0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Df0yesaLhS true 0.14/0.35 % Computer : n012.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Jul 13 15:23:31 EDT 2021 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 120 s 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.20/0.36 % Running in HO mode 0.53/0.66 % Total configuration time : 828 0.53/0.66 % Estimated wc time : 983 0.53/0.66 % Estimated cpu time (8 cpus) : 122.875 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 0.57/0.85 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s 0.57/0.85 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 33s 142.40/18.72 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 18s 249.39/32.44 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 18s 249.39/32.44 % Solved by lams/40_b.comb.sh. 249.39/32.44 % running E: timeout 28 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.Df0yesaLhS/e_inputa27cd5 --cpu-limit=26 --auto-schedule -s -p 249.39/32.44 % done 642 iterations in 31.589s 249.39/32.44 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 249.39/32.44 % SZS output start Refutation 249.39/32.44 thf(secrecy_specID_type, type, secrecy_specID: $tType). 249.39/32.44 thf(secrecy_Expression_type, type, secrecy_Expression: $tType). 249.39/32.44 thf(secrecy_Secrets_type, type, secrecy_Secrets: $tType). 249.39/32.44 thf(secrecy_KS_type, type, secrecy_KS: $tType). 249.39/32.44 thf(set_Secrecy_KS_type, type, set_Secrecy_KS: $tType). 249.39/32.44 thf(set_Secrecy_specID_type, type, set_Secrecy_specID: $tType). 249.39/32.44 thf(secrecy_Keys_type, type, secrecy_Keys: $tType). 249.39/32.44 thf(insert1671894227specID_type, type, insert1671894227specID: secrecy_specID > 249.39/32.44 set_Secrecy_specID > set_Secrecy_specID). 249.39/32.44 thf(pq_type, type, pq: secrecy_specID). 249.39/32.44 thf(secrecy_kE_type, type, secrecy_kE: secrecy_Keys > secrecy_Expression). 249.39/32.44 thf(bot_bo1785112429specID_type, type, bot_bo1785112429specID: set_Secrecy_specID). 249.39/32.44 thf(subcomponents_type, type, subcomponents: secrecy_specID > set_Secrecy_specID). 249.39/32.44 thf(secrecy_kKS_type, type, secrecy_kKS: secrecy_Keys > secrecy_KS). 249.39/32.44 thf(q_type, type, q: secrecy_specID). 249.39/32.44 thf(p_type, type, p: secrecy_specID). 249.39/32.44 thf('#sk16_type', type, '#sk16': secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Secrets). 249.39/32.44 thf(secret_type, type, secret: secrecy_Secrets). 249.39/32.44 thf(secrecy_sE_type, type, secrecy_sE: secrecy_Secrets > secrecy_Expression). 249.39/32.44 thf(m_type, type, m: secrecy_KS). 249.39/32.44 thf(correc965049635ionLoc_type, type, correc965049635ionLoc: secrecy_specID > $o). 249.39/32.44 thf(ine_type, type, ine: secrecy_specID > secrecy_Expression > $o). 249.39/32.44 thf(member_Secrecy_KS_type, type, member_Secrecy_KS: secrecy_KS > 249.39/32.44 set_Secrecy_KS > $o). 249.39/32.44 thf(secrecy_sKS_type, type, secrecy_sKS: secrecy_Secrets > secrecy_KS). 249.39/32.44 thf(localSecrets_type, type, localSecrets: secrecy_specID > set_Secrecy_KS). 249.39/32.44 thf('#sk15_type', type, '#sk15': secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Keys). 249.39/32.44 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 249.39/32.44 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 249.39/32.44 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 249.39/32.44 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 249.39/32.44 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 249.39/32.44 thf(fact_1_sg1a, axiom, (~( ine @ p @ ( secrecy_sE @ secret ) ))). 249.39/32.44 thf(zip_derived_cl308, plain, (~ (ine @ p @ (secrecy_sE @ secret))), 249.39/32.44 inference('cnf', [status(esa)], [fact_1_sg1a])). 249.39/32.44 thf(fact_2_sg2a, axiom, (~( ine @ q @ ( secrecy_sE @ secret ) ))). 249.39/32.44 thf(zip_derived_cl189, plain, (~ (ine @ q @ (secrecy_sE @ secret))), 249.39/32.44 inference('cnf', [status(esa)], [fact_2_sg2a])). 249.39/32.44 thf(fact_6_a2, axiom, (( m ) = ( secrecy_sKS @ secret ))). 249.39/32.44 thf(zip_derived_cl125, plain, (((m) = (secrecy_sKS @ secret))), 249.39/32.44 inference('cnf', [status(esa)], [fact_6_a2])). 249.39/32.44 thf(fact_9_KS_Oinject_I2_J, axiom, 249.39/32.44 (![X2:secrecy_Secrets,Y2:secrecy_Secrets]: 249.39/32.44 ( ( ( secrecy_sKS @ X2 ) = ( secrecy_sKS @ Y2 ) ) <=> ( ( X2 ) = ( Y2 ) ) ))). 249.39/32.44 thf(zip_derived_cl115, plain, 249.39/32.44 ( (((!!) @ (^[Y0 : secrecy_Secrets]: 249.39/32.44 (((!!) @ (^[Y1 : secrecy_Secrets]: 249.39/32.44 (((((secrecy_sKS @ Y0) = (secrecy_sKS @ Y1))) <=> 249.39/32.44 (((Y0) = (Y1)))))))))))), 249.39/32.44 inference('cnf', [status(esa)], [fact_9_KS_Oinject_I2_J])). 