0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W4SVuZlwTV true 0.14/0.35 % Computer : n005.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Jul 13 15:40:33 EDT 2021 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 120 s 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.54/0.67 % Total configuration time : 828 0.54/0.67 % Estimated wc time : 983 0.54/0.67 % Estimated cpu time (8 cpus) : 122.875 0.56/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.56/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.56/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.57/0.87 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 90.96/12.46 % Solved by lams/30_b.l.sh. 90.96/12.46 % running E: timeout 14 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.W4SVuZlwTV/e_input15e7e9 --cpu-limit=12 --auto -s -p 90.96/12.46 % done 172 iterations in 11.436s 90.96/12.46 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 90.96/12.46 % SZS output start Refutation 90.96/12.46 thf(du_type, type, du: $tType). 90.96/12.46 thf(d_type, type, d: $tType). 90.96/12.46 thf(u_type, type, u: $tType). 90.96/12.46 thf(c_2Equotient_2E_2D_2D_3E_2E0_type, type, c_2Equotient_2E_2D_2D_3E_2E0: u). 90.96/12.46 thf('#sk14_type', type, '#sk14': u). 90.96/12.46 thf('#sk10_type', type, '#sk10': u). 90.96/12.46 thf(c_2Equotient_2EQUOTIENT_2E3_type, type, c_2Equotient_2EQUOTIENT_2E3: 90.96/12.46 du > du > du > u). 90.96/12.46 thf(tyop_2Emin_2Ebool_type, type, tyop_2Emin_2Ebool: d). 90.96/12.46 thf(c_2Ecombin_2EW_2E2_type, type, c_2Ecombin_2EW_2E2: du > du > u). 90.96/12.46 thf('#sk8_type', type, '#sk8': u). 90.96/12.46 thf('#sk12_type', type, '#sk12': u). 90.96/12.46 thf(c_2Equotient_2E_2D_2D_3E_2E3_type, type, c_2Equotient_2E_2D_2D_3E_2E3: 90.96/12.46 du > du > du > u). 90.96/12.46 thf(s_type, type, s: d > u > du). 90.96/12.46 thf('#sk13_type', type, '#sk13': u). 90.96/12.46 thf(c_2Equotient_2E_3D_3D_3D_3E_2E2_type, type, c_2Equotient_2E_3D_3D_3D_3E_2E2: 90.96/12.46 du > du > u). 90.96/12.46 thf(app_2E2_type, type, app_2E2: du > du > u). 90.96/12.46 thf(c_2Equotient_2Erespects_2E2_type, type, c_2Equotient_2Erespects_2E2: 90.96/12.46 du > du > u). 90.96/12.46 thf('#sk3_type', type, '#sk3': d). 90.96/12.46 thf('#sk6_type', type, '#sk6': d). 90.96/12.46 thf(j_mono_2Etyop_2Emin_2Ebool_type, type, j_mono_2Etyop_2Emin_2Ebool: 90.96/12.46 du > $o). 90.96/12.46 thf('#sk7_type', type, '#sk7': u). 90.96/12.46 thf(tyop_2Emin_2Efun_type, type, tyop_2Emin_2Efun: d > d > d). 90.96/12.46 thf('#sk5_type', type, '#sk5': d). 90.96/12.46 thf(c_2Equotient_2E_3D_3D_3D_3E_2E4_type, type, c_2Equotient_2E_3D_3D_3D_3E_2E4: 90.96/12.46 du > du > du > du > u). 90.96/12.46 thf('#sk4_type', type, '#sk4': d). 90.96/12.46 thf('#sk9_type', type, '#sk9': u). 90.96/12.46 thf(c_2Equotient_2E_3D_3D_3D_3E_2E0_type, type, c_2Equotient_2E_3D_3D_3D_3E_2E0: 90.96/12.46 u). 90.96/12.46 thf('#sk11_type', type, '#sk11': u). 90.96/12.46 thf(c_2Equotient_2Erespects_2E0_type, type, c_2Equotient_2Erespects_2E0: u). 90.96/12.46 thf(c_2Equotient_2E_2D_2D_3E_2E2_type, type, c_2Equotient_2E_2D_2D_3E_2E2: 90.96/12.46 du > du > u). 90.96/12.46 thf(c_2Ecombin_2EW_2E0_type, type, c_2Ecombin_2EW_2E0: u). 90.96/12.46 thf(thm_2Equotient_2EFUN__REL__EQ__REL, conjecture, 90.96/12.46 (![A_27a:d,A_27b:d,A_27c:d,A_27d:d,V0R1_2E0:u,V1abs1_2E0:u,V2rep1_2E0:u]: 90.96/12.46 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V0R1_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1abs1_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) ) ) ) => 90.96/12.46 ( ![V3R2_2E0:u,V4abs2_2E0:u,V5rep2_2E0:u]: 90.96/12.46 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V3R2_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ V5rep2_2E0 ) ) ) ) => 90.96/12.46 ( ![V6f_2E0:u,V7g_2E0:u]: 90.96/12.46 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27a @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V0R1_2E0 ) @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27b @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V3R2_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) ) <=> 90.96/12.46 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.46 tyop_2Emin_2Ebool ) ) @ 90.96/12.46 ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27a @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V0R1_2E0 ) @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27b @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V3R2_2E0 ) ) ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) ) ) ) & 90.96/12.46 ( ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.46 ( c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) ) ) = 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.46 ( c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) ) & 90.96/12.46 ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.46 tyop_2Emin_2Ebool ) ) @ 90.96/12.46 ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27a @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V0R1_2E0 ) @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27b @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V3R2_2E0 ) ) ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) ) ) ) ) ) ) ))). 90.96/12.46 thf(zf_stmt_0, negated_conjecture, 90.96/12.46 (~( ![A_27a:d,A_27b:d,A_27c:d,A_27d:d,V0R1_2E0:u,V1abs1_2E0:u,V2rep1_2E0:u]: 90.96/12.46 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V0R1_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1abs1_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) ) ) ) => 90.96/12.46 ( ![V3R2_2E0:u,V4abs2_2E0:u,V5rep2_2E0:u]: 90.96/12.46 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27b @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V3R2_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ V5rep2_2E0 ) ) ) ) => 90.96/12.46 ( ![V6f_2E0:u,V7g_2E0:u]: 90.96/12.46 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27a @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V0R1_2E0 ) @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27b @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V3R2_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) ) <=> 90.96/12.46 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.46 tyop_2Emin_2Ebool ) ) @ 90.96/12.46 ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27a @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V0R1_2E0 ) @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27b @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V3R2_2E0 ) ) ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) ) ) ) & 90.96/12.46 ( ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.46 ( c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) ) ) = 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.46 ( c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) ) & 90.96/12.46 ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.46 tyop_2Emin_2Ebool ) ) @ 90.96/12.46 ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27a @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V0R1_2E0 ) @ 90.96/12.46 ( s @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27b @ 90.96/12.46 ( tyop_2Emin_2Efun @ 90.96/12.46 A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.46 V3R2_2E0 ) ) ) @ 90.96/12.46 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) ) ) ) ) ) ) ) )), 90.96/12.46 inference('cnf.neg', [status(esa)], [thm_2Equotient_2EFUN__REL__EQ__REL])). 90.96/12.46 thf(zip_derived_cl16, plain, 90.96/12.46 (~ (((!!) @ (^[Y0 : d]: 90.96/12.46 (((!!) @ (^[Y1 : d]: 90.96/12.46 (((!!) @ (^[Y2 : d]: 90.96/12.46 (((!!) @ (^[Y3 : d]: 90.96/12.46 (((!!) @ (^[Y4 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y5 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y6 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y2) @ 90.96/12.46 Y5) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y2 @ Y0) @ 90.96/12.46 Y6)))) => 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y7 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y8 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y9 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y7) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ Y3) @ 90.96/12.46 Y8) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y3 @ Y1) @ 90.96/12.46 Y9)))) => 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y10 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y11 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y7) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 Y10) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 Y11)))) <=> 90.96/12.46 (( 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y7))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 Y10)))) & 90.96/12.46 ( 90.96/12.46 ( 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y2 @ Y3) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y2 @ Y0) @ 90.96/12.46 Y6) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ Y3) @ 90.96/12.46 Y8) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 Y10))) = 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y2 @ Y3) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y2 @ Y0) @ 90.96/12.46 Y6) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ Y3) @ 90.96/12.46 Y8) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 Y11))))) & 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y7))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 Y11))))))))))))))))))))))))))))))))))))))))))))))))), 90.96/12.46 inference('cnf', [status(esa)], [zf_stmt_0])). 90.96/12.46 thf(zip_derived_cl95, plain, 90.96/12.46 (~ (((!!) @ (^[Y0 : d]: 90.96/12.46 (((!!) @ (^[Y1 : d]: 90.96/12.46 (((!!) @ (^[Y2 : d]: 90.96/12.46 (((!!) @ (^[Y3 : u]: 90.96/12.46 (((!!) @ (^[Y4 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y5 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y1) @ Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y5)))) => 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y6 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y7 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y8 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y6) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y2) @ 90.96/12.46 Y7) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y2 @ Y0) @ 90.96/12.46 Y8)))) => 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y9 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y10 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y6) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ Y9) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ Y10)))) <=> 90.96/12.46 (( 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y6))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ Y9)))) & 90.96/12.46 ( 90.96/12.46 ( 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ Y2) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y5) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y2) @ 90.96/12.46 Y7) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ Y9))) = 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ Y2) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y5) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y2) @ 90.96/12.46 Y7) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ Y10))))) & 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y6))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ Y10)))))))))))))))))))))))))))))))))))))))))))))), 90.96/12.46 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl16])). 