0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ul4bVR83uX true 0.09/0.36 % Computer : n005.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.09/0.36 % CPULimit : 1440 0.09/0.36 % WCLimit : 180 0.09/0.36 % DateTime : Mon Jul 27 14:27:34 UTC 2026 0.09/0.37 % CPUTime : 0.09/0.37 % Running portfolio for 1440 s 0.09/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.09/0.37 % Number of cores: 8 0.09/0.37 % Python version: Python 3.12.3 0.09/0.38 % Running in HO mode 0.44/0.66 % Total configuration time : 828 0.44/0.66 % Estimated wc time : 1656 0.44/0.66 % Estimated cpu time (8 cpus) : 207.0 0.46/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.47/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.47/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.47/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.47/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.47/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.47/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.47/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.47/0.85 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 195.10/30.64 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 228.23/33.98 % Solved by lams/40_b.comb.sh. 228.23/33.98 % done 336 iterations in 33.005s 228.23/33.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 228.23/33.98 % SZS output start Refutation 228.23/33.98 thf(del_type, type, del: $tType). 228.23/33.98 thf(tp__ty_2Enum_2Enum_type, type, tp__ty_2Enum_2Enum: $tType). 228.23/33.98 thf(mem_type, type, mem: $i > del > $o). 228.23/33.98 thf(ty_2Efcp_2Ecart_type, type, ty_2Efcp_2Ecart: del > del > del). 228.23/33.98 thf('#sk2_type', type, '#sk2': del). 228.23/33.98 thf(c_2Ebool_2ECOND_type, type, c_2Ebool_2ECOND: del > $i). 228.23/33.98 thf('#sk3_type', type, '#sk3': tp__ty_2Enum_2Enum). 228.23/33.98 thf(c_2Ewords_2Eword__add_type, type, c_2Ewords_2Eword__add: del > $i). 228.23/33.98 thf(c_2Ewords_2Eword__sub_type, type, c_2Ewords_2Eword__sub: del > $i). 228.23/33.98 thf(p_type, type, p: $i > $o). 228.23/33.98 thf(inj__ty_2Enum_2Enum_type, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i). 228.23/33.98 thf(c_2Ebool_2EF_type, type, c_2Ebool_2EF: $i). 228.23/33.98 thf(ap_type, type, ap: $i > $i > $i). 228.23/33.98 thf(c_2Ewords_2Eword__2comp_type, type, c_2Ewords_2Eword__2comp: del > $i). 228.23/33.98 thf(arr_type, type, arr: del > del > del). 228.23/33.98 thf('#sk4_type', type, '#sk4': tp__ty_2Enum_2Enum). 228.23/33.99 thf(c_2Earithmetic_2E_3C_3D_type, type, c_2Earithmetic_2E_3C_3D: $i). 228.23/33.99 thf('#sk1_type', type, '#sk1': del > $i > $i > $i). 228.23/33.99 thf(bool_type, type, bool: del). 228.23/33.99 thf(c_2Earithmetic_2E_2D_type, type, c_2Earithmetic_2E_2D: $i). 228.23/33.99 thf(c_2Ewords_2En2w_type, type, c_2Ewords_2En2w: del > $i). 228.23/33.99 thf(ty_2Enum_2Enum_type, type, ty_2Enum_2Enum: del). 228.23/33.99 thf(c_2Earithmetic_2E_2B_type, type, c_2Earithmetic_2E_2B: $i). 228.23/33.99 thf(c_2Ebool_2ET_type, type, c_2Ebool_2ET: $i). 228.23/33.99 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 228.23/33.99 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 228.23/33.99 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 228.23/33.99 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 228.23/33.99 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 228.23/33.99 thf(mem_c_2Earithmetic_2E_2D, axiom, 228.23/33.99 (mem @ 228.23/33.99 c_2Earithmetic_2E_2D @ 228.23/33.99 ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ))). 228.23/33.99 thf(zip_derived_cl42, plain, 228.23/33.99 ( (mem @ c_2Earithmetic_2E_2D @ 228.23/33.99 (arr @ ty_2Enum_2Enum @ (arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))), 228.23/33.99 inference('cnf', [status(esa)], [mem_c_2Earithmetic_2E_2D])). 228.23/33.99 thf(mem_c_2Earithmetic_2E_3C_3D, axiom, 228.23/33.99 (mem @ 228.23/33.99 c_2Earithmetic_2E_3C_3D @ 228.23/33.99 ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ))). 228.23/33.99 thf(zip_derived_cl31, plain, 228.23/33.99 ( (mem @ c_2Earithmetic_2E_3C_3D @ 228.23/33.99 (arr @ ty_2Enum_2Enum @ (arr @ ty_2Enum_2Enum @ bool)))), 228.23/33.99 inference('cnf', [status(esa)], [mem_c_2Earithmetic_2E_3C_3D])). 228.23/33.99 thf(conj_thm_2Ewords_2En2w__sub, conjecture, 228.23/33.99 (![A_27a:del,V0a:tp__ty_2Enum_2Enum,V1b:tp__ty_2Enum_2Enum]: 228.23/33.99 ( ( p @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ 228.23/33.99 ( inj__ty_2Enum_2Enum @ V0a ) ) ) => 228.23/33.99 ( ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27a ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ 228.23/33.99 ( inj__ty_2Enum_2Enum @ V1b ) ) ) = 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2Eword__sub @ A_27a ) @ 228.23/33.99 ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ 228.23/33.99 ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ))). 228.23/33.99 thf(zf_stmt_0, negated_conjecture, 228.23/33.99 (~( ![A_27a:del,V0a:tp__ty_2Enum_2Enum,V1b:tp__ty_2Enum_2Enum]: 228.23/33.99 ( ( p @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ 228.23/33.99 ( inj__ty_2Enum_2Enum @ V0a ) ) ) => 228.23/33.99 ( ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27a ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ 228.23/33.99 ( inj__ty_2Enum_2Enum @ V1b ) ) ) = 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2Eword__sub @ A_27a ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) )), 228.23/33.99 inference('cnf.neg', [status(esa)], [conj_thm_2Ewords_2En2w__sub])). 228.23/33.99 thf(zip_derived_cl43, plain, 228.23/33.99 (~ (((!!) @ (^[Y0 : del]: 228.23/33.99 (((!!) @ (^[Y1 : tp__ty_2Enum_2Enum]: 228.23/33.99 (((!!) @ (^[Y2 : tp__ty_2Enum_2Enum]: 228.23/33.99 (((p @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D @ 228.23/33.99 (inj__ty_2Enum_2Enum @ Y2)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ Y1))) => 228.23/33.99 (((ap @ 228.23/33.99 (c_2Ewords_2En2w @ Y0) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_2D @ 228.23/33.99 (inj__ty_2Enum_2Enum @ Y1)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ Y2))) = 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__sub @ Y0) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2En2w @ Y0) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ Y1))) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2En2w @ Y0) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ Y2))))))))))))))))), 228.23/33.99 inference('cnf', [status(esa)], [zf_stmt_0])). 228.23/33.99 thf(zip_derived_cl44, plain, 228.23/33.99 (~ (((!!) @ ((('#B') @ (!!) @ 228.23/33.99 ((('#B') @ ((('#B') @ (!!))) @ 228.23/33.99 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=>))) @ 228.23/33.99 ((('#B') @ ((('#B') @ p)) @ 228.23/33.99 ((('#B') @ ((('#C') @ ( 228.23/33.99 (('#B') @ ap @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#C') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#B'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__sub)))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ c_2Ewords_2En2w)))) @ 228.23/33.99 inj__ty_2Enum_2Enum))))))))))))))), 228.23/33.99 inference('lams2combs', [status(thm)], [zip_derived_cl43])). 228.23/33.99 thf(zip_derived_cl68, plain, 228.23/33.99 (~ (((!!) @ ((('#B') @ (!!) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=>))) @ 228.23/33.99 ((('#B') @ ((('#B') @ p)) @ 228.23/33.99 ((('#B') @ ((('#C') @ ((('#B') @ ap @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 '#sk2')))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__sub @ 228.23/33.99 '#sk2')) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2En2w @ '#sk2')) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))) @ 228.23/33.99 ((('#B') @ (ap @ (c_2Ewords_2En2w @ '#sk2')) @ 228.23/33.99 inj__ty_2Enum_2Enum))))))))))))), 228.23/33.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl44])). 228.23/33.99 thf(zip_derived_cl69, plain, 228.23/33.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 228.23/33.99 ((('#B') @ p @ 228.23/33.99 ((('#C') @ ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ '#sk3'))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ (=) @ 228.23/33.99 ((('#B') @ (ap @ (c_2Ewords_2En2w @ '#sk2')) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_2D @ 228.23/33.99 (inj__ty_2Enum_2Enum @ '#sk3'))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__sub @ '#sk2') @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ '#sk2') @ 228.23/33.99 (inj__ty_2Enum_2Enum @ '#sk3')))) @ 228.23/33.99 ((('#B') @ (ap @ (c_2Ewords_2En2w @ '#sk2')) @ 228.23/33.99 inj__ty_2Enum_2Enum))))))))))), 228.23/33.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl68])). 228.23/33.99 thf(zip_derived_cl70, plain, 228.23/33.99 (~ (((p @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ '#sk4')) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ '#sk3'))) => 228.23/33.99 (((ap @ (c_2Ewords_2En2w @ '#sk2') @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ '#sk3')) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ '#sk4'))) = 228.23/33.99 (ap @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__sub @ '#sk2') @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ '#sk2') @ (inj__ty_2Enum_2Enum @ '#sk3'))) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ '#sk2') @ (inj__ty_2Enum_2Enum @ '#sk4')))))))), 228.23/33.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl69])). 228.23/33.99 thf(zip_derived_cl71, plain, 228.23/33.99 ( (p @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ '#sk4')) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ '#sk3')))), 228.23/33.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl70])). 228.23/33.99 thf(zip_derived_cl72, plain, 228.23/33.99 (~ (((ap @ (c_2Ewords_2En2w @ '#sk2') @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ '#sk3')) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ '#sk4'))) = 228.23/33.99 (ap @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__sub @ '#sk2') @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ '#sk2') @ (inj__ty_2Enum_2Enum @ '#sk3'))) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ '#sk2') @ (inj__ty_2Enum_2Enum @ '#sk4')))))), 228.23/33.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl70])). 228.23/33.99 thf(zip_derived_cl73, plain, 228.23/33.99 (((ap @ (c_2Ewords_2En2w @ '#sk2') @ 228.23/33.99 (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ '#sk3')) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ '#sk4'))) 228.23/33.99 != (ap @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__sub @ '#sk2') @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ '#sk2') @ (inj__ty_2Enum_2Enum @ '#sk3'))) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ '#sk2') @ (inj__ty_2Enum_2Enum @ '#sk4'))))), 228.23/33.99 inference('simplify nested equalities', [status(thm)], [zip_derived_cl72])). 228.23/33.99 thf(mem_c_2Ewords_2Eword__2comp, axiom, 228.23/33.99 (![A_27a:del]: 228.23/33.99 ( mem @ 228.23/33.99 ( c_2Ewords_2Eword__2comp @ A_27a ) @ 228.23/33.99 ( arr @ 228.23/33.99 ( ty_2Efcp_2Ecart @ bool @ A_27a ) @ 228.23/33.99 ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ))). 228.23/33.99 thf(zip_derived_cl34, plain, 228.23/33.99 ( (((!!) @ (^[Y0 : del]: 228.23/33.99 (mem @ (c_2Ewords_2Eword__2comp @ Y0) @ 228.23/33.99 (arr @ (ty_2Efcp_2Ecart @ bool @ Y0) @ 228.23/33.99 (ty_2Efcp_2Ecart @ bool @ Y0))))))), 228.23/33.99 inference('cnf', [status(esa)], [mem_c_2Ewords_2Eword__2comp])). 