249.39/32.44 thf(zip_derived_cl116, plain, 249.39/32.44 ( (((!!) @ ((('#B') @ (!!) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ (<=>))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ (=) @ secrecy_sKS)))) @ 249.39/32.44 secrecy_sKS)))))) @ 249.39/32.44 (=)))))))), 249.39/32.44 inference('lams2combs', [status(thm)], [zip_derived_cl115])). 249.39/32.44 thf(zip_derived_cl490, plain, 249.39/32.44 (![X2 : secrecy_Secrets]: 249.39/32.44 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (secrecy_sKS @ X2))) @ 249.39/32.44 secrecy_sKS)))) @ 249.39/32.44 (((secrecy_Secrets) = (X2)))))))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl116])). 249.39/32.44 thf(zip_derived_cl491, plain, 249.39/32.44 (![X2 : secrecy_Secrets, X4 : secrecy_Secrets]: 249.39/32.44 (((((secrecy_sKS @ X2) = (secrecy_sKS @ X4))) <=> (((X2) = (X4)))))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl490])). 249.39/32.44 thf(zip_derived_cl492, plain, 249.39/32.44 (![X2 : secrecy_Secrets, X4 : secrecy_Secrets]: 249.39/32.44 ((((secrecy_sKS @ X2) = (secrecy_sKS @ X4))) = (((X2) = (X4))))), 249.39/32.44 inference('simplify nested equalities', [status(thm)], 249.39/32.44 [zip_derived_cl491])). 249.39/32.44 thf(zip_derived_cl1749, plain, 249.39/32.44 (![X0 : secrecy_Secrets]: 249.39/32.44 ((((secrecy_sKS @ X0) = (m))) = (((X0) = (secret))))), 249.39/32.44 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl492])). 249.39/32.44 thf(fact_3_sg1b, axiom, 249.39/32.44 (~( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ))). 249.39/32.44 thf(zip_derived_cl49, plain, 249.39/32.44 (~ (member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ p))), 249.39/32.44 inference('cnf', [status(esa)], [fact_3_sg1b])). 249.39/32.44 thf(zip_derived_cl125, plain, (((m) = (secrecy_sKS @ secret))), 249.39/32.44 inference('cnf', [status(esa)], [fact_6_a2])). 249.39/32.44 thf(zip_derived_cl362, plain, 249.39/32.44 (~ (member_Secrecy_KS @ m @ (localSecrets @ p))), 249.39/32.44 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl125])). 249.39/32.44 thf(fact_4_sg2b, axiom, 249.39/32.44 (~( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ))). 249.39/32.44 thf(zip_derived_cl10, plain, 249.39/32.44 (~ (member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))), 249.39/32.44 inference('cnf', [status(esa)], [fact_4_sg2b])). 249.39/32.44 thf(zip_derived_cl125, plain, (((m) = (secrecy_sKS @ secret))), 249.39/32.44 inference('cnf', [status(esa)], [fact_6_a2])). 249.39/32.44 thf(zip_derived_cl361, plain, 249.39/32.44 (~ (member_Secrecy_KS @ m @ (localSecrets @ q))), 249.39/32.44 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl125])). 249.39/32.44 thf(fact_5_subPQ, axiom, 249.39/32.44 (( subcomponents @ pq ) = 249.39/32.44 ( insert1671894227specID @ 249.39/32.44 p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ))). 249.39/32.44 thf(zip_derived_cl268, plain, 249.39/32.44 (((subcomponents @ pq) 249.39/32.44 = (insert1671894227specID @ p @ 249.39/32.44 (insert1671894227specID @ q @ bot_bo1785112429specID)))), 249.39/32.44 inference('cnf', [status(esa)], [fact_5_subPQ])). 249.39/32.44 thf(fact_0_cCompLoc, axiom, (correc965049635ionLoc @ pq)). 249.39/32.44 thf(zip_derived_cl329, plain, ( (correc965049635ionLoc @ pq)), 249.39/32.44 inference('cnf', [status(esa)], [fact_0_cCompLoc])). 249.39/32.44 thf(conj_0, conjecture, 249.39/32.44 (~( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) ))). 249.39/32.44 thf(zf_stmt_0, negated_conjecture, 249.39/32.44 (member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq )), 249.39/32.44 inference('cnf.neg', [status(esa)], [conj_0])). 249.39/32.44 thf(zip_derived_cl359, plain, 249.39/32.44 ( (member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ pq))), 249.39/32.44 inference('cnf', [status(esa)], [zf_stmt_0])). 249.39/32.44 thf(zip_derived_cl125, plain, (((m) = (secrecy_sKS @ secret))), 249.39/32.44 inference('cnf', [status(esa)], [fact_6_a2])). 249.39/32.44 thf(zip_derived_cl364, plain, 249.39/32.44 ( (member_Secrecy_KS @ m @ (localSecrets @ pq))), 249.39/32.44 inference('demod', [status(thm)], [zip_derived_cl359, zip_derived_cl125])). 249.39/32.44 thf(fact_301_LocalSecretsComposition__neg1, axiom, 249.39/32.44 (![PQ:secrecy_specID,P:secrecy_specID,Q:secrecy_specID,Ks:secrecy_KS]: 249.39/32.44 ( ( ( subcomponents @ PQ ) = 249.39/32.44 ( insert1671894227specID @ 249.39/32.44 P @ ( insert1671894227specID @ Q @ bot_bo1785112429specID ) ) ) => 249.39/32.44 ( ( correc965049635ionLoc @ PQ ) => 249.39/32.44 ( ( ![M4:secrecy_Keys]: 249.39/32.44 ( ( ( Ks ) = ( secrecy_kKS @ M4 ) ) => 249.39/32.44 ( ( ~( ine @ Q @ ( secrecy_kE @ M4 ) ) ) & 249.39/32.44 ( ~( ine @ P @ ( secrecy_kE @ M4 ) ) ) ) ) ) => 249.39/32.44 ( ( ![M4:secrecy_Secrets]: 249.39/32.44 ( ( ( Ks ) = ( secrecy_sKS @ M4 ) ) => 249.39/32.44 ( ( ~( ine @ Q @ ( secrecy_sE @ M4 ) ) ) & 249.39/32.44 ( ~( ine @ P @ ( secrecy_sE @ M4 ) ) ) ) ) ) => 249.39/32.44 ( ( ~( member_Secrecy_KS @ Ks @ ( localSecrets @ P ) ) ) => 249.39/32.44 ( ( ~( member_Secrecy_KS @ Ks @ ( localSecrets @ Q ) ) ) => 249.39/32.44 ( ~( member_Secrecy_KS @ Ks @ ( localSecrets @ PQ ) ) ) ) ) ) ) ) ))). 