (correctCompositionIn @ A)) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A)))) <= (exprChannel @ E @ (secrecy_kE @ D))) <= (member1967978193chanID @ E @ (ins @ C))) <= (~ (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_187_correctCompositionKS__exprChannel__k__Qex)). 26.76/12.18 thf(1174,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (? [F:secrecy_chanID]: ((exprChannel @ F @ (secrecy_kE @ D)) & (member1967978193chanID @ F @ (ins @ A))) | ~ (correctCompositionIn @ A) | (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A)) | ~ (exprChannel @ E @ (secrecy_kE @ D)) | ~ (member1967978193chanID @ E @ (ins @ C)) | (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)],[257])). 26.76/12.18 thf(42,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_228_Un__insert__left)). 26.76/12.18 thf(392,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)],[42])). 26.76/12.18 thf(11,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_76_insert__commute)). 26.76/12.18 thf(297,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)],[11])). 26.76/12.18 thf(51,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_198_ine__exprChannelSet__Single)). 26.76/12.18 thf(424,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)],[51])). 26.76/12.18 thf(53,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (~ (! [C:set_Secrecy_specID]: ((member740727610specID @ A @ C) <= (B = (insert1671894227specID @ A @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_Set_Oset__insert)). 26.76/12.18 thf(429,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (~ (! [C:set_Secrecy_specID]: ((member740727610specID @ A @ C) | ~ (B = (insert1671894227specID @ A @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])). 26.76/12.18 thf(160,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((correctCompositionIn @ D) => ((? [E:secrecy_chanID]: (((member1967978193chanID @ E @ (ins @ A)) | (member1967978193chanID @ E @ (ins @ C))) & (exprChannel @ E @ B) & ~ (member1967978193chanID @ E @ (loc @ D)))) => (ine @ D @ B))) <= ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID)))) <= ((ine @ A @ B) | (ine @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_TBtheorem4a__PQ)). 26.76/12.18 thf(788,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((correctCompositionIn @ D) => ((? [E:secrecy_chanID]: (((member1967978193chanID @ E @ (ins @ A)) | (member1967978193chanID @ E @ (ins @ C))) & (exprChannel @ E @ B) & ~ (member1967978193chanID @ E @ (loc @ D)))) => (ine @ D @ B))) | ~ ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) | ~ ((ine @ A @ B) | (ine @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[160])). 26.76/12.18 thf(21,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((insert751661162chanID @ A @ (insert751661162chanID @ A @ B)) = (insert751661162chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_insert__absorb2)). 26.76/12.18 thf(329,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((insert751661162chanID @ A @ (insert751661162chanID @ A @ B)) = (insert751661162chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 26.76/12.18 thf(84,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_sup__bot_Oleft__neutral)). 26.76/12.18 thf(522,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[84])). 26.76/12.18 thf(263,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ C @ B)) <= ((~ (member_Secrecy_KS @ A @ B)) => (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_insertCI)). 26.76/12.18 thf(1195,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ C @ B)) | ~ ((~ (member_Secrecy_KS @ A @ B)) => (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[263])). 26.76/12.18 thf(213,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_176_LocalSecretsComposition1)). 26.76/12.18 thf(1012,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)],[213])). 26.76/12.18 thf(237,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]: ((C @ D) & (member_Secrecy_KS @ D @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_246_bex__Un)). 26.76/12.18 thf(1106,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]: ((C @ D) & (member_Secrecy_KS @ D @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[237])). 26.76/12.18 thf(253,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_134_Collect__mem__eq)). 26.76/12.18 thf(1159,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)],[253])). 26.76/12.18 thf(63,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: (((insert1671894227specID @ A @ B) = B) <= (member740727610specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_insert__absorb)). 26.76/12.18 thf(461,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: (((insert1671894227specID @ A @ B) = B) | ~ (member740727610specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])). 26.76/12.18 thf(44,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_231_UnE)). 26.76/12.18 thf(403,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)],[44])). 26.76/12.18 thf(212,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((((exprChannel @ E @ (secrecy_sE @ D)) => (((correctCompositionIn @ A) => (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) & (exprChannel @ F @ (secrecy_sE @ D))))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A))))) <= (member1967978193chanID @ E @ (ins @ C))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A)))) <= (correctCompositionKS @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_correctCompositionKS__exprChannel__s__Qex)). 26.76/12.18 thf(1006,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((exprChannel @ E @ (secrecy_sE @ D)) => (((correctCompositionIn @ A) => (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) & (exprChannel @ F @ (secrecy_sE @ D))))) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A)))) | ~ (member1967978193chanID @ E @ (ins @ C)) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A)) | ~ (correctCompositionKS @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[212])). 26.76/12.18 thf(108,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID,G:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ A) => ((((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) <= (member1967978193chanID @ H @ D))) => ((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) <= (member1967978193chanID @ H @ F))) => (~ (ineM @ A @ G @ E)))) <= (ine_exprChannelSet @ C @ F @ E)) <= (ine_exprChannelSet @ B @ D @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_TBtheorem4b__notPQ)). 26.76/12.18 thf(593,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID,G:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ A) => (((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) | ~ (member1967978193chanID @ H @ D))) => ((! [H:secrecy_chanID]: ((member1967978193chanID @ H @ (loc @ A)) | ~ (member1967978193chanID @ H @ F))) => (~ (ineM @ A @ G @ E)))) | ~ (ine_exprChannelSet @ C @ F @ E) | ~ (ine_exprChannelSet @ B @ D @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[108])). 26.76/12.18 thf(76,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_sup__bot__right)). 26.76/12.18 thf(499,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[76])). 26.76/12.18 thf(83,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_219_Un__iff)). 26.76/12.18 thf(519,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)],[83])). 26.76/12.18 thf(146,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((insert1671894227specID @ A @ (insert1671894227specID @ A @ B)) = (insert1671894227specID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_insert__absorb2)). 26.76/12.18 thf(742,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((insert1671894227specID @ A @ (insert1671894227specID @ A @ B)) = (insert1671894227specID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[146])). 26.76/12.18 thf(158,axiom,((! [A:secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_singletonI)). 26.76/12.18 thf(783,plain,((! [A:secrecy_specID]: (member740727610specID @ A @ (insert1671894227specID @ A @ bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[158])). 26.76/12.18 thf(50,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID,D:set_Secrecy_specID]: ((~ (member740727610specID @ A @ B)) => ((~ (member740727610specID @ C @ D)) => (((insert1671894227specID @ A @ B) = (insert1671894227specID @ C @ D)) = (((B = D) <= (A = C)) & ((? [E:set_Secrecy_specID]: (~ (member740727610specID @ A @ E) & (D = (insert1671894227specID @ A @ E)) & ~ (member740727610specID @ C @ E) & (B = (insert1671894227specID @ C @ E)))) <= (A != C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_insert__eq__iff)). 26.76/12.18 thf(420,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID,D:set_Secrecy_specID]: ((~ (member740727610specID @ A @ B)) => ((~ (member740727610specID @ C @ D)) => (((insert1671894227specID @ A @ B) = (insert1671894227specID @ C @ D)) = (((B = D) | ~ (A = C)) & (? [E:set_Secrecy_specID]: (~ (member740727610specID @ A @ E) & (D = (insert1671894227specID @ A @ E)) & ~ (member740727610specID @ C @ E) & (B = (insert1671894227specID @ C @ E))) | (A = C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 26.76/12.18 thf(182,axiom,((! [A:secrecy_Secrets]: ((secrec1016742679ession @ (secrecy_sKS @ A)) = (secrecy_sE @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_260_KS2Expression_Osimps_I2_J)). 26.76/12.18 thf(884,plain,((! [A:secrecy_Secrets]: ((secrec1016742679ession @ (secrecy_sKS @ A)) = (secrecy_sE @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[182])). 26.76/12.18 thf(72,axiom,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_emptyE)). 26.76/12.18 thf(488,plain,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[72])). 26.76/12.18 thf(95,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_245_UnI2)). 26.76/12.18 thf(554,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)],[95])). 26.76/12.18 thf(129,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((~ (ineM @ D @ B @ C)) => (((correctCompositionIn @ E) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ B) & (member1967978193chanID @ F @ (loc @ E)) & (ine_ex1303305700Single @ A @ F @ C))) => (~ (ineM @ E @ B @ C)))) <= ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))) <= (ineM @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_TBtheorem4b__notP1)). 26.76/12.18 thf(686,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((~ (ineM @ D @ B @ C)) => (((correctCompositionIn @ E) => ((? [F:secrecy_chanID]: ((member1967978193chanID @ F @ B) & (member1967978193chanID @ F @ (loc @ E)) & (ine_ex1303305700Single @ A @ F @ C))) => (~ (ineM @ E @ B @ C)))) | ~ ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))) | ~ (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[129])). 26.76/12.18 thf(204,axiom,((! [A:set_Secrecy_KS]: (((! [B:secrecy_KS,C:secrecy_KS]: ((member_Secrecy_KS @ B @ A) => ((B = C) <= (member_Secrecy_KS @ C @ A)))) => (is_sin1442426433ecy_KS @ A)) <= (A != bot_bo1943466239ecy_KS)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_is__singletonI_H)). 26.76/12.18 thf(970,plain,((! [A:set_Secrecy_KS]: (((! [B:secrecy_KS,C:secrecy_KS]: ((member_Secrecy_KS @ B @ A) => ((B = C) | ~ (member_Secrecy_KS @ C @ A)))) => (is_sin1442426433ecy_KS @ A)) | (A = bot_bo1943466239ecy_KS)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[204])). 26.76/12.18 thf(92,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_304_sup__eq__bot__iff)). 