90.96/12.46 thf(zip_derived_cl96, plain, 90.96/12.46 (~ (((!!) @ (^[Y0 : d]: 90.96/12.46 (((!!) @ (^[Y1 : d]: 90.96/12.46 (((!!) @ (^[Y2 : u]: 90.96/12.46 (((!!) @ (^[Y3 : u]: 90.96/12.46 (((!!) @ (^[Y4 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y2) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 Y0) @ Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y4)))) => 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y5 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y6 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y7 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y5) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 Y1) @ Y6) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y1 @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y7)))) => 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y8 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y9 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y2) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y5) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y8) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y9)))) <=> 90.96/12.46 (( 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y2) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y5))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y8)))) & 90.96/12.46 ( 90.96/12.46 ( 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 Y1) @ Y6) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y8))) = 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ Y1) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 Y1) @ Y6) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y9))))) & 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y2) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y5))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y9))))))))))))))))))))))))))))))))))))))))))), 90.96/12.46 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl95])). 90.96/12.46 thf(zip_derived_cl97, plain, 90.96/12.46 (~ (((!!) @ (^[Y0 : d]: 90.96/12.46 (((!!) @ (^[Y1 : u]: 90.96/12.46 (((!!) @ (^[Y2 : u]: 90.96/12.46 (((!!) @ (^[Y3 : u]: 90.96/12.46 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 (s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y1) @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ '#sk5') @ 90.96/12.46 Y2) @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ '#sk3') @ 90.96/12.46 Y3)))) => 90.96/12.46 (((!!) @ (^[Y4 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y5 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y6 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 Y0) @ Y5) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 Y0 @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y6)))) => 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y7 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y8 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y1) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y7) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y8)))) <=> 90.96/12.46 (( 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y1) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y4))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y7)))) & 90.96/12.46 ( 90.96/12.46 ( 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 Y0) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 Y0) @ Y5) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y7))) = 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 Y0) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 Y0) @ Y5) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y8))))) & 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y1) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y4))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y8)))))))))))))))))))))))))))))))))))))))), 90.96/12.46 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl96])). 90.96/12.46 thf(zip_derived_cl98, plain, 90.96/12.46 (~ (((!!) @ (^[Y0 : u]: 90.96/12.46 (((!!) @ (^[Y1 : u]: 90.96/12.46 (((!!) @ (^[Y2 : u]: 90.96/12.46 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 (s @ tyop_2Emin_2Ebool @ 90.96/12.46 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.46 Y0) @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.46 '#sk5') @ 90.96/12.46 Y1) @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk5' @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y2)))) => 90.96/12.46 (((!!) @ (^[Y3 : u]: 90.96/12.46 (((!!) @ (^[Y4 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y5 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 '#sk6') @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk6' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y5)))) => 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y6 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y7 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y0) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y6) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y7)))) <=> 90.96/12.46 (( 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y0) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y3))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y6)))) & 90.96/12.46 ( 90.96/12.46 ( 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk6') @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y2) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 '#sk6') @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y6))) = 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk6') @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y2) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 '#sk6') @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y7))))) & 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y0) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y3))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y7))))))))))))))))))))))))))))))))))))), 90.96/12.46 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl97])). 90.96/12.46 thf(zip_derived_cl99, plain, 90.96/12.46 (~ (((!!) @ (^[Y0 : u]: 90.96/12.46 (((!!) @ (^[Y1 : u]: 90.96/12.46 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 (s @ tyop_2Emin_2Ebool @ 90.96/12.46 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk3' @ '#sk5') @ Y0) @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ Y1)))) => 90.96/12.46 (((!!) @ (^[Y2 : u]: 90.96/12.46 (((!!) @ (^[Y3 : u]: 90.96/12.46 (((!!) @ (^[Y4 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y2) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 '#sk6') @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk6' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y4)))) => 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y5 : u]: 90.96/12.46 (( 90.96/12.46 (!!) @ ( 90.96/12.46 ^[Y6 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y2) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y5) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y6)))) <=> 90.96/12.46 (( 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y2))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y5)))) & 90.96/12.46 ( 90.96/12.46 ( 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk6') @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y1) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 '#sk6') @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y5))) = 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk6') @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y1) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 '#sk6') @ 90.96/12.46 Y3) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y6))))) & 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y2))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y6)))))))))))))))))))))))))))))))))), 90.96/12.46 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl98])). 90.96/12.46 thf(zip_derived_cl100, plain, 90.96/12.46 (~ (((!!) @ (^[Y0 : u]: 90.96/12.46 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 (s @ tyop_2Emin_2Ebool @ 90.96/12.46 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk5') @ '#sk8') @ 90.96/12.46 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ Y0)))) => 90.96/12.46 (((!!) @ (^[Y1 : u]: 90.96/12.46 (((!!) @ (^[Y2 : u]: 90.96/12.46 (((!!) @ (^[Y3 : u]: 90.96/12.46 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 (s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y1) @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 '#sk6') @ 90.96/12.46 Y2) @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk6' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y3)))) => 90.96/12.46 (((!!) @ ( 90.96/12.46 ^[Y4 : u]: 90.96/12.46 (((!!) @ ( 90.96/12.46 ^[Y5 : u]: 90.96/12.46 (( 90.96/12.46 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y1) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y4) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y5)))) <=> 90.96/12.46 (( 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y1))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y4)))) & 90.96/12.46 ( 90.96/12.46 ( 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk6') @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y0) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 '#sk6') @ 90.96/12.46 Y2) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y4))) = 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk6') @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk3') @ 90.96/12.46 Y0) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 '#sk6') @ 90.96/12.46 Y2) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y5))))) & 90.96/12.46 ( 90.96/12.46 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y1))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y5))))))))))))))))))))))))))))))), 90.96/12.46 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl99])). 90.96/12.46 thf(zip_derived_cl101, plain, 90.96/12.46 (~ (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 (s @ tyop_2Emin_2Ebool @ 90.96/12.46 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.46 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk5') @ '#sk8') @ 90.96/12.46 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ '#sk9')))) => 90.96/12.46 (((!!) @ (^[Y0 : u]: 90.96/12.46 (((!!) @ (^[Y1 : u]: 90.96/12.46 (((!!) @ (^[Y2 : u]: 90.96/12.46 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 (s @ tyop_2Emin_2Ebool @ 90.96/12.46 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y0) @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ '#sk6') @ 90.96/12.46 Y1) @ 90.96/12.46 (s @ 90.96/12.46 (tyop_2Emin_2Efun @ 90.96/12.46 '#sk6' @ '#sk4') @ 90.96/12.46 Y2)))) => 90.96/12.46 (((!!) @ (^[Y3 : u]: 90.96/12.46 (((!!) @ ( 90.96/12.46 ^[Y4 : u]: 90.96/12.46 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 (s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y0) @ 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y3) @ 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y4)))) <=> 90.96/12.46 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 tyop_2Emin_2Ebool @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2Erespects_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 '#sk7') @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.46 tyop_2Emin_2Ebool)) @ 90.96/12.46 Y0))) @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk3' @ 90.96/12.46 '#sk4') @ 90.96/12.46 Y3)))) & 90.96/12.46 (( 90.96/12.46 (s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk6') @ 90.96/12.46 ( 90.96/12.46 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk5' @ 90.96/12.46 '#sk3') @ 90.96/12.46 '#sk9') @ 90.96/12.46 ( 90.96/12.46 s @ 90.96/12.46 ( 90.96/12.46 tyop_2Emin_2Efun @ 90.96/12.46 '#sk4' @ 90.96/12.47 '#sk6') @ 90.96/12.47 Y1) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y3))) = 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ 90.96/12.47 '#sk6') @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ 90.96/12.47 '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 '#sk6') @ 90.96/12.47 Y1) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y4))))) & 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2Erespects_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y4)))))))))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl100])). 