249.39/32.44 thf(zip_derived_cl266, plain, 249.39/32.44 ( (((!!) @ (^[Y0 : secrecy_specID]: 249.39/32.44 (((!!) @ (^[Y1 : secrecy_specID]: 249.39/32.44 (((!!) @ (^[Y2 : secrecy_specID]: 249.39/32.44 (((!!) @ (^[Y3 : secrecy_KS]: 249.39/32.44 (((((subcomponents @ 249.39/32.44 Y0) = 249.39/32.44 (insert1671894227specID @ 249.39/32.44 Y1 @ 249.39/32.44 (insert1671894227specID @ 249.39/32.44 Y2 @ 249.39/32.44 bot_bo1785112429specID)))) => 249.39/32.44 (((correc965049635ionLoc @ 249.39/32.44 Y0) => 249.39/32.44 (((((!!) @ ( 249.39/32.44 ^[Y4 : secrecy_Keys]: 249.39/32.44 (((((Y3) = 249.39/32.44 (secrecy_kKS @ 249.39/32.44 Y4))) => 249.39/32.44 (((( 249.39/32.44 (~) @ ( 249.39/32.44 ine @ 249.39/32.44 Y2 @ 249.39/32.44 ( 249.39/32.44 secrecy_kE @ 249.39/32.44 Y4)))) & 249.39/32.44 (( 249.39/32.44 (~) @ ( 249.39/32.44 ine @ 249.39/32.44 Y1 @ 249.39/32.44 ( 249.39/32.44 secrecy_kE @ 249.39/32.44 Y4))))))))))) => 249.39/32.44 (((((!!) @ ( 249.39/32.44 ^[Y4 : secrecy_Secrets]: 249.39/32.44 (((( 249.39/32.44 (Y3) = 249.39/32.44 (secrecy_sKS @ 249.39/32.44 Y4))) => 249.39/32.44 (( 249.39/32.44 (( 249.39/32.44 (~) @ ( 249.39/32.44 ine @ 249.39/32.44 Y2 @ 249.39/32.44 ( 249.39/32.44 secrecy_sE @ 249.39/32.44 Y4)))) & 249.39/32.44 (( 249.39/32.44 (~) @ ( 249.39/32.44 ine @ 249.39/32.44 Y1 @ 249.39/32.44 ( 249.39/32.44 secrecy_sE @ 249.39/32.44 Y4))))))))))) => 249.39/32.44 (((((~) @ ( 249.39/32.44 member_Secrecy_KS @ 249.39/32.44 Y3 @ 249.39/32.44 (localSecrets @ 249.39/32.44 Y1)))) => 249.39/32.44 (((((~) @ ( 249.39/32.44 member_Secrecy_KS @ 249.39/32.44 Y3 @ 249.39/32.44 ( 249.39/32.44 localSecrets @ 249.39/32.44 Y2)))) => 249.39/32.44 (((~) @ ( 249.39/32.44 member_Secrecy_KS @ 249.39/32.44 Y3 @ 249.39/32.44 ( 249.39/32.44 localSecrets @ 249.39/32.44 Y0))))))))))))))))))))))))))))), 249.39/32.44 inference('cnf', [status(esa)], [fact_301_LocalSecretsComposition__neg1])). 249.39/32.44 thf(zip_derived_cl267, plain, 249.39/32.44 ( (((!!) @ ((('#B') @ (!!) @ 249.39/32.44 ((('#B') @ ((('#B') @ (!!))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ ('#S'))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ((('#B') @ ('#B'))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ (=) @ 249.39/32.44 subcomponents)))))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#B') @ 249.39/32.44 insert1671894227specID)) @ 249.39/32.44 ((('#C') @ insert1671894227specID @ 249.39/32.44 bot_bo1785112429specID)))))))))))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ (=>) @ 249.39/32.44 correc965049635ionLoc)))))))) @ 249.39/32.44 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ ('#S'))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 =>))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 !!))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ( 249.39/32.44 ( 249.39/32.44 ('#C') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 '#S') @ 249.39/32.44 ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 =>))) @ 249.39/32.44 ( 249.39/32.44 ( 249.39/32.44 ('#C') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 '#B') @ 249.39/32.44 ( 249.39/32.44 =))) @ 249.39/32.44 secrecy_kKS)))))))))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#S') @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (&))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 ~))) @ 249.39/32.44 ((('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#B') @ 249.39/32.44 ine)) @ 249.39/32.44 secrecy_kE)))))))))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (~))) @ 249.39/32.44 ((('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#B') @ ine)) @ 249.39/32.44 secrecy_kE)))))))))))))))))) @ 249.39/32.44 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ ( 249.39/32.44 '#S'))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 =>))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 !!))))