26.76/12.18 thf(547,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)],[92])). 26.76/12.18 thf(214,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) => ((((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A))) => ((correctCompositionIn @ A) => ((exprChannel @ E @ (secrecy_kE @ D)) & (member1967978193chanID @ E @ (ins @ A))))) <= (exprChannel @ E @ (secrecy_kE @ D))) <= (member1967978193chanID @ E @ (ins @ B)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_correctCompositionKS__exprChannel__k__P)). 26.76/12.18 thf(1016,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) => (((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A))) => ((correctCompositionIn @ A) => ((exprChannel @ E @ (secrecy_kE @ D)) & (member1967978193chanID @ E @ (ins @ A))))) | ~ (exprChannel @ E @ (secrecy_kE @ D)) | ~ (member1967978193chanID @ E @ (ins @ B)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[214])). 26.76/12.18 thf(107,axiom,((! [A:set_Secrecy_KS,B:set_Secrecy_KS]: (((sup_su1301156759ecy_KS @ A @ B) = bot_bo1943466239ecy_KS) = ((B = bot_bo1943466239ecy_KS) & (A = bot_bo1943466239ecy_KS))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_sup__eq__bot__iff)). 26.76/12.18 thf(590,plain,((! [A:set_Secrecy_KS,B:set_Secrecy_KS]: (((sup_su1301156759ecy_KS @ A @ B) = bot_bo1943466239ecy_KS) = ((B = bot_bo1943466239ecy_KS) & (A = bot_bo1943466239ecy_KS))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[107])). 26.76/12.18 thf(207,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) => (((exprChannel @ E @ (secrecy_kE @ D)) => (((correctCompositionIn @ A) => (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) & (exprChannel @ F @ (secrecy_kE @ D))))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A))))) <= (member1967978193chanID @ E @ (ins @ B))))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_correctCompositionKS__exprChannel__k__Pex)). 26.76/12.18 thf(985,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys,E:secrecy_chanID]: (((correctCompositionKS @ A) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) => (((exprChannel @ E @ (secrecy_kE @ D)) => (((correctCompositionIn @ A) => (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) & (exprChannel @ F @ (secrecy_kE @ D))))) | (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ A)))) | ~ (member1967978193chanID @ E @ (ins @ B))))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[207])). 26.76/12.18 thf(134,axiom,((! [A:set_Secrecy_KS,B:set_Secrecy_KS,C:secrecy_KS]: (((sup_su1301156759ecy_KS @ A @ B) = (insert_Secrecy_KS @ C @ bot_bo1943466239ecy_KS)) = (((A = bot_bo1943466239ecy_KS) & (B = (insert_Secrecy_KS @ C @ bot_bo1943466239ecy_KS))) | ((A = (insert_Secrecy_KS @ C @ bot_bo1943466239ecy_KS)) & (B = (insert_Secrecy_KS @ C @ bot_bo1943466239ecy_KS))) | ((B = bot_bo1943466239ecy_KS) & (A = (insert_Secrecy_KS @ C @ bot_bo1943466239ecy_KS))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_276_Un__singleton__iff)). 26.76/12.18 thf(701,plain,((! [A:set_Secrecy_KS,B:set_Secrecy_KS,C:secrecy_KS]: (((sup_su1301156759ecy_KS @ A @ B) = (insert_Secrecy_KS @ C @ bot_bo1943466239ecy_KS)) = (((A = bot_bo1943466239ecy_KS) & (B = (insert_Secrecy_KS @ C @ bot_bo1943466239ecy_KS))) | ((A = (insert_Secrecy_KS @ C @ bot_bo1943466239ecy_KS)) & (B = (insert_Secrecy_KS @ C @ bot_bo1943466239ecy_KS))) | ((B = bot_bo1943466239ecy_KS) & (A = (insert_Secrecy_KS @ C @ bot_bo1943466239ecy_KS))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[134])). 26.76/12.18 thf(245,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]: ((member_Secrecy_KS @ D @ B) => (C @ D)) & ! [D:secrecy_KS]: ((C @ D) <= (member_Secrecy_KS @ D @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_248_ball__Un)). 26.76/12.18 thf(1131,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]: ((member_Secrecy_KS @ D @ B) => (C @ D)) & ! [D:secrecy_KS]: ((C @ D) | ~ (member_Secrecy_KS @ D @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[245])). 26.76/12.18 thf(262,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_244_UnI2)). 26.76/12.18 thf(1192,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)],[262])). 26.76/12.18 thf(140,axiom,((! [A:set_Secrecy_KS,B:secrecy_KS,C:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ (insert_Secrecy_KS @ B @ C)) = (insert_Secrecy_KS @ B @ (sup_su1301156759ecy_KS @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_Un__insert__right)). 26.76/12.18 thf(721,plain,((! [A:set_Secrecy_KS,B:secrecy_KS,C:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ (insert_Secrecy_KS @ B @ C)) = (insert_Secrecy_KS @ B @ (sup_su1301156759ecy_KS @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[140])). 26.76/12.18 thf(35,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_259_Un__left__commute)). 26.76/12.18 thf(371,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)],[35])). 26.76/12.18 thf(116,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID,E:set_Secrecy_chanID]: ((((correc990227761ionOut @ C) => ((out_exprChannelSet @ D @ E @ B) => ((~ (eout @ C @ B)) <= (! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ C)) <= (member1967978193chanID @ F @ E)))))) <= ((subcomponents @ C) = (insert1671894227specID @ D @ (insert1671894227specID @ A @ bot_bo1785112429specID)))) <= (~ (eout @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_TBtheorem5a__notP2)). 26.76/12.18 thf(622,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID,E:set_Secrecy_chanID]: (((correc990227761ionOut @ C) => ((out_exprChannelSet @ D @ E @ B) => (~ (eout @ C @ B) | ~ (! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ C)) | ~ (member1967978193chanID @ F @ E)))))) | ~ ((subcomponents @ C) = (insert1671894227specID @ D @ (insert1671894227specID @ A @ bot_bo1785112429specID))) | (eout @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[116])). 26.76/12.18 thf(172,axiom,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_Un__absorb)). 26.76/12.18 thf(837,plain,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[172])). 26.76/12.18 thf(26,axiom,((! [A:set_Secrecy_specID]: ((A = bot_bo1785112429specID) <= (! [B:secrecy_specID]: ~ (member740727610specID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_equals0I)). 26.76/12.18 thf(343,plain,((! [A:set_Secrecy_specID]: ((A = bot_bo1785112429specID) | ~ (! [B:secrecy_specID]: ~ (member740727610specID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 26.76/12.18 thf(31,axiom,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_empty__iff)). 26.76/12.18 thf(360,plain,((! [A:secrecy_specID]: ~ (member740727610specID @ A @ bot_bo1785112429specID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 26.76/12.18 thf(79,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_346_eout__def)). 26.76/12.18 thf(508,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)],[79])). 26.76/12.18 thf(90,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => (member1967978193chanID @ A @ (sup_su370684444chanID @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_240_UnI1)). 26.76/12.18 thf(541,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => (member1967978193chanID @ A @ (sup_su370684444chanID @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[90])). 26.76/12.18 thf(127,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:set_Secrecy_chanID]: (((((ine_exprChannelSet @ E @ F @ C) => ((! [G:secrecy_chanID]: ((member1967978193chanID @ G @ F) => (member1967978193chanID @ G @ (loc @ D)))) => (~ (ineM @ D @ B @ C)))) <= (correctCompositionIn @ D)) <= ((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID)))) <= (~ (ineM @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_TBtheorem4b__notP2)). 26.76/12.18 thf(674,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID,F:set_Secrecy_chanID]: (((ine_exprChannelSet @ E @ F @ C) => ((! [G:secrecy_chanID]: ((member1967978193chanID @ G @ F) => (member1967978193chanID @ G @ (loc @ D)))) => (~ (ineM @ D @ B @ C)))) | ~ (correctCompositionIn @ D) | ~ ((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))) | (ineM @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[127])). 26.76/12.18 thf(86,axiom,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) = (A = bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_all__not__in__conv)). 26.76/12.18 thf(530,plain,((! [A:set_Secrecy_chanID]: ((! [B:secrecy_chanID]: ~ (member1967978193chanID @ B @ A)) = (A = bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[86])). 26.76/12.18 thf(200,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((~ (eout @ C @ B)) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((? [E:secrecy_chanID]: ((member1967978193chanID @ E @ (loc @ D)) & (out_ex985543062Single @ A @ E @ B))) => (~ (eout @ D @ B))) <= (correc990227761ionOut @ D)))) <= (eout @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_TBtheorem5a__notP1)). 26.76/12.18 thf(953,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((~ (eout @ C @ B)) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((? [E:secrecy_chanID]: ((member1967978193chanID @ E @ (loc @ D)) & (out_ex985543062Single @ A @ E @ B))) => (~ (eout @ D @ B))) | ~ (correc990227761ionOut @ D)))) | ~ (eout @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[200])). 26.76/12.18 thf(157,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((eout @ D @ B) <= (? [E:secrecy_chanID]: (~ (member1967978193chanID @ E @ (loc @ D)) & (exprChannel @ E @ B) & ((member1967978193chanID @ E @ (out @ A)) | (member1967978193chanID @ E @ (out @ C)))))) <= (correc990227761ionOut @ D))) <= ((eout @ A @ B) | (eout @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_TBtheorem5a__PQ)). 26.76/12.18 thf(773,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((eout @ D @ B) | ~ (? [E:secrecy_chanID]: (~ (member1967978193chanID @ E @ (loc @ D)) & (exprChannel @ E @ B) & ((member1967978193chanID @ E @ (out @ A)) | (member1967978193chanID @ E @ (out @ C))))) | ~ (correc990227761ionOut @ D))) | ~ ((eout @ A @ B) | (eout @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[157])). 26.76/12.18 thf(124,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((correctCompositionIn @ A) => ((ine @ D @ B) | (ine @ C @ B))) <= ((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID)))) <= (ine @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_TBtheorem1a)). 26.76/12.18 thf(662,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((correctCompositionIn @ A) => ((ine @ D @ B) | (ine @ C @ B))) | ~ ((subcomponents @ A) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) | ~ (ine @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[124])). 26.76/12.18 thf(139,axiom,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ bot_bo1943466239ecy_KS @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_Un__empty__left)). 26.76/12.18 thf(718,plain,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ bot_bo1943466239ecy_KS @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[139])). 26.76/12.18 thf(188,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((eoutM @ A @ B @ C) => (((subcomponents @ A) = (insert1671894227specID @ D @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => ((correc990227761ionOut @ A) => ((eoutM @ E @ B @ C) | (eoutM @ D @ B @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_334_TBtheorem2b)). 