228.23/33.99 thf(zip_derived_cl35, plain, 228.23/33.99 ( (((!!) @ ((('#S') @ ((('#B') @ mem @ c_2Ewords_2Eword__2comp)) @ 228.23/33.99 ((('#S') @ ((('#B') @ arr @ (ty_2Efcp_2Ecart @ bool))) @ 228.23/33.99 (ty_2Efcp_2Ecart @ bool)))))))), 228.23/33.99 inference('lams2combs', [status(thm)], [zip_derived_cl34])). 228.23/33.99 thf(zip_derived_cl61, plain, 228.23/33.99 (![X2 : del]: 228.23/33.99 (mem @ (c_2Ewords_2Eword__2comp @ X2) @ 228.23/33.99 (arr @ (ty_2Efcp_2Ecart @ bool @ X2) @ (ty_2Efcp_2Ecart @ bool @ X2)))), 228.23/33.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 228.23/33.99 thf(ax_true_p, axiom, (p @ c_2Ebool_2ET)). 228.23/33.99 thf(zip_derived_cl19, plain, ( (p @ c_2Ebool_2ET)), 228.23/33.99 inference('cnf', [status(esa)], [ax_true_p])). 228.23/33.99 thf(mem_c_2Ebool_2ET, axiom, (mem @ c_2Ebool_2ET @ bool)). 228.23/33.99 thf(zip_derived_cl9, plain, ( (mem @ c_2Ebool_2ET @ bool)), 228.23/33.99 inference('cnf', [status(esa)], [mem_c_2Ebool_2ET])). 228.23/33.99 thf(conj_thm_2Ebool_2Ebool__case__thm, axiom, 228.23/33.99 (![A_27a:del]: 228.23/33.99 ( ( ![V2t1:$i]: 228.23/33.99 ( ( mem @ V2t1 @ A_27a ) => 228.23/33.99 ( ![V3t2:$i]: 228.23/33.99 ( ( mem @ V3t2 @ A_27a ) => 228.23/33.99 ( ( ap @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2EF ) @ V2t1 ) @ 228.23/33.99 V3t2 ) = 228.23/33.99 ( V3t2 ) ) ) ) ) ) & 228.23/33.99 ( ![V0t1:$i]: 228.23/33.99 ( ( mem @ V0t1 @ A_27a ) => 228.23/33.99 ( ![V1t2:$i]: 228.23/33.99 ( ( mem @ V1t2 @ A_27a ) => 228.23/33.99 ( ( ap @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2ET ) @ V0t1 ) @ 228.23/33.99 V1t2 ) = 228.23/33.99 ( V0t1 ) ) ) ) ) ) ))). 228.23/33.99 thf(zip_derived_cl29, plain, 228.23/33.99 ( (((!!) @ (^[Y0 : del]: 228.23/33.99 (((((!!) @ (^[Y1 : $i]: 228.23/33.99 (((mem @ Y1 @ Y0) => 228.23/33.99 (((!!) @ (^[Y2 : $i]: 228.23/33.99 (((mem @ Y2 @ Y0) => 228.23/33.99 (((ap @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ebool_2ECOND @ Y0) @ 228.23/33.99 c_2Ebool_2EF) @ 228.23/33.99 Y1) @ 228.23/33.99 Y2) = (Y2))))))))))))) & 228.23/33.99 (((!!) @ (^[Y1 : $i]: 228.23/33.99 (((mem @ Y1 @ Y0) => 228.23/33.99 (((!!) @ (^[Y2 : $i]: 228.23/33.99 (((mem @ Y2 @ Y0) => 228.23/33.99 (((ap @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ebool_2ECOND @ Y0) @ 228.23/33.99 c_2Ebool_2ET) @ 228.23/33.99 Y1) @ 228.23/33.99 Y2) = (Y1))))))))))))))))))), 228.23/33.99 inference('cnf', [status(esa)], [conj_thm_2Ebool_2Ebool__case__thm])). 228.23/33.99 thf(zip_derived_cl30, plain, 228.23/33.99 ( (((!!) @ ((('#S') @ ((('#B') @ (&) @ 228.23/33.99 ((('#B') @ (!!) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=>))) @ 228.23/33.99 ((('#C') @ mem)))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (!!))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=>))) @ 228.23/33.99 ((('#C') @ mem)))))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#C') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ( 228.23/33.99 (('#B') @ (=))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#C') @ ( 228.23/33.99 (('#B') @ ap @ 228.23/33.99 c_2Ebool_2ECOND)) @ 228.23/33.99 c_2Ebool_2EF)))))))))))) @ 228.23/33.99 ('#I'))))))))))))) @ 228.23/33.99 ((('#B') @ (!!) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=>))) @ 228.23/33.99 ((('#C') @ mem)))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (!!))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=>))) @ 228.23/33.99 ((('#C') @ mem)))))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#C'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#C') @ ((('#B') @ ap @ 228.23/33.99 c_2Ebool_2ECOND)) @ 228.23/33.99 c_2Ebool_2ET)))))))))))) @ 228.23/33.99 ('#I')))))))))))))))), 228.23/33.99 inference('lams2combs', [status(thm)], [zip_derived_cl29])). 228.23/33.99 thf(zip_derived_cl109, plain, 228.23/33.99 (![X2 : del]: 228.23/33.99 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/33.99 ((('#B') @ (!!) @ 228.23/33.99 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/33.99 ((('#C') @ mem @ X2)))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=))) @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ (c_2Ebool_2ECOND @ X2) @ 228.23/33.99 c_2Ebool_2EF)))))))) @ 228.23/33.99 ('#I'))))))))))) & 228.23/33.99 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/33.99 ((('#B') @ (!!) @ 228.23/33.99 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/33.99 ((('#C') @ mem @ X2)))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#C') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=))) @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ (c_2Ebool_2ECOND @ X2) @ 228.23/33.99 c_2Ebool_2ET)))))))) @ 228.23/33.99 ('#I')))))))))))))), 228.23/33.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])). 228.23/33.99 thf(zip_derived_cl111, plain, 228.23/33.99 (![X2 : del]: 228.23/33.99 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/33.99 ((('#B') @ (!!) @ 228.23/33.99 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/33.99 ((('#C') @ mem @ X2)))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#C') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=))) @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ (c_2Ebool_2ECOND @ X2) @ 228.23/33.99 c_2Ebool_2ET)))))))) @ 228.23/33.99 ('#I')))))))))))), 228.23/33.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl109])). 228.23/33.99 thf(zip_derived_cl113, plain, 228.23/33.99 (![X2 : del, X4 : $i]: 228.23/33.99 (((mem @ X4 @ X2) => 228.23/33.99 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/33.99 ((('#C') @ ((('#B') @ (=) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ (c_2Ebool_2ECOND @ X2) @ 228.23/33.99 c_2Ebool_2ET) @ 228.23/33.99 X4)))) @ 228.23/33.99 X4))))))))), 228.23/33.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl111])). 228.23/33.99 thf(zip_derived_cl115, plain, 228.23/33.99 (![X2 : del, X4 : $i]: 228.23/33.99 (~ (mem @ X4 @ X2) 228.23/33.99 | (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/33.99 ((('#C') @ ((('#B') @ (=) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ (c_2Ebool_2ECOND @ X2) @ 228.23/33.99 c_2Ebool_2ET) @ 228.23/33.99 X4)))) @ 228.23/33.99 X4)))))))), 228.23/33.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl113])). 228.23/33.99 thf(zip_derived_cl117, plain, 228.23/33.99 (![X2 : del, X4 : $i, X6 : $i]: 228.23/33.99 ( (((mem @ X6 @ X2) => 228.23/33.99 (((ap @ 228.23/33.99 (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ c_2Ebool_2ET) @ X4) @ X6) = 228.23/33.99 (X4))))) 228.23/33.99 | ~ (mem @ X4 @ X2))), 228.23/33.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl115])). 228.23/33.99 thf(zip_derived_cl119, plain, 228.23/33.99 (![X2 : del, X4 : $i, X6 : $i]: 228.23/33.99 (~ (mem @ X6 @ X2) 228.23/33.99 | (((ap @ 228.23/33.99 (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ c_2Ebool_2ET) @ X4) @ X6) = 228.23/33.99 (X4))) 228.23/33.99 | ~ (mem @ X4 @ X2))), 228.23/33.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl117])). 228.23/33.99 thf(zip_derived_cl121, plain, 228.23/33.99 (![X2 : del, X4 : $i, X6 : $i]: 228.23/33.99 (~ (mem @ X6 @ X2) 228.23/33.99 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ c_2Ebool_2ET) @ X4) @ 228.23/33.99 X6) = (X4)) 228.23/33.99 | ~ (mem @ X4 @ X2))), 228.23/33.99 inference('simplify nested equalities', [status(thm)], 228.23/33.99 [zip_derived_cl119])). 228.23/33.99 thf(conj_thm_2Ewords_2EWORD__LITERAL__ADD, axiom, 228.23/33.99 (![A_27a:del,A_27b:del]: 228.23/33.99 ( ( ![V0m:tp__ty_2Enum_2Enum,V1n:tp__ty_2Enum_2Enum]: 228.23/33.99 ( ( ap @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2Eword__add @ A_27a ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2Eword__2comp @ A_27a ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2Eword__2comp @ A_27a ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) = 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2Eword__2comp @ A_27a ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27a ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ 228.23/33.99 ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) & 228.23/33.99 ( ![V2m:tp__ty_2Enum_2Enum,V3n:tp__ty_2Enum_2Enum]: 228.23/33.99 ( ( ap @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2Eword__add @ A_27b ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2Eword__2comp @ A_27b ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) = 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ A_27b ) ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ 228.23/33.99 ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27b ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ 228.23/33.99 ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2Eword__2comp @ A_27b ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( c_2Ewords_2En2w @ A_27b ) @ 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ 228.23/33.99 ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) ) ) ))). 228.23/33.99 thf(zip_derived_cl7, plain, 228.23/33.99 ( (((!!) @ (^[Y0 : del]: 228.23/33.99 (((!!) @ (^[Y1 : del]: 228.23/33.99 (((((!!) @ (^[Y2 : tp__ty_2Enum_2Enum]: 228.23/33.99 (((!!) @ (^[Y3 : tp__ty_2Enum_2Enum]: 228.23/33.99 (((ap @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__add @ 228.23/33.99 Y0) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 Y0) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 Y0) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y2)))) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 Y0) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 Y0) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y3)))) = 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 Y0) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 Y0) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 c_2Earithmetic_2E_2B @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y2)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y3)))))))))))) & 228.23/33.99 (((!!) @ (^[Y2 : tp__ty_2Enum_2Enum]: 228.23/33.99 (((!!) @ (^[Y3 : tp__ty_2Enum_2Enum]: 228.23/33.99 (((ap @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__add @ 228.23/33.99 Y1) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 Y1) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y2))) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 Y1) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 Y1) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y3)))) = 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ebool_2ECOND @ 228.23/33.99 (ty_2Efcp_2Ecart @ 228.23/33.99 bool @ Y1)) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y3)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y2))) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 Y1) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 c_2Earithmetic_2E_2D @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y2)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y3)))) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 Y1) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 Y1) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 c_2Earithmetic_2E_2D @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y3)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ 228.23/33.99 Y2)))))))))))))))))))))), 228.23/33.99 inference('cnf', [status(esa)], [conj_thm_2Ewords_2EWORD__LITERAL__ADD])). 228.23/33.99 thf(zip_derived_cl8, plain, 228.23/33.99 ( (((!!) @ ((('#B') @ (!!) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ (&) @ 228.23/33.99 ((('#B') @ (!!) @ 228.23/33.99 ((('#B') @ ((('#B') @ (!!))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ( 228.23/33.99 (('#B') @ (=))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ( 228.23/33.99 '#C') @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ( 228.23/33.99 '#B'))) @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ap)) @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#S') @ ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__add)))) @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#S') @ ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__2comp)))) @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#C') @ ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__2comp)))) @ 228.23/33.99 ((('#C') @ ( 228.23/33.99 (('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__2comp)))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_2B) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))))))))) @ 228.23/33.99 ((('#B') @ (!!) @ 228.23/33.99 ((('#B') @ ((('#B') @ (!!))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#C') @ 228.23/33.99 ((('#B') @ ((('#B') @ ( 228.23/33.99 '#B'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#S') @ ( 228.23/33.99 (('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__add)))) @ 228.23/33.99 ((('#C') @ ( 228.23/33.99 (('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__2comp)))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ((('#B') @ ap)))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ( 228.23/33.99 '#S'))) @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 (('#B') @ ( 228.23/33.99 (('#B') @ ap)))) @ 228.23/33.99 ((('#C') @ ( 228.23/33.99 (('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ c_2Ebool_2ECOND @ 228.23/33.99 ( 228.23/33.99 ty_2Efcp_2Ecart @ 228.23/33.99 bool))))))))) @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 (('#C') @ ( 228.23/33.99 (('#B') @ ap @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__2comp)))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ c_2Ewords_2En2w)))))) @ 228.23/33.99 ((('#B') @ ((('#C') @ ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum))))))))))))))))))))), 228.23/33.99 inference('lams2combs', [status(thm)], [zip_derived_cl7])). 228.23/33.99 thf(zip_derived_cl92, plain, 228.23/33.99 (![X2 : del]: 228.23/33.99 (((!!) @ ((('#B') @ (((&) @ (((!!) @ ((('#B') @ (!!) @ 228.23/33.99 ((('#S') @ ((('#B') @ ( 228.23/33.99 '#S') @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 (('#B') @ (=))) @ 228.23/33.99 ((('#C') @ ( 228.23/33.99 (('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 (( 228.23/33.99 ('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 ( 228.23/33.99 c_2Ewords_2Eword__add @ 228.23/33.99 X2)) @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 ( 228.23/33.99 c_2Ewords_2Eword__2comp @ 228.23/33.99 X2)) @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 ( 228.23/33.99 c_2Ewords_2En2w @ 228.23/33.99 X2)) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 X2)) @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 ( 228.23/33.99 c_2Ewords_2En2w @ 228.23/33.99 X2)) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 X2)))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 X2)))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_2B) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))))))) @ 228.23/33.99 ((('#B') @ (!!) @ 228.23/33.99 ((('#B') @ ((('#B') @ (!!))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#C') @ 228.23/33.99 ((('#B') @ ((('#B') @ ( 228.23/33.99 '#B'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#S') @ ( 228.23/33.99 (('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__add)))) @ 228.23/33.99 ((('#C') @ ( 228.23/33.99 (('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__2comp)))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ((('#B') @ ap)))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ( 228.23/33.99 '#S'))) @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 (('#B') @ ( 228.23/33.99 (('#B') @ ap)))) @ 228.23/33.99 ((('#C') @ ( 228.23/33.99 (('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ c_2Ebool_2ECOND @ 228.23/33.99 ( 228.23/33.99 ty_2Efcp_2Ecart @ 228.23/33.99 bool))))))))) @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 (('#C') @ ( 228.23/33.99 (('#B') @ ap @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2En2w)))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ( 228.23/33.99 '#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__2comp)))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ c_2Ewords_2En2w)))))) @ 228.23/33.99 ((('#B') @ ((('#C') @ ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum))))))))))))))))))), 228.23/33.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 228.23/33.99 thf(zip_derived_cl93, plain, 228.23/33.99 (![X2 : del, X4 : del]: 228.23/33.99 (((((!!) @ ((('#B') @ (!!) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__add @ 228.23/33.99 X2)) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 X2)) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 X2)) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 X2)) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2En2w @ X2)) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ X2)))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (ap @ (c_2Ewords_2En2w @ X2)))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 c_2Earithmetic_2E_2B) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))))) & 228.23/33.99 (((!!) @ ((('#B') @ (!!) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__add @ 228.23/33.99 X4)) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 X4)) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 X4)) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2En2w @ X4)) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#B') @ ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 (c_2Ebool_2ECOND @ 228.23/33.99 (ty_2Efcp_2Ecart @ 228.23/33.99 bool @ X4))))) @ 228.23/33.99 ((('#B') @ ((('#C') @ ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ap @ 228.23/33.99 ( 228.23/33.99 ( 228.23/33.99 ('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 X4)))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ X4)))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (ap @ (c_2Ewords_2En2w @ X4)))) @ 228.23/33.99 ((('#B') @ ((('#C') @ ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum))))))))))))))))), 228.23/33.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl92])). 228.23/33.99 thf(zip_derived_cl95, plain, 228.23/33.99 (![X4 : del]: 228.23/33.99 (((!!) @ ((('#B') @ (!!) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__add @ 228.23/33.99 X4)) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 X4)) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ X4)) @ 228.23/33.99 ((('#B') @ (ap @ (c_2Ewords_2En2w @ X4)) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#B') @ ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 (c_2Ebool_2ECOND @ 228.23/33.99 (ty_2Efcp_2Ecart @ 228.23/33.99 bool @ X4))))) @ 228.23/33.99 ((('#B') @ ((('#C') @ ( 228.23/33.99 (('#B') @ ap @ 228.23/33.99 (( 228.23/33.99 ('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2En2w @ 228.23/33.99 X4)))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ X4)))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (ap @ (c_2Ewords_2En2w @ X4)))) @ 228.23/33.99 ((('#B') @ ((('#C') @ ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))) @ 228.23/33.99 inj__ty_2Enum_2Enum))))))))))))))), 228.23/33.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl93])). 228.23/33.99 thf(zip_derived_cl97, plain, 228.23/33.99 (![X4 : del, X6 : tp__ty_2Enum_2Enum]: 228.23/33.99 (((!!) @ ((('#S') @ ((('#B') @ (=) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__add @ X4) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ X4) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ X6)))) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ X4)) @ 228.23/33.99 ((('#B') @ (ap @ (c_2Ewords_2En2w @ X4)) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ap @ 228.23/33.99 ((('#S') @ ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (c_2Ebool_2ECOND @ 228.23/33.99 (ty_2Efcp_2Ecart @ 228.23/33.99 bool @ X4))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ap @ 228.23/33.99 ((('#B') @ ( 228.23/33.99 ap @ 228.23/33.99 c_2Earithmetic_2E_3C_3D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ X6))))))) @ 228.23/33.99 ((('#B') @ (ap @ (c_2Ewords_2En2w @ X4)) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_2D @ 228.23/33.99 (inj__ty_2Enum_2Enum @ X6))) @ 228.23/33.99 inj__ty_2Enum_2Enum)))))))) @ 228.23/33.99 ((('#B') @ (ap @ (c_2Ewords_2Eword__2comp @ X4)) @ 228.23/33.99 ((('#B') @ (ap @ (c_2Ewords_2En2w @ X4)) @ 228.23/33.99 ((('#C') @ ((('#B') @ ap @ 228.23/33.99 ((('#B') @ (ap @ c_2Earithmetic_2E_2D) @ 228.23/33.99 inj__ty_2Enum_2Enum)))) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ X6)))))))))))))), 228.23/33.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl95])). 228.23/33.99 thf(zip_derived_cl99, plain, 228.23/33.99 (![X4 : del, X6 : tp__ty_2Enum_2Enum, X8 : tp__ty_2Enum_2Enum]: 228.23/33.99 (((ap @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__add @ X4) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ X4) @ (inj__ty_2Enum_2Enum @ X6))) @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__2comp @ X4) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ X4) @ (inj__ty_2Enum_2Enum @ X8)))) = 228.23/33.99 (ap @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X4)) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X8)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ X6))) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ X4) @ 228.23/33.99 (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X6)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ X8)))) @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__2comp @ X4) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ X4) @ 228.23/33.99 (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X8)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ X6)))))))), 228.23/33.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl97])). 228.23/33.99 thf(zip_derived_cl101, plain, 228.23/33.99 (![X4 : del, X6 : tp__ty_2Enum_2Enum, X8 : tp__ty_2Enum_2Enum]: 228.23/33.99 ((ap @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__add @ X4) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ X4) @ (inj__ty_2Enum_2Enum @ X6))) @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__2comp @ X4) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ X4) @ (inj__ty_2Enum_2Enum @ X8)))) 228.23/33.99 = (ap @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X4)) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X8)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ X6))) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ X4) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X6)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ X8)))) @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__2comp @ X4) @ 228.23/33.99 (ap @ (c_2Ewords_2En2w @ X4) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X8)) @ 228.23/33.99 (inj__ty_2Enum_2Enum @ X6))))))), 228.23/33.99 inference('simplify nested equalities', [status(thm)], [zip_derived_cl99])). 