TSTP Solution File: LCL949^4 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL949^4 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:27:44 EDT 2022
% Result : Theorem 22.78s 22.97s
% Output : CNFRefutation 28.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 309
% Syntax : Number of formulae : 3729 ( 307 unt; 213 typ; 10 def)
% Number of atoms : 63614 (16616 equ; 0 cnn)
% Maximal formula atoms : 32 ( 18 avg)
% Number of connectives : 133822 (15238 ~;24595 |; 3 &;93982 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 10 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 1097 (1097 >; 0 *; 0 +; 0 <<)
% Number of symbols : 215 ( 212 usr; 13 con; 0-9 aty)
% Number of variables : 27556 ( 421 ^27133 !; 2 ?;27556 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_apply,type,
apply: $i > $i > $i ).
thf(tp_complement,type,
complement: $i > $i ).
thf(tp_compose,type,
compose: $i > $i > $i ).
thf(tp_cross_product,type,
cross_product: $i > $i > $i ).
thf(tp_disjoint,type,
disjoint: $i > $i > mworld > $o ).
thf(tp_domain_of,type,
domain_of: $i > $i ).
thf(tp_element_relation,type,
element_relation: $i ).
thf(tp_first,type,
first: $i > $i ).
thf(tp_flip,type,
flip: $i > $i ).
thf(tp_function,type,
function: $i > mworld > $o ).
thf(tp_identity_relation,type,
identity_relation: $i ).
thf(tp_image,type,
image: $i > $i > $i ).
thf(tp_inductive,type,
inductive: $i > mworld > $o ).
thf(tp_intersection,type,
intersection: $i > $i > $i ).
thf(tp_inverse,type,
inverse: $i > $i ).
thf(tp_mactual,type,
mactual: mworld ).
thf(tp_mand,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mbox,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(tp_mdia,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(tp_member,type,
member: $i > $i > mworld > $o ).
thf(tp_mequiv,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mexists_di,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mforall_di,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mimplies,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mlocal,type,
mlocal: ( mworld > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(tp_mor,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mrel,type,
mrel: mworld > mworld > $o ).
thf(tp_null_class,type,
null_class: $i ).
thf(tp_ordered_pair,type,
ordered_pair: $i > $i > $i ).
thf(tp_power_class,type,
power_class: $i > $i ).
thf(tp_qmltpeq,type,
qmltpeq: $i > $i > mworld > $o ).
thf(tp_range_of,type,
range_of: $i > $i ).
thf(tp_restrict,type,
restrict: $i > $i > $i > $i ).
thf(tp_rotate,type,
rotate: $i > $i ).
thf(tp_sK100_SY2713,type,
sK100_SY2713: mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK101_SY2342,type,
sK101_SY2342: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK102_SY2356,type,
sK102_SY2356: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK103_SY2736,type,
sK103_SY2736: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK104_SY2412,type,
sK104_SY2412: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK105_SY2465,type,
sK105_SY2465: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK106_SY2299,type,
sK106_SY2299: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK107_SY2342,type,
sK107_SY2342: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK108_SY2545,type,
sK108_SY2545: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK109_SY2356,type,
sK109_SY2356: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK10_SY1879,type,
sK10_SY1879: mworld > $i > mworld > mworld ).
thf(tp_sK110_SY2552,type,
sK110_SY2552: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK111_SY2559,type,
sK111_SY2559: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK112_SY2566,type,
sK112_SY2566: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK113_SY2571,type,
sK113_SY2571: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK114_SY2412,type,
sK114_SY2412: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK115_SY2577,type,
sK115_SY2577: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK116_SY2654,type,
sK116_SY2654: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK117_SY2465,type,
sK117_SY2465: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK118_SY2599,type,
sK118_SY2599: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK119_SY2693,type,
sK119_SY2693: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK11_SY1926,type,
sK11_SY1926: mworld > $i > mworld > mworld ).
thf(tp_sK120_SY2545,type,
sK120_SY2545: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK121_SY2552,type,
sK121_SY2552: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK122_SY2559,type,
sK122_SY2559: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK123_SY2566,type,
sK123_SY2566: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK124_SY2571,type,
sK124_SY2571: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK125_SY2577,type,
sK125_SY2577: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK126_SY2743,type,
sK126_SY2743: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK127_SY2599,type,
sK127_SY2599: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK128_SY2749,type,
sK128_SY2749: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK129_SY2755,type,
sK129_SY2755: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK12_SY2066,type,
sK12_SY2066: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK130_SY2761,type,
sK130_SY2761: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK131_SY2769,type,
sK131_SY2769: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK132_SY2714,type,
sK132_SY2714: mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK133_SY2770,type,
sK133_SY2770: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK134_SY2435,type,
sK134_SY2435: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK135_SY2777,type,
sK135_SY2777: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK136_SY2714,type,
sK136_SY2714: $i > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK137_SY2779,type,
sK137_SY2779: mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK138_SY2435,type,
sK138_SY2435: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK139_SY2694,type,
sK139_SY2694: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK13_SY2074,type,
sK13_SY2074: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK140_SY2784,type,
sK140_SY2784: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK141_SY2655,type,
sK141_SY2655: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK142_SY2656,type,
sK142_SY2656: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK143_SY2746,type,
sK143_SY2746: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK144_SY2752,type,
sK144_SY2752: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK145_SY2758,type,
sK145_SY2758: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK146_SY2764,type,
sK146_SY2764: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK147_SY2694,type,
sK147_SY2694: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK148_SY2793,type,
sK148_SY2793: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK149_SY2436,type,
sK149_SY2436: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK14_SY2079,type,
sK14_SY2079: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK150_SY2655,type,
sK150_SY2655: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK151_SY2656,type,
sK151_SY2656: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK152_SY2789,type,
sK152_SY2789: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK153_SY2436,type,
sK153_SY2436: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK154_SY2436,type,
sK154_SY2436: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK155_SY2795,type,
sK155_SY2795: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK156_SY2436,type,
sK156_SY2436: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK157_SY2747,type,
sK157_SY2747: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK158_SY2753,type,
sK158_SY2753: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK159_SY2759,type,
sK159_SY2759: $i > mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK15_SY2113,type,
sK15_SY2113: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK160_SY2765,type,
sK160_SY2765: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK161_SY2747,type,
sK161_SY2747: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK162_SY2753,type,
sK162_SY2753: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK163_SY2759,type,
sK163_SY2759: $i > mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK164_SY2765,type,
sK164_SY2765: $i > $i > mworld > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK165_SY2790,type,
sK165_SY2790: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK166_SY2796,type,
sK166_SY2796: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK167_SY2790,type,
sK167_SY2790: $i > mworld > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK168_SY2796,type,
sK168_SY2796: $i > mworld > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK16_SY2123,type,
sK16_SY2123: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK17_SY2163,type,
sK17_SY2163: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK18_SY2165,type,
sK18_SY2165: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK19_SY2167,type,
sK19_SY2167: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_SY2200,type,
sK20_SY2200: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK21_SY1530,type,
sK21_SY1530: mworld > $i > mworld > $i ).
thf(tp_sK22_SY2260,type,
sK22_SY2260: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK23_SY2271,type,
sK23_SY2271: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK24_SY2273,type,
sK24_SY2273: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK25_SY2275,type,
sK25_SY2275: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK26_SY2286,type,
sK26_SY2286: mworld > $i > mworld > mworld ).
thf(tp_sK27_SY1882,type,
sK27_SY1882: mworld > $i > mworld > mworld ).
thf(tp_sK28_SY1929,type,
sK28_SY1929: mworld > $i > mworld > mworld ).
thf(tp_sK29_SY2294,type,
sK29_SY2294: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK2_SX0,type,
sK2_SX0: mworld ).
thf(tp_sK30_SY2313,type,
sK30_SY2313: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK31_SY2076,type,
sK31_SY2076: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK32_SY2338,type,
sK32_SY2338: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK33_SY2351,type,
sK33_SY2351: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK34_SY2369,type,
sK34_SY2369: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK35_SY2375,type,
sK35_SY2375: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK36_SY2120,type,
sK36_SY2120: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK37_SY2155,type,
sK37_SY2155: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK38_SY2408,type,
sK38_SY2408: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK39_SY2418,type,
sK39_SY2418: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK40_SY2424,type,
sK40_SY2424: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK41_SY2430,type,
sK41_SY2430: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK42_SY1530,type,
sK42_SY1530: mworld > mworld > $i > mworld > $i ).
thf(tp_sK43_SY2461,type,
sK43_SY2461: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK44_SY2528,type,
sK44_SY2528: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK45_SY2534,type,
sK45_SY2534: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK46_SY2536,type,
sK46_SY2536: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK47_SY2542,type,
sK47_SY2542: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK48_SY2547,type,
sK48_SY2547: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK49_SY2549,type,
sK49_SY2549: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK4_SY637,type,
sK4_SY637: $i ).
thf(tp_sK50_SY2554,type,
sK50_SY2554: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK51_SY2556,type,
sK51_SY2556: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK52_SY2561,type,
sK52_SY2561: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK53_SY2563,type,
sK53_SY2563: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK54_SY2568,type,
sK54_SY2568: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK55_SY2579,type,
sK55_SY2579: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK56_SY2590,type,
sK56_SY2590: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK57_SY2592,type,
sK57_SY2592: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK58_SY2594,type,
sK58_SY2594: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK59_SY2596,type,
sK59_SY2596: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK5_SY953,type,
sK5_SY953: mworld ).
thf(tp_sK60_SY2601,type,
sK60_SY2601: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK61_SY2702,type,
sK61_SY2702: mworld > $i > $i > mworld > mworld > $i ).
thf(tp_sK62_SY2630,type,
sK62_SY2630: mworld > $i > mworld > mworld ).
thf(tp_sK63_SY1883,type,
sK63_SY1883: mworld > $i > mworld > mworld ).
thf(tp_sK64_SY2706,type,
sK64_SY2706: mworld > $i > $i > mworld > mworld > $i ).
thf(tp_sK65_SY1930,type,
sK65_SY1930: mworld > $i > mworld > mworld ).
thf(tp_sK66_SY2298,type,
sK66_SY2298: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK67_SY2314,type,
sK67_SY2314: mworld > mworld > $i > $i > mworld > $i ).
thf(tp_sK68_SY2077,type,
sK68_SY2077: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK69_SY2341,type,
sK69_SY2341: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK6_SY1458,type,
sK6_SY1458: mworld > $i > mworld > mworld ).
thf(tp_sK70_SY2355,type,
sK70_SY2355: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK71_SY2719,type,
sK71_SY2719: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK72_SY2121,type,
sK72_SY2121: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK73_SY2156,type,
sK73_SY2156: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK74_SY2411,type,
sK74_SY2411: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK75_SY1883,type,
sK75_SY1883: mworld > $i > mworld > mworld ).
thf(tp_sK76_SY2726,type,
sK76_SY2726: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK77_SY2434,type,
sK77_SY2434: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK78_SY1930,type,
sK78_SY1930: mworld > $i > mworld > mworld ).
thf(tp_sK79_SY2464,type,
sK79_SY2464: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK7_SY1389,type,
sK7_SY1389: mworld > $i > mworld > mworld ).
thf(tp_sK80_SY2314,type,
sK80_SY2314: mworld > mworld > $i > $i > mworld > $i ).
thf(tp_sK81_SY2077,type,
sK81_SY2077: $i > mworld > mworld > $i > mworld > mworld ).
thf(tp_sK82_SY2641,type,
sK82_SY2641: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK83_SY2544,type,
sK83_SY2544: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK84_SY2551,type,
sK84_SY2551: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK85_SY2121,type,
sK85_SY2121: $i > mworld > mworld > $i > mworld > mworld ).
thf(tp_sK86_SY2558,type,
sK86_SY2558: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK87_SY2565,type,
sK87_SY2565: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK88_SY2156,type,
sK88_SY2156: $i > mworld > mworld > $i > mworld > mworld ).
thf(tp_sK89_SY2570,type,
sK89_SY2570: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK8_SY1417,type,
sK8_SY1417: mworld > $i > mworld > mworld ).
thf(tp_sK90_SY2576,type,
sK90_SY2576: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK91_SY2650,type,
sK91_SY2650: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK92_SY2598,type,
sK92_SY2598: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK93_SY2690,type,
sK93_SY2690: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK94_SY2696,type,
sK94_SY2696: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK95_SY2698,type,
sK95_SY2698: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK96_SY2644,type,
sK96_SY2644: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK97_SY2645,type,
sK97_SY2645: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK98_SY2700,type,
sK98_SY2700: mworld > mworld > mworld > mworld > $i > $i > $i > $i > mworld > mworld ).
thf(tp_sK99_SY2299,type,
sK99_SY2299: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK9_SY1528,type,
sK9_SY1528: mworld > $i > mworld > mworld ).
thf(tp_second,type,
second: $i > $i ).
thf(tp_singleton,type,
singleton: $i > $i ).
thf(tp_subclass,type,
subclass: $i > $i > mworld > $o ).
thf(tp_successor,type,
successor: $i > $i ).
thf(tp_successor_relation,type,
successor_relation: $i ).
thf(tp_sum_class,type,
sum_class: $i > $i ).
thf(tp_union,type,
union: $i > $i > $i ).
thf(tp_universal_class,type,
universal_class: $i ).
thf(tp_unordered_pair,type,
unordered_pair: $i > $i > $i ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] : ( A @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(1,axiom,
( mlocal
@ ( mexists_di
@ ^ [XF: $i] :
( mand @ ( mbox @ ( function @ XF ) )
@ ( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ Y @ universal_class ) ) @ ( mor @ ( mbox @ ( qmltpeq @ Y @ null_class ) ) @ ( mbox @ ( member @ ( apply @ XF @ Y ) @ Y ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choice) ).
thf(2,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [XF: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( apply @ XF @ Y ) @ ( sum_class @ ( image @ XF @ ( singleton @ Y ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apply_defn) ).
thf(3,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X @ null_class ) ) ) )
@ ( mexists_di
@ ^ [U: $i] : ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mand @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( disjoint @ U @ X ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity) ).
thf(4,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( disjoint @ X @ Y ) )
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ U @ Y ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ U @ Y ) ) ) ) ) ) )
@ ( mbox @ ( disjoint @ X @ Y ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).
thf(5,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [XF: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ X @ universal_class ) ) @ ( mbox @ ( function @ XF ) ) ) @ ( mbox @ ( member @ ( image @ XF @ X ) @ universal_class ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',replacement) ).
thf(6,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [XF: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( function @ XF ) ) @ ( mand @ ( mbox @ ( subclass @ XF @ ( cross_product @ universal_class @ universal_class ) ) ) @ ( mbox @ ( subclass @ ( compose @ XF @ ( inverse @ XF ) ) @ identity_relation ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subclass @ XF @ ( cross_product @ universal_class @ universal_class ) ) ) @ ( mbox @ ( subclass @ ( compose @ XF @ ( inverse @ XF ) ) @ identity_relation ) ) ) @ ( mbox @ ( function @ XF ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',function_defn) ).
thf(7,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [XR: $i] :
( mbox
@ ( mforall_di
@ ^ [YR: $i] :
( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [V: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ U @ V ) @ ( compose @ YR @ XR ) ) ) @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mbox @ ( member @ V @ ( image @ YR @ ( image @ YR @ ( singleton @ U ) ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mbox @ ( member @ V @ ( image @ YR @ ( image @ YR @ ( singleton @ U ) ) ) ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ U @ V ) @ ( compose @ YR @ XR ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_defn2) ).
thf(8,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [XR: $i] :
( mbox
@ ( mforall_di
@ ^ [YR: $i] : ( mbox @ ( subclass @ ( compose @ YR @ XR ) @ ( cross_product @ universal_class @ universal_class ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_defn1) ).
thf(9,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mbox @ ( member @ ( power_class @ U ) @ universal_class ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_class_0) ).
thf(10,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ U @ ( power_class @ X ) ) ) @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mbox @ ( subclass @ U @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mbox @ ( subclass @ U @ X ) ) ) @ ( mbox @ ( member @ U @ ( power_class @ X ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_class_defn) ).
thf(11,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ X @ universal_class ) ) @ ( mbox @ ( member @ ( sum_class @ X ) @ universal_class ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_class_0) ).
thf(12,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( member @ U @ ( sum_class @ X ) ) )
@ ( mexists_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( member @ U @ Y ) ) @ ( mbox @ ( member @ Y @ X ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( member @ U @ Y ) ) @ ( mbox @ ( member @ Y @ X ) ) ) )
@ ( mbox @ ( member @ U @ ( sum_class @ X ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_class_defn) ).
thf(13,axiom,
( mlocal
@ ( mexists_di
@ ^ [X: $i] :
( mand @ ( mbox @ ( member @ X @ universal_class ) )
@ ( mand @ ( mbox @ ( inductive @ X ) )
@ ( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( inductive @ Y ) ) @ ( mbox @ ( subclass @ X @ Y ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infinity) ).
thf(14,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( inductive @ X ) ) @ ( mand @ ( mbox @ ( member @ null_class @ X ) ) @ ( mbox @ ( subclass @ ( image @ successor_relation @ X ) @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ null_class @ X ) ) @ ( mbox @ ( subclass @ ( image @ successor_relation @ X ) @ X ) ) ) @ ( mbox @ ( inductive @ X ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive_defn) ).
thf(15,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [XR: $i] : ( mbox @ ( qmltpeq @ ( image @ XR @ X ) @ ( range_of @ ( restrict @ XR @ X @ universal_class ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image_defn) ).
thf(16,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( qmltpeq @ ( range_of @ Z ) @ ( domain_of @ ( inverse @ Z ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of_defn) ).
thf(17,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( inverse @ Y ) @ ( domain_of @ ( flip @ ( cross_product @ Y @ universal_class ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_defn) ).
thf(18,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ X @ Y ) @ successor_relation ) ) @ ( mand @ ( mbox @ ( member @ X @ universal_class ) ) @ ( mand @ ( mbox @ ( member @ Y @ universal_class ) ) @ ( mbox @ ( qmltpeq @ ( successor @ X ) @ Y ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ X @ universal_class ) ) @ ( mand @ ( mbox @ ( member @ Y @ universal_class ) ) @ ( mbox @ ( qmltpeq @ ( successor @ X ) @ Y ) ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ X @ Y ) @ successor_relation ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_relation_defn2) ).
thf(19,axiom,
mlocal @ ( mbox @ ( subclass @ successor_relation @ ( cross_product @ universal_class @ universal_class ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_relation_defn1) ).
thf(20,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ ( successor @ X ) @ ( union @ X @ ( singleton @ X ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_defn) ).
thf(21,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ Z @ ( union @ X @ Y ) ) ) @ ( mor @ ( mbox @ ( member @ Z @ X ) ) @ ( mbox @ ( member @ Z @ Y ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ ( member @ Z @ X ) ) @ ( mbox @ ( member @ Z @ Y ) ) ) @ ( mbox @ ( member @ Z @ ( union @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
thf(22,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ ( flip @ X ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip_0) ).
thf(23,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [W: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( flip @ X ) ) ) @ ( mand @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ U ) @ W ) @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ U ) @ W ) @ X ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( flip @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip_defn) ).
thf(24,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ ( rotate @ X ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rotate_0) ).
thf(25,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [W: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( rotate @ X ) ) ) @ ( mand @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ W ) @ U ) @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ W ) @ U ) @ X ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( rotate @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rotate_defn) ).
thf(26,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ Z @ ( domain_of @ X ) ) ) @ ( mand @ ( mbox @ ( member @ Z @ universal_class ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ ( restrict @ X @ ( singleton @ Z ) @ universal_class ) @ null_class ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ Z @ universal_class ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ ( restrict @ X @ ( singleton @ Z ) @ universal_class ) @ null_class ) ) ) ) ) @ ( mbox @ ( member @ Z @ ( domain_of @ X ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_0) ).
thf(27,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( mnot @ ( mbox @ ( member @ X @ null_class ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_defn) ).
thf(28,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [XR: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( restrict @ XR @ X @ Y ) @ ( intersection @ XR @ ( cross_product @ X @ Y ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restrict_defn) ).
thf(29,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ Z @ ( complement @ X ) ) ) @ ( mand @ ( mbox @ ( member @ Z @ universal_class ) ) @ ( mbox @ ( mnot @ ( mbox @ ( member @ Z @ X ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ Z @ universal_class ) ) @ ( mbox @ ( mnot @ ( mbox @ ( member @ Z @ X ) ) ) ) ) @ ( mbox @ ( member @ Z @ ( complement @ X ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_0) ).
thf(30,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ Z @ ( intersection @ X @ Y ) ) ) @ ( mand @ ( mbox @ ( member @ Z @ X ) ) @ ( mbox @ ( member @ Z @ Y ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ Z @ X ) ) @ ( mbox @ ( member @ Z @ Y ) ) ) @ ( mbox @ ( member @ Z @ ( intersection @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_0) ).
thf(31,axiom,
mlocal @ ( mbox @ ( subclass @ element_relation @ ( cross_product @ universal_class @ universal_class ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation_0) ).
thf(32,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ X @ Y ) @ element_relation ) ) @ ( mand @ ( mbox @ ( member @ Y @ universal_class ) ) @ ( mbox @ ( member @ X @ Y ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ Y @ universal_class ) ) @ ( mbox @ ( member @ X @ Y ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ X @ Y ) @ element_relation ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation_defn) ).
thf(33,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ Z @ ( cross_product @ X @ Y ) ) ) @ ( mbox @ ( qmltpeq @ Z @ ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_product_0) ).
thf(34,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) @ ( mand @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ V @ Y ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ V @ Y ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_product_defn) ).
thf(35,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( ordered_pair @ X @ Y ) @ ( unordered_pair @ ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_defn) ).
thf(36,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ ( singleton @ X ) @ ( unordered_pair @ X @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).
thf(37,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( member @ ( unordered_pair @ X @ Y ) @ universal_class ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_0) ).
thf(38,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ U @ ( unordered_pair @ X @ Y ) ) ) @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mor @ ( mbox @ ( qmltpeq @ U @ X ) ) @ ( mbox @ ( qmltpeq @ U @ Y ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mor @ ( mbox @ ( qmltpeq @ U @ X ) ) @ ( mbox @ ( qmltpeq @ U @ Y ) ) ) ) @ ( mbox @ ( member @ U @ ( unordered_pair @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
thf(39,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mand @ ( mbox @ ( subclass @ X @ Y ) ) @ ( mbox @ ( subclass @ Y @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subclass @ X @ Y ) ) @ ( mbox @ ( subclass @ Y @ X ) ) ) @ ( mbox @ ( qmltpeq @ X @ Y ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).
thf(40,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ X @ universal_class ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
thf(41,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( subclass @ X @ Y ) )
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ U @ Y ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ U @ Y ) ) ) ) ) )
@ ( mbox @ ( subclass @ X @ Y ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_defn) ).
thf(42,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subclass @ C @ A ) ) ) @ ( mbox @ ( subclass @ C @ B ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_substitution_2) ).
thf(43,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subclass @ A @ C ) ) ) @ ( mbox @ ( subclass @ B @ C ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_substitution_1) ).
thf(44,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ C @ A ) ) ) @ ( mbox @ ( member @ C @ B ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_substitution_2) ).
thf(45,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ A @ C ) ) ) @ ( mbox @ ( member @ B @ C ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_substitution_1) ).
thf(46,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( inductive @ A ) ) ) @ ( mbox @ ( inductive @ B ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive_substitution_1) ).
thf(47,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( function @ A ) ) ) @ ( mbox @ ( function @ B ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',function_substitution_1) ).
thf(48,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( disjoint @ C @ A ) ) ) @ ( mbox @ ( disjoint @ C @ B ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_substitution_2) ).
thf(49,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( disjoint @ A @ C ) ) ) @ ( mbox @ ( disjoint @ B @ C ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_substitution_1) ).
thf(50,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( unordered_pair @ C @ A ) @ ( unordered_pair @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_substitution_2) ).
thf(51,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( unordered_pair @ A @ C ) @ ( unordered_pair @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_substitution_1) ).
thf(52,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ C @ A ) @ ( union @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_substitution_2) ).
thf(53,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ A @ C ) @ ( union @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_substitution_1) ).
thf(54,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( sum_class @ A ) @ ( sum_class @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_class_substitution_1) ).
thf(55,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( successor @ A ) @ ( successor @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_substitution_1) ).
thf(56,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( singleton @ A ) @ ( singleton @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_substitution_1) ).
thf(57,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( second @ A ) @ ( second @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',second_substitution_1) ).
thf(58,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( rotate @ A ) @ ( rotate @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rotate_substitution_1) ).
thf(59,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( restrict @ C @ D @ A ) @ ( restrict @ C @ D @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restrict_substitution_3) ).
thf(60,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( restrict @ C @ A @ D ) @ ( restrict @ C @ B @ D ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restrict_substitution_2) ).
thf(61,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( restrict @ A @ C @ D ) @ ( restrict @ B @ C @ D ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restrict_substitution_1) ).
thf(62,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( range_of @ A ) @ ( range_of @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of_substitution_1) ).
thf(63,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( power_class @ A ) @ ( power_class @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_class_substitution_1) ).
thf(64,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( ordered_pair @ C @ A ) @ ( ordered_pair @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_substitution_2) ).
thf(65,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( ordered_pair @ A @ C ) @ ( ordered_pair @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_substitution_1) ).
thf(66,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( inverse @ A ) @ ( inverse @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_substitution_1) ).
thf(67,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( intersection @ C @ A ) @ ( intersection @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_substitution_2) ).
thf(68,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( intersection @ A @ C ) @ ( intersection @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_substitution_1) ).
thf(69,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( image @ C @ A ) @ ( image @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image_substitution_2) ).
thf(70,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( image @ A @ C ) @ ( image @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image_substitution_1) ).
thf(71,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( flip @ A ) @ ( flip @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip_substitution_1) ).
thf(72,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( first @ A ) @ ( first @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',first_substitution_1) ).
thf(73,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( domain_of @ A ) @ ( domain_of @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_substitution_1) ).
thf(74,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( cross_product @ C @ A ) @ ( cross_product @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_product_substitution_2) ).
thf(75,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( cross_product @ A @ C ) @ ( cross_product @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_product_substitution_1) ).
thf(76,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( compose @ C @ A ) @ ( compose @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_substitution_2) ).
thf(77,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( compose @ A @ C ) @ ( compose @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_substitution_1) ).
thf(78,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( complement @ A ) @ ( complement @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_substitution_1) ).
thf(79,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( apply @ C @ A ) @ ( apply @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apply_substitution_2) ).
thf(80,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( apply @ A @ C ) @ ( apply @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apply_substitution_1) ).
thf(81,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
thf(82,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
thf(83,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(84,axiom,
! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).
thf(85,axiom,
! [W: mworld] : ( mrel @ W @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(86,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ X @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subclass) ).
thf(87,negated_conjecture,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ X @ X ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[86]) ).
thf(88,plain,
( ( ~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ X @ X ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[87]) ).
thf(89,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ~ ( mrel @ W @ V )
| ~ ( mrel @ V @ U )
| ( mrel @ W @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(90,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(91,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ~ ( mrel @ W @ V )
| ~ ( mrel @ V @ U )
| ( mrel @ W @ U ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(92,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(93,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(94,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(95,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( apply @ A @ C ) @ ( apply @ B @ C ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(96,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( apply @ C @ A ) @ ( apply @ C @ B ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(97,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( complement @ A ) @ ( complement @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(98,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( compose @ A @ C ) @ ( compose @ B @ C ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(99,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( compose @ C @ A ) @ ( compose @ C @ B ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(100,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( cross_product @ A @ C ) @ ( cross_product @ B @ C ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(101,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( cross_product @ C @ A ) @ ( cross_product @ C @ B ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(102,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( domain_of @ A ) @ ( domain_of @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(103,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( first @ A ) @ ( first @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(104,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( flip @ A ) @ ( flip @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(105,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( image @ A @ C ) @ ( image @ B @ C ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(106,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( image @ C @ A ) @ ( image @ C @ B ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(107,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( intersection @ A @ C ) @ ( intersection @ B @ C ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(108,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( intersection @ C @ A ) @ ( intersection @ C @ B ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(109,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( inverse @ A ) @ ( inverse @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(110,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( ordered_pair @ A @ C ) @ ( ordered_pair @ B @ C ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(111,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( ordered_pair @ C @ A ) @ ( ordered_pair @ C @ B ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(112,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( power_class @ A ) @ ( power_class @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(113,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( range_of @ A ) @ ( range_of @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(114,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( restrict @ A @ C @ D ) @ ( restrict @ B @ C @ D ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(115,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( restrict @ C @ A @ D ) @ ( restrict @ C @ B @ D ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(116,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( restrict @ C @ D @ A ) @ ( restrict @ C @ D @ B ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(117,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( rotate @ A ) @ ( rotate @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(118,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( second @ A ) @ ( second @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(119,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( singleton @ A ) @ ( singleton @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(120,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( successor @ A ) @ ( successor @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(121,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( sum_class @ A ) @ ( sum_class @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(122,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ A @ C ) @ ( union @ B @ C ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(123,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ C @ A ) @ ( union @ C @ B ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(124,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( unordered_pair @ A @ C ) @ ( unordered_pair @ B @ C ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(125,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( unordered_pair @ C @ A ) @ ( unordered_pair @ C @ B ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(126,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( disjoint @ A @ C ) ) ) @ ( mbox @ ( disjoint @ B @ C ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(127,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( disjoint @ C @ A ) ) ) @ ( mbox @ ( disjoint @ C @ B ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(128,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( function @ A ) ) ) @ ( mbox @ ( function @ B ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(129,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( inductive @ A ) ) ) @ ( mbox @ ( inductive @ B ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(130,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ A @ C ) ) ) @ ( mbox @ ( member @ B @ C ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(131,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ C @ A ) ) ) @ ( mbox @ ( member @ C @ B ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(132,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subclass @ A @ C ) ) ) @ ( mbox @ ( subclass @ B @ C ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(133,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subclass @ C @ A ) ) ) @ ( mbox @ ( subclass @ C @ B ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(134,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( subclass @ X @ Y ) )
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ U @ Y ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ U @ Y ) ) ) ) ) )
@ ( mbox @ ( subclass @ X @ Y ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(135,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ X @ universal_class ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(136,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mand @ ( mbox @ ( subclass @ X @ Y ) ) @ ( mbox @ ( subclass @ Y @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subclass @ X @ Y ) ) @ ( mbox @ ( subclass @ Y @ X ) ) ) @ ( mbox @ ( qmltpeq @ X @ Y ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(137,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ U @ ( unordered_pair @ X @ Y ) ) ) @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mor @ ( mbox @ ( qmltpeq @ U @ X ) ) @ ( mbox @ ( qmltpeq @ U @ Y ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mor @ ( mbox @ ( qmltpeq @ U @ X ) ) @ ( mbox @ ( qmltpeq @ U @ Y ) ) ) ) @ ( mbox @ ( member @ U @ ( unordered_pair @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(138,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( member @ ( unordered_pair @ X @ Y ) @ universal_class ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(139,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ ( singleton @ X ) @ ( unordered_pair @ X @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(140,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( ordered_pair @ X @ Y ) @ ( unordered_pair @ ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(141,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) @ ( mand @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ V @ Y ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ V @ Y ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(142,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ Z @ ( cross_product @ X @ Y ) ) ) @ ( mbox @ ( qmltpeq @ Z @ ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(143,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ X @ Y ) @ element_relation ) ) @ ( mand @ ( mbox @ ( member @ Y @ universal_class ) ) @ ( mbox @ ( member @ X @ Y ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ Y @ universal_class ) ) @ ( mbox @ ( member @ X @ Y ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ X @ Y ) @ element_relation ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(144,plain,
( ( mlocal @ ( mbox @ ( subclass @ element_relation @ ( cross_product @ universal_class @ universal_class ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(145,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ Z @ ( intersection @ X @ Y ) ) ) @ ( mand @ ( mbox @ ( member @ Z @ X ) ) @ ( mbox @ ( member @ Z @ Y ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ Z @ X ) ) @ ( mbox @ ( member @ Z @ Y ) ) ) @ ( mbox @ ( member @ Z @ ( intersection @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(146,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ Z @ ( complement @ X ) ) ) @ ( mand @ ( mbox @ ( member @ Z @ universal_class ) ) @ ( mbox @ ( mnot @ ( mbox @ ( member @ Z @ X ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ Z @ universal_class ) ) @ ( mbox @ ( mnot @ ( mbox @ ( member @ Z @ X ) ) ) ) ) @ ( mbox @ ( member @ Z @ ( complement @ X ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(147,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [XR: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( restrict @ XR @ X @ Y ) @ ( intersection @ XR @ ( cross_product @ X @ Y ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(148,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( mnot @ ( mbox @ ( member @ X @ null_class ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(149,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ Z @ ( domain_of @ X ) ) ) @ ( mand @ ( mbox @ ( member @ Z @ universal_class ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ ( restrict @ X @ ( singleton @ Z ) @ universal_class ) @ null_class ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ Z @ universal_class ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ ( restrict @ X @ ( singleton @ Z ) @ universal_class ) @ null_class ) ) ) ) ) @ ( mbox @ ( member @ Z @ ( domain_of @ X ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(150,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [W: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( rotate @ X ) ) ) @ ( mand @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ W ) @ U ) @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ W ) @ U ) @ X ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( rotate @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(151,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ ( rotate @ X ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(152,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [W: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( flip @ X ) ) ) @ ( mand @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ U ) @ W ) @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ U ) @ W ) @ X ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( flip @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(153,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ ( flip @ X ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(154,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ Z @ ( union @ X @ Y ) ) ) @ ( mor @ ( mbox @ ( member @ Z @ X ) ) @ ( mbox @ ( member @ Z @ Y ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ ( member @ Z @ X ) ) @ ( mbox @ ( member @ Z @ Y ) ) ) @ ( mbox @ ( member @ Z @ ( union @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(155,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ ( successor @ X ) @ ( union @ X @ ( singleton @ X ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(156,plain,
( ( mlocal @ ( mbox @ ( subclass @ successor_relation @ ( cross_product @ universal_class @ universal_class ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(157,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ X @ Y ) @ successor_relation ) ) @ ( mand @ ( mbox @ ( member @ X @ universal_class ) ) @ ( mand @ ( mbox @ ( member @ Y @ universal_class ) ) @ ( mbox @ ( qmltpeq @ ( successor @ X ) @ Y ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ X @ universal_class ) ) @ ( mand @ ( mbox @ ( member @ Y @ universal_class ) ) @ ( mbox @ ( qmltpeq @ ( successor @ X ) @ Y ) ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ X @ Y ) @ successor_relation ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(158,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( inverse @ Y ) @ ( domain_of @ ( flip @ ( cross_product @ Y @ universal_class ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(159,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( qmltpeq @ ( range_of @ Z ) @ ( domain_of @ ( inverse @ Z ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(160,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [XR: $i] : ( mbox @ ( qmltpeq @ ( image @ XR @ X ) @ ( range_of @ ( restrict @ XR @ X @ universal_class ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(161,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( inductive @ X ) ) @ ( mand @ ( mbox @ ( member @ null_class @ X ) ) @ ( mbox @ ( subclass @ ( image @ successor_relation @ X ) @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ null_class @ X ) ) @ ( mbox @ ( subclass @ ( image @ successor_relation @ X ) @ X ) ) ) @ ( mbox @ ( inductive @ X ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(162,plain,
( ( mlocal
@ ( mexists_di
@ ^ [X: $i] :
( mand @ ( mbox @ ( member @ X @ universal_class ) )
@ ( mand @ ( mbox @ ( inductive @ X ) )
@ ( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( inductive @ Y ) ) @ ( mbox @ ( subclass @ X @ Y ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(163,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( member @ U @ ( sum_class @ X ) ) )
@ ( mexists_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( member @ U @ Y ) ) @ ( mbox @ ( member @ Y @ X ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( member @ U @ Y ) ) @ ( mbox @ ( member @ Y @ X ) ) ) )
@ ( mbox @ ( member @ U @ ( sum_class @ X ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(164,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ X @ universal_class ) ) @ ( mbox @ ( member @ ( sum_class @ X ) @ universal_class ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(165,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ U @ ( power_class @ X ) ) ) @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mbox @ ( subclass @ U @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mbox @ ( subclass @ U @ X ) ) ) @ ( mbox @ ( member @ U @ ( power_class @ X ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(166,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mbox @ ( member @ ( power_class @ U ) @ universal_class ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(167,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [XR: $i] :
( mbox
@ ( mforall_di
@ ^ [YR: $i] : ( mbox @ ( subclass @ ( compose @ YR @ XR ) @ ( cross_product @ universal_class @ universal_class ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(168,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [XR: $i] :
( mbox
@ ( mforall_di
@ ^ [YR: $i] :
( mbox
@ ( mforall_di
@ ^ [U: $i] :
( mbox
@ ( mforall_di
@ ^ [V: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ ( ordered_pair @ U @ V ) @ ( compose @ YR @ XR ) ) ) @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mbox @ ( member @ V @ ( image @ YR @ ( image @ YR @ ( singleton @ U ) ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mbox @ ( member @ V @ ( image @ YR @ ( image @ YR @ ( singleton @ U ) ) ) ) ) ) @ ( mbox @ ( member @ ( ordered_pair @ U @ V ) @ ( compose @ YR @ XR ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(169,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [XF: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( function @ XF ) ) @ ( mand @ ( mbox @ ( subclass @ XF @ ( cross_product @ universal_class @ universal_class ) ) ) @ ( mbox @ ( subclass @ ( compose @ XF @ ( inverse @ XF ) ) @ identity_relation ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subclass @ XF @ ( cross_product @ universal_class @ universal_class ) ) ) @ ( mbox @ ( subclass @ ( compose @ XF @ ( inverse @ XF ) ) @ identity_relation ) ) ) @ ( mbox @ ( function @ XF ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(170,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [XF: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ X @ universal_class ) ) @ ( mbox @ ( function @ XF ) ) ) @ ( mbox @ ( member @ ( image @ XF @ X ) @ universal_class ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(171,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( disjoint @ X @ Y ) )
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ U @ Y ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( member @ U @ Y ) ) ) ) ) ) )
@ ( mbox @ ( disjoint @ X @ Y ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(172,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X @ null_class ) ) ) )
@ ( mexists_di
@ ^ [U: $i] : ( mand @ ( mbox @ ( member @ U @ universal_class ) ) @ ( mand @ ( mbox @ ( member @ U @ X ) ) @ ( mbox @ ( disjoint @ U @ X ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(173,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [XF: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( apply @ XF @ Y ) @ ( sum_class @ ( image @ XF @ ( singleton @ Y ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(174,plain,
( ( mlocal
@ ( mexists_di
@ ^ [XF: $i] :
( mand @ ( mbox @ ( function @ XF ) )
@ ( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ Y @ universal_class ) ) @ ( mor @ ( mbox @ ( qmltpeq @ Y @ null_class ) ) @ ( mbox @ ( member @ ( apply @ XF @ Y ) @ Y ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(175,plain,
( ( ~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ X @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(176,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SX1 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SX5 @ SX1 @ SX7 ) @ ( restrict @ SX5 @ SX3 @ SX7 ) @ SX9 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(177,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( domain_of @ SX1 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ ( restrict @ SX1 @ ( singleton @ SX3 ) @ universal_class ) @ null_class @ SX6 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ ( restrict @ SX1 @ ( singleton @ SX3 ) @ universal_class ) @ null_class @ SX6 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( domain_of @ SX1 ) @ SX5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(178,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( apply @ SX1 @ SX5 ) @ ( apply @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(179,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SX1 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SX1 @ SX5 @ SX7 ) @ ( restrict @ SX3 @ SX5 @ SX7 ) @ SX9 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(180,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( compose @ SX5 @ SX1 ) @ ( compose @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(181,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ ( sum_class @ SX3 ) @ SX5 ) )
| ~ ! [SX5: $i] :
~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SX1 @ SX5 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SX5 @ SX3 @ SX6 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SX1 @ SX5 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SX5 @ SX3 @ SX6 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ ( sum_class @ SX3 ) @ SX5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(182,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( complement @ SX1 ) @ ( complement @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(183,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( qmltpeq @ ( apply @ SX1 @ SX3 ) @ ( sum_class @ ( image @ SX1 @ ( singleton @ SX3 ) ) ) @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(184,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( qmltpeq @ ( restrict @ SX3 @ SX1 @ SX5 ) @ ( intersection @ SX3 @ ( cross_product @ SX1 @ SX5 ) ) @ SX6 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(185,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( qmltpeq @ ( singleton @ SX1 ) @ ( unordered_pair @ SX1 @ SX1 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(186,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SX1 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(187,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( power_class @ SX1 ) @ ( power_class @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(188,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( image @ SX3 @ SX1 ) @ universal_class @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(189,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( member @ ( unordered_pair @ SX1 @ SX3 ) @ universal_class @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(190,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( range_of @ SX1 ) @ ( range_of @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(191,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( qmltpeq @ ( inverse @ SX1 ) @ ( domain_of @ ( flip @ ( cross_product @ SX1 @ universal_class ) ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(192,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( subclass @ ( rotate @ SX1 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(193,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SX1 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SX1 @ SX3 ) @ SX7 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(194,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SX1 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SX5 @ SX7 @ SX1 ) @ ( restrict @ SX5 @ SX7 @ SX3 ) @ SX9 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(195,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( qmltpeq @ ( successor @ SX1 ) @ ( union @ SX1 @ ( singleton @ SX1 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(196,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ ( power_class @ SX3 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX1 @ SX3 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX1 @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ ( power_class @ SX3 ) @ SX5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(197,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( ordered_pair @ SX1 @ SX5 ) @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(198,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX1 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(199,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( complement @ SX1 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( member @ SX3 @ SX1 @ SX6 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( member @ SX3 @ SX1 @ SX6 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( complement @ SX1 ) @ SX5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(200,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( intersection @ SX1 @ SX5 ) @ ( intersection @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(201,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( compose @ SX1 @ SX5 ) @ ( compose @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(202,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( subclass @ successor_relation @ ( cross_product @ universal_class @ universal_class ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(203,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( subclass @ ( compose @ SX3 @ SX1 ) @ ( cross_product @ universal_class @ universal_class ) @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(204,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( inverse @ SX1 ) @ ( inverse @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(205,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX5 @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(206,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX1 @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(207,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SX1 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SX3 @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(208,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( second @ SX1 ) @ ( second @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(209,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( apply @ SX5 @ SX1 ) @ ( apply @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(210,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( cross_product @ SX5 @ SX1 ) @ ( cross_product @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(211,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( member @ SX1 @ universal_class @ SX3 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( member @ ( sum_class @ SX1 ) @ universal_class @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(212,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX5 @ SX1 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(213,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( ordered_pair @ SX5 @ SX1 ) @ ( ordered_pair @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(214,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( image @ SX5 @ SX1 ) @ ( image @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(215,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX1 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(216,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( member @ SX1 @ universal_class @ SX3 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( member @ ( power_class @ SX1 ) @ universal_class @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(217,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( intersection @ SX5 @ SX1 ) @ ( intersection @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(218,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( inductive @ SX1 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( inductive @ SX3 @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(219,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX1 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(220,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ( function @ SX0 @ SX1 ) )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ! [SX2: $i,SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( member @ SX2 @ universal_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( qmltpeq @ SX2 @ null_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( member @ ( apply @ SX0 @ SX2 ) @ SX2 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(221,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( subclass @ ( flip @ SX1 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(222,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX1 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX3 @ SX1 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX1 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX3 @ SX1 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(223,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( qmltpeq @ SX1 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(224,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SX1 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(225,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SX1 @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(226,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( subclass @ SX1 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(227,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ( member @ SX0 @ universal_class @ SX1 ) )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ( inductive @ SX0 @ SX1 ) )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ! [SX2: $i,SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( inductive @ SX2 @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( subclass @ SX0 @ SX2 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(228,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SX1 ) @ ( successor @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(229,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( member @ SX1 @ null_class @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(230,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX5 @ SX1 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(231,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( function @ SX1 @ SX3 ) )
| ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( subclass @ SX1 @ ( cross_product @ universal_class @ universal_class ) @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( subclass @ ( compose @ SX1 @ ( inverse @ SX1 ) ) @ identity_relation @ SX3 ) ) ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( subclass @ SX1 @ ( cross_product @ universal_class @ universal_class ) @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( subclass @ ( compose @ SX1 @ ( inverse @ SX1 ) ) @ identity_relation @ SX3 ) ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( function @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(232,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( disjoint @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( disjoint @ SX1 @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(233,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SX1 @ SX3 ) @ successor_relation @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ universal_class @ SX5 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SX1 ) @ SX3 @ SX5 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ universal_class @ SX5 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SX1 ) @ SX3 @ SX5 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SX1 @ SX3 ) @ successor_relation @ SX5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(234,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX1 @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX1 @ universal_class @ SX7 ) )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX5 @ SX7 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX1 @ universal_class @ SX7 ) )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX5 @ SX7 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX1 @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(235,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( subclass @ element_relation @ ( cross_product @ universal_class @ universal_class ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(236,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( cross_product @ SX1 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX5 @ ( ordered_pair @ ( first @ SX5 ) @ ( second @ SX5 ) ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(237,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
~ ( ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( inductive @ SX1 @ SX3 ) )
| ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( member @ null_class @ SX1 @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( subclass @ ( image @ successor_relation @ SX1 ) @ SX1 @ SX3 ) ) ) )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( member @ null_class @ SX1 @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( subclass @ ( image @ successor_relation @ SX1 ) @ SX1 @ SX3 ) ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( inductive @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(238,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( rotate @ SX1 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX5 @ SX7 ) @ SX3 ) @ SX1 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX5 @ SX7 ) @ SX3 ) @ SX1 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( rotate @ SX1 ) @ SX9 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(239,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( rotate @ SX1 ) @ ( rotate @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(240,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( qmltpeq @ SX1 @ null_class @ SX4 ) ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( member @ SX3 @ universal_class @ SX4 ) )
| ~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( member @ SX3 @ SX1 @ SX4 ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( disjoint @ SX3 @ SX1 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(241,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SX1 @ SX3 ) @ element_relation @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ SX3 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX1 @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SX1 @ SX3 ) @ element_relation @ SX5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(242,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( unordered_pair @ SX5 @ SX1 ) @ ( unordered_pair @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(243,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( subclass @ SX1 @ universal_class @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(244,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( image @ SX1 @ SX5 ) @ ( image @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(245,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( cross_product @ SX1 @ SX5 ) @ ( cross_product @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(246,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX1 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(247,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(248,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( qmltpeq @ ( range_of @ SX1 ) @ ( domain_of @ ( inverse @ SX1 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(249,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( qmltpeq @ ( ordered_pair @ SX1 @ SX3 ) @ ( unordered_pair @ ( singleton @ SX1 ) @ ( unordered_pair @ SX1 @ ( singleton @ SX3 ) ) ) @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(250,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( unordered_pair @ SX1 @ SX5 ) @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(251,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( qmltpeq @ ( image @ SX3 @ SX1 ) @ ( range_of @ ( restrict @ SX3 @ SX1 @ universal_class ) ) @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(252,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX1 @ SX3 ) @ SX5 ) @ ( flip @ SX7 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX1 @ SX3 ) @ SX5 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX1 ) @ SX5 ) @ SX7 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX1 @ SX3 ) @ SX5 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX1 ) @ SX5 ) @ SX7 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX1 @ SX3 ) @ SX5 ) @ ( flip @ SX7 ) @ SX9 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(253,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SX5 @ SX7 ) @ ( compose @ SX3 @ SX1 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX5 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX7 @ ( image @ SX3 @ ( image @ SX3 @ ( singleton @ SX5 ) ) ) @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX5 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX7 @ ( image @ SX3 @ ( image @ SX3 @ ( singleton @ SX5 ) ) ) @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SX5 @ SX7 ) @ ( compose @ SX3 @ SX1 ) @ SX9 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(254,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SX1 @ SX3 ) @ ( cross_product @ SX5 @ SX7 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX1 @ SX5 @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX3 @ SX7 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX1 @ SX5 @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX3 @ SX7 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SX1 @ SX3 ) @ ( cross_product @ SX5 @ SX7 ) @ SX9 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(255,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( sum_class @ SX1 ) @ ( sum_class @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(256,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( intersection @ SX1 @ SX3 ) @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( intersection @ SX1 @ SX3 ) @ SX7 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(257,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( domain_of @ SX1 ) @ ( domain_of @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(258,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( first @ SX1 ) @ ( first @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(259,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( flip @ SX1 ) @ ( flip @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(260,plain,
! [SV1: mworld] :
( ( mrel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(261,plain,
! [SV2: mworld] :
( ( ! [SY0: mworld,SY1: mworld] :
( ~ ( mrel @ SV2 @ SY0 )
| ~ ( mrel @ SY0 @ SY1 )
| ( mrel @ SV2 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(262,plain,
! [SV3: mworld] :
( ( ~ ( mrel @ mactual @ SV3 )
| ! [SY2: $i,SY3: mworld] :
( ~ ( mrel @ SV3 @ SY3 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY3 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY2 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SX5 @ SY2 @ SX7 ) @ ( restrict @ SX5 @ SX3 @ SX7 ) @ SX9 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(263,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ! [SY12: $i,SY13: mworld] :
( ~ ( mrel @ SV4 @ SY13 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY13 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( domain_of @ SY12 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ ( restrict @ SY12 @ ( singleton @ SX3 ) @ universal_class ) @ null_class @ SX6 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY13 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ ( restrict @ SY12 @ ( singleton @ SX3 ) @ universal_class ) @ null_class @ SX6 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( domain_of @ SY12 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(264,plain,
! [SV5: mworld] :
( ( ~ ( mrel @ mactual @ SV5 )
| ! [SY25: $i,SY26: mworld] :
( ~ ( mrel @ SV5 @ SY26 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY26 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY25 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( apply @ SY25 @ SX5 ) @ ( apply @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(265,plain,
! [SV6: mworld] :
( ( ~ ( mrel @ mactual @ SV6 )
| ! [SY33: $i,SY34: mworld] :
( ~ ( mrel @ SV6 @ SY34 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY34 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY33 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SY33 @ SX5 @ SX7 ) @ ( restrict @ SX3 @ SX5 @ SX7 ) @ SX9 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(266,plain,
! [SV7: mworld] :
( ( ~ ( mrel @ mactual @ SV7 )
| ! [SY43: $i,SY44: mworld] :
( ~ ( mrel @ SV7 @ SY44 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY44 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY43 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( compose @ SX5 @ SY43 ) @ ( compose @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(267,plain,
! [SV8: mworld] :
( ( ~ ( mrel @ mactual @ SV8 )
| ! [SY51: $i,SY52: mworld] :
( ~ ( mrel @ SV8 @ SY52 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY52 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY51 @ ( sum_class @ SX3 ) @ SX5 ) )
| ~ ! [SX5: $i] :
~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SY51 @ SX5 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SX5 @ SX3 @ SX6 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY52 @ SX4 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SY51 @ SX5 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SX5 @ SX3 @ SX6 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY51 @ ( sum_class @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(268,plain,
! [SV9: mworld] :
( ( ~ ( mrel @ mactual @ SV9 )
| ! [SY64: $i,SY65: mworld] :
( ~ ( mrel @ SV9 @ SY65 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY65 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY64 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( complement @ SY64 ) @ ( complement @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(269,plain,
! [SV10: mworld] :
( ( ~ ( mrel @ mactual @ SV10 )
| ! [SY70: $i,SY71: mworld] :
( ~ ( mrel @ SV10 @ SY71 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY71 @ SX4 )
| ( qmltpeq @ ( apply @ SY70 @ SX3 ) @ ( sum_class @ ( image @ SY70 @ ( singleton @ SX3 ) ) ) @ SX4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(270,plain,
! [SV11: mworld] :
( ( ~ ( mrel @ mactual @ SV11 )
| ! [SY74: $i,SY75: mworld] :
( ~ ( mrel @ SV11 @ SY75 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY75 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( qmltpeq @ ( restrict @ SX3 @ SY74 @ SX5 ) @ ( intersection @ SX3 @ ( cross_product @ SY74 @ SX5 ) ) @ SX6 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(271,plain,
! [SV12: mworld] :
( ( ~ ( mrel @ mactual @ SV12 )
| ! [SY80: $i,SY81: mworld] :
( ~ ( mrel @ SV12 @ SY81 )
| ( qmltpeq @ ( singleton @ SY80 ) @ ( unordered_pair @ SY80 @ SY80 ) @ SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(272,plain,
! [SV13: mworld] :
( ( ~ ( mrel @ mactual @ SV13 )
| ! [SY82: $i,SY83: mworld] :
( ~ ( mrel @ SV13 @ SY83 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY83 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY82 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SY82 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(273,plain,
! [SV14: mworld] :
( ( ~ ( mrel @ mactual @ SV14 )
| ! [SY90: $i,SY91: mworld] :
( ~ ( mrel @ SV14 @ SY91 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY91 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY90 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( power_class @ SY90 ) @ ( power_class @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(274,plain,
! [SV15: mworld] :
( ( ~ ( mrel @ mactual @ SV15 )
| ! [SY96: $i,SY97: mworld] :
( ~ ( mrel @ SV15 @ SY97 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY97 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY96 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( image @ SX3 @ SY96 ) @ universal_class @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(275,plain,
! [SV16: mworld] :
( ( ~ ( mrel @ mactual @ SV16 )
| ! [SY103: $i,SY104: mworld] :
( ~ ( mrel @ SV16 @ SY104 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY104 @ SX4 )
| ( member @ ( unordered_pair @ SY103 @ SX3 ) @ universal_class @ SX4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(276,plain,
! [SV17: mworld] :
( ( ~ ( mrel @ mactual @ SV17 )
| ! [SY107: $i,SY108: mworld] :
( ~ ( mrel @ SV17 @ SY108 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY108 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY107 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( range_of @ SY107 ) @ ( range_of @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(277,plain,
! [SV18: mworld] :
( ( ~ ( mrel @ mactual @ SV18 )
| ! [SY113: $i,SY114: mworld] :
( ~ ( mrel @ SV18 @ SY114 )
| ( qmltpeq @ ( inverse @ SY113 ) @ ( domain_of @ ( flip @ ( cross_product @ SY113 @ universal_class ) ) ) @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(278,plain,
! [SV19: mworld] :
( ( ~ ( mrel @ mactual @ SV19 )
| ! [SY115: $i,SY116: mworld] :
( ~ ( mrel @ SV19 @ SY116 )
| ( subclass @ ( rotate @ SY115 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(279,plain,
! [SV20: mworld] :
( ( ~ ( mrel @ mactual @ SV20 )
| ! [SY117: $i,SY118: mworld] :
( ~ ( mrel @ SV20 @ SY118 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY118 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY117 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY117 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY117 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY117 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(280,plain,
! [SV21: mworld] :
( ( ~ ( mrel @ mactual @ SV21 )
| ! [SY130: $i,SY131: mworld] :
( ~ ( mrel @ SV21 @ SY131 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY131 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY130 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SX5 @ SX7 @ SY130 ) @ ( restrict @ SX5 @ SX7 @ SX3 ) @ SX9 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(281,plain,
! [SV22: mworld] :
( ( ~ ( mrel @ mactual @ SV22 )
| ! [SY140: $i,SY141: mworld] :
( ~ ( mrel @ SV22 @ SY141 )
| ( qmltpeq @ ( successor @ SY140 ) @ ( union @ SY140 @ ( singleton @ SY140 ) ) @ SY141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(282,plain,
! [SV23: mworld] :
( ( ~ ( mrel @ mactual @ SV23 )
| ! [SY142: $i,SY143: mworld] :
( ~ ( mrel @ SV23 @ SY143 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY143 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ ( power_class @ SX3 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY142 @ SX3 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY143 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY142 @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ ( power_class @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(283,plain,
! [SV24: mworld] :
( ( ~ ( mrel @ mactual @ SV24 )
| ! [SY153: $i,SY154: mworld] :
( ~ ( mrel @ SV24 @ SY154 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY154 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY153 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( ordered_pair @ SY153 @ SX5 ) @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(284,plain,
! [SV25: mworld] :
( ( ~ ( mrel @ mactual @ SV25 )
| ! [SY161: $i,SY162: mworld] :
( ~ ( mrel @ SV25 @ SY162 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY162 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY161 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SY161 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX3 @ SX5 @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(285,plain,
! [SV26: mworld] :
( ( ~ ( mrel @ mactual @ SV26 )
| ! [SY170: $i,SY171: mworld] :
( ~ ( mrel @ SV26 @ SY171 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY171 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( complement @ SY170 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( member @ SX3 @ SY170 @ SX6 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY171 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( member @ SX3 @ SY170 @ SX6 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( complement @ SY170 ) @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(286,plain,
! [SV27: mworld] :
( ( ~ ( mrel @ mactual @ SV27 )
| ! [SY183: $i,SY184: mworld] :
( ~ ( mrel @ SV27 @ SY184 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY184 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY183 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( intersection @ SY183 @ SX5 ) @ ( intersection @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(287,plain,
! [SV28: mworld] :
( ( ~ ( mrel @ mactual @ SV28 )
| ! [SY191: $i,SY192: mworld] :
( ~ ( mrel @ SV28 @ SY192 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY192 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY191 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( compose @ SY191 @ SX5 ) @ ( compose @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(288,plain,
! [SV29: mworld] :
( ( ~ ( mrel @ mactual @ SV29 )
| ( subclass @ successor_relation @ ( cross_product @ universal_class @ universal_class ) @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(289,plain,
! [SV30: mworld] :
( ( ~ ( mrel @ mactual @ SV30 )
| ! [SY199: $i,SY200: mworld] :
( ~ ( mrel @ SV30 @ SY200 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY200 @ SX4 )
| ( subclass @ ( compose @ SX3 @ SY199 ) @ ( cross_product @ universal_class @ universal_class ) @ SX4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(290,plain,
! [SV31: mworld] :
( ( ~ ( mrel @ mactual @ SV31 )
| ! [SY203: $i,SY204: mworld] :
( ~ ( mrel @ SV31 @ SY204 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY204 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY203 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( inverse @ SY203 ) @ ( inverse @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(291,plain,
! [SV32: mworld] :
( ( ~ ( mrel @ mactual @ SV32 )
| ! [SY209: $i,SY210: mworld] :
( ~ ( mrel @ SV32 @ SY210 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY210 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY209 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY209 @ SX5 @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(292,plain,
! [SV33: mworld] :
( ( ~ ( mrel @ mactual @ SV33 )
| ! [SY218: $i,SY219: mworld] :
( ~ ( mrel @ SV33 @ SY219 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY219 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY218 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY218 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY219 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY218 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY218 @ SX3 @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(293,plain,
! [SV34: mworld] :
( ( ~ ( mrel @ mactual @ SV34 )
| ! [SY235: $i,SY236: mworld] :
( ~ ( mrel @ SV34 @ SY236 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY236 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY235 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SY235 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SX3 @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(294,plain,
! [SV35: mworld] :
( ( ~ ( mrel @ mactual @ SV35 )
| ! [SY242: $i,SY243: mworld] :
( ~ ( mrel @ SV35 @ SY243 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY243 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY242 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( second @ SY242 ) @ ( second @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(295,plain,
! [SV36: mworld] :
( ( ~ ( mrel @ mactual @ SV36 )
| ! [SY248: $i,SY249: mworld] :
( ~ ( mrel @ SV36 @ SY249 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY249 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY248 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( apply @ SX5 @ SY248 ) @ ( apply @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(296,plain,
! [SV37: mworld] :
( ( ~ ( mrel @ mactual @ SV37 )
| ! [SY256: $i,SY257: mworld] :
( ~ ( mrel @ SV37 @ SY257 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY257 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY256 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( cross_product @ SX5 @ SY256 ) @ ( cross_product @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(297,plain,
! [SV38: mworld] :
( ( ~ ( mrel @ mactual @ SV38 )
| ! [SY264: $i,SY265: mworld] :
( ~ ( mrel @ SV38 @ SY265 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY265 @ SX3 )
| ( member @ SY264 @ universal_class @ SX3 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY265 @ SX3 )
| ( member @ ( sum_class @ SY264 ) @ universal_class @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(298,plain,
! [SV39: mworld] :
( ( ~ ( mrel @ mactual @ SV39 )
| ! [SY268: $i,SY269: mworld] :
( ~ ( mrel @ SV39 @ SY269 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY269 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY268 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX5 @ SY268 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX5 @ SX3 @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(299,plain,
! [SV40: mworld] :
( ( ~ ( mrel @ mactual @ SV40 )
| ! [SY277: $i,SY278: mworld] :
( ~ ( mrel @ SV40 @ SY278 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY278 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY277 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( ordered_pair @ SX5 @ SY277 ) @ ( ordered_pair @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(300,plain,
! [SV41: mworld] :
( ( ~ ( mrel @ mactual @ SV41 )
| ! [SY285: $i,SY286: mworld] :
( ~ ( mrel @ SV41 @ SY286 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY286 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY285 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( image @ SX5 @ SY285 ) @ ( image @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(301,plain,
! [SV42: mworld] :
( ( ~ ( mrel @ mactual @ SV42 )
| ! [SY293: $i,SY294: mworld] :
( ~ ( mrel @ SV42 @ SY294 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY294 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY293 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY293 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(302,plain,
! [SV43: mworld] :
( ( ~ ( mrel @ mactual @ SV43 )
| ! [SY302: $i,SY303: mworld] :
( ~ ( mrel @ SV43 @ SY303 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY303 @ SX3 )
| ( member @ SY302 @ universal_class @ SX3 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY303 @ SX3 )
| ( member @ ( power_class @ SY302 ) @ universal_class @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(303,plain,
! [SV44: mworld] :
( ( ~ ( mrel @ mactual @ SV44 )
| ! [SY306: $i,SY307: mworld] :
( ~ ( mrel @ SV44 @ SY307 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY307 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY306 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( intersection @ SX5 @ SY306 ) @ ( intersection @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(304,plain,
! [SV45: mworld] :
( ( ~ ( mrel @ mactual @ SV45 )
| ! [SY314: $i,SY315: mworld] :
( ~ ( mrel @ SV45 @ SY315 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY315 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY314 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( inductive @ SY314 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( inductive @ SX3 @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(305,plain,
! [SV46: mworld] :
( ( ~ ( mrel @ mactual @ SV46 )
| ! [SY321: $i,SY322: mworld] :
( ~ ( mrel @ SV46 @ SY322 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY322 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY321 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SY321 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX3 @ SX5 @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(306,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ( function @ SX0 @ SX1 ) )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ! [SX2: $i,SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( member @ SX2 @ universal_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( qmltpeq @ SX2 @ null_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( member @ ( apply @ SX0 @ SX2 ) @ SX2 @ SX4 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(307,plain,
! [SV47: mworld] :
( ( ~ ( mrel @ mactual @ SV47 )
| ! [SY330: $i,SY331: mworld] :
( ~ ( mrel @ SV47 @ SY331 )
| ( subclass @ ( flip @ SY330 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(308,plain,
! [SV48: mworld] :
( ( ~ ( mrel @ mactual @ SV48 )
| ! [SY332: $i,SY333: mworld] :
( ~ ( mrel @ SV48 @ SY333 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY333 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY332 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY332 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX3 @ SY332 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY333 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY332 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX3 @ SY332 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY332 @ SX3 @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(309,plain,
! [SV49: mworld] :
( ( ~ ( mrel @ mactual @ SV49 )
| ! [SY343: $i,SY344: mworld] :
( ~ ( mrel @ SV49 @ SY344 )
| ( qmltpeq @ SY343 @ SY343 @ SY344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(310,plain,
! [SV50: mworld] :
( ( ~ ( mrel @ mactual @ SV50 )
| ! [SY345: $i,SY346: mworld] :
( ~ ( mrel @ SV50 @ SY346 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY346 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY345 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SY345 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(311,plain,
! [SV51: mworld] :
( ( ~ ( mrel @ mactual @ SV51 )
| ! [SY351: $i,SY352: mworld] :
( ~ ( mrel @ SV51 @ SY352 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY352 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY351 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY351 @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(312,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( subclass @ SX1 @ SX1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(313,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ( member @ SX0 @ universal_class @ SX1 ) )
| ~ ~ ( ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ( inductive @ SX0 @ SX1 ) )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ! [SX2: $i,SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( inductive @ SX2 @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( subclass @ SX0 @ SX2 @ SX4 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(314,plain,
! [SV52: mworld] :
( ( ~ ( mrel @ mactual @ SV52 )
| ! [SY357: $i,SY358: mworld] :
( ~ ( mrel @ SV52 @ SY358 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY358 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY357 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SY357 ) @ ( successor @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(315,plain,
! [SV53: mworld] :
( ( ~ ( mrel @ mactual @ SV53 )
| ! [SY363: $i,SY364: mworld] :
( ~ ( mrel @ SV53 @ SY364 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY364 @ SX3 )
| ( member @ SY363 @ null_class @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(316,plain,
! [SV54: mworld] :
( ( ~ ( mrel @ mactual @ SV54 )
| ! [SY366: $i,SY367: mworld] :
( ~ ( mrel @ SV54 @ SY367 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY367 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY366 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX5 @ SY366 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX5 @ SX3 @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(317,plain,
! [SV55: mworld] :
( ( ~ ( mrel @ mactual @ SV55 )
| ! [SY375: $i] :
~ ( ~ ! [SY376: mworld] :
( ~ ( mrel @ SV55 @ SY376 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY376 @ SX3 )
| ( function @ SY375 @ SX3 ) )
| ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY376 @ SX3 )
| ( subclass @ SY375 @ ( cross_product @ universal_class @ universal_class ) @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY376 @ SX3 )
| ( subclass @ ( compose @ SY375 @ ( inverse @ SY375 ) ) @ identity_relation @ SX3 ) ) ) )
| ~ ! [SY380: mworld] :
( ~ ( mrel @ SV55 @ SY380 )
| ~ ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY380 @ SX3 )
| ( subclass @ SY375 @ ( cross_product @ universal_class @ universal_class ) @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY380 @ SX3 )
| ( subclass @ ( compose @ SY375 @ ( inverse @ SY375 ) ) @ identity_relation @ SX3 ) ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY380 @ SX3 )
| ( function @ SY375 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(318,plain,
! [SV56: mworld] :
( ( ~ ( mrel @ mactual @ SV56 )
| ! [SY384: $i,SY385: mworld] :
( ~ ( mrel @ SV56 @ SY385 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY385 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( disjoint @ SY384 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY384 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY385 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY384 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( disjoint @ SY384 @ SX3 @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(319,plain,
! [SV57: mworld] :
( ( ~ ( mrel @ mactual @ SV57 )
| ! [SY401: $i,SY402: mworld] :
( ~ ( mrel @ SV57 @ SY402 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY402 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY401 @ SX3 ) @ successor_relation @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY401 @ universal_class @ SX5 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SY401 ) @ SX3 @ SX5 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY402 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY401 @ universal_class @ SX5 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SY401 ) @ SX3 @ SX5 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY401 @ SX3 ) @ successor_relation @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(320,plain,
! [SV58: mworld] :
( ( ~ ( mrel @ mactual @ SV58 )
| ! [SY414: $i,SY415: mworld] :
( ~ ( mrel @ SV58 @ SY415 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY415 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ universal_class @ SX7 ) )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX5 @ SX7 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ universal_class @ SX7 ) )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX5 @ SX7 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(321,plain,
! [SV59: mworld] :
( ( ~ ( mrel @ mactual @ SV59 )
| ( subclass @ element_relation @ ( cross_product @ universal_class @ universal_class ) @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(322,plain,
! [SV60: mworld] :
( ( ~ ( mrel @ mactual @ SV60 )
| ! [SY429: $i,SY430: mworld] :
( ~ ( mrel @ SV60 @ SY430 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY430 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( cross_product @ SY429 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX5 @ ( ordered_pair @ ( first @ SX5 ) @ ( second @ SX5 ) ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(323,plain,
! [SV61: mworld] :
( ( ~ ( mrel @ mactual @ SV61 )
| ! [SY437: $i] :
~ ( ~ ! [SY438: mworld] :
( ~ ( mrel @ SV61 @ SY438 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY438 @ SX3 )
| ( inductive @ SY437 @ SX3 ) )
| ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY438 @ SX3 )
| ( member @ null_class @ SY437 @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY438 @ SX3 )
| ( subclass @ ( image @ successor_relation @ SY437 ) @ SY437 @ SX3 ) ) ) )
| ~ ! [SY442: mworld] :
( ~ ( mrel @ SV61 @ SY442 )
| ~ ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY442 @ SX3 )
| ( member @ null_class @ SY437 @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY442 @ SX3 )
| ( subclass @ ( image @ successor_relation @ SY437 ) @ SY437 @ SX3 ) ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY442 @ SX3 )
| ( inductive @ SY437 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(324,plain,
! [SV62: mworld] :
( ( ~ ( mrel @ mactual @ SV62 )
| ! [SY446: $i,SY447: mworld] :
( ~ ( mrel @ SV62 @ SY447 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY447 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( rotate @ SY446 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX5 @ SX7 ) @ SX3 ) @ SY446 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX5 @ SX7 ) @ SX3 ) @ SY446 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( rotate @ SY446 ) @ SX9 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(325,plain,
! [SV63: mworld] :
( ( ~ ( mrel @ mactual @ SV63 )
| ! [SY461: $i,SY462: mworld] :
( ~ ( mrel @ SV63 @ SY462 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY462 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY461 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( rotate @ SY461 ) @ ( rotate @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(326,plain,
! [SV64: mworld] :
( ( ~ ( mrel @ mactual @ SV64 )
| ! [SY467: $i,SY468: mworld] :
( ~ ( mrel @ SV64 @ SY468 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY468 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( qmltpeq @ SY467 @ null_class @ SX4 ) ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY468 @ SX4 )
| ( member @ SX3 @ universal_class @ SX4 ) )
| ~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY468 @ SX4 )
| ( member @ SX3 @ SY467 @ SX4 ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY468 @ SX4 )
| ( disjoint @ SX3 @ SY467 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(327,plain,
! [SV65: mworld] :
( ( ~ ( mrel @ mactual @ SV65 )
| ! [SY475: $i,SY476: mworld] :
( ~ ( mrel @ SV65 @ SY476 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY476 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY475 @ SX3 ) @ element_relation @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY475 @ SX3 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY476 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY475 @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY475 @ SX3 ) @ element_relation @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(328,plain,
! [SV66: mworld] :
( ( ~ ( mrel @ mactual @ SV66 )
| ! [SY486: $i,SY487: mworld] :
( ~ ( mrel @ SV66 @ SY487 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY487 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY486 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( unordered_pair @ SX5 @ SY486 ) @ ( unordered_pair @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(329,plain,
! [SV67: mworld] :
( ( ~ ( mrel @ mactual @ SV67 )
| ! [SY494: $i,SY495: mworld] :
( ~ ( mrel @ SV67 @ SY495 )
| ( subclass @ SY494 @ universal_class @ SY495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(330,plain,
! [SV68: mworld] :
( ( ~ ( mrel @ mactual @ SV68 )
| ! [SY496: $i,SY497: mworld] :
( ~ ( mrel @ SV68 @ SY497 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY497 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY496 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( image @ SY496 @ SX5 ) @ ( image @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(331,plain,
! [SV69: mworld] :
( ( ~ ( mrel @ mactual @ SV69 )
| ! [SY504: $i,SY505: mworld] :
( ~ ( mrel @ SV69 @ SY505 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY505 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY504 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( cross_product @ SY504 @ SX5 ) @ ( cross_product @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(332,plain,
! [SV70: mworld] :
( ( ~ ( mrel @ mactual @ SV70 )
| ! [SY512: $i,SY513: mworld] :
( ~ ( mrel @ SV70 @ SY513 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY513 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY512 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SY512 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(333,plain,
! [SV71: mworld] :
( ( ~ ( mrel @ mactual @ SV71 )
| ! [SY520: $i,SY521: mworld] :
( ~ ( mrel @ SV71 @ SY521 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY521 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY520 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY520 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(334,plain,
! [SV72: mworld] :
( ( ~ ( mrel @ mactual @ SV72 )
| ! [SY529: $i,SY530: mworld] :
( ~ ( mrel @ SV72 @ SY530 )
| ( qmltpeq @ ( range_of @ SY529 ) @ ( domain_of @ ( inverse @ SY529 ) ) @ SY530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(335,plain,
! [SV73: mworld] :
( ( ~ ( mrel @ mactual @ SV73 )
| ! [SY531: $i,SY532: mworld] :
( ~ ( mrel @ SV73 @ SY532 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY532 @ SX4 )
| ( qmltpeq @ ( ordered_pair @ SY531 @ SX3 ) @ ( unordered_pair @ ( singleton @ SY531 ) @ ( unordered_pair @ SY531 @ ( singleton @ SX3 ) ) ) @ SX4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(336,plain,
! [SV74: mworld] :
( ( ~ ( mrel @ mactual @ SV74 )
| ! [SY535: $i,SY536: mworld] :
( ~ ( mrel @ SV74 @ SY536 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY536 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY535 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( unordered_pair @ SY535 @ SX5 ) @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(337,plain,
! [SV75: mworld] :
( ( ~ ( mrel @ mactual @ SV75 )
| ! [SY543: $i,SY544: mworld] :
( ~ ( mrel @ SV75 @ SY544 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY544 @ SX4 )
| ( qmltpeq @ ( image @ SX3 @ SY543 ) @ ( range_of @ ( restrict @ SX3 @ SY543 @ universal_class ) ) @ SX4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(338,plain,
! [SV76: mworld] :
( ( ~ ( mrel @ mactual @ SV76 )
| ! [SY547: $i,SY548: mworld] :
( ~ ( mrel @ SV76 @ SY548 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY548 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( flip @ SX7 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SY547 ) @ SX5 ) @ SX7 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SY547 ) @ SX5 ) @ SX7 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( flip @ SX7 ) @ SX9 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(339,plain,
! [SV77: mworld] :
( ( ~ ( mrel @ mactual @ SV77 )
| ! [SY562: $i,SY563: mworld] :
( ~ ( mrel @ SV77 @ SY563 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY563 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SX5 @ SX7 ) @ ( compose @ SX3 @ SY562 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX5 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX7 @ ( image @ SX3 @ ( image @ SX3 @ ( singleton @ SX5 ) ) ) @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX5 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX7 @ ( image @ SX3 @ ( image @ SX3 @ ( singleton @ SX5 ) ) ) @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SX5 @ SX7 ) @ ( compose @ SX3 @ SY562 ) @ SX9 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(340,plain,
! [SV78: mworld] :
( ( ~ ( mrel @ mactual @ SV78 )
| ! [SY577: $i,SY578: mworld] :
( ~ ( mrel @ SV78 @ SY578 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY578 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SY577 @ SX3 ) @ ( cross_product @ SX5 @ SX7 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SY577 @ SX5 @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX3 @ SX7 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SY577 @ SX5 @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX3 @ SX7 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SY577 @ SX3 ) @ ( cross_product @ SX5 @ SX7 ) @ SX9 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(341,plain,
! [SV79: mworld] :
( ( ~ ( mrel @ mactual @ SV79 )
| ! [SY592: $i,SY593: mworld] :
( ~ ( mrel @ SV79 @ SY593 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY593 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY592 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( sum_class @ SY592 ) @ ( sum_class @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(342,plain,
! [SV80: mworld] :
( ( ~ ( mrel @ mactual @ SV80 )
| ! [SY598: $i,SY599: mworld] :
( ~ ( mrel @ SV80 @ SY599 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY599 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( intersection @ SY598 @ SX3 ) @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY598 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY598 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( intersection @ SY598 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(343,plain,
! [SV81: mworld] :
( ( ~ ( mrel @ mactual @ SV81 )
| ! [SY611: $i,SY612: mworld] :
( ~ ( mrel @ SV81 @ SY612 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY612 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY611 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( domain_of @ SY611 ) @ ( domain_of @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(344,plain,
! [SV82: mworld] :
( ( ~ ( mrel @ mactual @ SV82 )
| ! [SY617: $i,SY618: mworld] :
( ~ ( mrel @ SV82 @ SY618 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY618 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY617 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( first @ SY617 ) @ ( first @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(345,plain,
! [SV83: mworld] :
( ( ~ ( mrel @ mactual @ SV83 )
| ! [SY623: $i,SY624: mworld] :
( ~ ( mrel @ SV83 @ SY624 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY624 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY623 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( flip @ SY623 ) @ ( flip @ SX3 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(346,plain,
! [SV84: mworld,SV2: mworld] :
( ( ! [SY629: mworld] :
( ~ ( mrel @ SV2 @ SV84 )
| ~ ( mrel @ SV84 @ SY629 )
| ( mrel @ SV2 @ SY629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(347,plain,
! [SV3: mworld] :
( ( ( ~ ( mrel @ mactual @ SV3 ) )
= $true )
| ( ( ! [SY2: $i,SY3: mworld] :
( ~ ( mrel @ SV3 @ SY3 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY3 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY2 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SX5 @ SY2 @ SX7 ) @ ( restrict @ SX5 @ SX3 @ SX7 ) @ SX9 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(348,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ! [SY12: $i,SY13: mworld] :
( ~ ( mrel @ SV4 @ SY13 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY13 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( domain_of @ SY12 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ ( restrict @ SY12 @ ( singleton @ SX3 ) @ universal_class ) @ null_class @ SX6 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY13 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ ( restrict @ SY12 @ ( singleton @ SX3 ) @ universal_class ) @ null_class @ SX6 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( domain_of @ SY12 ) @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(349,plain,
! [SV5: mworld] :
( ( ( ~ ( mrel @ mactual @ SV5 ) )
= $true )
| ( ( ! [SY25: $i,SY26: mworld] :
( ~ ( mrel @ SV5 @ SY26 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY26 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY25 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( apply @ SY25 @ SX5 ) @ ( apply @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(350,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ mactual @ SV6 ) )
= $true )
| ( ( ! [SY33: $i,SY34: mworld] :
( ~ ( mrel @ SV6 @ SY34 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY34 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY33 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SY33 @ SX5 @ SX7 ) @ ( restrict @ SX3 @ SX5 @ SX7 ) @ SX9 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(351,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ SV7 ) )
= $true )
| ( ( ! [SY43: $i,SY44: mworld] :
( ~ ( mrel @ SV7 @ SY44 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY44 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY43 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( compose @ SX5 @ SY43 ) @ ( compose @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(352,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ! [SY51: $i,SY52: mworld] :
( ~ ( mrel @ SV8 @ SY52 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY52 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY51 @ ( sum_class @ SX3 ) @ SX5 ) )
| ~ ! [SX5: $i] :
~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SY51 @ SX5 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SX5 @ SX3 @ SX6 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY52 @ SX4 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SY51 @ SX5 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SX5 @ SX3 @ SX6 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY51 @ ( sum_class @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(353,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ mactual @ SV9 ) )
= $true )
| ( ( ! [SY64: $i,SY65: mworld] :
( ~ ( mrel @ SV9 @ SY65 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY65 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY64 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( complement @ SY64 ) @ ( complement @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(354,plain,
! [SV10: mworld] :
( ( ( ~ ( mrel @ mactual @ SV10 ) )
= $true )
| ( ( ! [SY70: $i,SY71: mworld] :
( ~ ( mrel @ SV10 @ SY71 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY71 @ SX4 )
| ( qmltpeq @ ( apply @ SY70 @ SX3 ) @ ( sum_class @ ( image @ SY70 @ ( singleton @ SX3 ) ) ) @ SX4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(355,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ SV11 ) )
= $true )
| ( ( ! [SY74: $i,SY75: mworld] :
( ~ ( mrel @ SV11 @ SY75 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY75 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( qmltpeq @ ( restrict @ SX3 @ SY74 @ SX5 ) @ ( intersection @ SX3 @ ( cross_product @ SY74 @ SX5 ) ) @ SX6 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(356,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ mactual @ SV12 ) )
= $true )
| ( ( ! [SY80: $i,SY81: mworld] :
( ~ ( mrel @ SV12 @ SY81 )
| ( qmltpeq @ ( singleton @ SY80 ) @ ( unordered_pair @ SY80 @ SY80 ) @ SY81 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(357,plain,
! [SV13: mworld] :
( ( ( ~ ( mrel @ mactual @ SV13 ) )
= $true )
| ( ( ! [SY82: $i,SY83: mworld] :
( ~ ( mrel @ SV13 @ SY83 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY83 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY82 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SY82 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(358,plain,
! [SV14: mworld] :
( ( ( ~ ( mrel @ mactual @ SV14 ) )
= $true )
| ( ( ! [SY90: $i,SY91: mworld] :
( ~ ( mrel @ SV14 @ SY91 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY91 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY90 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( power_class @ SY90 ) @ ( power_class @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(359,plain,
! [SV15: mworld] :
( ( ( ~ ( mrel @ mactual @ SV15 ) )
= $true )
| ( ( ! [SY96: $i,SY97: mworld] :
( ~ ( mrel @ SV15 @ SY97 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY97 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY96 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( image @ SX3 @ SY96 ) @ universal_class @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(360,plain,
! [SV16: mworld] :
( ( ( ~ ( mrel @ mactual @ SV16 ) )
= $true )
| ( ( ! [SY103: $i,SY104: mworld] :
( ~ ( mrel @ SV16 @ SY104 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY104 @ SX4 )
| ( member @ ( unordered_pair @ SY103 @ SX3 ) @ universal_class @ SX4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(361,plain,
! [SV17: mworld] :
( ( ( ~ ( mrel @ mactual @ SV17 ) )
= $true )
| ( ( ! [SY107: $i,SY108: mworld] :
( ~ ( mrel @ SV17 @ SY108 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY108 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY107 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( range_of @ SY107 ) @ ( range_of @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(362,plain,
! [SV18: mworld] :
( ( ( ~ ( mrel @ mactual @ SV18 ) )
= $true )
| ( ( ! [SY113: $i,SY114: mworld] :
( ~ ( mrel @ SV18 @ SY114 )
| ( qmltpeq @ ( inverse @ SY113 ) @ ( domain_of @ ( flip @ ( cross_product @ SY113 @ universal_class ) ) ) @ SY114 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(363,plain,
! [SV19: mworld] :
( ( ( ~ ( mrel @ mactual @ SV19 ) )
= $true )
| ( ( ! [SY115: $i,SY116: mworld] :
( ~ ( mrel @ SV19 @ SY116 )
| ( subclass @ ( rotate @ SY115 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY116 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(364,plain,
! [SV20: mworld] :
( ( ( ~ ( mrel @ mactual @ SV20 ) )
= $true )
| ( ( ! [SY117: $i,SY118: mworld] :
( ~ ( mrel @ SV20 @ SY118 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY118 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY117 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY117 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY117 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY117 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(365,plain,
! [SV21: mworld] :
( ( ( ~ ( mrel @ mactual @ SV21 ) )
= $true )
| ( ( ! [SY130: $i,SY131: mworld] :
( ~ ( mrel @ SV21 @ SY131 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY131 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY130 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SX5 @ SX7 @ SY130 ) @ ( restrict @ SX5 @ SX7 @ SX3 ) @ SX9 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(366,plain,
! [SV22: mworld] :
( ( ( ~ ( mrel @ mactual @ SV22 ) )
= $true )
| ( ( ! [SY140: $i,SY141: mworld] :
( ~ ( mrel @ SV22 @ SY141 )
| ( qmltpeq @ ( successor @ SY140 ) @ ( union @ SY140 @ ( singleton @ SY140 ) ) @ SY141 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(367,plain,
! [SV23: mworld] :
( ( ( ~ ( mrel @ mactual @ SV23 ) )
= $true )
| ( ( ! [SY142: $i,SY143: mworld] :
( ~ ( mrel @ SV23 @ SY143 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY143 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ ( power_class @ SX3 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY142 @ SX3 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY143 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY142 @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ ( power_class @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(368,plain,
! [SV24: mworld] :
( ( ( ~ ( mrel @ mactual @ SV24 ) )
= $true )
| ( ( ! [SY153: $i,SY154: mworld] :
( ~ ( mrel @ SV24 @ SY154 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY154 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY153 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( ordered_pair @ SY153 @ SX5 ) @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(369,plain,
! [SV25: mworld] :
( ( ( ~ ( mrel @ mactual @ SV25 ) )
= $true )
| ( ( ! [SY161: $i,SY162: mworld] :
( ~ ( mrel @ SV25 @ SY162 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY162 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY161 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SY161 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX3 @ SX5 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(370,plain,
! [SV26: mworld] :
( ( ( ~ ( mrel @ mactual @ SV26 ) )
= $true )
| ( ( ! [SY170: $i,SY171: mworld] :
( ~ ( mrel @ SV26 @ SY171 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY171 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( complement @ SY170 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( member @ SX3 @ SY170 @ SX6 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY171 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( member @ SX3 @ SY170 @ SX6 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( complement @ SY170 ) @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(371,plain,
! [SV27: mworld] :
( ( ( ~ ( mrel @ mactual @ SV27 ) )
= $true )
| ( ( ! [SY183: $i,SY184: mworld] :
( ~ ( mrel @ SV27 @ SY184 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY184 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY183 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( intersection @ SY183 @ SX5 ) @ ( intersection @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(372,plain,
! [SV28: mworld] :
( ( ( ~ ( mrel @ mactual @ SV28 ) )
= $true )
| ( ( ! [SY191: $i,SY192: mworld] :
( ~ ( mrel @ SV28 @ SY192 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY192 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY191 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( compose @ SY191 @ SX5 ) @ ( compose @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(373,plain,
! [SV29: mworld] :
( ( ( ~ ( mrel @ mactual @ SV29 ) )
= $true )
| ( ( subclass @ successor_relation @ ( cross_product @ universal_class @ universal_class ) @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(374,plain,
! [SV30: mworld] :
( ( ( ~ ( mrel @ mactual @ SV30 ) )
= $true )
| ( ( ! [SY199: $i,SY200: mworld] :
( ~ ( mrel @ SV30 @ SY200 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY200 @ SX4 )
| ( subclass @ ( compose @ SX3 @ SY199 ) @ ( cross_product @ universal_class @ universal_class ) @ SX4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(375,plain,
! [SV31: mworld] :
( ( ( ~ ( mrel @ mactual @ SV31 ) )
= $true )
| ( ( ! [SY203: $i,SY204: mworld] :
( ~ ( mrel @ SV31 @ SY204 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY204 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY203 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( inverse @ SY203 ) @ ( inverse @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(376,plain,
! [SV32: mworld] :
( ( ( ~ ( mrel @ mactual @ SV32 ) )
= $true )
| ( ( ! [SY209: $i,SY210: mworld] :
( ~ ( mrel @ SV32 @ SY210 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY210 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY209 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY209 @ SX5 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(377,plain,
! [SV33: mworld] :
( ( ( ~ ( mrel @ mactual @ SV33 ) )
= $true )
| ( ( ! [SY218: $i,SY219: mworld] :
( ~ ( mrel @ SV33 @ SY219 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY219 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY218 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY218 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY219 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY218 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY218 @ SX3 @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(378,plain,
! [SV34: mworld] :
( ( ( ~ ( mrel @ mactual @ SV34 ) )
= $true )
| ( ( ! [SY235: $i,SY236: mworld] :
( ~ ( mrel @ SV34 @ SY236 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY236 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY235 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SY235 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SX3 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(379,plain,
! [SV35: mworld] :
( ( ( ~ ( mrel @ mactual @ SV35 ) )
= $true )
| ( ( ! [SY242: $i,SY243: mworld] :
( ~ ( mrel @ SV35 @ SY243 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY243 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY242 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( second @ SY242 ) @ ( second @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(380,plain,
! [SV36: mworld] :
( ( ( ~ ( mrel @ mactual @ SV36 ) )
= $true )
| ( ( ! [SY248: $i,SY249: mworld] :
( ~ ( mrel @ SV36 @ SY249 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY249 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY248 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( apply @ SX5 @ SY248 ) @ ( apply @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(381,plain,
! [SV37: mworld] :
( ( ( ~ ( mrel @ mactual @ SV37 ) )
= $true )
| ( ( ! [SY256: $i,SY257: mworld] :
( ~ ( mrel @ SV37 @ SY257 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY257 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY256 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( cross_product @ SX5 @ SY256 ) @ ( cross_product @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(382,plain,
! [SV38: mworld] :
( ( ( ~ ( mrel @ mactual @ SV38 ) )
= $true )
| ( ( ! [SY264: $i,SY265: mworld] :
( ~ ( mrel @ SV38 @ SY265 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY265 @ SX3 )
| ( member @ SY264 @ universal_class @ SX3 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY265 @ SX3 )
| ( member @ ( sum_class @ SY264 ) @ universal_class @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(383,plain,
! [SV39: mworld] :
( ( ( ~ ( mrel @ mactual @ SV39 ) )
= $true )
| ( ( ! [SY268: $i,SY269: mworld] :
( ~ ( mrel @ SV39 @ SY269 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY269 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY268 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX5 @ SY268 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX5 @ SX3 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(384,plain,
! [SV40: mworld] :
( ( ( ~ ( mrel @ mactual @ SV40 ) )
= $true )
| ( ( ! [SY277: $i,SY278: mworld] :
( ~ ( mrel @ SV40 @ SY278 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY278 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY277 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( ordered_pair @ SX5 @ SY277 ) @ ( ordered_pair @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(385,plain,
! [SV41: mworld] :
( ( ( ~ ( mrel @ mactual @ SV41 ) )
= $true )
| ( ( ! [SY285: $i,SY286: mworld] :
( ~ ( mrel @ SV41 @ SY286 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY286 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY285 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( image @ SX5 @ SY285 ) @ ( image @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(386,plain,
! [SV42: mworld] :
( ( ( ~ ( mrel @ mactual @ SV42 ) )
= $true )
| ( ( ! [SY293: $i,SY294: mworld] :
( ~ ( mrel @ SV42 @ SY294 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY294 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY293 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY293 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(387,plain,
! [SV43: mworld] :
( ( ( ~ ( mrel @ mactual @ SV43 ) )
= $true )
| ( ( ! [SY302: $i,SY303: mworld] :
( ~ ( mrel @ SV43 @ SY303 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY303 @ SX3 )
| ( member @ SY302 @ universal_class @ SX3 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY303 @ SX3 )
| ( member @ ( power_class @ SY302 ) @ universal_class @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(388,plain,
! [SV44: mworld] :
( ( ( ~ ( mrel @ mactual @ SV44 ) )
= $true )
| ( ( ! [SY306: $i,SY307: mworld] :
( ~ ( mrel @ SV44 @ SY307 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY307 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY306 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( intersection @ SX5 @ SY306 ) @ ( intersection @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(389,plain,
! [SV45: mworld] :
( ( ( ~ ( mrel @ mactual @ SV45 ) )
= $true )
| ( ( ! [SY314: $i,SY315: mworld] :
( ~ ( mrel @ SV45 @ SY315 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY315 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY314 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( inductive @ SY314 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( inductive @ SX3 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(390,plain,
! [SV46: mworld] :
( ( ( ~ ( mrel @ mactual @ SV46 ) )
= $true )
| ( ( ! [SY321: $i,SY322: mworld] :
( ~ ( mrel @ SV46 @ SY322 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY322 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY321 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SY321 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX3 @ SX5 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(391,plain,
( ( ~ ~ ( ~ ! [SY630: mworld] :
( ~ ( mrel @ mactual @ SY630 )
| ( function @ sK1_SX0 @ SY630 ) )
| ~ ! [SY631: mworld] :
( ~ ( mrel @ mactual @ SY631 )
| ! [SY632: $i,SY633: mworld] :
( ~ ( mrel @ SY631 @ SY633 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY633 @ SX4 )
| ( member @ SY632 @ universal_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY633 @ SX4 )
| ( qmltpeq @ SY632 @ null_class @ SX4 ) )
| ! [SY636: mworld] :
( ~ ( mrel @ SY633 @ SY636 )
| ( member @ ( apply @ sK1_SX0 @ SY632 ) @ SY632 @ SY636 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[306]) ).
thf(392,plain,
! [SV47: mworld] :
( ( ( ~ ( mrel @ mactual @ SV47 ) )
= $true )
| ( ( ! [SY330: $i,SY331: mworld] :
( ~ ( mrel @ SV47 @ SY331 )
| ( subclass @ ( flip @ SY330 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY331 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(393,plain,
! [SV48: mworld] :
( ( ( ~ ( mrel @ mactual @ SV48 ) )
= $true )
| ( ( ! [SY332: $i,SY333: mworld] :
( ~ ( mrel @ SV48 @ SY333 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY333 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY332 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY332 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX3 @ SY332 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY333 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY332 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX3 @ SY332 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY332 @ SX3 @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(394,plain,
! [SV49: mworld] :
( ( ( ~ ( mrel @ mactual @ SV49 ) )
= $true )
| ( ( ! [SY343: $i,SY344: mworld] :
( ~ ( mrel @ SV49 @ SY344 )
| ( qmltpeq @ SY343 @ SY343 @ SY344 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(395,plain,
! [SV50: mworld] :
( ( ( ~ ( mrel @ mactual @ SV50 ) )
= $true )
| ( ( ! [SY345: $i,SY346: mworld] :
( ~ ( mrel @ SV50 @ SY346 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY346 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY345 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SY345 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(396,plain,
! [SV51: mworld] :
( ( ( ~ ( mrel @ mactual @ SV51 ) )
= $true )
| ( ( ! [SY351: $i,SY352: mworld] :
( ~ ( mrel @ SV51 @ SY352 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY352 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY351 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY351 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(397,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 )
| ! [SY637: $i,SY638: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY638 )
| ( subclass @ SY637 @ SY637 @ SY638 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[312]) ).
thf(398,plain,
( ( ~ ~ ( ~ ! [SY639: mworld] :
( ~ ( mrel @ mactual @ SY639 )
| ( member @ sK3_SX0 @ universal_class @ SY639 ) )
| ~ ~ ( ~ ! [SY640: mworld] :
( ~ ( mrel @ mactual @ SY640 )
| ( inductive @ sK3_SX0 @ SY640 ) )
| ~ ! [SY641: mworld] :
( ~ ( mrel @ mactual @ SY641 )
| ! [SY642: $i,SY643: mworld] :
( ~ ( mrel @ SY641 @ SY643 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY643 @ SX4 )
| ( inductive @ SY642 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY643 @ SY645 )
| ( subclass @ sK3_SX0 @ SY642 @ SY645 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[313]) ).