26.76/12.18 thf(906,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((eoutM @ A @ B @ C) => (((subcomponents @ A) = (insert1671894227specID @ D @ (insert1671894227specID @ E @ bot_bo1785112429specID))) => ((correc990227761ionOut @ A) => ((eoutM @ E @ B @ C) | (eoutM @ D @ B @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[188])). 26.76/12.18 thf(47,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_241_UnI2)). 26.76/12.18 thf(412,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)],[47])). 26.76/12.18 thf(150,axiom,((insert_Secrecy_KS = (^ [A:secrecy_KS]: (sup_su1301156759ecy_KS @ (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_insert__is__Un)). 26.76/12.18 thf(750,plain,(((insert_Secrecy_KS) = (^ [A:secrecy_KS]: (sup_su1301156759ecy_KS @ (insert_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[150])). 26.76/12.18 thf(170,axiom,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ bot_bo1943466239ecy_KS @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_sup__bot_Oleft__neutral)). 26.76/12.18 thf(824,plain,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ bot_bo1943466239ecy_KS @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[170])). 26.76/12.18 thf(147,axiom,((insert1671894227specID = (^ [A:secrecy_specID]: (sup_su1712599557specID @ (insert1671894227specID @ A @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_insert__is__Un)). 26.76/12.18 thf(745,plain,(((insert1671894227specID) = (^ [A:secrecy_specID]: (sup_su1712599557specID @ (insert1671894227specID @ A @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[147])). 26.76/12.18 thf(101,axiom,((! [A:set_Secrecy_chanID]: ((? [B:secrecy_chanID]: (member1967978193chanID @ B @ A)) = (A != bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_ex__in__conv)). 26.76/12.18 thf(573,plain,((! [A:set_Secrecy_chanID]: ((? [B:secrecy_chanID]: (member1967978193chanID @ B @ A)) = (~ (A = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[101])). 26.76/12.18 thf(81,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_314_ineM__Un1)). 26.76/12.18 thf(513,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)],[81])). 26.76/12.18 thf(250,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) => ((((exprChannel @ E @ (secrecy_sE @ D)) => (((correctCompositionIn @ A) => ((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_sE @ D)))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A))))) <= (member1967978193chanID @ E @ (ins @ C))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_correctCompositionKS__exprChannel__s__Q)). 26.76/12.18 thf(1146,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) => (((exprChannel @ E @ (secrecy_sE @ D)) => (((correctCompositionIn @ A) => ((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_sE @ D)))) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A)))) | ~ (member1967978193chanID @ E @ (ins @ C)) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[250])). 26.76/12.18 thf(105,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Secrets]: (((~ (knowle945212990e_know @ B @ (secrecy_sKS @ C))) => (~ (eout @ A @ (secrecy_sE @ C)))) <= (ord_le1802272080chanID @ (out @ A) @ (ins @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_352_adv__not__know2)). 26.76/12.18 thf(584,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Secrets]: (((~ (knowle945212990e_know @ B @ (secrecy_sKS @ C))) => (~ (eout @ A @ (secrecy_sE @ C)))) | ~ (ord_le1802272080chanID @ (out @ A) @ (ins @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[105])). 26.76/12.18 thf(168,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_181_ineM__def)). 26.76/12.18 thf(819,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)],[168])). 26.76/12.18 thf(143,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((member1967978193chanID @ D @ (ins @ A)) => ((member1967978193chanID @ D @ (ins @ C)) | (member1967978193chanID @ D @ (ins @ B)))) <= (correctCompositionIn @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_correctCompositionIn__prop1)). 26.76/12.18 thf(732,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => (((member1967978193chanID @ D @ (ins @ A)) => ((member1967978193chanID @ D @ (ins @ C)) | (member1967978193chanID @ D @ (ins @ B)))) | ~ (correctCompositionIn @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[143])). 26.76/12.18 thf(8,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ C @ B)) <= ((~ (member1967978193chanID @ A @ B)) => (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_insertCI)). 26.76/12.18 thf(286,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ C @ B)) | ~ ((~ (member1967978193chanID @ A @ B)) => (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 26.76/12.18 thf(179,axiom,((locStream = (^ [A:secrecy_specID]: (= @ set_Secrecy_chanID @ (loc @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_locStream__def)). 26.76/12.18 thf(875,plain,(((locStream) = (^ [A:secrecy_specID]: (= @ set_Secrecy_chanID @ (loc @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[179])). 26.76/12.18 thf(103,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_215_Un__iff)). 26.76/12.18 thf(579,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)],[103])). 26.76/12.18 thf(9,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_230_Un__insert__left)). 26.76/12.18 thf(291,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)],[9])). 26.76/12.18 thf(195,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_112_singleton__inject)). 26.76/12.18 thf(936,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)],[195])). 26.76/12.18 thf(16,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((insert751661162chanID @ A @ bot_bo443197316chanID) = (sup_su370684444chanID @ B @ C)) = (((C = bot_bo443197316chanID) & (B = (insert751661162chanID @ A @ bot_bo443197316chanID))) | ((B = (insert751661162chanID @ A @ bot_bo443197316chanID)) & (C = (insert751661162chanID @ A @ bot_bo443197316chanID))) | ((C = (insert751661162chanID @ A @ bot_bo443197316chanID)) & (B = bot_bo443197316chanID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_singleton__Un__iff)). 26.76/12.18 thf(313,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:set_Secrecy_chanID]: (((insert751661162chanID @ A @ bot_bo443197316chanID) = (sup_su370684444chanID @ B @ C)) = (((C = bot_bo443197316chanID) & (B = (insert751661162chanID @ A @ bot_bo443197316chanID))) | ((B = (insert751661162chanID @ A @ bot_bo443197316chanID)) & (C = (insert751661162chanID @ A @ bot_bo443197316chanID))) | ((C = (insert751661162chanID @ A @ bot_bo443197316chanID)) & (B = bot_bo443197316chanID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 26.76/12.18 thf(65,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_148_not__ine__ineM)). 26.76/12.18 thf(466,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)],[65])). 26.76/12.18 thf(163,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ A) => ((~ (member1967978193chanID @ D @ (loc @ A))) => ((member1967978193chanID @ D @ (ins @ A)) <= (member1967978193chanID @ D @ (ins @ B)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_correctCompositionIn__L1)). 26.76/12.18 thf(804,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ A) => ((~ (member1967978193chanID @ D @ (loc @ A))) => ((member1967978193chanID @ D @ (ins @ A)) | ~ (member1967978193chanID @ D @ (ins @ B)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[163])). 26.76/12.18 thf(135,axiom,((! [A:secrecy_specID,B:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_singleton__iff)). 26.76/12.18 thf(704,plain,((! [A:secrecy_specID,B:secrecy_specID]: ((member740727610specID @ A @ (insert1671894227specID @ B @ bot_bo1785112429specID)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[135])). 26.76/12.18 thf(198,axiom,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ bot_bo1943466239ecy_KS) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_sup__bot_Oright__neutral)). 26.76/12.18 thf(947,plain,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ bot_bo1943466239ecy_KS) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[198])). 26.76/12.18 thf(28,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (((B = bot_bo443197316chanID) => (~ (ine @ A @ C))) <= (ine_exprChannelSet @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_ine__empty__exprChannelSet)). 26.76/12.18 thf(350,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: (((B = bot_bo443197316chanID) => (~ (ine @ A @ C))) | ~ (ine_exprChannelSet @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 26.76/12.18 thf(154,axiom,((! [A:secrecy_Secrets,B:secrecy_Secrets]: (((secrecy_sKS @ A) = (secrecy_sKS @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_KS_Oinject_I2_J)). 26.76/12.18 thf(764,plain,((! [A:secrecy_Secrets,B:secrecy_Secrets]: (((secrecy_sKS @ A) = (secrecy_sKS @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[154])). 26.76/12.18 thf(267,axiom,((~ (member_Secrecy_KS @ m @ (specKeysSecrets @ q)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_notKSQ)). 26.76/12.18 thf(1209,plain,((~ (member_Secrecy_KS @ m @ (specKeysSecrets @ q)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[267])). 26.76/12.18 thf(4,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_23_insert__iff)). 26.76/12.18 thf(274,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)],[4])). 26.76/12.18 thf(37,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_201_ine__nonempty__exprChannelSet)). 26.76/12.18 thf(377,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)],[37])). 26.76/12.18 thf(248,axiom,((knowle945212990e_know @ p @ m)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_assms_I3_J)). 26.76/12.18 thf(1144,plain,((knowle945212990e_know @ p @ m)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[248])). 26.76/12.18 thf(222,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_129_mem__Collect__eq)). 26.76/12.18 thf(1048,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)],[222])). 26.76/12.18 thf(144,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc990227761ionOut @ A) => ((member1967978193chanID @ D @ (out @ A)) => ((member1967978193chanID @ D @ (out @ B)) | (member1967978193chanID @ D @ (out @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_350_correctCompositionOut__prop1)). 26.76/12.18 thf(736,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc990227761ionOut @ A) => ((member1967978193chanID @ D @ (out @ A)) => ((member1967978193chanID @ D @ (out @ B)) | (member1967978193chanID @ D @ (out @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[144])). 26.76/12.18 thf(13,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => ((insert751661162chanID @ A @ B) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_insert__absorb)). 26.76/12.18 thf(303,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((member1967978193chanID @ A @ B) => ((insert751661162chanID @ A @ B) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 26.76/12.18 thf(242,axiom,((! [A:set_Secrecy_KS,B:secrecy_KS]: ((~ (member_Secrecy_KS @ B @ A)) <= (A = bot_bo1943466239ecy_KS)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_equals0D)). 26.76/12.18 thf(1122,plain,((! [A:set_Secrecy_KS,B:secrecy_KS]: (~ (member_Secrecy_KS @ B @ A) | ~ (A = bot_bo1943466239ecy_KS)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[242])). 26.76/12.18 thf(184,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((ine @ A @ B) | (ine @ C @ B)) => (((correctCompositionIn @ D) => (((loc @ D) = bot_bo443197316chanID) => (ine @ D @ B))) <= ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_TBtheorem4a__empty)). 