228.23/33.99 thf(ax_thm_2Ewords_2Eword__sub__def, axiom, 228.23/33.99 (![A_27a:del,V0v:$i]: 228.23/33.99 ( ( mem @ V0v @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) => 228.23/33.99 ( ![V1w:$i]: 228.23/33.99 ( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) => 228.23/33.99 ( ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V0v ) @ V1w ) = 228.23/33.99 ( ap @ 228.23/33.99 ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V0v ) @ 228.23/33.99 ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ V1w ) ) ) ) ) ))). 228.23/33.99 thf(zip_derived_cl38, plain, 228.23/33.99 ( (((!!) @ (^[Y0 : del]: 228.23/33.99 (((!!) @ (^[Y1 : $i]: 228.23/33.99 (((mem @ Y1 @ (ty_2Efcp_2Ecart @ bool @ Y0)) => 228.23/33.99 (((!!) @ (^[Y2 : $i]: 228.23/33.99 (((mem @ Y2 @ 228.23/33.99 (ty_2Efcp_2Ecart @ bool @ Y0)) => 228.23/33.99 (((ap @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__sub @ Y0) @ 228.23/33.99 Y1) @ 228.23/33.99 Y2) = (ap @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__add @ Y0) @ 228.23/33.99 Y1) @ 228.23/33.99 (ap @ 228.23/33.99 (c_2Ewords_2Eword__2comp @ 228.23/33.99 Y0) @ 228.23/33.99 Y2)))))))))))))))))), 228.23/33.99 inference('cnf', [status(esa)], [ax_thm_2Ewords_2Eword__sub__def])). 228.23/33.99 thf(zip_derived_cl39, plain, 228.23/33.99 ( (((!!) @ ((('#B') @ (!!) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=>))) @ 228.23/33.99 ((('#B') @ ((('#C') @ mem)) @ 228.23/33.99 (ty_2Efcp_2Ecart @ bool))))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ (!!))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=>))) @ 228.23/33.99 ((('#B') @ ((('#C') @ mem)) @ 228.23/33.99 (ty_2Efcp_2Ecart @ bool))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__sub)))))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#C') @ 228.23/33.99 ((('#B') @ ((('#B') @ ('#B'))) @ 228.23/33.99 ((('#B') @ ((('#B') @ ap)) @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 c_2Ewords_2Eword__add)))))))) @ 228.23/33.99 ((('#B') @ ap @ c_2Ewords_2Eword__2comp))))))))))))))))), 228.23/33.99 inference('lams2combs', [status(thm)], [zip_derived_cl38])). 228.23/33.99 thf(zip_derived_cl86, plain, 228.23/33.99 (![X2 : del]: 228.23/33.99 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 228.23/33.99 ((('#C') @ mem @ (ty_2Efcp_2Ecart @ bool @ X2))))) @ 228.23/33.99 ((('#B') @ (!!) @ 228.23/33.99 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/33.99 ((('#C') @ mem @ 228.23/33.99 (ty_2Efcp_2Ecart @ bool @ X2))))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ ('#S') @ 228.23/33.99 ((('#B') @ ((('#B') @ (=))) @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__sub @ X2)))))))) @ 228.23/33.99 ((('#C') @ ((('#B') @ ('#B') @ 228.23/33.99 ((('#B') @ ap @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__add @ X2)))))) @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__2comp @ X2))))))))))))))), 228.23/33.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl39])). 228.23/33.99 thf(zip_derived_cl87, plain, 228.23/33.99 (![X2 : del, X4 : $i]: 228.23/33.99 (((mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X2)) => 228.23/33.99 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 228.23/33.99 ((('#C') @ mem @ 228.23/33.99 (ty_2Efcp_2Ecart @ bool @ X2))))) @ 228.23/33.99 ((('#S') @ ((('#B') @ (=) @ 228.23/33.99 (ap @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__sub @ X2) @ X4)))) @ 228.23/33.99 ((('#B') @ (ap @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__add @ X2) @ X4)) @ 228.23/33.99 (ap @ (c_2Ewords_2Eword__2comp @ X2))))))))))))), 228.23/34.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl86])). 228.23/34.00 thf(zip_derived_cl88, plain, 228.23/34.00 (![X2 : del, X4 : $i]: 228.23/34.00 (~ (mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X2)) 228.23/34.00 | (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.00 ((('#C') @ mem @ 228.23/34.00 (ty_2Efcp_2Ecart @ bool @ X2))))) @ 228.23/34.00 ((('#S') @ ((('#B') @ (=) @ 228.23/34.00 (ap @ 228.23/34.00 (ap @ (c_2Ewords_2Eword__sub @ X2) @ X4)))) @ 228.23/34.00 ((('#B') @ (ap @ 228.23/34.00 (ap @ (c_2Ewords_2Eword__add @ X2) @ X4)) @ 228.23/34.00 (ap @ (c_2Ewords_2Eword__2comp @ X2)))))))))))), 228.23/34.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl87])). 228.23/34.00 thf(zip_derived_cl89, plain, 228.23/34.00 (![X2 : del, X4 : $i, X6 : $i]: 228.23/34.00 ( (((mem @ X6 @ (ty_2Efcp_2Ecart @ bool @ X2)) => 228.23/34.00 (((ap @ (ap @ (c_2Ewords_2Eword__sub @ X2) @ X4) @ X6) = (ap @ 228.23/34.00 (ap @ (c_2Ewords_2Eword__add @ X2) @ X4) @ 228.23/34.00 (ap @ (c_2Ewords_2Eword__2comp @ X2) @ X6)))))) 228.23/34.00 | ~ (mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X2)))), 228.23/34.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl88])). 228.23/34.00 thf(zip_derived_cl90, plain, 228.23/34.00 (![X2 : del, X4 : $i, X6 : $i]: 228.23/34.00 (~ (mem @ X6 @ (ty_2Efcp_2Ecart @ bool @ X2)) 228.23/34.00 | (((ap @ (ap @ (c_2Ewords_2Eword__sub @ X2) @ X4) @ X6) = (ap @ 228.23/34.00 (ap @ (c_2Ewords_2Eword__add @ X2) @ X4) @ 228.23/34.00 (ap @ (c_2Ewords_2Eword__2comp @ X2) @ X6)))) 228.23/34.00 | ~ (mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X2)))), 228.23/34.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl89])). 228.23/34.00 thf(zip_derived_cl91, plain, 228.23/34.00 (![X2 : del, X4 : $i, X6 : $i]: 228.23/34.00 (~ (mem @ X6 @ (ty_2Efcp_2Ecart @ bool @ X2)) 228.23/34.00 | ((ap @ (ap @ (c_2Ewords_2Eword__sub @ X2) @ X4) @ X6) 228.23/34.00 = (ap @ (ap @ (c_2Ewords_2Eword__add @ X2) @ X4) @ 228.23/34.00 (ap @ (c_2Ewords_2Eword__2comp @ X2) @ X6))) 228.23/34.00 | ~ (mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X2)))), 228.23/34.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl90])). 228.23/34.00 thf(mem_c_2Ewords_2En2w, axiom, 228.23/34.00 (![A_27a:del]: 228.23/34.00 ( mem @ 228.23/34.00 ( c_2Ewords_2En2w @ A_27a ) @ 228.23/34.00 ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ))). 228.23/34.00 thf(zip_derived_cl12, plain, 228.23/34.00 ( (((!!) @ (^[Y0 : del]: 228.23/34.00 (mem @ (c_2Ewords_2En2w @ Y0) @ 228.23/34.00 (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ Y0))))))), 228.23/34.00 inference('cnf', [status(esa)], [mem_c_2Ewords_2En2w])). 228.23/34.00 thf(zip_derived_cl13, plain, 228.23/34.00 ( (((!!) @ ((('#S') @ ((('#B') @ mem @ c_2Ewords_2En2w)) @ 228.23/34.00 ((('#B') @ (arr @ ty_2Enum_2Enum) @ (ty_2Efcp_2Ecart @ bool)))))))), 228.23/34.00 inference('lams2combs', [status(thm)], [zip_derived_cl12])). 228.23/34.00 thf(zip_derived_cl48, plain, 228.23/34.00 (![X2 : del]: 228.23/34.00 (mem @ (c_2Ewords_2En2w @ X2) @ 228.23/34.00 (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X2)))), 228.23/34.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 228.23/34.00 thf(conj_thm_2Ebool_2ECOND__CONG, axiom, 228.23/34.00 (![A_27a:del,V0P:$i]: 228.23/34.00 ( ( mem @ V0P @ bool ) => 228.23/34.00 ( ![V1Q:$i]: 228.23/34.00 ( ( mem @ V1Q @ bool ) => 228.23/34.00 ( ![V2x:$i]: 228.23/34.00 ( ( mem @ V2x @ A_27a ) => 228.23/34.00 ( ![V3x_27:$i]: 228.23/34.00 ( ( mem @ V3x_27 @ A_27a ) => 228.23/34.00 ( ![V4y:$i]: 228.23/34.00 ( ( mem @ V4y @ A_27a ) => 228.23/34.00 ( ![V5y_27:$i]: 228.23/34.00 ( ( mem @ V5y_27 @ A_27a ) => 228.23/34.00 ( ( ( ( p @ V1Q ) <=> ( p @ V0P ) ) & 228.23/34.00 ( ( ~( p @ V1Q ) ) => ( ( V4y ) = ( V5y_27 ) ) ) & 228.23/34.00 ( ( p @ V1Q ) => ( ( V2x ) = ( V3x_27 ) ) ) ) => 228.23/34.00 ( ( ap @ 228.23/34.00 ( ap @ 228.23/34.00 ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V0P ) @ 228.23/34.00 V2x ) @ 228.23/34.00 V4y ) = 228.23/34.00 ( ap @ 228.23/34.00 ( ap @ 228.23/34.00 ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V1Q ) @ 228.23/34.00 V3x_27 ) @ 228.23/34.00 V5y_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 228.23/34.00 thf(zip_derived_cl14, plain, 228.23/34.00 ( (((!!) @ (^[Y0 : del]: 228.23/34.00 (((!!) @ (^[Y1 : $i]: 228.23/34.00 (((mem @ Y1 @ bool) => 228.23/34.00 (((!!) @ (^[Y2 : $i]: 228.23/34.00 (((mem @ Y2 @ bool) => 228.23/34.00 (((!!) @ (^[Y3 : $i]: 228.23/34.00 (((mem @ Y3 @ 228.23/34.00 Y0) => 228.23/34.00 (((!!) @ ( 228.23/34.00 ^[Y4 : $i]: 228.23/34.00 (((mem @ 228.23/34.00 Y4 @ Y0) => 228.23/34.00 (((!!) @ ( 228.23/34.00 ^[Y5 : $i]: 228.23/34.00 (( 228.23/34.00 (mem @ 228.23/34.00 Y5 @ 228.23/34.00 Y0) => 228.23/34.00 (( 228.23/34.00 (!!) @ ( 228.23/34.00 ^[Y6 : $i]: 228.23/34.00 (( 228.23/34.00 (mem @ 228.23/34.00 Y6 @ 228.23/34.00 Y0) => 228.23/34.00 (( 228.23/34.00 (( 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 (p @ 228.23/34.00 Y2) <=> 228.23/34.00 (p @ Y1))) & 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 (( 228.23/34.00 (~) @ ( 228.23/34.00 p @ Y2))) => 228.23/34.00 (( 228.23/34.00 (Y5) = 228.23/34.00 (Y6))))) & 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 (p @ 228.23/34.00 Y2) => 228.23/34.00 (( 228.23/34.00 (Y3) = 228.23/34.00 (Y4))))))) => 228.23/34.00 (( 228.23/34.00 (ap @ 228.23/34.00 ( 228.23/34.00 ap @ 228.23/34.00 ( 228.23/34.00 ap @ 228.23/34.00 ( 228.23/34.00 c_2Ebool_2ECOND @ 228.23/34.00 Y0) @ Y1) @ 228.23/34.00 Y3) @ 228.23/34.00 Y5) = 228.23/34.00 (ap @ 228.23/34.00 ( 228.23/34.00 ap @ 228.23/34.00 ( 228.23/34.00 ap @ 228.23/34.00 ( 228.23/34.00 c_2Ebool_2ECOND @ 228.23/34.00 Y0) @ Y2) @ 228.23/34.00 Y4) @ Y6))))))))))))))))))))))))))))))))))))))), 228.23/34.00 inference('cnf', [status(esa)], [conj_thm_2Ebool_2ECOND__CONG])). 228.23/34.00 thf(zip_derived_cl15, plain, 228.23/34.00 ( (((!!) @ ((('#B') @ (!!) @ 228.23/34.00 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.00 ((('#C') @ mem @ bool)))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.00 ((('#C') @ mem @ bool)))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 228.23/34.00 ((('#S') @ ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#S') @ 228.23/34.00 ((('#B') @ ((('#B') @ (=>))) @ 228.23/34.00 ((('#C') @ mem)))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (!!))))))) @ 228.23/34.00 ((('#S') @ ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#S') @ 228.23/34.00 ((('#B') @ ((('#B') @ (=>))) @ 228.23/34.00 ((('#C') @ mem)))))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 !!))))))))) @ 228.23/34.00 ((('#S') @ ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#S') @ 228.23/34.00 ((('#B') @ ((('#B') @ ( 228.23/34.00 =>))) @ 228.23/34.00 ((('#C') @ mem)))))))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ (!!))))))))))) @ 228.23/34.00 ((('#S') @ ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 '#S') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ (=>))) @ 228.23/34.00 ((('#C') @ mem)))))))))))))))) @ 228.23/34.00 ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.00 '#S') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#S'))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#S'))))) @ 228.23/34.00 (( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#S'))))))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#S'))))))))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =>))))))))))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#S') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#C'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#C'))))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#S') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 &))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 <=>) @ p)))) @ 228.23/34.00 p)))))))))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ~) @ p)))))))) @ 228.23/34.00 ( 228.23/34.00 =))))))))))))))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =>) @ p)))))) @ 228.23/34.00 ( 228.23/34.00 =))))))))))))))))))) @ 228.23/34.00 ((('#S') @ ((('#B') @ ('#C') @ 228.23/34.00 ((('#B') @ ((('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 ((('#B') @ (( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#C'))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ('#B'))))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#C'))))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#B'))))))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =))))))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ap)))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ap)) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ap @ 228.23/34.00 c_2Ebool_2ECOND)))))))))))))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ap)))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ap)) @ 228.23/34.00 ((('#B') @ ap @ 228.23/34.00 c_2Ebool_2ECOND))))))))))))))))))))))))))))))))))))), 228.23/34.00 inference('lams2combs', [status(thm)], [zip_derived_cl14])). 