thf(399,plain,
! [SV52: mworld] :
( ( ( ~ ( mrel @ mactual @ SV52 ) )
= $true )
| ( ( ! [SY357: $i,SY358: mworld] :
( ~ ( mrel @ SV52 @ SY358 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY358 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY357 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SY357 ) @ ( successor @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(400,plain,
! [SV53: mworld] :
( ( ( ~ ( mrel @ mactual @ SV53 ) )
= $true )
| ( ( ! [SY363: $i,SY364: mworld] :
( ~ ( mrel @ SV53 @ SY364 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY364 @ SX3 )
| ( member @ SY363 @ null_class @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(401,plain,
! [SV54: mworld] :
( ( ( ~ ( mrel @ mactual @ SV54 ) )
= $true )
| ( ( ! [SY366: $i,SY367: mworld] :
( ~ ( mrel @ SV54 @ SY367 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY367 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY366 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX5 @ SY366 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX5 @ SX3 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(402,plain,
! [SV55: mworld] :
( ( ( ~ ( mrel @ mactual @ SV55 ) )
= $true )
| ( ( ! [SY375: $i] :
~ ( ~ ! [SY376: mworld] :
( ~ ( mrel @ SV55 @ SY376 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY376 @ SX3 )
| ( function @ SY375 @ SX3 ) )
| ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY376 @ SX3 )
| ( subclass @ SY375 @ ( cross_product @ universal_class @ universal_class ) @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY376 @ SX3 )
| ( subclass @ ( compose @ SY375 @ ( inverse @ SY375 ) ) @ identity_relation @ SX3 ) ) ) )
| ~ ! [SY380: mworld] :
( ~ ( mrel @ SV55 @ SY380 )
| ~ ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY380 @ SX3 )
| ( subclass @ SY375 @ ( cross_product @ universal_class @ universal_class ) @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY380 @ SX3 )
| ( subclass @ ( compose @ SY375 @ ( inverse @ SY375 ) ) @ identity_relation @ SX3 ) ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY380 @ SX3 )
| ( function @ SY375 @ SX3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(403,plain,
! [SV56: mworld] :
( ( ( ~ ( mrel @ mactual @ SV56 ) )
= $true )
| ( ( ! [SY384: $i,SY385: mworld] :
( ~ ( mrel @ SV56 @ SY385 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY385 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( disjoint @ SY384 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY384 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY385 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY384 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( disjoint @ SY384 @ SX3 @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(404,plain,
! [SV57: mworld] :
( ( ( ~ ( mrel @ mactual @ SV57 ) )
= $true )
| ( ( ! [SY401: $i,SY402: mworld] :
( ~ ( mrel @ SV57 @ SY402 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY402 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY401 @ SX3 ) @ successor_relation @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY401 @ universal_class @ SX5 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SY401 ) @ SX3 @ SX5 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY402 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY401 @ universal_class @ SX5 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SY401 ) @ SX3 @ SX5 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY401 @ SX3 ) @ successor_relation @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(405,plain,
! [SV58: mworld] :
( ( ( ~ ( mrel @ mactual @ SV58 ) )
= $true )
| ( ( ! [SY414: $i,SY415: mworld] :
( ~ ( mrel @ SV58 @ SY415 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY415 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ universal_class @ SX7 ) )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX5 @ SX7 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ universal_class @ SX7 ) )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX5 @ SX7 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(406,plain,
! [SV59: mworld] :
( ( ( ~ ( mrel @ mactual @ SV59 ) )
= $true )
| ( ( subclass @ element_relation @ ( cross_product @ universal_class @ universal_class ) @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(407,plain,
! [SV60: mworld] :
( ( ( ~ ( mrel @ mactual @ SV60 ) )
= $true )
| ( ( ! [SY429: $i,SY430: mworld] :
( ~ ( mrel @ SV60 @ SY430 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY430 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( cross_product @ SY429 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX5 @ ( ordered_pair @ ( first @ SX5 ) @ ( second @ SX5 ) ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(408,plain,
! [SV61: mworld] :
( ( ( ~ ( mrel @ mactual @ SV61 ) )
= $true )
| ( ( ! [SY437: $i] :
~ ( ~ ! [SY438: mworld] :
( ~ ( mrel @ SV61 @ SY438 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY438 @ SX3 )
| ( inductive @ SY437 @ SX3 ) )
| ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY438 @ SX3 )
| ( member @ null_class @ SY437 @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY438 @ SX3 )
| ( subclass @ ( image @ successor_relation @ SY437 ) @ SY437 @ SX3 ) ) ) )
| ~ ! [SY442: mworld] :
( ~ ( mrel @ SV61 @ SY442 )
| ~ ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY442 @ SX3 )
| ( member @ null_class @ SY437 @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY442 @ SX3 )
| ( subclass @ ( image @ successor_relation @ SY437 ) @ SY437 @ SX3 ) ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY442 @ SX3 )
| ( inductive @ SY437 @ SX3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(409,plain,
! [SV62: mworld] :
( ( ( ~ ( mrel @ mactual @ SV62 ) )
= $true )
| ( ( ! [SY446: $i,SY447: mworld] :
( ~ ( mrel @ SV62 @ SY447 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY447 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( rotate @ SY446 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX5 @ SX7 ) @ SX3 ) @ SY446 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX5 @ SX7 ) @ SX3 ) @ SY446 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( rotate @ SY446 ) @ SX9 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(410,plain,
! [SV63: mworld] :
( ( ( ~ ( mrel @ mactual @ SV63 ) )
= $true )
| ( ( ! [SY461: $i,SY462: mworld] :
( ~ ( mrel @ SV63 @ SY462 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY462 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY461 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( rotate @ SY461 ) @ ( rotate @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(411,plain,
! [SV64: mworld] :
( ( ( ~ ( mrel @ mactual @ SV64 ) )
= $true )
| ( ( ! [SY467: $i,SY468: mworld] :
( ~ ( mrel @ SV64 @ SY468 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY468 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( qmltpeq @ SY467 @ null_class @ SX4 ) ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY468 @ SX4 )
| ( member @ SX3 @ universal_class @ SX4 ) )
| ~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY468 @ SX4 )
| ( member @ SX3 @ SY467 @ SX4 ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY468 @ SX4 )
| ( disjoint @ SX3 @ SY467 @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(412,plain,
! [SV65: mworld] :
( ( ( ~ ( mrel @ mactual @ SV65 ) )
= $true )
| ( ( ! [SY475: $i,SY476: mworld] :
( ~ ( mrel @ SV65 @ SY476 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY476 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY475 @ SX3 ) @ element_relation @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY475 @ SX3 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY476 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY475 @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY475 @ SX3 ) @ element_relation @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(413,plain,
! [SV66: mworld] :
( ( ( ~ ( mrel @ mactual @ SV66 ) )
= $true )
| ( ( ! [SY486: $i,SY487: mworld] :
( ~ ( mrel @ SV66 @ SY487 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY487 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY486 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( unordered_pair @ SX5 @ SY486 ) @ ( unordered_pair @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(414,plain,
! [SV67: mworld] :
( ( ( ~ ( mrel @ mactual @ SV67 ) )
= $true )
| ( ( ! [SY494: $i,SY495: mworld] :
( ~ ( mrel @ SV67 @ SY495 )
| ( subclass @ SY494 @ universal_class @ SY495 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(415,plain,
! [SV68: mworld] :
( ( ( ~ ( mrel @ mactual @ SV68 ) )
= $true )
| ( ( ! [SY496: $i,SY497: mworld] :
( ~ ( mrel @ SV68 @ SY497 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY497 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY496 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( image @ SY496 @ SX5 ) @ ( image @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(416,plain,
! [SV69: mworld] :
( ( ( ~ ( mrel @ mactual @ SV69 ) )
= $true )
| ( ( ! [SY504: $i,SY505: mworld] :
( ~ ( mrel @ SV69 @ SY505 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY505 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY504 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( cross_product @ SY504 @ SX5 ) @ ( cross_product @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(417,plain,
! [SV70: mworld] :
( ( ( ~ ( mrel @ mactual @ SV70 ) )
= $true )
| ( ( ! [SY512: $i,SY513: mworld] :
( ~ ( mrel @ SV70 @ SY513 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY513 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY512 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SY512 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(418,plain,
! [SV71: mworld] :
( ( ( ~ ( mrel @ mactual @ SV71 ) )
= $true )
| ( ( ! [SY520: $i,SY521: mworld] :
( ~ ( mrel @ SV71 @ SY521 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY521 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY520 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY520 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(419,plain,
! [SV72: mworld] :
( ( ( ~ ( mrel @ mactual @ SV72 ) )
= $true )
| ( ( ! [SY529: $i,SY530: mworld] :
( ~ ( mrel @ SV72 @ SY530 )
| ( qmltpeq @ ( range_of @ SY529 ) @ ( domain_of @ ( inverse @ SY529 ) ) @ SY530 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(420,plain,
! [SV73: mworld] :
( ( ( ~ ( mrel @ mactual @ SV73 ) )
= $true )
| ( ( ! [SY531: $i,SY532: mworld] :
( ~ ( mrel @ SV73 @ SY532 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY532 @ SX4 )
| ( qmltpeq @ ( ordered_pair @ SY531 @ SX3 ) @ ( unordered_pair @ ( singleton @ SY531 ) @ ( unordered_pair @ SY531 @ ( singleton @ SX3 ) ) ) @ SX4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(421,plain,
! [SV74: mworld] :
( ( ( ~ ( mrel @ mactual @ SV74 ) )
= $true )
| ( ( ! [SY535: $i,SY536: mworld] :
( ~ ( mrel @ SV74 @ SY536 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY536 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY535 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( unordered_pair @ SY535 @ SX5 ) @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(422,plain,
! [SV75: mworld] :
( ( ( ~ ( mrel @ mactual @ SV75 ) )
= $true )
| ( ( ! [SY543: $i,SY544: mworld] :
( ~ ( mrel @ SV75 @ SY544 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY544 @ SX4 )
| ( qmltpeq @ ( image @ SX3 @ SY543 ) @ ( range_of @ ( restrict @ SX3 @ SY543 @ universal_class ) ) @ SX4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(423,plain,
! [SV76: mworld] :
( ( ( ~ ( mrel @ mactual @ SV76 ) )
= $true )
| ( ( ! [SY547: $i,SY548: mworld] :
( ~ ( mrel @ SV76 @ SY548 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY548 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( flip @ SX7 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SY547 ) @ SX5 ) @ SX7 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SY547 ) @ SX5 ) @ SX7 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( flip @ SX7 ) @ SX9 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(424,plain,
! [SV77: mworld] :
( ( ( ~ ( mrel @ mactual @ SV77 ) )
= $true )
| ( ( ! [SY562: $i,SY563: mworld] :
( ~ ( mrel @ SV77 @ SY563 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY563 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SX5 @ SX7 ) @ ( compose @ SX3 @ SY562 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX5 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX7 @ ( image @ SX3 @ ( image @ SX3 @ ( singleton @ SX5 ) ) ) @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX5 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX7 @ ( image @ SX3 @ ( image @ SX3 @ ( singleton @ SX5 ) ) ) @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SX5 @ SX7 ) @ ( compose @ SX3 @ SY562 ) @ SX9 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(425,plain,
! [SV78: mworld] :
( ( ( ~ ( mrel @ mactual @ SV78 ) )
= $true )
| ( ( ! [SY577: $i,SY578: mworld] :
( ~ ( mrel @ SV78 @ SY578 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY578 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SY577 @ SX3 ) @ ( cross_product @ SX5 @ SX7 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SY577 @ SX5 @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX3 @ SX7 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SY577 @ SX5 @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX3 @ SX7 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SY577 @ SX3 ) @ ( cross_product @ SX5 @ SX7 ) @ SX9 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(426,plain,
! [SV79: mworld] :
( ( ( ~ ( mrel @ mactual @ SV79 ) )
= $true )
| ( ( ! [SY592: $i,SY593: mworld] :
( ~ ( mrel @ SV79 @ SY593 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY593 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY592 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( sum_class @ SY592 ) @ ( sum_class @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(427,plain,
! [SV80: mworld] :
( ( ( ~ ( mrel @ mactual @ SV80 ) )
= $true )
| ( ( ! [SY598: $i,SY599: mworld] :
( ~ ( mrel @ SV80 @ SY599 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY599 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( intersection @ SY598 @ SX3 ) @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY598 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY598 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( intersection @ SY598 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(428,plain,
! [SV81: mworld] :
( ( ( ~ ( mrel @ mactual @ SV81 ) )
= $true )
| ( ( ! [SY611: $i,SY612: mworld] :
( ~ ( mrel @ SV81 @ SY612 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY612 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY611 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( domain_of @ SY611 ) @ ( domain_of @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(429,plain,
! [SV82: mworld] :
( ( ( ~ ( mrel @ mactual @ SV82 ) )
= $true )
| ( ( ! [SY617: $i,SY618: mworld] :
( ~ ( mrel @ SV82 @ SY618 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY618 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY617 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( first @ SY617 ) @ ( first @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(430,plain,
! [SV83: mworld] :
( ( ( ~ ( mrel @ mactual @ SV83 ) )
= $true )
| ( ( ! [SY623: $i,SY624: mworld] :
( ~ ( mrel @ SV83 @ SY624 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY624 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY623 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( flip @ SY623 ) @ ( flip @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(431,plain,
! [SV85: mworld,SV84: mworld,SV2: mworld] :
( ( ~ ( mrel @ SV2 @ SV84 )
| ~ ( mrel @ SV84 @ SV85 )
| ( mrel @ SV2 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(432,plain,
! [SV3: mworld] :
( ( ( mrel @ mactual @ SV3 )
= $false )
| ( ( ! [SY2: $i,SY3: mworld] :
( ~ ( mrel @ SV3 @ SY3 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY3 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY2 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SX5 @ SY2 @ SX7 ) @ ( restrict @ SX5 @ SX3 @ SX7 ) @ SX9 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(433,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ! [SY12: $i,SY13: mworld] :
( ~ ( mrel @ SV4 @ SY13 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY13 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( domain_of @ SY12 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ ( restrict @ SY12 @ ( singleton @ SX3 ) @ universal_class ) @ null_class @ SX6 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY13 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( qmltpeq @ ( restrict @ SY12 @ ( singleton @ SX3 ) @ universal_class ) @ null_class @ SX6 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( domain_of @ SY12 ) @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(434,plain,
! [SV5: mworld] :
( ( ( mrel @ mactual @ SV5 )
= $false )
| ( ( ! [SY25: $i,SY26: mworld] :
( ~ ( mrel @ SV5 @ SY26 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY26 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY25 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( apply @ SY25 @ SX5 ) @ ( apply @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(435,plain,
! [SV6: mworld] :
( ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( ! [SY33: $i,SY34: mworld] :
( ~ ( mrel @ SV6 @ SY34 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY34 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY33 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SY33 @ SX5 @ SX7 ) @ ( restrict @ SX3 @ SX5 @ SX7 ) @ SX9 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(436,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( ! [SY43: $i,SY44: mworld] :
( ~ ( mrel @ SV7 @ SY44 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY44 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY43 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( compose @ SX5 @ SY43 ) @ ( compose @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(437,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ! [SY51: $i,SY52: mworld] :
( ~ ( mrel @ SV8 @ SY52 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY52 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY51 @ ( sum_class @ SX3 ) @ SX5 ) )
| ~ ! [SX5: $i] :
~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SY51 @ SX5 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SX5 @ SX3 @ SX6 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY52 @ SX4 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SY51 @ SX5 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( member @ SX5 @ SX3 @ SX6 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY51 @ ( sum_class @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(438,plain,
! [SV9: mworld] :
( ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( ! [SY64: $i,SY65: mworld] :
( ~ ( mrel @ SV9 @ SY65 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY65 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY64 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( complement @ SY64 ) @ ( complement @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(439,plain,
! [SV10: mworld] :
( ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( ! [SY70: $i,SY71: mworld] :
( ~ ( mrel @ SV10 @ SY71 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY71 @ SX4 )
| ( qmltpeq @ ( apply @ SY70 @ SX3 ) @ ( sum_class @ ( image @ SY70 @ ( singleton @ SX3 ) ) ) @ SX4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(440,plain,
! [SV11: mworld] :
( ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( ! [SY74: $i,SY75: mworld] :
( ~ ( mrel @ SV11 @ SY75 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY75 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ( qmltpeq @ ( restrict @ SX3 @ SY74 @ SX5 ) @ ( intersection @ SX3 @ ( cross_product @ SY74 @ SX5 ) ) @ SX6 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(441,plain,
! [SV12: mworld] :
( ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( ! [SY80: $i,SY81: mworld] :
( ~ ( mrel @ SV12 @ SY81 )
| ( qmltpeq @ ( singleton @ SY80 ) @ ( unordered_pair @ SY80 @ SY80 ) @ SY81 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(442,plain,
! [SV13: mworld] :
( ( ( mrel @ mactual @ SV13 )
= $false )
| ( ( ! [SY82: $i,SY83: mworld] :
( ~ ( mrel @ SV13 @ SY83 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY83 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY82 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SY82 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(443,plain,
! [SV14: mworld] :
( ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( ! [SY90: $i,SY91: mworld] :
( ~ ( mrel @ SV14 @ SY91 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY91 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY90 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( power_class @ SY90 ) @ ( power_class @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(444,plain,
! [SV15: mworld] :
( ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( ! [SY96: $i,SY97: mworld] :
( ~ ( mrel @ SV15 @ SY97 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY97 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY96 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( image @ SX3 @ SY96 ) @ universal_class @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(445,plain,
! [SV16: mworld] :
( ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( ! [SY103: $i,SY104: mworld] :
( ~ ( mrel @ SV16 @ SY104 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY104 @ SX4 )
| ( member @ ( unordered_pair @ SY103 @ SX3 ) @ universal_class @ SX4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(446,plain,
! [SV17: mworld] :
( ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( ! [SY107: $i,SY108: mworld] :
( ~ ( mrel @ SV17 @ SY108 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY108 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY107 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( range_of @ SY107 ) @ ( range_of @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(447,plain,
! [SV18: mworld] :
( ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( ! [SY113: $i,SY114: mworld] :
( ~ ( mrel @ SV18 @ SY114 )
| ( qmltpeq @ ( inverse @ SY113 ) @ ( domain_of @ ( flip @ ( cross_product @ SY113 @ universal_class ) ) ) @ SY114 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(448,plain,
! [SV19: mworld] :
( ( ( mrel @ mactual @ SV19 )
= $false )
| ( ( ! [SY115: $i,SY116: mworld] :
( ~ ( mrel @ SV19 @ SY116 )
| ( subclass @ ( rotate @ SY115 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY116 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(449,plain,
! [SV20: mworld] :
( ( ( mrel @ mactual @ SV20 )
= $false )
| ( ( ! [SY117: $i,SY118: mworld] :
( ~ ( mrel @ SV20 @ SY118 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY118 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY117 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY117 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY117 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY117 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(450,plain,
! [SV21: mworld] :
( ( ( mrel @ mactual @ SV21 )
= $false )
| ( ( ! [SY130: $i,SY131: mworld] :
( ~ ( mrel @ SV21 @ SY131 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY131 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i,SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ SY130 @ SX3 @ SX9 ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( qmltpeq @ ( restrict @ SX5 @ SX7 @ SY130 ) @ ( restrict @ SX5 @ SX7 @ SX3 ) @ SX9 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(451,plain,
! [SV22: mworld] :
( ( ( mrel @ mactual @ SV22 )
= $false )
| ( ( ! [SY140: $i,SY141: mworld] :
( ~ ( mrel @ SV22 @ SY141 )
| ( qmltpeq @ ( successor @ SY140 ) @ ( union @ SY140 @ ( singleton @ SY140 ) ) @ SY141 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(452,plain,
! [SV23: mworld] :
( ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( ! [SY142: $i,SY143: mworld] :
( ~ ( mrel @ SV23 @ SY143 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY143 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ ( power_class @ SX3 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY142 @ SX3 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY143 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY142 @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY142 @ ( power_class @ SX3 ) @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(453,plain,
! [SV24: mworld] :
( ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( ! [SY153: $i,SY154: mworld] :
( ~ ( mrel @ SV24 @ SY154 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY154 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY153 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( ordered_pair @ SY153 @ SX5 ) @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(454,plain,
! [SV25: mworld] :
( ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( ! [SY161: $i,SY162: mworld] :
( ~ ( mrel @ SV25 @ SY162 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY162 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY161 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SY161 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX3 @ SX5 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(455,plain,
! [SV26: mworld] :
( ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( ! [SY170: $i,SY171: mworld] :
( ~ ( mrel @ SV26 @ SY171 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY171 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( complement @ SY170 ) @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( member @ SX3 @ SY170 @ SX6 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY171 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( member @ SX3 @ SY170 @ SX6 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ ( complement @ SY170 ) @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(456,plain,
! [SV27: mworld] :
( ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( ! [SY183: $i,SY184: mworld] :
( ~ ( mrel @ SV27 @ SY184 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY184 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY183 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( intersection @ SY183 @ SX5 ) @ ( intersection @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(457,plain,
! [SV28: mworld] :
( ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( ! [SY191: $i,SY192: mworld] :
( ~ ( mrel @ SV28 @ SY192 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY192 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY191 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( compose @ SY191 @ SX5 ) @ ( compose @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(458,plain,
! [SV29: mworld] :
( ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( subclass @ successor_relation @ ( cross_product @ universal_class @ universal_class ) @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(459,plain,
! [SV30: mworld] :
( ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( ! [SY199: $i,SY200: mworld] :
( ~ ( mrel @ SV30 @ SY200 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY200 @ SX4 )
| ( subclass @ ( compose @ SX3 @ SY199 ) @ ( cross_product @ universal_class @ universal_class ) @ SX4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(460,plain,
! [SV31: mworld] :
( ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( ! [SY203: $i,SY204: mworld] :
( ~ ( mrel @ SV31 @ SY204 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY204 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY203 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( inverse @ SY203 ) @ ( inverse @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(461,plain,
! [SV32: mworld] :
( ( ( mrel @ mactual @ SV32 )
= $false )
| ( ( ! [SY209: $i,SY210: mworld] :
( ~ ( mrel @ SV32 @ SY210 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY210 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY209 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY209 @ SX5 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(462,plain,
! [SV33: mworld] :
( ( ( mrel @ mactual @ SV33 )
= $false )
| ( ( ! [SY218: $i,SY219: mworld] :
( ~ ( mrel @ SV33 @ SY219 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY219 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY218 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY218 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY219 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY218 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY218 @ SX3 @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(463,plain,
! [SV34: mworld] :
( ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( ! [SY235: $i,SY236: mworld] :
( ~ ( mrel @ SV34 @ SY236 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY236 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY235 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SY235 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( function @ SX3 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(464,plain,
! [SV35: mworld] :
( ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( ! [SY242: $i,SY243: mworld] :
( ~ ( mrel @ SV35 @ SY243 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY243 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY242 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( second @ SY242 ) @ ( second @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(465,plain,
! [SV36: mworld] :
( ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( ! [SY248: $i,SY249: mworld] :
( ~ ( mrel @ SV36 @ SY249 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY249 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY248 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( apply @ SX5 @ SY248 ) @ ( apply @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(466,plain,
! [SV37: mworld] :
( ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( ! [SY256: $i,SY257: mworld] :
( ~ ( mrel @ SV37 @ SY257 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY257 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY256 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( cross_product @ SX5 @ SY256 ) @ ( cross_product @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(467,plain,
! [SV38: mworld] :
( ( ( mrel @ mactual @ SV38 )
= $false )
| ( ( ! [SY264: $i,SY265: mworld] :
( ~ ( mrel @ SV38 @ SY265 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY265 @ SX3 )
| ( member @ SY264 @ universal_class @ SX3 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY265 @ SX3 )
| ( member @ ( sum_class @ SY264 ) @ universal_class @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(468,plain,
! [SV39: mworld] :
( ( ( mrel @ mactual @ SV39 )
= $false )
| ( ( ! [SY268: $i,SY269: mworld] :
( ~ ( mrel @ SV39 @ SY269 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY269 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY268 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX5 @ SY268 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subclass @ SX5 @ SX3 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(469,plain,
! [SV40: mworld] :
( ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( ! [SY277: $i,SY278: mworld] :
( ~ ( mrel @ SV40 @ SY278 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY278 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY277 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( ordered_pair @ SX5 @ SY277 ) @ ( ordered_pair @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(470,plain,
! [SV41: mworld] :
( ( ( mrel @ mactual @ SV41 )
= $false )
| ( ( ! [SY285: $i,SY286: mworld] :
( ~ ( mrel @ SV41 @ SY286 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY286 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY285 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( image @ SX5 @ SY285 ) @ ( image @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(471,plain,
! [SV42: mworld] :
( ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( ! [SY293: $i,SY294: mworld] :
( ~ ( mrel @ SV42 @ SY294 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY294 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY293 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY293 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(472,plain,
! [SV43: mworld] :
( ( ( mrel @ mactual @ SV43 )
= $false )
| ( ( ! [SY302: $i,SY303: mworld] :
( ~ ( mrel @ SV43 @ SY303 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY303 @ SX3 )
| ( member @ SY302 @ universal_class @ SX3 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY303 @ SX3 )
| ( member @ ( power_class @ SY302 ) @ universal_class @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(473,plain,
! [SV44: mworld] :
( ( ( mrel @ mactual @ SV44 )
= $false )
| ( ( ! [SY306: $i,SY307: mworld] :
( ~ ( mrel @ SV44 @ SY307 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY307 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY306 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( intersection @ SX5 @ SY306 ) @ ( intersection @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(474,plain,
! [SV45: mworld] :
( ( ( mrel @ mactual @ SV45 )
= $false )
| ( ( ! [SY314: $i,SY315: mworld] :
( ~ ( mrel @ SV45 @ SY315 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY315 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY314 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( inductive @ SY314 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( inductive @ SX3 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(475,plain,
! [SV46: mworld] :
( ( ( mrel @ mactual @ SV46 )
= $false )
| ( ( ! [SY321: $i,SY322: mworld] :
( ~ ( mrel @ SV46 @ SY322 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY322 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY321 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SY321 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX3 @ SX5 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(476,plain,
( ( ~ ( ~ ! [SY630: mworld] :
( ~ ( mrel @ mactual @ SY630 )
| ( function @ sK1_SX0 @ SY630 ) )
| ~ ! [SY631: mworld] :
( ~ ( mrel @ mactual @ SY631 )
| ! [SY632: $i,SY633: mworld] :
( ~ ( mrel @ SY631 @ SY633 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY633 @ SX4 )
| ( member @ SY632 @ universal_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY633 @ SX4 )
| ( qmltpeq @ SY632 @ null_class @ SX4 ) )
| ! [SY636: mworld] :
( ~ ( mrel @ SY633 @ SY636 )
| ( member @ ( apply @ sK1_SX0 @ SY632 ) @ SY632 @ SY636 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(477,plain,
! [SV47: mworld] :
( ( ( mrel @ mactual @ SV47 )
= $false )
| ( ( ! [SY330: $i,SY331: mworld] :
( ~ ( mrel @ SV47 @ SY331 )
| ( subclass @ ( flip @ SY330 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY331 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(478,plain,
! [SV48: mworld] :
( ( ( mrel @ mactual @ SV48 )
= $false )
| ( ( ! [SY332: $i,SY333: mworld] :
( ~ ( mrel @ SV48 @ SY333 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY333 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY332 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY332 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX3 @ SY332 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY333 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SY332 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subclass @ SX3 @ SY332 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY332 @ SX3 @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(479,plain,
! [SV49: mworld] :
( ( ( mrel @ mactual @ SV49 )
= $false )
| ( ( ! [SY343: $i,SY344: mworld] :
( ~ ( mrel @ SV49 @ SY344 )
| ( qmltpeq @ SY343 @ SY343 @ SY344 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(480,plain,
! [SV50: mworld] :
( ( ( mrel @ mactual @ SV50 )
= $false )
| ( ( ! [SY345: $i,SY346: mworld] :
( ~ ( mrel @ SV50 @ SY346 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY346 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY345 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( singleton @ SY345 ) @ ( singleton @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(481,plain,
! [SV51: mworld] :
( ( ( mrel @ mactual @ SV51 )
= $false )
| ( ( ! [SY351: $i,SY352: mworld] :
( ~ ( mrel @ SV51 @ SY352 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY352 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY351 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY351 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(482,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(483,plain,
( ( ! [SY637: $i,SY638: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY638 )
| ( subclass @ SY637 @ SY637 @ SY638 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(484,plain,
( ( ~ ( ~ ! [SY639: mworld] :
( ~ ( mrel @ mactual @ SY639 )
| ( member @ sK3_SX0 @ universal_class @ SY639 ) )
| ~ ~ ( ~ ! [SY640: mworld] :
( ~ ( mrel @ mactual @ SY640 )
| ( inductive @ sK3_SX0 @ SY640 ) )
| ~ ! [SY641: mworld] :
( ~ ( mrel @ mactual @ SY641 )
| ! [SY642: $i,SY643: mworld] :
( ~ ( mrel @ SY641 @ SY643 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY643 @ SX4 )
| ( inductive @ SY642 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY643 @ SY645 )
| ( subclass @ sK3_SX0 @ SY642 @ SY645 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(485,plain,
! [SV52: mworld] :
( ( ( mrel @ mactual @ SV52 )
= $false )
| ( ( ! [SY357: $i,SY358: mworld] :
( ~ ( mrel @ SV52 @ SY358 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY358 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY357 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SY357 ) @ ( successor @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(486,plain,
! [SV53: mworld] :
( ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( ! [SY363: $i,SY364: mworld] :
( ~ ( mrel @ SV53 @ SY364 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY364 @ SX3 )
| ( member @ SY363 @ null_class @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(487,plain,
! [SV54: mworld] :
( ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( ! [SY366: $i,SY367: mworld] :
( ~ ( mrel @ SV54 @ SY367 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY367 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY366 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX5 @ SY366 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( disjoint @ SX5 @ SX3 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(488,plain,
! [SV55: mworld] :
( ( ( mrel @ mactual @ SV55 )
= $false )
| ( ( ! [SY375: $i] :
~ ( ~ ! [SY376: mworld] :
( ~ ( mrel @ SV55 @ SY376 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY376 @ SX3 )
| ( function @ SY375 @ SX3 ) )
| ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY376 @ SX3 )
| ( subclass @ SY375 @ ( cross_product @ universal_class @ universal_class ) @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY376 @ SX3 )
| ( subclass @ ( compose @ SY375 @ ( inverse @ SY375 ) ) @ identity_relation @ SX3 ) ) ) )
| ~ ! [SY380: mworld] :
( ~ ( mrel @ SV55 @ SY380 )
| ~ ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY380 @ SX3 )
| ( subclass @ SY375 @ ( cross_product @ universal_class @ universal_class ) @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY380 @ SX3 )
| ( subclass @ ( compose @ SY375 @ ( inverse @ SY375 ) ) @ identity_relation @ SX3 ) ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY380 @ SX3 )
| ( function @ SY375 @ SX3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(489,plain,
! [SV56: mworld] :
( ( ( mrel @ mactual @ SV56 )
= $false )
| ( ( ! [SY384: $i,SY385: mworld] :
( ~ ( mrel @ SV56 @ SY385 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY385 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( disjoint @ SY384 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY384 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY385 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i,SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY384 @ SX8 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( disjoint @ SY384 @ SX3 @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(490,plain,
! [SV57: mworld] :
( ( ( mrel @ mactual @ SV57 )
= $false )
| ( ( ! [SY401: $i,SY402: mworld] :
( ~ ( mrel @ SV57 @ SY402 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY402 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY401 @ SX3 ) @ successor_relation @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY401 @ universal_class @ SX5 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SY401 ) @ SX3 @ SX5 ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY402 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY401 @ universal_class @ SX5 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( successor @ SY401 ) @ SX3 @ SX5 ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY401 @ SX3 ) @ successor_relation @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(491,plain,
! [SV58: mworld] :
( ( ( mrel @ mactual @ SV58 )
= $false )
| ( ( ! [SY414: $i,SY415: mworld] :
( ~ ( mrel @ SV58 @ SY415 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY415 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ universal_class @ SX7 ) )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX5 @ SX7 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ universal_class @ SX7 ) )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY414 @ SX5 @ SX7 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY414 @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(492,plain,
! [SV59: mworld] :
( ( ( mrel @ mactual @ SV59 )
= $false )
| ( ( subclass @ element_relation @ ( cross_product @ universal_class @ universal_class ) @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(493,plain,
! [SV60: mworld] :
( ( ( mrel @ mactual @ SV60 )
= $false )
| ( ( ! [SY429: $i,SY430: mworld] :
( ~ ( mrel @ SV60 @ SY430 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY430 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( cross_product @ SY429 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX5 @ ( ordered_pair @ ( first @ SX5 ) @ ( second @ SX5 ) ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(494,plain,
! [SV61: mworld] :
( ( ( mrel @ mactual @ SV61 )
= $false )
| ( ( ! [SY437: $i] :
~ ( ~ ! [SY438: mworld] :
( ~ ( mrel @ SV61 @ SY438 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY438 @ SX3 )
| ( inductive @ SY437 @ SX3 ) )
| ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY438 @ SX3 )
| ( member @ null_class @ SY437 @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY438 @ SX3 )
| ( subclass @ ( image @ successor_relation @ SY437 ) @ SY437 @ SX3 ) ) ) )
| ~ ! [SY442: mworld] :
( ~ ( mrel @ SV61 @ SY442 )
| ~ ~ ( ~ ! [SX3: mworld] :
( ~ ( mrel @ SY442 @ SX3 )
| ( member @ null_class @ SY437 @ SX3 ) )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY442 @ SX3 )
| ( subclass @ ( image @ successor_relation @ SY437 ) @ SY437 @ SX3 ) ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY442 @ SX3 )
| ( inductive @ SY437 @ SX3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(495,plain,
! [SV62: mworld] :
( ( ( mrel @ mactual @ SV62 )
= $false )
| ( ( ! [SY446: $i,SY447: mworld] :
( ~ ( mrel @ SV62 @ SY447 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY447 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( rotate @ SY446 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX5 @ SX7 ) @ SX3 ) @ SY446 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX5 @ SX7 ) @ SX3 ) @ SY446 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SX5 ) @ SX7 ) @ ( rotate @ SY446 ) @ SX9 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(496,plain,
! [SV63: mworld] :
( ( ( mrel @ mactual @ SV63 )
= $false )
| ( ( ! [SY461: $i,SY462: mworld] :
( ~ ( mrel @ SV63 @ SY462 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY462 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY461 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( rotate @ SY461 ) @ ( rotate @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(497,plain,
! [SV64: mworld] :
( ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( ! [SY467: $i,SY468: mworld] :
( ~ ( mrel @ SV64 @ SY468 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY468 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( qmltpeq @ SY467 @ null_class @ SX4 ) ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY468 @ SX4 )
| ( member @ SX3 @ universal_class @ SX4 ) )
| ~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY468 @ SX4 )
| ( member @ SX3 @ SY467 @ SX4 ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY468 @ SX4 )
| ( disjoint @ SX3 @ SY467 @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(498,plain,
! [SV65: mworld] :
( ( ( mrel @ mactual @ SV65 )
= $false )
| ( ( ! [SY475: $i,SY476: mworld] :
( ~ ( mrel @ SV65 @ SY476 )
| ! [SX3: $i] :
~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY476 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY475 @ SX3 ) @ element_relation @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY475 @ SX3 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY476 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SX3 @ universal_class @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ SY475 @ SX3 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( member @ ( ordered_pair @ SY475 @ SX3 ) @ element_relation @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(499,plain,
! [SV66: mworld] :
( ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( ! [SY486: $i,SY487: mworld] :
( ~ ( mrel @ SV66 @ SY487 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY487 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY486 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( unordered_pair @ SX5 @ SY486 ) @ ( unordered_pair @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(500,plain,
! [SV67: mworld] :
( ( ( mrel @ mactual @ SV67 )
= $false )
| ( ( ! [SY494: $i,SY495: mworld] :
( ~ ( mrel @ SV67 @ SY495 )
| ( subclass @ SY494 @ universal_class @ SY495 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(501,plain,
! [SV68: mworld] :
( ( ( mrel @ mactual @ SV68 )
= $false )
| ( ( ! [SY496: $i,SY497: mworld] :
( ~ ( mrel @ SV68 @ SY497 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY497 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY496 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( image @ SY496 @ SX5 ) @ ( image @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(502,plain,
! [SV69: mworld] :
( ( ( mrel @ mactual @ SV69 )
= $false )
| ( ( ! [SY504: $i,SY505: mworld] :
( ~ ( mrel @ SV69 @ SY505 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY505 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY504 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( cross_product @ SY504 @ SX5 ) @ ( cross_product @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(503,plain,
! [SV70: mworld] :
( ( ( mrel @ mactual @ SV70 )
= $false )
| ( ( ! [SY512: $i,SY513: mworld] :
( ~ ( mrel @ SV70 @ SY513 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY513 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY512 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SY512 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(504,plain,
! [SV71: mworld] :
( ( ( mrel @ mactual @ SV71 )
= $false )
| ( ( ! [SY520: $i,SY521: mworld] :
( ~ ( mrel @ SV71 @ SY521 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY521 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY520 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY520 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(505,plain,
! [SV72: mworld] :
( ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( ! [SY529: $i,SY530: mworld] :
( ~ ( mrel @ SV72 @ SY530 )
| ( qmltpeq @ ( range_of @ SY529 ) @ ( domain_of @ ( inverse @ SY529 ) ) @ SY530 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(506,plain,
! [SV73: mworld] :
( ( ( mrel @ mactual @ SV73 )
= $false )
| ( ( ! [SY531: $i,SY532: mworld] :
( ~ ( mrel @ SV73 @ SY532 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY532 @ SX4 )
| ( qmltpeq @ ( ordered_pair @ SY531 @ SX3 ) @ ( unordered_pair @ ( singleton @ SY531 ) @ ( unordered_pair @ SY531 @ ( singleton @ SX3 ) ) ) @ SX4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(507,plain,
! [SV74: mworld] :
( ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( ! [SY535: $i,SY536: mworld] :
( ~ ( mrel @ SV74 @ SY536 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY536 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY535 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( unordered_pair @ SY535 @ SX5 ) @ ( unordered_pair @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(508,plain,
! [SV75: mworld] :
( ( ( mrel @ mactual @ SV75 )
= $false )
| ( ( ! [SY543: $i,SY544: mworld] :
( ~ ( mrel @ SV75 @ SY544 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY544 @ SX4 )
| ( qmltpeq @ ( image @ SX3 @ SY543 ) @ ( range_of @ ( restrict @ SX3 @ SY543 @ universal_class ) ) @ SX4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(509,plain,
! [SV76: mworld] :
( ( ( mrel @ mactual @ SV76 )
= $false )
| ( ( ! [SY547: $i,SY548: mworld] :
( ~ ( mrel @ SV76 @ SY548 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY548 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( flip @ SX7 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SY547 ) @ SX5 ) @ SX7 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SX3 @ SY547 ) @ SX5 ) @ SX7 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY547 @ SX3 ) @ SX5 ) @ ( flip @ SX7 ) @ SX9 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(510,plain,
! [SV77: mworld] :
( ( ( mrel @ mactual @ SV77 )
= $false )
| ( ( ! [SY562: $i,SY563: mworld] :
( ~ ( mrel @ SV77 @ SY563 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY563 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SX5 @ SX7 ) @ ( compose @ SX3 @ SY562 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX5 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX7 @ ( image @ SX3 @ ( image @ SX3 @ ( singleton @ SX5 ) ) ) @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX5 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX7 @ ( image @ SX3 @ ( image @ SX3 @ ( singleton @ SX5 ) ) ) @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SX5 @ SX7 ) @ ( compose @ SX3 @ SY562 ) @ SX9 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(511,plain,
! [SV78: mworld] :
( ( ( mrel @ mactual @ SV78 )
= $false )
| ( ( ! [SY577: $i,SY578: mworld] :
( ~ ( mrel @ SV78 @ SY578 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY578 @ SX4 )
| ! [SX5: $i,SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ! [SX7: $i] :
~ ( ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SY577 @ SX3 ) @ ( cross_product @ SX5 @ SX7 ) @ SX9 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SY577 @ SX5 @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX3 @ SX7 @ SX9 ) ) ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX6 @ SX8 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SY577 @ SX5 @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ SX3 @ SX7 @ SX9 ) ) )
| ! [SX9: mworld] :
( ~ ( mrel @ SX8 @ SX9 )
| ( member @ ( ordered_pair @ SY577 @ SX3 ) @ ( cross_product @ SX5 @ SX7 ) @ SX9 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(512,plain,
! [SV79: mworld] :
( ( ( mrel @ mactual @ SV79 )
= $false )
| ( ( ! [SY592: $i,SY593: mworld] :
( ~ ( mrel @ SV79 @ SY593 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY593 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY592 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( sum_class @ SY592 ) @ ( sum_class @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(513,plain,
! [SV80: mworld] :
( ( ( mrel @ mactual @ SV80 )
= $false )
| ( ( ! [SY598: $i,SY599: mworld] :
( ~ ( mrel @ SV80 @ SY599 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY599 @ SX4 )
| ! [SX5: $i] :
~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( intersection @ SY598 @ SX3 ) @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY598 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY598 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( intersection @ SY598 @ SX3 ) @ SX7 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(514,plain,
! [SV81: mworld] :
( ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( ! [SY611: $i,SY612: mworld] :
( ~ ( mrel @ SV81 @ SY612 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY612 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY611 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( domain_of @ SY611 ) @ ( domain_of @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(515,plain,
! [SV82: mworld] :
( ( ( mrel @ mactual @ SV82 )
= $false )
| ( ( ! [SY617: $i,SY618: mworld] :
( ~ ( mrel @ SV82 @ SY618 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY618 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY617 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( first @ SY617 ) @ ( first @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(516,plain,
! [SV83: mworld] :
( ( ( mrel @ mactual @ SV83 )
= $false )
| ( ( ! [SY623: $i,SY624: mworld] :
( ~ ( mrel @ SV83 @ SY624 )
| ! [SX3: $i,SX4: mworld] :
( ~ ( mrel @ SY624 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY623 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( flip @ SY623 ) @ ( flip @ SX3 ) @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(517,plain,
! [SV85: mworld,SV84: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV84 )
| ~ ( mrel @ SV84 @ SV85 ) )
= $true )
| ( ( mrel @ SV2 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(518,plain,
! [SV86: $i,SV3: mworld] :
( ( ( ! [SY646: mworld] :
( ~ ( mrel @ SV3 @ SY646 )
| ! [SY647: $i,SY648: mworld] :
( ~ ( mrel @ SY646 @ SY648 )
| ! [SY649: $i,SY650: mworld] :
( ~ ( mrel @ SY648 @ SY650 )
| ! [SY651: $i,SY652: mworld] :
( ~ ( mrel @ SY650 @ SY652 )
| ~ ! [SY653: mworld] :
( ~ ( mrel @ SY652 @ SY653 )
| ( qmltpeq @ SV86 @ SY647 @ SY653 ) )
| ! [SY654: mworld] :
( ~ ( mrel @ SY652 @ SY654 )
| ( qmltpeq @ ( restrict @ SY649 @ SV86 @ SY651 ) @ ( restrict @ SY649 @ SY647 @ SY651 ) @ SY654 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(519,plain,
! [SV87: $i,SV4: mworld] :
( ( ( ! [SY655: mworld] :
( ~ ( mrel @ SV4 @ SY655 )
| ! [SY656: $i] :
~ ( ~ ! [SY657: mworld] :
( ~ ( mrel @ SY655 @ SY657 )
| ~ ! [SY658: mworld] :
( ~ ( mrel @ SY657 @ SY658 )
| ( member @ SY656 @ ( domain_of @ SV87 ) @ SY658 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY657 @ SX5 )
| ( member @ SY656 @ universal_class @ SX5 ) )
| ~ ! [SY660: mworld] :
( ~ ( mrel @ SY657 @ SY660 )
| ~ ! [SY661: mworld] :
( ~ ( mrel @ SY660 @ SY661 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SY656 ) @ universal_class ) @ null_class @ SY661 ) ) ) ) )
| ~ ! [SY662: mworld] :
( ~ ( mrel @ SY655 @ SY662 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY662 @ SX5 )
| ( member @ SY656 @ universal_class @ SX5 ) )
| ~ ! [SY664: mworld] :
( ~ ( mrel @ SY662 @ SY664 )
| ~ ! [SY665: mworld] :
( ~ ( mrel @ SY664 @ SY665 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SY656 ) @ universal_class ) @ null_class @ SY665 ) ) ) )
| ! [SY666: mworld] :
( ~ ( mrel @ SY662 @ SY666 )
| ( member @ SY656 @ ( domain_of @ SV87 ) @ SY666 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(520,plain,
! [SV88: $i,SV5: mworld] :
( ( ( ! [SY667: mworld] :
( ~ ( mrel @ SV5 @ SY667 )
| ! [SY668: $i,SY669: mworld] :
( ~ ( mrel @ SY667 @ SY669 )
| ! [SY670: $i,SY671: mworld] :
( ~ ( mrel @ SY669 @ SY671 )
| ~ ! [SY672: mworld] :
( ~ ( mrel @ SY671 @ SY672 )
| ( qmltpeq @ SV88 @ SY668 @ SY672 ) )
| ! [SY673: mworld] :
( ~ ( mrel @ SY671 @ SY673 )
| ( qmltpeq @ ( apply @ SV88 @ SY670 ) @ ( apply @ SY668 @ SY670 ) @ SY673 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(521,plain,
! [SV89: $i,SV6: mworld] :
( ( ( ! [SY674: mworld] :
( ~ ( mrel @ SV6 @ SY674 )
| ! [SY675: $i,SY676: mworld] :
( ~ ( mrel @ SY674 @ SY676 )
| ! [SY677: $i,SY678: mworld] :
( ~ ( mrel @ SY676 @ SY678 )
| ! [SY679: $i,SY680: mworld] :
( ~ ( mrel @ SY678 @ SY680 )
| ~ ! [SY681: mworld] :
( ~ ( mrel @ SY680 @ SY681 )
| ( qmltpeq @ SV89 @ SY675 @ SY681 ) )
| ! [SY682: mworld] :
( ~ ( mrel @ SY680 @ SY682 )
| ( qmltpeq @ ( restrict @ SV89 @ SY677 @ SY679 ) @ ( restrict @ SY675 @ SY677 @ SY679 ) @ SY682 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(522,plain,
! [SV90: $i,SV7: mworld] :
( ( ( ! [SY683: mworld] :
( ~ ( mrel @ SV7 @ SY683 )
| ! [SY684: $i,SY685: mworld] :
( ~ ( mrel @ SY683 @ SY685 )
| ! [SY686: $i,SY687: mworld] :
( ~ ( mrel @ SY685 @ SY687 )
| ~ ! [SY688: mworld] :
( ~ ( mrel @ SY687 @ SY688 )
| ( qmltpeq @ SV90 @ SY684 @ SY688 ) )
| ! [SY689: mworld] :
( ~ ( mrel @ SY687 @ SY689 )
| ( qmltpeq @ ( compose @ SY686 @ SV90 ) @ ( compose @ SY686 @ SY684 ) @ SY689 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(523,plain,
! [SV91: $i,SV8: mworld] :
( ( ( ! [SY690: mworld] :
( ~ ( mrel @ SV8 @ SY690 )
| ! [SY691: $i] :
~ ( ~ ! [SY692: mworld] :
( ~ ( mrel @ SY690 @ SY692 )
| ~ ! [SY693: mworld] :
( ~ ( mrel @ SY692 @ SY693 )
| ( member @ SV91 @ ( sum_class @ SY691 ) @ SY693 ) )
| ~ ! [SY694: $i] :
~ ~ ( ~ ! [SY695: mworld] :
( ~ ( mrel @ SY692 @ SY695 )
| ( member @ SV91 @ SY694 @ SY695 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY692 @ SX6 )
| ( member @ SY694 @ SY691 @ SX6 ) ) ) )
| ~ ! [SY697: mworld] :
( ~ ( mrel @ SY690 @ SY697 )
| ~ ~ ! [SY698: $i] :
~ ~ ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SY697 @ SY699 )
| ( member @ SV91 @ SY698 @ SY699 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY697 @ SX6 )
| ( member @ SY698 @ SY691 @ SX6 ) ) )
| ! [SY701: mworld] :
( ~ ( mrel @ SY697 @ SY701 )
| ( member @ SV91 @ ( sum_class @ SY691 ) @ SY701 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(524,plain,
! [SV92: $i,SV9: mworld] :
( ( ( ! [SY702: mworld] :
( ~ ( mrel @ SV9 @ SY702 )
| ! [SY703: $i,SY704: mworld] :
( ~ ( mrel @ SY702 @ SY704 )
| ~ ! [SY705: mworld] :
( ~ ( mrel @ SY704 @ SY705 )
| ( qmltpeq @ SV92 @ SY703 @ SY705 ) )
| ! [SY706: mworld] :
( ~ ( mrel @ SY704 @ SY706 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SY703 ) @ SY706 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(525,plain,
! [SV93: $i,SV10: mworld] :
( ( ( ! [SY707: mworld] :
( ~ ( mrel @ SV10 @ SY707 )
| ! [SY708: $i,SY709: mworld] :
( ~ ( mrel @ SY707 @ SY709 )
| ( qmltpeq @ ( apply @ SV93 @ SY708 ) @ ( sum_class @ ( image @ SV93 @ ( singleton @ SY708 ) ) ) @ SY709 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(526,plain,
! [SV94: $i,SV11: mworld] :
( ( ( ! [SY710: mworld] :
( ~ ( mrel @ SV11 @ SY710 )
| ! [SY711: $i,SY712: mworld] :
( ~ ( mrel @ SY710 @ SY712 )
| ! [SY713: $i,SY714: mworld] :
( ~ ( mrel @ SY712 @ SY714 )
| ( qmltpeq @ ( restrict @ SY711 @ SV94 @ SY713 ) @ ( intersection @ SY711 @ ( cross_product @ SV94 @ SY713 ) ) @ SY714 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(527,plain,
! [SV95: $i,SV12: mworld] :
( ( ( ! [SY715: mworld] :
( ~ ( mrel @ SV12 @ SY715 )
| ( qmltpeq @ ( singleton @ SV95 ) @ ( unordered_pair @ SV95 @ SV95 ) @ SY715 ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(528,plain,
! [SV96: $i,SV13: mworld] :
( ( ( ! [SY716: mworld] :
( ~ ( mrel @ SV13 @ SY716 )
| ! [SY717: $i,SY718: mworld] :
( ~ ( mrel @ SY716 @ SY718 )
| ! [SY719: $i,SY720: mworld] :
( ~ ( mrel @ SY718 @ SY720 )
| ~ ! [SY721: mworld] :
( ~ ( mrel @ SY720 @ SY721 )
| ( qmltpeq @ SV96 @ SY717 @ SY721 ) )
| ! [SY722: mworld] :
( ~ ( mrel @ SY720 @ SY722 )
| ( qmltpeq @ ( union @ SY719 @ SV96 ) @ ( union @ SY719 @ SY717 ) @ SY722 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(529,plain,
! [SV97: $i,SV14: mworld] :
( ( ( ! [SY723: mworld] :
( ~ ( mrel @ SV14 @ SY723 )
| ! [SY724: $i,SY725: mworld] :
( ~ ( mrel @ SY723 @ SY725 )
| ~ ! [SY726: mworld] :
( ~ ( mrel @ SY725 @ SY726 )
| ( qmltpeq @ SV97 @ SY724 @ SY726 ) )
| ! [SY727: mworld] :
( ~ ( mrel @ SY725 @ SY727 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SY724 ) @ SY727 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(530,plain,
! [SV98: $i,SV15: mworld] :
( ( ( ! [SY728: mworld] :
( ~ ( mrel @ SV15 @ SY728 )
| ! [SY729: $i,SY730: mworld] :
( ~ ( mrel @ SY728 @ SY730 )
| ~ ~ ( ~ ! [SY731: mworld] :
( ~ ( mrel @ SY730 @ SY731 )
| ( member @ SV98 @ universal_class @ SY731 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SY730 @ SX5 )
| ( function @ SY729 @ SX5 ) ) )
| ! [SY733: mworld] :
( ~ ( mrel @ SY730 @ SY733 )
| ( member @ ( image @ SY729 @ SV98 ) @ universal_class @ SY733 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(531,plain,
! [SV99: $i,SV16: mworld] :
( ( ( ! [SY734: mworld] :
( ~ ( mrel @ SV16 @ SY734 )
| ! [SY735: $i,SY736: mworld] :
( ~ ( mrel @ SY734 @ SY736 )
| ( member @ ( unordered_pair @ SV99 @ SY735 ) @ universal_class @ SY736 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(532,plain,
! [SV100: $i,SV17: mworld] :
( ( ( ! [SY737: mworld] :
( ~ ( mrel @ SV17 @ SY737 )
| ! [SY738: $i,SY739: mworld] :
( ~ ( mrel @ SY737 @ SY739 )
| ~ ! [SY740: mworld] :
( ~ ( mrel @ SY739 @ SY740 )
| ( qmltpeq @ SV100 @ SY738 @ SY740 ) )
| ! [SY741: mworld] :
( ~ ( mrel @ SY739 @ SY741 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SY738 ) @ SY741 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(533,plain,
! [SV101: $i,SV18: mworld] :
( ( ( ! [SY742: mworld] :
( ~ ( mrel @ SV18 @ SY742 )
| ( qmltpeq @ ( inverse @ SV101 ) @ ( domain_of @ ( flip @ ( cross_product @ SV101 @ universal_class ) ) ) @ SY742 ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(534,plain,
! [SV102: $i,SV19: mworld] :
( ( ( ! [SY743: mworld] :
( ~ ( mrel @ SV19 @ SY743 )
| ( subclass @ ( rotate @ SV102 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY743 ) ) )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(535,plain,
! [SV103: $i,SV20: mworld] :
( ( ( ! [SY744: mworld] :
( ~ ( mrel @ SV20 @ SY744 )
| ! [SY745: $i,SY746: mworld] :
( ~ ( mrel @ SY744 @ SY746 )
| ! [SY747: $i] :
~ ( ~ ! [SY748: mworld] :
( ~ ( mrel @ SY746 @ SY748 )
| ~ ! [SY749: mworld] :
( ~ ( mrel @ SY748 @ SY749 )
| ( member @ SY747 @ ( union @ SV103 @ SY745 ) @ SY749 ) )
| ! [SY750: mworld] :
( ~ ( mrel @ SY748 @ SY750 )
| ( member @ SY747 @ SV103 @ SY750 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY748 @ SX7 )
| ( member @ SY747 @ SY745 @ SX7 ) ) )
| ~ ! [SY752: mworld] :
( ~ ( mrel @ SY746 @ SY752 )
| ~ ( ! [SY753: mworld] :
( ~ ( mrel @ SY752 @ SY753 )
| ( member @ SY747 @ SV103 @ SY753 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY752 @ SX7 )
| ( member @ SY747 @ SY745 @ SX7 ) ) )
| ! [SY755: mworld] :
( ~ ( mrel @ SY752 @ SY755 )
| ( member @ SY747 @ ( union @ SV103 @ SY745 ) @ SY755 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(536,plain,
! [SV104: $i,SV21: mworld] :
( ( ( ! [SY756: mworld] :
( ~ ( mrel @ SV21 @ SY756 )
| ! [SY757: $i,SY758: mworld] :
( ~ ( mrel @ SY756 @ SY758 )
| ! [SY759: $i,SY760: mworld] :
( ~ ( mrel @ SY758 @ SY760 )
| ! [SY761: $i,SY762: mworld] :
( ~ ( mrel @ SY760 @ SY762 )
| ~ ! [SY763: mworld] :
( ~ ( mrel @ SY762 @ SY763 )
| ( qmltpeq @ SV104 @ SY757 @ SY763 ) )
| ! [SY764: mworld] :
( ~ ( mrel @ SY762 @ SY764 )
| ( qmltpeq @ ( restrict @ SY759 @ SY761 @ SV104 ) @ ( restrict @ SY759 @ SY761 @ SY757 ) @ SY764 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(537,plain,
! [SV105: $i,SV22: mworld] :
( ( ( ! [SY765: mworld] :
( ~ ( mrel @ SV22 @ SY765 )
| ( qmltpeq @ ( successor @ SV105 ) @ ( union @ SV105 @ ( singleton @ SV105 ) ) @ SY765 ) ) )
= $true )
| ( ( mrel @ mactual @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(538,plain,
! [SV106: $i,SV23: mworld] :
( ( ( ! [SY766: mworld] :
( ~ ( mrel @ SV23 @ SY766 )
| ! [SY767: $i] :
~ ( ~ ! [SY768: mworld] :
( ~ ( mrel @ SY766 @ SY768 )
| ~ ! [SY769: mworld] :
( ~ ( mrel @ SY768 @ SY769 )
| ( member @ SV106 @ ( power_class @ SY767 ) @ SY769 ) )
| ~ ( ~ ! [SY770: mworld] :
( ~ ( mrel @ SY768 @ SY770 )
| ( member @ SV106 @ universal_class @ SY770 ) )
| ~ ! [SY771: mworld] :
( ~ ( mrel @ SY768 @ SY771 )
| ( subclass @ SV106 @ SY767 @ SY771 ) ) ) )
| ~ ! [SY772: mworld] :
( ~ ( mrel @ SY766 @ SY772 )
| ~ ~ ( ~ ! [SY773: mworld] :
( ~ ( mrel @ SY772 @ SY773 )
| ( member @ SV106 @ universal_class @ SY773 ) )
| ~ ! [SY774: mworld] :
( ~ ( mrel @ SY772 @ SY774 )
| ( subclass @ SV106 @ SY767 @ SY774 ) ) )
| ! [SY775: mworld] :
( ~ ( mrel @ SY772 @ SY775 )
| ( member @ SV106 @ ( power_class @ SY767 ) @ SY775 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(539,plain,
! [SV107: $i,SV24: mworld] :
( ( ( ! [SY776: mworld] :
( ~ ( mrel @ SV24 @ SY776 )
| ! [SY777: $i,SY778: mworld] :
( ~ ( mrel @ SY776 @ SY778 )
| ! [SY779: $i,SY780: mworld] :
( ~ ( mrel @ SY778 @ SY780 )
| ~ ! [SY781: mworld] :
( ~ ( mrel @ SY780 @ SY781 )
| ( qmltpeq @ SV107 @ SY777 @ SY781 ) )
| ! [SY782: mworld] :
( ~ ( mrel @ SY780 @ SY782 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SY779 ) @ ( ordered_pair @ SY777 @ SY779 ) @ SY782 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(540,plain,
! [SV108: $i,SV25: mworld] :
( ( ( ! [SY783: mworld] :
( ~ ( mrel @ SV25 @ SY783 )
| ! [SY784: $i,SY785: mworld] :
( ~ ( mrel @ SY783 @ SY785 )
| ! [SY786: $i,SY787: mworld] :
( ~ ( mrel @ SY785 @ SY787 )
| ~ ~ ( ~ ! [SY788: mworld] :
( ~ ( mrel @ SY787 @ SY788 )
| ( qmltpeq @ SV108 @ SY784 @ SY788 ) )
| ~ ! [SY789: mworld] :
( ~ ( mrel @ SY787 @ SY789 )
| ( subclass @ SV108 @ SY786 @ SY789 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY787 @ SX7 )
| ( subclass @ SY784 @ SY786 @ SX7 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(541,plain,
! [SV109: $i,SV26: mworld] :
( ( ( ! [SY791: mworld] :
( ~ ( mrel @ SV26 @ SY791 )
| ! [SY792: $i] :
~ ( ~ ! [SY793: mworld] :
( ~ ( mrel @ SY791 @ SY793 )
| ~ ! [SY794: mworld] :
( ~ ( mrel @ SY793 @ SY794 )
| ( member @ SY792 @ ( complement @ SV109 ) @ SY794 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY793 @ SX5 )
| ( member @ SY792 @ universal_class @ SX5 ) )
| ~ ! [SY796: mworld] :
( ~ ( mrel @ SY793 @ SY796 )
| ~ ! [SY797: mworld] :
( ~ ( mrel @ SY796 @ SY797 )
| ( member @ SY792 @ SV109 @ SY797 ) ) ) ) )
| ~ ! [SY798: mworld] :
( ~ ( mrel @ SY791 @ SY798 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY798 @ SX5 )
| ( member @ SY792 @ universal_class @ SX5 ) )
| ~ ! [SY800: mworld] :
( ~ ( mrel @ SY798 @ SY800 )
| ~ ! [SY801: mworld] :
( ~ ( mrel @ SY800 @ SY801 )
| ( member @ SY792 @ SV109 @ SY801 ) ) ) )
| ! [SY802: mworld] :
( ~ ( mrel @ SY798 @ SY802 )
| ( member @ SY792 @ ( complement @ SV109 ) @ SY802 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(542,plain,
! [SV110: $i,SV27: mworld] :
( ( ( ! [SY803: mworld] :
( ~ ( mrel @ SV27 @ SY803 )
| ! [SY804: $i,SY805: mworld] :
( ~ ( mrel @ SY803 @ SY805 )
| ! [SY806: $i,SY807: mworld] :
( ~ ( mrel @ SY805 @ SY807 )
| ~ ! [SY808: mworld] :
( ~ ( mrel @ SY807 @ SY808 )
| ( qmltpeq @ SV110 @ SY804 @ SY808 ) )
| ! [SY809: mworld] :
( ~ ( mrel @ SY807 @ SY809 )
| ( qmltpeq @ ( intersection @ SV110 @ SY806 ) @ ( intersection @ SY804 @ SY806 ) @ SY809 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(543,plain,
! [SV111: $i,SV28: mworld] :
( ( ( ! [SY810: mworld] :
( ~ ( mrel @ SV28 @ SY810 )
| ! [SY811: $i,SY812: mworld] :
( ~ ( mrel @ SY810 @ SY812 )
| ! [SY813: $i,SY814: mworld] :
( ~ ( mrel @ SY812 @ SY814 )
| ~ ! [SY815: mworld] :
( ~ ( mrel @ SY814 @ SY815 )
| ( qmltpeq @ SV111 @ SY811 @ SY815 ) )
| ! [SY816: mworld] :
( ~ ( mrel @ SY814 @ SY816 )
| ( qmltpeq @ ( compose @ SV111 @ SY813 ) @ ( compose @ SY811 @ SY813 ) @ SY816 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(544,plain,
! [SV112: $i,SV30: mworld] :
( ( ( ! [SY817: mworld] :
( ~ ( mrel @ SV30 @ SY817 )
| ! [SY818: $i,SY819: mworld] :
( ~ ( mrel @ SY817 @ SY819 )
| ( subclass @ ( compose @ SY818 @ SV112 ) @ ( cross_product @ universal_class @ universal_class ) @ SY819 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(545,plain,
! [SV113: $i,SV31: mworld] :
( ( ( ! [SY820: mworld] :
( ~ ( mrel @ SV31 @ SY820 )
| ! [SY821: $i,SY822: mworld] :
( ~ ( mrel @ SY820 @ SY822 )
| ~ ! [SY823: mworld] :
( ~ ( mrel @ SY822 @ SY823 )
| ( qmltpeq @ SV113 @ SY821 @ SY823 ) )
| ! [SY824: mworld] :
( ~ ( mrel @ SY822 @ SY824 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SY821 ) @ SY824 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(546,plain,
! [SV114: $i,SV32: mworld] :
( ( ( ! [SY825: mworld] :
( ~ ( mrel @ SV32 @ SY825 )
| ! [SY826: $i,SY827: mworld] :
( ~ ( mrel @ SY825 @ SY827 )
| ! [SY828: $i,SY829: mworld] :
( ~ ( mrel @ SY827 @ SY829 )
| ~ ~ ( ~ ! [SY830: mworld] :
( ~ ( mrel @ SY829 @ SY830 )
| ( qmltpeq @ SV114 @ SY826 @ SY830 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY829 @ SX7 )
| ( qmltpeq @ SY826 @ SY828 @ SX7 ) ) )
| ! [SY832: mworld] :
( ~ ( mrel @ SY829 @ SY832 )
| ( qmltpeq @ SV114 @ SY828 @ SY832 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(547,plain,
! [SV115: $i,SV33: mworld] :
( ( ( ! [SY833: mworld] :
( ~ ( mrel @ SV33 @ SY833 )
| ! [SY834: $i] :
~ ( ~ ! [SY835: mworld] :
( ~ ( mrel @ SY833 @ SY835 )
| ~ ! [SY836: mworld] :
( ~ ( mrel @ SY835 @ SY836 )
| ( subclass @ SV115 @ SY834 @ SY836 ) )
| ! [SY837: mworld] :
( ~ ( mrel @ SY835 @ SY837 )
| ! [SY838: $i,SY839: mworld] :
( ~ ( mrel @ SY837 @ SY839 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY839 @ SY840 )
| ( member @ SY838 @ SV115 @ SY840 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY839 @ SX8 )
| ( member @ SY838 @ SY834 @ SX8 ) ) ) ) )
| ~ ! [SY842: mworld] :
( ~ ( mrel @ SY833 @ SY842 )
| ~ ! [SY843: mworld] :
( ~ ( mrel @ SY842 @ SY843 )
| ! [SY844: $i,SY845: mworld] :
( ~ ( mrel @ SY843 @ SY845 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY845 @ SY846 )
| ( member @ SY844 @ SV115 @ SY846 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY845 @ SX8 )
| ( member @ SY844 @ SY834 @ SX8 ) ) ) )
| ! [SY848: mworld] :
( ~ ( mrel @ SY842 @ SY848 )
| ( subclass @ SV115 @ SY834 @ SY848 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(548,plain,
! [SV116: $i,SV34: mworld] :
( ( ( ! [SY849: mworld] :
( ~ ( mrel @ SV34 @ SY849 )
| ! [SY850: $i,SY851: mworld] :
( ~ ( mrel @ SY849 @ SY851 )
| ~ ~ ( ~ ! [SY852: mworld] :
( ~ ( mrel @ SY851 @ SY852 )
| ( qmltpeq @ SV116 @ SY850 @ SY852 ) )
| ~ ! [SY853: mworld] :
( ~ ( mrel @ SY851 @ SY853 )
| ( function @ SV116 @ SY853 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY851 @ SX5 )
| ( function @ SY850 @ SX5 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(549,plain,
! [SV117: $i,SV35: mworld] :
( ( ( ! [SY855: mworld] :
( ~ ( mrel @ SV35 @ SY855 )
| ! [SY856: $i,SY857: mworld] :
( ~ ( mrel @ SY855 @ SY857 )
| ~ ! [SY858: mworld] :
( ~ ( mrel @ SY857 @ SY858 )
| ( qmltpeq @ SV117 @ SY856 @ SY858 ) )
| ! [SY859: mworld] :
( ~ ( mrel @ SY857 @ SY859 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SY856 ) @ SY859 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(550,plain,
! [SV118: $i,SV36: mworld] :
( ( ( ! [SY860: mworld] :
( ~ ( mrel @ SV36 @ SY860 )
| ! [SY861: $i,SY862: mworld] :
( ~ ( mrel @ SY860 @ SY862 )
| ! [SY863: $i,SY864: mworld] :
( ~ ( mrel @ SY862 @ SY864 )
| ~ ! [SY865: mworld] :
( ~ ( mrel @ SY864 @ SY865 )
| ( qmltpeq @ SV118 @ SY861 @ SY865 ) )
| ! [SY866: mworld] :
( ~ ( mrel @ SY864 @ SY866 )
| ( qmltpeq @ ( apply @ SY863 @ SV118 ) @ ( apply @ SY863 @ SY861 ) @ SY866 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(551,plain,
! [SV119: $i,SV37: mworld] :
( ( ( ! [SY867: mworld] :
( ~ ( mrel @ SV37 @ SY867 )
| ! [SY868: $i,SY869: mworld] :
( ~ ( mrel @ SY867 @ SY869 )
| ! [SY870: $i,SY871: mworld] :
( ~ ( mrel @ SY869 @ SY871 )
| ~ ! [SY872: mworld] :
( ~ ( mrel @ SY871 @ SY872 )
| ( qmltpeq @ SV119 @ SY868 @ SY872 ) )
| ! [SY873: mworld] :
( ~ ( mrel @ SY871 @ SY873 )
| ( qmltpeq @ ( cross_product @ SY870 @ SV119 ) @ ( cross_product @ SY870 @ SY868 ) @ SY873 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(552,plain,
! [SV120: $i,SV38: mworld] :
( ( ( ! [SY874: mworld] :
( ~ ( mrel @ SV38 @ SY874 )
| ~ ! [SY875: mworld] :
( ~ ( mrel @ SY874 @ SY875 )
| ( member @ SV120 @ universal_class @ SY875 ) )
| ! [SY876: mworld] :
( ~ ( mrel @ SY874 @ SY876 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SY876 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(553,plain,
! [SV121: $i,SV39: mworld] :
( ( ( ! [SY877: mworld] :
( ~ ( mrel @ SV39 @ SY877 )
| ! [SY878: $i,SY879: mworld] :
( ~ ( mrel @ SY877 @ SY879 )
| ! [SY880: $i,SY881: mworld] :
( ~ ( mrel @ SY879 @ SY881 )
| ~ ~ ( ~ ! [SY882: mworld] :
( ~ ( mrel @ SY881 @ SY882 )
| ( qmltpeq @ SV121 @ SY878 @ SY882 ) )
| ~ ! [SY883: mworld] :
( ~ ( mrel @ SY881 @ SY883 )
| ( subclass @ SY880 @ SV121 @ SY883 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY881 @ SX7 )
| ( subclass @ SY880 @ SY878 @ SX7 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(554,plain,
! [SV122: $i,SV40: mworld] :
( ( ( ! [SY885: mworld] :
( ~ ( mrel @ SV40 @ SY885 )
| ! [SY886: $i,SY887: mworld] :
( ~ ( mrel @ SY885 @ SY887 )
| ! [SY888: $i,SY889: mworld] :
( ~ ( mrel @ SY887 @ SY889 )
| ~ ! [SY890: mworld] :
( ~ ( mrel @ SY889 @ SY890 )
| ( qmltpeq @ SV122 @ SY886 @ SY890 ) )
| ! [SY891: mworld] :
( ~ ( mrel @ SY889 @ SY891 )
| ( qmltpeq @ ( ordered_pair @ SY888 @ SV122 ) @ ( ordered_pair @ SY888 @ SY886 ) @ SY891 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(555,plain,
! [SV123: $i,SV41: mworld] :
( ( ( ! [SY892: mworld] :
( ~ ( mrel @ SV41 @ SY892 )
| ! [SY893: $i,SY894: mworld] :
( ~ ( mrel @ SY892 @ SY894 )
| ! [SY895: $i,SY896: mworld] :
( ~ ( mrel @ SY894 @ SY896 )
| ~ ! [SY897: mworld] :
( ~ ( mrel @ SY896 @ SY897 )
| ( qmltpeq @ SV123 @ SY893 @ SY897 ) )
| ! [SY898: mworld] :
( ~ ( mrel @ SY896 @ SY898 )
| ( qmltpeq @ ( image @ SY895 @ SV123 ) @ ( image @ SY895 @ SY893 ) @ SY898 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(556,plain,
! [SV124: $i,SV42: mworld] :
( ( ( ! [SY899: mworld] :
( ~ ( mrel @ SV42 @ SY899 )
| ! [SY900: $i,SY901: mworld] :
( ~ ( mrel @ SY899 @ SY901 )
| ! [SY902: $i,SY903: mworld] :
( ~ ( mrel @ SY901 @ SY903 )
| ~ ~ ( ~ ! [SY904: mworld] :
( ~ ( mrel @ SY903 @ SY904 )
| ( qmltpeq @ SV124 @ SY900 @ SY904 ) )
| ~ ! [SY905: mworld] :
( ~ ( mrel @ SY903 @ SY905 )
| ( member @ SV124 @ SY902 @ SY905 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY903 @ SX7 )
| ( member @ SY900 @ SY902 @ SX7 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(557,plain,
! [SV125: $i,SV43: mworld] :
( ( ( ! [SY907: mworld] :
( ~ ( mrel @ SV43 @ SY907 )
| ~ ! [SY908: mworld] :
( ~ ( mrel @ SY907 @ SY908 )
| ( member @ SV125 @ universal_class @ SY908 ) )
| ! [SY909: mworld] :
( ~ ( mrel @ SY907 @ SY909 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SY909 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(558,plain,
! [SV126: $i,SV44: mworld] :
( ( ( ! [SY910: mworld] :
( ~ ( mrel @ SV44 @ SY910 )
| ! [SY911: $i,SY912: mworld] :
( ~ ( mrel @ SY910 @ SY912 )
| ! [SY913: $i,SY914: mworld] :
( ~ ( mrel @ SY912 @ SY914 )
| ~ ! [SY915: mworld] :
( ~ ( mrel @ SY914 @ SY915 )
| ( qmltpeq @ SV126 @ SY911 @ SY915 ) )
| ! [SY916: mworld] :
( ~ ( mrel @ SY914 @ SY916 )
| ( qmltpeq @ ( intersection @ SY913 @ SV126 ) @ ( intersection @ SY913 @ SY911 ) @ SY916 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(559,plain,
! [SV127: $i,SV45: mworld] :
( ( ( ! [SY917: mworld] :
( ~ ( mrel @ SV45 @ SY917 )
| ! [SY918: $i,SY919: mworld] :
( ~ ( mrel @ SY917 @ SY919 )
| ~ ~ ( ~ ! [SY920: mworld] :
( ~ ( mrel @ SY919 @ SY920 )
| ( qmltpeq @ SV127 @ SY918 @ SY920 ) )
| ~ ! [SY921: mworld] :
( ~ ( mrel @ SY919 @ SY921 )
| ( inductive @ SV127 @ SY921 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY919 @ SX5 )
| ( inductive @ SY918 @ SX5 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(560,plain,
! [SV128: $i,SV46: mworld] :
( ( ( ! [SY923: mworld] :
( ~ ( mrel @ SV46 @ SY923 )
| ! [SY924: $i,SY925: mworld] :
( ~ ( mrel @ SY923 @ SY925 )
| ! [SY926: $i,SY927: mworld] :
( ~ ( mrel @ SY925 @ SY927 )
| ~ ~ ( ~ ! [SY928: mworld] :
( ~ ( mrel @ SY927 @ SY928 )
| ( qmltpeq @ SV128 @ SY924 @ SY928 ) )
| ~ ! [SY929: mworld] :
( ~ ( mrel @ SY927 @ SY929 )
| ( disjoint @ SV128 @ SY926 @ SY929 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY927 @ SX7 )
| ( disjoint @ SY924 @ SY926 @ SX7 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(561,plain,
( ( ~ ! [SY630: mworld] :
( ~ ( mrel @ mactual @ SY630 )
| ( function @ sK1_SX0 @ SY630 ) )
| ~ ! [SY631: mworld] :
( ~ ( mrel @ mactual @ SY631 )
| ! [SY632: $i,SY633: mworld] :
( ~ ( mrel @ SY631 @ SY633 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY633 @ SX4 )
| ( member @ SY632 @ universal_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY633 @ SX4 )
| ( qmltpeq @ SY632 @ null_class @ SX4 ) )
| ! [SY636: mworld] :
( ~ ( mrel @ SY633 @ SY636 )
| ( member @ ( apply @ sK1_SX0 @ SY632 ) @ SY632 @ SY636 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(562,plain,
! [SV129: $i,SV47: mworld] :
( ( ( ! [SY931: mworld] :
( ~ ( mrel @ SV47 @ SY931 )
| ( subclass @ ( flip @ SV129 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY931 ) ) )
= $true )
| ( ( mrel @ mactual @ SV47 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(563,plain,
! [SV130: $i,SV48: mworld] :
( ( ( ! [SY932: mworld] :
( ~ ( mrel @ SV48 @ SY932 )
| ! [SY933: $i] :
~ ( ~ ! [SY934: mworld] :
( ~ ( mrel @ SY932 @ SY934 )
| ~ ! [SY935: mworld] :
( ~ ( mrel @ SY934 @ SY935 )
| ( qmltpeq @ SV130 @ SY933 @ SY935 ) )
| ~ ( ~ ! [SY936: mworld] :
( ~ ( mrel @ SY934 @ SY936 )
| ( subclass @ SV130 @ SY933 @ SY936 ) )
| ~ ! [SY937: mworld] :
( ~ ( mrel @ SY934 @ SY937 )
| ( subclass @ SY933 @ SV130 @ SY937 ) ) ) )
| ~ ! [SY938: mworld] :
( ~ ( mrel @ SY932 @ SY938 )
| ~ ~ ( ~ ! [SY939: mworld] :
( ~ ( mrel @ SY938 @ SY939 )
| ( subclass @ SV130 @ SY933 @ SY939 ) )
| ~ ! [SY940: mworld] :
( ~ ( mrel @ SY938 @ SY940 )
| ( subclass @ SY933 @ SV130 @ SY940 ) ) )
| ! [SY941: mworld] :
( ~ ( mrel @ SY938 @ SY941 )
| ( qmltpeq @ SV130 @ SY933 @ SY941 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(564,plain,
! [SV131: $i,SV49: mworld] :
( ( ( ! [SY942: mworld] :
( ~ ( mrel @ SV49 @ SY942 )
| ( qmltpeq @ SV131 @ SV131 @ SY942 ) ) )
= $true )
| ( ( mrel @ mactual @ SV49 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(565,plain,
! [SV132: $i,SV50: mworld] :
( ( ( ! [SY943: mworld] :
( ~ ( mrel @ SV50 @ SY943 )
| ! [SY944: $i,SY945: mworld] :
( ~ ( mrel @ SY943 @ SY945 )
| ~ ! [SY946: mworld] :
( ~ ( mrel @ SY945 @ SY946 )
| ( qmltpeq @ SV132 @ SY944 @ SY946 ) )
| ! [SY947: mworld] :
( ~ ( mrel @ SY945 @ SY947 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SY944 ) @ SY947 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(566,plain,
! [SV133: $i,SV51: mworld] :
( ( ( ! [SY948: mworld] :
( ~ ( mrel @ SV51 @ SY948 )
| ! [SY949: $i,SY950: mworld] :
( ~ ( mrel @ SY948 @ SY950 )
| ~ ! [SY951: mworld] :
( ~ ( mrel @ SY950 @ SY951 )
| ( qmltpeq @ SV133 @ SY949 @ SY951 ) )
| ! [SY952: mworld] :
( ~ ( mrel @ SY950 @ SY952 )
| ( qmltpeq @ SY949 @ SV133 @ SY952 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(567,plain,
( ( mrel @ mactual @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(568,plain,
( ( ! [SY953: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY953 )
| ( subclass @ sK4_SY637 @ sK4_SY637 @ SY953 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[483]) ).