90.96/12.47 thf(zip_derived_cl103, plain, 90.96/12.47 (~ (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 '#sk6') @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk6' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y2)))) => 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 (( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y4)))) <=> 90.96/12.47 (( 90.96/12.47 ( 90.96/12.47 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2Erespects_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y3)))) & 90.96/12.47 ( 90.96/12.47 ( 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ 90.96/12.47 '#sk6') @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ 90.96/12.47 '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 '#sk6') @ 90.96/12.47 Y1) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y3))) = 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ 90.96/12.47 '#sk6') @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ 90.96/12.47 '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 '#sk6') @ 90.96/12.47 Y1) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y4))))) & 90.96/12.47 ( 90.96/12.47 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2Erespects_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y4)))))))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl101])). 90.96/12.47 thf(zip_derived_cl104, plain, 90.96/12.47 (~ (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk6' @ '#sk4') @ Y1)))) => 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y3)))) <=> 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y2)))) & 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ 90.96/12.47 '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ 90.96/12.47 '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 '#sk6') @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y2))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ 90.96/12.47 '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ 90.96/12.47 '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 '#sk6') @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y3))))) & 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 Y3))))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl103])). 90.96/12.47 thf(zip_derived_cl105, plain, 90.96/12.47 (~ (((!!) @ (^[Y0 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk6' @ '#sk4') @ Y0)))) => 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ '#sk4') @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ '#sk4') @ 90.96/12.47 Y2)))) <=> 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ '#sk4') @ 90.96/12.47 Y1)))) & 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ '#sk6') @ 90.96/12.47 '#sk11') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ '#sk4') @ 90.96/12.47 Y1))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk5' @ '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ '#sk6') @ 90.96/12.47 '#sk11') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ '#sk4') @ 90.96/12.47 Y2))))) & 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 '#sk3' @ '#sk4') @ 90.96/12.47 Y2)))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl104])). 90.96/12.47 thf(zip_derived_cl106, plain, 90.96/12.47 (~ (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk6' @ '#sk4') @ '#sk12')))) => 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 Y1)))) <=> 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 Y0)))) & 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ 90.96/12.47 '#sk11') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 Y0))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ 90.96/12.47 '#sk11') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 Y1))))) & 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 Y1))))))))))))))))), 90.96/12.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl105])). 90.96/12.47 thf(zip_derived_cl107, plain, 90.96/12.47 ( (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk6' @ '#sk4') @ '#sk12'))))), 90.96/12.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl106])). 90.96/12.47 thf(zip_derived_cl102, plain, 90.96/12.47 ( (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk5') @ '#sk8') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ '#sk9'))))), 90.96/12.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl101])). 90.96/12.47 thf(arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d, axiom, 90.96/12.47 (![A_27a:d,A_27b:d,A_27c:d,A_27d:d,X0_2E0:u,X1_2E0:u,X2_2E0:u]: 90.96/12.47 ( ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.47 ( c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X0_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) ) = 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) ) ) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X0_2E0 ) ) ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) ) ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) ) ))). 90.96/12.47 thf(zip_derived_cl4, plain, 90.96/12.47 ( (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : d]: 90.96/12.47 (((!!) @ (^[Y3 : d]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 (((!!) @ ( 90.96/12.47 ^[Y5 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y6 : u]: 90.96/12.47 (( 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y3) @ 90.96/12.47 Y5) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 Y6))) = 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3)) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y3) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3))) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y3) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 Y4))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y3) @ 90.96/12.47 Y5))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 Y6))))))))))))))))))))))))))), 90.96/12.47 inference('cnf', [status(esa)], 90.96/12.47 [arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d])). 90.96/12.47 thf(zip_derived_cl81, plain, 90.96/12.47 (![X2 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : d]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 ( 90.96/12.47 ( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y5 : u]: 90.96/12.47 (( 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X2) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 Y5))) = 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2)) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2))) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X2) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X2) @ 90.96/12.47 Y3))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 Y4))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 Y5)))))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 90.96/12.47 thf(zip_derived_cl82, plain, 90.96/12.47 (![X2 : d, X4 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 ( 90.96/12.47 ( 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ X2) @ 90.96/12.47 Y2) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y1) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 Y4))) = 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1))) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ X2) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ X2) @ 90.96/12.47 Y2))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y1) @ 90.96/12.47 Y3))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 Y4))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl81])). 90.96/12.47 thf(zip_derived_cl83, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ Y0) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X2) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y0) @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 Y3))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ Y0) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ Y0)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ Y0))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X2) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ Y0)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X2) @ 90.96/12.47 Y1))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y0) @ 90.96/12.47 Y2))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 Y3)))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl82])). 90.96/12.47 thf(zip_derived_cl84, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X2) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ X8) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 Y2))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ 90.96/12.47 X8))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X2) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X8)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ 90.96/12.47 X2) @ 90.96/12.47 Y0))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ X8) @ 90.96/12.47 Y1))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 Y2))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl83])). 90.96/12.47 thf(zip_derived_cl85, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((s @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ Y0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y1))) = 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X2) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ 90.96/12.47 X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ Y0))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y1)))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl84])). 90.96/12.47 thf(zip_derived_cl86, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((s @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X12) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y0))) = 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X2) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X12))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y0))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])). 90.96/12.47 thf(zip_derived_cl87, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u, X14 : u]: 90.96/12.47 (((s @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X12) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X14))) = 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X2) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X12))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X14)))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl86])). 90.96/12.47 thf(zip_derived_cl88, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u, X14 : u]: 90.96/12.47 ((s @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X12) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X14))) 90.96/12.47 = (s @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X2) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X12))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X14))))), 90.96/12.47 inference('simplify nested equalities', [status(thm)], [zip_derived_cl87])). 90.96/12.47 thf(arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27d_20mono_2EA_27c_20mono_2EA_27b, axiom, 90.96/12.47 (![A_27a:d,A_27b:d,A_27c:d,A_27d:d,X0_2E0:u,X1_2E0:u]: 90.96/12.47 ( ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 ( c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X0_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ X1_2E0 ) ) ) = 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) ) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X0_2E0 ) ) ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ X1_2E0 ) ) ) ))). 90.96/12.47 thf(zip_derived_cl6, plain, 90.96/12.47 ( (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : d]: 90.96/12.47 (((!!) @ (^[Y3 : d]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 (((!!) @ ( 90.96/12.47 ^[Y5 : u]: 90.96/12.47 (( 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y3 @ Y1) @ 90.96/12.47 Y5))) = 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y3 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1))) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y3 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 Y4))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y3 @ Y1) @ 90.96/12.47 Y5)))))))))))))))))))))))), 90.96/12.47 inference('cnf', [status(esa)], 90.96/12.47 [arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27d_20mono_2EA_27c_20mono_2EA_27b])). 