26.76/12.18 thf(890,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((ine @ A @ B) | (ine @ C @ B)) => (((correctCompositionIn @ D) => (((loc @ D) = bot_bo443197316chanID) => (ine @ D @ B))) | ~ ((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[184])). 26.76/12.18 thf(165,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Keys]: ((ord_le1802272080chanID @ (out @ A) @ (ins @ B)) => ((~ (eout @ A @ (secrecy_kE @ C))) <= (~ (knowle945212990e_know @ B @ (secrecy_kKS @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_353_adv__not__know1)). 26.76/12.18 thf(811,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_Keys]: ((ord_le1802272080chanID @ (out @ A) @ (ins @ B)) => (~ (eout @ A @ (secrecy_kE @ C)) | (knowle945212990e_know @ B @ (secrecy_kKS @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[165])). 26.76/12.18 thf(118,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_250_Un__assoc)). 26.76/12.18 thf(631,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)],[118])). 26.76/12.18 thf(152,axiom,(((ine @ p @ (secrecy_kE @ key)) | (ine @ q @ (secrecy_kE @ key)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_a11ext)). 26.76/12.18 thf(758,plain,(((ine @ p @ (secrecy_kE @ key)) | (ine @ q @ (secrecy_kE @ key)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[152])). 26.76/12.18 thf(88,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_296_sup__bot_Oneutr__eq__iff)). 26.76/12.18 thf(535,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)],[88])). 26.76/12.18 thf(111,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ (insert_Secrecy_KS @ A @ B) @ C) = (insert_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_Un__insert__left)). 26.76/12.18 thf(609,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ (insert_Secrecy_KS @ A @ B) @ C) = (insert_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[111])). 26.76/12.18 thf(19,axiom,((! [A:secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_singletonI)). 26.76/12.18 thf(323,plain,((! [A:secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ bot_bo443197316chanID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 26.76/12.18 thf(254,axiom,((! [A:secrecy_KS,B:secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ B @ C)) = ((member_Secrecy_KS @ A @ C) | (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_insert__iff)). 26.76/12.18 thf(1162,plain,((! [A:secrecy_KS,B:secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ B @ C)) = ((member_Secrecy_KS @ A @ C) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[254])). 26.76/12.18 thf(156,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((insert1671894227specID @ A @ B) != bot_bo1785112429specID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_insert__not__empty)). 26.76/12.18 thf(769,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ~ ((insert1671894227specID @ A @ B) = bot_bo1785112429specID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[156])). 26.76/12.18 thf(194,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => (~ (ine @ D @ B)))) <= (~ (ine @ C @ B))) <= (~ (ine @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_TBtheorem3a)). 26.76/12.18 thf(932,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => (~ (ine @ D @ B)))) | (ine @ C @ B) | (ine @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[194])). 26.76/12.18 thf(74,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_149_ineM__ine)). 26.76/12.18 thf(494,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)],[74])). 26.76/12.18 thf(230,axiom,((! [A:set_Secrecy_KS]: ((! [B:secrecy_KS]: ~ (member_Secrecy_KS @ B @ A)) => (A = bot_bo1943466239ecy_KS)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_equals0I)). 26.76/12.18 thf(1080,plain,((! [A:set_Secrecy_KS]: ((! [B:secrecy_KS]: ~ (member_Secrecy_KS @ B @ A)) => (A = bot_bo1943466239ecy_KS)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[230])). 26.76/12.18 thf(34,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (? [C:set_Secrecy_specID]: (~ (member740727610specID @ A @ C) & (B = (insert1671894227specID @ A @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_mk__disjoint__insert)). 26.76/12.18 thf(367,plain,((! [A:secrecy_specID,B:set_Secrecy_specID]: ((member740727610specID @ A @ B) => (? [C:set_Secrecy_specID]: (~ (member740727610specID @ A @ C) & (B = (insert1671894227specID @ A @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 26.76/12.18 thf(94,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)). 26.76/12.18 thf(552,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)],[94])). 26.76/12.18 thf(197,axiom,((! [A:secrecy_Keys,B:secrecy_Secrets]: ((secrecy_kKS @ A) != (secrecy_sKS @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_KS_Odistinct_I1_J)). 26.76/12.18 thf(943,plain,((! [A:secrecy_Keys,B:secrecy_Secrets]: ~ ((secrecy_kKS @ A) = (secrecy_sKS @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[197])). 26.76/12.18 thf(215,axiom,((notSpe1586871396tsExpr = (^ [A:secrecy_specID,B:list_S529945141ession]: (! [C:secrecy_Keys]: ((mem_Se1967555118ession @ (secrecy_kE @ C) @ B) => (~ (member_Secrecy_KS @ (secrecy_kKS @ C) @ (specKeysSecrets @ A)))) & ! [C:secrecy_Secrets]: ((~ (member_Secrecy_KS @ (secrecy_sKS @ C) @ (specKeysSecrets @ A))) <= (mem_Se1967555118ession @ (secrecy_sE @ C) @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_317_notSpecKeysSecretsExpr__def)). 26.76/12.18 thf(1022,plain,(((notSpe1586871396tsExpr) = (^ [A:secrecy_specID,B:list_S529945141ession]: (! [C:secrecy_Keys]: ((mem_Se1967555118ession @ (secrecy_kE @ C) @ B) => (~ (member_Secrecy_KS @ (secrecy_kKS @ C) @ (specKeysSecrets @ A)))) & ! [C:secrecy_Secrets]: (~ (member_Secrecy_KS @ (secrecy_sKS @ C) @ (specKeysSecrets @ A)) | ~ (mem_Se1967555118ession @ (secrecy_sE @ C) @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[215])). 26.76/12.18 thf(171,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc990227761ionOut @ A) => ((out_exprChannelSet @ B @ D @ E) => ((out_exprChannelSet @ C @ F @ E) => (((~ (eout @ A @ E)) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) <= (member1967978193chanID @ G @ F)))) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) <= (member1967978193chanID @ G @ D)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_TBtheorem5a__notPQ)). 26.76/12.18 thf(827,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:set_Secrecy_chanID,E:secrecy_Expression,F:set_Secrecy_chanID]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc990227761ionOut @ A) => ((out_exprChannelSet @ B @ D @ E) => ((out_exprChannelSet @ C @ F @ E) => (~ (eout @ A @ E) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) | ~ (member1967978193chanID @ G @ F))) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) | ~ (member1967978193chanID @ G @ D)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[171])). 26.76/12.18 thf(132,axiom,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ bot_bo1943466239ecy_KS) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_sup__bot__right)). 26.76/12.18 thf(695,plain,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ A @ bot_bo1943466239ecy_KS) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[132])). 26.76/12.18 thf(61,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_Un__absorb)). 26.76/12.18 thf(455,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])). 26.76/12.18 thf(14,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ((insert751661162chanID @ A @ B) != bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_insert__not__empty)). 26.76/12.18 thf(306,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: ~ ((insert751661162chanID @ A @ B) = bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 26.76/12.18 thf(239,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_173_know_Osimps_I1_J)). 26.76/12.18 thf(1113,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)],[239])). 26.76/12.18 thf(236,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys]: (((correc965049635ionLoc @ A) => (((((~ (ine @ B @ (secrecy_kE @ D))) => ((~ (ine @ C @ (secrecy_kE @ D))) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C))))))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ C)))) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ B)))) <= (correctCompositionKS @ A))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_LocalSecretsComposition__neg__k)). 26.76/12.18 thf(1102,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys]: (((correc965049635ionLoc @ A) => (((~ (ine @ B @ (secrecy_kE @ D))) => ((~ (ine @ C @ (secrecy_kE @ D))) => (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A)) | (member_Secrecy_KS @ (secrecy_kKS @ D) @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C)))))) | (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ C)) | (member_Secrecy_KS @ (secrecy_kKS @ D) @ (specKeysSecrets @ B)) | ~ (correctCompositionKS @ A))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[236])). 26.76/12.18 thf(193,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((correctCompositionIn @ E) => ((ineM @ E @ B @ C) <= (? [F:secrecy_chanID]: (((member1967978193chanID @ F @ (ins @ D)) | (member1967978193chanID @ F @ (ins @ A))) & ~ (member1967978193chanID @ F @ (loc @ E)) & (exprChannel @ F @ C) & (member1967978193chanID @ F @ B))))) <= ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID)))) <= ((ineM @ D @ B @ C) | (ineM @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_TBtheorem4b__PQ)). 26.76/12.18 thf(922,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: (((correctCompositionIn @ E) => ((ineM @ E @ B @ C) | ~ (? [F:secrecy_chanID]: (((member1967978193chanID @ F @ (ins @ D)) | (member1967978193chanID @ F @ (ins @ A))) & ~ (member1967978193chanID @ F @ (loc @ E)) & (exprChannel @ F @ C) & (member1967978193chanID @ F @ B))))) | ~ ((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) | ~ ((ineM @ D @ B @ C) | (ineM @ A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[193])). 26.76/12.18 thf(226,axiom,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_chanID]: ((((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (specKeysSecrets @ B))) => (~ (member1967978193chanID @ C @ (loc @ B)))) <= (exprChannel @ C @ (secrecy_sE @ A))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_LocalSecretsComposition__neg__loc__s)). 26.76/12.18 thf(1066,plain,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_chanID]: (((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (specKeysSecrets @ B))) => (~ (member1967978193chanID @ C @ (loc @ B)))) | ~ (exprChannel @ C @ (secrecy_sE @ A)) | (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[226])). 26.76/12.18 thf(177,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 = D) & (B = C)) | ((A = C) & (B = D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_doubleton__eq__iff)). 26.76/12.18 thf(868,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 = D) & (B = C)) | ((A = C) & (B = D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[177])). 26.76/12.18 thf(78,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((bot_bo443197316chanID = (sup_su370684444chanID @ A @ B)) = ((B = bot_bo443197316chanID) & (A = bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_bot__eq__sup__iff)). 26.76/12.18 thf(505,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: ((bot_bo443197316chanID = (sup_su370684444chanID @ A @ B)) = ((B = bot_bo443197316chanID) & (A = bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[78])). 