thf(569,plain,
( ( ~ ! [SY639: mworld] :
( ~ ( mrel @ mactual @ SY639 )
| ( member @ sK3_SX0 @ universal_class @ SY639 ) )
| ~ ~ ( ~ ! [SY640: mworld] :
( ~ ( mrel @ mactual @ SY640 )
| ( inductive @ sK3_SX0 @ SY640 ) )
| ~ ! [SY641: mworld] :
( ~ ( mrel @ mactual @ SY641 )
| ! [SY642: $i,SY643: mworld] :
( ~ ( mrel @ SY641 @ SY643 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY643 @ SX4 )
| ( inductive @ SY642 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY643 @ SY645 )
| ( subclass @ sK3_SX0 @ SY642 @ SY645 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(570,plain,
! [SV134: $i,SV52: mworld] :
( ( ( ! [SY954: mworld] :
( ~ ( mrel @ SV52 @ SY954 )
| ! [SY955: $i,SY956: mworld] :
( ~ ( mrel @ SY954 @ SY956 )
| ~ ! [SY957: mworld] :
( ~ ( mrel @ SY956 @ SY957 )
| ( qmltpeq @ SV134 @ SY955 @ SY957 ) )
| ! [SY958: mworld] :
( ~ ( mrel @ SY956 @ SY958 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SY955 ) @ SY958 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(571,plain,
! [SV135: $i,SV53: mworld] :
( ( ( ! [SY959: mworld] :
( ~ ( mrel @ SV53 @ SY959 )
| ~ ! [SY960: mworld] :
( ~ ( mrel @ SY959 @ SY960 )
| ( member @ SV135 @ null_class @ SY960 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(572,plain,
! [SV136: $i,SV54: mworld] :
( ( ( ! [SY961: mworld] :
( ~ ( mrel @ SV54 @ SY961 )
| ! [SY962: $i,SY963: mworld] :
( ~ ( mrel @ SY961 @ SY963 )
| ! [SY964: $i,SY965: mworld] :
( ~ ( mrel @ SY963 @ SY965 )
| ~ ~ ( ~ ! [SY966: mworld] :
( ~ ( mrel @ SY965 @ SY966 )
| ( qmltpeq @ SV136 @ SY962 @ SY966 ) )
| ~ ! [SY967: mworld] :
( ~ ( mrel @ SY965 @ SY967 )
| ( disjoint @ SY964 @ SV136 @ SY967 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY965 @ SX7 )
| ( disjoint @ SY964 @ SY962 @ SX7 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(573,plain,
! [SV137: $i,SV55: mworld] :
( ( ( ~ ( ~ ! [SY969: mworld] :
( ~ ( mrel @ SV55 @ SY969 )
| ~ ! [SY970: mworld] :
( ~ ( mrel @ SY969 @ SY970 )
| ( function @ SV137 @ SY970 ) )
| ~ ( ~ ! [SY971: mworld] :
( ~ ( mrel @ SY969 @ SY971 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY971 ) )
| ~ ! [SY972: mworld] :
( ~ ( mrel @ SY969 @ SY972 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY972 ) ) ) )
| ~ ! [SY973: mworld] :
( ~ ( mrel @ SV55 @ SY973 )
| ~ ~ ( ~ ! [SY974: mworld] :
( ~ ( mrel @ SY973 @ SY974 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY974 ) )
| ~ ! [SY975: mworld] :
( ~ ( mrel @ SY973 @ SY975 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY975 ) ) )
| ! [SY976: mworld] :
( ~ ( mrel @ SY973 @ SY976 )
| ( function @ SV137 @ SY976 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(574,plain,
! [SV138: $i,SV56: mworld] :
( ( ( ! [SY977: mworld] :
( ~ ( mrel @ SV56 @ SY977 )
| ! [SY978: $i] :
~ ( ~ ! [SY979: mworld] :
( ~ ( mrel @ SY977 @ SY979 )
| ~ ! [SY980: mworld] :
( ~ ( mrel @ SY979 @ SY980 )
| ( disjoint @ SV138 @ SY978 @ SY980 ) )
| ! [SY981: mworld] :
( ~ ( mrel @ SY979 @ SY981 )
| ! [SY982: $i,SY983: mworld] :
( ~ ( mrel @ SY981 @ SY983 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY983 @ SY984 )
| ( member @ SY982 @ SV138 @ SY984 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY983 @ SX8 )
| ( member @ SY982 @ SY978 @ SX8 ) ) ) ) ) )
| ~ ! [SY986: mworld] :
( ~ ( mrel @ SY977 @ SY986 )
| ~ ! [SY987: mworld] :
( ~ ( mrel @ SY986 @ SY987 )
| ! [SY988: $i,SY989: mworld] :
( ~ ( mrel @ SY987 @ SY989 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY989 @ SY990 )
| ( member @ SY988 @ SV138 @ SY990 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY989 @ SX8 )
| ( member @ SY988 @ SY978 @ SX8 ) ) ) ) )
| ! [SY992: mworld] :
( ~ ( mrel @ SY986 @ SY992 )
| ( disjoint @ SV138 @ SY978 @ SY992 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(575,plain,
! [SV139: $i,SV57: mworld] :
( ( ( ! [SY993: mworld] :
( ~ ( mrel @ SV57 @ SY993 )
| ! [SY994: $i] :
~ ( ~ ! [SY995: mworld] :
( ~ ( mrel @ SY993 @ SY995 )
| ~ ! [SY996: mworld] :
( ~ ( mrel @ SY995 @ SY996 )
| ( member @ ( ordered_pair @ SV139 @ SY994 ) @ successor_relation @ SY996 ) )
| ~ ( ~ ! [SY997: mworld] :
( ~ ( mrel @ SY995 @ SY997 )
| ( member @ SV139 @ universal_class @ SY997 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY995 @ SX5 )
| ( member @ SY994 @ universal_class @ SX5 ) )
| ~ ! [SY999: mworld] :
( ~ ( mrel @ SY995 @ SY999 )
| ( qmltpeq @ ( successor @ SV139 ) @ SY994 @ SY999 ) ) ) ) )
| ~ ! [SY1000: mworld] :
( ~ ( mrel @ SY993 @ SY1000 )
| ~ ~ ( ~ ! [SY1001: mworld] :
( ~ ( mrel @ SY1000 @ SY1001 )
| ( member @ SV139 @ universal_class @ SY1001 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1000 @ SX5 )
| ( member @ SY994 @ universal_class @ SX5 ) )
| ~ ! [SY1003: mworld] :
( ~ ( mrel @ SY1000 @ SY1003 )
| ( qmltpeq @ ( successor @ SV139 ) @ SY994 @ SY1003 ) ) ) )
| ! [SY1004: mworld] :
( ~ ( mrel @ SY1000 @ SY1004 )
| ( member @ ( ordered_pair @ SV139 @ SY994 ) @ successor_relation @ SY1004 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(576,plain,
! [SV140: $i,SV58: mworld] :
( ( ( ! [SY1005: mworld] :
( ~ ( mrel @ SV58 @ SY1005 )
| ! [SY1006: $i,SY1007: mworld] :
( ~ ( mrel @ SY1005 @ SY1007 )
| ! [SY1008: $i] :
~ ( ~ ! [SY1009: mworld] :
( ~ ( mrel @ SY1007 @ SY1009 )
| ~ ! [SY1010: mworld] :
( ~ ( mrel @ SY1009 @ SY1010 )
| ( member @ SV140 @ ( unordered_pair @ SY1006 @ SY1008 ) @ SY1010 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY1009 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1012: mworld] :
( ~ ( mrel @ SY1009 @ SY1012 )
| ( qmltpeq @ SV140 @ SY1006 @ SY1012 ) )
| ! [SY1013: mworld] :
( ~ ( mrel @ SY1009 @ SY1013 )
| ( qmltpeq @ SV140 @ SY1008 @ SY1013 ) ) ) ) )
| ~ ! [SY1014: mworld] :
( ~ ( mrel @ SY1007 @ SY1014 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY1014 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1016: mworld] :
( ~ ( mrel @ SY1014 @ SY1016 )
| ( qmltpeq @ SV140 @ SY1006 @ SY1016 ) )
| ! [SY1017: mworld] :
( ~ ( mrel @ SY1014 @ SY1017 )
| ( qmltpeq @ SV140 @ SY1008 @ SY1017 ) ) ) )
| ! [SY1018: mworld] :
( ~ ( mrel @ SY1014 @ SY1018 )
| ( member @ SV140 @ ( unordered_pair @ SY1006 @ SY1008 ) @ SY1018 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(577,plain,
! [SV141: $i,SV60: mworld] :
( ( ( ! [SY1019: mworld] :
( ~ ( mrel @ SV60 @ SY1019 )
| ! [SY1020: $i,SY1021: mworld] :
( ~ ( mrel @ SY1019 @ SY1021 )
| ! [SY1022: $i,SY1023: mworld] :
( ~ ( mrel @ SY1021 @ SY1023 )
| ~ ! [SY1024: mworld] :
( ~ ( mrel @ SY1023 @ SY1024 )
| ( member @ SY1022 @ ( cross_product @ SV141 @ SY1020 ) @ SY1024 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1023 @ SX7 )
| ( qmltpeq @ SY1022 @ ( ordered_pair @ ( first @ SY1022 ) @ ( second @ SY1022 ) ) @ SX7 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(578,plain,
! [SV142: $i,SV61: mworld] :
( ( ( ~ ( ~ ! [SY1026: mworld] :
( ~ ( mrel @ SV61 @ SY1026 )
| ~ ! [SY1027: mworld] :
( ~ ( mrel @ SY1026 @ SY1027 )
| ( inductive @ SV142 @ SY1027 ) )
| ~ ( ~ ! [SY1028: mworld] :
( ~ ( mrel @ SY1026 @ SY1028 )
| ( member @ null_class @ SV142 @ SY1028 ) )
| ~ ! [SY1029: mworld] :
( ~ ( mrel @ SY1026 @ SY1029 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1029 ) ) ) )
| ~ ! [SY1030: mworld] :
( ~ ( mrel @ SV61 @ SY1030 )
| ~ ~ ( ~ ! [SY1031: mworld] :
( ~ ( mrel @ SY1030 @ SY1031 )
| ( member @ null_class @ SV142 @ SY1031 ) )
| ~ ! [SY1032: mworld] :
( ~ ( mrel @ SY1030 @ SY1032 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1032 ) ) )
| ! [SY1033: mworld] :
( ~ ( mrel @ SY1030 @ SY1033 )
| ( inductive @ SV142 @ SY1033 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(579,plain,
! [SV143: $i,SV62: mworld] :
( ( ( ! [SY1034: mworld] :
( ~ ( mrel @ SV62 @ SY1034 )
| ! [SY1035: $i,SY1036: mworld] :
( ~ ( mrel @ SY1034 @ SY1036 )
| ! [SY1037: $i,SY1038: mworld] :
( ~ ( mrel @ SY1036 @ SY1038 )
| ! [SY1039: $i] :
~ ( ~ ! [SY1040: mworld] :
( ~ ( mrel @ SY1038 @ SY1040 )
| ~ ! [SY1041: mworld] :
( ~ ( mrel @ SY1040 @ SY1041 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1035 @ SY1037 ) @ SY1039 ) @ ( rotate @ SV143 ) @ SY1041 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1040 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1035 @ SY1037 ) @ SY1039 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SY1043: mworld] :
( ~ ( mrel @ SY1040 @ SY1043 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1037 @ SY1039 ) @ SY1035 ) @ SV143 @ SY1043 ) ) ) )
| ~ ! [SY1044: mworld] :
( ~ ( mrel @ SY1038 @ SY1044 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1044 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1035 @ SY1037 ) @ SY1039 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SY1046: mworld] :
( ~ ( mrel @ SY1044 @ SY1046 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1037 @ SY1039 ) @ SY1035 ) @ SV143 @ SY1046 ) ) )
| ! [SY1047: mworld] :
( ~ ( mrel @ SY1044 @ SY1047 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1035 @ SY1037 ) @ SY1039 ) @ ( rotate @ SV143 ) @ SY1047 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(580,plain,
! [SV144: $i,SV63: mworld] :
( ( ( ! [SY1048: mworld] :
( ~ ( mrel @ SV63 @ SY1048 )
| ! [SY1049: $i,SY1050: mworld] :
( ~ ( mrel @ SY1048 @ SY1050 )
| ~ ! [SY1051: mworld] :
( ~ ( mrel @ SY1050 @ SY1051 )
| ( qmltpeq @ SV144 @ SY1049 @ SY1051 ) )
| ! [SY1052: mworld] :
( ~ ( mrel @ SY1050 @ SY1052 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SY1049 ) @ SY1052 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(581,plain,
! [SV145: $i,SV64: mworld] :
( ( ( ! [SY1053: mworld] :
( ~ ( mrel @ SV64 @ SY1053 )
| ~ ! [SY1054: mworld] :
( ~ ( mrel @ SY1053 @ SY1054 )
| ~ ! [SY1055: mworld] :
( ~ ( mrel @ SY1054 @ SY1055 )
| ( qmltpeq @ SV145 @ null_class @ SY1055 ) ) )
| ~ ! [SY1056: $i] :
~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY1053 @ SX4 )
| ( member @ SY1056 @ universal_class @ SX4 ) )
| ~ ~ ( ~ ! [SY1058: mworld] :
( ~ ( mrel @ SY1053 @ SY1058 )
| ( member @ SY1056 @ SV145 @ SY1058 ) )
| ~ ! [SY1059: mworld] :
( ~ ( mrel @ SY1053 @ SY1059 )
| ( disjoint @ SY1056 @ SV145 @ SY1059 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(582,plain,
! [SV146: $i,SV65: mworld] :
( ( ( ! [SY1060: mworld] :
( ~ ( mrel @ SV65 @ SY1060 )
| ! [SY1061: $i] :
~ ( ~ ! [SY1062: mworld] :
( ~ ( mrel @ SY1060 @ SY1062 )
| ~ ! [SY1063: mworld] :
( ~ ( mrel @ SY1062 @ SY1063 )
| ( member @ ( ordered_pair @ SV146 @ SY1061 ) @ element_relation @ SY1063 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1062 @ SX5 )
| ( member @ SY1061 @ universal_class @ SX5 ) )
| ~ ! [SY1065: mworld] :
( ~ ( mrel @ SY1062 @ SY1065 )
| ( member @ SV146 @ SY1061 @ SY1065 ) ) ) )
| ~ ! [SY1066: mworld] :
( ~ ( mrel @ SY1060 @ SY1066 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1066 @ SX5 )
| ( member @ SY1061 @ universal_class @ SX5 ) )
| ~ ! [SY1068: mworld] :
( ~ ( mrel @ SY1066 @ SY1068 )
| ( member @ SV146 @ SY1061 @ SY1068 ) ) )
| ! [SY1069: mworld] :
( ~ ( mrel @ SY1066 @ SY1069 )
| ( member @ ( ordered_pair @ SV146 @ SY1061 ) @ element_relation @ SY1069 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(583,plain,
! [SV147: $i,SV66: mworld] :
( ( ( ! [SY1070: mworld] :
( ~ ( mrel @ SV66 @ SY1070 )
| ! [SY1071: $i,SY1072: mworld] :
( ~ ( mrel @ SY1070 @ SY1072 )
| ! [SY1073: $i,SY1074: mworld] :
( ~ ( mrel @ SY1072 @ SY1074 )
| ~ ! [SY1075: mworld] :
( ~ ( mrel @ SY1074 @ SY1075 )
| ( qmltpeq @ SV147 @ SY1071 @ SY1075 ) )
| ! [SY1076: mworld] :
( ~ ( mrel @ SY1074 @ SY1076 )
| ( qmltpeq @ ( unordered_pair @ SY1073 @ SV147 ) @ ( unordered_pair @ SY1073 @ SY1071 ) @ SY1076 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(584,plain,
! [SV148: $i,SV67: mworld] :
( ( ( ! [SY1077: mworld] :
( ~ ( mrel @ SV67 @ SY1077 )
| ( subclass @ SV148 @ universal_class @ SY1077 ) ) )
= $true )
| ( ( mrel @ mactual @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(585,plain,
! [SV149: $i,SV68: mworld] :
( ( ( ! [SY1078: mworld] :
( ~ ( mrel @ SV68 @ SY1078 )
| ! [SY1079: $i,SY1080: mworld] :
( ~ ( mrel @ SY1078 @ SY1080 )
| ! [SY1081: $i,SY1082: mworld] :
( ~ ( mrel @ SY1080 @ SY1082 )
| ~ ! [SY1083: mworld] :
( ~ ( mrel @ SY1082 @ SY1083 )
| ( qmltpeq @ SV149 @ SY1079 @ SY1083 ) )
| ! [SY1084: mworld] :
( ~ ( mrel @ SY1082 @ SY1084 )
| ( qmltpeq @ ( image @ SV149 @ SY1081 ) @ ( image @ SY1079 @ SY1081 ) @ SY1084 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(586,plain,
! [SV150: $i,SV69: mworld] :
( ( ( ! [SY1085: mworld] :
( ~ ( mrel @ SV69 @ SY1085 )
| ! [SY1086: $i,SY1087: mworld] :
( ~ ( mrel @ SY1085 @ SY1087 )
| ! [SY1088: $i,SY1089: mworld] :
( ~ ( mrel @ SY1087 @ SY1089 )
| ~ ! [SY1090: mworld] :
( ~ ( mrel @ SY1089 @ SY1090 )
| ( qmltpeq @ SV150 @ SY1086 @ SY1090 ) )
| ! [SY1091: mworld] :
( ~ ( mrel @ SY1089 @ SY1091 )
| ( qmltpeq @ ( cross_product @ SV150 @ SY1088 ) @ ( cross_product @ SY1086 @ SY1088 ) @ SY1091 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(587,plain,
! [SV151: $i,SV70: mworld] :
( ( ( ! [SY1092: mworld] :
( ~ ( mrel @ SV70 @ SY1092 )
| ! [SY1093: $i,SY1094: mworld] :
( ~ ( mrel @ SY1092 @ SY1094 )
| ! [SY1095: $i,SY1096: mworld] :
( ~ ( mrel @ SY1094 @ SY1096 )
| ~ ! [SY1097: mworld] :
( ~ ( mrel @ SY1096 @ SY1097 )
| ( qmltpeq @ SV151 @ SY1093 @ SY1097 ) )
| ! [SY1098: mworld] :
( ~ ( mrel @ SY1096 @ SY1098 )
| ( qmltpeq @ ( union @ SV151 @ SY1095 ) @ ( union @ SY1093 @ SY1095 ) @ SY1098 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(588,plain,
! [SV152: $i,SV71: mworld] :
( ( ( ! [SY1099: mworld] :
( ~ ( mrel @ SV71 @ SY1099 )
| ! [SY1100: $i,SY1101: mworld] :
( ~ ( mrel @ SY1099 @ SY1101 )
| ! [SY1102: $i,SY1103: mworld] :
( ~ ( mrel @ SY1101 @ SY1103 )
| ~ ~ ( ~ ! [SY1104: mworld] :
( ~ ( mrel @ SY1103 @ SY1104 )
| ( qmltpeq @ SV152 @ SY1100 @ SY1104 ) )
| ~ ! [SY1105: mworld] :
( ~ ( mrel @ SY1103 @ SY1105 )
| ( member @ SY1102 @ SV152 @ SY1105 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1103 @ SX7 )
| ( member @ SY1102 @ SY1100 @ SX7 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(589,plain,
! [SV153: $i,SV72: mworld] :
( ( ( ! [SY1107: mworld] :
( ~ ( mrel @ SV72 @ SY1107 )
| ( qmltpeq @ ( range_of @ SV153 ) @ ( domain_of @ ( inverse @ SV153 ) ) @ SY1107 ) ) )
= $true )
| ( ( mrel @ mactual @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(590,plain,
! [SV154: $i,SV73: mworld] :
( ( ( ! [SY1108: mworld] :
( ~ ( mrel @ SV73 @ SY1108 )
| ! [SY1109: $i,SY1110: mworld] :
( ~ ( mrel @ SY1108 @ SY1110 )
| ( qmltpeq @ ( ordered_pair @ SV154 @ SY1109 ) @ ( unordered_pair @ ( singleton @ SV154 ) @ ( unordered_pair @ SV154 @ ( singleton @ SY1109 ) ) ) @ SY1110 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(591,plain,
! [SV155: $i,SV74: mworld] :
( ( ( ! [SY1111: mworld] :
( ~ ( mrel @ SV74 @ SY1111 )
| ! [SY1112: $i,SY1113: mworld] :
( ~ ( mrel @ SY1111 @ SY1113 )
| ! [SY1114: $i,SY1115: mworld] :
( ~ ( mrel @ SY1113 @ SY1115 )
| ~ ! [SY1116: mworld] :
( ~ ( mrel @ SY1115 @ SY1116 )
| ( qmltpeq @ SV155 @ SY1112 @ SY1116 ) )
| ! [SY1117: mworld] :
( ~ ( mrel @ SY1115 @ SY1117 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SY1114 ) @ ( unordered_pair @ SY1112 @ SY1114 ) @ SY1117 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(592,plain,
! [SV156: $i,SV75: mworld] :
( ( ( ! [SY1118: mworld] :
( ~ ( mrel @ SV75 @ SY1118 )
| ! [SY1119: $i,SY1120: mworld] :
( ~ ( mrel @ SY1118 @ SY1120 )
| ( qmltpeq @ ( image @ SY1119 @ SV156 ) @ ( range_of @ ( restrict @ SY1119 @ SV156 @ universal_class ) ) @ SY1120 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(593,plain,
! [SV157: $i,SV76: mworld] :
( ( ( ! [SY1121: mworld] :
( ~ ( mrel @ SV76 @ SY1121 )
| ! [SY1122: $i,SY1123: mworld] :
( ~ ( mrel @ SY1121 @ SY1123 )
| ! [SY1124: $i,SY1125: mworld] :
( ~ ( mrel @ SY1123 @ SY1125 )
| ! [SY1126: $i] :
~ ( ~ ! [SY1127: mworld] :
( ~ ( mrel @ SY1125 @ SY1127 )
| ~ ! [SY1128: mworld] :
( ~ ( mrel @ SY1127 @ SY1128 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1122 ) @ SY1124 ) @ ( flip @ SY1126 ) @ SY1128 ) )
| ~ ( ~ ! [SY1129: mworld] :
( ~ ( mrel @ SY1127 @ SY1129 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1122 ) @ SY1124 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1129 ) )
| ~ ! [SY1130: mworld] :
( ~ ( mrel @ SY1127 @ SY1130 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1122 @ SV157 ) @ SY1124 ) @ SY1126 @ SY1130 ) ) ) )
| ~ ! [SY1131: mworld] :
( ~ ( mrel @ SY1125 @ SY1131 )
| ~ ~ ( ~ ! [SY1132: mworld] :
( ~ ( mrel @ SY1131 @ SY1132 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1122 ) @ SY1124 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1132 ) )
| ~ ! [SY1133: mworld] :
( ~ ( mrel @ SY1131 @ SY1133 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1122 @ SV157 ) @ SY1124 ) @ SY1126 @ SY1133 ) ) )
| ! [SY1134: mworld] :
( ~ ( mrel @ SY1131 @ SY1134 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1122 ) @ SY1124 ) @ ( flip @ SY1126 ) @ SY1134 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(594,plain,
! [SV158: $i,SV77: mworld] :
( ( ( ! [SY1135: mworld] :
( ~ ( mrel @ SV77 @ SY1135 )
| ! [SY1136: $i,SY1137: mworld] :
( ~ ( mrel @ SY1135 @ SY1137 )
| ! [SY1138: $i,SY1139: mworld] :
( ~ ( mrel @ SY1137 @ SY1139 )
| ! [SY1140: $i] :
~ ( ~ ! [SY1141: mworld] :
( ~ ( mrel @ SY1139 @ SY1141 )
| ~ ! [SY1142: mworld] :
( ~ ( mrel @ SY1141 @ SY1142 )
| ( member @ ( ordered_pair @ SY1138 @ SY1140 ) @ ( compose @ SY1136 @ SV158 ) @ SY1142 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1141 @ SX9 )
| ( member @ SY1138 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1141 @ SX9 )
| ( member @ SY1140 @ ( image @ SY1136 @ ( image @ SY1136 @ ( singleton @ SY1138 ) ) ) @ SX9 ) ) ) )
| ~ ! [SY1145: mworld] :
( ~ ( mrel @ SY1139 @ SY1145 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1145 @ SX9 )
| ( member @ SY1138 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1145 @ SX9 )
| ( member @ SY1140 @ ( image @ SY1136 @ ( image @ SY1136 @ ( singleton @ SY1138 ) ) ) @ SX9 ) ) )
| ! [SY1148: mworld] :
( ~ ( mrel @ SY1145 @ SY1148 )
| ( member @ ( ordered_pair @ SY1138 @ SY1140 ) @ ( compose @ SY1136 @ SV158 ) @ SY1148 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(595,plain,
! [SV159: $i,SV78: mworld] :
( ( ( ! [SY1149: mworld] :
( ~ ( mrel @ SV78 @ SY1149 )
| ! [SY1150: $i,SY1151: mworld] :
( ~ ( mrel @ SY1149 @ SY1151 )
| ! [SY1152: $i,SY1153: mworld] :
( ~ ( mrel @ SY1151 @ SY1153 )
| ! [SY1154: $i] :
~ ( ~ ! [SY1155: mworld] :
( ~ ( mrel @ SY1153 @ SY1155 )
| ~ ! [SY1156: mworld] :
( ~ ( mrel @ SY1155 @ SY1156 )
| ( member @ ( ordered_pair @ SV159 @ SY1150 ) @ ( cross_product @ SY1152 @ SY1154 ) @ SY1156 ) )
| ~ ( ~ ! [SY1157: mworld] :
( ~ ( mrel @ SY1155 @ SY1157 )
| ( member @ SV159 @ SY1152 @ SY1157 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1155 @ SX9 )
| ( member @ SY1150 @ SY1154 @ SX9 ) ) ) )
| ~ ! [SY1159: mworld] :
( ~ ( mrel @ SY1153 @ SY1159 )
| ~ ~ ( ~ ! [SY1160: mworld] :
( ~ ( mrel @ SY1159 @ SY1160 )
| ( member @ SV159 @ SY1152 @ SY1160 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1159 @ SX9 )
| ( member @ SY1150 @ SY1154 @ SX9 ) ) )
| ! [SY1162: mworld] :
( ~ ( mrel @ SY1159 @ SY1162 )
| ( member @ ( ordered_pair @ SV159 @ SY1150 ) @ ( cross_product @ SY1152 @ SY1154 ) @ SY1162 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(596,plain,
! [SV160: $i,SV79: mworld] :
( ( ( ! [SY1163: mworld] :
( ~ ( mrel @ SV79 @ SY1163 )
| ! [SY1164: $i,SY1165: mworld] :
( ~ ( mrel @ SY1163 @ SY1165 )
| ~ ! [SY1166: mworld] :
( ~ ( mrel @ SY1165 @ SY1166 )
| ( qmltpeq @ SV160 @ SY1164 @ SY1166 ) )
| ! [SY1167: mworld] :
( ~ ( mrel @ SY1165 @ SY1167 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SY1164 ) @ SY1167 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(597,plain,
! [SV161: $i,SV80: mworld] :
( ( ( ! [SY1168: mworld] :
( ~ ( mrel @ SV80 @ SY1168 )
| ! [SY1169: $i,SY1170: mworld] :
( ~ ( mrel @ SY1168 @ SY1170 )
| ! [SY1171: $i] :
~ ( ~ ! [SY1172: mworld] :
( ~ ( mrel @ SY1170 @ SY1172 )
| ~ ! [SY1173: mworld] :
( ~ ( mrel @ SY1172 @ SY1173 )
| ( member @ SY1171 @ ( intersection @ SV161 @ SY1169 ) @ SY1173 ) )
| ~ ( ~ ! [SY1174: mworld] :
( ~ ( mrel @ SY1172 @ SY1174 )
| ( member @ SY1171 @ SV161 @ SY1174 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1172 @ SX7 )
| ( member @ SY1171 @ SY1169 @ SX7 ) ) ) )
| ~ ! [SY1176: mworld] :
( ~ ( mrel @ SY1170 @ SY1176 )
| ~ ~ ( ~ ! [SY1177: mworld] :
( ~ ( mrel @ SY1176 @ SY1177 )
| ( member @ SY1171 @ SV161 @ SY1177 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1176 @ SX7 )
| ( member @ SY1171 @ SY1169 @ SX7 ) ) )
| ! [SY1179: mworld] :
( ~ ( mrel @ SY1176 @ SY1179 )
| ( member @ SY1171 @ ( intersection @ SV161 @ SY1169 ) @ SY1179 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(598,plain,
! [SV162: $i,SV81: mworld] :
( ( ( ! [SY1180: mworld] :
( ~ ( mrel @ SV81 @ SY1180 )
| ! [SY1181: $i,SY1182: mworld] :
( ~ ( mrel @ SY1180 @ SY1182 )
| ~ ! [SY1183: mworld] :
( ~ ( mrel @ SY1182 @ SY1183 )
| ( qmltpeq @ SV162 @ SY1181 @ SY1183 ) )
| ! [SY1184: mworld] :
( ~ ( mrel @ SY1182 @ SY1184 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SY1181 ) @ SY1184 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(599,plain,
! [SV163: $i,SV82: mworld] :
( ( ( ! [SY1185: mworld] :
( ~ ( mrel @ SV82 @ SY1185 )
| ! [SY1186: $i,SY1187: mworld] :
( ~ ( mrel @ SY1185 @ SY1187 )
| ~ ! [SY1188: mworld] :
( ~ ( mrel @ SY1187 @ SY1188 )
| ( qmltpeq @ SV163 @ SY1186 @ SY1188 ) )
| ! [SY1189: mworld] :
( ~ ( mrel @ SY1187 @ SY1189 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SY1186 ) @ SY1189 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(600,plain,
! [SV164: $i,SV83: mworld] :
( ( ( ! [SY1190: mworld] :
( ~ ( mrel @ SV83 @ SY1190 )
| ! [SY1191: $i,SY1192: mworld] :
( ~ ( mrel @ SY1190 @ SY1192 )
| ~ ! [SY1193: mworld] :
( ~ ( mrel @ SY1192 @ SY1193 )
| ( qmltpeq @ SV164 @ SY1191 @ SY1193 ) )
| ! [SY1194: mworld] :
( ~ ( mrel @ SY1192 @ SY1194 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SY1191 ) @ SY1194 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(601,plain,
! [SV85: mworld,SV84: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV84 ) )
= $true )
| ( ( ~ ( mrel @ SV84 @ SV85 ) )
= $true )
| ( ( mrel @ SV2 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(602,plain,
! [SV86: $i,SV165: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV165 )
| ! [SY1195: $i,SY1196: mworld] :
( ~ ( mrel @ SV165 @ SY1196 )
| ! [SY649: $i,SY650: mworld] :
( ~ ( mrel @ SY1196 @ SY650 )
| ! [SY651: $i,SY652: mworld] :
( ~ ( mrel @ SY650 @ SY652 )
| ~ ! [SY653: mworld] :
( ~ ( mrel @ SY652 @ SY653 )
| ( qmltpeq @ SV86 @ SY1195 @ SY653 ) )
| ! [SY654: mworld] :
( ~ ( mrel @ SY652 @ SY654 )
| ( qmltpeq @ ( restrict @ SY649 @ SV86 @ SY651 ) @ ( restrict @ SY649 @ SY1195 @ SY651 ) @ SY654 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(603,plain,
! [SV87: $i,SV166: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV166 )
| ! [SY1203: $i] :
~ ( ~ ! [SY1204: mworld] :
( ~ ( mrel @ SV166 @ SY1204 )
| ~ ! [SY658: mworld] :
( ~ ( mrel @ SY1204 @ SY658 )
| ( member @ SY1203 @ ( domain_of @ SV87 ) @ SY658 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1204 @ SX5 )
| ( member @ SY1203 @ universal_class @ SX5 ) )
| ~ ! [SY660: mworld] :
( ~ ( mrel @ SY1204 @ SY660 )
| ~ ! [SY661: mworld] :
( ~ ( mrel @ SY660 @ SY661 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SY1203 ) @ universal_class ) @ null_class @ SY661 ) ) ) ) )
| ~ ! [SY1209: mworld] :
( ~ ( mrel @ SV166 @ SY1209 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1209 @ SX5 )
| ( member @ SY1203 @ universal_class @ SX5 ) )
| ~ ! [SY664: mworld] :
( ~ ( mrel @ SY1209 @ SY664 )
| ~ ! [SY665: mworld] :
( ~ ( mrel @ SY664 @ SY665 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SY1203 ) @ universal_class ) @ null_class @ SY665 ) ) ) )
| ! [SY666: mworld] :
( ~ ( mrel @ SY1209 @ SY666 )
| ( member @ SY1203 @ ( domain_of @ SV87 ) @ SY666 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(604,plain,
! [SV88: $i,SV167: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV167 )
| ! [SY1214: $i,SY1215: mworld] :
( ~ ( mrel @ SV167 @ SY1215 )
| ! [SY670: $i,SY671: mworld] :
( ~ ( mrel @ SY1215 @ SY671 )
| ~ ! [SY672: mworld] :
( ~ ( mrel @ SY671 @ SY672 )
| ( qmltpeq @ SV88 @ SY1214 @ SY672 ) )
| ! [SY673: mworld] :
( ~ ( mrel @ SY671 @ SY673 )
| ( qmltpeq @ ( apply @ SV88 @ SY670 ) @ ( apply @ SY1214 @ SY670 ) @ SY673 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(605,plain,
! [SV89: $i,SV168: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV168 )
| ! [SY1220: $i,SY1221: mworld] :
( ~ ( mrel @ SV168 @ SY1221 )
| ! [SY677: $i,SY678: mworld] :
( ~ ( mrel @ SY1221 @ SY678 )
| ! [SY679: $i,SY680: mworld] :
( ~ ( mrel @ SY678 @ SY680 )
| ~ ! [SY681: mworld] :
( ~ ( mrel @ SY680 @ SY681 )
| ( qmltpeq @ SV89 @ SY1220 @ SY681 ) )
| ! [SY682: mworld] :
( ~ ( mrel @ SY680 @ SY682 )
| ( qmltpeq @ ( restrict @ SV89 @ SY677 @ SY679 ) @ ( restrict @ SY1220 @ SY677 @ SY679 ) @ SY682 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(606,plain,
! [SV90: $i,SV169: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV169 )
| ! [SY1228: $i,SY1229: mworld] :
( ~ ( mrel @ SV169 @ SY1229 )
| ! [SY686: $i,SY687: mworld] :
( ~ ( mrel @ SY1229 @ SY687 )
| ~ ! [SY688: mworld] :
( ~ ( mrel @ SY687 @ SY688 )
| ( qmltpeq @ SV90 @ SY1228 @ SY688 ) )
| ! [SY689: mworld] :
( ~ ( mrel @ SY687 @ SY689 )
| ( qmltpeq @ ( compose @ SY686 @ SV90 ) @ ( compose @ SY686 @ SY1228 ) @ SY689 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(607,plain,
! [SV91: $i,SV170: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV170 )
| ! [SY1234: $i] :
~ ( ~ ! [SY1235: mworld] :
( ~ ( mrel @ SV170 @ SY1235 )
| ~ ! [SY693: mworld] :
( ~ ( mrel @ SY1235 @ SY693 )
| ( member @ SV91 @ ( sum_class @ SY1234 ) @ SY693 ) )
| ~ ! [SY694: $i] :
~ ~ ( ~ ! [SY695: mworld] :
( ~ ( mrel @ SY1235 @ SY695 )
| ( member @ SV91 @ SY694 @ SY695 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY1235 @ SX6 )
| ( member @ SY694 @ SY1234 @ SX6 ) ) ) )
| ~ ! [SY1240: mworld] :
( ~ ( mrel @ SV170 @ SY1240 )
| ~ ~ ! [SY698: $i] :
~ ~ ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SY1240 @ SY699 )
| ( member @ SV91 @ SY698 @ SY699 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY1240 @ SX6 )
| ( member @ SY698 @ SY1234 @ SX6 ) ) )
| ! [SY701: mworld] :
( ~ ( mrel @ SY1240 @ SY701 )
| ( member @ SV91 @ ( sum_class @ SY1234 ) @ SY701 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(608,plain,
! [SV92: $i,SV171: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV171 )
| ! [SY1245: $i,SY1246: mworld] :
( ~ ( mrel @ SV171 @ SY1246 )
| ~ ! [SY705: mworld] :
( ~ ( mrel @ SY1246 @ SY705 )
| ( qmltpeq @ SV92 @ SY1245 @ SY705 ) )
| ! [SY706: mworld] :
( ~ ( mrel @ SY1246 @ SY706 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SY1245 ) @ SY706 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(609,plain,
! [SV93: $i,SV172: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV172 )
| ! [SY1249: $i,SY1250: mworld] :
( ~ ( mrel @ SV172 @ SY1250 )
| ( qmltpeq @ ( apply @ SV93 @ SY1249 ) @ ( sum_class @ ( image @ SV93 @ ( singleton @ SY1249 ) ) ) @ SY1250 ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(610,plain,
! [SV94: $i,SV173: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV173 )
| ! [SY1251: $i,SY1252: mworld] :
( ~ ( mrel @ SV173 @ SY1252 )
| ! [SY713: $i,SY714: mworld] :
( ~ ( mrel @ SY1252 @ SY714 )
| ( qmltpeq @ ( restrict @ SY1251 @ SV94 @ SY713 ) @ ( intersection @ SY1251 @ ( cross_product @ SV94 @ SY713 ) ) @ SY714 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(611,plain,
! [SV95: $i,SV174: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV174 )
| ( qmltpeq @ ( singleton @ SV95 ) @ ( unordered_pair @ SV95 @ SV95 ) @ SV174 ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(612,plain,
! [SV96: $i,SV175: mworld,SV13: mworld] :
( ( ( ~ ( mrel @ SV13 @ SV175 )
| ! [SY1255: $i,SY1256: mworld] :
( ~ ( mrel @ SV175 @ SY1256 )
| ! [SY719: $i,SY720: mworld] :
( ~ ( mrel @ SY1256 @ SY720 )
| ~ ! [SY721: mworld] :
( ~ ( mrel @ SY720 @ SY721 )
| ( qmltpeq @ SV96 @ SY1255 @ SY721 ) )
| ! [SY722: mworld] :
( ~ ( mrel @ SY720 @ SY722 )
| ( qmltpeq @ ( union @ SY719 @ SV96 ) @ ( union @ SY719 @ SY1255 ) @ SY722 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(613,plain,
! [SV97: $i,SV176: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ SV176 )
| ! [SY1261: $i,SY1262: mworld] :
( ~ ( mrel @ SV176 @ SY1262 )
| ~ ! [SY726: mworld] :
( ~ ( mrel @ SY1262 @ SY726 )
| ( qmltpeq @ SV97 @ SY1261 @ SY726 ) )
| ! [SY727: mworld] :
( ~ ( mrel @ SY1262 @ SY727 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SY1261 ) @ SY727 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(614,plain,
! [SV98: $i,SV177: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV177 )
| ! [SY1265: $i,SY1266: mworld] :
( ~ ( mrel @ SV177 @ SY1266 )
| ~ ~ ( ~ ! [SY731: mworld] :
( ~ ( mrel @ SY1266 @ SY731 )
| ( member @ SV98 @ universal_class @ SY731 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1266 @ SX5 )
| ( function @ SY1265 @ SX5 ) ) )
| ! [SY733: mworld] :
( ~ ( mrel @ SY1266 @ SY733 )
| ( member @ ( image @ SY1265 @ SV98 ) @ universal_class @ SY733 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(615,plain,
! [SV99: $i,SV178: mworld,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ SV178 )
| ! [SY1270: $i,SY1271: mworld] :
( ~ ( mrel @ SV178 @ SY1271 )
| ( member @ ( unordered_pair @ SV99 @ SY1270 ) @ universal_class @ SY1271 ) ) )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(616,plain,
! [SV100: $i,SV179: mworld,SV17: mworld] :
( ( ( ~ ( mrel @ SV17 @ SV179 )
| ! [SY1272: $i,SY1273: mworld] :
( ~ ( mrel @ SV179 @ SY1273 )
| ~ ! [SY740: mworld] :
( ~ ( mrel @ SY1273 @ SY740 )
| ( qmltpeq @ SV100 @ SY1272 @ SY740 ) )
| ! [SY741: mworld] :
( ~ ( mrel @ SY1273 @ SY741 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SY1272 ) @ SY741 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(617,plain,
! [SV101: $i,SV180: mworld,SV18: mworld] :
( ( ( ~ ( mrel @ SV18 @ SV180 )
| ( qmltpeq @ ( inverse @ SV101 ) @ ( domain_of @ ( flip @ ( cross_product @ SV101 @ universal_class ) ) ) @ SV180 ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(618,plain,
! [SV102: $i,SV181: mworld,SV19: mworld] :
( ( ( ~ ( mrel @ SV19 @ SV181 )
| ( subclass @ ( rotate @ SV102 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV181 ) )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(619,plain,
! [SV103: $i,SV182: mworld,SV20: mworld] :
( ( ( ~ ( mrel @ SV20 @ SV182 )
| ! [SY1276: $i,SY1277: mworld] :
( ~ ( mrel @ SV182 @ SY1277 )
| ! [SY747: $i] :
~ ( ~ ! [SY748: mworld] :
( ~ ( mrel @ SY1277 @ SY748 )
| ~ ! [SY749: mworld] :
( ~ ( mrel @ SY748 @ SY749 )
| ( member @ SY747 @ ( union @ SV103 @ SY1276 ) @ SY749 ) )
| ! [SY750: mworld] :
( ~ ( mrel @ SY748 @ SY750 )
| ( member @ SY747 @ SV103 @ SY750 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY748 @ SX7 )
| ( member @ SY747 @ SY1276 @ SX7 ) ) )
| ~ ! [SY752: mworld] :
( ~ ( mrel @ SY1277 @ SY752 )
| ~ ( ! [SY753: mworld] :
( ~ ( mrel @ SY752 @ SY753 )
| ( member @ SY747 @ SV103 @ SY753 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY752 @ SX7 )
| ( member @ SY747 @ SY1276 @ SX7 ) ) )
| ! [SY755: mworld] :
( ~ ( mrel @ SY752 @ SY755 )
| ( member @ SY747 @ ( union @ SV103 @ SY1276 ) @ SY755 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(620,plain,
! [SV104: $i,SV183: mworld,SV21: mworld] :
( ( ( ~ ( mrel @ SV21 @ SV183 )
| ! [SY1287: $i,SY1288: mworld] :
( ~ ( mrel @ SV183 @ SY1288 )
| ! [SY759: $i,SY760: mworld] :
( ~ ( mrel @ SY1288 @ SY760 )
| ! [SY761: $i,SY762: mworld] :
( ~ ( mrel @ SY760 @ SY762 )
| ~ ! [SY763: mworld] :
( ~ ( mrel @ SY762 @ SY763 )
| ( qmltpeq @ SV104 @ SY1287 @ SY763 ) )
| ! [SY764: mworld] :
( ~ ( mrel @ SY762 @ SY764 )
| ( qmltpeq @ ( restrict @ SY759 @ SY761 @ SV104 ) @ ( restrict @ SY759 @ SY761 @ SY1287 ) @ SY764 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(621,plain,
! [SV105: $i,SV184: mworld,SV22: mworld] :
( ( ( ~ ( mrel @ SV22 @ SV184 )
| ( qmltpeq @ ( successor @ SV105 ) @ ( union @ SV105 @ ( singleton @ SV105 ) ) @ SV184 ) )
= $true )
| ( ( mrel @ mactual @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(622,plain,
! [SV106: $i,SV185: mworld,SV23: mworld] :
( ( ( ~ ( mrel @ SV23 @ SV185 )
| ! [SY1295: $i] :
~ ( ~ ! [SY1296: mworld] :
( ~ ( mrel @ SV185 @ SY1296 )
| ~ ! [SY769: mworld] :
( ~ ( mrel @ SY1296 @ SY769 )
| ( member @ SV106 @ ( power_class @ SY1295 ) @ SY769 ) )
| ~ ( ~ ! [SY770: mworld] :
( ~ ( mrel @ SY1296 @ SY770 )
| ( member @ SV106 @ universal_class @ SY770 ) )
| ~ ! [SY771: mworld] :
( ~ ( mrel @ SY1296 @ SY771 )
| ( subclass @ SV106 @ SY1295 @ SY771 ) ) ) )
| ~ ! [SY1300: mworld] :
( ~ ( mrel @ SV185 @ SY1300 )
| ~ ~ ( ~ ! [SY773: mworld] :
( ~ ( mrel @ SY1300 @ SY773 )
| ( member @ SV106 @ universal_class @ SY773 ) )
| ~ ! [SY774: mworld] :
( ~ ( mrel @ SY1300 @ SY774 )
| ( subclass @ SV106 @ SY1295 @ SY774 ) ) )
| ! [SY775: mworld] :
( ~ ( mrel @ SY1300 @ SY775 )
| ( member @ SV106 @ ( power_class @ SY1295 ) @ SY775 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(623,plain,
! [SV107: $i,SV186: mworld,SV24: mworld] :
( ( ( ~ ( mrel @ SV24 @ SV186 )
| ! [SY1304: $i,SY1305: mworld] :
( ~ ( mrel @ SV186 @ SY1305 )
| ! [SY779: $i,SY780: mworld] :
( ~ ( mrel @ SY1305 @ SY780 )
| ~ ! [SY781: mworld] :
( ~ ( mrel @ SY780 @ SY781 )
| ( qmltpeq @ SV107 @ SY1304 @ SY781 ) )
| ! [SY782: mworld] :
( ~ ( mrel @ SY780 @ SY782 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SY779 ) @ ( ordered_pair @ SY1304 @ SY779 ) @ SY782 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(624,plain,
! [SV108: $i,SV187: mworld,SV25: mworld] :
( ( ( ~ ( mrel @ SV25 @ SV187 )
| ! [SY1310: $i,SY1311: mworld] :
( ~ ( mrel @ SV187 @ SY1311 )
| ! [SY786: $i,SY787: mworld] :
( ~ ( mrel @ SY1311 @ SY787 )
| ~ ~ ( ~ ! [SY788: mworld] :
( ~ ( mrel @ SY787 @ SY788 )
| ( qmltpeq @ SV108 @ SY1310 @ SY788 ) )
| ~ ! [SY789: mworld] :
( ~ ( mrel @ SY787 @ SY789 )
| ( subclass @ SV108 @ SY786 @ SY789 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY787 @ SX7 )
| ( subclass @ SY1310 @ SY786 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(625,plain,
! [SV109: $i,SV188: mworld,SV26: mworld] :
( ( ( ~ ( mrel @ SV26 @ SV188 )
| ! [SY1317: $i] :
~ ( ~ ! [SY1318: mworld] :
( ~ ( mrel @ SV188 @ SY1318 )
| ~ ! [SY794: mworld] :
( ~ ( mrel @ SY1318 @ SY794 )
| ( member @ SY1317 @ ( complement @ SV109 ) @ SY794 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1318 @ SX5 )
| ( member @ SY1317 @ universal_class @ SX5 ) )
| ~ ! [SY796: mworld] :
( ~ ( mrel @ SY1318 @ SY796 )
| ~ ! [SY797: mworld] :
( ~ ( mrel @ SY796 @ SY797 )
| ( member @ SY1317 @ SV109 @ SY797 ) ) ) ) )
| ~ ! [SY1323: mworld] :
( ~ ( mrel @ SV188 @ SY1323 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1323 @ SX5 )
| ( member @ SY1317 @ universal_class @ SX5 ) )
| ~ ! [SY800: mworld] :
( ~ ( mrel @ SY1323 @ SY800 )
| ~ ! [SY801: mworld] :
( ~ ( mrel @ SY800 @ SY801 )
| ( member @ SY1317 @ SV109 @ SY801 ) ) ) )
| ! [SY802: mworld] :
( ~ ( mrel @ SY1323 @ SY802 )
| ( member @ SY1317 @ ( complement @ SV109 ) @ SY802 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(626,plain,
! [SV110: $i,SV189: mworld,SV27: mworld] :
( ( ( ~ ( mrel @ SV27 @ SV189 )
| ! [SY1328: $i,SY1329: mworld] :
( ~ ( mrel @ SV189 @ SY1329 )
| ! [SY806: $i,SY807: mworld] :
( ~ ( mrel @ SY1329 @ SY807 )
| ~ ! [SY808: mworld] :
( ~ ( mrel @ SY807 @ SY808 )
| ( qmltpeq @ SV110 @ SY1328 @ SY808 ) )
| ! [SY809: mworld] :
( ~ ( mrel @ SY807 @ SY809 )
| ( qmltpeq @ ( intersection @ SV110 @ SY806 ) @ ( intersection @ SY1328 @ SY806 ) @ SY809 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(627,plain,
! [SV111: $i,SV190: mworld,SV28: mworld] :
( ( ( ~ ( mrel @ SV28 @ SV190 )
| ! [SY1334: $i,SY1335: mworld] :
( ~ ( mrel @ SV190 @ SY1335 )
| ! [SY813: $i,SY814: mworld] :
( ~ ( mrel @ SY1335 @ SY814 )
| ~ ! [SY815: mworld] :
( ~ ( mrel @ SY814 @ SY815 )
| ( qmltpeq @ SV111 @ SY1334 @ SY815 ) )
| ! [SY816: mworld] :
( ~ ( mrel @ SY814 @ SY816 )
| ( qmltpeq @ ( compose @ SV111 @ SY813 ) @ ( compose @ SY1334 @ SY813 ) @ SY816 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(628,plain,
! [SV112: $i,SV191: mworld,SV30: mworld] :
( ( ( ~ ( mrel @ SV30 @ SV191 )
| ! [SY1340: $i,SY1341: mworld] :
( ~ ( mrel @ SV191 @ SY1341 )
| ( subclass @ ( compose @ SY1340 @ SV112 ) @ ( cross_product @ universal_class @ universal_class ) @ SY1341 ) ) )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(629,plain,
! [SV113: $i,SV192: mworld,SV31: mworld] :
( ( ( ~ ( mrel @ SV31 @ SV192 )
| ! [SY1342: $i,SY1343: mworld] :
( ~ ( mrel @ SV192 @ SY1343 )
| ~ ! [SY823: mworld] :
( ~ ( mrel @ SY1343 @ SY823 )
| ( qmltpeq @ SV113 @ SY1342 @ SY823 ) )
| ! [SY824: mworld] :
( ~ ( mrel @ SY1343 @ SY824 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SY1342 ) @ SY824 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(630,plain,
! [SV114: $i,SV193: mworld,SV32: mworld] :
( ( ( ~ ( mrel @ SV32 @ SV193 )
| ! [SY1346: $i,SY1347: mworld] :
( ~ ( mrel @ SV193 @ SY1347 )
| ! [SY828: $i,SY829: mworld] :
( ~ ( mrel @ SY1347 @ SY829 )
| ~ ~ ( ~ ! [SY830: mworld] :
( ~ ( mrel @ SY829 @ SY830 )
| ( qmltpeq @ SV114 @ SY1346 @ SY830 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY829 @ SX7 )
| ( qmltpeq @ SY1346 @ SY828 @ SX7 ) ) )
| ! [SY832: mworld] :
( ~ ( mrel @ SY829 @ SY832 )
| ( qmltpeq @ SV114 @ SY828 @ SY832 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(631,plain,
! [SV115: $i,SV194: mworld,SV33: mworld] :
( ( ( ~ ( mrel @ SV33 @ SV194 )
| ! [SY1353: $i] :
~ ( ~ ! [SY1354: mworld] :
( ~ ( mrel @ SV194 @ SY1354 )
| ~ ! [SY836: mworld] :
( ~ ( mrel @ SY1354 @ SY836 )
| ( subclass @ SV115 @ SY1353 @ SY836 ) )
| ! [SY837: mworld] :
( ~ ( mrel @ SY1354 @ SY837 )
| ! [SY838: $i,SY839: mworld] :
( ~ ( mrel @ SY837 @ SY839 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY839 @ SY840 )
| ( member @ SY838 @ SV115 @ SY840 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY839 @ SX8 )
| ( member @ SY838 @ SY1353 @ SX8 ) ) ) ) )
| ~ ! [SY1361: mworld] :
( ~ ( mrel @ SV194 @ SY1361 )
| ~ ! [SY843: mworld] :
( ~ ( mrel @ SY1361 @ SY843 )
| ! [SY844: $i,SY845: mworld] :
( ~ ( mrel @ SY843 @ SY845 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY845 @ SY846 )
| ( member @ SY844 @ SV115 @ SY846 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY845 @ SX8 )
| ( member @ SY844 @ SY1353 @ SX8 ) ) ) )