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 (('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#S') @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 =>))) @ 249.39/32.44 ((('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#B') @ 249.39/32.44 (=))) @ 249.39/32.44 secrecy_sKS)))))))))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#S') @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 &))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 ~))) @ 249.39/32.44 (( 249.39/32.44 ('#C') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 '#B') @ 249.39/32.44 ine)) @ 249.39/32.44 secrecy_sE)))))))))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (~))) @ 249.39/32.44 ((('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#B') @ ine)) @ 249.39/32.44 secrecy_sE)))))))))))))))))) @ 249.39/32.44 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ ( 249.39/32.44 =>))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (~))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#C') @ member_Secrecy_KS)) @ 249.39/32.44 localSecrets)))))))))))) @ 249.39/32.44 ((('#B') @ ((('#C') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ ( 249.39/32.44 =>))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (~))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#C') @ member_Secrecy_KS)) @ 249.39/32.44 localSecrets)))))))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (~))) @ 249.39/32.44 ((('#B') @ ((('#C') @ member_Secrecy_KS)) @ 249.39/32.44 localSecrets))))))))))))))))))))))))), 249.39/32.44 inference('lams2combs', [status(thm)], [zip_derived_cl266])). 249.39/32.44 thf(zip_derived_cl1368, plain, 249.39/32.44 (![X2 : secrecy_specID]: 249.39/32.44 (((!!) @ ((('#B') @ (!!) @ 249.39/32.44 ((('#B') @ ((('#B') @ (!!))) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ ('#B'))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (=>))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (((set_Secrecy_specID) = 249.39/32.44 (subcomponents @ 249.39/32.44 X2))))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#B') @ 249.39/32.44 insert1671894227specID)) @ 249.39/32.44 ((('#C') @ insert1671894227specID @ 249.39/32.44 bot_bo1785112429specID)))))))))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ((('#B') @ (((=>) @ (correc965049635ionLoc @ 249.39/32.44 X2))))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ ('#S'))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ((('#B') @ ( 249.39/32.44 !!))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ((('#C') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 '#S') @ 249.39/32.44 ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 =>))) @ 249.39/32.44 ( 249.39/32.44 ( 249.39/32.44 ('#C') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 '#B') @ 249.39/32.44 ( 249.39/32.44 =))) @ 249.39/32.44 secrecy_kKS)))))))))) @ 249.39/32.44 ((('#B') @ ((('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#S') @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (&))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (~))) @ 249.39/32.44 ((('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#B') @ 249.39/32.44 ine)) @ 249.39/32.44 secrecy_kE)))))))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (~))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ( 249.39/32.44 '#B') @ ine)) @ 249.39/32.44 secrecy_kE)))))))))))))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ ('#S'))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ((('#B') @ ( 249.39/32.44 =>))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ((('#B') @ ( 249.39/32.44 !!))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ( 249.39/32.44 (('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#S') @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (=>))) @ 249.39/32.44 ((('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#B') @ ( 249.39/32.44 =))) @ 249.39/32.44 secrecy_sKS)))))))))) @ 249.39/32.44 ((('#B') @ ((('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#S') @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (&))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 ~))) @ 249.39/32.44 ((('#C') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 '#B') @ 249.39/32.44 ine)) @ 249.39/32.44 secrecy_sE)))))))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (~))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ( 249.39/32.44 '#B') @ ine)) @ 249.39/32.44 secrecy_sE)))))))))))))))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ (=>))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (~))) @ 249.39/32.44 ((('#B') @ ((('#C') @ member_Secrecy_KS)) @ 249.39/32.44 localSecrets)))))))))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ (=>))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (~))) @ 249.39/32.44 ((('#B') @ ((('#C') @ member_Secrecy_KS)) @ 249.39/32.44 localSecrets)))))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#C') @ member_Secrecy_KS @ 249.39/32.44 (localSecrets @ X2)))))))))))))))))))))))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl267])). 