90.96/12.47 thf(zip_derived_cl54, plain, 90.96/12.47 (![X2 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : d]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 ( 90.96/12.47 ( 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y1) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 Y4))) = 90.96/12.47 (s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0)) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0))) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y1) @ 90.96/12.47 Y3))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 Y4))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 90.96/12.47 thf(zip_derived_cl55, plain, 90.96/12.47 (![X2 : d, X4 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X4) @ 90.96/12.47 Y3))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 Y2))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X4) @ 90.96/12.47 Y3)))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl54])). 90.96/12.47 thf(zip_derived_cl56, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X6) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ X4) @ 90.96/12.47 Y2))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 X6) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ 90.96/12.47 X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X6) @ 90.96/12.47 Y1))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ X4) @ 90.96/12.47 Y2))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl55])). 90.96/12.47 thf(zip_derived_cl57, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ Y0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ Y1))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X8 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X6) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X8 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ Y0))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ Y1)))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])). 90.96/12.47 thf(zip_derived_cl58, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ Y0))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X6) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X8 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ Y0))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])). 90.96/12.47 thf(zip_derived_cl59, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ X12))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X6) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ X12)))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl58])). 90.96/12.47 thf(zip_derived_cl60, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u]: 90.96/12.47 ((s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ X12))) 90.96/12.47 = (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X6) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)))) @ 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ X12))))), 90.96/12.47 inference('simplify nested equalities', [status(thm)], [zip_derived_cl59])). 90.96/12.47 thf(zip_derived_cl89, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u, X14 : u]: 90.96/12.47 ((s @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X12) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X14))) 90.96/12.47 = (s @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X8)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X12))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X14))))), 90.96/12.47 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl60])). 90.96/12.47 thf(thm_2Ecombin_2EW__THM, axiom, 90.96/12.47 (![A_27a:d,A_27b:d,V0f_2E0:u,V1x_2E0:u]: 90.96/12.47 ( ( s @ 90.96/12.47 A_27b @ 90.96/12.47 ( c_2Ecombin_2EW_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 V0f_2E0 ) @ 90.96/12.47 ( s @ A_27a @ V1x_2E0 ) ) ) = 90.96/12.47 ( s @ 90.96/12.47 A_27b @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 V0f_2E0 ) @ 90.96/12.47 ( s @ A_27a @ V1x_2E0 ) ) ) @ 90.96/12.47 ( s @ A_27a @ V1x_2E0 ) ) ) ))). 90.96/12.47 thf(zip_derived_cl11, plain, 90.96/12.47 ( (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((s @ Y1 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ Y0 @ Y3))) = 90.96/12.47 (s @ Y1 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ Y0 @ Y3))) @ 90.96/12.47 (s @ Y0 @ Y3)))))))))))))))))), 90.96/12.47 inference('cnf', [status(esa)], [thm_2Ecombin_2EW__THM])). 90.96/12.47 thf(zip_derived_cl20, plain, 90.96/12.47 (![X2 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((s @ Y0 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0)) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ X2 @ Y2))) = 90.96/12.47 (s @ Y0 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 Y0)) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ X2 @ Y2))) @ 90.96/12.47 (s @ X2 @ Y2))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 90.96/12.47 thf(zip_derived_cl21, plain, 90.96/12.47 (![X2 : d, X4 : d]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((s @ X4 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ X2 @ Y1))) = 90.96/12.47 (s @ X4 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ X2 @ Y1))) @ 90.96/12.47 (s @ X2 @ Y1)))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 90.96/12.47 thf(zip_derived_cl22, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((s @ X4 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ X2 @ Y0))) = 90.96/12.47 (s @ X4 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ X2 @ Y0))) @ 90.96/12.47 (s @ X2 @ Y0))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 90.96/12.47 thf(zip_derived_cl23, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 (((s @ X4 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ X6) @ 90.96/12.47 (s @ X2 @ X8))) = 90.96/12.47 (s @ X4 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ X6) @ 90.96/12.47 (s @ X2 @ X8))) @ 90.96/12.47 (s @ X2 @ X8)))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 90.96/12.47 thf(zip_derived_cl24, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 ((s @ X4 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ X6) @ 90.96/12.47 (s @ X2 @ X8))) 90.96/12.47 = (s @ X4 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ X2 @ X8))) @ 90.96/12.47 (s @ X2 @ X8))))), 90.96/12.47 inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])). 90.96/12.47 thf(arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b, axiom, 90.96/12.47 (![A_27a:d,A_27b:d,X0_2E0:u,X1_2E0:u,X2_2E0:u,X3_2E0:u]: 90.96/12.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 X0_2E0 ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 X1_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X3_2E0 ) ) ) ) = 90.96/12.47 ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27b @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 tyop_2Emin_2Ebool ) ) ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27b @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 tyop_2Emin_2Ebool ) ) ) ) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 X0_2E0 ) ) ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27b @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 X1_2E0 ) ) ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X3_2E0 ) ) ) ) ))). 90.96/12.47 thf(zip_derived_cl7, plain, 90.96/12.47 ( (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 (((!!) @ ( 90.96/12.47 ^[Y5 : u]: 90.96/12.47 (( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 Y5)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y3))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 Y4))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 Y5))))))))))))))))))))))))), 90.96/12.47 inference('cnf', [status(esa)], 90.96/12.47 [arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b])). 90.96/12.47 thf(zip_derived_cl113, plain, 90.96/12.47 (![X2 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 ( 90.96/12.47 ( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 Y4)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 ( 90.96/12.47 app_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 Y3))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 Y4)))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 90.96/12.47 thf(zip_derived_cl114, plain, 90.96/12.47 (![X2 : d, X4 : d]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 Y3)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 Y2))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 Y3))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl113])). 90.96/12.47 thf(zip_derived_cl115, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 Y2)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 X4) @ 90.96/12.47 Y1))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 Y2)))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl114])). 90.96/12.47 thf(zip_derived_cl116, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X8) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y1)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X8))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y0))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y1))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl115])). 90.96/12.47 thf(zip_derived_cl117, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y0)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y0)))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl116])). 90.96/12.47 thf(zip_derived_cl118, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u, X12 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X12)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X12))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl117])). 90.96/12.47 thf(zip_derived_cl119, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u, X12 : u]: 90.96/12.47 ((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X12)))) 90.96/12.47 = (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X12)))))), 90.96/12.47 inference('simplify nested equalities', [status(thm)], 90.96/12.47 [zip_derived_cl118])). 90.96/12.47 thf(arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b, axiom, 90.96/12.47 (![A_27a:d,A_27b:d,X0_2E0:u,X1_2E0:u]: 90.96/12.47 ( ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 X0_2E0 ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 X1_2E0 ) ) ) = 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 tyop_2Emin_2Ebool ) ) ) ) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 X0_2E0 ) ) ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 X1_2E0 ) ) ) ))). 90.96/12.47 thf(zip_derived_cl2, plain, 90.96/12.47 ( (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y3))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y3)))))))))))))))))), 90.96/12.47 inference('cnf', [status(esa)], 90.96/12.47 [arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b])). 90.96/12.47 thf(zip_derived_cl90, plain, 90.96/12.47 (![X2 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 Y0) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 90.96/12.47 thf(zip_derived_cl91, plain, 90.96/12.47 (![X2 : d, X4 : d]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1)))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl90])). 90.96/12.47 thf(zip_derived_cl92, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl91])). 90.96/12.47 thf(zip_derived_cl93, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8)))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl92])). 90.96/12.47 thf(zip_derived_cl94, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 ((s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8))) 90.96/12.47 = (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool))) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)))) @ 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8))))), 90.96/12.47 inference('simplify nested equalities', [status(thm)], [zip_derived_cl93])). 