| ! [SY848: mworld] :
( ~ ( mrel @ SY1361 @ SY848 )
| ( subclass @ SV115 @ SY1353 @ SY848 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(632,plain,
! [SV116: $i,SV195: mworld,SV34: mworld] :
( ( ( ~ ( mrel @ SV34 @ SV195 )
| ! [SY1368: $i,SY1369: mworld] :
( ~ ( mrel @ SV195 @ SY1369 )
| ~ ~ ( ~ ! [SY852: mworld] :
( ~ ( mrel @ SY1369 @ SY852 )
| ( qmltpeq @ SV116 @ SY1368 @ SY852 ) )
| ~ ! [SY853: mworld] :
( ~ ( mrel @ SY1369 @ SY853 )
| ( function @ SV116 @ SY853 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1369 @ SX5 )
| ( function @ SY1368 @ SX5 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(633,plain,
! [SV117: $i,SV196: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ SV196 )
| ! [SY1373: $i,SY1374: mworld] :
( ~ ( mrel @ SV196 @ SY1374 )
| ~ ! [SY858: mworld] :
( ~ ( mrel @ SY1374 @ SY858 )
| ( qmltpeq @ SV117 @ SY1373 @ SY858 ) )
| ! [SY859: mworld] :
( ~ ( mrel @ SY1374 @ SY859 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SY1373 ) @ SY859 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(634,plain,
! [SV118: $i,SV197: mworld,SV36: mworld] :
( ( ( ~ ( mrel @ SV36 @ SV197 )
| ! [SY1377: $i,SY1378: mworld] :
( ~ ( mrel @ SV197 @ SY1378 )
| ! [SY863: $i,SY864: mworld] :
( ~ ( mrel @ SY1378 @ SY864 )
| ~ ! [SY865: mworld] :
( ~ ( mrel @ SY864 @ SY865 )
| ( qmltpeq @ SV118 @ SY1377 @ SY865 ) )
| ! [SY866: mworld] :
( ~ ( mrel @ SY864 @ SY866 )
| ( qmltpeq @ ( apply @ SY863 @ SV118 ) @ ( apply @ SY863 @ SY1377 ) @ SY866 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(635,plain,
! [SV119: $i,SV198: mworld,SV37: mworld] :
( ( ( ~ ( mrel @ SV37 @ SV198 )
| ! [SY1383: $i,SY1384: mworld] :
( ~ ( mrel @ SV198 @ SY1384 )
| ! [SY870: $i,SY871: mworld] :
( ~ ( mrel @ SY1384 @ SY871 )
| ~ ! [SY872: mworld] :
( ~ ( mrel @ SY871 @ SY872 )
| ( qmltpeq @ SV119 @ SY1383 @ SY872 ) )
| ! [SY873: mworld] :
( ~ ( mrel @ SY871 @ SY873 )
| ( qmltpeq @ ( cross_product @ SY870 @ SV119 ) @ ( cross_product @ SY870 @ SY1383 ) @ SY873 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(636,plain,
! [SV120: $i,SV199: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV199 )
| ~ ! [SY1389: mworld] :
( ~ ( mrel @ SV199 @ SY1389 )
| ( member @ SV120 @ universal_class @ SY1389 ) )
| ! [SY1390: mworld] :
( ~ ( mrel @ SV199 @ SY1390 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SY1390 ) ) )
= $true )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(637,plain,
! [SV121: $i,SV200: mworld,SV39: mworld] :
( ( ( ~ ( mrel @ SV39 @ SV200 )
| ! [SY1391: $i,SY1392: mworld] :
( ~ ( mrel @ SV200 @ SY1392 )
| ! [SY880: $i,SY881: mworld] :
( ~ ( mrel @ SY1392 @ SY881 )
| ~ ~ ( ~ ! [SY882: mworld] :
( ~ ( mrel @ SY881 @ SY882 )
| ( qmltpeq @ SV121 @ SY1391 @ SY882 ) )
| ~ ! [SY883: mworld] :
( ~ ( mrel @ SY881 @ SY883 )
| ( subclass @ SY880 @ SV121 @ SY883 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY881 @ SX7 )
| ( subclass @ SY880 @ SY1391 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(638,plain,
! [SV122: $i,SV201: mworld,SV40: mworld] :
( ( ( ~ ( mrel @ SV40 @ SV201 )
| ! [SY1398: $i,SY1399: mworld] :
( ~ ( mrel @ SV201 @ SY1399 )
| ! [SY888: $i,SY889: mworld] :
( ~ ( mrel @ SY1399 @ SY889 )
| ~ ! [SY890: mworld] :
( ~ ( mrel @ SY889 @ SY890 )
| ( qmltpeq @ SV122 @ SY1398 @ SY890 ) )
| ! [SY891: mworld] :
( ~ ( mrel @ SY889 @ SY891 )
| ( qmltpeq @ ( ordered_pair @ SY888 @ SV122 ) @ ( ordered_pair @ SY888 @ SY1398 ) @ SY891 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(639,plain,
! [SV123: $i,SV202: mworld,SV41: mworld] :
( ( ( ~ ( mrel @ SV41 @ SV202 )
| ! [SY1404: $i,SY1405: mworld] :
( ~ ( mrel @ SV202 @ SY1405 )
| ! [SY895: $i,SY896: mworld] :
( ~ ( mrel @ SY1405 @ SY896 )
| ~ ! [SY897: mworld] :
( ~ ( mrel @ SY896 @ SY897 )
| ( qmltpeq @ SV123 @ SY1404 @ SY897 ) )
| ! [SY898: mworld] :
( ~ ( mrel @ SY896 @ SY898 )
| ( qmltpeq @ ( image @ SY895 @ SV123 ) @ ( image @ SY895 @ SY1404 ) @ SY898 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(640,plain,
! [SV124: $i,SV203: mworld,SV42: mworld] :
( ( ( ~ ( mrel @ SV42 @ SV203 )
| ! [SY1410: $i,SY1411: mworld] :
( ~ ( mrel @ SV203 @ SY1411 )
| ! [SY902: $i,SY903: mworld] :
( ~ ( mrel @ SY1411 @ SY903 )
| ~ ~ ( ~ ! [SY904: mworld] :
( ~ ( mrel @ SY903 @ SY904 )
| ( qmltpeq @ SV124 @ SY1410 @ SY904 ) )
| ~ ! [SY905: mworld] :
( ~ ( mrel @ SY903 @ SY905 )
| ( member @ SV124 @ SY902 @ SY905 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY903 @ SX7 )
| ( member @ SY1410 @ SY902 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(641,plain,
! [SV125: $i,SV204: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV204 )
| ~ ! [SY1417: mworld] :
( ~ ( mrel @ SV204 @ SY1417 )
| ( member @ SV125 @ universal_class @ SY1417 ) )
| ! [SY1418: mworld] :
( ~ ( mrel @ SV204 @ SY1418 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SY1418 ) ) )
= $true )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(642,plain,
! [SV126: $i,SV205: mworld,SV44: mworld] :
( ( ( ~ ( mrel @ SV44 @ SV205 )
| ! [SY1419: $i,SY1420: mworld] :
( ~ ( mrel @ SV205 @ SY1420 )
| ! [SY913: $i,SY914: mworld] :
( ~ ( mrel @ SY1420 @ SY914 )
| ~ ! [SY915: mworld] :
( ~ ( mrel @ SY914 @ SY915 )
| ( qmltpeq @ SV126 @ SY1419 @ SY915 ) )
| ! [SY916: mworld] :
( ~ ( mrel @ SY914 @ SY916 )
| ( qmltpeq @ ( intersection @ SY913 @ SV126 ) @ ( intersection @ SY913 @ SY1419 ) @ SY916 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(643,plain,
! [SV127: $i,SV206: mworld,SV45: mworld] :
( ( ( ~ ( mrel @ SV45 @ SV206 )
| ! [SY1425: $i,SY1426: mworld] :
( ~ ( mrel @ SV206 @ SY1426 )
| ~ ~ ( ~ ! [SY920: mworld] :
( ~ ( mrel @ SY1426 @ SY920 )
| ( qmltpeq @ SV127 @ SY1425 @ SY920 ) )
| ~ ! [SY921: mworld] :
( ~ ( mrel @ SY1426 @ SY921 )
| ( inductive @ SV127 @ SY921 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1426 @ SX5 )
| ( inductive @ SY1425 @ SX5 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(644,plain,
! [SV128: $i,SV207: mworld,SV46: mworld] :
( ( ( ~ ( mrel @ SV46 @ SV207 )
| ! [SY1430: $i,SY1431: mworld] :
( ~ ( mrel @ SV207 @ SY1431 )
| ! [SY926: $i,SY927: mworld] :
( ~ ( mrel @ SY1431 @ SY927 )
| ~ ~ ( ~ ! [SY928: mworld] :
( ~ ( mrel @ SY927 @ SY928 )
| ( qmltpeq @ SV128 @ SY1430 @ SY928 ) )
| ~ ! [SY929: mworld] :
( ~ ( mrel @ SY927 @ SY929 )
| ( disjoint @ SV128 @ SY926 @ SY929 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY927 @ SX7 )
| ( disjoint @ SY1430 @ SY926 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(645,plain,
( ( ~ ! [SY630: mworld] :
( ~ ( mrel @ mactual @ SY630 )
| ( function @ sK1_SX0 @ SY630 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(646,plain,
( ( ~ ! [SY631: mworld] :
( ~ ( mrel @ mactual @ SY631 )
| ! [SY632: $i,SY633: mworld] :
( ~ ( mrel @ SY631 @ SY633 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY633 @ SX4 )
| ( member @ SY632 @ universal_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY633 @ SX4 )
| ( qmltpeq @ SY632 @ null_class @ SX4 ) )
| ! [SY636: mworld] :
( ~ ( mrel @ SY633 @ SY636 )
| ( member @ ( apply @ sK1_SX0 @ SY632 ) @ SY632 @ SY636 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(647,plain,
! [SV129: $i,SV208: mworld,SV47: mworld] :
( ( ( ~ ( mrel @ SV47 @ SV208 )
| ( subclass @ ( flip @ SV129 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV208 ) )
= $true )
| ( ( mrel @ mactual @ SV47 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(648,plain,
! [SV130: $i,SV209: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ SV209 )
| ! [SY1437: $i] :
~ ( ~ ! [SY1438: mworld] :
( ~ ( mrel @ SV209 @ SY1438 )
| ~ ! [SY935: mworld] :
( ~ ( mrel @ SY1438 @ SY935 )
| ( qmltpeq @ SV130 @ SY1437 @ SY935 ) )
| ~ ( ~ ! [SY936: mworld] :
( ~ ( mrel @ SY1438 @ SY936 )
| ( subclass @ SV130 @ SY1437 @ SY936 ) )
| ~ ! [SY937: mworld] :
( ~ ( mrel @ SY1438 @ SY937 )
| ( subclass @ SY1437 @ SV130 @ SY937 ) ) ) )
| ~ ! [SY1442: mworld] :
( ~ ( mrel @ SV209 @ SY1442 )
| ~ ~ ( ~ ! [SY939: mworld] :
( ~ ( mrel @ SY1442 @ SY939 )
| ( subclass @ SV130 @ SY1437 @ SY939 ) )
| ~ ! [SY940: mworld] :
( ~ ( mrel @ SY1442 @ SY940 )
| ( subclass @ SY1437 @ SV130 @ SY940 ) ) )
| ! [SY941: mworld] :
( ~ ( mrel @ SY1442 @ SY941 )
| ( qmltpeq @ SV130 @ SY1437 @ SY941 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(649,plain,
! [SV131: $i,SV210: mworld,SV49: mworld] :
( ( ( ~ ( mrel @ SV49 @ SV210 )
| ( qmltpeq @ SV131 @ SV131 @ SV210 ) )
= $true )
| ( ( mrel @ mactual @ SV49 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(650,plain,
! [SV132: $i,SV211: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV211 )
| ! [SY1446: $i,SY1447: mworld] :
( ~ ( mrel @ SV211 @ SY1447 )
| ~ ! [SY946: mworld] :
( ~ ( mrel @ SY1447 @ SY946 )
| ( qmltpeq @ SV132 @ SY1446 @ SY946 ) )
| ! [SY947: mworld] :
( ~ ( mrel @ SY1447 @ SY947 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SY1446 ) @ SY947 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(651,plain,
! [SV133: $i,SV212: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV212 )
| ! [SY1450: $i,SY1451: mworld] :
( ~ ( mrel @ SV212 @ SY1451 )
| ~ ! [SY951: mworld] :
( ~ ( mrel @ SY1451 @ SY951 )
| ( qmltpeq @ SV133 @ SY1450 @ SY951 ) )
| ! [SY952: mworld] :
( ~ ( mrel @ SY1451 @ SY952 )
| ( qmltpeq @ SY1450 @ SV133 @ SY952 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(652,plain,
( ( ~ ( mrel @ sK2_SX0 @ sK5_SY953 )
| ( subclass @ sK4_SY637 @ sK4_SY637 @ sK5_SY953 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[568]) ).
thf(653,plain,
( ( ~ ! [SY639: mworld] :
( ~ ( mrel @ mactual @ SY639 )
| ( member @ sK3_SX0 @ universal_class @ SY639 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(654,plain,
( ( ~ ~ ( ~ ! [SY640: mworld] :
( ~ ( mrel @ mactual @ SY640 )
| ( inductive @ sK3_SX0 @ SY640 ) )
| ~ ! [SY641: mworld] :
( ~ ( mrel @ mactual @ SY641 )
| ! [SY642: $i,SY643: mworld] :
( ~ ( mrel @ SY641 @ SY643 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY643 @ SX4 )
| ( inductive @ SY642 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY643 @ SY645 )
| ( subclass @ sK3_SX0 @ SY642 @ SY645 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(655,plain,
! [SV134: $i,SV213: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ SV213 )
| ! [SY1454: $i,SY1455: mworld] :
( ~ ( mrel @ SV213 @ SY1455 )
| ~ ! [SY957: mworld] :
( ~ ( mrel @ SY1455 @ SY957 )
| ( qmltpeq @ SV134 @ SY1454 @ SY957 ) )
| ! [SY958: mworld] :
( ~ ( mrel @ SY1455 @ SY958 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SY1454 ) @ SY958 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(656,plain,
! [SV135: $i,SV214: mworld,SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ SV214 )
| ~ ! [SY1458: mworld] :
( ~ ( mrel @ SV214 @ SY1458 )
| ( member @ SV135 @ null_class @ SY1458 ) ) )
= $true )
| ( ( mrel @ mactual @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(657,plain,
! [SV136: $i,SV215: mworld,SV54: mworld] :
( ( ( ~ ( mrel @ SV54 @ SV215 )
| ! [SY1459: $i,SY1460: mworld] :
( ~ ( mrel @ SV215 @ SY1460 )
| ! [SY964: $i,SY965: mworld] :
( ~ ( mrel @ SY1460 @ SY965 )
| ~ ~ ( ~ ! [SY966: mworld] :
( ~ ( mrel @ SY965 @ SY966 )
| ( qmltpeq @ SV136 @ SY1459 @ SY966 ) )
| ~ ! [SY967: mworld] :
( ~ ( mrel @ SY965 @ SY967 )
| ( disjoint @ SY964 @ SV136 @ SY967 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY965 @ SX7 )
| ( disjoint @ SY964 @ SY1459 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(658,plain,
! [SV137: $i,SV55: mworld] :
( ( ( ~ ! [SY969: mworld] :
( ~ ( mrel @ SV55 @ SY969 )
| ~ ! [SY970: mworld] :
( ~ ( mrel @ SY969 @ SY970 )
| ( function @ SV137 @ SY970 ) )
| ~ ( ~ ! [SY971: mworld] :
( ~ ( mrel @ SY969 @ SY971 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY971 ) )
| ~ ! [SY972: mworld] :
( ~ ( mrel @ SY969 @ SY972 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY972 ) ) ) )
| ~ ! [SY973: mworld] :
( ~ ( mrel @ SV55 @ SY973 )
| ~ ~ ( ~ ! [SY974: mworld] :
( ~ ( mrel @ SY973 @ SY974 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY974 ) )
| ~ ! [SY975: mworld] :
( ~ ( mrel @ SY973 @ SY975 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY975 ) ) )
| ! [SY976: mworld] :
( ~ ( mrel @ SY973 @ SY976 )
| ( function @ SV137 @ SY976 ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(659,plain,
! [SV138: $i,SV216: mworld,SV56: mworld] :
( ( ( ~ ( mrel @ SV56 @ SV216 )
| ! [SY1466: $i] :
~ ( ~ ! [SY1467: mworld] :
( ~ ( mrel @ SV216 @ SY1467 )
| ~ ! [SY980: mworld] :
( ~ ( mrel @ SY1467 @ SY980 )
| ( disjoint @ SV138 @ SY1466 @ SY980 ) )
| ! [SY981: mworld] :
( ~ ( mrel @ SY1467 @ SY981 )
| ! [SY982: $i,SY983: mworld] :
( ~ ( mrel @ SY981 @ SY983 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY983 @ SY984 )
| ( member @ SY982 @ SV138 @ SY984 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY983 @ SX8 )
| ( member @ SY982 @ SY1466 @ SX8 ) ) ) ) ) )
| ~ ! [SY1474: mworld] :
( ~ ( mrel @ SV216 @ SY1474 )
| ~ ! [SY987: mworld] :
( ~ ( mrel @ SY1474 @ SY987 )
| ! [SY988: $i,SY989: mworld] :
( ~ ( mrel @ SY987 @ SY989 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY989 @ SY990 )
| ( member @ SY988 @ SV138 @ SY990 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY989 @ SX8 )
| ( member @ SY988 @ SY1466 @ SX8 ) ) ) ) )
| ! [SY992: mworld] :
( ~ ( mrel @ SY1474 @ SY992 )
| ( disjoint @ SV138 @ SY1466 @ SY992 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(660,plain,
! [SV139: $i,SV217: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ SV217 )
| ! [SY1481: $i] :
~ ( ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV217 @ SY1482 )
| ~ ! [SY996: mworld] :
( ~ ( mrel @ SY1482 @ SY996 )
| ( member @ ( ordered_pair @ SV139 @ SY1481 ) @ successor_relation @ SY996 ) )
| ~ ( ~ ! [SY997: mworld] :
( ~ ( mrel @ SY1482 @ SY997 )
| ( member @ SV139 @ universal_class @ SY997 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1482 @ SX5 )
| ( member @ SY1481 @ universal_class @ SX5 ) )
| ~ ! [SY999: mworld] :
( ~ ( mrel @ SY1482 @ SY999 )
| ( qmltpeq @ ( successor @ SV139 ) @ SY1481 @ SY999 ) ) ) ) )
| ~ ! [SY1487: mworld] :
( ~ ( mrel @ SV217 @ SY1487 )
| ~ ~ ( ~ ! [SY1001: mworld] :
( ~ ( mrel @ SY1487 @ SY1001 )
| ( member @ SV139 @ universal_class @ SY1001 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1487 @ SX5 )
| ( member @ SY1481 @ universal_class @ SX5 ) )
| ~ ! [SY1003: mworld] :
( ~ ( mrel @ SY1487 @ SY1003 )
| ( qmltpeq @ ( successor @ SV139 ) @ SY1481 @ SY1003 ) ) ) )
| ! [SY1004: mworld] :
( ~ ( mrel @ SY1487 @ SY1004 )
| ( member @ ( ordered_pair @ SV139 @ SY1481 ) @ successor_relation @ SY1004 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(661,plain,
! [SV140: $i,SV218: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ SV218 )
| ! [SY1492: $i,SY1493: mworld] :
( ~ ( mrel @ SV218 @ SY1493 )
| ! [SY1008: $i] :
~ ( ~ ! [SY1009: mworld] :
( ~ ( mrel @ SY1493 @ SY1009 )
| ~ ! [SY1010: mworld] :
( ~ ( mrel @ SY1009 @ SY1010 )
| ( member @ SV140 @ ( unordered_pair @ SY1492 @ SY1008 ) @ SY1010 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY1009 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1012: mworld] :
( ~ ( mrel @ SY1009 @ SY1012 )
| ( qmltpeq @ SV140 @ SY1492 @ SY1012 ) )
| ! [SY1013: mworld] :
( ~ ( mrel @ SY1009 @ SY1013 )
| ( qmltpeq @ SV140 @ SY1008 @ SY1013 ) ) ) ) )
| ~ ! [SY1014: mworld] :
( ~ ( mrel @ SY1493 @ SY1014 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY1014 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1016: mworld] :
( ~ ( mrel @ SY1014 @ SY1016 )
| ( qmltpeq @ SV140 @ SY1492 @ SY1016 ) )
| ! [SY1017: mworld] :
( ~ ( mrel @ SY1014 @ SY1017 )
| ( qmltpeq @ SV140 @ SY1008 @ SY1017 ) ) ) )
| ! [SY1018: mworld] :
( ~ ( mrel @ SY1014 @ SY1018 )
| ( member @ SV140 @ ( unordered_pair @ SY1492 @ SY1008 ) @ SY1018 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(662,plain,
! [SV141: $i,SV219: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV219 )
| ! [SY1505: $i,SY1506: mworld] :
( ~ ( mrel @ SV219 @ SY1506 )
| ! [SY1022: $i,SY1023: mworld] :
( ~ ( mrel @ SY1506 @ SY1023 )
| ~ ! [SY1024: mworld] :
( ~ ( mrel @ SY1023 @ SY1024 )
| ( member @ SY1022 @ ( cross_product @ SV141 @ SY1505 ) @ SY1024 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1023 @ SX7 )
| ( qmltpeq @ SY1022 @ ( ordered_pair @ ( first @ SY1022 ) @ ( second @ SY1022 ) ) @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(663,plain,
! [SV142: $i,SV61: mworld] :
( ( ( ~ ! [SY1026: mworld] :
( ~ ( mrel @ SV61 @ SY1026 )
| ~ ! [SY1027: mworld] :
( ~ ( mrel @ SY1026 @ SY1027 )
| ( inductive @ SV142 @ SY1027 ) )
| ~ ( ~ ! [SY1028: mworld] :
( ~ ( mrel @ SY1026 @ SY1028 )
| ( member @ null_class @ SV142 @ SY1028 ) )
| ~ ! [SY1029: mworld] :
( ~ ( mrel @ SY1026 @ SY1029 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1029 ) ) ) )
| ~ ! [SY1030: mworld] :
( ~ ( mrel @ SV61 @ SY1030 )
| ~ ~ ( ~ ! [SY1031: mworld] :
( ~ ( mrel @ SY1030 @ SY1031 )
| ( member @ null_class @ SV142 @ SY1031 ) )
| ~ ! [SY1032: mworld] :
( ~ ( mrel @ SY1030 @ SY1032 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1032 ) ) )
| ! [SY1033: mworld] :
( ~ ( mrel @ SY1030 @ SY1033 )
| ( inductive @ SV142 @ SY1033 ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(664,plain,
! [SV143: $i,SV220: mworld,SV62: mworld] :
( ( ( ~ ( mrel @ SV62 @ SV220 )
| ! [SY1511: $i,SY1512: mworld] :
( ~ ( mrel @ SV220 @ SY1512 )
| ! [SY1037: $i,SY1038: mworld] :
( ~ ( mrel @ SY1512 @ SY1038 )
| ! [SY1039: $i] :
~ ( ~ ! [SY1040: mworld] :
( ~ ( mrel @ SY1038 @ SY1040 )
| ~ ! [SY1041: mworld] :
( ~ ( mrel @ SY1040 @ SY1041 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( rotate @ SV143 ) @ SY1041 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1040 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SY1043: mworld] :
( ~ ( mrel @ SY1040 @ SY1043 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1037 @ SY1039 ) @ SY1511 ) @ SV143 @ SY1043 ) ) ) )
| ~ ! [SY1044: mworld] :
( ~ ( mrel @ SY1038 @ SY1044 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1044 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SY1046: mworld] :
( ~ ( mrel @ SY1044 @ SY1046 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1037 @ SY1039 ) @ SY1511 ) @ SV143 @ SY1046 ) ) )
| ! [SY1047: mworld] :
( ~ ( mrel @ SY1044 @ SY1047 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( rotate @ SV143 ) @ SY1047 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(665,plain,
! [SV144: $i,SV221: mworld,SV63: mworld] :
( ( ( ~ ( mrel @ SV63 @ SV221 )
| ! [SY1524: $i,SY1525: mworld] :
( ~ ( mrel @ SV221 @ SY1525 )
| ~ ! [SY1051: mworld] :
( ~ ( mrel @ SY1525 @ SY1051 )
| ( qmltpeq @ SV144 @ SY1524 @ SY1051 ) )
| ! [SY1052: mworld] :
( ~ ( mrel @ SY1525 @ SY1052 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SY1524 ) @ SY1052 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(666,plain,
! [SV145: $i,SV222: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ SV64 @ SV222 )
| ~ ! [SY1528: mworld] :
( ~ ( mrel @ SV222 @ SY1528 )
| ~ ! [SY1055: mworld] :
( ~ ( mrel @ SY1528 @ SY1055 )
| ( qmltpeq @ SV145 @ null_class @ SY1055 ) ) )
| ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(667,plain,
! [SV146: $i,SV223: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV223 )
| ! [SY1534: $i] :
~ ( ~ ! [SY1535: mworld] :
( ~ ( mrel @ SV223 @ SY1535 )
| ~ ! [SY1063: mworld] :
( ~ ( mrel @ SY1535 @ SY1063 )
| ( member @ ( ordered_pair @ SV146 @ SY1534 ) @ element_relation @ SY1063 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1535 @ SX5 )
| ( member @ SY1534 @ universal_class @ SX5 ) )
| ~ ! [SY1065: mworld] :
( ~ ( mrel @ SY1535 @ SY1065 )
| ( member @ SV146 @ SY1534 @ SY1065 ) ) ) )
| ~ ! [SY1539: mworld] :
( ~ ( mrel @ SV223 @ SY1539 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1539 @ SX5 )
| ( member @ SY1534 @ universal_class @ SX5 ) )
| ~ ! [SY1068: mworld] :
( ~ ( mrel @ SY1539 @ SY1068 )
| ( member @ SV146 @ SY1534 @ SY1068 ) ) )
| ! [SY1069: mworld] :
( ~ ( mrel @ SY1539 @ SY1069 )
| ( member @ ( ordered_pair @ SV146 @ SY1534 ) @ element_relation @ SY1069 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(668,plain,
! [SV147: $i,SV224: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV224 )
| ! [SY1543: $i,SY1544: mworld] :
( ~ ( mrel @ SV224 @ SY1544 )
| ! [SY1073: $i,SY1074: mworld] :
( ~ ( mrel @ SY1544 @ SY1074 )
| ~ ! [SY1075: mworld] :
( ~ ( mrel @ SY1074 @ SY1075 )
| ( qmltpeq @ SV147 @ SY1543 @ SY1075 ) )
| ! [SY1076: mworld] :
( ~ ( mrel @ SY1074 @ SY1076 )
| ( qmltpeq @ ( unordered_pair @ SY1073 @ SV147 ) @ ( unordered_pair @ SY1073 @ SY1543 ) @ SY1076 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(669,plain,
! [SV148: $i,SV225: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ SV225 )
| ( subclass @ SV148 @ universal_class @ SV225 ) )
= $true )
| ( ( mrel @ mactual @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(670,plain,
! [SV149: $i,SV226: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV226 )
| ! [SY1549: $i,SY1550: mworld] :
( ~ ( mrel @ SV226 @ SY1550 )
| ! [SY1081: $i,SY1082: mworld] :
( ~ ( mrel @ SY1550 @ SY1082 )
| ~ ! [SY1083: mworld] :
( ~ ( mrel @ SY1082 @ SY1083 )
| ( qmltpeq @ SV149 @ SY1549 @ SY1083 ) )
| ! [SY1084: mworld] :
( ~ ( mrel @ SY1082 @ SY1084 )
| ( qmltpeq @ ( image @ SV149 @ SY1081 ) @ ( image @ SY1549 @ SY1081 ) @ SY1084 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(671,plain,
! [SV150: $i,SV227: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV227 )
| ! [SY1555: $i,SY1556: mworld] :
( ~ ( mrel @ SV227 @ SY1556 )
| ! [SY1088: $i,SY1089: mworld] :
( ~ ( mrel @ SY1556 @ SY1089 )
| ~ ! [SY1090: mworld] :
( ~ ( mrel @ SY1089 @ SY1090 )
| ( qmltpeq @ SV150 @ SY1555 @ SY1090 ) )
| ! [SY1091: mworld] :
( ~ ( mrel @ SY1089 @ SY1091 )
| ( qmltpeq @ ( cross_product @ SV150 @ SY1088 ) @ ( cross_product @ SY1555 @ SY1088 ) @ SY1091 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(672,plain,
! [SV151: $i,SV228: mworld,SV70: mworld] :
( ( ( ~ ( mrel @ SV70 @ SV228 )
| ! [SY1561: $i,SY1562: mworld] :
( ~ ( mrel @ SV228 @ SY1562 )
| ! [SY1095: $i,SY1096: mworld] :
( ~ ( mrel @ SY1562 @ SY1096 )
| ~ ! [SY1097: mworld] :
( ~ ( mrel @ SY1096 @ SY1097 )
| ( qmltpeq @ SV151 @ SY1561 @ SY1097 ) )
| ! [SY1098: mworld] :
( ~ ( mrel @ SY1096 @ SY1098 )
| ( qmltpeq @ ( union @ SV151 @ SY1095 ) @ ( union @ SY1561 @ SY1095 ) @ SY1098 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(673,plain,
! [SV152: $i,SV229: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ SV229 )
| ! [SY1567: $i,SY1568: mworld] :
( ~ ( mrel @ SV229 @ SY1568 )
| ! [SY1102: $i,SY1103: mworld] :
( ~ ( mrel @ SY1568 @ SY1103 )
| ~ ~ ( ~ ! [SY1104: mworld] :
( ~ ( mrel @ SY1103 @ SY1104 )
| ( qmltpeq @ SV152 @ SY1567 @ SY1104 ) )
| ~ ! [SY1105: mworld] :
( ~ ( mrel @ SY1103 @ SY1105 )
| ( member @ SY1102 @ SV152 @ SY1105 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1103 @ SX7 )
| ( member @ SY1102 @ SY1567 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(674,plain,
! [SV153: $i,SV230: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ SV72 @ SV230 )
| ( qmltpeq @ ( range_of @ SV153 ) @ ( domain_of @ ( inverse @ SV153 ) ) @ SV230 ) )
= $true )
| ( ( mrel @ mactual @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(675,plain,
! [SV154: $i,SV231: mworld,SV73: mworld] :
( ( ( ~ ( mrel @ SV73 @ SV231 )
| ! [SY1574: $i,SY1575: mworld] :
( ~ ( mrel @ SV231 @ SY1575 )
| ( qmltpeq @ ( ordered_pair @ SV154 @ SY1574 ) @ ( unordered_pair @ ( singleton @ SV154 ) @ ( unordered_pair @ SV154 @ ( singleton @ SY1574 ) ) ) @ SY1575 ) ) )
= $true )
| ( ( mrel @ mactual @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(676,plain,
! [SV155: $i,SV232: mworld,SV74: mworld] :
( ( ( ~ ( mrel @ SV74 @ SV232 )
| ! [SY1576: $i,SY1577: mworld] :
( ~ ( mrel @ SV232 @ SY1577 )
| ! [SY1114: $i,SY1115: mworld] :
( ~ ( mrel @ SY1577 @ SY1115 )
| ~ ! [SY1116: mworld] :
( ~ ( mrel @ SY1115 @ SY1116 )
| ( qmltpeq @ SV155 @ SY1576 @ SY1116 ) )
| ! [SY1117: mworld] :
( ~ ( mrel @ SY1115 @ SY1117 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SY1114 ) @ ( unordered_pair @ SY1576 @ SY1114 ) @ SY1117 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(677,plain,
! [SV156: $i,SV233: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV233 )
| ! [SY1582: $i,SY1583: mworld] :
( ~ ( mrel @ SV233 @ SY1583 )
| ( qmltpeq @ ( image @ SY1582 @ SV156 ) @ ( range_of @ ( restrict @ SY1582 @ SV156 @ universal_class ) ) @ SY1583 ) ) )
= $true )
| ( ( mrel @ mactual @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(678,plain,
! [SV157: $i,SV234: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV234 )
| ! [SY1584: $i,SY1585: mworld] :
( ~ ( mrel @ SV234 @ SY1585 )
| ! [SY1124: $i,SY1125: mworld] :
( ~ ( mrel @ SY1585 @ SY1125 )
| ! [SY1126: $i] :
~ ( ~ ! [SY1127: mworld] :
( ~ ( mrel @ SY1125 @ SY1127 )
| ~ ! [SY1128: mworld] :
( ~ ( mrel @ SY1127 @ SY1128 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( flip @ SY1126 ) @ SY1128 ) )
| ~ ( ~ ! [SY1129: mworld] :
( ~ ( mrel @ SY1127 @ SY1129 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1129 ) )
| ~ ! [SY1130: mworld] :
( ~ ( mrel @ SY1127 @ SY1130 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1584 @ SV157 ) @ SY1124 ) @ SY1126 @ SY1130 ) ) ) )
| ~ ! [SY1131: mworld] :
( ~ ( mrel @ SY1125 @ SY1131 )
| ~ ~ ( ~ ! [SY1132: mworld] :
( ~ ( mrel @ SY1131 @ SY1132 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1132 ) )
| ~ ! [SY1133: mworld] :
( ~ ( mrel @ SY1131 @ SY1133 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1584 @ SV157 ) @ SY1124 ) @ SY1126 @ SY1133 ) ) )
| ! [SY1134: mworld] :
( ~ ( mrel @ SY1131 @ SY1134 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( flip @ SY1126 ) @ SY1134 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(679,plain,
! [SV158: $i,SV235: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV235 )
| ! [SY1597: $i,SY1598: mworld] :
( ~ ( mrel @ SV235 @ SY1598 )
| ! [SY1138: $i,SY1139: mworld] :
( ~ ( mrel @ SY1598 @ SY1139 )
| ! [SY1140: $i] :
~ ( ~ ! [SY1141: mworld] :
( ~ ( mrel @ SY1139 @ SY1141 )
| ~ ! [SY1142: mworld] :
( ~ ( mrel @ SY1141 @ SY1142 )
| ( member @ ( ordered_pair @ SY1138 @ SY1140 ) @ ( compose @ SY1597 @ SV158 ) @ SY1142 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1141 @ SX9 )
| ( member @ SY1138 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1141 @ SX9 )
| ( member @ SY1140 @ ( image @ SY1597 @ ( image @ SY1597 @ ( singleton @ SY1138 ) ) ) @ SX9 ) ) ) )
| ~ ! [SY1145: mworld] :
( ~ ( mrel @ SY1139 @ SY1145 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1145 @ SX9 )
| ( member @ SY1138 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1145 @ SX9 )
| ( member @ SY1140 @ ( image @ SY1597 @ ( image @ SY1597 @ ( singleton @ SY1138 ) ) ) @ SX9 ) ) )
| ! [SY1148: mworld] :
( ~ ( mrel @ SY1145 @ SY1148 )
| ( member @ ( ordered_pair @ SY1138 @ SY1140 ) @ ( compose @ SY1597 @ SV158 ) @ SY1148 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(680,plain,
! [SV159: $i,SV236: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV236 )
| ! [SY1610: $i,SY1611: mworld] :
( ~ ( mrel @ SV236 @ SY1611 )
| ! [SY1152: $i,SY1153: mworld] :
( ~ ( mrel @ SY1611 @ SY1153 )
| ! [SY1154: $i] :
~ ( ~ ! [SY1155: mworld] :
( ~ ( mrel @ SY1153 @ SY1155 )
| ~ ! [SY1156: mworld] :
( ~ ( mrel @ SY1155 @ SY1156 )
| ( member @ ( ordered_pair @ SV159 @ SY1610 ) @ ( cross_product @ SY1152 @ SY1154 ) @ SY1156 ) )
| ~ ( ~ ! [SY1157: mworld] :
( ~ ( mrel @ SY1155 @ SY1157 )
| ( member @ SV159 @ SY1152 @ SY1157 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1155 @ SX9 )
| ( member @ SY1610 @ SY1154 @ SX9 ) ) ) )
| ~ ! [SY1159: mworld] :
( ~ ( mrel @ SY1153 @ SY1159 )
| ~ ~ ( ~ ! [SY1160: mworld] :
( ~ ( mrel @ SY1159 @ SY1160 )
| ( member @ SV159 @ SY1152 @ SY1160 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1159 @ SX9 )
| ( member @ SY1610 @ SY1154 @ SX9 ) ) )
| ! [SY1162: mworld] :
( ~ ( mrel @ SY1159 @ SY1162 )
| ( member @ ( ordered_pair @ SV159 @ SY1610 ) @ ( cross_product @ SY1152 @ SY1154 ) @ SY1162 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(681,plain,
! [SV160: $i,SV237: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV237 )
| ! [SY1623: $i,SY1624: mworld] :
( ~ ( mrel @ SV237 @ SY1624 )
| ~ ! [SY1166: mworld] :
( ~ ( mrel @ SY1624 @ SY1166 )
| ( qmltpeq @ SV160 @ SY1623 @ SY1166 ) )
| ! [SY1167: mworld] :
( ~ ( mrel @ SY1624 @ SY1167 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SY1623 ) @ SY1167 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(682,plain,
! [SV161: $i,SV238: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV238 )
| ! [SY1627: $i,SY1628: mworld] :
( ~ ( mrel @ SV238 @ SY1628 )
| ! [SY1171: $i] :
~ ( ~ ! [SY1172: mworld] :
( ~ ( mrel @ SY1628 @ SY1172 )
| ~ ! [SY1173: mworld] :
( ~ ( mrel @ SY1172 @ SY1173 )
| ( member @ SY1171 @ ( intersection @ SV161 @ SY1627 ) @ SY1173 ) )
| ~ ( ~ ! [SY1174: mworld] :
( ~ ( mrel @ SY1172 @ SY1174 )
| ( member @ SY1171 @ SV161 @ SY1174 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1172 @ SX7 )
| ( member @ SY1171 @ SY1627 @ SX7 ) ) ) )
| ~ ! [SY1176: mworld] :
( ~ ( mrel @ SY1628 @ SY1176 )
| ~ ~ ( ~ ! [SY1177: mworld] :
( ~ ( mrel @ SY1176 @ SY1177 )
| ( member @ SY1171 @ SV161 @ SY1177 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1176 @ SX7 )
| ( member @ SY1171 @ SY1627 @ SX7 ) ) )
| ! [SY1179: mworld] :
( ~ ( mrel @ SY1176 @ SY1179 )
| ( member @ SY1171 @ ( intersection @ SV161 @ SY1627 ) @ SY1179 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(683,plain,
! [SV162: $i,SV239: mworld,SV81: mworld] :
( ( ( ~ ( mrel @ SV81 @ SV239 )
| ! [SY1638: $i,SY1639: mworld] :
( ~ ( mrel @ SV239 @ SY1639 )
| ~ ! [SY1183: mworld] :
( ~ ( mrel @ SY1639 @ SY1183 )
| ( qmltpeq @ SV162 @ SY1638 @ SY1183 ) )
| ! [SY1184: mworld] :
( ~ ( mrel @ SY1639 @ SY1184 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SY1638 ) @ SY1184 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(684,plain,
! [SV163: $i,SV240: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV240 )
| ! [SY1642: $i,SY1643: mworld] :
( ~ ( mrel @ SV240 @ SY1643 )
| ~ ! [SY1188: mworld] :
( ~ ( mrel @ SY1643 @ SY1188 )
| ( qmltpeq @ SV163 @ SY1642 @ SY1188 ) )
| ! [SY1189: mworld] :
( ~ ( mrel @ SY1643 @ SY1189 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SY1642 ) @ SY1189 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(685,plain,
! [SV164: $i,SV241: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV241 )
| ! [SY1646: $i,SY1647: mworld] :
( ~ ( mrel @ SV241 @ SY1647 )
| ~ ! [SY1193: mworld] :
( ~ ( mrel @ SY1647 @ SY1193 )
| ( qmltpeq @ SV164 @ SY1646 @ SY1193 ) )
| ! [SY1194: mworld] :
( ~ ( mrel @ SY1647 @ SY1194 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SY1646 ) @ SY1194 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(686,plain,
! [SV85: mworld,SV84: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV84 )
= $false )
| ( ( ~ ( mrel @ SV84 @ SV85 ) )
= $true )
| ( ( mrel @ SV2 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(687,plain,
! [SV86: $i,SV165: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV165 ) )
= $true )
| ( ( ! [SY1195: $i,SY1196: mworld] :
( ~ ( mrel @ SV165 @ SY1196 )
| ! [SY649: $i,SY650: mworld] :
( ~ ( mrel @ SY1196 @ SY650 )
| ! [SY651: $i,SY652: mworld] :
( ~ ( mrel @ SY650 @ SY652 )
| ~ ! [SY653: mworld] :
( ~ ( mrel @ SY652 @ SY653 )
| ( qmltpeq @ SV86 @ SY1195 @ SY653 ) )
| ! [SY654: mworld] :
( ~ ( mrel @ SY652 @ SY654 )
| ( qmltpeq @ ( restrict @ SY649 @ SV86 @ SY651 ) @ ( restrict @ SY649 @ SY1195 @ SY651 ) @ SY654 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(688,plain,
! [SV87: $i,SV166: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV166 ) )
= $true )
| ( ( ! [SY1203: $i] :
~ ( ~ ! [SY1204: mworld] :
( ~ ( mrel @ SV166 @ SY1204 )
| ~ ! [SY658: mworld] :
( ~ ( mrel @ SY1204 @ SY658 )
| ( member @ SY1203 @ ( domain_of @ SV87 ) @ SY658 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1204 @ SX5 )
| ( member @ SY1203 @ universal_class @ SX5 ) )
| ~ ! [SY660: mworld] :
( ~ ( mrel @ SY1204 @ SY660 )
| ~ ! [SY661: mworld] :
( ~ ( mrel @ SY660 @ SY661 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SY1203 ) @ universal_class ) @ null_class @ SY661 ) ) ) ) )
| ~ ! [SY1209: mworld] :
( ~ ( mrel @ SV166 @ SY1209 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1209 @ SX5 )
| ( member @ SY1203 @ universal_class @ SX5 ) )
| ~ ! [SY664: mworld] :
( ~ ( mrel @ SY1209 @ SY664 )
| ~ ! [SY665: mworld] :
( ~ ( mrel @ SY664 @ SY665 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SY1203 ) @ universal_class ) @ null_class @ SY665 ) ) ) )
| ! [SY666: mworld] :
( ~ ( mrel @ SY1209 @ SY666 )
| ( member @ SY1203 @ ( domain_of @ SV87 ) @ SY666 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(689,plain,
! [SV88: $i,SV167: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV167 ) )
= $true )
| ( ( ! [SY1214: $i,SY1215: mworld] :
( ~ ( mrel @ SV167 @ SY1215 )
| ! [SY670: $i,SY671: mworld] :
( ~ ( mrel @ SY1215 @ SY671 )
| ~ ! [SY672: mworld] :
( ~ ( mrel @ SY671 @ SY672 )
| ( qmltpeq @ SV88 @ SY1214 @ SY672 ) )
| ! [SY673: mworld] :
( ~ ( mrel @ SY671 @ SY673 )
| ( qmltpeq @ ( apply @ SV88 @ SY670 ) @ ( apply @ SY1214 @ SY670 ) @ SY673 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(690,plain,
! [SV89: $i,SV168: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV168 ) )
= $true )
| ( ( ! [SY1220: $i,SY1221: mworld] :
( ~ ( mrel @ SV168 @ SY1221 )
| ! [SY677: $i,SY678: mworld] :
( ~ ( mrel @ SY1221 @ SY678 )
| ! [SY679: $i,SY680: mworld] :
( ~ ( mrel @ SY678 @ SY680 )
| ~ ! [SY681: mworld] :
( ~ ( mrel @ SY680 @ SY681 )
| ( qmltpeq @ SV89 @ SY1220 @ SY681 ) )
| ! [SY682: mworld] :
( ~ ( mrel @ SY680 @ SY682 )
| ( qmltpeq @ ( restrict @ SV89 @ SY677 @ SY679 ) @ ( restrict @ SY1220 @ SY677 @ SY679 ) @ SY682 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(691,plain,
! [SV90: $i,SV169: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV169 ) )
= $true )
| ( ( ! [SY1228: $i,SY1229: mworld] :
( ~ ( mrel @ SV169 @ SY1229 )
| ! [SY686: $i,SY687: mworld] :
( ~ ( mrel @ SY1229 @ SY687 )
| ~ ! [SY688: mworld] :
( ~ ( mrel @ SY687 @ SY688 )
| ( qmltpeq @ SV90 @ SY1228 @ SY688 ) )
| ! [SY689: mworld] :
( ~ ( mrel @ SY687 @ SY689 )
| ( qmltpeq @ ( compose @ SY686 @ SV90 ) @ ( compose @ SY686 @ SY1228 ) @ SY689 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(692,plain,
! [SV91: $i,SV170: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV170 ) )
= $true )
| ( ( ! [SY1234: $i] :
~ ( ~ ! [SY1235: mworld] :
( ~ ( mrel @ SV170 @ SY1235 )
| ~ ! [SY693: mworld] :
( ~ ( mrel @ SY1235 @ SY693 )
| ( member @ SV91 @ ( sum_class @ SY1234 ) @ SY693 ) )
| ~ ! [SY694: $i] :
~ ~ ( ~ ! [SY695: mworld] :
( ~ ( mrel @ SY1235 @ SY695 )
| ( member @ SV91 @ SY694 @ SY695 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY1235 @ SX6 )
| ( member @ SY694 @ SY1234 @ SX6 ) ) ) )
| ~ ! [SY1240: mworld] :
( ~ ( mrel @ SV170 @ SY1240 )
| ~ ~ ! [SY698: $i] :
~ ~ ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SY1240 @ SY699 )
| ( member @ SV91 @ SY698 @ SY699 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY1240 @ SX6 )
| ( member @ SY698 @ SY1234 @ SX6 ) ) )
| ! [SY701: mworld] :
( ~ ( mrel @ SY1240 @ SY701 )
| ( member @ SV91 @ ( sum_class @ SY1234 ) @ SY701 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(693,plain,
! [SV92: $i,SV171: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV171 ) )
= $true )
| ( ( ! [SY1245: $i,SY1246: mworld] :
( ~ ( mrel @ SV171 @ SY1246 )
| ~ ! [SY705: mworld] :
( ~ ( mrel @ SY1246 @ SY705 )
| ( qmltpeq @ SV92 @ SY1245 @ SY705 ) )
| ! [SY706: mworld] :
( ~ ( mrel @ SY1246 @ SY706 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SY1245 ) @ SY706 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(694,plain,
! [SV93: $i,SV172: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV172 ) )
= $true )
| ( ( ! [SY1249: $i,SY1250: mworld] :
( ~ ( mrel @ SV172 @ SY1250 )
| ( qmltpeq @ ( apply @ SV93 @ SY1249 ) @ ( sum_class @ ( image @ SV93 @ ( singleton @ SY1249 ) ) ) @ SY1250 ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(695,plain,
! [SV94: $i,SV173: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV173 ) )
= $true )
| ( ( ! [SY1251: $i,SY1252: mworld] :
( ~ ( mrel @ SV173 @ SY1252 )
| ! [SY713: $i,SY714: mworld] :
( ~ ( mrel @ SY1252 @ SY714 )
| ( qmltpeq @ ( restrict @ SY1251 @ SV94 @ SY713 ) @ ( intersection @ SY1251 @ ( cross_product @ SV94 @ SY713 ) ) @ SY714 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(696,plain,
! [SV95: $i,SV174: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV174 ) )
= $true )
| ( ( qmltpeq @ ( singleton @ SV95 ) @ ( unordered_pair @ SV95 @ SV95 ) @ SV174 )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(697,plain,
! [SV96: $i,SV175: mworld,SV13: mworld] :
( ( ( ~ ( mrel @ SV13 @ SV175 ) )
= $true )
| ( ( ! [SY1255: $i,SY1256: mworld] :
( ~ ( mrel @ SV175 @ SY1256 )
| ! [SY719: $i,SY720: mworld] :
( ~ ( mrel @ SY1256 @ SY720 )
| ~ ! [SY721: mworld] :
( ~ ( mrel @ SY720 @ SY721 )
| ( qmltpeq @ SV96 @ SY1255 @ SY721 ) )
| ! [SY722: mworld] :
( ~ ( mrel @ SY720 @ SY722 )
| ( qmltpeq @ ( union @ SY719 @ SV96 ) @ ( union @ SY719 @ SY1255 ) @ SY722 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(698,plain,
! [SV97: $i,SV176: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ SV176 ) )
= $true )
| ( ( ! [SY1261: $i,SY1262: mworld] :
( ~ ( mrel @ SV176 @ SY1262 )
| ~ ! [SY726: mworld] :
( ~ ( mrel @ SY1262 @ SY726 )
| ( qmltpeq @ SV97 @ SY1261 @ SY726 ) )
| ! [SY727: mworld] :
( ~ ( mrel @ SY1262 @ SY727 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SY1261 ) @ SY727 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(699,plain,
! [SV98: $i,SV177: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV177 ) )
= $true )
| ( ( ! [SY1265: $i,SY1266: mworld] :
( ~ ( mrel @ SV177 @ SY1266 )
| ~ ~ ( ~ ! [SY731: mworld] :
( ~ ( mrel @ SY1266 @ SY731 )
| ( member @ SV98 @ universal_class @ SY731 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1266 @ SX5 )
| ( function @ SY1265 @ SX5 ) ) )
| ! [SY733: mworld] :
( ~ ( mrel @ SY1266 @ SY733 )
| ( member @ ( image @ SY1265 @ SV98 ) @ universal_class @ SY733 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(700,plain,
! [SV99: $i,SV178: mworld,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ SV178 ) )
= $true )
| ( ( ! [SY1270: $i,SY1271: mworld] :
( ~ ( mrel @ SV178 @ SY1271 )
| ( member @ ( unordered_pair @ SV99 @ SY1270 ) @ universal_class @ SY1271 ) ) )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[615]) ).