26.76/12.18 thf(56,axiom,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((A = bot_bo443197316chanID) => (~ (member1967978193chanID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_equals0D)). 26.76/12.18 thf(438,plain,((! [A:set_Secrecy_chanID,B:secrecy_chanID]: ((A = bot_bo443197316chanID) => (~ (member1967978193chanID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 26.76/12.18 thf(218,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys]: (((correc965049635ionLoc @ A) => (((~ (ine @ C @ (secrecy_kE @ D))) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ B))) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ C))) => (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A)))))) <= (~ (ine @ B @ (secrecy_kE @ D))))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_LocalSecretsComposition__neg1__k)). 26.76/12.18 thf(1034,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Keys]: (((correc965049635ionLoc @ A) => (((~ (ine @ C @ (secrecy_kE @ D))) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ B))) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ C))) => (~ (member_Secrecy_KS @ (secrecy_kKS @ D) @ (localSecrets @ A)))))) | (ine @ B @ (secrecy_kE @ D)))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[218])). 26.76/12.18 thf(52,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_109_insertE)). 26.76/12.18 thf(426,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)],[52])). 26.76/12.18 thf(265,axiom,((~ (member_Secrecy_KS @ m @ (specKeysSecrets @ p)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_notKSP)). 26.76/12.18 thf(1203,plain,((~ (member_Secrecy_KS @ m @ (specKeysSecrets @ p)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[265])). 26.76/12.18 thf(128,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID,E:set_Secrecy_chanID]: ((~ (ine @ A @ B)) => (((subcomponents @ C) = (insert1671894227specID @ D @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => ((correctCompositionIn @ C) => (((! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ C)) <= (member1967978193chanID @ F @ E))) => (~ (ine @ C @ B))) <= (ine_exprChannelSet @ D @ E @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_TBtheorem4a__notP2)). 26.76/12.18 thf(680,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID,E:set_Secrecy_chanID]: ((~ (ine @ A @ B)) => (((subcomponents @ C) = (insert1671894227specID @ D @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => ((correctCompositionIn @ C) => (((! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (loc @ C)) | ~ (member1967978193chanID @ F @ E))) => (~ (ine @ C @ B))) | ~ (ine_exprChannelSet @ D @ E @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[128])). 26.76/12.18 thf(36,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_Un__empty__left)). 26.76/12.18 thf(374,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ bot_bo1785112429specID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 26.76/12.18 thf(246,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((((((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A))) => (((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_sE @ D))) <= (correctCompositionIn @ A))) <= (exprChannel @ E @ (secrecy_sE @ D))) <= (member1967978193chanID @ E @ (ins @ B))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A)))) <= (correctCompositionKS @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_correctCompositionKS__exprChannel__s__P)). 26.76/12.18 thf(1134,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets,E:secrecy_chanID]: (((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (specKeysSecrets @ A))) => (((member1967978193chanID @ E @ (ins @ A)) & (exprChannel @ E @ (secrecy_sE @ D))) | ~ (correctCompositionIn @ A))) | ~ (exprChannel @ E @ (secrecy_sE @ D)) | ~ (member1967978193chanID @ E @ (ins @ B)) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A)) | ~ (correctCompositionKS @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[246])). 26.76/12.18 thf(149,axiom,((ine @ p @ (secrecy_kE @ key))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_a11)). 26.76/12.18 thf(749,plain,((ine @ p @ (secrecy_kE @ key))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[149])). 26.76/12.18 thf(196,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]: ((exprChannel @ F @ C) & (member1967978193chanID @ F @ B) & ~ (member1967978193chanID @ F @ (loc @ D)) & (member1967978193chanID @ F @ (out @ E)))) => (eoutM @ D @ B @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_TBtheore54b__P)). 26.76/12.18 thf(939,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]: ((exprChannel @ F @ C) & (member1967978193chanID @ F @ B) & ~ (member1967978193chanID @ F @ (loc @ D)) & (member1967978193chanID @ F @ (out @ E)))) => (eoutM @ D @ B @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[196])). 26.76/12.18 thf(249,axiom,((correctCompositionKS @ pq)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_cCompKS)). 26.76/12.18 thf(1145,plain,((correctCompositionKS @ pq)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[249])). 26.76/12.18 thf(62,axiom,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_empty__iff)). 26.76/12.18 thf(458,plain,((! [A:secrecy_chanID]: ~ (member1967978193chanID @ A @ bot_bo443197316chanID))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])). 26.76/12.18 thf(114,axiom,((is_sin1501507247specID = (^ [A:set_Secrecy_specID]: ? [B:secrecy_specID]: (A = (insert1671894227specID @ B @ bot_bo1785112429specID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_is__singleton__def)). 26.76/12.18 thf(617,plain,(((is_sin1501507247specID) = (^ [A:set_Secrecy_specID]: ? [B:secrecy_specID]: (A = (insert1671894227specID @ B @ bot_bo1785112429specID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[114])). 26.76/12.18 thf(82,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_sup__bot_Oright__neutral)). 26.76/12.18 thf(516,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[82])). 26.76/12.18 thf(85,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((A = C) <= (~ (member740727610specID @ A @ B))) => (member740727610specID @ A @ (insert1671894227specID @ C @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_insertCI)). 26.76/12.18 thf(525,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((A = C) | (member740727610specID @ A @ B)) => (member740727610specID @ A @ (insert1671894227specID @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[85])). 26.76/12.18 thf(130,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_254_Un__commute)). 26.76/12.18 thf(690,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)],[130])). 26.76/12.18 thf(252,axiom,((! [A:set_Secrecy_KS]: ((! [B:secrecy_KS]: ~ (member_Secrecy_KS @ B @ A)) = (A = bot_bo1943466239ecy_KS)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_all__not__in__conv)). 26.76/12.18 thf(1156,plain,((! [A:set_Secrecy_KS]: ((! [B:secrecy_KS]: ~ (member_Secrecy_KS @ B @ A)) = (A = bot_bo1943466239ecy_KS)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[252])). 26.76/12.18 thf(136,axiom,((ine_ex1303305700Single = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((member1967978193chanID @ B @ (ins @ A)) & (exprChannel @ B @ C) & ! [D:secrecy_chanID,E:nat]: (((member1967978193chanID @ D @ (ins @ A)) & (D != B)) => (~ (exprChannel @ D @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_ine__exprChannelSingle__def)). 26.76/12.18 thf(707,plain,(((ine_ex1303305700Single) = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((member1967978193chanID @ B @ (ins @ A)) & (exprChannel @ B @ C) & ! [D:secrecy_chanID]: (((member1967978193chanID @ D @ (ins @ A)) & ~ (D = B)) => (~ (exprChannel @ D @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[136])). 26.76/12.18 thf(183,axiom,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ bot_bo1943466239ecy_KS @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_306_sup__bot__left)). 26.76/12.18 thf(887,plain,((! [A:set_Secrecy_KS]: ((sup_su1301156759ecy_KS @ bot_bo1943466239ecy_KS @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[183])). 26.76/12.18 thf(46,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_24_insert__iff)). 26.76/12.18 thf(409,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)],[46])). 26.76/12.18 thf(209,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 @ C))) => ((((~ (member_Secrecy_KS @ D @ (localSecrets @ A))) <= (~ (member_Secrecy_KS @ D @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C))))) <= (! [E:secrecy_Secrets]: ((D = (secrecy_sKS @ E)) => (~ (ine @ B @ (secrecy_sE @ E)) & ~ (ine @ C @ (secrecy_sE @ E)))))) <= (! [E:secrecy_Keys]: ((~ (ine @ B @ (secrecy_kE @ E)) & ~ (ine @ C @ (secrecy_kE @ E))) <= (D = (secrecy_kKS @ E)))))) <= (~ (member_Secrecy_KS @ D @ (specKeysSecrets @ B))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_LocalSecretsComposition__neg)). 26.76/12.18 thf(993,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 @ C))) => (~ (member_Secrecy_KS @ D @ (localSecrets @ A)) | (member_Secrecy_KS @ D @ (sup_su1301156759ecy_KS @ (localSecrets @ B) @ (localSecrets @ C))) | ~ (! [E:secrecy_Secrets]: ((D = (secrecy_sKS @ E)) => (~ (ine @ B @ (secrecy_sE @ E)) & ~ (ine @ C @ (secrecy_sE @ E))))) | ~ (! [E:secrecy_Keys]: ((~ (ine @ B @ (secrecy_kE @ E)) & ~ (ine @ C @ (secrecy_kE @ E))) | ~ (D = (secrecy_kKS @ E)))))) | (member_Secrecy_KS @ D @ (specKeysSecrets @ B)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[209])). 26.76/12.18 thf(138,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID,E:secrecy_Expression]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ A) => (((exprChannel @ D @ E) => ((member1967978193chanID @ D @ (loc @ A)) <= (! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) => (~ (exprChannel @ F @ E)))))) <= (member1967978193chanID @ D @ (ins @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_correctCompositionInLoc__exprChannel)). 26.76/12.18 thf(712,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID,E:secrecy_Expression]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ A) => (((exprChannel @ D @ E) => ((member1967978193chanID @ D @ (loc @ A)) | ~ (! [F:secrecy_chanID]: ((member1967978193chanID @ F @ (ins @ A)) => (~ (exprChannel @ F @ E)))))) | ~ (member1967978193chanID @ D @ (ins @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[138])). 26.76/12.18 thf(96,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_308_sup__bot__left)). 26.76/12.18 thf(557,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[96])). 26.76/12.18 thf(210,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: (((member_Secrecy_KS @ A @ C) <= (~ (member_Secrecy_KS @ A @ B))) <= (member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_UnE)). 26.76/12.18 thf(1003,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ C) | (member_Secrecy_KS @ A @ B) | ~ (member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[210])). 26.76/12.18 thf(235,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 @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_correctCompositionKS__negQ)). 26.76/12.18 thf(1098,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 @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[235])). 26.76/12.18 thf(15,axiom,((! [A:secrecy_chanID,B:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_singleton__iff)). 