90.96/12.47 thf(zip_derived_cl120, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u, X12 : u]: 90.96/12.47 ((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X12)))) 90.96/12.47 = (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X12)))))), 90.96/12.47 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl94])). 90.96/12.47 thf(zip_derived_cl717, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u, X12 : u]: 90.96/12.47 (~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X12)))) 90.96/12.47 | (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X8))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X12)))))), 90.96/12.47 inference('eq_elim', [status(thm)], [zip_derived_cl120])). 90.96/12.47 thf(zip_derived_cl1241, plain, 90.96/12.47 (![X0 : u, X1 : d, X2 : d, X3 : u, X4 : u]: 90.96/12.47 ( (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X1) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X1) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X4) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X1 @ 90.96/12.47 (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X3))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X0)))) 90.96/12.47 | ~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X4) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X1 @ 90.96/12.47 (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X3) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X0)))))), 90.96/12.47 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl717])). 90.96/12.47 thf(zip_derived_cl108, plain, 90.96/12.47 (~ (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ Y1)))) <=> 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 Y0)))) & 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ 90.96/12.47 '#sk11') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 Y0))) = 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ 90.96/12.47 '#sk9') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ 90.96/12.47 '#sk11') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 Y1))))) & 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 Y1))))))))))))))), 90.96/12.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl106])). 90.96/12.47 thf(zip_derived_cl109, plain, 90.96/12.47 (~ (((!!) @ (^[Y0 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ Y0)))) <=> 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13')))) & 90.96/12.47 (((s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ '#sk9') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13'))) = 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ '#sk9') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ Y0))))) & 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ Y0)))))))))))), 90.96/12.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl108])). 90.96/12.47 thf(zip_derived_cl110, plain, 90.96/12.47 (~ (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk14')))) <=> 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13')))) & 90.96/12.47 (((s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ '#sk9') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13'))) = 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ '#sk9') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk14'))))) & 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk14'))))))))), 90.96/12.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl109])). 90.96/12.47 thf(zip_derived_cl111, plain, 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk14')))) 90.96/12.47 != (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13')))) & 90.96/12.47 (((s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ '#sk9') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13'))) = 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ '#sk9') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk14'))))) & 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk14')))))))), 90.96/12.47 inference('simplify nested equalities', [status(thm)], 90.96/12.47 [zip_derived_cl110])). 90.96/12.47 thf(arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool, axiom, 90.96/12.47 (![A_27a:d,A_27b:d,X0_2E0:u,X1_2E0:u]: 90.96/12.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( c_2Equotient_2Erespects_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 X0_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) ) = 90.96/12.47 ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 c_2Equotient_2Erespects_2E0 ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 X0_2E0 ) ) ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) ) ))). 90.96/12.47 thf(zip_derived_cl15, plain, 90.96/12.47 ( (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 Y3)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 c_2Equotient_2Erespects_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 Y3))))))))))))))))))), 90.96/12.47 inference('cnf', [status(esa)], 90.96/12.47 [arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool])). 90.96/12.47 thf(zip_derived_cl38, plain, 90.96/12.47 (![X2 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 Y0) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 Y2)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 c_2Equotient_2Erespects_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 Y0) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 Y2)))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 90.96/12.47 thf(zip_derived_cl39, plain, 90.96/12.47 (![X2 : d, X4 : d]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y1)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 c_2Equotient_2Erespects_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y1))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl38])). 90.96/12.47 thf(zip_derived_cl40, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y0)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ tyop_2Emin_2Ebool)) @ 90.96/12.47 c_2Equotient_2Erespects_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4) @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y0)))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl39])). 90.96/12.47 thf(zip_derived_cl41, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8)))) = 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 c_2Equotient_2Erespects_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl40])). 90.96/12.47 thf(zip_derived_cl42, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 ((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8)))) 90.96/12.47 = (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 c_2Equotient_2Erespects_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8)))))), 90.96/12.47 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 90.96/12.47 thf(thm_2Equotient_2Erespects__def, axiom, 90.96/12.47 (![A_27a:d,A_27b:d]: 90.96/12.47 ( ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 c_2Equotient_2Erespects_2E0 ) = 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 c_2Ecombin_2EW_2E0 ) ))). 90.96/12.47 thf(zip_derived_cl13, plain, 90.96/12.47 ( (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ Y1)) @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ Y1)) @ 90.96/12.47 c_2Equotient_2Erespects_2E0) = (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ Y1)) @ 90.96/12.47 (tyop_2Emin_2Efun @ Y0 @ Y1)) @ 90.96/12.47 c_2Ecombin_2EW_2E0)))))))))), 90.96/12.47 inference('cnf', [status(esa)], [thm_2Equotient_2Erespects__def])). 90.96/12.47 thf(zip_derived_cl17, plain, 90.96/12.47 (![X2 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ Y0)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0)) @ 90.96/12.47 c_2Equotient_2Erespects_2E0) = (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ Y0)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0)) @ 90.96/12.47 c_2Ecombin_2EW_2E0))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 90.96/12.47 thf(zip_derived_cl18, plain, 90.96/12.47 (![X2 : d, X4 : d]: 90.96/12.47 (((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 c_2Equotient_2Erespects_2E0) = (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 c_2Ecombin_2EW_2E0)))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 90.96/12.47 thf(zip_derived_cl19, plain, 90.96/12.47 (![X2 : d, X4 : d]: 90.96/12.47 ((s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 c_2Equotient_2Erespects_2E0) 90.96/12.47 = (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 c_2Ecombin_2EW_2E0))), 90.96/12.47 inference('simplify nested equalities', [status(thm)], [zip_derived_cl18])). 90.96/12.47 thf(arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b, axiom, 90.96/12.47 (![A_27a:d,A_27b:d,X0_2E0:u,X1_2E0:u]: 90.96/12.47 ( ( s @ 90.96/12.47 A_27b @ 90.96/12.47 ( c_2Ecombin_2EW_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 X0_2E0 ) @ 90.96/12.47 ( s @ A_27a @ X1_2E0 ) ) ) = 90.96/12.47 ( s @ 90.96/12.47 A_27b @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( app_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 c_2Ecombin_2EW_2E0 ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 X0_2E0 ) ) ) @ 90.96/12.47 ( s @ A_27a @ X1_2E0 ) ) ) ))). 90.96/12.47 thf(zip_derived_cl14, plain, 90.96/12.47 ( (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((s @ Y1 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ Y0 @ Y3))) = 90.96/12.47 (s @ Y1 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 c_2Ecombin_2EW_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 Y2))) @ 90.96/12.47 (s @ Y0 @ Y3)))))))))))))))))), 90.96/12.47 inference('cnf', [status(esa)], 90.96/12.47 [arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b])). 90.96/12.47 thf(zip_derived_cl33, plain, 90.96/12.47 (![X2 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((s @ Y0 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0)) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ X2 @ Y2))) = 90.96/12.47 (s @ Y0 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ Y0) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 Y0)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 Y0)) @ 90.96/12.47 c_2Ecombin_2EW_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 Y0)) @ 90.96/12.47 Y1))) @ 90.96/12.47 (s @ X2 @ Y2))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 90.96/12.47 thf(zip_derived_cl34, plain, 90.96/12.47 (![X2 : d, X4 : d]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((s @ X4 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ X2 @ Y1))) = 90.96/12.47 (s @ X4 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 c_2Ecombin_2EW_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 Y0))) @ 90.96/12.47 (s @ X2 @ Y1)))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])). 90.96/12.47 thf(zip_derived_cl35, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((s @ X4 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ X2 @ Y0))) = 90.96/12.47 (s @ X4 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 c_2Ecombin_2EW_2E0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ X2 @ Y0))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])). 90.96/12.47 thf(zip_derived_cl36, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 (((s @ X4 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ X6) @ 90.96/12.47 (s @ X2 @ X8))) = 90.96/12.47 (s @ X4 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 c_2Ecombin_2EW_2E0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ X6))) @ 90.96/12.47 (s @ X2 @ X8)))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 90.96/12.47 thf(zip_derived_cl37, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 ((s @ X4 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ X6) @ 90.96/12.47 (s @ X2 @ X8))) 90.96/12.47 = (s @ X4 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 c_2Ecombin_2EW_2E0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 X6))) @ 90.96/12.47 (s @ X2 @ X8))))), 90.96/12.47 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 90.96/12.47 thf(zip_derived_cl43, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 ((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8)))) 90.96/12.47 = (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8)))))), 90.96/12.47 inference('demod', [status(thm)], 90.96/12.47 [zip_derived_cl42, zip_derived_cl19, zip_derived_cl37])). 