thf(701,plain,
! [SV100: $i,SV179: mworld,SV17: mworld] :
( ( ( ~ ( mrel @ SV17 @ SV179 ) )
= $true )
| ( ( ! [SY1272: $i,SY1273: mworld] :
( ~ ( mrel @ SV179 @ SY1273 )
| ~ ! [SY740: mworld] :
( ~ ( mrel @ SY1273 @ SY740 )
| ( qmltpeq @ SV100 @ SY1272 @ SY740 ) )
| ! [SY741: mworld] :
( ~ ( mrel @ SY1273 @ SY741 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SY1272 ) @ SY741 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(702,plain,
! [SV101: $i,SV180: mworld,SV18: mworld] :
( ( ( ~ ( mrel @ SV18 @ SV180 ) )
= $true )
| ( ( qmltpeq @ ( inverse @ SV101 ) @ ( domain_of @ ( flip @ ( cross_product @ SV101 @ universal_class ) ) ) @ SV180 )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(703,plain,
! [SV102: $i,SV181: mworld,SV19: mworld] :
( ( ( ~ ( mrel @ SV19 @ SV181 ) )
= $true )
| ( ( subclass @ ( rotate @ SV102 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV181 )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(704,plain,
! [SV103: $i,SV182: mworld,SV20: mworld] :
( ( ( ~ ( mrel @ SV20 @ SV182 ) )
= $true )
| ( ( ! [SY1276: $i,SY1277: mworld] :
( ~ ( mrel @ SV182 @ SY1277 )
| ! [SY747: $i] :
~ ( ~ ! [SY748: mworld] :
( ~ ( mrel @ SY1277 @ SY748 )
| ~ ! [SY749: mworld] :
( ~ ( mrel @ SY748 @ SY749 )
| ( member @ SY747 @ ( union @ SV103 @ SY1276 ) @ SY749 ) )
| ! [SY750: mworld] :
( ~ ( mrel @ SY748 @ SY750 )
| ( member @ SY747 @ SV103 @ SY750 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY748 @ SX7 )
| ( member @ SY747 @ SY1276 @ SX7 ) ) )
| ~ ! [SY752: mworld] :
( ~ ( mrel @ SY1277 @ SY752 )
| ~ ( ! [SY753: mworld] :
( ~ ( mrel @ SY752 @ SY753 )
| ( member @ SY747 @ SV103 @ SY753 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY752 @ SX7 )
| ( member @ SY747 @ SY1276 @ SX7 ) ) )
| ! [SY755: mworld] :
( ~ ( mrel @ SY752 @ SY755 )
| ( member @ SY747 @ ( union @ SV103 @ SY1276 ) @ SY755 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(705,plain,
! [SV104: $i,SV183: mworld,SV21: mworld] :
( ( ( ~ ( mrel @ SV21 @ SV183 ) )
= $true )
| ( ( ! [SY1287: $i,SY1288: mworld] :
( ~ ( mrel @ SV183 @ SY1288 )
| ! [SY759: $i,SY760: mworld] :
( ~ ( mrel @ SY1288 @ SY760 )
| ! [SY761: $i,SY762: mworld] :
( ~ ( mrel @ SY760 @ SY762 )
| ~ ! [SY763: mworld] :
( ~ ( mrel @ SY762 @ SY763 )
| ( qmltpeq @ SV104 @ SY1287 @ SY763 ) )
| ! [SY764: mworld] :
( ~ ( mrel @ SY762 @ SY764 )
| ( qmltpeq @ ( restrict @ SY759 @ SY761 @ SV104 ) @ ( restrict @ SY759 @ SY761 @ SY1287 ) @ SY764 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(706,plain,
! [SV105: $i,SV184: mworld,SV22: mworld] :
( ( ( ~ ( mrel @ SV22 @ SV184 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV105 ) @ ( union @ SV105 @ ( singleton @ SV105 ) ) @ SV184 )
= $true )
| ( ( mrel @ mactual @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(707,plain,
! [SV106: $i,SV185: mworld,SV23: mworld] :
( ( ( ~ ( mrel @ SV23 @ SV185 ) )
= $true )
| ( ( ! [SY1295: $i] :
~ ( ~ ! [SY1296: mworld] :
( ~ ( mrel @ SV185 @ SY1296 )
| ~ ! [SY769: mworld] :
( ~ ( mrel @ SY1296 @ SY769 )
| ( member @ SV106 @ ( power_class @ SY1295 ) @ SY769 ) )
| ~ ( ~ ! [SY770: mworld] :
( ~ ( mrel @ SY1296 @ SY770 )
| ( member @ SV106 @ universal_class @ SY770 ) )
| ~ ! [SY771: mworld] :
( ~ ( mrel @ SY1296 @ SY771 )
| ( subclass @ SV106 @ SY1295 @ SY771 ) ) ) )
| ~ ! [SY1300: mworld] :
( ~ ( mrel @ SV185 @ SY1300 )
| ~ ~ ( ~ ! [SY773: mworld] :
( ~ ( mrel @ SY1300 @ SY773 )
| ( member @ SV106 @ universal_class @ SY773 ) )
| ~ ! [SY774: mworld] :
( ~ ( mrel @ SY1300 @ SY774 )
| ( subclass @ SV106 @ SY1295 @ SY774 ) ) )
| ! [SY775: mworld] :
( ~ ( mrel @ SY1300 @ SY775 )
| ( member @ SV106 @ ( power_class @ SY1295 ) @ SY775 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(708,plain,
! [SV107: $i,SV186: mworld,SV24: mworld] :
( ( ( ~ ( mrel @ SV24 @ SV186 ) )
= $true )
| ( ( ! [SY1304: $i,SY1305: mworld] :
( ~ ( mrel @ SV186 @ SY1305 )
| ! [SY779: $i,SY780: mworld] :
( ~ ( mrel @ SY1305 @ SY780 )
| ~ ! [SY781: mworld] :
( ~ ( mrel @ SY780 @ SY781 )
| ( qmltpeq @ SV107 @ SY1304 @ SY781 ) )
| ! [SY782: mworld] :
( ~ ( mrel @ SY780 @ SY782 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SY779 ) @ ( ordered_pair @ SY1304 @ SY779 ) @ SY782 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(709,plain,
! [SV108: $i,SV187: mworld,SV25: mworld] :
( ( ( ~ ( mrel @ SV25 @ SV187 ) )
= $true )
| ( ( ! [SY1310: $i,SY1311: mworld] :
( ~ ( mrel @ SV187 @ SY1311 )
| ! [SY786: $i,SY787: mworld] :
( ~ ( mrel @ SY1311 @ SY787 )
| ~ ~ ( ~ ! [SY788: mworld] :
( ~ ( mrel @ SY787 @ SY788 )
| ( qmltpeq @ SV108 @ SY1310 @ SY788 ) )
| ~ ! [SY789: mworld] :
( ~ ( mrel @ SY787 @ SY789 )
| ( subclass @ SV108 @ SY786 @ SY789 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY787 @ SX7 )
| ( subclass @ SY1310 @ SY786 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(710,plain,
! [SV109: $i,SV188: mworld,SV26: mworld] :
( ( ( ~ ( mrel @ SV26 @ SV188 ) )
= $true )
| ( ( ! [SY1317: $i] :
~ ( ~ ! [SY1318: mworld] :
( ~ ( mrel @ SV188 @ SY1318 )
| ~ ! [SY794: mworld] :
( ~ ( mrel @ SY1318 @ SY794 )
| ( member @ SY1317 @ ( complement @ SV109 ) @ SY794 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1318 @ SX5 )
| ( member @ SY1317 @ universal_class @ SX5 ) )
| ~ ! [SY796: mworld] :
( ~ ( mrel @ SY1318 @ SY796 )
| ~ ! [SY797: mworld] :
( ~ ( mrel @ SY796 @ SY797 )
| ( member @ SY1317 @ SV109 @ SY797 ) ) ) ) )
| ~ ! [SY1323: mworld] :
( ~ ( mrel @ SV188 @ SY1323 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1323 @ SX5 )
| ( member @ SY1317 @ universal_class @ SX5 ) )
| ~ ! [SY800: mworld] :
( ~ ( mrel @ SY1323 @ SY800 )
| ~ ! [SY801: mworld] :
( ~ ( mrel @ SY800 @ SY801 )
| ( member @ SY1317 @ SV109 @ SY801 ) ) ) )
| ! [SY802: mworld] :
( ~ ( mrel @ SY1323 @ SY802 )
| ( member @ SY1317 @ ( complement @ SV109 ) @ SY802 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(711,plain,
! [SV110: $i,SV189: mworld,SV27: mworld] :
( ( ( ~ ( mrel @ SV27 @ SV189 ) )
= $true )
| ( ( ! [SY1328: $i,SY1329: mworld] :
( ~ ( mrel @ SV189 @ SY1329 )
| ! [SY806: $i,SY807: mworld] :
( ~ ( mrel @ SY1329 @ SY807 )
| ~ ! [SY808: mworld] :
( ~ ( mrel @ SY807 @ SY808 )
| ( qmltpeq @ SV110 @ SY1328 @ SY808 ) )
| ! [SY809: mworld] :
( ~ ( mrel @ SY807 @ SY809 )
| ( qmltpeq @ ( intersection @ SV110 @ SY806 ) @ ( intersection @ SY1328 @ SY806 ) @ SY809 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(712,plain,
! [SV111: $i,SV190: mworld,SV28: mworld] :
( ( ( ~ ( mrel @ SV28 @ SV190 ) )
= $true )
| ( ( ! [SY1334: $i,SY1335: mworld] :
( ~ ( mrel @ SV190 @ SY1335 )
| ! [SY813: $i,SY814: mworld] :
( ~ ( mrel @ SY1335 @ SY814 )
| ~ ! [SY815: mworld] :
( ~ ( mrel @ SY814 @ SY815 )
| ( qmltpeq @ SV111 @ SY1334 @ SY815 ) )
| ! [SY816: mworld] :
( ~ ( mrel @ SY814 @ SY816 )
| ( qmltpeq @ ( compose @ SV111 @ SY813 ) @ ( compose @ SY1334 @ SY813 ) @ SY816 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(713,plain,
! [SV112: $i,SV191: mworld,SV30: mworld] :
( ( ( ~ ( mrel @ SV30 @ SV191 ) )
= $true )
| ( ( ! [SY1340: $i,SY1341: mworld] :
( ~ ( mrel @ SV191 @ SY1341 )
| ( subclass @ ( compose @ SY1340 @ SV112 ) @ ( cross_product @ universal_class @ universal_class ) @ SY1341 ) ) )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(714,plain,
! [SV113: $i,SV192: mworld,SV31: mworld] :
( ( ( ~ ( mrel @ SV31 @ SV192 ) )
= $true )
| ( ( ! [SY1342: $i,SY1343: mworld] :
( ~ ( mrel @ SV192 @ SY1343 )
| ~ ! [SY823: mworld] :
( ~ ( mrel @ SY1343 @ SY823 )
| ( qmltpeq @ SV113 @ SY1342 @ SY823 ) )
| ! [SY824: mworld] :
( ~ ( mrel @ SY1343 @ SY824 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SY1342 ) @ SY824 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(715,plain,
! [SV114: $i,SV193: mworld,SV32: mworld] :
( ( ( ~ ( mrel @ SV32 @ SV193 ) )
= $true )
| ( ( ! [SY1346: $i,SY1347: mworld] :
( ~ ( mrel @ SV193 @ SY1347 )
| ! [SY828: $i,SY829: mworld] :
( ~ ( mrel @ SY1347 @ SY829 )
| ~ ~ ( ~ ! [SY830: mworld] :
( ~ ( mrel @ SY829 @ SY830 )
| ( qmltpeq @ SV114 @ SY1346 @ SY830 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY829 @ SX7 )
| ( qmltpeq @ SY1346 @ SY828 @ SX7 ) ) )
| ! [SY832: mworld] :
( ~ ( mrel @ SY829 @ SY832 )
| ( qmltpeq @ SV114 @ SY828 @ SY832 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(716,plain,
! [SV115: $i,SV194: mworld,SV33: mworld] :
( ( ( ~ ( mrel @ SV33 @ SV194 ) )
= $true )
| ( ( ! [SY1353: $i] :
~ ( ~ ! [SY1354: mworld] :
( ~ ( mrel @ SV194 @ SY1354 )
| ~ ! [SY836: mworld] :
( ~ ( mrel @ SY1354 @ SY836 )
| ( subclass @ SV115 @ SY1353 @ SY836 ) )
| ! [SY837: mworld] :
( ~ ( mrel @ SY1354 @ SY837 )
| ! [SY838: $i,SY839: mworld] :
( ~ ( mrel @ SY837 @ SY839 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY839 @ SY840 )
| ( member @ SY838 @ SV115 @ SY840 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY839 @ SX8 )
| ( member @ SY838 @ SY1353 @ SX8 ) ) ) ) )
| ~ ! [SY1361: mworld] :
( ~ ( mrel @ SV194 @ SY1361 )
| ~ ! [SY843: mworld] :
( ~ ( mrel @ SY1361 @ SY843 )
| ! [SY844: $i,SY845: mworld] :
( ~ ( mrel @ SY843 @ SY845 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY845 @ SY846 )
| ( member @ SY844 @ SV115 @ SY846 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY845 @ SX8 )
| ( member @ SY844 @ SY1353 @ SX8 ) ) ) )
| ! [SY848: mworld] :
( ~ ( mrel @ SY1361 @ SY848 )
| ( subclass @ SV115 @ SY1353 @ SY848 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(717,plain,
! [SV116: $i,SV195: mworld,SV34: mworld] :
( ( ( ~ ( mrel @ SV34 @ SV195 ) )
= $true )
| ( ( ! [SY1368: $i,SY1369: mworld] :
( ~ ( mrel @ SV195 @ SY1369 )
| ~ ~ ( ~ ! [SY852: mworld] :
( ~ ( mrel @ SY1369 @ SY852 )
| ( qmltpeq @ SV116 @ SY1368 @ SY852 ) )
| ~ ! [SY853: mworld] :
( ~ ( mrel @ SY1369 @ SY853 )
| ( function @ SV116 @ SY853 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1369 @ SX5 )
| ( function @ SY1368 @ SX5 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(718,plain,
! [SV117: $i,SV196: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ SV196 ) )
= $true )
| ( ( ! [SY1373: $i,SY1374: mworld] :
( ~ ( mrel @ SV196 @ SY1374 )
| ~ ! [SY858: mworld] :
( ~ ( mrel @ SY1374 @ SY858 )
| ( qmltpeq @ SV117 @ SY1373 @ SY858 ) )
| ! [SY859: mworld] :
( ~ ( mrel @ SY1374 @ SY859 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SY1373 ) @ SY859 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(719,plain,
! [SV118: $i,SV197: mworld,SV36: mworld] :
( ( ( ~ ( mrel @ SV36 @ SV197 ) )
= $true )
| ( ( ! [SY1377: $i,SY1378: mworld] :
( ~ ( mrel @ SV197 @ SY1378 )
| ! [SY863: $i,SY864: mworld] :
( ~ ( mrel @ SY1378 @ SY864 )
| ~ ! [SY865: mworld] :
( ~ ( mrel @ SY864 @ SY865 )
| ( qmltpeq @ SV118 @ SY1377 @ SY865 ) )
| ! [SY866: mworld] :
( ~ ( mrel @ SY864 @ SY866 )
| ( qmltpeq @ ( apply @ SY863 @ SV118 ) @ ( apply @ SY863 @ SY1377 ) @ SY866 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(720,plain,
! [SV119: $i,SV198: mworld,SV37: mworld] :
( ( ( ~ ( mrel @ SV37 @ SV198 ) )
= $true )
| ( ( ! [SY1383: $i,SY1384: mworld] :
( ~ ( mrel @ SV198 @ SY1384 )
| ! [SY870: $i,SY871: mworld] :
( ~ ( mrel @ SY1384 @ SY871 )
| ~ ! [SY872: mworld] :
( ~ ( mrel @ SY871 @ SY872 )
| ( qmltpeq @ SV119 @ SY1383 @ SY872 ) )
| ! [SY873: mworld] :
( ~ ( mrel @ SY871 @ SY873 )
| ( qmltpeq @ ( cross_product @ SY870 @ SV119 ) @ ( cross_product @ SY870 @ SY1383 ) @ SY873 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(721,plain,
! [SV120: $i,SV199: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV199 ) )
= $true )
| ( ( ~ ! [SY1389: mworld] :
( ~ ( mrel @ SV199 @ SY1389 )
| ( member @ SV120 @ universal_class @ SY1389 ) )
| ! [SY1390: mworld] :
( ~ ( mrel @ SV199 @ SY1390 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SY1390 ) ) )
= $true )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(722,plain,
! [SV121: $i,SV200: mworld,SV39: mworld] :
( ( ( ~ ( mrel @ SV39 @ SV200 ) )
= $true )
| ( ( ! [SY1391: $i,SY1392: mworld] :
( ~ ( mrel @ SV200 @ SY1392 )
| ! [SY880: $i,SY881: mworld] :
( ~ ( mrel @ SY1392 @ SY881 )
| ~ ~ ( ~ ! [SY882: mworld] :
( ~ ( mrel @ SY881 @ SY882 )
| ( qmltpeq @ SV121 @ SY1391 @ SY882 ) )
| ~ ! [SY883: mworld] :
( ~ ( mrel @ SY881 @ SY883 )
| ( subclass @ SY880 @ SV121 @ SY883 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY881 @ SX7 )
| ( subclass @ SY880 @ SY1391 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(723,plain,
! [SV122: $i,SV201: mworld,SV40: mworld] :
( ( ( ~ ( mrel @ SV40 @ SV201 ) )
= $true )
| ( ( ! [SY1398: $i,SY1399: mworld] :
( ~ ( mrel @ SV201 @ SY1399 )
| ! [SY888: $i,SY889: mworld] :
( ~ ( mrel @ SY1399 @ SY889 )
| ~ ! [SY890: mworld] :
( ~ ( mrel @ SY889 @ SY890 )
| ( qmltpeq @ SV122 @ SY1398 @ SY890 ) )
| ! [SY891: mworld] :
( ~ ( mrel @ SY889 @ SY891 )
| ( qmltpeq @ ( ordered_pair @ SY888 @ SV122 ) @ ( ordered_pair @ SY888 @ SY1398 ) @ SY891 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(724,plain,
! [SV123: $i,SV202: mworld,SV41: mworld] :
( ( ( ~ ( mrel @ SV41 @ SV202 ) )
= $true )
| ( ( ! [SY1404: $i,SY1405: mworld] :
( ~ ( mrel @ SV202 @ SY1405 )
| ! [SY895: $i,SY896: mworld] :
( ~ ( mrel @ SY1405 @ SY896 )
| ~ ! [SY897: mworld] :
( ~ ( mrel @ SY896 @ SY897 )
| ( qmltpeq @ SV123 @ SY1404 @ SY897 ) )
| ! [SY898: mworld] :
( ~ ( mrel @ SY896 @ SY898 )
| ( qmltpeq @ ( image @ SY895 @ SV123 ) @ ( image @ SY895 @ SY1404 ) @ SY898 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(725,plain,
! [SV124: $i,SV203: mworld,SV42: mworld] :
( ( ( ~ ( mrel @ SV42 @ SV203 ) )
= $true )
| ( ( ! [SY1410: $i,SY1411: mworld] :
( ~ ( mrel @ SV203 @ SY1411 )
| ! [SY902: $i,SY903: mworld] :
( ~ ( mrel @ SY1411 @ SY903 )
| ~ ~ ( ~ ! [SY904: mworld] :
( ~ ( mrel @ SY903 @ SY904 )
| ( qmltpeq @ SV124 @ SY1410 @ SY904 ) )
| ~ ! [SY905: mworld] :
( ~ ( mrel @ SY903 @ SY905 )
| ( member @ SV124 @ SY902 @ SY905 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY903 @ SX7 )
| ( member @ SY1410 @ SY902 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(726,plain,
! [SV125: $i,SV204: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV204 ) )
= $true )
| ( ( ~ ! [SY1417: mworld] :
( ~ ( mrel @ SV204 @ SY1417 )
| ( member @ SV125 @ universal_class @ SY1417 ) )
| ! [SY1418: mworld] :
( ~ ( mrel @ SV204 @ SY1418 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SY1418 ) ) )
= $true )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(727,plain,
! [SV126: $i,SV205: mworld,SV44: mworld] :
( ( ( ~ ( mrel @ SV44 @ SV205 ) )
= $true )
| ( ( ! [SY1419: $i,SY1420: mworld] :
( ~ ( mrel @ SV205 @ SY1420 )
| ! [SY913: $i,SY914: mworld] :
( ~ ( mrel @ SY1420 @ SY914 )
| ~ ! [SY915: mworld] :
( ~ ( mrel @ SY914 @ SY915 )
| ( qmltpeq @ SV126 @ SY1419 @ SY915 ) )
| ! [SY916: mworld] :
( ~ ( mrel @ SY914 @ SY916 )
| ( qmltpeq @ ( intersection @ SY913 @ SV126 ) @ ( intersection @ SY913 @ SY1419 ) @ SY916 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(728,plain,
! [SV127: $i,SV206: mworld,SV45: mworld] :
( ( ( ~ ( mrel @ SV45 @ SV206 ) )
= $true )
| ( ( ! [SY1425: $i,SY1426: mworld] :
( ~ ( mrel @ SV206 @ SY1426 )
| ~ ~ ( ~ ! [SY920: mworld] :
( ~ ( mrel @ SY1426 @ SY920 )
| ( qmltpeq @ SV127 @ SY1425 @ SY920 ) )
| ~ ! [SY921: mworld] :
( ~ ( mrel @ SY1426 @ SY921 )
| ( inductive @ SV127 @ SY921 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1426 @ SX5 )
| ( inductive @ SY1425 @ SX5 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(729,plain,
! [SV128: $i,SV207: mworld,SV46: mworld] :
( ( ( ~ ( mrel @ SV46 @ SV207 ) )
= $true )
| ( ( ! [SY1430: $i,SY1431: mworld] :
( ~ ( mrel @ SV207 @ SY1431 )
| ! [SY926: $i,SY927: mworld] :
( ~ ( mrel @ SY1431 @ SY927 )
| ~ ~ ( ~ ! [SY928: mworld] :
( ~ ( mrel @ SY927 @ SY928 )
| ( qmltpeq @ SV128 @ SY1430 @ SY928 ) )
| ~ ! [SY929: mworld] :
( ~ ( mrel @ SY927 @ SY929 )
| ( disjoint @ SV128 @ SY926 @ SY929 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY927 @ SX7 )
| ( disjoint @ SY1430 @ SY926 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(730,plain,
( ( ! [SY630: mworld] :
( ~ ( mrel @ mactual @ SY630 )
| ( function @ sK1_SX0 @ SY630 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(731,plain,
( ( ! [SY631: mworld] :
( ~ ( mrel @ mactual @ SY631 )
| ! [SY632: $i,SY633: mworld] :
( ~ ( mrel @ SY631 @ SY633 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY633 @ SX4 )
| ( member @ SY632 @ universal_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY633 @ SX4 )
| ( qmltpeq @ SY632 @ null_class @ SX4 ) )
| ! [SY636: mworld] :
( ~ ( mrel @ SY633 @ SY636 )
| ( member @ ( apply @ sK1_SX0 @ SY632 ) @ SY632 @ SY636 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(732,plain,
! [SV129: $i,SV208: mworld,SV47: mworld] :
( ( ( ~ ( mrel @ SV47 @ SV208 ) )
= $true )
| ( ( subclass @ ( flip @ SV129 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV208 )
= $true )
| ( ( mrel @ mactual @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(733,plain,
! [SV130: $i,SV209: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ SV209 ) )
= $true )
| ( ( ! [SY1437: $i] :
~ ( ~ ! [SY1438: mworld] :
( ~ ( mrel @ SV209 @ SY1438 )
| ~ ! [SY935: mworld] :
( ~ ( mrel @ SY1438 @ SY935 )
| ( qmltpeq @ SV130 @ SY1437 @ SY935 ) )
| ~ ( ~ ! [SY936: mworld] :
( ~ ( mrel @ SY1438 @ SY936 )
| ( subclass @ SV130 @ SY1437 @ SY936 ) )
| ~ ! [SY937: mworld] :
( ~ ( mrel @ SY1438 @ SY937 )
| ( subclass @ SY1437 @ SV130 @ SY937 ) ) ) )
| ~ ! [SY1442: mworld] :
( ~ ( mrel @ SV209 @ SY1442 )
| ~ ~ ( ~ ! [SY939: mworld] :
( ~ ( mrel @ SY1442 @ SY939 )
| ( subclass @ SV130 @ SY1437 @ SY939 ) )
| ~ ! [SY940: mworld] :
( ~ ( mrel @ SY1442 @ SY940 )
| ( subclass @ SY1437 @ SV130 @ SY940 ) ) )
| ! [SY941: mworld] :
( ~ ( mrel @ SY1442 @ SY941 )
| ( qmltpeq @ SV130 @ SY1437 @ SY941 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(734,plain,
! [SV131: $i,SV210: mworld,SV49: mworld] :
( ( ( ~ ( mrel @ SV49 @ SV210 ) )
= $true )
| ( ( qmltpeq @ SV131 @ SV131 @ SV210 )
= $true )
| ( ( mrel @ mactual @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[649]) ).
thf(735,plain,
! [SV132: $i,SV211: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV211 ) )
= $true )
| ( ( ! [SY1446: $i,SY1447: mworld] :
( ~ ( mrel @ SV211 @ SY1447 )
| ~ ! [SY946: mworld] :
( ~ ( mrel @ SY1447 @ SY946 )
| ( qmltpeq @ SV132 @ SY1446 @ SY946 ) )
| ! [SY947: mworld] :
( ~ ( mrel @ SY1447 @ SY947 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SY1446 ) @ SY947 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(736,plain,
! [SV133: $i,SV212: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV212 ) )
= $true )
| ( ( ! [SY1450: $i,SY1451: mworld] :
( ~ ( mrel @ SV212 @ SY1451 )
| ~ ! [SY951: mworld] :
( ~ ( mrel @ SY1451 @ SY951 )
| ( qmltpeq @ SV133 @ SY1450 @ SY951 ) )
| ! [SY952: mworld] :
( ~ ( mrel @ SY1451 @ SY952 )
| ( qmltpeq @ SY1450 @ SV133 @ SY952 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(737,plain,
( ( ~ ( mrel @ sK2_SX0 @ sK5_SY953 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(738,plain,
( ( subclass @ sK4_SY637 @ sK4_SY637 @ sK5_SY953 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(739,plain,
( ( ! [SY639: mworld] :
( ~ ( mrel @ mactual @ SY639 )
| ( member @ sK3_SX0 @ universal_class @ SY639 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(740,plain,
( ( ~ ( ~ ! [SY640: mworld] :
( ~ ( mrel @ mactual @ SY640 )
| ( inductive @ sK3_SX0 @ SY640 ) )
| ~ ! [SY641: mworld] :
( ~ ( mrel @ mactual @ SY641 )
| ! [SY642: $i,SY643: mworld] :
( ~ ( mrel @ SY641 @ SY643 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY643 @ SX4 )
| ( inductive @ SY642 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY643 @ SY645 )
| ( subclass @ sK3_SX0 @ SY642 @ SY645 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(741,plain,
! [SV134: $i,SV213: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ SV213 ) )
= $true )
| ( ( ! [SY1454: $i,SY1455: mworld] :
( ~ ( mrel @ SV213 @ SY1455 )
| ~ ! [SY957: mworld] :
( ~ ( mrel @ SY1455 @ SY957 )
| ( qmltpeq @ SV134 @ SY1454 @ SY957 ) )
| ! [SY958: mworld] :
( ~ ( mrel @ SY1455 @ SY958 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SY1454 ) @ SY958 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(742,plain,
! [SV135: $i,SV214: mworld,SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ SV214 ) )
= $true )
| ( ( ~ ! [SY1458: mworld] :
( ~ ( mrel @ SV214 @ SY1458 )
| ( member @ SV135 @ null_class @ SY1458 ) ) )
= $true )
| ( ( mrel @ mactual @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(743,plain,
! [SV136: $i,SV215: mworld,SV54: mworld] :
( ( ( ~ ( mrel @ SV54 @ SV215 ) )
= $true )
| ( ( ! [SY1459: $i,SY1460: mworld] :
( ~ ( mrel @ SV215 @ SY1460 )
| ! [SY964: $i,SY965: mworld] :
( ~ ( mrel @ SY1460 @ SY965 )
| ~ ~ ( ~ ! [SY966: mworld] :
( ~ ( mrel @ SY965 @ SY966 )
| ( qmltpeq @ SV136 @ SY1459 @ SY966 ) )
| ~ ! [SY967: mworld] :
( ~ ( mrel @ SY965 @ SY967 )
| ( disjoint @ SY964 @ SV136 @ SY967 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY965 @ SX7 )
| ( disjoint @ SY964 @ SY1459 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(744,plain,
! [SV137: $i,SV55: mworld] :
( ( ( ~ ! [SY969: mworld] :
( ~ ( mrel @ SV55 @ SY969 )
| ~ ! [SY970: mworld] :
( ~ ( mrel @ SY969 @ SY970 )
| ( function @ SV137 @ SY970 ) )
| ~ ( ~ ! [SY971: mworld] :
( ~ ( mrel @ SY969 @ SY971 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY971 ) )
| ~ ! [SY972: mworld] :
( ~ ( mrel @ SY969 @ SY972 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY972 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(745,plain,
! [SV137: $i,SV55: mworld] :
( ( ( ~ ! [SY973: mworld] :
( ~ ( mrel @ SV55 @ SY973 )
| ~ ~ ( ~ ! [SY974: mworld] :
( ~ ( mrel @ SY973 @ SY974 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY974 ) )
| ~ ! [SY975: mworld] :
( ~ ( mrel @ SY973 @ SY975 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY975 ) ) )
| ! [SY976: mworld] :
( ~ ( mrel @ SY973 @ SY976 )
| ( function @ SV137 @ SY976 ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(746,plain,
! [SV138: $i,SV216: mworld,SV56: mworld] :
( ( ( ~ ( mrel @ SV56 @ SV216 ) )
= $true )
| ( ( ! [SY1466: $i] :
~ ( ~ ! [SY1467: mworld] :
( ~ ( mrel @ SV216 @ SY1467 )
| ~ ! [SY980: mworld] :
( ~ ( mrel @ SY1467 @ SY980 )
| ( disjoint @ SV138 @ SY1466 @ SY980 ) )
| ! [SY981: mworld] :
( ~ ( mrel @ SY1467 @ SY981 )
| ! [SY982: $i,SY983: mworld] :
( ~ ( mrel @ SY981 @ SY983 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY983 @ SY984 )
| ( member @ SY982 @ SV138 @ SY984 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY983 @ SX8 )
| ( member @ SY982 @ SY1466 @ SX8 ) ) ) ) ) )
| ~ ! [SY1474: mworld] :
( ~ ( mrel @ SV216 @ SY1474 )
| ~ ! [SY987: mworld] :
( ~ ( mrel @ SY1474 @ SY987 )
| ! [SY988: $i,SY989: mworld] :
( ~ ( mrel @ SY987 @ SY989 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY989 @ SY990 )
| ( member @ SY988 @ SV138 @ SY990 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY989 @ SX8 )
| ( member @ SY988 @ SY1466 @ SX8 ) ) ) ) )
| ! [SY992: mworld] :
( ~ ( mrel @ SY1474 @ SY992 )
| ( disjoint @ SV138 @ SY1466 @ SY992 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(747,plain,
! [SV139: $i,SV217: mworld,SV57: mworld] :
( ( ( ~ ( mrel @ SV57 @ SV217 ) )
= $true )
| ( ( ! [SY1481: $i] :
~ ( ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV217 @ SY1482 )
| ~ ! [SY996: mworld] :
( ~ ( mrel @ SY1482 @ SY996 )
| ( member @ ( ordered_pair @ SV139 @ SY1481 ) @ successor_relation @ SY996 ) )
| ~ ( ~ ! [SY997: mworld] :
( ~ ( mrel @ SY1482 @ SY997 )
| ( member @ SV139 @ universal_class @ SY997 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1482 @ SX5 )
| ( member @ SY1481 @ universal_class @ SX5 ) )
| ~ ! [SY999: mworld] :
( ~ ( mrel @ SY1482 @ SY999 )
| ( qmltpeq @ ( successor @ SV139 ) @ SY1481 @ SY999 ) ) ) ) )
| ~ ! [SY1487: mworld] :
( ~ ( mrel @ SV217 @ SY1487 )
| ~ ~ ( ~ ! [SY1001: mworld] :
( ~ ( mrel @ SY1487 @ SY1001 )
| ( member @ SV139 @ universal_class @ SY1001 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1487 @ SX5 )
| ( member @ SY1481 @ universal_class @ SX5 ) )
| ~ ! [SY1003: mworld] :
( ~ ( mrel @ SY1487 @ SY1003 )
| ( qmltpeq @ ( successor @ SV139 ) @ SY1481 @ SY1003 ) ) ) )
| ! [SY1004: mworld] :
( ~ ( mrel @ SY1487 @ SY1004 )
| ( member @ ( ordered_pair @ SV139 @ SY1481 ) @ successor_relation @ SY1004 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(748,plain,
! [SV140: $i,SV218: mworld,SV58: mworld] :
( ( ( ~ ( mrel @ SV58 @ SV218 ) )
= $true )
| ( ( ! [SY1492: $i,SY1493: mworld] :
( ~ ( mrel @ SV218 @ SY1493 )
| ! [SY1008: $i] :
~ ( ~ ! [SY1009: mworld] :
( ~ ( mrel @ SY1493 @ SY1009 )
| ~ ! [SY1010: mworld] :
( ~ ( mrel @ SY1009 @ SY1010 )
| ( member @ SV140 @ ( unordered_pair @ SY1492 @ SY1008 ) @ SY1010 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY1009 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1012: mworld] :
( ~ ( mrel @ SY1009 @ SY1012 )
| ( qmltpeq @ SV140 @ SY1492 @ SY1012 ) )
| ! [SY1013: mworld] :
( ~ ( mrel @ SY1009 @ SY1013 )
| ( qmltpeq @ SV140 @ SY1008 @ SY1013 ) ) ) ) )
| ~ ! [SY1014: mworld] :
( ~ ( mrel @ SY1493 @ SY1014 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY1014 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1016: mworld] :
( ~ ( mrel @ SY1014 @ SY1016 )
| ( qmltpeq @ SV140 @ SY1492 @ SY1016 ) )
| ! [SY1017: mworld] :
( ~ ( mrel @ SY1014 @ SY1017 )
| ( qmltpeq @ SV140 @ SY1008 @ SY1017 ) ) ) )
| ! [SY1018: mworld] :
( ~ ( mrel @ SY1014 @ SY1018 )
| ( member @ SV140 @ ( unordered_pair @ SY1492 @ SY1008 ) @ SY1018 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(749,plain,
! [SV141: $i,SV219: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV219 ) )
= $true )
| ( ( ! [SY1505: $i,SY1506: mworld] :
( ~ ( mrel @ SV219 @ SY1506 )
| ! [SY1022: $i,SY1023: mworld] :
( ~ ( mrel @ SY1506 @ SY1023 )
| ~ ! [SY1024: mworld] :
( ~ ( mrel @ SY1023 @ SY1024 )
| ( member @ SY1022 @ ( cross_product @ SV141 @ SY1505 ) @ SY1024 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1023 @ SX7 )
| ( qmltpeq @ SY1022 @ ( ordered_pair @ ( first @ SY1022 ) @ ( second @ SY1022 ) ) @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(750,plain,
! [SV142: $i,SV61: mworld] :
( ( ( ~ ! [SY1026: mworld] :
( ~ ( mrel @ SV61 @ SY1026 )
| ~ ! [SY1027: mworld] :
( ~ ( mrel @ SY1026 @ SY1027 )
| ( inductive @ SV142 @ SY1027 ) )
| ~ ( ~ ! [SY1028: mworld] :
( ~ ( mrel @ SY1026 @ SY1028 )
| ( member @ null_class @ SV142 @ SY1028 ) )
| ~ ! [SY1029: mworld] :
( ~ ( mrel @ SY1026 @ SY1029 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1029 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(751,plain,
! [SV142: $i,SV61: mworld] :
( ( ( ~ ! [SY1030: mworld] :
( ~ ( mrel @ SV61 @ SY1030 )
| ~ ~ ( ~ ! [SY1031: mworld] :
( ~ ( mrel @ SY1030 @ SY1031 )
| ( member @ null_class @ SV142 @ SY1031 ) )
| ~ ! [SY1032: mworld] :
( ~ ( mrel @ SY1030 @ SY1032 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1032 ) ) )
| ! [SY1033: mworld] :
( ~ ( mrel @ SY1030 @ SY1033 )
| ( inductive @ SV142 @ SY1033 ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(752,plain,
! [SV143: $i,SV220: mworld,SV62: mworld] :
( ( ( ~ ( mrel @ SV62 @ SV220 ) )
= $true )
| ( ( ! [SY1511: $i,SY1512: mworld] :
( ~ ( mrel @ SV220 @ SY1512 )
| ! [SY1037: $i,SY1038: mworld] :
( ~ ( mrel @ SY1512 @ SY1038 )
| ! [SY1039: $i] :
~ ( ~ ! [SY1040: mworld] :
( ~ ( mrel @ SY1038 @ SY1040 )
| ~ ! [SY1041: mworld] :
( ~ ( mrel @ SY1040 @ SY1041 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( rotate @ SV143 ) @ SY1041 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1040 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SY1043: mworld] :
( ~ ( mrel @ SY1040 @ SY1043 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1037 @ SY1039 ) @ SY1511 ) @ SV143 @ SY1043 ) ) ) )
| ~ ! [SY1044: mworld] :
( ~ ( mrel @ SY1038 @ SY1044 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1044 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SY1046: mworld] :
( ~ ( mrel @ SY1044 @ SY1046 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1037 @ SY1039 ) @ SY1511 ) @ SV143 @ SY1046 ) ) )
| ! [SY1047: mworld] :
( ~ ( mrel @ SY1044 @ SY1047 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( rotate @ SV143 ) @ SY1047 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(753,plain,
! [SV144: $i,SV221: mworld,SV63: mworld] :
( ( ( ~ ( mrel @ SV63 @ SV221 ) )
= $true )
| ( ( ! [SY1524: $i,SY1525: mworld] :
( ~ ( mrel @ SV221 @ SY1525 )
| ~ ! [SY1051: mworld] :
( ~ ( mrel @ SY1525 @ SY1051 )
| ( qmltpeq @ SV144 @ SY1524 @ SY1051 ) )
| ! [SY1052: mworld] :
( ~ ( mrel @ SY1525 @ SY1052 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SY1524 ) @ SY1052 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(754,plain,
! [SV145: $i,SV222: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ SV64 @ SV222 ) )
= $true )
| ( ( ~ ! [SY1528: mworld] :
( ~ ( mrel @ SV222 @ SY1528 )
| ~ ! [SY1055: mworld] :
( ~ ( mrel @ SY1528 @ SY1055 )
| ( qmltpeq @ SV145 @ null_class @ SY1055 ) ) )
| ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(755,plain,
! [SV146: $i,SV223: mworld,SV65: mworld] :
( ( ( ~ ( mrel @ SV65 @ SV223 ) )
= $true )
| ( ( ! [SY1534: $i] :
~ ( ~ ! [SY1535: mworld] :
( ~ ( mrel @ SV223 @ SY1535 )
| ~ ! [SY1063: mworld] :
( ~ ( mrel @ SY1535 @ SY1063 )
| ( member @ ( ordered_pair @ SV146 @ SY1534 ) @ element_relation @ SY1063 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1535 @ SX5 )
| ( member @ SY1534 @ universal_class @ SX5 ) )
| ~ ! [SY1065: mworld] :
( ~ ( mrel @ SY1535 @ SY1065 )
| ( member @ SV146 @ SY1534 @ SY1065 ) ) ) )
| ~ ! [SY1539: mworld] :
( ~ ( mrel @ SV223 @ SY1539 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1539 @ SX5 )
| ( member @ SY1534 @ universal_class @ SX5 ) )
| ~ ! [SY1068: mworld] :
( ~ ( mrel @ SY1539 @ SY1068 )
| ( member @ SV146 @ SY1534 @ SY1068 ) ) )
| ! [SY1069: mworld] :
( ~ ( mrel @ SY1539 @ SY1069 )
| ( member @ ( ordered_pair @ SV146 @ SY1534 ) @ element_relation @ SY1069 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(756,plain,
! [SV147: $i,SV224: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV224 ) )
= $true )
| ( ( ! [SY1543: $i,SY1544: mworld] :
( ~ ( mrel @ SV224 @ SY1544 )
| ! [SY1073: $i,SY1074: mworld] :
( ~ ( mrel @ SY1544 @ SY1074 )
| ~ ! [SY1075: mworld] :
( ~ ( mrel @ SY1074 @ SY1075 )
| ( qmltpeq @ SV147 @ SY1543 @ SY1075 ) )
| ! [SY1076: mworld] :
( ~ ( mrel @ SY1074 @ SY1076 )
| ( qmltpeq @ ( unordered_pair @ SY1073 @ SV147 ) @ ( unordered_pair @ SY1073 @ SY1543 ) @ SY1076 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(757,plain,
! [SV148: $i,SV225: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ SV67 @ SV225 ) )
= $true )
| ( ( subclass @ SV148 @ universal_class @ SV225 )
= $true )
| ( ( mrel @ mactual @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(758,plain,
! [SV149: $i,SV226: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV226 ) )
= $true )
| ( ( ! [SY1549: $i,SY1550: mworld] :
( ~ ( mrel @ SV226 @ SY1550 )
| ! [SY1081: $i,SY1082: mworld] :
( ~ ( mrel @ SY1550 @ SY1082 )
| ~ ! [SY1083: mworld] :
( ~ ( mrel @ SY1082 @ SY1083 )
| ( qmltpeq @ SV149 @ SY1549 @ SY1083 ) )
| ! [SY1084: mworld] :
( ~ ( mrel @ SY1082 @ SY1084 )
| ( qmltpeq @ ( image @ SV149 @ SY1081 ) @ ( image @ SY1549 @ SY1081 ) @ SY1084 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(759,plain,
! [SV150: $i,SV227: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV227 ) )
= $true )
| ( ( ! [SY1555: $i,SY1556: mworld] :
( ~ ( mrel @ SV227 @ SY1556 )
| ! [SY1088: $i,SY1089: mworld] :
( ~ ( mrel @ SY1556 @ SY1089 )
| ~ ! [SY1090: mworld] :
( ~ ( mrel @ SY1089 @ SY1090 )
| ( qmltpeq @ SV150 @ SY1555 @ SY1090 ) )
| ! [SY1091: mworld] :
( ~ ( mrel @ SY1089 @ SY1091 )
| ( qmltpeq @ ( cross_product @ SV150 @ SY1088 ) @ ( cross_product @ SY1555 @ SY1088 ) @ SY1091 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(760,plain,
! [SV151: $i,SV228: mworld,SV70: mworld] :
( ( ( ~ ( mrel @ SV70 @ SV228 ) )
= $true )
| ( ( ! [SY1561: $i,SY1562: mworld] :
( ~ ( mrel @ SV228 @ SY1562 )
| ! [SY1095: $i,SY1096: mworld] :
( ~ ( mrel @ SY1562 @ SY1096 )
| ~ ! [SY1097: mworld] :
( ~ ( mrel @ SY1096 @ SY1097 )
| ( qmltpeq @ SV151 @ SY1561 @ SY1097 ) )
| ! [SY1098: mworld] :
( ~ ( mrel @ SY1096 @ SY1098 )
| ( qmltpeq @ ( union @ SV151 @ SY1095 ) @ ( union @ SY1561 @ SY1095 ) @ SY1098 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(761,plain,
! [SV152: $i,SV229: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ SV229 ) )
= $true )
| ( ( ! [SY1567: $i,SY1568: mworld] :
( ~ ( mrel @ SV229 @ SY1568 )
| ! [SY1102: $i,SY1103: mworld] :
( ~ ( mrel @ SY1568 @ SY1103 )
| ~ ~ ( ~ ! [SY1104: mworld] :
( ~ ( mrel @ SY1103 @ SY1104 )
| ( qmltpeq @ SV152 @ SY1567 @ SY1104 ) )
| ~ ! [SY1105: mworld] :
( ~ ( mrel @ SY1103 @ SY1105 )
| ( member @ SY1102 @ SV152 @ SY1105 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1103 @ SX7 )
| ( member @ SY1102 @ SY1567 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(762,plain,
! [SV153: $i,SV230: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ SV72 @ SV230 ) )
= $true )
| ( ( qmltpeq @ ( range_of @ SV153 ) @ ( domain_of @ ( inverse @ SV153 ) ) @ SV230 )
= $true )
| ( ( mrel @ mactual @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(763,plain,
! [SV154: $i,SV231: mworld,SV73: mworld] :
( ( ( ~ ( mrel @ SV73 @ SV231 ) )
= $true )
| ( ( ! [SY1574: $i,SY1575: mworld] :
( ~ ( mrel @ SV231 @ SY1575 )
| ( qmltpeq @ ( ordered_pair @ SV154 @ SY1574 ) @ ( unordered_pair @ ( singleton @ SV154 ) @ ( unordered_pair @ SV154 @ ( singleton @ SY1574 ) ) ) @ SY1575 ) ) )
= $true )
| ( ( mrel @ mactual @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(764,plain,
! [SV155: $i,SV232: mworld,SV74: mworld] :
( ( ( ~ ( mrel @ SV74 @ SV232 ) )
= $true )
| ( ( ! [SY1576: $i,SY1577: mworld] :
( ~ ( mrel @ SV232 @ SY1577 )
| ! [SY1114: $i,SY1115: mworld] :
( ~ ( mrel @ SY1577 @ SY1115 )
| ~ ! [SY1116: mworld] :
( ~ ( mrel @ SY1115 @ SY1116 )
| ( qmltpeq @ SV155 @ SY1576 @ SY1116 ) )
| ! [SY1117: mworld] :
( ~ ( mrel @ SY1115 @ SY1117 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SY1114 ) @ ( unordered_pair @ SY1576 @ SY1114 ) @ SY1117 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(765,plain,
! [SV156: $i,SV233: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV233 ) )
= $true )
| ( ( ! [SY1582: $i,SY1583: mworld] :
( ~ ( mrel @ SV233 @ SY1583 )
| ( qmltpeq @ ( image @ SY1582 @ SV156 ) @ ( range_of @ ( restrict @ SY1582 @ SV156 @ universal_class ) ) @ SY1583 ) ) )
= $true )
| ( ( mrel @ mactual @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(766,plain,
! [SV157: $i,SV234: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV234 ) )
= $true )
| ( ( ! [SY1584: $i,SY1585: mworld] :
( ~ ( mrel @ SV234 @ SY1585 )
| ! [SY1124: $i,SY1125: mworld] :
( ~ ( mrel @ SY1585 @ SY1125 )
| ! [SY1126: $i] :
~ ( ~ ! [SY1127: mworld] :
( ~ ( mrel @ SY1125 @ SY1127 )
| ~ ! [SY1128: mworld] :
( ~ ( mrel @ SY1127 @ SY1128 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( flip @ SY1126 ) @ SY1128 ) )
| ~ ( ~ ! [SY1129: mworld] :
( ~ ( mrel @ SY1127 @ SY1129 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1129 ) )
| ~ ! [SY1130: mworld] :
( ~ ( mrel @ SY1127 @ SY1130 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1584 @ SV157 ) @ SY1124 ) @ SY1126 @ SY1130 ) ) ) )