228.23/34.00 thf(zip_derived_cl143, plain, 228.23/34.00 (![X2 : del]: 228.23/34.00 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ bool)))) @ 228.23/34.00 ((('#B') @ (!!) @ 228.23/34.00 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.00 ((('#C') @ mem @ bool)))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ((('#C') @ mem @ 228.23/34.00 X2)))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ((('#S') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ((('#C') @ mem @ 228.23/34.00 X2)))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ ( 228.23/34.00 !!))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#S') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ mem @ 228.23/34.00 X2)))))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ (!!))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#S') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ((('#C') @ mem @ 228.23/34.00 X2)))))))))))))) @ 228.23/34.00 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.00 ((('#B') @ ((('#B') @ ( 228.23/34.00 '#S'))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#S'))))) @ 228.23/34.00 ((('#B') @ (( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#S'))))))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#S'))))))))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 =>))))))))))) @ 228.23/34.00 ((('#C') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#S') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 (( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#C'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#C'))))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#S') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 &))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 <=>) @ p)))) @ 228.23/34.00 p)))))))))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ~) @ p)))))))) @ 228.23/34.00 ( 228.23/34.00 =))))))))))))))) @ 228.23/34.00 ((('#C') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 (( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =>) @ p)))))) @ 228.23/34.00 (=))))))))))))))))) @ 228.23/34.00 ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.00 ((('#B') @ ('#C') @ 228.23/34.00 ((('#B') @ (( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ('#C'))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#B'))))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 =))))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ap)) @ 228.23/34.00 ((('#B') @ ap @ 228.23/34.00 ( 228.23/34.00 ap @ 228.23/34.00 ( 228.23/34.00 c_2Ebool_2ECOND @ 228.23/34.00 X2)))))))))))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ap)) @ 228.23/34.00 ((('#B') @ ap @ 228.23/34.00 (ap @ (c_2Ebool_2ECOND @ X2))))))))))))))))))))))))))))))))))), 228.23/34.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 228.23/34.00 thf(zip_derived_cl144, plain, 228.23/34.00 (![X2 : del, X4 : $i]: 228.23/34.00 (((mem @ X4 @ bool) => 228.23/34.00 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ bool)))) @ 228.23/34.00 ((('#B') @ (!!) @ 228.23/34.00 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.00 ((('#C') @ mem @ X2)))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ((('#C') @ mem @ 228.23/34.00 X2)))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ((('#S') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 (( 228.23/34.00 ('#C') @ mem @ 228.23/34.00 X2)))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ ( 228.23/34.00 !!))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#S') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ((('#C') @ mem @ 228.23/34.00 X2)))))))))))) @ 228.23/34.00 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.00 ((('#B') @ ((('#B') @ ( 228.23/34.00 '#S'))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#S'))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#S'))))))) @ 228.23/34.00 ((('#B') @ (( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =>))))))))) @ 228.23/34.00 ((('#S') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 '#C') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#C'))) @ 228.23/34.00 (( 228.23/34.00 ('#S') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 &) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 <=>) @ p)) @ 228.23/34.00 ( 228.23/34.00 p @ X4))))))))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ~) @ p)))))))) @ 228.23/34.00 ( 228.23/34.00 =))))))))))))) @ 228.23/34.00 ((('#C') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 =>) @ p)))))) @ 228.23/34.00 (=))))))))))))))) @ 228.23/34.00 ((('#B') @ ((('#C') @ ((('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 '#C') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 (( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ap @ 228.23/34.00 ( 228.23/34.00 ap @ 228.23/34.00 ( 228.23/34.00 ap @ 228.23/34.00 ( 228.23/34.00 c_2Ebool_2ECOND @ 228.23/34.00 X2) @ X4)))))))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ap)) @ 228.23/34.00 ((('#B') @ ap @ 228.23/34.00 (ap @ (c_2Ebool_2ECOND @ X2))))))))))))))))))))))))))))))))), 228.23/34.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl143])). 228.23/34.00 thf(zip_derived_cl145, plain, 228.23/34.00 (![X2 : del, X4 : $i]: 228.23/34.00 (~ (mem @ X4 @ bool) 228.23/34.00 | (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ bool)))) @ 228.23/34.00 ((('#B') @ (!!) @ 228.23/34.00 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.00 ((('#C') @ mem @ X2)))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ((('#C') @ mem @ 228.23/34.00 X2)))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ((('#S') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ mem @ 228.23/34.00 X2)))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ (( 228.23/34.00 ('#B') @ ( 228.23/34.00 !!))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#S') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ((('#C') @ mem @ 228.23/34.00 X2)))))))))))) @ 228.23/34.00 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.00 ((('#B') @ ((('#B') @ ( 228.23/34.00 '#S'))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#S'))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#S'))))))) @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 (('#B') @ (=>))))))))) @ 228.23/34.00 ((('#S') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 '#C') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#C'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#S') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 &) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 <=>) @ p)) @ 228.23/34.00 ( 228.23/34.00 p @ X4))))))))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ~) @ p)))))))) @ 228.23/34.00 ( 228.23/34.00 =))))))))))))) @ 228.23/34.00 ((('#C') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 =>) @ p)))))) @ 228.23/34.00 (=))))))))))))))) @ 228.23/34.00 ((('#B') @ ((('#C') @ ((('#B') @ ( 228.23/34.00 '#B') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 '#C') @ 228.23/34.00 ((('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 '#B'))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ( 228.23/34.00 =))) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#B') @ ap @ 228.23/34.00 ( 228.23/34.00 ap @ 228.23/34.00 ( 228.23/34.00 ap @ 228.23/34.00 ( 228.23/34.00 c_2Ebool_2ECOND @ 228.23/34.00 X2) @ X4)))))))))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ap)) @ 228.23/34.00 ((('#B') @ ap @ 228.23/34.00 (ap @ (c_2Ebool_2ECOND @ X2)))))))))))))))))))))))))))))))), 228.23/34.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl144])). 228.23/34.00 thf(zip_derived_cl146, plain, 228.23/34.00 (![X2 : del, X4 : $i, X6 : $i]: 228.23/34.00 ( (((mem @ X6 @ bool) => 228.23/34.00 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.00 ((('#B') @ (!!) @ 228.23/34.00 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.00 ((('#C') @ mem @ X2)))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ((('#C') @ mem @ 228.23/34.00 X2)))))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 228.23/34.00 ((('#B') @ ((('#B') @ ((('#B') @ ((('#S') @ ( 228.23/34.00 (('#B') @ ( 228.23/34.00 =>) @ 228.23/34.00 ( 228.23/34.00 ( 228.23/34.00 ('#C') @ mem @ 228.23/34.01 X2)))))))))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 '#S'))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 =>))))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 (('#C') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 '#C') @ 228.23/34.01 ( 228.23/34.01 ( 228.23/34.01 ('#B') @ ( 228.23/34.01 ( 228.23/34.01 ('#B') @ ( 228.23/34.01 ( 228.23/34.01 (&) @ ( 228.23/34.01 ( 228.23/34.01 (p @ 228.23/34.01 X6) <=> 228.23/34.01 (p @ X4))))))) @ 228.23/34.01 ( 228.23/34.01 ( 228.23/34.01 ('#B') @ ( 228.23/34.01 ( 228.23/34.01 ('#B') @ ( 228.23/34.01 ( 228.23/34.01 (=>) @ ( 228.23/34.01 ( 228.23/34.01 (~) @ ( 228.23/34.01 p @ X6))))))) @ 228.23/34.01 ( 228.23/34.01 =))))))))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 ( 228.23/34.01 (=>) @ ( 228.23/34.01 p @ X6))))) @ 228.23/34.01 (=))))))))))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ ('#C') @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 '#B'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 =))) @ 228.23/34.01 ((('#B') @ ap @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ 228.23/34.01 (c_2Ebool_2ECOND @ 228.23/34.01 X2) @ 228.23/34.01 X4)))))))))))) @ 228.23/34.01 ((('#B') @ ap @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ (c_2Ebool_2ECOND @ X2) @ X6)))))))))))))))))))))))))) 228.23/34.01 | ~ (mem @ X4 @ bool))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl145])). 