26.76/12.18 thf(310,plain,((! [A:secrecy_chanID,B:secrecy_chanID]: ((member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 26.76/12.18 thf(224,axiom,((! [A:set_Secrecy_KS]: ((? [B:secrecy_KS]: (member_Secrecy_KS @ B @ A)) = (A != bot_bo1943466239ecy_KS)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_ex__in__conv)). 26.76/12.18 thf(1053,plain,((! [A:set_Secrecy_KS]: ((? [B:secrecy_KS]: (member_Secrecy_KS @ B @ A)) = (~ (A = bot_bo1943466239ecy_KS))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[224])). 26.76/12.18 thf(260,axiom,((! [A:secrecy_KS,B:secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ B @ bot_bo1943466239ecy_KS)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_singleton__iff)). 26.76/12.18 thf(1186,plain,((! [A:secrecy_KS,B:secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ B @ bot_bo1943466239ecy_KS)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[260])). 26.76/12.18 thf(219,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc965049635ionLoc @ A) => ((((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ B))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A))) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ C))))) <= (~ (ine @ C @ (secrecy_sE @ D)))) <= (~ (ine @ B @ (secrecy_sE @ D)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_286_LocalSecretsComposition__neg1__s)). 26.76/12.18 thf(1038,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_Secrets]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc965049635ionLoc @ A) => (((~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ B))) => (~ (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ A)) | (member_Secrecy_KS @ (secrecy_sKS @ D) @ (localSecrets @ C)))) | (ine @ C @ (secrecy_sE @ D)) | (ine @ B @ (secrecy_sE @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[219])). 26.76/12.18 thf(77,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_305_sup__eq__bot__iff)). 26.76/12.18 thf(502,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)],[77])). 26.76/12.18 thf(173,axiom,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correc990227761ionOut @ E) => ((eoutM @ E @ B @ C) <= (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ B) & ~ (member1967978193chanID @ F @ (loc @ E)) & (exprChannel @ F @ C) & ((member1967978193chanID @ F @ (out @ D)) | (member1967978193chanID @ F @ (out @ A)))))))) <= ((eoutM @ A @ B @ C) | (eoutM @ D @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_343_TBtheorem5b__PQ)). 26.76/12.18 thf(840,plain,((! [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression,D:secrecy_specID,E:secrecy_specID]: ((((subcomponents @ E) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((correc990227761ionOut @ E) => ((eoutM @ E @ B @ C) | ~ (? [F:secrecy_chanID]: ((member1967978193chanID @ F @ B) & ~ (member1967978193chanID @ F @ (loc @ E)) & (exprChannel @ F @ C) & ((member1967978193chanID @ F @ (out @ D)) | (member1967978193chanID @ F @ (out @ A)))))))) | ~ ((eoutM @ A @ B @ C) | (eoutM @ D @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[173])). 26.76/12.18 thf(24,axiom,((! [A:secrecy_chanID,B:secrecy_chanID]: ((A = B) <= (member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_singletonD)). 26.76/12.18 thf(338,plain,((! [A:secrecy_chanID,B:secrecy_chanID]: ((A = B) | ~ (member1967978193chanID @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 26.76/12.18 thf(102,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_225_Un__insert__right)). 26.76/12.18 thf(576,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)],[102])). 26.76/12.18 thf(164,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_269_KS_Oinduct)). 26.76/12.18 thf(808,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)],[164])). 26.76/12.18 thf(91,axiom,((! [A:set_Secrecy_specID]: ((! [B:secrecy_specID]: ~ (member740727610specID @ B @ A)) = (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_all__not__in__conv)). 26.76/12.18 thf(544,plain,((! [A:set_Secrecy_specID]: ((! [B:secrecy_specID]: ~ (member740727610specID @ B @ A)) = (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[91])). 26.76/12.18 thf(176,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: (((((member1967978193chanID @ D @ (ins @ B)) | (member1967978193chanID @ D @ (ins @ C))) <= (member1967978193chanID @ D @ (ins @ A))) <= (correctCompositionIn @ A)) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_correctCompositionIn__L2)). 26.76/12.18 thf(864,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_chanID]: ((member1967978193chanID @ D @ (ins @ B)) | (member1967978193chanID @ D @ (ins @ C)) | ~ (member1967978193chanID @ D @ (ins @ A)) | ~ (correctCompositionIn @ A) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[176])). 26.76/12.18 thf(112,axiom,((! [A:secrecy_specID,B:secrecy_Secrets]: ((~ (ine @ A @ (secrecy_sE @ B))) <= (~ (knowle945212990e_know @ A @ (secrecy_sKS @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_267_not__know__s__not__ine)). 26.76/12.18 thf(612,plain,((! [A:secrecy_specID,B:secrecy_Secrets]: (~ (ine @ A @ (secrecy_sE @ B)) | (knowle945212990e_know @ A @ (secrecy_sKS @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[112])). 26.76/12.18 thf(208,axiom,((bot_bot_Secrecy_KS_o = (^ [A:secrecy_KS]: (member_Secrecy_KS @ A @ bot_bo1943466239ecy_KS)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_bot__empty__eq)). 26.76/12.18 thf(991,plain,(((bot_bot_Secrecy_KS_o) = (^ [A:secrecy_KS]: (member_Secrecy_KS @ A @ bot_bo1943466239ecy_KS)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[208])). 26.76/12.18 thf(40,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_Un__empty__right)). 26.76/12.18 thf(386,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ A @ bot_bo443197316chanID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 26.76/12.18 thf(205,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_8_correctCompositionKS__neg1)). 26.76/12.18 thf(978,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)],[205])). 26.76/12.18 thf(247,axiom,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((((correc965049635ionLoc @ B) => ((~ (ine @ D @ (secrecy_sE @ A))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ C))) => ((ine @ C @ (secrecy_sE @ A)) <= (~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ D))))))) <= ((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID)))) <= (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_LocalSecretsComposition__ine1__s)). 26.76/12.18 thf(1140,plain,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: (((correc965049635ionLoc @ B) => ((~ (ine @ D @ (secrecy_sE @ A))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ C))) => ((ine @ C @ (secrecy_sE @ A)) | (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ D)))))) | ~ ((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) | ~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[247])). 26.76/12.18 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_302_sup__bot_Oeq__neutr__iff)). 26.76/12.18 thf(446,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])). 26.76/12.18 thf(100,axiom,((out_ex985543062Single = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((member1967978193chanID @ B @ (out @ A)) & (exprChannel @ B @ C) & ! [D:secrecy_chanID,E:nat]: (((D != B) & (member1967978193chanID @ D @ (out @ A))) => (~ (exprChannel @ D @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_out__exprChannelSingle__def)). 26.76/12.18 thf(571,plain,(((out_ex985543062Single) = (^ [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((member1967978193chanID @ B @ (out @ A)) & (exprChannel @ B @ C) & ! [D:secrecy_chanID]: ((~ (D = B) & (member1967978193chanID @ D @ (out @ A))) => (~ (exprChannel @ D @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[100])). 26.76/12.18 thf(231,axiom,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => ((((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ C))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ D))) => (ine @ D @ (secrecy_sE @ A)))) <= (~ (ine @ C @ (secrecy_sE @ A)))) <= (correc965049635ionLoc @ B))) <= (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_LocalSecretsComposition__ine2__s)). 26.76/12.18 thf(1084,plain,((! [A:secrecy_Secrets,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))) => (((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ C))) => ((~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ D))) => (ine @ D @ (secrecy_sE @ A)))) | (ine @ C @ (secrecy_sE @ A)) | ~ (correc965049635ionLoc @ B))) | ~ (member_Secrecy_KS @ (secrecy_sKS @ A) @ (localSecrets @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[231])). 26.76/12.18 thf(258,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ B) => (member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_UnI1)). 26.76/12.18 thf(1180,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ B) => (member_Secrecy_KS @ A @ (sup_su1301156759ecy_KS @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[258])). 26.76/12.18 thf(32,axiom,((eoutM = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ? [D:secrecy_chanID]: ((member1967978193chanID @ D @ (out @ A)) & (exprChannel @ D @ C) & (member1967978193chanID @ D @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_347_eoutM__def)). 26.76/12.18 thf(363,plain,(((eoutM) = (^ [A:secrecy_specID,B:set_Secrecy_chanID,C:secrecy_Expression]: ? [D:secrecy_chanID]: ((member1967978193chanID @ D @ (out @ A)) & (exprChannel @ D @ C) & (member1967978193chanID @ D @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 26.76/12.18 thf(261,axiom,((! [A:secrecy_specID,B:secrecy_Secrets]: ((knowle945212990e_know @ A @ (secrecy_sKS @ B)) = ((member_Secrecy_KS @ (secrecy_sKS @ B) @ (localSecrets @ A)) | (ine @ A @ (secrecy_sE @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_know_Osimps_I2_J)). 26.76/12.18 thf(1189,plain,((! [A:secrecy_specID,B:secrecy_Secrets]: ((knowle945212990e_know @ A @ (secrecy_sKS @ B)) = ((member_Secrecy_KS @ (secrecy_sKS @ B) @ (localSecrets @ A)) | (ine @ A @ (secrecy_sE @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[261])). 26.76/12.18 thf(202,axiom,((! [A:secrecy_Keys]: ((secrec1016742679ession @ (secrecy_kKS @ A)) = (secrecy_kE @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_KS2Expression_Osimps_I1_J)). 26.76/12.18 thf(963,plain,((! [A:secrecy_Keys]: ((secrec1016742679ession @ (secrecy_kKS @ A)) = (secrecy_kE @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[202])). 26.76/12.18 thf(18,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID,D:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((((insert751661162chanID @ A @ B) = (insert751661162chanID @ C @ D)) = (((B = D) <= (A = C)) & ((? [E:set_Secrecy_chanID]: (~ (member1967978193chanID @ C @ E) & (D = (insert751661162chanID @ A @ E)) & ~ (member1967978193chanID @ A @ E) & (B = (insert751661162chanID @ C @ E)))) <= (A != C)))) <= (~ (member1967978193chanID @ C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_insert__eq__iff)). 26.76/12.18 thf(319,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID,D:set_Secrecy_chanID]: ((~ (member1967978193chanID @ A @ B)) => ((((insert751661162chanID @ A @ B) = (insert751661162chanID @ C @ D)) = (((B = D) | ~ (A = C)) & (? [E:set_Secrecy_chanID]: (~ (member1967978193chanID @ C @ E) & (D = (insert751661162chanID @ A @ E)) & ~ (member1967978193chanID @ A @ E) & (B = (insert751661162chanID @ C @ E))) | (A = C)))) | (member1967978193chanID @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 26.76/12.18 thf(185,axiom,((ine = (^ [A:secrecy_specID,B:secrecy_Expression]: ? [C:secrecy_chanID]: ((exprChannel @ C @ B) & (member1967978193chanID @ C @ (ins @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_ine__def)). 