| ~ ! [SY1131: mworld] :
( ~ ( mrel @ SY1125 @ SY1131 )
| ~ ~ ( ~ ! [SY1132: mworld] :
( ~ ( mrel @ SY1131 @ SY1132 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1132 ) )
| ~ ! [SY1133: mworld] :
( ~ ( mrel @ SY1131 @ SY1133 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1584 @ SV157 ) @ SY1124 ) @ SY1126 @ SY1133 ) ) )
| ! [SY1134: mworld] :
( ~ ( mrel @ SY1131 @ SY1134 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( flip @ SY1126 ) @ SY1134 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(767,plain,
! [SV158: $i,SV235: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV235 ) )
= $true )
| ( ( ! [SY1597: $i,SY1598: mworld] :
( ~ ( mrel @ SV235 @ SY1598 )
| ! [SY1138: $i,SY1139: mworld] :
( ~ ( mrel @ SY1598 @ SY1139 )
| ! [SY1140: $i] :
~ ( ~ ! [SY1141: mworld] :
( ~ ( mrel @ SY1139 @ SY1141 )
| ~ ! [SY1142: mworld] :
( ~ ( mrel @ SY1141 @ SY1142 )
| ( member @ ( ordered_pair @ SY1138 @ SY1140 ) @ ( compose @ SY1597 @ SV158 ) @ SY1142 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1141 @ SX9 )
| ( member @ SY1138 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1141 @ SX9 )
| ( member @ SY1140 @ ( image @ SY1597 @ ( image @ SY1597 @ ( singleton @ SY1138 ) ) ) @ SX9 ) ) ) )
| ~ ! [SY1145: mworld] :
( ~ ( mrel @ SY1139 @ SY1145 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1145 @ SX9 )
| ( member @ SY1138 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1145 @ SX9 )
| ( member @ SY1140 @ ( image @ SY1597 @ ( image @ SY1597 @ ( singleton @ SY1138 ) ) ) @ SX9 ) ) )
| ! [SY1148: mworld] :
( ~ ( mrel @ SY1145 @ SY1148 )
| ( member @ ( ordered_pair @ SY1138 @ SY1140 ) @ ( compose @ SY1597 @ SV158 ) @ SY1148 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(768,plain,
! [SV159: $i,SV236: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV236 ) )
= $true )
| ( ( ! [SY1610: $i,SY1611: mworld] :
( ~ ( mrel @ SV236 @ SY1611 )
| ! [SY1152: $i,SY1153: mworld] :
( ~ ( mrel @ SY1611 @ SY1153 )
| ! [SY1154: $i] :
~ ( ~ ! [SY1155: mworld] :
( ~ ( mrel @ SY1153 @ SY1155 )
| ~ ! [SY1156: mworld] :
( ~ ( mrel @ SY1155 @ SY1156 )
| ( member @ ( ordered_pair @ SV159 @ SY1610 ) @ ( cross_product @ SY1152 @ SY1154 ) @ SY1156 ) )
| ~ ( ~ ! [SY1157: mworld] :
( ~ ( mrel @ SY1155 @ SY1157 )
| ( member @ SV159 @ SY1152 @ SY1157 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1155 @ SX9 )
| ( member @ SY1610 @ SY1154 @ SX9 ) ) ) )
| ~ ! [SY1159: mworld] :
( ~ ( mrel @ SY1153 @ SY1159 )
| ~ ~ ( ~ ! [SY1160: mworld] :
( ~ ( mrel @ SY1159 @ SY1160 )
| ( member @ SV159 @ SY1152 @ SY1160 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1159 @ SX9 )
| ( member @ SY1610 @ SY1154 @ SX9 ) ) )
| ! [SY1162: mworld] :
( ~ ( mrel @ SY1159 @ SY1162 )
| ( member @ ( ordered_pair @ SV159 @ SY1610 ) @ ( cross_product @ SY1152 @ SY1154 ) @ SY1162 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(769,plain,
! [SV160: $i,SV237: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV237 ) )
= $true )
| ( ( ! [SY1623: $i,SY1624: mworld] :
( ~ ( mrel @ SV237 @ SY1624 )
| ~ ! [SY1166: mworld] :
( ~ ( mrel @ SY1624 @ SY1166 )
| ( qmltpeq @ SV160 @ SY1623 @ SY1166 ) )
| ! [SY1167: mworld] :
( ~ ( mrel @ SY1624 @ SY1167 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SY1623 ) @ SY1167 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(770,plain,
! [SV161: $i,SV238: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV238 ) )
= $true )
| ( ( ! [SY1627: $i,SY1628: mworld] :
( ~ ( mrel @ SV238 @ SY1628 )
| ! [SY1171: $i] :
~ ( ~ ! [SY1172: mworld] :
( ~ ( mrel @ SY1628 @ SY1172 )
| ~ ! [SY1173: mworld] :
( ~ ( mrel @ SY1172 @ SY1173 )
| ( member @ SY1171 @ ( intersection @ SV161 @ SY1627 ) @ SY1173 ) )
| ~ ( ~ ! [SY1174: mworld] :
( ~ ( mrel @ SY1172 @ SY1174 )
| ( member @ SY1171 @ SV161 @ SY1174 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1172 @ SX7 )
| ( member @ SY1171 @ SY1627 @ SX7 ) ) ) )
| ~ ! [SY1176: mworld] :
( ~ ( mrel @ SY1628 @ SY1176 )
| ~ ~ ( ~ ! [SY1177: mworld] :
( ~ ( mrel @ SY1176 @ SY1177 )
| ( member @ SY1171 @ SV161 @ SY1177 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1176 @ SX7 )
| ( member @ SY1171 @ SY1627 @ SX7 ) ) )
| ! [SY1179: mworld] :
( ~ ( mrel @ SY1176 @ SY1179 )
| ( member @ SY1171 @ ( intersection @ SV161 @ SY1627 ) @ SY1179 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(771,plain,
! [SV162: $i,SV239: mworld,SV81: mworld] :
( ( ( ~ ( mrel @ SV81 @ SV239 ) )
= $true )
| ( ( ! [SY1638: $i,SY1639: mworld] :
( ~ ( mrel @ SV239 @ SY1639 )
| ~ ! [SY1183: mworld] :
( ~ ( mrel @ SY1639 @ SY1183 )
| ( qmltpeq @ SV162 @ SY1638 @ SY1183 ) )
| ! [SY1184: mworld] :
( ~ ( mrel @ SY1639 @ SY1184 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SY1638 ) @ SY1184 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(772,plain,
! [SV163: $i,SV240: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV240 ) )
= $true )
| ( ( ! [SY1642: $i,SY1643: mworld] :
( ~ ( mrel @ SV240 @ SY1643 )
| ~ ! [SY1188: mworld] :
( ~ ( mrel @ SY1643 @ SY1188 )
| ( qmltpeq @ SV163 @ SY1642 @ SY1188 ) )
| ! [SY1189: mworld] :
( ~ ( mrel @ SY1643 @ SY1189 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SY1642 ) @ SY1189 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(773,plain,
! [SV164: $i,SV241: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV241 ) )
= $true )
| ( ( ! [SY1646: $i,SY1647: mworld] :
( ~ ( mrel @ SV241 @ SY1647 )
| ~ ! [SY1193: mworld] :
( ~ ( mrel @ SY1647 @ SY1193 )
| ( qmltpeq @ SV164 @ SY1646 @ SY1193 ) )
| ! [SY1194: mworld] :
( ~ ( mrel @ SY1647 @ SY1194 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SY1646 ) @ SY1194 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(774,plain,
! [SV2: mworld,SV85: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ SV85 )
= $false )
| ( ( mrel @ SV2 @ SV84 )
= $false )
| ( ( mrel @ SV2 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(775,plain,
! [SV86: $i,SV165: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( ! [SY1195: $i,SY1196: mworld] :
( ~ ( mrel @ SV165 @ SY1196 )
| ! [SY649: $i,SY650: mworld] :
( ~ ( mrel @ SY1196 @ SY650 )
| ! [SY651: $i,SY652: mworld] :
( ~ ( mrel @ SY650 @ SY652 )
| ~ ! [SY653: mworld] :
( ~ ( mrel @ SY652 @ SY653 )
| ( qmltpeq @ SV86 @ SY1195 @ SY653 ) )
| ! [SY654: mworld] :
( ~ ( mrel @ SY652 @ SY654 )
| ( qmltpeq @ ( restrict @ SY649 @ SV86 @ SY651 ) @ ( restrict @ SY649 @ SY1195 @ SY651 ) @ SY654 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(776,plain,
! [SV87: $i,SV166: mworld,SV4: mworld] :
( ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( ! [SY1203: $i] :
~ ( ~ ! [SY1204: mworld] :
( ~ ( mrel @ SV166 @ SY1204 )
| ~ ! [SY658: mworld] :
( ~ ( mrel @ SY1204 @ SY658 )
| ( member @ SY1203 @ ( domain_of @ SV87 ) @ SY658 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1204 @ SX5 )
| ( member @ SY1203 @ universal_class @ SX5 ) )
| ~ ! [SY660: mworld] :
( ~ ( mrel @ SY1204 @ SY660 )
| ~ ! [SY661: mworld] :
( ~ ( mrel @ SY660 @ SY661 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SY1203 ) @ universal_class ) @ null_class @ SY661 ) ) ) ) )
| ~ ! [SY1209: mworld] :
( ~ ( mrel @ SV166 @ SY1209 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1209 @ SX5 )
| ( member @ SY1203 @ universal_class @ SX5 ) )
| ~ ! [SY664: mworld] :
( ~ ( mrel @ SY1209 @ SY664 )
| ~ ! [SY665: mworld] :
( ~ ( mrel @ SY664 @ SY665 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SY1203 ) @ universal_class ) @ null_class @ SY665 ) ) ) )
| ! [SY666: mworld] :
( ~ ( mrel @ SY1209 @ SY666 )
| ( member @ SY1203 @ ( domain_of @ SV87 ) @ SY666 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(777,plain,
! [SV88: $i,SV167: mworld,SV5: mworld] :
( ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( ! [SY1214: $i,SY1215: mworld] :
( ~ ( mrel @ SV167 @ SY1215 )
| ! [SY670: $i,SY671: mworld] :
( ~ ( mrel @ SY1215 @ SY671 )
| ~ ! [SY672: mworld] :
( ~ ( mrel @ SY671 @ SY672 )
| ( qmltpeq @ SV88 @ SY1214 @ SY672 ) )
| ! [SY673: mworld] :
( ~ ( mrel @ SY671 @ SY673 )
| ( qmltpeq @ ( apply @ SV88 @ SY670 ) @ ( apply @ SY1214 @ SY670 ) @ SY673 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(778,plain,
! [SV89: $i,SV168: mworld,SV6: mworld] :
( ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( ! [SY1220: $i,SY1221: mworld] :
( ~ ( mrel @ SV168 @ SY1221 )
| ! [SY677: $i,SY678: mworld] :
( ~ ( mrel @ SY1221 @ SY678 )
| ! [SY679: $i,SY680: mworld] :
( ~ ( mrel @ SY678 @ SY680 )
| ~ ! [SY681: mworld] :
( ~ ( mrel @ SY680 @ SY681 )
| ( qmltpeq @ SV89 @ SY1220 @ SY681 ) )
| ! [SY682: mworld] :
( ~ ( mrel @ SY680 @ SY682 )
| ( qmltpeq @ ( restrict @ SV89 @ SY677 @ SY679 ) @ ( restrict @ SY1220 @ SY677 @ SY679 ) @ SY682 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(779,plain,
! [SV90: $i,SV169: mworld,SV7: mworld] :
( ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( ! [SY1228: $i,SY1229: mworld] :
( ~ ( mrel @ SV169 @ SY1229 )
| ! [SY686: $i,SY687: mworld] :
( ~ ( mrel @ SY1229 @ SY687 )
| ~ ! [SY688: mworld] :
( ~ ( mrel @ SY687 @ SY688 )
| ( qmltpeq @ SV90 @ SY1228 @ SY688 ) )
| ! [SY689: mworld] :
( ~ ( mrel @ SY687 @ SY689 )
| ( qmltpeq @ ( compose @ SY686 @ SV90 ) @ ( compose @ SY686 @ SY1228 ) @ SY689 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(780,plain,
! [SV91: $i,SV170: mworld,SV8: mworld] :
( ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( ! [SY1234: $i] :
~ ( ~ ! [SY1235: mworld] :
( ~ ( mrel @ SV170 @ SY1235 )
| ~ ! [SY693: mworld] :
( ~ ( mrel @ SY1235 @ SY693 )
| ( member @ SV91 @ ( sum_class @ SY1234 ) @ SY693 ) )
| ~ ! [SY694: $i] :
~ ~ ( ~ ! [SY695: mworld] :
( ~ ( mrel @ SY1235 @ SY695 )
| ( member @ SV91 @ SY694 @ SY695 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY1235 @ SX6 )
| ( member @ SY694 @ SY1234 @ SX6 ) ) ) )
| ~ ! [SY1240: mworld] :
( ~ ( mrel @ SV170 @ SY1240 )
| ~ ~ ! [SY698: $i] :
~ ~ ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SY1240 @ SY699 )
| ( member @ SV91 @ SY698 @ SY699 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY1240 @ SX6 )
| ( member @ SY698 @ SY1234 @ SX6 ) ) )
| ! [SY701: mworld] :
( ~ ( mrel @ SY1240 @ SY701 )
| ( member @ SV91 @ ( sum_class @ SY1234 ) @ SY701 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(781,plain,
! [SV92: $i,SV171: mworld,SV9: mworld] :
( ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( ! [SY1245: $i,SY1246: mworld] :
( ~ ( mrel @ SV171 @ SY1246 )
| ~ ! [SY705: mworld] :
( ~ ( mrel @ SY1246 @ SY705 )
| ( qmltpeq @ SV92 @ SY1245 @ SY705 ) )
| ! [SY706: mworld] :
( ~ ( mrel @ SY1246 @ SY706 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SY1245 ) @ SY706 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(782,plain,
! [SV93: $i,SV172: mworld,SV10: mworld] :
( ( ( mrel @ SV10 @ SV172 )
= $false )
| ( ( ! [SY1249: $i,SY1250: mworld] :
( ~ ( mrel @ SV172 @ SY1250 )
| ( qmltpeq @ ( apply @ SV93 @ SY1249 ) @ ( sum_class @ ( image @ SV93 @ ( singleton @ SY1249 ) ) ) @ SY1250 ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(783,plain,
! [SV94: $i,SV173: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV173 )
= $false )
| ( ( ! [SY1251: $i,SY1252: mworld] :
( ~ ( mrel @ SV173 @ SY1252 )
| ! [SY713: $i,SY714: mworld] :
( ~ ( mrel @ SY1252 @ SY714 )
| ( qmltpeq @ ( restrict @ SY1251 @ SV94 @ SY713 ) @ ( intersection @ SY1251 @ ( cross_product @ SV94 @ SY713 ) ) @ SY714 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(784,plain,
! [SV95: $i,SV174: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV174 )
= $false )
| ( ( qmltpeq @ ( singleton @ SV95 ) @ ( unordered_pair @ SV95 @ SV95 ) @ SV174 )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(785,plain,
! [SV96: $i,SV175: mworld,SV13: mworld] :
( ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( ! [SY1255: $i,SY1256: mworld] :
( ~ ( mrel @ SV175 @ SY1256 )
| ! [SY719: $i,SY720: mworld] :
( ~ ( mrel @ SY1256 @ SY720 )
| ~ ! [SY721: mworld] :
( ~ ( mrel @ SY720 @ SY721 )
| ( qmltpeq @ SV96 @ SY1255 @ SY721 ) )
| ! [SY722: mworld] :
( ~ ( mrel @ SY720 @ SY722 )
| ( qmltpeq @ ( union @ SY719 @ SV96 ) @ ( union @ SY719 @ SY1255 ) @ SY722 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(786,plain,
! [SV97: $i,SV176: mworld,SV14: mworld] :
( ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( ! [SY1261: $i,SY1262: mworld] :
( ~ ( mrel @ SV176 @ SY1262 )
| ~ ! [SY726: mworld] :
( ~ ( mrel @ SY1262 @ SY726 )
| ( qmltpeq @ SV97 @ SY1261 @ SY726 ) )
| ! [SY727: mworld] :
( ~ ( mrel @ SY1262 @ SY727 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SY1261 ) @ SY727 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(787,plain,
! [SV98: $i,SV177: mworld,SV15: mworld] :
( ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( ! [SY1265: $i,SY1266: mworld] :
( ~ ( mrel @ SV177 @ SY1266 )
| ~ ~ ( ~ ! [SY731: mworld] :
( ~ ( mrel @ SY1266 @ SY731 )
| ( member @ SV98 @ universal_class @ SY731 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1266 @ SX5 )
| ( function @ SY1265 @ SX5 ) ) )
| ! [SY733: mworld] :
( ~ ( mrel @ SY1266 @ SY733 )
| ( member @ ( image @ SY1265 @ SV98 ) @ universal_class @ SY733 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(788,plain,
! [SV99: $i,SV178: mworld,SV16: mworld] :
( ( ( mrel @ SV16 @ SV178 )
= $false )
| ( ( ! [SY1270: $i,SY1271: mworld] :
( ~ ( mrel @ SV178 @ SY1271 )
| ( member @ ( unordered_pair @ SV99 @ SY1270 ) @ universal_class @ SY1271 ) ) )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(789,plain,
! [SV100: $i,SV179: mworld,SV17: mworld] :
( ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( ! [SY1272: $i,SY1273: mworld] :
( ~ ( mrel @ SV179 @ SY1273 )
| ~ ! [SY740: mworld] :
( ~ ( mrel @ SY1273 @ SY740 )
| ( qmltpeq @ SV100 @ SY1272 @ SY740 ) )
| ! [SY741: mworld] :
( ~ ( mrel @ SY1273 @ SY741 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SY1272 ) @ SY741 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(790,plain,
! [SV101: $i,SV180: mworld,SV18: mworld] :
( ( ( mrel @ SV18 @ SV180 )
= $false )
| ( ( qmltpeq @ ( inverse @ SV101 ) @ ( domain_of @ ( flip @ ( cross_product @ SV101 @ universal_class ) ) ) @ SV180 )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(791,plain,
! [SV102: $i,SV181: mworld,SV19: mworld] :
( ( ( mrel @ SV19 @ SV181 )
= $false )
| ( ( subclass @ ( rotate @ SV102 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV181 )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(792,plain,
! [SV103: $i,SV182: mworld,SV20: mworld] :
( ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( ! [SY1276: $i,SY1277: mworld] :
( ~ ( mrel @ SV182 @ SY1277 )
| ! [SY747: $i] :
~ ( ~ ! [SY748: mworld] :
( ~ ( mrel @ SY1277 @ SY748 )
| ~ ! [SY749: mworld] :
( ~ ( mrel @ SY748 @ SY749 )
| ( member @ SY747 @ ( union @ SV103 @ SY1276 ) @ SY749 ) )
| ! [SY750: mworld] :
( ~ ( mrel @ SY748 @ SY750 )
| ( member @ SY747 @ SV103 @ SY750 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY748 @ SX7 )
| ( member @ SY747 @ SY1276 @ SX7 ) ) )
| ~ ! [SY752: mworld] :
( ~ ( mrel @ SY1277 @ SY752 )
| ~ ( ! [SY753: mworld] :
( ~ ( mrel @ SY752 @ SY753 )
| ( member @ SY747 @ SV103 @ SY753 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY752 @ SX7 )
| ( member @ SY747 @ SY1276 @ SX7 ) ) )
| ! [SY755: mworld] :
( ~ ( mrel @ SY752 @ SY755 )
| ( member @ SY747 @ ( union @ SV103 @ SY1276 ) @ SY755 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(793,plain,
! [SV104: $i,SV183: mworld,SV21: mworld] :
( ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( ! [SY1287: $i,SY1288: mworld] :
( ~ ( mrel @ SV183 @ SY1288 )
| ! [SY759: $i,SY760: mworld] :
( ~ ( mrel @ SY1288 @ SY760 )
| ! [SY761: $i,SY762: mworld] :
( ~ ( mrel @ SY760 @ SY762 )
| ~ ! [SY763: mworld] :
( ~ ( mrel @ SY762 @ SY763 )
| ( qmltpeq @ SV104 @ SY1287 @ SY763 ) )
| ! [SY764: mworld] :
( ~ ( mrel @ SY762 @ SY764 )
| ( qmltpeq @ ( restrict @ SY759 @ SY761 @ SV104 ) @ ( restrict @ SY759 @ SY761 @ SY1287 ) @ SY764 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(794,plain,
! [SV105: $i,SV184: mworld,SV22: mworld] :
( ( ( mrel @ SV22 @ SV184 )
= $false )
| ( ( qmltpeq @ ( successor @ SV105 ) @ ( union @ SV105 @ ( singleton @ SV105 ) ) @ SV184 )
= $true )
| ( ( mrel @ mactual @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(795,plain,
! [SV106: $i,SV185: mworld,SV23: mworld] :
( ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( ! [SY1295: $i] :
~ ( ~ ! [SY1296: mworld] :
( ~ ( mrel @ SV185 @ SY1296 )
| ~ ! [SY769: mworld] :
( ~ ( mrel @ SY1296 @ SY769 )
| ( member @ SV106 @ ( power_class @ SY1295 ) @ SY769 ) )
| ~ ( ~ ! [SY770: mworld] :
( ~ ( mrel @ SY1296 @ SY770 )
| ( member @ SV106 @ universal_class @ SY770 ) )
| ~ ! [SY771: mworld] :
( ~ ( mrel @ SY1296 @ SY771 )
| ( subclass @ SV106 @ SY1295 @ SY771 ) ) ) )
| ~ ! [SY1300: mworld] :
( ~ ( mrel @ SV185 @ SY1300 )
| ~ ~ ( ~ ! [SY773: mworld] :
( ~ ( mrel @ SY1300 @ SY773 )
| ( member @ SV106 @ universal_class @ SY773 ) )
| ~ ! [SY774: mworld] :
( ~ ( mrel @ SY1300 @ SY774 )
| ( subclass @ SV106 @ SY1295 @ SY774 ) ) )
| ! [SY775: mworld] :
( ~ ( mrel @ SY1300 @ SY775 )
| ( member @ SV106 @ ( power_class @ SY1295 ) @ SY775 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(796,plain,
! [SV107: $i,SV186: mworld,SV24: mworld] :
( ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( ! [SY1304: $i,SY1305: mworld] :
( ~ ( mrel @ SV186 @ SY1305 )
| ! [SY779: $i,SY780: mworld] :
( ~ ( mrel @ SY1305 @ SY780 )
| ~ ! [SY781: mworld] :
( ~ ( mrel @ SY780 @ SY781 )
| ( qmltpeq @ SV107 @ SY1304 @ SY781 ) )
| ! [SY782: mworld] :
( ~ ( mrel @ SY780 @ SY782 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SY779 ) @ ( ordered_pair @ SY1304 @ SY779 ) @ SY782 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(797,plain,
! [SV108: $i,SV187: mworld,SV25: mworld] :
( ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( ! [SY1310: $i,SY1311: mworld] :
( ~ ( mrel @ SV187 @ SY1311 )
| ! [SY786: $i,SY787: mworld] :
( ~ ( mrel @ SY1311 @ SY787 )
| ~ ~ ( ~ ! [SY788: mworld] :
( ~ ( mrel @ SY787 @ SY788 )
| ( qmltpeq @ SV108 @ SY1310 @ SY788 ) )
| ~ ! [SY789: mworld] :
( ~ ( mrel @ SY787 @ SY789 )
| ( subclass @ SV108 @ SY786 @ SY789 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY787 @ SX7 )
| ( subclass @ SY1310 @ SY786 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(798,plain,
! [SV109: $i,SV188: mworld,SV26: mworld] :
( ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( ! [SY1317: $i] :
~ ( ~ ! [SY1318: mworld] :
( ~ ( mrel @ SV188 @ SY1318 )
| ~ ! [SY794: mworld] :
( ~ ( mrel @ SY1318 @ SY794 )
| ( member @ SY1317 @ ( complement @ SV109 ) @ SY794 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1318 @ SX5 )
| ( member @ SY1317 @ universal_class @ SX5 ) )
| ~ ! [SY796: mworld] :
( ~ ( mrel @ SY1318 @ SY796 )
| ~ ! [SY797: mworld] :
( ~ ( mrel @ SY796 @ SY797 )
| ( member @ SY1317 @ SV109 @ SY797 ) ) ) ) )
| ~ ! [SY1323: mworld] :
( ~ ( mrel @ SV188 @ SY1323 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1323 @ SX5 )
| ( member @ SY1317 @ universal_class @ SX5 ) )
| ~ ! [SY800: mworld] :
( ~ ( mrel @ SY1323 @ SY800 )
| ~ ! [SY801: mworld] :
( ~ ( mrel @ SY800 @ SY801 )
| ( member @ SY1317 @ SV109 @ SY801 ) ) ) )
| ! [SY802: mworld] :
( ~ ( mrel @ SY1323 @ SY802 )
| ( member @ SY1317 @ ( complement @ SV109 ) @ SY802 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(799,plain,
! [SV110: $i,SV189: mworld,SV27: mworld] :
( ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( ! [SY1328: $i,SY1329: mworld] :
( ~ ( mrel @ SV189 @ SY1329 )
| ! [SY806: $i,SY807: mworld] :
( ~ ( mrel @ SY1329 @ SY807 )
| ~ ! [SY808: mworld] :
( ~ ( mrel @ SY807 @ SY808 )
| ( qmltpeq @ SV110 @ SY1328 @ SY808 ) )
| ! [SY809: mworld] :
( ~ ( mrel @ SY807 @ SY809 )
| ( qmltpeq @ ( intersection @ SV110 @ SY806 ) @ ( intersection @ SY1328 @ SY806 ) @ SY809 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(800,plain,
! [SV111: $i,SV190: mworld,SV28: mworld] :
( ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( ! [SY1334: $i,SY1335: mworld] :
( ~ ( mrel @ SV190 @ SY1335 )
| ! [SY813: $i,SY814: mworld] :
( ~ ( mrel @ SY1335 @ SY814 )
| ~ ! [SY815: mworld] :
( ~ ( mrel @ SY814 @ SY815 )
| ( qmltpeq @ SV111 @ SY1334 @ SY815 ) )
| ! [SY816: mworld] :
( ~ ( mrel @ SY814 @ SY816 )
| ( qmltpeq @ ( compose @ SV111 @ SY813 ) @ ( compose @ SY1334 @ SY813 ) @ SY816 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(801,plain,
! [SV112: $i,SV191: mworld,SV30: mworld] :
( ( ( mrel @ SV30 @ SV191 )
= $false )
| ( ( ! [SY1340: $i,SY1341: mworld] :
( ~ ( mrel @ SV191 @ SY1341 )
| ( subclass @ ( compose @ SY1340 @ SV112 ) @ ( cross_product @ universal_class @ universal_class ) @ SY1341 ) ) )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(802,plain,
! [SV113: $i,SV192: mworld,SV31: mworld] :
( ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( ! [SY1342: $i,SY1343: mworld] :
( ~ ( mrel @ SV192 @ SY1343 )
| ~ ! [SY823: mworld] :
( ~ ( mrel @ SY1343 @ SY823 )
| ( qmltpeq @ SV113 @ SY1342 @ SY823 ) )
| ! [SY824: mworld] :
( ~ ( mrel @ SY1343 @ SY824 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SY1342 ) @ SY824 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(803,plain,
! [SV114: $i,SV193: mworld,SV32: mworld] :
( ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( ! [SY1346: $i,SY1347: mworld] :
( ~ ( mrel @ SV193 @ SY1347 )
| ! [SY828: $i,SY829: mworld] :
( ~ ( mrel @ SY1347 @ SY829 )
| ~ ~ ( ~ ! [SY830: mworld] :
( ~ ( mrel @ SY829 @ SY830 )
| ( qmltpeq @ SV114 @ SY1346 @ SY830 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY829 @ SX7 )
| ( qmltpeq @ SY1346 @ SY828 @ SX7 ) ) )
| ! [SY832: mworld] :
( ~ ( mrel @ SY829 @ SY832 )
| ( qmltpeq @ SV114 @ SY828 @ SY832 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(804,plain,
! [SV115: $i,SV194: mworld,SV33: mworld] :
( ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( ! [SY1353: $i] :
~ ( ~ ! [SY1354: mworld] :
( ~ ( mrel @ SV194 @ SY1354 )
| ~ ! [SY836: mworld] :
( ~ ( mrel @ SY1354 @ SY836 )
| ( subclass @ SV115 @ SY1353 @ SY836 ) )
| ! [SY837: mworld] :
( ~ ( mrel @ SY1354 @ SY837 )
| ! [SY838: $i,SY839: mworld] :
( ~ ( mrel @ SY837 @ SY839 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY839 @ SY840 )
| ( member @ SY838 @ SV115 @ SY840 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY839 @ SX8 )
| ( member @ SY838 @ SY1353 @ SX8 ) ) ) ) )
| ~ ! [SY1361: mworld] :
( ~ ( mrel @ SV194 @ SY1361 )
| ~ ! [SY843: mworld] :
( ~ ( mrel @ SY1361 @ SY843 )
| ! [SY844: $i,SY845: mworld] :
( ~ ( mrel @ SY843 @ SY845 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY845 @ SY846 )
| ( member @ SY844 @ SV115 @ SY846 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY845 @ SX8 )
| ( member @ SY844 @ SY1353 @ SX8 ) ) ) )
| ! [SY848: mworld] :
( ~ ( mrel @ SY1361 @ SY848 )
| ( subclass @ SV115 @ SY1353 @ SY848 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(805,plain,
! [SV116: $i,SV195: mworld,SV34: mworld] :
( ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( ! [SY1368: $i,SY1369: mworld] :
( ~ ( mrel @ SV195 @ SY1369 )
| ~ ~ ( ~ ! [SY852: mworld] :
( ~ ( mrel @ SY1369 @ SY852 )
| ( qmltpeq @ SV116 @ SY1368 @ SY852 ) )
| ~ ! [SY853: mworld] :
( ~ ( mrel @ SY1369 @ SY853 )
| ( function @ SV116 @ SY853 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1369 @ SX5 )
| ( function @ SY1368 @ SX5 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(806,plain,
! [SV117: $i,SV196: mworld,SV35: mworld] :
( ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( ! [SY1373: $i,SY1374: mworld] :
( ~ ( mrel @ SV196 @ SY1374 )
| ~ ! [SY858: mworld] :
( ~ ( mrel @ SY1374 @ SY858 )
| ( qmltpeq @ SV117 @ SY1373 @ SY858 ) )
| ! [SY859: mworld] :
( ~ ( mrel @ SY1374 @ SY859 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SY1373 ) @ SY859 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(807,plain,
! [SV118: $i,SV197: mworld,SV36: mworld] :
( ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( ! [SY1377: $i,SY1378: mworld] :
( ~ ( mrel @ SV197 @ SY1378 )
| ! [SY863: $i,SY864: mworld] :
( ~ ( mrel @ SY1378 @ SY864 )
| ~ ! [SY865: mworld] :
( ~ ( mrel @ SY864 @ SY865 )
| ( qmltpeq @ SV118 @ SY1377 @ SY865 ) )
| ! [SY866: mworld] :
( ~ ( mrel @ SY864 @ SY866 )
| ( qmltpeq @ ( apply @ SY863 @ SV118 ) @ ( apply @ SY863 @ SY1377 ) @ SY866 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(808,plain,
! [SV119: $i,SV198: mworld,SV37: mworld] :
( ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( ! [SY1383: $i,SY1384: mworld] :
( ~ ( mrel @ SV198 @ SY1384 )
| ! [SY870: $i,SY871: mworld] :
( ~ ( mrel @ SY1384 @ SY871 )
| ~ ! [SY872: mworld] :
( ~ ( mrel @ SY871 @ SY872 )
| ( qmltpeq @ SV119 @ SY1383 @ SY872 ) )
| ! [SY873: mworld] :
( ~ ( mrel @ SY871 @ SY873 )
| ( qmltpeq @ ( cross_product @ SY870 @ SV119 ) @ ( cross_product @ SY870 @ SY1383 ) @ SY873 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(809,plain,
! [SV120: $i,SV199: mworld,SV38: mworld] :
( ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( ~ ! [SY1389: mworld] :
( ~ ( mrel @ SV199 @ SY1389 )
| ( member @ SV120 @ universal_class @ SY1389 ) )
| ! [SY1390: mworld] :
( ~ ( mrel @ SV199 @ SY1390 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SY1390 ) ) )
= $true )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(810,plain,
! [SV121: $i,SV200: mworld,SV39: mworld] :
( ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( ! [SY1391: $i,SY1392: mworld] :
( ~ ( mrel @ SV200 @ SY1392 )
| ! [SY880: $i,SY881: mworld] :
( ~ ( mrel @ SY1392 @ SY881 )
| ~ ~ ( ~ ! [SY882: mworld] :
( ~ ( mrel @ SY881 @ SY882 )
| ( qmltpeq @ SV121 @ SY1391 @ SY882 ) )
| ~ ! [SY883: mworld] :
( ~ ( mrel @ SY881 @ SY883 )
| ( subclass @ SY880 @ SV121 @ SY883 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY881 @ SX7 )
| ( subclass @ SY880 @ SY1391 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(811,plain,
! [SV122: $i,SV201: mworld,SV40: mworld] :
( ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( ! [SY1398: $i,SY1399: mworld] :
( ~ ( mrel @ SV201 @ SY1399 )
| ! [SY888: $i,SY889: mworld] :
( ~ ( mrel @ SY1399 @ SY889 )
| ~ ! [SY890: mworld] :
( ~ ( mrel @ SY889 @ SY890 )
| ( qmltpeq @ SV122 @ SY1398 @ SY890 ) )
| ! [SY891: mworld] :
( ~ ( mrel @ SY889 @ SY891 )
| ( qmltpeq @ ( ordered_pair @ SY888 @ SV122 ) @ ( ordered_pair @ SY888 @ SY1398 ) @ SY891 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(812,plain,
! [SV123: $i,SV202: mworld,SV41: mworld] :
( ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( ! [SY1404: $i,SY1405: mworld] :
( ~ ( mrel @ SV202 @ SY1405 )
| ! [SY895: $i,SY896: mworld] :
( ~ ( mrel @ SY1405 @ SY896 )
| ~ ! [SY897: mworld] :
( ~ ( mrel @ SY896 @ SY897 )
| ( qmltpeq @ SV123 @ SY1404 @ SY897 ) )
| ! [SY898: mworld] :
( ~ ( mrel @ SY896 @ SY898 )
| ( qmltpeq @ ( image @ SY895 @ SV123 ) @ ( image @ SY895 @ SY1404 ) @ SY898 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(813,plain,
! [SV124: $i,SV203: mworld,SV42: mworld] :
( ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( ! [SY1410: $i,SY1411: mworld] :
( ~ ( mrel @ SV203 @ SY1411 )
| ! [SY902: $i,SY903: mworld] :
( ~ ( mrel @ SY1411 @ SY903 )
| ~ ~ ( ~ ! [SY904: mworld] :
( ~ ( mrel @ SY903 @ SY904 )
| ( qmltpeq @ SV124 @ SY1410 @ SY904 ) )
| ~ ! [SY905: mworld] :
( ~ ( mrel @ SY903 @ SY905 )
| ( member @ SV124 @ SY902 @ SY905 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY903 @ SX7 )
| ( member @ SY1410 @ SY902 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(814,plain,
! [SV125: $i,SV204: mworld,SV43: mworld] :
( ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( ~ ! [SY1417: mworld] :
( ~ ( mrel @ SV204 @ SY1417 )
| ( member @ SV125 @ universal_class @ SY1417 ) )
| ! [SY1418: mworld] :
( ~ ( mrel @ SV204 @ SY1418 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SY1418 ) ) )
= $true )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(815,plain,
! [SV126: $i,SV205: mworld,SV44: mworld] :
( ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( ! [SY1419: $i,SY1420: mworld] :
( ~ ( mrel @ SV205 @ SY1420 )
| ! [SY913: $i,SY914: mworld] :
( ~ ( mrel @ SY1420 @ SY914 )
| ~ ! [SY915: mworld] :
( ~ ( mrel @ SY914 @ SY915 )
| ( qmltpeq @ SV126 @ SY1419 @ SY915 ) )
| ! [SY916: mworld] :
( ~ ( mrel @ SY914 @ SY916 )
| ( qmltpeq @ ( intersection @ SY913 @ SV126 ) @ ( intersection @ SY913 @ SY1419 ) @ SY916 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(816,plain,
! [SV127: $i,SV206: mworld,SV45: mworld] :
( ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( ! [SY1425: $i,SY1426: mworld] :
( ~ ( mrel @ SV206 @ SY1426 )
| ~ ~ ( ~ ! [SY920: mworld] :
( ~ ( mrel @ SY1426 @ SY920 )
| ( qmltpeq @ SV127 @ SY1425 @ SY920 ) )
| ~ ! [SY921: mworld] :
( ~ ( mrel @ SY1426 @ SY921 )
| ( inductive @ SV127 @ SY921 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SY1426 @ SX5 )
| ( inductive @ SY1425 @ SX5 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(817,plain,
! [SV128: $i,SV207: mworld,SV46: mworld] :
( ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( ! [SY1430: $i,SY1431: mworld] :
( ~ ( mrel @ SV207 @ SY1431 )
| ! [SY926: $i,SY927: mworld] :
( ~ ( mrel @ SY1431 @ SY927 )
| ~ ~ ( ~ ! [SY928: mworld] :
( ~ ( mrel @ SY927 @ SY928 )
| ( qmltpeq @ SV128 @ SY1430 @ SY928 ) )
| ~ ! [SY929: mworld] :
( ~ ( mrel @ SY927 @ SY929 )
| ( disjoint @ SV128 @ SY926 @ SY929 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY927 @ SX7 )
| ( disjoint @ SY1430 @ SY926 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(818,plain,
! [SV242: mworld] :
( ( ~ ( mrel @ mactual @ SV242 )
| ( function @ sK1_SX0 @ SV242 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(819,plain,
! [SV243: mworld] :
( ( ~ ( mrel @ mactual @ SV243 )
| ! [SY1650: $i,SY1651: mworld] :
( ~ ( mrel @ SV243 @ SY1651 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY1651 @ SX4 )
| ( member @ SY1650 @ universal_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1651 @ SX4 )
| ( qmltpeq @ SY1650 @ null_class @ SX4 ) )
| ! [SY636: mworld] :
( ~ ( mrel @ SY1651 @ SY636 )
| ( member @ ( apply @ sK1_SX0 @ SY1650 ) @ SY1650 @ SY636 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(820,plain,
! [SV129: $i,SV208: mworld,SV47: mworld] :
( ( ( mrel @ SV47 @ SV208 )
= $false )
| ( ( subclass @ ( flip @ SV129 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV208 )
= $true )
| ( ( mrel @ mactual @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(821,plain,
! [SV130: $i,SV209: mworld,SV48: mworld] :
( ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( ! [SY1437: $i] :
~ ( ~ ! [SY1438: mworld] :
( ~ ( mrel @ SV209 @ SY1438 )
| ~ ! [SY935: mworld] :
( ~ ( mrel @ SY1438 @ SY935 )
| ( qmltpeq @ SV130 @ SY1437 @ SY935 ) )
| ~ ( ~ ! [SY936: mworld] :
( ~ ( mrel @ SY1438 @ SY936 )
| ( subclass @ SV130 @ SY1437 @ SY936 ) )
| ~ ! [SY937: mworld] :
( ~ ( mrel @ SY1438 @ SY937 )
| ( subclass @ SY1437 @ SV130 @ SY937 ) ) ) )
| ~ ! [SY1442: mworld] :
( ~ ( mrel @ SV209 @ SY1442 )
| ~ ~ ( ~ ! [SY939: mworld] :
( ~ ( mrel @ SY1442 @ SY939 )
| ( subclass @ SV130 @ SY1437 @ SY939 ) )
| ~ ! [SY940: mworld] :
( ~ ( mrel @ SY1442 @ SY940 )
| ( subclass @ SY1437 @ SV130 @ SY940 ) ) )
| ! [SY941: mworld] :
( ~ ( mrel @ SY1442 @ SY941 )
| ( qmltpeq @ SV130 @ SY1437 @ SY941 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(822,plain,
! [SV131: $i,SV210: mworld,SV49: mworld] :
( ( ( mrel @ SV49 @ SV210 )
= $false )
| ( ( qmltpeq @ SV131 @ SV131 @ SV210 )
= $true )
| ( ( mrel @ mactual @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(823,plain,
! [SV132: $i,SV211: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( ! [SY1446: $i,SY1447: mworld] :
( ~ ( mrel @ SV211 @ SY1447 )
| ~ ! [SY946: mworld] :
( ~ ( mrel @ SY1447 @ SY946 )
| ( qmltpeq @ SV132 @ SY1446 @ SY946 ) )
| ! [SY947: mworld] :
( ~ ( mrel @ SY1447 @ SY947 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SY1446 ) @ SY947 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(824,plain,
! [SV133: $i,SV212: mworld,SV51: mworld] :
( ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( ! [SY1450: $i,SY1451: mworld] :
( ~ ( mrel @ SV212 @ SY1451 )
| ~ ! [SY951: mworld] :
( ~ ( mrel @ SY1451 @ SY951 )
| ( qmltpeq @ SV133 @ SY1450 @ SY951 ) )
| ! [SY952: mworld] :
( ~ ( mrel @ SY1451 @ SY952 )
| ( qmltpeq @ SY1450 @ SV133 @ SY952 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(825,plain,
( ( mrel @ sK2_SX0 @ sK5_SY953 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(826,plain,
! [SV244: mworld] :
( ( ~ ( mrel @ mactual @ SV244 )
| ( member @ sK3_SX0 @ universal_class @ SV244 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(827,plain,
( ( ~ ! [SY640: mworld] :
( ~ ( mrel @ mactual @ SY640 )
| ( inductive @ sK3_SX0 @ SY640 ) )
| ~ ! [SY641: mworld] :
( ~ ( mrel @ mactual @ SY641 )
| ! [SY642: $i,SY643: mworld] :
( ~ ( mrel @ SY641 @ SY643 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY643 @ SX4 )
| ( inductive @ SY642 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY643 @ SY645 )
| ( subclass @ sK3_SX0 @ SY642 @ SY645 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(828,plain,
! [SV134: $i,SV213: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( ! [SY1454: $i,SY1455: mworld] :
( ~ ( mrel @ SV213 @ SY1455 )
| ~ ! [SY957: mworld] :
( ~ ( mrel @ SY1455 @ SY957 )
| ( qmltpeq @ SV134 @ SY1454 @ SY957 ) )
| ! [SY958: mworld] :
( ~ ( mrel @ SY1455 @ SY958 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SY1454 ) @ SY958 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(829,plain,
! [SV135: $i,SV214: mworld,SV53: mworld] :
( ( ( mrel @ SV53 @ SV214 )
= $false )
| ( ( ~ ! [SY1458: mworld] :
( ~ ( mrel @ SV214 @ SY1458 )
| ( member @ SV135 @ null_class @ SY1458 ) ) )
= $true )
| ( ( mrel @ mactual @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(830,plain,
! [SV136: $i,SV215: mworld,SV54: mworld] :
( ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( ! [SY1459: $i,SY1460: mworld] :
( ~ ( mrel @ SV215 @ SY1460 )
| ! [SY964: $i,SY965: mworld] :
( ~ ( mrel @ SY1460 @ SY965 )
| ~ ~ ( ~ ! [SY966: mworld] :
( ~ ( mrel @ SY965 @ SY966 )
| ( qmltpeq @ SV136 @ SY1459 @ SY966 ) )
| ~ ! [SY967: mworld] :
( ~ ( mrel @ SY965 @ SY967 )
| ( disjoint @ SY964 @ SV136 @ SY967 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY965 @ SX7 )
| ( disjoint @ SY964 @ SY1459 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(831,plain,
! [SV137: $i,SV55: mworld] :
( ( ( ! [SY969: mworld] :
( ~ ( mrel @ SV55 @ SY969 )
| ~ ! [SY970: mworld] :
( ~ ( mrel @ SY969 @ SY970 )
| ( function @ SV137 @ SY970 ) )
| ~ ( ~ ! [SY971: mworld] :
( ~ ( mrel @ SY969 @ SY971 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY971 ) )
| ~ ! [SY972: mworld] :
( ~ ( mrel @ SY969 @ SY972 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY972 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(832,plain,
! [SV137: $i,SV55: mworld] :
( ( ( ! [SY973: mworld] :
( ~ ( mrel @ SV55 @ SY973 )
| ~ ~ ( ~ ! [SY974: mworld] :
( ~ ( mrel @ SY973 @ SY974 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY974 ) )
| ~ ! [SY975: mworld] :
( ~ ( mrel @ SY973 @ SY975 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY975 ) ) )
| ! [SY976: mworld] :
( ~ ( mrel @ SY973 @ SY976 )
| ( function @ SV137 @ SY976 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[745]) ).