90.96/12.47 thf(zip_derived_cl43, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 ((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2Erespects_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8)))) 90.96/12.47 = (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8)))))), 90.96/12.47 inference('demod', [status(thm)], 90.96/12.47 [zip_derived_cl42, zip_derived_cl19, zip_derived_cl37])). 90.96/12.47 thf(zip_derived_cl112, plain, 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk14')))) 90.96/12.47 != (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13')))) & 90.96/12.47 (((s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ '#sk9') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk13'))) = 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk6') @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E3 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk5' @ '#sk3') @ '#sk9') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk4' @ '#sk6') @ '#sk11') @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk14'))))) & 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk3' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk7') @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ 90.96/12.47 (tyop_2Emin_2Efun @ '#sk4' @ tyop_2Emin_2Ebool)) @ 90.96/12.47 '#sk10'))) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ '#sk3' @ '#sk4') @ '#sk14')))))))), 90.96/12.47 inference('demod', [status(thm)], 90.96/12.47 [zip_derived_cl111, zip_derived_cl43, zip_derived_cl43])). 90.96/12.47 thf(zip_derived_cl24, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.47 ((s @ X4 @ 90.96/12.47 (c_2Ecombin_2EW_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ X6) @ 90.96/12.47 (s @ X2 @ X8))) 90.96/12.47 = (s @ X4 @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.47 (app_2E2 @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.47 X6) @ 90.96/12.47 (s @ X2 @ X8))) @ 90.96/12.47 (s @ X2 @ X8))))), 90.96/12.47 inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])). 90.96/12.47 thf(thm_2Equotient_2EFUN__QUOTIENT, axiom, 90.96/12.47 (![A_27a:d,A_27b:d,A_27c:d,A_27d:d,V0R1_2E0:u,V1abs1_2E0:u,V2rep1_2E0:u]: 90.96/12.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 V0R1_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1abs1_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) ) ) ) => 90.96/12.47 ( ![V3R2_2E0:u,V4abs2_2E0:u,V5rep2_2E0:u]: 90.96/12.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 V3R2_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ V5rep2_2E0 ) ) ) ) => 90.96/12.47 ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27a @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 V0R1_2E0 ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 A_27b @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 90.96/12.47 V3R2_2E0 ) ) ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ 90.96/12.47 ( c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) ) ) @ 90.96/12.47 ( s @ 90.96/12.47 ( tyop_2Emin_2Efun @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ 90.96/12.47 ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ 90.96/12.47 ( c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1abs1_2E0 ) @ 90.96/12.47 ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ V5rep2_2E0 ) ) ) ) ) ) ) ) ))). 90.96/12.47 thf(zip_derived_cl1, plain, 90.96/12.47 ( (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : d]: 90.96/12.47 (((!!) @ (^[Y3 : d]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 (((!!) @ ( 90.96/12.47 ^[Y5 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y6 : u]: 90.96/12.47 (( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 Y5) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 Y6)))) => 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y7 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y8 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y9 : u]: 90.96/12.47 (( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y7) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y3) @ 90.96/12.47 Y8) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y3 @ Y1) @ 90.96/12.47 Y9)))) => 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y7))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 Y6) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y3) @ 90.96/12.47 Y8))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y3) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 Y5) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y3 @ Y1) @ 90.96/12.47 Y9))))))))))))))))))))))))))))))))))))))))), 90.96/12.47 inference('cnf', [status(esa)], [thm_2Equotient_2EFUN__QUOTIENT])). 90.96/12.47 thf(zip_derived_cl69, plain, 90.96/12.47 (![X2 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : d]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 ( 90.96/12.47 ( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y5 : u]: 90.96/12.47 (( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y1) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X2) @ 90.96/12.47 Y5)))) => 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y6 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y7 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y8 : u]: 90.96/12.47 (( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y6) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 Y7) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 Y8)))) => 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y6))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X2) @ 90.96/12.47 Y5) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y2) @ 90.96/12.47 Y7))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ Y2) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y1) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y2 @ Y0) @ 90.96/12.47 Y8)))))))))))))))))))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 90.96/12.47 thf(zip_derived_cl70, plain, 90.96/12.47 (![X2 : d, X4 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : d]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 ( 90.96/12.47 ( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ X2) @ 90.96/12.47 Y4)))) => 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y5 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y6 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y7 : u]: 90.96/12.47 (( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y5) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y1) @ 90.96/12.47 Y6) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X4) @ 90.96/12.47 Y7)))) => 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y5))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ X2) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y1) @ 90.96/12.47 Y6))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ Y1) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ Y0) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y1 @ X4) @ 90.96/12.47 Y7))))))))))))))))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl69])). 90.96/12.47 thf(zip_derived_cl71, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d]: 90.96/12.47 (((!!) @ (^[Y0 : d]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X6) @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X2) @ 90.96/12.47 Y3)))) => 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y5 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y6 : u]: 90.96/12.47 (( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y0) @ 90.96/12.47 Y5) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ X4) @ 90.96/12.47 Y6)))) => 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y4))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X6 @ Y0)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X2) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ Y0) @ 90.96/12.47 Y5))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X6 @ Y0) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X6) @ 90.96/12.47 Y2) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 Y0 @ X4) @ 90.96/12.47 Y6)))))))))))))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl70])). 90.96/12.47 thf(zip_derived_cl72, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ X6) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ X2) @ 90.96/12.47 Y2)))) => 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 (( 90.96/12.47 (!!) @ ( 90.96/12.47 ^[Y5 : u]: 90.96/12.47 (( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ X8) @ 90.96/12.47 Y4) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X8 @ X4) @ 90.96/12.47 Y5)))) => 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y3))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X8)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X2) @ 90.96/12.47 Y2) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ X8) @ 90.96/12.47 Y4))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X8) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X6) @ 90.96/12.47 Y1) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X8 @ X4) @ 90.96/12.47 Y5))))))))))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])). 90.96/12.47 thf(zip_derived_cl73, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ Y0) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ Y1)))) => 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((!!) @ (^[Y4 : u]: 90.96/12.47 (( 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ X8) @ 90.96/12.47 Y3) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X8 @ X4) @ 90.96/12.47 Y4)))) => 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X10) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y2))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X8)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X2) @ 90.96/12.47 Y1) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X4 @ X8) @ 90.96/12.47 Y3))) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X8) @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4)) @ 90.96/12.47 ( 90.96/12.47 c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X6) @ 90.96/12.47 Y0) @ 90.96/12.47 ( 90.96/12.47 s @ 90.96/12.47 ( 90.96/12.47 tyop_2Emin_2Efun @ 90.96/12.47 X8 @ X4) @ 90.96/12.47 Y4)))))))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl72])). 90.96/12.47 thf(zip_derived_cl74, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u]: 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X12) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ Y0)))) => 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((!!) @ (^[Y3 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ X8) @ 90.96/12.47 Y2) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X8 @ X4) @ 90.96/12.47 Y3)))) => 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ 90.96/12.47 tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 X10) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y1))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X8)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X2) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ X8) @ 90.96/12.47 Y2))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X6) @ 90.96/12.47 X12) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X8 @ X4) @ 90.96/12.47 Y3))))))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl73])). 