228.23/34.01 thf(zip_derived_cl147, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i]: 228.23/34.01 (~ (mem @ X6 @ bool) 228.23/34.01 | (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.01 ((('#B') @ (!!) @ 228.23/34.01 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ mem @ X2)))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.01 =>) @ 228.23/34.01 ((('#C') @ mem @ 228.23/34.01 X2)))))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#B') @ ((('#S') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 =>) @ 228.23/34.01 ( 228.23/34.01 ( 228.23/34.01 ('#C') @ mem @ 228.23/34.01 X2)))))))))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 '#S'))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 =>))))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 (('#C') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 '#C') @ 228.23/34.01 ( 228.23/34.01 ( 228.23/34.01 ('#B') @ ( 228.23/34.01 ( 228.23/34.01 ('#B') @ ( 228.23/34.01 ( 228.23/34.01 (&) @ ( 228.23/34.01 ( 228.23/34.01 (p @ 228.23/34.01 X6) <=> 228.23/34.01 (p @ X4))))))) @ 228.23/34.01 ( 228.23/34.01 ( 228.23/34.01 ('#B') @ ( 228.23/34.01 ( 228.23/34.01 ('#B') @ ( 228.23/34.01 ( 228.23/34.01 (=>) @ ( 228.23/34.01 ( 228.23/34.01 (~) @ ( 228.23/34.01 p @ X6))))))) @ 228.23/34.01 ( 228.23/34.01 =))))))))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 ( 228.23/34.01 (=>) @ ( 228.23/34.01 p @ X6))))) @ 228.23/34.01 (=))))))))))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ ('#C') @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 '#B'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 =))) @ 228.23/34.01 ((('#B') @ ap @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ 228.23/34.01 (c_2Ebool_2ECOND @ 228.23/34.01 X2) @ 228.23/34.01 X4)))))))))))) @ 228.23/34.01 ((('#B') @ ap @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ (c_2Ebool_2ECOND @ X2) @ X6)))))))))))))))))))))))) 228.23/34.01 | ~ (mem @ X4 @ bool))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 228.23/34.01 thf(zip_derived_cl148, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i]: 228.23/34.01 ( (((mem @ X8 @ X2) => 228.23/34.01 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.01 ((('#B') @ (!!) @ 228.23/34.01 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ mem @ X2)))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.01 =>) @ 228.23/34.01 ((('#C') @ mem @ 228.23/34.01 X2)))))))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ (( 228.23/34.01 ('#B') @ ( 228.23/34.01 =>))))) @ 228.23/34.01 ((('#B') @ ((('#C') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 '#C') @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 ((&) @ ( 228.23/34.01 ((p @ 228.23/34.01 X6) <=> 228.23/34.01 (p @ X4))))))) @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 ((=>) @ ( 228.23/34.01 ((~) @ ( 228.23/34.01 p @ X6))))))) @ 228.23/34.01 (=))))))))) @ 228.23/34.01 ((('#B') @ (((=>) @ (p @ X6))) @ 228.23/34.01 ((($i) = (X8))))))))))))) @ 228.23/34.01 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ (=) @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ 228.23/34.01 (c_2Ebool_2ECOND @ 228.23/34.01 X2) @ 228.23/34.01 X4) @ 228.23/34.01 X8)))))))) @ 228.23/34.01 ((('#B') @ ap @ 228.23/34.01 (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6)))))))))))))))))))))) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl147])). 228.23/34.01 thf(zip_derived_cl149, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i]: 228.23/34.01 (~ (mem @ X8 @ X2) 228.23/34.01 | (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.01 ((('#B') @ (!!) @ 228.23/34.01 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ mem @ X2)))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.01 =>) @ 228.23/34.01 ((('#C') @ mem @ 228.23/34.01 X2)))))))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ (( 228.23/34.01 ('#B') @ ( 228.23/34.01 =>))))) @ 228.23/34.01 ((('#B') @ ((('#C') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 '#C') @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 ((&) @ ( 228.23/34.01 ((p @ 228.23/34.01 X6) <=> 228.23/34.01 (p @ X4))))))) @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 ((=>) @ ( 228.23/34.01 ((~) @ ( 228.23/34.01 p @ X6))))))) @ 228.23/34.01 (=))))))))) @ 228.23/34.01 ((('#B') @ (((=>) @ (p @ X6))) @ 228.23/34.01 ((($i) = (X8))))))))))))) @ 228.23/34.01 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ (=) @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ 228.23/34.01 (c_2Ebool_2ECOND @ 228.23/34.01 X2) @ 228.23/34.01 X4) @ 228.23/34.01 X8)))))))) @ 228.23/34.01 ((('#B') @ ap @ 228.23/34.01 (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6)))))))))))))))))))) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X4 @ bool))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl148])). 228.23/34.01 thf(zip_derived_cl150, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i]: 228.23/34.01 ( (((mem @ X10 @ X2) => 228.23/34.01 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.01 ((('#B') @ (!!) @ 228.23/34.01 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ mem @ X2)))))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ (=>))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#C') @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 ((&) @ ( 228.23/34.01 ( 228.23/34.01 (p @ 228.23/34.01 X6) <=> 228.23/34.01 (p @ X4))))))) @ 228.23/34.01 ((('#B') @ (( 228.23/34.01 ('#B') @ ( 228.23/34.01 ( 228.23/34.01 (=>) @ ( 228.23/34.01 ( 228.23/34.01 (~) @ ( 228.23/34.01 p @ X6))))))) @ 228.23/34.01 (=))))))) @ 228.23/34.01 (((p @ X6) => (((X8) = (X10))))))))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ (=) @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ (c_2Ebool_2ECOND @ X2) @ 228.23/34.01 X4) @ 228.23/34.01 X8)))))) @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10)))))))))))))))) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl149])). 228.23/34.01 thf(zip_derived_cl151, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i]: 228.23/34.01 (~ (mem @ X10 @ X2) 228.23/34.01 | (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.01 ((('#B') @ (!!) @ 228.23/34.01 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ mem @ X2)))))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ (=>))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#C') @ 228.23/34.01 ((('#B') @ ((('#B') @ ( 228.23/34.01 ((&) @ ( 228.23/34.01 ( 228.23/34.01 (p @ 228.23/34.01 X6) <=> 228.23/34.01 (p @ X4))))))) @ 228.23/34.01 ((('#B') @ (( 228.23/34.01 ('#B') @ ( 228.23/34.01 ( 228.23/34.01 (=>) @ ( 228.23/34.01 ( 228.23/34.01 (~) @ ( 228.23/34.01 p @ X6))))))) @ 228.23/34.01 (=))))))) @ 228.23/34.01 (((p @ X6) => (((X8) = (X10))))))))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ (=) @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ (c_2Ebool_2ECOND @ X2) @ 228.23/34.01 X4) @ 228.23/34.01 X8)))))) @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10)))))))))))))) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X4 @ bool))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl150])). 228.23/34.01 thf(zip_derived_cl152, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i]: 228.23/34.01 ( (((mem @ X12 @ X2) => 228.23/34.01 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.01 ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ ((('#B') @ (((&) @ (((p @ 228.23/34.01 X6) <=> 228.23/34.01 (p @ X4))))) @ 228.23/34.01 ((('#B') @ (((=>) @ ( 228.23/34.01 ((~) @ (p @ X6))))) @ 228.23/34.01 ((($i) = (X12))))))) @ 228.23/34.01 (((p @ X6) => (((X8) = (X10))))))))) @ 228.23/34.01 ((('#B') @ ((($i) = (ap @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ 228.23/34.01 X12))) @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10)))))))))))) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl151])). 228.23/34.01 thf(zip_derived_cl153, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i]: 228.23/34.01 (~ (mem @ X12 @ X2) 228.23/34.01 | (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.01 ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ ((('#B') @ (((&) @ (((p @ 228.23/34.01 X6) <=> 228.23/34.01 (p @ X4))))) @ 228.23/34.01 ((('#B') @ (((=>) @ ( 228.23/34.01 ((~) @ (p @ X6))))) @ 228.23/34.01 ((($i) = (X12))))))) @ 228.23/34.01 (((p @ X6) => (((X8) = (X10))))))))) @ 228.23/34.01 ((('#B') @ ((($i) = (ap @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ 228.23/34.01 X12))) @ 228.23/34.01 (ap @ 228.23/34.01 (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10)))))))))) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X4 @ bool))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl152])). 228.23/34.01 thf(zip_derived_cl154, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 ( (((mem @ X14 @ X2) => 228.23/34.01 (((((((p @ X6) <=> (p @ X4))) & 228.23/34.01 (((((~) @ (p @ X6))) => (((X12) = (X14))))) & 228.23/34.01 (((p @ X6) => (((X8) = (X10))))))) => 228.23/34.01 (((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) = 228.23/34.01 (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14))))))) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl153])). 228.23/34.01 thf(zip_derived_cl155, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (~ (mem @ X14 @ X2) 228.23/34.01 | (((((((p @ X6) <=> (p @ X4))) & 228.23/34.01 (((((~) @ (p @ X6))) => (((X12) = (X14))))) & 228.23/34.01 (((p @ X6) => (((X8) = (X10))))))) => 228.23/34.01 (((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) = 228.23/34.01 (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14))))) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X4 @ bool))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl154])). 228.23/34.01 thf(zip_derived_cl156, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (~ (((((p @ X6) <=> (p @ X4))) & 228.23/34.01 (((((~) @ (p @ X6))) => (((X12) = (X14))))) & 228.23/34.01 (((p @ X6) => (((X8) = (X10))))))) 228.23/34.01 | (((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) = 228.23/34.01 (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14))) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X14 @ X2))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl155])). 228.23/34.01 thf(zip_derived_cl157, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (~ (((((p @ X6) <=> (p @ X4))) & 228.23/34.01 (((((~) @ (p @ X6))) => (((X12) = (X14))))) & 228.23/34.01 (((p @ X6) => (((X8) = (X10))))))) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X14 @ X2))), 228.23/34.01 inference('simplify nested equalities', [status(thm)], 228.23/34.01 [zip_derived_cl156])). 228.23/34.01 thf(zip_derived_cl158, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (~ (((p @ X6) <=> (p @ X4))) 228.23/34.01 | ~ (((((~) @ (p @ X6))) => (((X12) = (X14))))) 228.23/34.01 | ~ (((p @ X6) => (((X8) = (X10))))) 228.23/34.01 | ~ (mem @ X14 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)))), 228.23/34.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl157])). 228.23/34.01 thf(zip_derived_cl159, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (((p @ X6) != (p @ X4)) 228.23/34.01 | ~ (((((~) @ (p @ X6))) => (((X12) = (X14))))) 228.23/34.01 | ~ (((p @ X6) => (((X8) = (X10))))) 228.23/34.01 | ~ (mem @ X14 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)))), 228.23/34.01 inference('simplify nested equalities', [status(thm)], 228.23/34.01 [zip_derived_cl158])). 228.23/34.01 thf(zip_derived_cl161, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (~ (((X12) = (X14))) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X14 @ X2) 228.23/34.01 | ~ (((p @ X6) => (((X8) = (X10))))) 228.23/34.01 | ((p @ X6) != (p @ X4)))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl159])). 228.23/34.01 thf(zip_derived_cl165, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (((X12) != (X14)) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X14 @ X2) 228.23/34.01 | ~ (((p @ X6) => (((X8) = (X10))))) 228.23/34.01 | ((p @ X6) != (p @ X4)))), 228.23/34.01 inference('simplify nested equalities', [status(thm)], 228.23/34.01 [zip_derived_cl161])). 