249.39/32.44 thf(zip_derived_cl1369, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID]: 249.39/32.44 (((!!) @ ((('#B') @ (!!) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((set_Secrecy_specID) = 249.39/32.44 (subcomponents @ X2))) @ 249.39/32.44 ((('#B') @ (insert1671894227specID @ X4) @ 249.39/32.44 ((('#C') @ insert1671894227specID @ 249.39/32.44 bot_bo1785112429specID)))))))))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (((=>) @ (correc965049635ionLoc @ 249.39/32.44 X2))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ (=>))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (!!))) @ 249.39/32.44 ((('#B') @ ((('#C') @ ((('#B') @ ( 249.39/32.44 '#S') @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 =>))) @ 249.39/32.44 ((('#C') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 '#B') @ 249.39/32.44 ( 249.39/32.44 =))) @ 249.39/32.44 secrecy_kKS)))))))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ ( 249.39/32.44 &))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (~))) @ 249.39/32.44 ((('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#B') @ ine)) @ 249.39/32.44 secrecy_kE)))))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ 249.39/32.44 secrecy_kE)))))))))))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ (=>))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (!!))) @ 249.39/32.44 ((('#B') @ ((('#C') @ ((('#B') @ ( 249.39/32.44 '#S') @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 =>))) @ 249.39/32.44 ( 249.39/32.44 ( 249.39/32.44 ('#C') @ ( 249.39/32.44 ( 249.39/32.44 ('#B') @ ( 249.39/32.44 '#B') @ 249.39/32.44 ( 249.39/32.44 =))) @ 249.39/32.44 secrecy_sKS)))))))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (&))) @ 249.39/32.44 ((('#B') @ ( 249.39/32.44 (('#B') @ (~))) @ 249.39/32.44 ((('#C') @ ( 249.39/32.44 (('#B') @ ( 249.39/32.44 '#B') @ ine)) @ 249.39/32.44 secrecy_sE)))))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ 249.39/32.44 secrecy_sE)))))))))))))) @ 249.39/32.44 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#C') @ member_Secrecy_KS @ 249.39/32.44 (localSecrets @ X4))))))))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ (=>))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (~))) @ 249.39/32.44 ((('#B') @ ((('#C') @ member_Secrecy_KS)) @ 249.39/32.44 localSecrets)))))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#C') @ member_Secrecy_KS @ 249.39/32.44 (localSecrets @ X2)))))))))))))))))))))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1368])). 249.39/32.44 thf(zip_derived_cl1370, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID]: 249.39/32.44 (((!!) @ ((('#B') @ (((=>) @ (((subcomponents @ X2) = 249.39/32.44 (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ 249.39/32.44 bot_bo1785112429specID)))))) @ 249.39/32.44 ((('#B') @ (((=>) @ (correc965049635ionLoc @ X2))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (!!) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ (=>))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ( 249.39/32.44 '#B') @ ( 249.39/32.44 =))) @ 249.39/32.44 secrecy_kKS)))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ 249.39/32.44 secrecy_kE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_kE)))))))))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (!!) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ (=>))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ( 249.39/32.44 '#B') @ ( 249.39/32.44 =))) @ 249.39/32.44 secrecy_sKS)))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ 249.39/32.44 secrecy_sE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ 249.39/32.44 secrecy_sE)))))))))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#C') @ member_Secrecy_KS @ 249.39/32.44 (localSecrets @ X4))))))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#C') @ member_Secrecy_KS @ 249.39/32.44 (localSecrets @ X6))))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#C') @ member_Secrecy_KS @ 249.39/32.44 (localSecrets @ X2)))))))))))))))))))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1369])). 249.39/32.44 thf(zip_derived_cl1371, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (((((subcomponents @ X2) = (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID)))) => 249.39/32.44 (((correc965049635ionLoc @ X2) => 249.39/32.44 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_kKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_kE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_kE)))))))))) => 249.39/32.44 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_sKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_sE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_sE)))))))))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2))))))))))))))))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1370])). 