26.76/12.18 thf(896,plain,(((ine) = (^ [A:secrecy_specID,B:secrecy_Expression]: ? [C:secrecy_chanID]: ((exprChannel @ C @ B) & (member1967978193chanID @ C @ (ins @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[185])). 26.76/12.18 thf(121,axiom,((! [A:set_Secrecy_KS,B:set_Secrecy_KS]: ((bot_bo1943466239ecy_KS = (sup_su1301156759ecy_KS @ A @ B)) = ((B = bot_bo1943466239ecy_KS) & (A = bot_bo1943466239ecy_KS))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_sup__bot_Oneutr__eq__iff)). 26.76/12.18 thf(652,plain,((! [A:set_Secrecy_KS,B:set_Secrecy_KS]: ((bot_bo1943466239ecy_KS = (sup_su1301156759ecy_KS @ A @ B)) = ((B = bot_bo1943466239ecy_KS) & (A = bot_bo1943466239ecy_KS))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[121])). 26.76/12.18 thf(217,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 @ B))) <= (~ (member_Secrecy_KS @ D @ (specKeysSecrets @ A)))) <= (correctCompositionKS @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_correctCompositionKS__negP)). 26.76/12.18 thf(1030,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 @ B)) | (member_Secrecy_KS @ D @ (specKeysSecrets @ A)) | ~ (correctCompositionKS @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[217])). 26.76/12.18 thf(99,axiom,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_sup__bot_Oleft__neutral)). 26.76/12.18 thf(568,plain,((! [A:set_Secrecy_chanID]: ((sup_su370684444chanID @ bot_bo443197316chanID @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[99])). 26.76/12.18 thf(39,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 @ A) & (C @ D)) | ? [D:secrecy_chanID]: ((C @ D) & (member1967978193chanID @ D @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_247_bex__Un)). 26.76/12.18 thf(383,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 @ A) & (C @ D)) | ? [D:secrecy_chanID]: ((C @ D) & (member1967978193chanID @ D @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 26.76/12.18 thf(54,axiom,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_sup__bot__right)). 26.76/12.18 thf(433,plain,((! [A:set_Secrecy_specID]: ((sup_su1712599557specID @ A @ bot_bo1785112429specID) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])). 26.76/12.18 thf(80,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_332_not__eout__eoutM)). 26.76/12.18 thf(510,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)],[80])). 26.76/12.18 thf(229,axiom,((! [A:secrecy_KS,B:secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ B @ C)) => ((A != B) => (member_Secrecy_KS @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_insertE)). 26.76/12.18 thf(1077,plain,((! [A:secrecy_KS,B:secrecy_KS,C:set_Secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ B @ C)) => ((~ (A = B)) => (member_Secrecy_KS @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[229])). 26.76/12.18 thf(69,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_210_UnCI)). 26.76/12.18 thf(478,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)],[69])). 26.76/12.18 thf(240,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS]: (((insert_Secrecy_KS @ A @ B) = B) <= (member_Secrecy_KS @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_insert__absorb)). 26.76/12.18 thf(1116,plain,((! [A:secrecy_KS,B:set_Secrecy_KS]: (((insert_Secrecy_KS @ A @ B) = B) | ~ (member_Secrecy_KS @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[240])). 26.76/12.18 thf(12,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_227_Un__insert__right)). 26.76/12.18 thf(300,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)],[12])). 26.76/12.18 thf(151,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)) => (((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => ((correc990227761ionOut @ D) => ((out_exprChannelSet @ E @ F @ C) => ((! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ D)) <= (member1967978193chanID @ G @ F))) => (~ (eoutM @ D @ B @ C))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_TBtheorem5b__notP2)). 26.76/12.18 thf(752,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)) => (((subcomponents @ D) = (insert1671894227specID @ E @ (insert1671894227specID @ A @ bot_bo1785112429specID))) => ((correc990227761ionOut @ D) => ((out_exprChannelSet @ E @ F @ C) => ((! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ D)) | ~ (member1967978193chanID @ G @ F))) => (~ (eoutM @ D @ B @ C))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[151])). 26.76/12.18 thf(199,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_chanID]: ((~ (ine @ A @ B)) => ((exprChannel @ C @ B) => (~ (member1967978193chanID @ C @ (ins @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_ine__ins__neg1)). 26.76/12.18 thf(950,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_chanID]: ((~ (ine @ A @ B)) => ((exprChannel @ C @ B) => (~ (member1967978193chanID @ C @ (ins @ A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[199])). 26.76/12.18 thf(45,axiom,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((~ (member740727610specID @ A @ B)) => ((((insert1671894227specID @ A @ B) = (insert1671894227specID @ A @ C)) = (B = C)) <= (~ (member740727610specID @ A @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_insert__ident)). 26.76/12.18 thf(405,plain,((! [A:secrecy_specID,B:set_Secrecy_specID,C:set_Secrecy_specID]: ((~ (member740727610specID @ A @ B)) => ((((insert1671894227specID @ A @ B) = (insert1671894227specID @ A @ C)) = (B = C)) | (member740727610specID @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])). 26.76/12.18 thf(109,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => ((((eout @ C @ B) <= (? [E:secrecy_chanID]: (~ (member1967978193chanID @ E @ (loc @ C)) & (exprChannel @ E @ B) & (member1967978193chanID @ E @ (out @ A))))) <= (correc990227761ionOut @ C)) <= ((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_351_TBtheorem45a__P)). 26.76/12.18 thf(603,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: ((eout @ A @ B) => ((eout @ C @ B) | ~ (? [E:secrecy_chanID]: (~ (member1967978193chanID @ E @ (loc @ C)) & (exprChannel @ E @ B) & (member1967978193chanID @ E @ (out @ A)))) | ~ (correc990227761ionOut @ C) | ~ ((subcomponents @ C) = (insert1671894227specID @ A @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[109])). 26.76/12.18 thf(25,axiom,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_insertI1)). 26.76/12.18 thf(341,plain,((! [A:secrecy_chanID,B:set_Secrecy_chanID]: (member1967978193chanID @ A @ (insert751661162chanID @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 26.76/12.18 thf(1,conjecture,((~ (member_Secrecy_KS @ m @ (specKeysSecrets @ pq)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 26.76/12.18 thf(2,negated_conjecture,((~ (~ (member_Secrecy_KS @ m @ (specKeysSecrets @ pq))))),inference(neg_conjecture,[status(cth)],[1])). 26.76/12.18 thf(268,plain,((~ (~ (member_Secrecy_KS @ m @ (specKeysSecrets @ pq))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 26.76/12.18 thf(155,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_150_not__know__k__not__ine)). 26.76/12.18 thf(767,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)],[155])). 26.76/12.18 thf(225,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc965049635ionLoc @ A) => ((! [E:secrecy_Keys]: ((~ (ine @ C @ (secrecy_kE @ E)) & ~ (ine @ B @ (secrecy_kE @ E))) <= (D = (secrecy_kKS @ E)))) => ((((~ (member_Secrecy_KS @ D @ (localSecrets @ C))) => (~ (member_Secrecy_KS @ D @ (localSecrets @ A)))) <= (~ (member_Secrecy_KS @ D @ (localSecrets @ B)))) <= (! [E:secrecy_Secrets]: ((~ (ine @ B @ (secrecy_sE @ E)) & ~ (ine @ C @ (secrecy_sE @ E))) <= (D = (secrecy_sKS @ E)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_LocalSecretsComposition__neg1)). 26.76/12.18 thf(1056,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correc965049635ionLoc @ A) => ((! [E:secrecy_Keys]: ((~ (ine @ C @ (secrecy_kE @ E)) & ~ (ine @ B @ (secrecy_kE @ E))) | ~ (D = (secrecy_kKS @ E)))) => (((~ (member_Secrecy_KS @ D @ (localSecrets @ C))) => (~ (member_Secrecy_KS @ D @ (localSecrets @ A)))) | (member_Secrecy_KS @ D @ (localSecrets @ B)) | ~ (! [E:secrecy_Secrets]: ((~ (ine @ B @ (secrecy_sE @ E)) & ~ (ine @ C @ (secrecy_sE @ E))) | ~ (D = (secrecy_sKS @ E)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[225])). 26.76/12.18 thf(255,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS,C:secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ C @ B)) <= (member_Secrecy_KS @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_insertI2)). 26.76/12.18 thf(1165,plain,((! [A:secrecy_KS,B:set_Secrecy_KS,C:secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ C @ B)) | ~ (member_Secrecy_KS @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[255])). 26.76/12.18 thf(7,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_108_insertE)). 26.76/12.18 thf(283,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)],[7])). 26.76/12.18 thf(48,axiom,((sup_su370684444chanID = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (sup_su370684444chanID @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_255_Un__commute)). 26.76/12.18 thf(415,plain,(((sup_su370684444chanID) = (^ [A:set_Secrecy_chanID,B:set_Secrecy_chanID]: (sup_su370684444chanID @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 26.76/12.18 thf(10,axiom,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = (insert751661162chanID @ C @ bot_bo443197316chanID)) = (((A = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (B = (insert751661162chanID @ C @ bot_bo443197316chanID))) | ((B = bot_bo443197316chanID) & (A = (insert751661162chanID @ C @ bot_bo443197316chanID))) | ((A = bot_bo443197316chanID) & (B = (insert751661162chanID @ C @ bot_bo443197316chanID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_278_Un__singleton__iff)). 26.76/12.18 thf(294,plain,((! [A:set_Secrecy_chanID,B:set_Secrecy_chanID,C:secrecy_chanID]: (((sup_su370684444chanID @ A @ B) = (insert751661162chanID @ C @ bot_bo443197316chanID)) = (((A = (insert751661162chanID @ C @ bot_bo443197316chanID)) & (B = (insert751661162chanID @ C @ bot_bo443197316chanID))) | ((B = bot_bo443197316chanID) & (A = (insert751661162chanID @ C @ bot_bo443197316chanID))) | ((A = bot_bo443197316chanID) & (B = (insert751661162chanID @ C @ bot_bo443197316chanID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 26.76/12.18 thf(162,axiom,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((sup_su1712599557specID @ A @ B) = (insert1671894227specID @ C @ bot_bo1785112429specID)) = (((A = (insert1671894227specID @ C @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((B = bot_bo1785112429specID) & (A = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((A = bot_bo1785112429specID) & (B = (insert1671894227specID @ C @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_277_Un__singleton__iff)). 26.76/12.18 thf(801,plain,((! [A:set_Secrecy_specID,B:set_Secrecy_specID,C:secrecy_specID]: (((sup_su1712599557specID @ A @ B) = (insert1671894227specID @ C @ bot_bo1785112429specID)) = (((A = (insert1671894227specID @ C @ bot_bo1785112429specID)) & (B = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((B = bot_bo1785112429specID) & (A = (insert1671894227specID @ C @ bot_bo1785112429specID))) | ((A = bot_bo1785112429specID) & (B = (insert1671894227specID @ C @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[162])). 