228.23/34.01 thf(zip_derived_cl167, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (~ (((X8) = (X10))) 228.23/34.01 | ((p @ X6) != (p @ X4)) 228.23/34.01 | ~ (mem @ X14 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.01 | ((X12) != (X14)))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl165])). 228.23/34.01 thf(zip_derived_cl169, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (((X8) != (X10)) 228.23/34.01 | ((p @ X6) != (p @ X4)) 228.23/34.01 | ~ (mem @ X14 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.01 | ((X12) != (X14)))), 228.23/34.01 inference('simplify nested equalities', [status(thm)], 228.23/34.01 [zip_derived_cl167])). 228.23/34.01 thf(stp_inj_mem_ty_2Enum_2Enum, axiom, 228.23/34.01 (![X:tp__ty_2Enum_2Enum]: 228.23/34.01 ( mem @ ( inj__ty_2Enum_2Enum @ X ) @ ty_2Enum_2Enum ))). 228.23/34.01 thf(zip_derived_cl10, plain, 228.23/34.01 ( (((!!) @ (^[Y0 : tp__ty_2Enum_2Enum]: 228.23/34.01 (mem @ (inj__ty_2Enum_2Enum @ Y0) @ ty_2Enum_2Enum))))), 228.23/34.01 inference('cnf', [status(esa)], [stp_inj_mem_ty_2Enum_2Enum])). 228.23/34.01 thf(zip_derived_cl11, plain, 228.23/34.01 ( (((!!) @ ((('#C') @ ((('#B') @ mem @ inj__ty_2Enum_2Enum)) @ 228.23/34.01 ty_2Enum_2Enum))))), 228.23/34.01 inference('lams2combs', [status(thm)], [zip_derived_cl10])). 228.23/34.01 thf(zip_derived_cl47, plain, 228.23/34.01 (![X2 : tp__ty_2Enum_2Enum]: 228.23/34.01 (mem @ (inj__ty_2Enum_2Enum @ X2) @ ty_2Enum_2Enum)), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 228.23/34.01 thf(zip_derived_cl160, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (~ (p @ X6) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X14 @ X2) 228.23/34.01 | ~ (((p @ X6) => (((X8) = (X10))))) 228.23/34.01 | ((p @ X6) != (p @ X4)))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl159])). 228.23/34.01 thf(zip_derived_cl162, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (~ (p @ X6) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X14 @ X2) 228.23/34.01 | ~ ((($true) => (((X8) = (X10))))) 228.23/34.01 | ~ (p @ X4))), 228.23/34.01 inference('local_rewriting', [status(thm)], [zip_derived_cl160])). 228.23/34.01 thf(zip_derived_cl163, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (~ (p @ X6) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X14 @ X2) 228.23/34.01 | ~ (((X8) = (X10))) 228.23/34.01 | ~ (p @ X4))), 228.23/34.01 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl162])). 228.23/34.01 thf(zip_derived_cl164, plain, 228.23/34.01 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.01 (~ (p @ X6) 228.23/34.01 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.01 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.01 | ~ (mem @ X4 @ bool) 228.23/34.01 | ~ (mem @ X6 @ bool) 228.23/34.01 | ~ (mem @ X8 @ X2) 228.23/34.01 | ~ (mem @ X10 @ X2) 228.23/34.01 | ~ (mem @ X12 @ X2) 228.23/34.01 | ~ (mem @ X14 @ X2) 228.23/34.01 | ((X8) != (X10)) 228.23/34.01 | ~ (p @ X4))), 228.23/34.01 inference('simplify nested equalities', [status(thm)], 228.23/34.01 [zip_derived_cl163])). 228.23/34.01 thf(zip_derived_cl61, plain, 228.23/34.01 (![X2 : del]: 228.23/34.01 (mem @ (c_2Ewords_2Eword__2comp @ X2) @ 228.23/34.01 (arr @ (ty_2Efcp_2Ecart @ bool @ X2) @ (ty_2Efcp_2Ecart @ bool @ X2)))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 228.23/34.01 thf(ap_tp, axiom, 228.23/34.01 (![A:del,B:del,F:$i]: 228.23/34.01 ( ( mem @ F @ ( arr @ A @ B ) ) => 228.23/34.01 ( ![X:$i]: ( ( mem @ X @ A ) => ( mem @ ( ap @ F @ X ) @ B ) ) ) ))). 228.23/34.01 thf(zip_derived_cl2, plain, 228.23/34.01 ( (((!!) @ (^[Y0 : del]: 228.23/34.01 (((!!) @ (^[Y1 : del]: 228.23/34.01 (((!!) @ (^[Y2 : $i]: 228.23/34.01 (((mem @ Y2 @ (arr @ Y0 @ Y1)) => 228.23/34.01 (((!!) @ (^[Y3 : $i]: 228.23/34.01 (((mem @ Y3 @ Y0) => 228.23/34.01 (mem @ 228.23/34.01 (ap @ Y2 @ Y3) @ 228.23/34.01 Y1)))))))))))))))))), 228.23/34.01 inference('cnf', [status(esa)], [ap_tp])). 228.23/34.01 thf(zip_derived_cl3, plain, 228.23/34.01 ( (((!!) @ ((('#B') @ (!!) @ 228.23/34.01 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#C') @ mem)))) @ 228.23/34.01 arr)))))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ (=>))) @ 228.23/34.01 ((('#C') @ mem)))))))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#C') @ 228.23/34.01 ((('#B') @ ((('#B') @ mem)) @ ap))))))))))))))))))), 228.23/34.01 inference('lams2combs', [status(thm)], [zip_derived_cl2])). 228.23/34.01 thf(zip_derived_cl80, plain, 228.23/34.01 (![X2 : del]: 228.23/34.01 (((!!) @ ((('#B') @ (!!) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ (=>))) @ 228.23/34.01 ((('#B') @ ((('#C') @ mem)) @ (arr @ X2))))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ mem @ X2)))))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#C') @ 228.23/34.01 ((('#B') @ ((('#B') @ mem)) @ ap))))))))))))))))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 228.23/34.01 thf(zip_derived_cl81, plain, 228.23/34.01 (![X2 : del, X4 : del]: 228.23/34.01 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ mem @ (arr @ X2 @ X4))))) @ 228.23/34.01 ((('#B') @ (!!) @ 228.23/34.01 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ mem @ X2)))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#C') @ 228.23/34.01 ((('#B') @ ((('#B') @ mem)) @ ap)))) @ 228.23/34.01 X4))))))))))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl80])). 228.23/34.01 thf(zip_derived_cl82, plain, 228.23/34.01 (![X2 : del, X4 : del, X6 : $i]: 228.23/34.01 (((mem @ X6 @ (arr @ X2 @ X4)) => 228.23/34.01 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.01 ((('#C') @ ((('#B') @ mem @ (ap @ X6))) @ X4))))))))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl81])). 228.23/34.01 thf(zip_derived_cl83, plain, 228.23/34.01 (![X2 : del, X4 : del, X6 : $i]: 228.23/34.01 (~ (mem @ X6 @ (arr @ X2 @ X4)) 228.23/34.01 | (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.01 ((('#C') @ ((('#B') @ mem @ (ap @ X6))) @ X4)))))))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])). 228.23/34.01 thf(zip_derived_cl84, plain, 228.23/34.01 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.01 ( (((mem @ X8 @ X2) => (mem @ (ap @ X6 @ X8) @ X4))) 228.23/34.01 | ~ (mem @ X6 @ (arr @ X2 @ X4)))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl83])). 228.23/34.01 thf(zip_derived_cl85, plain, 228.23/34.01 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.01 (~ (mem @ X8 @ X2) 228.23/34.01 | (mem @ (ap @ X6 @ X8) @ X4) 228.23/34.01 | ~ (mem @ X6 @ (arr @ X2 @ X4)))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl84])). 228.23/34.01 thf(zip_derived_cl228, plain, 228.23/34.01 (![X0 : del, X1 : del, X2 : $i]: 228.23/34.01 (~ (mem @ X2 @ 228.23/34.01 (arr @ 228.23/34.01 (arr @ (ty_2Efcp_2Ecart @ bool @ X0) @ 228.23/34.01 (ty_2Efcp_2Ecart @ bool @ X0)) @ 228.23/34.01 X1)) 228.23/34.01 | (mem @ (ap @ X2 @ (c_2Ewords_2Eword__2comp @ X0)) @ X1))), 228.23/34.01 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl85])). 228.23/34.01 thf(zip_derived_cl48, plain, 228.23/34.01 (![X2 : del]: 228.23/34.01 (mem @ (c_2Ewords_2En2w @ X2) @ 228.23/34.01 (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X2)))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 228.23/34.01 thf(zip_derived_cl85, plain, 228.23/34.01 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.01 (~ (mem @ X8 @ X2) 228.23/34.01 | (mem @ (ap @ X6 @ X8) @ X4) 228.23/34.01 | ~ (mem @ X6 @ (arr @ X2 @ X4)))), 228.23/34.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl84])). 228.23/34.01 thf(zip_derived_cl222, plain, 228.23/34.01 (![X0 : del, X1 : del, X2 : $i]: 228.23/34.01 (~ (mem @ X2 @ 228.23/34.01 (arr @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X0)) @ X1)) 228.23/34.01 | (mem @ (ap @ X2 @ (c_2Ewords_2En2w @ X0)) @ X1))), 228.23/34.01 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl85])). 228.23/34.01 thf(mem_c_2Ebool_2EF, axiom, (mem @ c_2Ebool_2EF @ bool)). 228.23/34.01 thf(zip_derived_cl6, plain, ( (mem @ c_2Ebool_2EF @ bool)), 228.23/34.01 inference('cnf', [status(esa)], [mem_c_2Ebool_2EF])). 228.23/34.01 thf(ax_false_p, axiom, (~( p @ c_2Ebool_2EF ))). 228.23/34.01 thf(zip_derived_cl26, plain, (~ (p @ c_2Ebool_2EF)), 228.23/34.01 inference('cnf', [status(esa)], [ax_false_p])). 228.23/34.01 thf(funcext, axiom, 228.23/34.01 (![A:del,B:del,F:$i]: 228.23/34.01 ( ( mem @ F @ ( arr @ A @ B ) ) => 228.23/34.01 ( ![G:$i]: 228.23/34.01 ( ( mem @ G @ ( arr @ A @ B ) ) => 228.23/34.01 ( ( ![X:$i]: 228.23/34.01 ( ( mem @ X @ A ) => ( ( ap @ F @ X ) = ( ap @ G @ X ) ) ) ) => 228.23/34.01 ( ( F ) = ( G ) ) ) ) ) ))). 228.23/34.01 thf(zip_derived_cl0, plain, 228.23/34.01 ( (((!!) @ (^[Y0 : del]: 228.23/34.01 (((!!) @ (^[Y1 : del]: 228.23/34.01 (((!!) @ (^[Y2 : $i]: 228.23/34.01 (((mem @ Y2 @ (arr @ Y0 @ Y1)) => 228.23/34.01 (((!!) @ (^[Y3 : $i]: 228.23/34.01 (((mem @ Y3 @ 228.23/34.01 (arr @ Y0 @ Y1)) => 228.23/34.01 (((((!!) @ ( 228.23/34.01 ^[Y4 : $i]: 228.23/34.01 (((mem @ 228.23/34.01 Y4 @ Y0) => 228.23/34.01 (((ap @ 228.23/34.01 Y2 @ 228.23/34.01 Y4) = 228.23/34.01 (ap @ 228.23/34.01 Y3 @ Y4)))))))) => 228.23/34.01 (((Y2) = (Y3)))))))))))))))))))))), 228.23/34.01 inference('cnf', [status(esa)], [funcext])). 228.23/34.01 thf(zip_derived_cl1, plain, 228.23/34.01 ( (((!!) @ ((('#B') @ (!!) @ 228.23/34.01 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#C') @ mem)))) @ 228.23/34.01 arr)))))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#C') @ 228.23/34.01 ((('#B') @ ((('#B') @ ('#B'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#C') @ mem)))) @ 228.23/34.01 arr)))))))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ ('#S'))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#B') @ ( 228.23/34.01 !!))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 '#B') @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 '#S') @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 (('#B') @ (=>))) @ 228.23/34.01 ((('#C') @ mem)))))))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ( 228.23/34.01 '#B') @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 '#S') @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 (('#B') @ (=))) @ 228.23/34.01 ap)))))) @ 228.23/34.01 ap)))))))))))) @ 228.23/34.01 (=)))))))))))))))), 228.23/34.01 inference('lams2combs', [status(thm)], [zip_derived_cl0])). 228.23/34.01 thf(zip_derived_cl49, plain, 228.23/34.01 (![X2 : del]: 228.23/34.01 (((!!) @ ((('#B') @ (!!) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ (=>))) @ 228.23/34.01 ((('#B') @ ((('#C') @ mem)) @ (arr @ X2))))))) @ 228.23/34.01 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ (=>))) @ 228.23/34.01 ((('#B') @ ((('#C') @ mem)) @ 228.23/34.01 (arr @ X2))))))))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ (=>))) @ 228.23/34.01 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#S') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 =>) @ 228.23/34.01 (( 228.23/34.01 ('#C') @ mem @ 228.23/34.01 X2)))))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 '#S') @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 (('#B') @ (=))) @ 228.23/34.01 ap)))))) @ 228.23/34.01 ap)))))))))) @ 228.23/34.01 (=)))))))))))))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 228.23/34.01 thf(zip_derived_cl50, plain, 228.23/34.01 (![X2 : del, X4 : del]: 228.23/34.01 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ mem @ (arr @ X2 @ X4))))) @ 228.23/34.01 ((('#B') @ (!!) @ 228.23/34.01 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.01 ((('#C') @ mem @ (arr @ X2 @ X4))))))) @ 228.23/34.01 ((('#S') @ ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ((('#B') @ (=>))) @ 228.23/34.01 ((('#B') @ ((('#B') @ (!!))) @ 228.23/34.01 ((('#B') @ ((('#B') @ ((('#S') @ ( 228.23/34.01 (('#B') @ ( 228.23/34.01 =>) @ 228.23/34.01 ((('#C') @ mem @ 228.23/34.01 X2)))))))) @ 228.23/34.01 ((('#C') @ ((('#B') @ ('#B') @ 228.23/34.01 ((('#B') @ ('#S') @ 228.23/34.01 ((('#B') @ ( 228.23/34.01 (('#B') @ (=))) @ 228.23/34.01 ap)))))) @ 228.23/34.01 ap)))))))))) @ 228.23/34.01 (=)))))))))))), 228.23/34.