249.39/32.44 thf(zip_derived_cl1372, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (~ (((subcomponents @ X2) = (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID)))) 249.39/32.44 | (((correc965049635ionLoc @ X2) => 249.39/32.44 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_kKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_kE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_kE)))))))))) => 249.39/32.44 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_sKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_sE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_sE)))))))))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))))))))))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1371])). 249.39/32.44 thf(zip_derived_cl1373, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | (((correc965049635ionLoc @ X2) => 249.39/32.44 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_kKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_kE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_kE)))))))))) => 249.39/32.44 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_sKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_sE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_sE)))))))))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))))))))))), 249.39/32.44 inference('simplify nested equalities', [status(thm)], 249.39/32.44 [zip_derived_cl1372])). 249.39/32.44 thf(zip_derived_cl1374, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (~ (correc965049635ionLoc @ X2) 249.39/32.44 | (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_kKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_kE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_kE)))))))))) => 249.39/32.44 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_sKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_sE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_sE)))))))))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))))))) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1373])). 249.39/32.44 thf(zip_derived_cl1375, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_kKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_kE)))))) @ 249.39/32.44 ((('#B') @ (~) @ ((('#B') @ (ine @ X4) @ secrecy_kE)))))))))) 249.39/32.44 | (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_sKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_sE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_sE)))))))))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))))) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1374])). 249.39/32.44 thf(zip_derived_cl1376, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (~ (((((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8)))) => 249.39/32.44 (((((~) @ (ine @ X6 @ (secrecy_kE @ ('#sk15' @ X4 @ X6 @ X8))))) & 249.39/32.44 (((~) @ (ine @ X4 @ (secrecy_kE @ ('#sk15' @ X4 @ X6 @ X8))))))))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_sKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_sE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_sE)))))))))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))))))), 249.39/32.44 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1375])). 249.39/32.44 thf(zip_derived_cl1377, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 ( (((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8)))) 249.39/32.44 | (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_sKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_sE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_sE)))))))))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))))) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1376])). 249.39/32.44 thf(zip_derived_cl1379, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))) 249.39/32.44 | (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_sKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_sE)))))) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X4) @ secrecy_sE)))))))))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))))) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2))), 249.39/32.44 inference('simplify nested equalities', [status(thm)], 249.39/32.44 [zip_derived_cl1377])). 249.39/32.44 thf(zip_derived_cl1380, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 249.39/32.44 ((('#B') @ (((secrecy_KS) = (X8))) @ 249.39/32.44 secrecy_sKS)))) @ 249.39/32.44 ((('#S') @ ((('#B') @ (&) @ 249.39/32.44 ((('#B') @ (~) @ 249.39/32.44 ((('#B') @ (ine @ X6) @ secrecy_sE)))))) @ 249.39/32.44 ((('#B') @ (~) @ ((('#B') @ (ine @ X4) @ secrecy_sE)))))))))) 249.39/32.44 | (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1379])). 