90.96/12.47 thf(zip_derived_cl75, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u, X14 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X12) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X14)))) => 90.96/12.47 (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 X8) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X8 @ 90.96/12.47 X4) @ 90.96/12.47 Y2)))) => 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X4) @ 90.96/12.47 tyop_2Emin_2Ebool)) @ 90.96/12.47 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X10) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 X4) @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ 90.96/12.47 X8)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X6 @ X2) @ 90.96/12.47 X14) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ X8) @ 90.96/12.47 Y1))) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 (tyop_2Emin_2Efun @ X6 @ 90.96/12.47 X8) @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 X4)) @ 90.96/12.47 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X2 @ X6) @ 90.96/12.47 X12) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X8 @ X4) @ 90.96/12.47 Y2)))))))))))))))))))), 90.96/12.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl74])). 90.96/12.47 thf(zip_derived_cl76, plain, 90.96/12.47 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u, X14 : u]: 90.96/12.47 (~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ 90.96/12.47 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 X10) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X12) @ 90.96/12.47 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X14)))) 90.96/12.47 | (((!!) @ (^[Y0 : u]: 90.96/12.47 (((!!) @ (^[Y1 : u]: 90.96/12.47 (((!!) @ (^[Y2 : u]: 90.96/12.47 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.47 (s @ tyop_2Emin_2Ebool @ 90.96/12.47 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 (tyop_2Emin_2Efun @ 90.96/12.47 X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.47 Y0) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X4 @ 90.96/12.47 X8) @ 90.96/12.47 Y1) @ 90.96/12.47 (s @ 90.96/12.47 (tyop_2Emin_2Efun @ X8 @ 90.96/12.47 X4) @ 90.96/12.47 Y2)))) => 90.96/12.47 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X4) @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X10) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X4 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y0))) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X6 @ X8)) @ 90.96/12.48 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X6 @ X2) @ 90.96/12.48 X14) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X4 @ X8) @ 90.96/12.48 Y1))) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X6 @ X8) @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X4)) @ 90.96/12.48 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X6) @ 90.96/12.48 X12) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X8 @ X4) @ 90.96/12.48 Y2))))))))))))))))))), 90.96/12.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl75])). 90.96/12.48 thf(zip_derived_cl77, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u, X14 : u, X16 : u]: 90.96/12.48 ( (((!!) @ (^[Y0 : u]: 90.96/12.48 (((!!) @ (^[Y1 : u]: 90.96/12.48 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X16) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ Y0) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ Y1)))) => 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X10) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X16))) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ X6 @ X8)) @ 90.96/12.48 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ 90.96/12.48 X14) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ Y0))) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.48 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ 90.96/12.48 X12) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ Y1)))))))))))))) 90.96/12.48 | ~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X10) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X12) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X14)))))), 90.96/12.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl76])). 90.96/12.48 thf(zip_derived_cl78, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u, X14 : u, X16 : u, 90.96/12.48 X18 : u]: 90.96/12.48 ( (((!!) @ (^[Y0 : u]: 90.96/12.48 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X16) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X18) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ Y0)))) => 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4) @ tyop_2Emin_2Ebool)) @ 90.96/12.48 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X10) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X16))) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ X6 @ X8)) @ 90.96/12.48 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X14) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X18))) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.48 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X12) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ Y0))))))))))) 90.96/12.48 | ~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X10) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X12) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X14)))))), 90.96/12.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl77])). 90.96/12.48 thf(zip_derived_cl79, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u, X14 : u, X16 : u, 90.96/12.48 X18 : u, X20 : u]: 90.96/12.48 ( (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X16) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X18) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ X20)))) => 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X10) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X16))) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ X6 @ X8)) @ 90.96/12.48 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X14) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X18))) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.48 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X12) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ X20)))))))) 90.96/12.48 | ~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X10) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X12) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X14)))))), 90.96/12.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl78])). 90.96/12.48 thf(zip_derived_cl80, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : d, X8 : d, X10 : u, X12 : u, X14 : u, X16 : u, 90.96/12.48 X18 : u, X20 : u]: 90.96/12.48 (~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X16) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X18) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ X20)))) 90.96/12.48 | (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X10) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X16))) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ X6 @ X8)) @ 90.96/12.48 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X14) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X8) @ X18))) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X8) @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.48 (c_2Equotient_2E_2D_2D_3E_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X12) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X8 @ X4) @ X20)))))) 90.96/12.48 | ~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X10) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X6) @ X12) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X6 @ X2) @ X14)))))), 90.96/12.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])). 90.96/12.48 thf(zip_derived_cl120, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u, X12 : u]: 90.96/12.48 ((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X8) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X12)))) 90.96/12.48 = (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X8))) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X10))) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X12)))))), 90.96/12.48 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl94])). 90.96/12.48 thf(thm_2Equotient_2EQUOTIENT__REL, axiom, 90.96/12.48 (![A_27a:d,A_27b:d,V0R_2E0:u,V1abs_2E0:u,V2rep_2E0:u]: 90.96/12.48 ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 ( s @ 90.96/12.48 ( tyop_2Emin_2Efun @ 90.96/12.48 A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.48 V0R_2E0 ) @ 90.96/12.48 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1abs_2E0 ) @ 90.96/12.48 ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V2rep_2E0 ) ) ) ) => 90.96/12.48 ( ![V3r_2E0:u,V4s_2E0:u]: 90.96/12.48 ( ( ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( app_2E2 @ 90.96/12.48 ( s @ 90.96/12.48 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ 90.96/12.48 ( app_2E2 @ 90.96/12.48 ( s @ 90.96/12.48 ( tyop_2Emin_2Efun @ 90.96/12.48 A_27a @ 90.96/12.48 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.48 V0R_2E0 ) @ 90.96/12.48 ( s @ A_27a @ V4s_2E0 ) ) ) @ 90.96/12.48 ( s @ A_27a @ V4s_2E0 ) ) ) ) & 90.96/12.48 ( ( s @ 90.96/12.48 A_27b @ 90.96/12.48 ( app_2E2 @ 90.96/12.48 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1abs_2E0 ) @ 90.96/12.48 ( s @ A_27a @ V3r_2E0 ) ) ) = 90.96/12.48 ( s @ 90.96/12.48 A_27b @ 90.96/12.48 ( app_2E2 @ 90.96/12.48 ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1abs_2E0 ) @ 90.96/12.48 ( s @ A_27a @ V4s_2E0 ) ) ) ) & 90.96/12.48 ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( app_2E2 @ 90.96/12.48 ( s @ 90.96/12.48 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ 90.96/12.48 ( app_2E2 @ 90.96/12.48 ( s @ 90.96/12.48 ( tyop_2Emin_2Efun @ 90.96/12.48 A_27a @ 90.96/12.48 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.48 V0R_2E0 ) @ 90.96/12.48 ( s @ A_27a @ V3r_2E0 ) ) ) @ 90.96/12.48 ( s @ A_27a @ V3r_2E0 ) ) ) ) ) <=> 90.96/12.48 ( j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( app_2E2 @ 90.96/12.48 ( s @ 90.96/12.48 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ 90.96/12.48 ( app_2E2 @ 90.96/12.48 ( s @ 90.96/12.48 ( tyop_2Emin_2Efun @ 90.96/12.48 A_27a @ 90.96/12.48 ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 90.96/12.48 V0R_2E0 ) @ 90.96/12.48 ( s @ A_27a @ V3r_2E0 ) ) ) @ 90.96/12.48 ( s @ A_27a @ V4s_2E0 ) ) ) ) ) ) ))). 90.96/12.48 thf(zip_derived_cl10, plain, 90.96/12.48 ( (((!!) @ (^[Y0 : d]: 90.96/12.48 (((!!) @ (^[Y1 : d]: 90.96/12.48 (((!!) @ (^[Y2 : u]: 90.96/12.48 (((!!) @ (^[Y3 : u]: 90.96/12.48 (((!!) @ (^[Y4 : u]: 90.96/12.48 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y2) @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ Y1) @ 90.96/12.48 Y3) @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y1 @ Y0) @ 90.96/12.48 Y4)))) => 90.96/12.48 (( 90.96/12.48 (!!) @ ( 90.96/12.48 ^[Y5 : u]: 90.96/12.48 (( 90.96/12.48 (!!) @ ( 90.96/12.48 ^[Y6 : u]: 90.96/12.48 (( 90.96/12.48 (( 90.96/12.48 ( 90.96/12.48 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y2) @ 90.96/12.48 ( 90.96/12.48 s @ Y0 @ 90.96/12.48 Y6))) @ 90.96/12.48 ( 90.96/12.48 s @ Y0 @ 90.96/12.48 Y6)))) & 90.96/12.48 ( 90.96/12.48 ( 90.96/12.48 (s @ 90.96/12.48 Y1 @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ Y1) @ 90.96/12.48 Y3) @ 90.96/12.48 ( 90.96/12.48 s @ Y0 @ 90.96/12.48 Y5))) = 90.96/12.48 (s @ 90.96/12.48 Y1 @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ Y1) @ 90.96/12.48 Y3) @ 90.96/12.48 ( 90.96/12.48 s @ Y0 @ 90.96/12.48 Y6))))) & 90.96/12.48 ( 90.96/12.48 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y2) @ 90.96/12.48 ( 90.96/12.48 s @ Y0 @ 90.96/12.48 Y5))) @ 90.96/12.48 ( 90.96/12.48 s @ Y0 @ 90.96/12.48 Y5)))))) <=> 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y2) @ 90.96/12.48 ( 90.96/12.48 s @ Y0 @ 90.96/12.48 Y5))) @ 90.96/12.48 ( 90.96/12.48 s @ Y0 @ 90.96/12.48 Y6)))))))))))))))))))))))))))))), 90.96/12.48 inference('cnf', [status(esa)], [thm_2Equotient_2EQUOTIENT__REL])). 