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl49])). 228.23/34.02 thf(zip_derived_cl51, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i]: 228.23/34.02 (((mem @ X6 @ (arr @ X2 @ X4)) => 228.23/34.02 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.02 ((('#C') @ mem @ (arr @ X2 @ X4))))) @ 228.23/34.02 ((('#S') @ ((('#B') @ (=>) @ 228.23/34.02 ((('#B') @ (!!) @ 228.23/34.02 ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.02 =>) @ 228.23/34.02 ((('#C') @ mem @ 228.23/34.02 X2)))))) @ 228.23/34.02 ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.02 =) @ (ap @ X6))))) @ 228.23/34.02 ap)))))))) @ 228.23/34.02 ((($i) = (X6)))))))))))), 228.23/34.02 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 228.23/34.02 thf(zip_derived_cl52, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i]: 228.23/34.02 (~ (mem @ X6 @ (arr @ X2 @ X4)) 228.23/34.02 | (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.02 ((('#C') @ mem @ (arr @ X2 @ X4))))) @ 228.23/34.02 ((('#S') @ ((('#B') @ (=>) @ 228.23/34.02 ((('#B') @ (!!) @ 228.23/34.02 ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.02 =>) @ 228.23/34.02 ((('#C') @ mem @ 228.23/34.02 X2)))))) @ 228.23/34.02 ((('#B') @ ((('#S') @ ((('#B') @ ( 228.23/34.02 =) @ ( 228.23/34.02 ap @ X6))))) @ 228.23/34.02 ap)))))))) @ 228.23/34.02 ((($i) = (X6))))))))))), 228.23/34.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl51])). 228.23/34.02 thf(zip_derived_cl53, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.02 ( (((mem @ X8 @ (arr @ X2 @ X4)) => 228.23/34.02 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.02 ((('#S') @ ((('#B') @ (=) @ (ap @ X6))) @ (ap @ X8))))))) => 228.23/34.02 (((X6) = (X8))))))) 228.23/34.02 | ~ (mem @ X6 @ (arr @ X2 @ X4)))), 228.23/34.02 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 228.23/34.02 thf(zip_derived_cl54, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.02 (~ (mem @ X8 @ (arr @ X2 @ X4)) 228.23/34.02 | (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.02 ((('#S') @ ((('#B') @ (=) @ (ap @ X6))) @ (ap @ X8))))))) => 228.23/34.02 (((X6) = (X8))))) 228.23/34.02 | ~ (mem @ X6 @ (arr @ X2 @ X4)))), 228.23/34.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl53])). 228.23/34.02 thf(zip_derived_cl55, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.02 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.02 ((('#S') @ ((('#B') @ (=) @ (ap @ X6))) @ (ap @ X8))))))) 228.23/34.02 | (((X6) = (X8))) 228.23/34.02 | ~ (mem @ X6 @ (arr @ X2 @ X4)) 228.23/34.02 | ~ (mem @ X8 @ (arr @ X2 @ X4)))), 228.23/34.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 228.23/34.02 thf(zip_derived_cl56, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.02 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.02 ((('#S') @ ((('#B') @ (=) @ (ap @ X6))) @ (ap @ X8))))))) 228.23/34.02 | ((X6) = (X8)) 228.23/34.02 | ~ (mem @ X6 @ (arr @ X2 @ X4)) 228.23/34.02 | ~ (mem @ X8 @ (arr @ X2 @ X4)))), 228.23/34.02 inference('simplify nested equalities', [status(thm)], [zip_derived_cl55])). 228.23/34.02 thf(zip_derived_cl57, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.02 (~ (((mem @ ('#sk1' @ X2 @ X6 @ X8) @ X2) => 228.23/34.02 (((ap @ X6 @ ('#sk1' @ X2 @ X6 @ X8)) = (ap @ X8 @ 228.23/34.02 ('#sk1' @ X2 @ X6 @ X8)))))) 228.23/34.02 | ~ (mem @ X8 @ (arr @ X2 @ X4)) 228.23/34.02 | ~ (mem @ X6 @ (arr @ X2 @ X4)) 228.23/34.02 | ((X6) = (X8)))), 228.23/34.02 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl56])). 228.23/34.02 thf(zip_derived_cl58, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.02 ( (mem @ ('#sk1' @ X2 @ X6 @ X8) @ X2) 228.23/34.02 | ((X6) = (X8)) 228.23/34.02 | ~ (mem @ X6 @ (arr @ X2 @ X4)) 228.23/34.02 | ~ (mem @ X8 @ (arr @ X2 @ X4)))), 228.23/34.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 228.23/34.02 thf(zip_derived_cl110, plain, 228.23/34.02 (![X2 : del]: 228.23/34.02 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.02 ((('#B') @ (!!) @ 228.23/34.02 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 228.23/34.02 ((('#C') @ mem @ X2)))))) @ 228.23/34.02 ((('#C') @ ((('#B') @ ('#S') @ 228.23/34.02 ((('#B') @ ((('#B') @ (=))) @ 228.23/34.02 ((('#B') @ ap @ 228.23/34.02 (ap @ 228.23/34.02 (ap @ (c_2Ebool_2ECOND @ X2) @ 228.23/34.02 c_2Ebool_2EF)))))))) @ 228.23/34.02 ('#I')))))))))))), 228.23/34.02 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl109])). 228.23/34.02 thf(zip_derived_cl112, plain, 228.23/34.02 (![X2 : del, X4 : $i]: 228.23/34.02 (((mem @ X4 @ X2) => 228.23/34.02 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.02 ((('#S') @ ((('#B') @ (=) @ 228.23/34.02 (ap @ 228.23/34.02 (ap @ 228.23/34.02 (ap @ (c_2Ebool_2ECOND @ X2) @ 228.23/34.02 c_2Ebool_2EF) @ 228.23/34.02 X4)))) @ 228.23/34.02 ('#I')))))))))), 228.23/34.02 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl110])). 228.23/34.02 thf(zip_derived_cl114, plain, 228.23/34.02 (![X2 : del, X4 : $i]: 228.23/34.02 (~ (mem @ X4 @ X2) 228.23/34.02 | (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ mem @ X2)))) @ 228.23/34.02 ((('#S') @ ((('#B') @ (=) @ 228.23/34.02 (ap @ 228.23/34.02 (ap @ 228.23/34.02 (ap @ (c_2Ebool_2ECOND @ X2) @ 228.23/34.02 c_2Ebool_2EF) @ 228.23/34.02 X4)))) @ 228.23/34.02 ('#I'))))))))), 228.23/34.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl112])). 228.23/34.02 thf(zip_derived_cl116, plain, 228.23/34.02 (![X2 : del, X4 : $i, X6 : $i]: 228.23/34.02 ( (((mem @ X6 @ X2) => 228.23/34.02 (((ap @ 228.23/34.02 (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ c_2Ebool_2EF) @ X4) @ X6) = 228.23/34.02 (X6))))) 228.23/34.02 | ~ (mem @ X4 @ X2))), 228.23/34.02 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl114])). 228.23/34.02 thf(zip_derived_cl118, plain, 228.23/34.02 (![X2 : del, X4 : $i, X6 : $i]: 228.23/34.02 (~ (mem @ X6 @ X2) 228.23/34.02 | (((ap @ 228.23/34.02 (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ c_2Ebool_2EF) @ X4) @ X6) = 228.23/34.02 (X6))) 228.23/34.02 | ~ (mem @ X4 @ X2))), 228.23/34.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl116])). 228.23/34.02 thf(zip_derived_cl120, plain, 228.23/34.02 (![X2 : del, X4 : $i, X6 : $i]: 228.23/34.02 (~ (mem @ X6 @ X2) 228.23/34.02 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ c_2Ebool_2EF) @ X4) @ 228.23/34.02 X6) = (X6)) 228.23/34.02 | ~ (mem @ X4 @ X2))), 228.23/34.02 inference('simplify nested equalities', [status(thm)], 228.23/34.02 [zip_derived_cl118])). 228.23/34.02 thf(zip_derived_cl59, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.02 (~ (((ap @ X6 @ ('#sk1' @ X2 @ X6 @ X8)) = (ap @ X8 @ 228.23/34.02 ('#sk1' @ X2 @ X6 @ X8)))) 228.23/34.02 | ((X6) = (X8)) 228.23/34.02 | ~ (mem @ X6 @ (arr @ X2 @ X4)) 228.23/34.02 | ~ (mem @ X8 @ (arr @ X2 @ X4)))), 228.23/34.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 228.23/34.02 thf(zip_derived_cl60, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.02 (((ap @ X6 @ ('#sk1' @ X2 @ X6 @ X8)) 228.23/34.02 != (ap @ X8 @ ('#sk1' @ X2 @ X6 @ X8))) 228.23/34.02 | ((X6) = (X8)) 228.23/34.02 | ~ (mem @ X6 @ (arr @ X2 @ X4)) 228.23/34.02 | ~ (mem @ X8 @ (arr @ X2 @ X4)))), 228.23/34.02 inference('simplify nested equalities', [status(thm)], [zip_derived_cl59])). 228.23/34.02 thf(zip_derived_cl166, plain, 228.23/34.02 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.02 ( (p @ X6) 228.23/34.02 | ((p @ X6) != (p @ X4)) 228.23/34.02 | ~ (mem @ X14 @ X2) 228.23/34.02 | ~ (mem @ X12 @ X2) 228.23/34.02 | ~ (mem @ X10 @ X2) 228.23/34.02 | ~ (mem @ X8 @ X2) 228.23/34.02 | ~ (mem @ X6 @ bool) 228.23/34.02 | ~ (mem @ X4 @ bool) 228.23/34.02 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.02 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.02 | ((X12) != (X14)))), 228.23/34.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl165])). 228.23/34.02 thf(zip_derived_cl168, plain, 228.23/34.02 (![X2 : del, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i, X14 : $i]: 228.23/34.02 ( (p @ X6) 228.23/34.02 | (p @ X4) 228.23/34.02 | ~ (mem @ X14 @ X2) 228.23/34.02 | ~ (mem @ X12 @ X2) 228.23/34.02 | ~ (mem @ X10 @ X2) 228.23/34.02 | ~ (mem @ X8 @ X2) 228.23/34.02 | ~ (mem @ X6 @ bool) 228.23/34.02 | ~ (mem @ X4 @ bool) 228.23/34.02 | ((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X4) @ X8) @ X12) 228.23/34.02 = (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ X6) @ X10) @ X14)) 228.23/34.02 | ((X12) != (X14)))), 228.23/34.02 inference('local_rewriting', [status(thm)], [zip_derived_cl166])). 228.23/34.02 thf(mem_c_2Ebool_2ECOND, axiom, 228.23/34.02 (![A_27a:del]: 228.23/34.02 ( mem @ 228.23/34.02 ( c_2Ebool_2ECOND @ A_27a ) @ 228.23/34.02 ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ))). 228.23/34.02 thf(zip_derived_cl27, plain, 228.23/34.02 ( (((!!) @ (^[Y0 : del]: 228.23/34.02 (mem @ (c_2Ebool_2ECOND @ Y0) @ 228.23/34.02 (arr @ bool @ (arr @ Y0 @ (arr @ Y0 @ Y0)))))))), 228.23/34.02 inference('cnf', [status(esa)], [mem_c_2Ebool_2ECOND])). 228.23/34.02 thf(zip_derived_cl28, plain, 228.23/34.02 ( (((!!) @ ((('#S') @ ((('#B') @ mem @ c_2Ebool_2ECOND)) @ 228.23/34.02 ((('#B') @ (arr @ bool) @ 228.23/34.02 ((('#S') @ arr @ ((('#S') @ arr @ ('#I')))))))))))), 228.23/34.02 inference('lams2combs', [status(thm)], [zip_derived_cl27])). 228.23/34.02 thf(zip_derived_cl62, plain, 228.23/34.02 (![X2 : del]: 228.23/34.02 (mem @ (c_2Ebool_2ECOND @ X2) @ 228.23/34.02 (arr @ bool @ (arr @ X2 @ (arr @ X2 @ X2))))), 228.23/34.02 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])). 228.23/34.02 thf(zip_derived_cl85, plain, 228.23/34.02 (![X2 : del, X4 : del, X6 : $i, X8 : $i]: 228.23/34.02 (~ (mem @ X8 @ X2) 228.23/34.02 | (mem @ (ap @ X6 @ X8) @ X4) 228.23/34.02 | ~ (mem @ X6 @ (arr @ X2 @ X4)))), 228.23/34.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl84])). 228.23/34.02 thf(zip_derived_cl9849, plain, ($false), 228.23/34.02 inference('eprover', [status(thm)], 228.23/34.02 [zip_derived_cl42, zip_derived_cl31, zip_derived_cl71, 228.23/34.02 zip_derived_cl73, zip_derived_cl61, zip_derived_cl19, 228.23/34.02 zip_derived_cl9, zip_derived_cl121, zip_derived_cl101, 228.23/34.02 zip_derived_cl91, zip_derived_cl48, zip_derived_cl169, 228.23/34.02 zip_derived_cl47, zip_derived_cl164, zip_derived_cl228, 228.23/34.02 zip_derived_cl222, zip_derived_cl6, zip_derived_cl26, 228.23/34.02 zip_derived_cl58, zip_derived_cl120, zip_derived_cl60, 228.23/34.02 zip_derived_cl168, zip_derived_cl62, zip_derived_cl85])). 228.23/34.02 228.23/34.02 % SZS output end Refutation 228.23/34.02 228.23/34.02 228.23/34.02 % Terminating... 228.23/34.02 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 63.13/34.13 % Runner terminated. 63.13/34.19 % Zipperpin 1.5 exiting 63.13/34.21 EOF