26.76/12.18 thf(43,axiom,((! [A:set_Secrecy_specID]: ((A != bot_bo1785112429specID) => ((is_sin1501507247specID @ A) <= (! [B:secrecy_specID,C:secrecy_specID]: ((member740727610specID @ B @ A) => ((member740727610specID @ C @ A) => (B = C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_is__singletonI_H)). 26.76/12.18 thf(395,plain,((! [A:set_Secrecy_specID]: ((~ (A = bot_bo1785112429specID)) => ((is_sin1501507247specID @ A) | ~ (! [B:secrecy_specID,C:secrecy_specID]: ((member740727610specID @ B @ A) => ((member740727610specID @ C @ A) => (B = C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 26.76/12.18 thf(64,axiom,((! [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((out_exprChannelSet @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID) @ C) => (out_ex985543062Single @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_out__exprChannelSet__Single)). 26.76/12.18 thf(464,plain,((! [A:secrecy_specID,B:secrecy_chanID,C:secrecy_Expression]: ((out_exprChannelSet @ A @ (insert751661162chanID @ B @ bot_bo443197316chanID) @ C) => (out_ex985543062Single @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])). 26.76/12.18 thf(251,axiom,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B)) => ((((~ (ine @ C @ (secrecy_kE @ A))) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ C))) => ((ine @ D @ (secrecy_kE @ A)) <= (~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ D)))))) <= (correc965049635ionLoc @ B)) <= ((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_LocalSecretsComposition__ine2__k)). 26.76/12.18 thf(1152,plain,((! [A:secrecy_Keys,B:secrecy_specID,C:secrecy_specID,D:secrecy_specID]: ((member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ B)) => (((~ (ine @ C @ (secrecy_kE @ A))) => ((~ (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ C))) => ((ine @ D @ (secrecy_kE @ A)) | (member_Secrecy_KS @ (secrecy_kKS @ A) @ (localSecrets @ D))))) | ~ (correc965049635ionLoc @ B) | ~ ((subcomponents @ B) = (insert1671894227specID @ C @ (insert1671894227specID @ D @ bot_bo1785112429specID))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[251])). 26.76/12.18 thf(175,axiom,((! [A:secrecy_chanID,B:secrecy_Secrets,C:secrecy_specID,D:secrecy_specID]: ((exprChannel @ A @ (secrecy_sE @ B)) => ((~ (ine @ C @ (secrecy_sE @ B))) => ((~ (ine @ D @ (secrecy_sE @ B))) => (~ (member1967978193chanID @ A @ (ins @ D)) & ~ (member1967978193chanID @ A @ (ins @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_287_LocalSecretsComposition__exprChannel__s)). 26.76/12.18 thf(860,plain,((! [A:secrecy_chanID,B:secrecy_Secrets,C:secrecy_specID,D:secrecy_specID]: ((exprChannel @ A @ (secrecy_sE @ B)) => ((~ (ine @ C @ (secrecy_sE @ B))) => ((~ (ine @ D @ (secrecy_sE @ B))) => (~ (member1967978193chanID @ A @ (ins @ D)) & ~ (member1967978193chanID @ A @ (ins @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[175])). 26.76/12.18 thf(174,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) => (((((! [G:secrecy_chanID]: ((member1967978193chanID @ G @ F) => (member1967978193chanID @ G @ (loc @ A)))) => (~ (ine @ A @ E))) <= (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) <= (member1967978193chanID @ G @ D)))) <= (ine_exprChannelSet @ C @ F @ E)) <= (ine_exprChannelSet @ B @ D @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_TBtheorem4a__notPQ)). 26.76/12.18 thf(850,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) => (((! [G:secrecy_chanID]: ((member1967978193chanID @ G @ F) => (member1967978193chanID @ G @ (loc @ A)))) => (~ (ine @ A @ E))) | ~ (! [G:secrecy_chanID]: ((member1967978193chanID @ G @ (loc @ A)) | ~ (member1967978193chanID @ G @ D))) | ~ (ine_exprChannelSet @ C @ F @ E) | ~ (ine_exprChannelSet @ B @ D @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[174])). 26.76/12.18 thf(206,axiom,((! [A:secrecy_KS]: ~ (member_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_emptyE)). 26.76/12.18 thf(982,plain,((! [A:secrecy_KS]: ~ (member_Secrecy_KS @ A @ bot_bo1943466239ecy_KS))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[206])). 26.76/12.18 thf(5,axiom,((! [A:secrecy_chanID,B:secrecy_chanID]: ((A = B) <= ((insert751661162chanID @ A @ bot_bo443197316chanID) = (insert751661162chanID @ B @ bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_singleton__inject)). 26.76/12.18 thf(277,plain,((! [A:secrecy_chanID,B:secrecy_chanID]: ((A = B) | ~ ((insert751661162chanID @ A @ bot_bo443197316chanID) = (insert751661162chanID @ B @ bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 26.76/12.18 thf(178,axiom,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((~ (ine @ C @ B)) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => ((? [E:secrecy_chanID]: ((ine_ex1303305700Single @ A @ E @ B) & (member1967978193chanID @ E @ (loc @ D)))) => (~ (ine @ D @ B)))))) <= (ine @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_TBtheorem4a__notP1)). 26.76/12.18 thf(871,plain,((! [A:secrecy_specID,B:secrecy_Expression,C:secrecy_specID,D:secrecy_specID]: (((~ (ine @ C @ B)) => (((subcomponents @ D) = (insert1671894227specID @ A @ (insert1671894227specID @ C @ bot_bo1785112429specID))) => ((correctCompositionIn @ D) => ((? [E:secrecy_chanID]: ((ine_ex1303305700Single @ A @ E @ B) & (member1967978193chanID @ E @ (loc @ D)))) => (~ (ine @ D @ B)))))) | ~ (ine @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[178])). 26.76/12.18 thf(110,axiom,((is_emp1849217361specID = (^ [A:set_Secrecy_specID]: (A = bot_bo1785112429specID)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_Set_Ois__empty__def)). 26.76/12.18 thf(607,plain,(((is_emp1849217361specID) = (^ [A:set_Secrecy_specID]: (A = bot_bo1785112429specID)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[110])). 26.76/12.18 thf(142,axiom,((! [A:secrecy_Keys,B:secrecy_Secrets]: ((secrecy_kE @ A) != (secrecy_sE @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_Expression_Odistinct_I1_J)). 26.76/12.18 thf(728,plain,((! [A:secrecy_Keys,B:secrecy_Secrets]: ~ ((secrecy_kE @ A) = (secrecy_sE @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[142])). 26.76/12.18 thf(145,axiom,((inStream = (^ [A:secrecy_specID]: (= @ set_Secrecy_chanID @ (ins @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_inStream__def)). 26.76/12.18 thf(740,plain,(((inStream) = (^ [A:secrecy_specID]: (= @ set_Secrecy_chanID @ (ins @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[145])). 26.76/12.18 thf(22,axiom,((insert751661162chanID = (^ [A:secrecy_chanID]: (sup_su370684444chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_insert__is__Un)). 26.76/12.18 thf(332,plain,(((insert751661162chanID) = (^ [A:secrecy_chanID]: (sup_su370684444chanID @ (insert751661162chanID @ A @ bot_bo443197316chanID))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 26.76/12.18 thf(244,axiom,((! [A:secrecy_KS,B:set_Secrecy_KS]: (member_Secrecy_KS @ A @ (insert_Secrecy_KS @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_insertI1)). 26.76/12.18 thf(1129,plain,((! [A:secrecy_KS,B:set_Secrecy_KS]: (member_Secrecy_KS @ A @ (insert_Secrecy_KS @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[244])). 26.76/12.18 thf(66,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_224_Un__empty)). 26.76/12.18 thf(469,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)],[66])). 26.76/12.18 thf(29,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_251_Un__assoc)). 26.76/12.18 thf(354,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)],[29])). 26.76/12.18 thf(123,axiom,((! [A:secrecy_specID]: ((the_el827131246specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_the__elem__eq)). 26.76/12.18 thf(659,plain,((! [A:secrecy_specID]: ((the_el827131246specID @ (insert1671894227specID @ A @ bot_bo1785112429specID)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[123])). 26.76/12.18 thf(97,axiom,((! [A:set_Secrecy_specID,B:secrecy_specID]: ((A = bot_bo1785112429specID) => (~ (member740727610specID @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_equals0D)). 26.76/12.18 thf(560,plain,((! [A:set_Secrecy_specID,B:secrecy_specID]: ((A = bot_bo1785112429specID) => (~ (member740727610specID @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[97])). 26.76/12.18 thf(73,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_249_ball__Un)). 26.76/12.18 thf(491,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)],[73])). 26.76/12.18 thf(232,axiom,((! [A:secrecy_KS,B:secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ B @ bot_bo1943466239ecy_KS)) => (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_singletonD)). 26.76/12.18 thf(1088,plain,((! [A:secrecy_KS,B:secrecy_KS]: ((member_Secrecy_KS @ A @ (insert_Secrecy_KS @ B @ bot_bo1943466239ecy_KS)) => (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[232])). 26.76/12.18 thf(75,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_236_UnI1)). 26.76/12.18 thf(496,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)],[75])). 26.76/12.18 thf(227,axiom,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((correctCompositionKS @ A) => (((member_Secrecy_KS @ D @ (specKeysSecrets @ C)) | (member_Secrecy_KS @ D @ (specKeysSecrets @ B))) <= (member_Secrecy_KS @ D @ (specKeysSecrets @ A)))) <= ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_correctCompositionKS__PQ)). 26.76/12.18 thf(1069,plain,((! [A:secrecy_specID,B:secrecy_specID,C:secrecy_specID,D:secrecy_KS]: (((correctCompositionKS @ A) => ((member_Secrecy_KS @ D @ (specKeysSecrets @ C)) | (member_Secrecy_KS @ D @ (specKeysSecrets @ B)) | ~ (member_Secrecy_KS @ D @ (specKeysSecrets @ A)))) | ~ ((subcomponents @ A) = (insert1671894227specID @ B @ (insert1671894227specID @ C @ bot_bo1785112429specID)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[227])). 26.76/12.18 thf(1344,plain,($false),inference(cvc4,[status(thm)],[1024,365,347,628,666,481,1168,760,1200,582,1005,1073,655,614,1205,449,533,550,472,814,698,538,670,747,913,1095,898,1127,709,417,1046,565,436,389,724,785,917,357,587,619,638,881,325,316,817,902,475,443,1109,485,966,1183,1051,821,280,634,1119,877,692,452,920,380,270,798,334,910,957,1091,1042,1174,392,297,424,429,788,329,522,1195,1012,1106,1159,461,403,1006,593,499,519,742,783,420,884,488,554,686,970,547,1016,590,985,701,1131,1192,721,371,622,837,343,360,508,541,674,530,953,773,662,718,906,412,750,824,745,573,513,1146,584,819,732,286,875,579,291,936,313,466,804,704,947,350,764,1209,274,377,1144,1048,736,303,1122,890,811,631,758,535,609,323,1162,769,932,494,1080,367,552,943,1022,827,695,455,306,1113,1102,922,1066,868,505,438,1034,426,1203,680,374,1134,749,939,1145,458,617,516,525,690,1156,707,887,409,993,712,557,1003,1098,310,1053,1186,1038,502,840,338,576,808,544,864,612,991,386,978,1140,446,571,1084,1180,363,1189,963,319,896,652,1030,568,383,433,510,1077,478,1116,300,752,950,405,603,341,268,767,1056,1165,283,415,294,801,395,464,1152,860,850,982,277,871,607,728,740,332,1129,469,354,659,560,491,1088,496,1069])). 26.76/12.18 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 26.76/12.18 % [INFO] Killing All external provers ... 26.76/12.18 FINAL WATCH: 23.2 CPU 7.1 WC 26.76/12.18 Killed 2 orphans 26.76/12.18 Killed 2 orphans 26.76/12.18 Killed 1 orphans 26.76/12.18 EOF