90.96/12.48 thf(zip_derived_cl121, plain, 90.96/12.48 (![X2 : d]: 90.96/12.48 (((!!) @ (^[Y0 : d]: 90.96/12.48 (((!!) @ (^[Y1 : u]: 90.96/12.48 (((!!) @ (^[Y2 : u]: 90.96/12.48 (((!!) @ (^[Y3 : u]: 90.96/12.48 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y1) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ Y0) @ 90.96/12.48 Y2) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 Y0 @ X2) @ 90.96/12.48 Y3)))) => 90.96/12.48 (((!!) @ (^[Y4 : u]: 90.96/12.48 (( 90.96/12.48 (!!) @ ( 90.96/12.48 ^[Y5 : u]: 90.96/12.48 (( 90.96/12.48 (( 90.96/12.48 ( 90.96/12.48 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y1) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y5))) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y5)))) & 90.96/12.48 ( 90.96/12.48 ( 90.96/12.48 (s @ 90.96/12.48 Y0 @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ Y0) @ 90.96/12.48 Y2) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y4))) = 90.96/12.48 (s @ 90.96/12.48 Y0 @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ Y0) @ 90.96/12.48 Y2) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y5))))) & 90.96/12.48 ( 90.96/12.48 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y1) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y4))) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y4)))))) <=> 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y1) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y4))) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y5))))))))))))))))))))))))))), 90.96/12.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 90.96/12.48 thf(zip_derived_cl122, plain, 90.96/12.48 (![X2 : d, X4 : d]: 90.96/12.48 (((!!) @ (^[Y0 : u]: 90.96/12.48 (((!!) @ (^[Y1 : u]: 90.96/12.48 (((!!) @ (^[Y2 : u]: 90.96/12.48 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y0) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 Y1) @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X4 @ X2) @ 90.96/12.48 Y2)))) => 90.96/12.48 (((!!) @ (^[Y3 : u]: 90.96/12.48 (((!!) @ (^[Y4 : u]: 90.96/12.48 (( 90.96/12.48 (( 90.96/12.48 ( 90.96/12.48 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y0) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y4))) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y4)))) & 90.96/12.48 ( 90.96/12.48 ( 90.96/12.48 (s @ 90.96/12.48 X4 @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X4) @ 90.96/12.48 Y1) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y3))) = 90.96/12.48 (s @ 90.96/12.48 X4 @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X4) @ 90.96/12.48 Y1) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y4))))) & 90.96/12.48 ( 90.96/12.48 j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y0) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y3))) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y3)))))) <=> 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 ( 90.96/12.48 app_2E2 @ 90.96/12.48 ( 90.96/12.48 s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 Y0) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y3))) @ 90.96/12.48 ( 90.96/12.48 s @ X2 @ 90.96/12.48 Y4)))))))))))))))))))))))), 90.96/12.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl121])). 90.96/12.48 thf(zip_derived_cl123, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u]: 90.96/12.48 (((!!) @ (^[Y0 : u]: 90.96/12.48 (((!!) @ (^[Y1 : u]: 90.96/12.48 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ Y0) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ Y1)))) => 90.96/12.48 (((!!) @ (^[Y2 : u]: 90.96/12.48 (((!!) @ (^[Y3 : u]: 90.96/12.48 (((((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ 90.96/12.48 Y3))) @ 90.96/12.48 (s @ X2 @ Y3)))) & 90.96/12.48 (((s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X4) @ 90.96/12.48 Y0) @ 90.96/12.48 (s @ X2 @ Y2))) = 90.96/12.48 (s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X4) @ 90.96/12.48 Y0) @ 90.96/12.48 (s @ X2 @ Y3))))) & 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 ( 90.96/12.48 tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ 90.96/12.48 Y2))) @ 90.96/12.48 (s @ X2 @ Y2)))))) <=> 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ 90.96/12.48 tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y2))) @ 90.96/12.48 (s @ X2 @ Y3))))))))))))))))))))), 90.96/12.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl122])). 90.96/12.48 thf(zip_derived_cl124, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.48 (((!!) @ (^[Y0 : u]: 90.96/12.48 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ Y0)))) => 90.96/12.48 (((!!) @ (^[Y1 : u]: 90.96/12.48 (((!!) @ (^[Y2 : u]: 90.96/12.48 (((((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y2))) @ 90.96/12.48 (s @ X2 @ Y2)))) & 90.96/12.48 (((s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X4) @ 90.96/12.48 X8) @ 90.96/12.48 (s @ X2 @ Y1))) = 90.96/12.48 (s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ X4) @ 90.96/12.48 X8) @ 90.96/12.48 (s @ X2 @ Y2))))) & 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y1))) @ 90.96/12.48 (s @ X2 @ Y1)))))) <=> 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ 90.96/12.48 X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y1))) @ 90.96/12.48 (s @ X2 @ Y2)))))))))))))))))), 90.96/12.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl123])). 90.96/12.48 thf(zip_derived_cl125, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u]: 90.96/12.48 (((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ X10)))) => 90.96/12.48 (((!!) @ (^[Y0 : u]: 90.96/12.48 (((!!) @ (^[Y1 : u]: 90.96/12.48 (((((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y1))) @ 90.96/12.48 (s @ X2 @ Y1)))) & 90.96/12.48 (((s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 X8) @ 90.96/12.48 (s @ X2 @ Y0))) = 90.96/12.48 (s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 X8) @ 90.96/12.48 (s @ X2 @ Y1))))) & 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y0))) @ 90.96/12.48 (s @ X2 @ Y0)))))) <=> 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y0))) @ 90.96/12.48 (s @ X2 @ Y1))))))))))))))), 90.96/12.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl124])). 90.96/12.48 thf(zip_derived_cl126, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u]: 90.96/12.48 (~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ X10)))) 90.96/12.48 | (((!!) @ (^[Y0 : u]: 90.96/12.48 (((!!) @ (^[Y1 : u]: 90.96/12.48 (((((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y1))) @ 90.96/12.48 (s @ X2 @ Y1)))) & 90.96/12.48 (((s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ X2 @ Y0))) = 90.96/12.48 (s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ X2 @ Y1))))) & 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y0))) @ 90.96/12.48 (s @ X2 @ Y0)))))) <=> 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y0))) @ 90.96/12.48 (s @ X2 @ Y1)))))))))))))), 90.96/12.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl125])). 90.96/12.48 thf(zip_derived_cl127, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u, X12 : u]: 90.96/12.48 ( (((!!) @ (^[Y0 : u]: 90.96/12.48 (((((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ Y0))) @ 90.96/12.48 (s @ X2 @ Y0)))) & 90.96/12.48 (((s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ X2 @ X12))) = 90.96/12.48 (s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ X2 @ Y0))))) & 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X12))) @ 90.96/12.48 (s @ X2 @ X12)))))) <=> 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X12))) @ 90.96/12.48 (s @ X2 @ Y0))))))))) 90.96/12.48 | ~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ X10)))))), 90.96/12.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl126])). 90.96/12.48 thf(zip_derived_cl128, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u, X12 : u, X14 : u]: 90.96/12.48 ( (((((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X14))) @ 90.96/12.48 (s @ X2 @ X14)))) & 90.96/12.48 (((s @ X4 @ 90.96/12.48 (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ X2 @ X12))) = 90.96/12.48 (s @ X4 @ 90.96/12.48 (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ X2 @ X14))))) & 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X12))) @ 90.96/12.48 (s @ X2 @ X12)))))) <=> 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X12))) @ 90.96/12.48 (s @ X2 @ X14)))))) 90.96/12.48 | ~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ X10)))))), 90.96/12.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl127])). 90.96/12.48 thf(zip_derived_cl129, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u, X12 : u, X14 : u]: 90.96/12.48 (((((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X14))) @ 90.96/12.48 (s @ X2 @ X14)))) & 90.96/12.48 (((s @ X4 @ 90.96/12.48 (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ X2 @ X12))) = 90.96/12.48 (s @ X4 @ 90.96/12.48 (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ X2 @ X14))))) & 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X12))) @ 90.96/12.48 (s @ X2 @ X12)))))) 90.96/12.48 = (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X12))) @ 90.96/12.48 (s @ X2 @ X14))))) 90.96/12.48 | ~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ X10)))))), 90.96/12.48 inference('simplify nested equalities', [status(thm)], 90.96/12.48 [zip_derived_cl128])). 90.96/12.48 thf(zip_derived_cl24, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.48 ((s @ X4 @ 90.96/12.48 (c_2Ecombin_2EW_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ X6) @ 90.96/12.48 (s @ X2 @ X8))) 90.96/12.48 = (s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X8))) @ 90.96/12.48 (s @ X2 @ X8))))), 90.96/12.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])). 90.96/12.48 thf(zip_derived_cl24, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u, X8 : u]: 90.96/12.48 ((s @ X4 @ 90.96/12.48 (c_2Ecombin_2EW_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ X6) @ 90.96/12.48 (s @ X2 @ X8))) 90.96/12.48 = (s @ X4 @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ X4)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X8))) @ 90.96/12.48 (s @ X2 @ X8))))), 90.96/12.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])). 90.96/12.48 thf(zip_derived_cl130, plain, 90.96/12.48 (![X2 : d, X4 : d, X6 : u, X8 : u, X10 : u, X12 : u, X14 : u]: 90.96/12.48 (((((j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Ecombin_2EW_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X14)))) & 90.96/12.48 (((s @ X4 @ 90.96/12.48 (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ X2 @ X12))) = 90.96/12.48 (s @ X4 @ 90.96/12.48 (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ X2 @ X14))))) & 90.96/12.48 (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Ecombin_2EW_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X12)))))) 90.96/12.48 = (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ 90.96/12.48 (app_2E2 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ X2 @ X12))) @ 90.96/12.48 (s @ X2 @ X14))))) 90.96/12.48 | ~ (j_mono_2Etyop_2Emin_2Ebool @ 90.96/12.48 (s @ tyop_2Emin_2Ebool @ 90.96/12.48 (c_2Equotient_2EQUOTIENT_2E3 @ 90.96/12.48 (s @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ 90.96/12.48 (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ 90.96/12.48 X6) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X8) @ 90.96/12.48 (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ X10)))))), 90.96/12.48 inference('demod', [status(thm)], 90.96/12.48 [zip_derived_cl129, zip_derived_cl24, zip_derived_cl24])). 90.96/12.48 thf(zip_derived_cl8890, plain, ($false), 90.96/12.48 inference('eprover', [status(thm)], 90.96/12.48 [zip_derived_cl107, zip_derived_cl102, zip_derived_cl89, 90.96/12.48 zip_derived_cl1241, zip_derived_cl112, zip_derived_cl24, 90.96/12.48 zip_derived_cl80, zip_derived_cl120, zip_derived_cl130])). 90.96/12.48 90.96/12.48 % SZS output end Refutation 90.96/12.48 90.96/12.48 90.96/12.48 % Terminating... 91.70/12.65 % Runner terminated. 91.70/12.65 % Zipperpin 1.5 exiting 91.70/12.65 EOF