249.39/32.44 thf(zip_derived_cl1382, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (~ (((((X8) = (secrecy_sKS @ ('#sk16' @ X4 @ X6 @ X8)))) => 249.39/32.44 (((((~) @ (ine @ X6 @ (secrecy_sE @ ('#sk16' @ X4 @ X6 @ X8))))) & 249.39/32.44 (((~) @ (ine @ X4 @ (secrecy_sE @ ('#sk16' @ X4 @ X6 @ X8))))))))) 249.39/32.44 | ((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))))), 249.39/32.44 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1380])). 249.39/32.44 thf(zip_derived_cl1385, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (~ (((((~) @ (ine @ X6 @ (secrecy_sE @ ('#sk16' @ X4 @ X6 @ X8))))) & 249.39/32.44 (((~) @ (ine @ X4 @ (secrecy_sE @ ('#sk16' @ X4 @ X6 @ X8))))))) 249.39/32.44 | (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1382])). 249.39/32.44 thf(zip_derived_cl1389, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 ( (ine @ X6 @ (secrecy_sE @ ('#sk16' @ X4 @ X6 @ X8))) 249.39/32.44 | (ine @ X4 @ (secrecy_sE @ ('#sk16' @ X4 @ X6 @ X8))) 249.39/32.44 | ((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))))), 249.39/32.44 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1385])). 249.39/32.44 thf(zip_derived_cl1393, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 ( (member_Secrecy_KS @ X8 @ (localSecrets @ X4)) 249.39/32.44 | (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))) 249.39/32.44 | (ine @ X4 @ (secrecy_sE @ ('#sk16' @ X4 @ X6 @ X8))) 249.39/32.44 | (ine @ X6 @ (secrecy_sE @ ('#sk16' @ X4 @ X6 @ X8))))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1389])). 249.39/32.44 thf(zip_derived_cl1397, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 ( (member_Secrecy_KS @ X8 @ (localSecrets @ X6)) 249.39/32.44 | ~ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)) 249.39/32.44 | (ine @ X6 @ (secrecy_sE @ ('#sk16' @ X4 @ X6 @ X8))) 249.39/32.44 | (ine @ X4 @ (secrecy_sE @ ('#sk16' @ X4 @ X6 @ X8))) 249.39/32.44 | ((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1393])). 249.39/32.44 thf(fact_81_insert__commute, axiom, 249.39/32.44 (![X:secrecy_specID,Y3:secrecy_specID,A:set_Secrecy_specID]: 249.39/32.44 ( ( insert1671894227specID @ X @ ( insert1671894227specID @ Y3 @ A ) ) = 249.39/32.44 ( insert1671894227specID @ Y3 @ ( insert1671894227specID @ X @ A ) ) ))). 249.39/32.44 thf(zip_derived_cl292, plain, 249.39/32.44 ( (((!!) @ (^[Y0 : secrecy_specID]: 249.39/32.44 (((!!) @ (^[Y1 : secrecy_specID]: 249.39/32.44 (((!!) @ (^[Y2 : set_Secrecy_specID]: 249.39/32.44 (((insert1671894227specID @ Y0 @ 249.39/32.44 (insert1671894227specID @ Y1 @ Y2)) = 249.39/32.44 (insert1671894227specID @ Y1 @ 249.39/32.44 (insert1671894227specID @ Y0 @ Y2)))))))))))))), 249.39/32.44 inference('cnf', [status(esa)], [fact_81_insert__commute])). 249.39/32.44 thf(zip_derived_cl293, plain, 249.39/32.44 ( (((!!) @ ((('#B') @ (!!) @ 249.39/32.44 ((('#B') @ ((('#B') @ (!!))) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ ('#S'))) @ 249.39/32.44 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ ('#B') @ 249.39/32.44 insert1671894227specID)))) @ 249.39/32.44 insert1671894227specID)))))))) @ 249.39/32.44 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @ 249.39/32.44 insert1671894227specID)))) @ 249.39/32.44 insert1671894227specID))))))))))), 249.39/32.44 inference('lams2combs', [status(thm)], [zip_derived_cl292])). 249.39/32.44 thf(zip_derived_cl666, plain, 249.39/32.44 (![X2 : secrecy_specID]: 249.39/32.44 (((!!) @ ((('#B') @ (!!) @ 249.39/32.44 ((('#S') @ ((('#B') @ ('#S') @ 249.39/32.44 ((('#B') @ ((('#B') @ (=))) @ 249.39/32.44 ((('#B') @ ((('#B') @ (insert1671894227specID @ 249.39/32.44 X2))) @ 249.39/32.44 insert1671894227specID)))))) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#B') @ insert1671894227specID)) @ 249.39/32.44 (insert1671894227specID @ X2)))))))))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl293])). 249.39/32.44 thf(zip_derived_cl667, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID]: 249.39/32.44 (((!!) @ ((('#S') @ ((('#B') @ (=) @ 249.39/32.44 ((('#B') @ (insert1671894227specID @ X2) @ 249.39/32.44 (insert1671894227specID @ X4))))) @ 249.39/32.44 ((('#B') @ (insert1671894227specID @ X4) @ 249.39/32.44 (insert1671894227specID @ X2)))))))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl666])). 249.39/32.44 thf(zip_derived_cl668, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : set_Secrecy_specID]: 249.39/32.44 (((insert1671894227specID @ X2 @ 249.39/32.44 (insert1671894227specID @ X4 @ X6)) = (insert1671894227specID @ 249.39/32.44 X4 @ (insert1671894227specID @ X2 @ X6))))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl667])). 249.39/32.44 thf(zip_derived_cl669, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : set_Secrecy_specID]: 249.39/32.44 ((insert1671894227specID @ X2 @ (insert1671894227specID @ X4 @ X6)) 249.39/32.44 = (insert1671894227specID @ X4 @ (insert1671894227specID @ X2 @ X6)))), 249.39/32.44 inference('simplify nested equalities', [status(thm)], 249.39/32.44 [zip_derived_cl668])). 249.39/32.44 thf(zip_derived_cl125, plain, (((m) = (secrecy_sKS @ secret))), 249.39/32.44 inference('cnf', [status(esa)], [fact_6_a2])). 249.39/32.44 thf(fact_281_KS_Odistinct_I1_J, axiom, 249.39/32.44 (![X1:secrecy_Keys,X2:secrecy_Secrets]: 249.39/32.44 ( ( secrecy_kKS @ X1 ) != ( secrecy_sKS @ X2 ) ))). 249.39/32.44 thf(zip_derived_cl171, plain, 249.39/32.44 ( (((!!) @ (^[Y0 : secrecy_Keys]: 249.39/32.44 (((!!) @ (^[Y1 : secrecy_Secrets]: 249.39/32.44 (((secrecy_kKS @ Y0) != (secrecy_sKS @ Y1)))))))))), 249.39/32.44 inference('cnf', [status(esa)], [fact_281_KS_Odistinct_I1_J])). 249.39/32.44 thf(zip_derived_cl172, plain, 249.39/32.44 ( (((!!) @ ((('#B') @ (!!) @ 249.39/32.44 ((('#C') @ ((('#B') @ ('#B') @ 249.39/32.44 ((('#B') @ (!=) @ secrecy_kKS)))) @ 249.39/32.44 secrecy_sKS))))))), 249.39/32.44 inference('lams2combs', [status(thm)], [zip_derived_cl171])). 249.39/32.44 thf(zip_derived_cl424, plain, 249.39/32.44 (![X2 : secrecy_Keys]: 249.39/32.44 (((!!) @ ((('#B') @ (((secrecy_KS) != (secrecy_kKS @ X2))) @ 249.39/32.44 secrecy_sKS))))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl172])). 249.39/32.44 thf(zip_derived_cl425, plain, 249.39/32.44 (![X2 : secrecy_Keys, X4 : secrecy_Secrets]: 249.39/32.44 (((secrecy_kKS @ X2) != (secrecy_sKS @ X4)))), 249.39/32.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl424])). 249.39/32.44 thf(zip_derived_cl426, plain, 249.39/32.44 (![X2 : secrecy_Keys, X4 : secrecy_Secrets]: 249.39/32.44 ((secrecy_kKS @ X2) != (secrecy_sKS @ X4))), 249.39/32.44 inference('simplify nested equalities', [status(thm)], 249.39/32.44 [zip_derived_cl425])). 249.39/32.44 thf(zip_derived_cl1517, plain, 249.39/32.44 (![X0 : secrecy_Keys]: ((secrecy_kKS @ X0) != (m))), 249.39/32.44 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl426])). 249.39/32.44 thf(zip_derived_cl1384, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 ( (((X8) = (secrecy_sKS @ ('#sk16' @ X4 @ X6 @ X8)))) 249.39/32.44 | (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1382])). 249.39/32.44 thf(zip_derived_cl1387, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 (((X8) = (secrecy_sKS @ ('#sk16' @ X4 @ X6 @ X8))) 249.39/32.44 | (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))) => 249.39/32.44 (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))))), 249.39/32.44 inference('simplify nested equalities', [status(thm)], 249.39/32.44 [zip_derived_cl1384])). 249.39/32.44 thf(zip_derived_cl1388, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 ( (member_Secrecy_KS @ X8 @ (localSecrets @ X4)) 249.39/32.44 | (((((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X6)))) => 249.39/32.44 (((~) @ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)))))) 249.39/32.44 | ((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | ((X8) = (secrecy_sKS @ ('#sk16' @ X4 @ X6 @ X8))))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1387])). 249.39/32.44 thf(zip_derived_cl1392, plain, 249.39/32.44 (![X2 : secrecy_specID, X4 : secrecy_specID, X6 : secrecy_specID, 249.39/32.44 X8 : secrecy_KS]: 249.39/32.44 ( (member_Secrecy_KS @ X8 @ (localSecrets @ X6)) 249.39/32.44 | ~ (member_Secrecy_KS @ X8 @ (localSecrets @ X2)) 249.39/32.44 | ((X8) = (secrecy_sKS @ ('#sk16' @ X4 @ X6 @ X8))) 249.39/32.44 | ~ (correc965049635ionLoc @ X2) 249.39/32.44 | ((subcomponents @ X2) 249.39/32.44 != (insert1671894227specID @ X4 @ 249.39/32.44 (insert1671894227specID @ X6 @ bot_bo1785112429specID))) 249.39/32.44 | ((X8) = (secrecy_kKS @ ('#sk15' @ X4 @ X6 @ X8))) 249.39/32.44 | (member_Secrecy_KS @ X8 @ (localSecrets @ X4)))), 249.39/32.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1388])). 249.39/32.44 thf(zip_derived_cl4169, plain, ($false), 249.39/32.44 inference('eprover', [status(thm)], 249.39/32.44 [zip_derived_cl308, zip_derived_cl189, zip_derived_cl1749, 249.39/32.44 zip_derived_cl362, zip_derived_cl361, zip_derived_cl268, 249.39/32.44 zip_derived_cl329, zip_derived_cl364, zip_derived_cl1397, 249.39/32.44 zip_derived_cl669, zip_derived_cl1517, zip_derived_cl1392])). 249.39/32.44 249.39/32.44 % SZS output end Refutation 249.39/32.44 249.39/32.44 249.39/32.44 % Terminating... 250.45/32.56 % Runner terminated. 250.45/32.58 % Zipperpin 1.5 exiting 250.45/32.59 EOF