thf(833,plain,
! [SV138: $i,SV216: mworld,SV56: mworld] :
( ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( ! [SY1466: $i] :
~ ( ~ ! [SY1467: mworld] :
( ~ ( mrel @ SV216 @ SY1467 )
| ~ ! [SY980: mworld] :
( ~ ( mrel @ SY1467 @ SY980 )
| ( disjoint @ SV138 @ SY1466 @ SY980 ) )
| ! [SY981: mworld] :
( ~ ( mrel @ SY1467 @ SY981 )
| ! [SY982: $i,SY983: mworld] :
( ~ ( mrel @ SY981 @ SY983 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY983 @ SY984 )
| ( member @ SY982 @ SV138 @ SY984 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY983 @ SX8 )
| ( member @ SY982 @ SY1466 @ SX8 ) ) ) ) ) )
| ~ ! [SY1474: mworld] :
( ~ ( mrel @ SV216 @ SY1474 )
| ~ ! [SY987: mworld] :
( ~ ( mrel @ SY1474 @ SY987 )
| ! [SY988: $i,SY989: mworld] :
( ~ ( mrel @ SY987 @ SY989 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY989 @ SY990 )
| ( member @ SY988 @ SV138 @ SY990 ) )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY989 @ SX8 )
| ( member @ SY988 @ SY1466 @ SX8 ) ) ) ) )
| ! [SY992: mworld] :
( ~ ( mrel @ SY1474 @ SY992 )
| ( disjoint @ SV138 @ SY1466 @ SY992 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(834,plain,
! [SV139: $i,SV217: mworld,SV57: mworld] :
( ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( ! [SY1481: $i] :
~ ( ~ ! [SY1482: mworld] :
( ~ ( mrel @ SV217 @ SY1482 )
| ~ ! [SY996: mworld] :
( ~ ( mrel @ SY1482 @ SY996 )
| ( member @ ( ordered_pair @ SV139 @ SY1481 ) @ successor_relation @ SY996 ) )
| ~ ( ~ ! [SY997: mworld] :
( ~ ( mrel @ SY1482 @ SY997 )
| ( member @ SV139 @ universal_class @ SY997 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1482 @ SX5 )
| ( member @ SY1481 @ universal_class @ SX5 ) )
| ~ ! [SY999: mworld] :
( ~ ( mrel @ SY1482 @ SY999 )
| ( qmltpeq @ ( successor @ SV139 ) @ SY1481 @ SY999 ) ) ) ) )
| ~ ! [SY1487: mworld] :
( ~ ( mrel @ SV217 @ SY1487 )
| ~ ~ ( ~ ! [SY1001: mworld] :
( ~ ( mrel @ SY1487 @ SY1001 )
| ( member @ SV139 @ universal_class @ SY1001 ) )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1487 @ SX5 )
| ( member @ SY1481 @ universal_class @ SX5 ) )
| ~ ! [SY1003: mworld] :
( ~ ( mrel @ SY1487 @ SY1003 )
| ( qmltpeq @ ( successor @ SV139 ) @ SY1481 @ SY1003 ) ) ) )
| ! [SY1004: mworld] :
( ~ ( mrel @ SY1487 @ SY1004 )
| ( member @ ( ordered_pair @ SV139 @ SY1481 ) @ successor_relation @ SY1004 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(835,plain,
! [SV140: $i,SV218: mworld,SV58: mworld] :
( ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( ! [SY1492: $i,SY1493: mworld] :
( ~ ( mrel @ SV218 @ SY1493 )
| ! [SY1008: $i] :
~ ( ~ ! [SY1009: mworld] :
( ~ ( mrel @ SY1493 @ SY1009 )
| ~ ! [SY1010: mworld] :
( ~ ( mrel @ SY1009 @ SY1010 )
| ( member @ SV140 @ ( unordered_pair @ SY1492 @ SY1008 ) @ SY1010 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY1009 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1012: mworld] :
( ~ ( mrel @ SY1009 @ SY1012 )
| ( qmltpeq @ SV140 @ SY1492 @ SY1012 ) )
| ! [SY1013: mworld] :
( ~ ( mrel @ SY1009 @ SY1013 )
| ( qmltpeq @ SV140 @ SY1008 @ SY1013 ) ) ) ) )
| ~ ! [SY1014: mworld] :
( ~ ( mrel @ SY1493 @ SY1014 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY1014 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1016: mworld] :
( ~ ( mrel @ SY1014 @ SY1016 )
| ( qmltpeq @ SV140 @ SY1492 @ SY1016 ) )
| ! [SY1017: mworld] :
( ~ ( mrel @ SY1014 @ SY1017 )
| ( qmltpeq @ SV140 @ SY1008 @ SY1017 ) ) ) )
| ! [SY1018: mworld] :
( ~ ( mrel @ SY1014 @ SY1018 )
| ( member @ SV140 @ ( unordered_pair @ SY1492 @ SY1008 ) @ SY1018 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(836,plain,
! [SV141: $i,SV219: mworld,SV60: mworld] :
( ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( ! [SY1505: $i,SY1506: mworld] :
( ~ ( mrel @ SV219 @ SY1506 )
| ! [SY1022: $i,SY1023: mworld] :
( ~ ( mrel @ SY1506 @ SY1023 )
| ~ ! [SY1024: mworld] :
( ~ ( mrel @ SY1023 @ SY1024 )
| ( member @ SY1022 @ ( cross_product @ SV141 @ SY1505 ) @ SY1024 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1023 @ SX7 )
| ( qmltpeq @ SY1022 @ ( ordered_pair @ ( first @ SY1022 ) @ ( second @ SY1022 ) ) @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(837,plain,
! [SV142: $i,SV61: mworld] :
( ( ( ! [SY1026: mworld] :
( ~ ( mrel @ SV61 @ SY1026 )
| ~ ! [SY1027: mworld] :
( ~ ( mrel @ SY1026 @ SY1027 )
| ( inductive @ SV142 @ SY1027 ) )
| ~ ( ~ ! [SY1028: mworld] :
( ~ ( mrel @ SY1026 @ SY1028 )
| ( member @ null_class @ SV142 @ SY1028 ) )
| ~ ! [SY1029: mworld] :
( ~ ( mrel @ SY1026 @ SY1029 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1029 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(838,plain,
! [SV142: $i,SV61: mworld] :
( ( ( ! [SY1030: mworld] :
( ~ ( mrel @ SV61 @ SY1030 )
| ~ ~ ( ~ ! [SY1031: mworld] :
( ~ ( mrel @ SY1030 @ SY1031 )
| ( member @ null_class @ SV142 @ SY1031 ) )
| ~ ! [SY1032: mworld] :
( ~ ( mrel @ SY1030 @ SY1032 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1032 ) ) )
| ! [SY1033: mworld] :
( ~ ( mrel @ SY1030 @ SY1033 )
| ( inductive @ SV142 @ SY1033 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(839,plain,
! [SV143: $i,SV220: mworld,SV62: mworld] :
( ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( ! [SY1511: $i,SY1512: mworld] :
( ~ ( mrel @ SV220 @ SY1512 )
| ! [SY1037: $i,SY1038: mworld] :
( ~ ( mrel @ SY1512 @ SY1038 )
| ! [SY1039: $i] :
~ ( ~ ! [SY1040: mworld] :
( ~ ( mrel @ SY1038 @ SY1040 )
| ~ ! [SY1041: mworld] :
( ~ ( mrel @ SY1040 @ SY1041 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( rotate @ SV143 ) @ SY1041 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1040 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SY1043: mworld] :
( ~ ( mrel @ SY1040 @ SY1043 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1037 @ SY1039 ) @ SY1511 ) @ SV143 @ SY1043 ) ) ) )
| ~ ! [SY1044: mworld] :
( ~ ( mrel @ SY1038 @ SY1044 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1044 @ SX9 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SX9 ) )
| ~ ! [SY1046: mworld] :
( ~ ( mrel @ SY1044 @ SY1046 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1037 @ SY1039 ) @ SY1511 ) @ SV143 @ SY1046 ) ) )
| ! [SY1047: mworld] :
( ~ ( mrel @ SY1044 @ SY1047 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1511 @ SY1037 ) @ SY1039 ) @ ( rotate @ SV143 ) @ SY1047 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(840,plain,
! [SV144: $i,SV221: mworld,SV63: mworld] :
( ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( ! [SY1524: $i,SY1525: mworld] :
( ~ ( mrel @ SV221 @ SY1525 )
| ~ ! [SY1051: mworld] :
( ~ ( mrel @ SY1525 @ SY1051 )
| ( qmltpeq @ SV144 @ SY1524 @ SY1051 ) )
| ! [SY1052: mworld] :
( ~ ( mrel @ SY1525 @ SY1052 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SY1524 ) @ SY1052 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(841,plain,
! [SV145: $i,SV222: mworld,SV64: mworld] :
( ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( ~ ! [SY1528: mworld] :
( ~ ( mrel @ SV222 @ SY1528 )
| ~ ! [SY1055: mworld] :
( ~ ( mrel @ SY1528 @ SY1055 )
| ( qmltpeq @ SV145 @ null_class @ SY1055 ) ) )
| ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(842,plain,
! [SV146: $i,SV223: mworld,SV65: mworld] :
( ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( ! [SY1534: $i] :
~ ( ~ ! [SY1535: mworld] :
( ~ ( mrel @ SV223 @ SY1535 )
| ~ ! [SY1063: mworld] :
( ~ ( mrel @ SY1535 @ SY1063 )
| ( member @ ( ordered_pair @ SV146 @ SY1534 ) @ element_relation @ SY1063 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1535 @ SX5 )
| ( member @ SY1534 @ universal_class @ SX5 ) )
| ~ ! [SY1065: mworld] :
( ~ ( mrel @ SY1535 @ SY1065 )
| ( member @ SV146 @ SY1534 @ SY1065 ) ) ) )
| ~ ! [SY1539: mworld] :
( ~ ( mrel @ SV223 @ SY1539 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY1539 @ SX5 )
| ( member @ SY1534 @ universal_class @ SX5 ) )
| ~ ! [SY1068: mworld] :
( ~ ( mrel @ SY1539 @ SY1068 )
| ( member @ SV146 @ SY1534 @ SY1068 ) ) )
| ! [SY1069: mworld] :
( ~ ( mrel @ SY1539 @ SY1069 )
| ( member @ ( ordered_pair @ SV146 @ SY1534 ) @ element_relation @ SY1069 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(843,plain,
! [SV147: $i,SV224: mworld,SV66: mworld] :
( ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( ! [SY1543: $i,SY1544: mworld] :
( ~ ( mrel @ SV224 @ SY1544 )
| ! [SY1073: $i,SY1074: mworld] :
( ~ ( mrel @ SY1544 @ SY1074 )
| ~ ! [SY1075: mworld] :
( ~ ( mrel @ SY1074 @ SY1075 )
| ( qmltpeq @ SV147 @ SY1543 @ SY1075 ) )
| ! [SY1076: mworld] :
( ~ ( mrel @ SY1074 @ SY1076 )
| ( qmltpeq @ ( unordered_pair @ SY1073 @ SV147 ) @ ( unordered_pair @ SY1073 @ SY1543 ) @ SY1076 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(844,plain,
! [SV148: $i,SV225: mworld,SV67: mworld] :
( ( ( mrel @ SV67 @ SV225 )
= $false )
| ( ( subclass @ SV148 @ universal_class @ SV225 )
= $true )
| ( ( mrel @ mactual @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(845,plain,
! [SV149: $i,SV226: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( ! [SY1549: $i,SY1550: mworld] :
( ~ ( mrel @ SV226 @ SY1550 )
| ! [SY1081: $i,SY1082: mworld] :
( ~ ( mrel @ SY1550 @ SY1082 )
| ~ ! [SY1083: mworld] :
( ~ ( mrel @ SY1082 @ SY1083 )
| ( qmltpeq @ SV149 @ SY1549 @ SY1083 ) )
| ! [SY1084: mworld] :
( ~ ( mrel @ SY1082 @ SY1084 )
| ( qmltpeq @ ( image @ SV149 @ SY1081 ) @ ( image @ SY1549 @ SY1081 ) @ SY1084 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(846,plain,
! [SV150: $i,SV227: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( ! [SY1555: $i,SY1556: mworld] :
( ~ ( mrel @ SV227 @ SY1556 )
| ! [SY1088: $i,SY1089: mworld] :
( ~ ( mrel @ SY1556 @ SY1089 )
| ~ ! [SY1090: mworld] :
( ~ ( mrel @ SY1089 @ SY1090 )
| ( qmltpeq @ SV150 @ SY1555 @ SY1090 ) )
| ! [SY1091: mworld] :
( ~ ( mrel @ SY1089 @ SY1091 )
| ( qmltpeq @ ( cross_product @ SV150 @ SY1088 ) @ ( cross_product @ SY1555 @ SY1088 ) @ SY1091 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(847,plain,
! [SV151: $i,SV228: mworld,SV70: mworld] :
( ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( ! [SY1561: $i,SY1562: mworld] :
( ~ ( mrel @ SV228 @ SY1562 )
| ! [SY1095: $i,SY1096: mworld] :
( ~ ( mrel @ SY1562 @ SY1096 )
| ~ ! [SY1097: mworld] :
( ~ ( mrel @ SY1096 @ SY1097 )
| ( qmltpeq @ SV151 @ SY1561 @ SY1097 ) )
| ! [SY1098: mworld] :
( ~ ( mrel @ SY1096 @ SY1098 )
| ( qmltpeq @ ( union @ SV151 @ SY1095 ) @ ( union @ SY1561 @ SY1095 ) @ SY1098 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(848,plain,
! [SV152: $i,SV229: mworld,SV71: mworld] :
( ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( ! [SY1567: $i,SY1568: mworld] :
( ~ ( mrel @ SV229 @ SY1568 )
| ! [SY1102: $i,SY1103: mworld] :
( ~ ( mrel @ SY1568 @ SY1103 )
| ~ ~ ( ~ ! [SY1104: mworld] :
( ~ ( mrel @ SY1103 @ SY1104 )
| ( qmltpeq @ SV152 @ SY1567 @ SY1104 ) )
| ~ ! [SY1105: mworld] :
( ~ ( mrel @ SY1103 @ SY1105 )
| ( member @ SY1102 @ SV152 @ SY1105 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1103 @ SX7 )
| ( member @ SY1102 @ SY1567 @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(849,plain,
! [SV153: $i,SV230: mworld,SV72: mworld] :
( ( ( mrel @ SV72 @ SV230 )
= $false )
| ( ( qmltpeq @ ( range_of @ SV153 ) @ ( domain_of @ ( inverse @ SV153 ) ) @ SV230 )
= $true )
| ( ( mrel @ mactual @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(850,plain,
! [SV154: $i,SV231: mworld,SV73: mworld] :
( ( ( mrel @ SV73 @ SV231 )
= $false )
| ( ( ! [SY1574: $i,SY1575: mworld] :
( ~ ( mrel @ SV231 @ SY1575 )
| ( qmltpeq @ ( ordered_pair @ SV154 @ SY1574 ) @ ( unordered_pair @ ( singleton @ SV154 ) @ ( unordered_pair @ SV154 @ ( singleton @ SY1574 ) ) ) @ SY1575 ) ) )
= $true )
| ( ( mrel @ mactual @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(851,plain,
! [SV155: $i,SV232: mworld,SV74: mworld] :
( ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( ! [SY1576: $i,SY1577: mworld] :
( ~ ( mrel @ SV232 @ SY1577 )
| ! [SY1114: $i,SY1115: mworld] :
( ~ ( mrel @ SY1577 @ SY1115 )
| ~ ! [SY1116: mworld] :
( ~ ( mrel @ SY1115 @ SY1116 )
| ( qmltpeq @ SV155 @ SY1576 @ SY1116 ) )
| ! [SY1117: mworld] :
( ~ ( mrel @ SY1115 @ SY1117 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SY1114 ) @ ( unordered_pair @ SY1576 @ SY1114 ) @ SY1117 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(852,plain,
! [SV156: $i,SV233: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ SV233 )
= $false )
| ( ( ! [SY1582: $i,SY1583: mworld] :
( ~ ( mrel @ SV233 @ SY1583 )
| ( qmltpeq @ ( image @ SY1582 @ SV156 ) @ ( range_of @ ( restrict @ SY1582 @ SV156 @ universal_class ) ) @ SY1583 ) ) )
= $true )
| ( ( mrel @ mactual @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(853,plain,
! [SV157: $i,SV234: mworld,SV76: mworld] :
( ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( ! [SY1584: $i,SY1585: mworld] :
( ~ ( mrel @ SV234 @ SY1585 )
| ! [SY1124: $i,SY1125: mworld] :
( ~ ( mrel @ SY1585 @ SY1125 )
| ! [SY1126: $i] :
~ ( ~ ! [SY1127: mworld] :
( ~ ( mrel @ SY1125 @ SY1127 )
| ~ ! [SY1128: mworld] :
( ~ ( mrel @ SY1127 @ SY1128 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( flip @ SY1126 ) @ SY1128 ) )
| ~ ( ~ ! [SY1129: mworld] :
( ~ ( mrel @ SY1127 @ SY1129 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1129 ) )
| ~ ! [SY1130: mworld] :
( ~ ( mrel @ SY1127 @ SY1130 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1584 @ SV157 ) @ SY1124 ) @ SY1126 @ SY1130 ) ) ) )
| ~ ! [SY1131: mworld] :
( ~ ( mrel @ SY1125 @ SY1131 )
| ~ ~ ( ~ ! [SY1132: mworld] :
( ~ ( mrel @ SY1131 @ SY1132 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1132 ) )
| ~ ! [SY1133: mworld] :
( ~ ( mrel @ SY1131 @ SY1133 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1584 @ SV157 ) @ SY1124 ) @ SY1126 @ SY1133 ) ) )
| ! [SY1134: mworld] :
( ~ ( mrel @ SY1131 @ SY1134 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SY1584 ) @ SY1124 ) @ ( flip @ SY1126 ) @ SY1134 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(854,plain,
! [SV158: $i,SV235: mworld,SV77: mworld] :
( ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( ! [SY1597: $i,SY1598: mworld] :
( ~ ( mrel @ SV235 @ SY1598 )
| ! [SY1138: $i,SY1139: mworld] :
( ~ ( mrel @ SY1598 @ SY1139 )
| ! [SY1140: $i] :
~ ( ~ ! [SY1141: mworld] :
( ~ ( mrel @ SY1139 @ SY1141 )
| ~ ! [SY1142: mworld] :
( ~ ( mrel @ SY1141 @ SY1142 )
| ( member @ ( ordered_pair @ SY1138 @ SY1140 ) @ ( compose @ SY1597 @ SV158 ) @ SY1142 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1141 @ SX9 )
| ( member @ SY1138 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1141 @ SX9 )
| ( member @ SY1140 @ ( image @ SY1597 @ ( image @ SY1597 @ ( singleton @ SY1138 ) ) ) @ SX9 ) ) ) )
| ~ ! [SY1145: mworld] :
( ~ ( mrel @ SY1139 @ SY1145 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1145 @ SX9 )
| ( member @ SY1138 @ universal_class @ SX9 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1145 @ SX9 )
| ( member @ SY1140 @ ( image @ SY1597 @ ( image @ SY1597 @ ( singleton @ SY1138 ) ) ) @ SX9 ) ) )
| ! [SY1148: mworld] :
( ~ ( mrel @ SY1145 @ SY1148 )
| ( member @ ( ordered_pair @ SY1138 @ SY1140 ) @ ( compose @ SY1597 @ SV158 ) @ SY1148 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(855,plain,
! [SV159: $i,SV236: mworld,SV78: mworld] :
( ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( ! [SY1610: $i,SY1611: mworld] :
( ~ ( mrel @ SV236 @ SY1611 )
| ! [SY1152: $i,SY1153: mworld] :
( ~ ( mrel @ SY1611 @ SY1153 )
| ! [SY1154: $i] :
~ ( ~ ! [SY1155: mworld] :
( ~ ( mrel @ SY1153 @ SY1155 )
| ~ ! [SY1156: mworld] :
( ~ ( mrel @ SY1155 @ SY1156 )
| ( member @ ( ordered_pair @ SV159 @ SY1610 ) @ ( cross_product @ SY1152 @ SY1154 ) @ SY1156 ) )
| ~ ( ~ ! [SY1157: mworld] :
( ~ ( mrel @ SY1155 @ SY1157 )
| ( member @ SV159 @ SY1152 @ SY1157 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1155 @ SX9 )
| ( member @ SY1610 @ SY1154 @ SX9 ) ) ) )
| ~ ! [SY1159: mworld] :
( ~ ( mrel @ SY1153 @ SY1159 )
| ~ ~ ( ~ ! [SY1160: mworld] :
( ~ ( mrel @ SY1159 @ SY1160 )
| ( member @ SV159 @ SY1152 @ SY1160 ) )
| ~ ! [SX9: mworld] :
( ~ ( mrel @ SY1159 @ SX9 )
| ( member @ SY1610 @ SY1154 @ SX9 ) ) )
| ! [SY1162: mworld] :
( ~ ( mrel @ SY1159 @ SY1162 )
| ( member @ ( ordered_pair @ SV159 @ SY1610 ) @ ( cross_product @ SY1152 @ SY1154 ) @ SY1162 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(856,plain,
! [SV160: $i,SV237: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( ! [SY1623: $i,SY1624: mworld] :
( ~ ( mrel @ SV237 @ SY1624 )
| ~ ! [SY1166: mworld] :
( ~ ( mrel @ SY1624 @ SY1166 )
| ( qmltpeq @ SV160 @ SY1623 @ SY1166 ) )
| ! [SY1167: mworld] :
( ~ ( mrel @ SY1624 @ SY1167 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SY1623 ) @ SY1167 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(857,plain,
! [SV161: $i,SV238: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( ! [SY1627: $i,SY1628: mworld] :
( ~ ( mrel @ SV238 @ SY1628 )
| ! [SY1171: $i] :
~ ( ~ ! [SY1172: mworld] :
( ~ ( mrel @ SY1628 @ SY1172 )
| ~ ! [SY1173: mworld] :
( ~ ( mrel @ SY1172 @ SY1173 )
| ( member @ SY1171 @ ( intersection @ SV161 @ SY1627 ) @ SY1173 ) )
| ~ ( ~ ! [SY1174: mworld] :
( ~ ( mrel @ SY1172 @ SY1174 )
| ( member @ SY1171 @ SV161 @ SY1174 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1172 @ SX7 )
| ( member @ SY1171 @ SY1627 @ SX7 ) ) ) )
| ~ ! [SY1176: mworld] :
( ~ ( mrel @ SY1628 @ SY1176 )
| ~ ~ ( ~ ! [SY1177: mworld] :
( ~ ( mrel @ SY1176 @ SY1177 )
| ( member @ SY1171 @ SV161 @ SY1177 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY1176 @ SX7 )
| ( member @ SY1171 @ SY1627 @ SX7 ) ) )
| ! [SY1179: mworld] :
( ~ ( mrel @ SY1176 @ SY1179 )
| ( member @ SY1171 @ ( intersection @ SV161 @ SY1627 ) @ SY1179 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(858,plain,
! [SV162: $i,SV239: mworld,SV81: mworld] :
( ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( ! [SY1638: $i,SY1639: mworld] :
( ~ ( mrel @ SV239 @ SY1639 )
| ~ ! [SY1183: mworld] :
( ~ ( mrel @ SY1639 @ SY1183 )
| ( qmltpeq @ SV162 @ SY1638 @ SY1183 ) )
| ! [SY1184: mworld] :
( ~ ( mrel @ SY1639 @ SY1184 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SY1638 ) @ SY1184 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(859,plain,
! [SV163: $i,SV240: mworld,SV82: mworld] :
( ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( ! [SY1642: $i,SY1643: mworld] :
( ~ ( mrel @ SV240 @ SY1643 )
| ~ ! [SY1188: mworld] :
( ~ ( mrel @ SY1643 @ SY1188 )
| ( qmltpeq @ SV163 @ SY1642 @ SY1188 ) )
| ! [SY1189: mworld] :
( ~ ( mrel @ SY1643 @ SY1189 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SY1642 ) @ SY1189 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(860,plain,
! [SV164: $i,SV241: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( ! [SY1646: $i,SY1647: mworld] :
( ~ ( mrel @ SV241 @ SY1647 )
| ~ ! [SY1193: mworld] :
( ~ ( mrel @ SY1647 @ SY1193 )
| ( qmltpeq @ SV164 @ SY1646 @ SY1193 ) )
| ! [SY1194: mworld] :
( ~ ( mrel @ SY1647 @ SY1194 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SY1646 ) @ SY1194 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(861,plain,
! [SV3: mworld,SV245: $i,SV86: $i,SV165: mworld] :
( ( ( ! [SY1655: mworld] :
( ~ ( mrel @ SV165 @ SY1655 )
| ! [SY1656: $i,SY1657: mworld] :
( ~ ( mrel @ SY1655 @ SY1657 )
| ! [SY1658: $i,SY1659: mworld] :
( ~ ( mrel @ SY1657 @ SY1659 )
| ~ ! [SY1660: mworld] :
( ~ ( mrel @ SY1659 @ SY1660 )
| ( qmltpeq @ SV86 @ SV245 @ SY1660 ) )
| ! [SY1661: mworld] :
( ~ ( mrel @ SY1659 @ SY1661 )
| ( qmltpeq @ ( restrict @ SY1656 @ SV86 @ SY1658 ) @ ( restrict @ SY1656 @ SV245 @ SY1658 ) @ SY1661 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(862,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV166: mworld] :
( ( ( ~ ( ~ ! [SY1662: mworld] :
( ~ ( mrel @ SV166 @ SY1662 )
| ~ ! [SY1663: mworld] :
( ~ ( mrel @ SY1662 @ SY1663 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY1663 ) )
| ~ ( ~ ! [SY1664: mworld] :
( ~ ( mrel @ SY1662 @ SY1664 )
| ( member @ SV246 @ universal_class @ SY1664 ) )
| ~ ! [SY1665: mworld] :
( ~ ( mrel @ SY1662 @ SY1665 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY1665 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
| ~ ! [SY1667: mworld] :
( ~ ( mrel @ SV166 @ SY1667 )
| ~ ~ ( ~ ! [SY1668: mworld] :
( ~ ( mrel @ SY1667 @ SY1668 )
| ( member @ SV246 @ universal_class @ SY1668 ) )
| ~ ! [SY1669: mworld] :
( ~ ( mrel @ SY1667 @ SY1669 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY1669 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
| ! [SY1671: mworld] :
( ~ ( mrel @ SY1667 @ SY1671 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY1671 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(863,plain,
! [SV5: mworld,SV247: $i,SV88: $i,SV167: mworld] :
( ( ( ! [SY1672: mworld] :
( ~ ( mrel @ SV167 @ SY1672 )
| ! [SY1673: $i,SY1674: mworld] :
( ~ ( mrel @ SY1672 @ SY1674 )
| ~ ! [SY1675: mworld] :
( ~ ( mrel @ SY1674 @ SY1675 )
| ( qmltpeq @ SV88 @ SV247 @ SY1675 ) )
| ! [SY1676: mworld] :
( ~ ( mrel @ SY1674 @ SY1676 )
| ( qmltpeq @ ( apply @ SV88 @ SY1673 ) @ ( apply @ SV247 @ SY1673 ) @ SY1676 ) ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(864,plain,
! [SV6: mworld,SV248: $i,SV89: $i,SV168: mworld] :
( ( ( ! [SY1677: mworld] :
( ~ ( mrel @ SV168 @ SY1677 )
| ! [SY1678: $i,SY1679: mworld] :
( ~ ( mrel @ SY1677 @ SY1679 )
| ! [SY1680: $i,SY1681: mworld] :
( ~ ( mrel @ SY1679 @ SY1681 )
| ~ ! [SY1682: mworld] :
( ~ ( mrel @ SY1681 @ SY1682 )
| ( qmltpeq @ SV89 @ SV248 @ SY1682 ) )
| ! [SY1683: mworld] :
( ~ ( mrel @ SY1681 @ SY1683 )
| ( qmltpeq @ ( restrict @ SV89 @ SY1678 @ SY1680 ) @ ( restrict @ SV248 @ SY1678 @ SY1680 ) @ SY1683 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(865,plain,
! [SV7: mworld,SV249: $i,SV90: $i,SV169: mworld] :
( ( ( ! [SY1684: mworld] :
( ~ ( mrel @ SV169 @ SY1684 )
| ! [SY1685: $i,SY1686: mworld] :
( ~ ( mrel @ SY1684 @ SY1686 )
| ~ ! [SY1687: mworld] :
( ~ ( mrel @ SY1686 @ SY1687 )
| ( qmltpeq @ SV90 @ SV249 @ SY1687 ) )
| ! [SY1688: mworld] :
( ~ ( mrel @ SY1686 @ SY1688 )
| ( qmltpeq @ ( compose @ SY1685 @ SV90 ) @ ( compose @ SY1685 @ SV249 ) @ SY1688 ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(866,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV170: mworld] :
( ( ( ~ ( ~ ! [SY1689: mworld] :
( ~ ( mrel @ SV170 @ SY1689 )
| ~ ! [SY1690: mworld] :
( ~ ( mrel @ SY1689 @ SY1690 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY1690 ) )
| ~ ! [SY1691: $i] :
~ ~ ( ~ ! [SY695: mworld] :
( ~ ( mrel @ SY1689 @ SY695 )
| ( member @ SV91 @ SY1691 @ SY695 ) )
| ~ ! [SY1693: mworld] :
( ~ ( mrel @ SY1689 @ SY1693 )
| ( member @ SY1691 @ SV250 @ SY1693 ) ) ) )
| ~ ! [SY1694: mworld] :
( ~ ( mrel @ SV170 @ SY1694 )
| ~ ~ ! [SY1695: $i] :
~ ~ ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SY1694 @ SY699 )
| ( member @ SV91 @ SY1695 @ SY699 ) )
| ~ ! [SY1697: mworld] :
( ~ ( mrel @ SY1694 @ SY1697 )
| ( member @ SY1695 @ SV250 @ SY1697 ) ) )
| ! [SY1698: mworld] :
( ~ ( mrel @ SY1694 @ SY1698 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY1698 ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(867,plain,
! [SV9: mworld,SV251: $i,SV92: $i,SV171: mworld] :
( ( ( ! [SY1699: mworld] :
( ~ ( mrel @ SV171 @ SY1699 )
| ~ ! [SY1700: mworld] :
( ~ ( mrel @ SY1699 @ SY1700 )
| ( qmltpeq @ SV92 @ SV251 @ SY1700 ) )
| ! [SY1701: mworld] :
( ~ ( mrel @ SY1699 @ SY1701 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SY1701 ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(868,plain,
! [SV10: mworld,SV252: $i,SV93: $i,SV172: mworld] :
( ( ( ! [SY1702: mworld] :
( ~ ( mrel @ SV172 @ SY1702 )
| ( qmltpeq @ ( apply @ SV93 @ SV252 ) @ ( sum_class @ ( image @ SV93 @ ( singleton @ SV252 ) ) ) @ SY1702 ) ) )
= $true )
| ( ( mrel @ SV10 @ SV172 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(869,plain,
! [SV11: mworld,SV94: $i,SV253: $i,SV173: mworld] :
( ( ( ! [SY1703: mworld] :
( ~ ( mrel @ SV173 @ SY1703 )
| ! [SY1704: $i,SY1705: mworld] :
( ~ ( mrel @ SY1703 @ SY1705 )
| ( qmltpeq @ ( restrict @ SV253 @ SV94 @ SY1704 ) @ ( intersection @ SV253 @ ( cross_product @ SV94 @ SY1704 ) ) @ SY1705 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(870,plain,
! [SV13: mworld,SV254: $i,SV96: $i,SV175: mworld] :
( ( ( ! [SY1706: mworld] :
( ~ ( mrel @ SV175 @ SY1706 )
| ! [SY1707: $i,SY1708: mworld] :
( ~ ( mrel @ SY1706 @ SY1708 )
| ~ ! [SY1709: mworld] :
( ~ ( mrel @ SY1708 @ SY1709 )
| ( qmltpeq @ SV96 @ SV254 @ SY1709 ) )
| ! [SY1710: mworld] :
( ~ ( mrel @ SY1708 @ SY1710 )
| ( qmltpeq @ ( union @ SY1707 @ SV96 ) @ ( union @ SY1707 @ SV254 ) @ SY1710 ) ) ) ) )
= $true )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(871,plain,
! [SV14: mworld,SV255: $i,SV97: $i,SV176: mworld] :
( ( ( ! [SY1711: mworld] :
( ~ ( mrel @ SV176 @ SY1711 )
| ~ ! [SY1712: mworld] :
( ~ ( mrel @ SY1711 @ SY1712 )
| ( qmltpeq @ SV97 @ SV255 @ SY1712 ) )
| ! [SY1713: mworld] :
( ~ ( mrel @ SY1711 @ SY1713 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SY1713 ) ) ) )
= $true )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(872,plain,
! [SV15: mworld,SV256: $i,SV98: $i,SV177: mworld] :
( ( ( ! [SY1714: mworld] :
( ~ ( mrel @ SV177 @ SY1714 )
| ~ ~ ( ~ ! [SY731: mworld] :
( ~ ( mrel @ SY1714 @ SY731 )
| ( member @ SV98 @ universal_class @ SY731 ) )
| ~ ! [SY1716: mworld] :
( ~ ( mrel @ SY1714 @ SY1716 )
| ( function @ SV256 @ SY1716 ) ) )
| ! [SY1717: mworld] :
( ~ ( mrel @ SY1714 @ SY1717 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY1717 ) ) ) )
= $true )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(873,plain,
! [SV16: mworld,SV257: $i,SV99: $i,SV178: mworld] :
( ( ( ! [SY1718: mworld] :
( ~ ( mrel @ SV178 @ SY1718 )
| ( member @ ( unordered_pair @ SV99 @ SV257 ) @ universal_class @ SY1718 ) ) )
= $true )
| ( ( mrel @ SV16 @ SV178 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(874,plain,
! [SV17: mworld,SV258: $i,SV100: $i,SV179: mworld] :
( ( ( ! [SY1719: mworld] :
( ~ ( mrel @ SV179 @ SY1719 )
| ~ ! [SY1720: mworld] :
( ~ ( mrel @ SY1719 @ SY1720 )
| ( qmltpeq @ SV100 @ SV258 @ SY1720 ) )
| ! [SY1721: mworld] :
( ~ ( mrel @ SY1719 @ SY1721 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SY1721 ) ) ) )
= $true )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(875,plain,
! [SV20: mworld,SV259: $i,SV103: $i,SV182: mworld] :
( ( ( ! [SY1722: mworld] :
( ~ ( mrel @ SV182 @ SY1722 )
| ! [SY1723: $i] :
~ ( ~ ! [SY1724: mworld] :
( ~ ( mrel @ SY1722 @ SY1724 )
| ~ ! [SY1725: mworld] :
( ~ ( mrel @ SY1724 @ SY1725 )
| ( member @ SY1723 @ ( union @ SV103 @ SV259 ) @ SY1725 ) )
| ! [SY750: mworld] :
( ~ ( mrel @ SY1724 @ SY750 )
| ( member @ SY1723 @ SV103 @ SY750 ) )
| ! [SY1727: mworld] :
( ~ ( mrel @ SY1724 @ SY1727 )
| ( member @ SY1723 @ SV259 @ SY1727 ) ) )
| ~ ! [SY1728: mworld] :
( ~ ( mrel @ SY1722 @ SY1728 )
| ~ ( ! [SY753: mworld] :
( ~ ( mrel @ SY1728 @ SY753 )
| ( member @ SY1723 @ SV103 @ SY753 ) )
| ! [SY1730: mworld] :
( ~ ( mrel @ SY1728 @ SY1730 )
| ( member @ SY1723 @ SV259 @ SY1730 ) ) )
| ! [SY1731: mworld] :
( ~ ( mrel @ SY1728 @ SY1731 )
| ( member @ SY1723 @ ( union @ SV103 @ SV259 ) @ SY1731 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(876,plain,
! [SV21: mworld,SV260: $i,SV104: $i,SV183: mworld] :
( ( ( ! [SY1732: mworld] :
( ~ ( mrel @ SV183 @ SY1732 )
| ! [SY1733: $i,SY1734: mworld] :
( ~ ( mrel @ SY1732 @ SY1734 )
| ! [SY1735: $i,SY1736: mworld] :
( ~ ( mrel @ SY1734 @ SY1736 )
| ~ ! [SY1737: mworld] :
( ~ ( mrel @ SY1736 @ SY1737 )
| ( qmltpeq @ SV104 @ SV260 @ SY1737 ) )
| ! [SY1738: mworld] :
( ~ ( mrel @ SY1736 @ SY1738 )
| ( qmltpeq @ ( restrict @ SY1733 @ SY1735 @ SV104 ) @ ( restrict @ SY1733 @ SY1735 @ SV260 ) @ SY1738 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(877,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV185: mworld] :
( ( ( ~ ( ~ ! [SY1739: mworld] :
( ~ ( mrel @ SV185 @ SY1739 )
| ~ ! [SY1740: mworld] :
( ~ ( mrel @ SY1739 @ SY1740 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY1740 ) )
| ~ ( ~ ! [SY770: mworld] :
( ~ ( mrel @ SY1739 @ SY770 )
| ( member @ SV106 @ universal_class @ SY770 ) )
| ~ ! [SY1742: mworld] :
( ~ ( mrel @ SY1739 @ SY1742 )
| ( subclass @ SV106 @ SV261 @ SY1742 ) ) ) )
| ~ ! [SY1743: mworld] :
( ~ ( mrel @ SV185 @ SY1743 )
| ~ ~ ( ~ ! [SY773: mworld] :
( ~ ( mrel @ SY1743 @ SY773 )
| ( member @ SV106 @ universal_class @ SY773 ) )
| ~ ! [SY1745: mworld] :
( ~ ( mrel @ SY1743 @ SY1745 )
| ( subclass @ SV106 @ SV261 @ SY1745 ) ) )
| ! [SY1746: mworld] :
( ~ ( mrel @ SY1743 @ SY1746 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY1746 ) ) ) ) )
= $true )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(878,plain,
! [SV24: mworld,SV262: $i,SV107: $i,SV186: mworld] :
( ( ( ! [SY1747: mworld] :
( ~ ( mrel @ SV186 @ SY1747 )
| ! [SY1748: $i,SY1749: mworld] :
( ~ ( mrel @ SY1747 @ SY1749 )
| ~ ! [SY1750: mworld] :
( ~ ( mrel @ SY1749 @ SY1750 )
| ( qmltpeq @ SV107 @ SV262 @ SY1750 ) )
| ! [SY1751: mworld] :
( ~ ( mrel @ SY1749 @ SY1751 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SY1748 ) @ ( ordered_pair @ SV262 @ SY1748 ) @ SY1751 ) ) ) ) )
= $true )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(879,plain,
! [SV25: mworld,SV263: $i,SV108: $i,SV187: mworld] :
( ( ( ! [SY1752: mworld] :
( ~ ( mrel @ SV187 @ SY1752 )
| ! [SY1753: $i,SY1754: mworld] :
( ~ ( mrel @ SY1752 @ SY1754 )
| ~ ~ ( ~ ! [SY1755: mworld] :
( ~ ( mrel @ SY1754 @ SY1755 )
| ( qmltpeq @ SV108 @ SV263 @ SY1755 ) )
| ~ ! [SY789: mworld] :
( ~ ( mrel @ SY1754 @ SY789 )
| ( subclass @ SV108 @ SY1753 @ SY789 ) ) )
| ! [SY1757: mworld] :
( ~ ( mrel @ SY1754 @ SY1757 )
| ( subclass @ SV263 @ SY1753 @ SY1757 ) ) ) ) )
= $true )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(880,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV188: mworld] :
( ( ( ~ ( ~ ! [SY1758: mworld] :
( ~ ( mrel @ SV188 @ SY1758 )
| ~ ! [SY1759: mworld] :
( ~ ( mrel @ SY1758 @ SY1759 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY1759 ) )
| ~ ( ~ ! [SY1760: mworld] :
( ~ ( mrel @ SY1758 @ SY1760 )
| ( member @ SV264 @ universal_class @ SY1760 ) )
| ~ ! [SY1761: mworld] :
( ~ ( mrel @ SY1758 @ SY1761 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY1761 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
| ~ ! [SY1763: mworld] :
( ~ ( mrel @ SV188 @ SY1763 )
| ~ ~ ( ~ ! [SY1764: mworld] :
( ~ ( mrel @ SY1763 @ SY1764 )
| ( member @ SV264 @ universal_class @ SY1764 ) )
| ~ ! [SY1765: mworld] :
( ~ ( mrel @ SY1763 @ SY1765 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY1765 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
| ! [SY1767: mworld] :
( ~ ( mrel @ SY1763 @ SY1767 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY1767 ) ) ) ) )
= $true )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(881,plain,
! [SV27: mworld,SV265: $i,SV110: $i,SV189: mworld] :
( ( ( ! [SY1768: mworld] :
( ~ ( mrel @ SV189 @ SY1768 )
| ! [SY1769: $i,SY1770: mworld] :
( ~ ( mrel @ SY1768 @ SY1770 )
| ~ ! [SY1771: mworld] :
( ~ ( mrel @ SY1770 @ SY1771 )
| ( qmltpeq @ SV110 @ SV265 @ SY1771 ) )
| ! [SY1772: mworld] :
( ~ ( mrel @ SY1770 @ SY1772 )
| ( qmltpeq @ ( intersection @ SV110 @ SY1769 ) @ ( intersection @ SV265 @ SY1769 ) @ SY1772 ) ) ) ) )
= $true )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(882,plain,
! [SV28: mworld,SV266: $i,SV111: $i,SV190: mworld] :
( ( ( ! [SY1773: mworld] :
( ~ ( mrel @ SV190 @ SY1773 )
| ! [SY1774: $i,SY1775: mworld] :
( ~ ( mrel @ SY1773 @ SY1775 )
| ~ ! [SY1776: mworld] :
( ~ ( mrel @ SY1775 @ SY1776 )
| ( qmltpeq @ SV111 @ SV266 @ SY1776 ) )
| ! [SY1777: mworld] :
( ~ ( mrel @ SY1775 @ SY1777 )
| ( qmltpeq @ ( compose @ SV111 @ SY1774 ) @ ( compose @ SV266 @ SY1774 ) @ SY1777 ) ) ) ) )
= $true )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(883,plain,
! [SV30: mworld,SV112: $i,SV267: $i,SV191: mworld] :
( ( ( ! [SY1778: mworld] :
( ~ ( mrel @ SV191 @ SY1778 )
| ( subclass @ ( compose @ SV267 @ SV112 ) @ ( cross_product @ universal_class @ universal_class ) @ SY1778 ) ) )
= $true )
| ( ( mrel @ SV30 @ SV191 )
= $false )
| ( ( mrel @ mactual @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(884,plain,
! [SV31: mworld,SV268: $i,SV113: $i,SV192: mworld] :
( ( ( ! [SY1779: mworld] :
( ~ ( mrel @ SV192 @ SY1779 )
| ~ ! [SY1780: mworld] :
( ~ ( mrel @ SY1779 @ SY1780 )
| ( qmltpeq @ SV113 @ SV268 @ SY1780 ) )
| ! [SY1781: mworld] :
( ~ ( mrel @ SY1779 @ SY1781 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SY1781 ) ) ) )
= $true )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(885,plain,
! [SV32: mworld,SV269: $i,SV114: $i,SV193: mworld] :
( ( ( ! [SY1782: mworld] :
( ~ ( mrel @ SV193 @ SY1782 )
| ! [SY1783: $i,SY1784: mworld] :
( ~ ( mrel @ SY1782 @ SY1784 )
| ~ ~ ( ~ ! [SY1785: mworld] :
( ~ ( mrel @ SY1784 @ SY1785 )
| ( qmltpeq @ SV114 @ SV269 @ SY1785 ) )
| ~ ! [SY1786: mworld] :
( ~ ( mrel @ SY1784 @ SY1786 )
| ( qmltpeq @ SV269 @ SY1783 @ SY1786 ) ) )
| ! [SY832: mworld] :
( ~ ( mrel @ SY1784 @ SY832 )
| ( qmltpeq @ SV114 @ SY1783 @ SY832 ) ) ) ) )
= $true )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(886,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV194: mworld] :
( ( ( ~ ( ~ ! [SY1788: mworld] :
( ~ ( mrel @ SV194 @ SY1788 )
| ~ ! [SY1789: mworld] :
( ~ ( mrel @ SY1788 @ SY1789 )
| ( subclass @ SV115 @ SV270 @ SY1789 ) )
| ! [SY1790: mworld] :
( ~ ( mrel @ SY1788 @ SY1790 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY1790 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
| ~ ! [SY1795: mworld] :
( ~ ( mrel @ SV194 @ SY1795 )
| ~ ! [SY1796: mworld] :
( ~ ( mrel @ SY1795 @ SY1796 )
| ! [SY1797: $i,SY1798: mworld] :
( ~ ( mrel @ SY1796 @ SY1798 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY1798 @ SY846 )
| ( member @ SY1797 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY1798 @ SY1800 )
| ( member @ SY1797 @ SV270 @ SY1800 ) ) ) )
| ! [SY1801: mworld] :
( ~ ( mrel @ SY1795 @ SY1801 )
| ( subclass @ SV115 @ SV270 @ SY1801 ) ) ) ) )
= $true )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(887,plain,
! [SV34: mworld,SV271: $i,SV116: $i,SV195: mworld] :
( ( ( ! [SY1802: mworld] :
( ~ ( mrel @ SV195 @ SY1802 )
| ~ ~ ( ~ ! [SY1803: mworld] :
( ~ ( mrel @ SY1802 @ SY1803 )
| ( qmltpeq @ SV116 @ SV271 @ SY1803 ) )
| ~ ! [SY853: mworld] :
( ~ ( mrel @ SY1802 @ SY853 )
| ( function @ SV116 @ SY853 ) ) )
| ! [SY1805: mworld] :
( ~ ( mrel @ SY1802 @ SY1805 )
| ( function @ SV271 @ SY1805 ) ) ) )
= $true )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(888,plain,
! [SV35: mworld,SV272: $i,SV117: $i,SV196: mworld] :
( ( ( ! [SY1806: mworld] :
( ~ ( mrel @ SV196 @ SY1806 )
| ~ ! [SY1807: mworld] :
( ~ ( mrel @ SY1806 @ SY1807 )
| ( qmltpeq @ SV117 @ SV272 @ SY1807 ) )
| ! [SY1808: mworld] :
( ~ ( mrel @ SY1806 @ SY1808 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SY1808 ) ) ) )
= $true )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(889,plain,
! [SV36: mworld,SV273: $i,SV118: $i,SV197: mworld] :
( ( ( ! [SY1809: mworld] :
( ~ ( mrel @ SV197 @ SY1809 )
| ! [SY1810: $i,SY1811: mworld] :
( ~ ( mrel @ SY1809 @ SY1811 )
| ~ ! [SY1812: mworld] :
( ~ ( mrel @ SY1811 @ SY1812 )
| ( qmltpeq @ SV118 @ SV273 @ SY1812 ) )
| ! [SY1813: mworld] :
( ~ ( mrel @ SY1811 @ SY1813 )
| ( qmltpeq @ ( apply @ SY1810 @ SV118 ) @ ( apply @ SY1810 @ SV273 ) @ SY1813 ) ) ) ) )
= $true )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(890,plain,
! [SV37: mworld,SV274: $i,SV119: $i,SV198: mworld] :
( ( ( ! [SY1814: mworld] :
( ~ ( mrel @ SV198 @ SY1814 )
| ! [SY1815: $i,SY1816: mworld] :
( ~ ( mrel @ SY1814 @ SY1816 )
| ~ ! [SY1817: mworld] :
( ~ ( mrel @ SY1816 @ SY1817 )
| ( qmltpeq @ SV119 @ SV274 @ SY1817 ) )
| ! [SY1818: mworld] :
( ~ ( mrel @ SY1816 @ SY1818 )
| ( qmltpeq @ ( cross_product @ SY1815 @ SV119 ) @ ( cross_product @ SY1815 @ SV274 ) @ SY1818 ) ) ) ) )
= $true )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(891,plain,
! [SV38: mworld,SV120: $i,SV199: mworld] :
( ( ( ~ ! [SY1389: mworld] :
( ~ ( mrel @ SV199 @ SY1389 )
| ( member @ SV120 @ universal_class @ SY1389 ) ) )
= $true )
| ( ( ! [SY1390: mworld] :
( ~ ( mrel @ SV199 @ SY1390 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SY1390 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(892,plain,
! [SV39: mworld,SV275: $i,SV121: $i,SV200: mworld] :
( ( ( ! [SY1819: mworld] :
( ~ ( mrel @ SV200 @ SY1819 )
| ! [SY1820: $i,SY1821: mworld] :
( ~ ( mrel @ SY1819 @ SY1821 )
| ~ ~ ( ~ ! [SY1822: mworld] :
( ~ ( mrel @ SY1821 @ SY1822 )
| ( qmltpeq @ SV121 @ SV275 @ SY1822 ) )
| ~ ! [SY883: mworld] :
( ~ ( mrel @ SY1821 @ SY883 )
| ( subclass @ SY1820 @ SV121 @ SY883 ) ) )
| ! [SY1824: mworld] :
( ~ ( mrel @ SY1821 @ SY1824 )
| ( subclass @ SY1820 @ SV275 @ SY1824 ) ) ) ) )
= $true )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(893,plain,
! [SV40: mworld,SV276: $i,SV122: $i,SV201: mworld] :
( ( ( ! [SY1825: mworld] :
( ~ ( mrel @ SV201 @ SY1825 )
| ! [SY1826: $i,SY1827: mworld] :
( ~ ( mrel @ SY1825 @ SY1827 )
| ~ ! [SY1828: mworld] :
( ~ ( mrel @ SY1827 @ SY1828 )
| ( qmltpeq @ SV122 @ SV276 @ SY1828 ) )
| ! [SY1829: mworld] :
( ~ ( mrel @ SY1827 @ SY1829 )
| ( qmltpeq @ ( ordered_pair @ SY1826 @ SV122 ) @ ( ordered_pair @ SY1826 @ SV276 ) @ SY1829 ) ) ) ) )
= $true )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(894,plain,
! [SV41: mworld,SV277: $i,SV123: $i,SV202: mworld] :
( ( ( ! [SY1830: mworld] :
( ~ ( mrel @ SV202 @ SY1830 )
| ! [SY1831: $i,SY1832: mworld] :
( ~ ( mrel @ SY1830 @ SY1832 )
| ~ ! [SY1833: mworld] :
( ~ ( mrel @ SY1832 @ SY1833 )
| ( qmltpeq @ SV123 @ SV277 @ SY1833 ) )
| ! [SY1834: mworld] :
( ~ ( mrel @ SY1832 @ SY1834 )
| ( qmltpeq @ ( image @ SY1831 @ SV123 ) @ ( image @ SY1831 @ SV277 ) @ SY1834 ) ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(895,plain,
! [SV42: mworld,SV278: $i,SV124: $i,SV203: mworld] :
( ( ( ! [SY1835: mworld] :
( ~ ( mrel @ SV203 @ SY1835 )
| ! [SY1836: $i,SY1837: mworld] :
( ~ ( mrel @ SY1835 @ SY1837 )
| ~ ~ ( ~ ! [SY1838: mworld] :
( ~ ( mrel @ SY1837 @ SY1838 )
| ( qmltpeq @ SV124 @ SV278 @ SY1838 ) )
| ~ ! [SY905: mworld] :
( ~ ( mrel @ SY1837 @ SY905 )
| ( member @ SV124 @ SY1836 @ SY905 ) ) )
| ! [SY1840: mworld] :
( ~ ( mrel @ SY1837 @ SY1840 )
| ( member @ SV278 @ SY1836 @ SY1840 ) ) ) ) )
= $true )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(896,plain,
! [SV43: mworld,SV125: $i,SV204: mworld] :
( ( ( ~ ! [SY1417: mworld] :
( ~ ( mrel @ SV204 @ SY1417 )
| ( member @ SV125 @ universal_class @ SY1417 ) ) )
= $true )
| ( ( ! [SY1418: mworld] :
( ~ ( mrel @ SV204 @ SY1418 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SY1418 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(897,plain,
! [SV44: mworld,SV279: $i,SV126: $i,SV205: mworld] :
( ( ( ! [SY1841: mworld] :
( ~ ( mrel @ SV205 @ SY1841 )
| ! [SY1842: $i,SY1843: mworld] :
( ~ ( mrel @ SY1841 @ SY1843 )
| ~ ! [SY1844: mworld] :
( ~ ( mrel @ SY1843 @ SY1844 )
| ( qmltpeq @ SV126 @ SV279 @ SY1844 ) )
| ! [SY1845: mworld] :
( ~ ( mrel @ SY1843 @ SY1845 )
| ( qmltpeq @ ( intersection @ SY1842 @ SV126 ) @ ( intersection @ SY1842 @ SV279 ) @ SY1845 ) ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(898,plain,
! [SV45: mworld,SV280: $i,SV127: $i,SV206: mworld] :
( ( ( ! [SY1846: mworld] :
( ~ ( mrel @ SV206 @ SY1846 )
| ~ ~ ( ~ ! [SY1847: mworld] :
( ~ ( mrel @ SY1846 @ SY1847 )
| ( qmltpeq @ SV127 @ SV280 @ SY1847 ) )
| ~ ! [SY921: mworld] :
( ~ ( mrel @ SY1846 @ SY921 )
| ( inductive @ SV127 @ SY921 ) ) )
| ! [SY1849: mworld] :
( ~ ( mrel @ SY1846 @ SY1849 )
| ( inductive @ SV280 @ SY1849 ) ) ) )
= $true )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(899,plain,
! [SV46: mworld,SV281: $i,SV128: $i,SV207: mworld] :
( ( ( ! [SY1850: mworld] :
( ~ ( mrel @ SV207 @ SY1850 )
| ! [SY1851: $i,SY1852: mworld] :
( ~ ( mrel @ SY1850 @ SY1852 )
| ~ ~ ( ~ ! [SY1853: mworld] :
( ~ ( mrel @ SY1852 @ SY1853 )
| ( qmltpeq @ SV128 @ SV281 @ SY1853 ) )
| ~ ! [SY929: mworld] :
( ~ ( mrel @ SY1852 @ SY929 )
| ( disjoint @ SV128 @ SY1851 @ SY929 ) ) )
| ! [SY1855: mworld] :
( ~ ( mrel @ SY1852 @ SY1855 )
| ( disjoint @ SV281 @ SY1851 @ SY1855 ) ) ) ) )
= $true )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(900,plain,
! [SV242: mworld] :
( ( ( ~ ( mrel @ mactual @ SV242 ) )
= $true )
| ( ( function @ sK1_SX0 @ SV242 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(901,plain,
! [SV243: mworld] :
( ( ( ~ ( mrel @ mactual @ SV243 ) )
= $true )
| ( ( ! [SY1650: $i,SY1651: mworld] :
( ~ ( mrel @ SV243 @ SY1651 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY1651 @ SX4 )
| ( member @ SY1650 @ universal_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1651 @ SX4 )
| ( qmltpeq @ SY1650 @ null_class @ SX4 ) )
| ! [SY636: mworld] :
( ~ ( mrel @ SY1651 @ SY636 )
| ( member @ ( apply @ sK1_SX0 @ SY1650 ) @ SY1650 @ SY636 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(902,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV209: mworld] :
( ( ( ~ ( ~ ! [SY1856: mworld] :
( ~ ( mrel @ SV209 @ SY1856 )
| ~ ! [SY1857: mworld] :
( ~ ( mrel @ SY1856 @ SY1857 )
| ( qmltpeq @ SV130 @ SV282 @ SY1857 ) )
| ~ ( ~ ! [SY1858: mworld] :
( ~ ( mrel @ SY1856 @ SY1858 )
| ( subclass @ SV130 @ SV282 @ SY1858 ) )
| ~ ! [SY1859: mworld] :
( ~ ( mrel @ SY1856 @ SY1859 )
| ( subclass @ SV282 @ SV130 @ SY1859 ) ) ) )
| ~ ! [SY1860: mworld] :
( ~ ( mrel @ SV209 @ SY1860 )
| ~ ~ ( ~ ! [SY1861: mworld] :
( ~ ( mrel @ SY1860 @ SY1861 )
| ( subclass @ SV130 @ SV282 @ SY1861 ) )
| ~ ! [SY1862: mworld] :
( ~ ( mrel @ SY1860 @ SY1862 )
| ( subclass @ SV282 @ SV130 @ SY1862 ) ) )
| ! [SY1863: mworld] :
( ~ ( mrel @ SY1860 @ SY1863 )
| ( qmltpeq @ SV130 @ SV282 @ SY1863 ) ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(903,plain,
! [SV50: mworld,SV283: $i,SV132: $i,SV211: mworld] :
( ( ( ! [SY1864: mworld] :
( ~ ( mrel @ SV211 @ SY1864 )
| ~ ! [SY1865: mworld] :
( ~ ( mrel @ SY1864 @ SY1865 )
| ( qmltpeq @ SV132 @ SV283 @ SY1865 ) )
| ! [SY1866: mworld] :
( ~ ( mrel @ SY1864 @ SY1866 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SY1866 ) ) ) )
= $true )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(904,plain,
! [SV51: mworld,SV284: $i,SV133: $i,SV212: mworld] :
( ( ( ! [SY1867: mworld] :
( ~ ( mrel @ SV212 @ SY1867 )
| ~ ! [SY1868: mworld] :
( ~ ( mrel @ SY1867 @ SY1868 )
| ( qmltpeq @ SV133 @ SV284 @ SY1868 ) )
| ! [SY1869: mworld] :
( ~ ( mrel @ SY1867 @ SY1869 )
| ( qmltpeq @ SV284 @ SV133 @ SY1869 ) ) ) )
= $true )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(905,plain,
! [SV244: mworld] :
( ( ( ~ ( mrel @ mactual @ SV244 ) )
= $true )
| ( ( member @ sK3_SX0 @ universal_class @ SV244 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(906,plain,
( ( ~ ! [SY640: mworld] :
( ~ ( mrel @ mactual @ SY640 )
| ( inductive @ sK3_SX0 @ SY640 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(907,plain,
( ( ~ ! [SY641: mworld] :
( ~ ( mrel @ mactual @ SY641 )
| ! [SY642: $i,SY643: mworld] :
( ~ ( mrel @ SY641 @ SY643 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY643 @ SX4 )
| ( inductive @ SY642 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY643 @ SY645 )
| ( subclass @ sK3_SX0 @ SY642 @ SY645 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(908,plain,
! [SV52: mworld,SV285: $i,SV134: $i,SV213: mworld] :
( ( ( ! [SY1870: mworld] :
( ~ ( mrel @ SV213 @ SY1870 )
| ~ ! [SY1871: mworld] :
( ~ ( mrel @ SY1870 @ SY1871 )
| ( qmltpeq @ SV134 @ SV285 @ SY1871 ) )
| ! [SY1872: mworld] :
( ~ ( mrel @ SY1870 @ SY1872 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SY1872 ) ) ) )
= $true )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(909,plain,
! [SV53: mworld,SV135: $i,SV214: mworld] :
( ( ( ! [SY1458: mworld] :
( ~ ( mrel @ SV214 @ SY1458 )
| ( member @ SV135 @ null_class @ SY1458 ) ) )
= $false )
| ( ( mrel @ SV53 @ SV214 )
= $false )
| ( ( mrel @ mactual @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(910,plain,
! [SV54: mworld,SV286: $i,SV136: $i,SV215: mworld] :
( ( ( ! [SY1873: mworld] :
( ~ ( mrel @ SV215 @ SY1873 )
| ! [SY1874: $i,SY1875: mworld] :
( ~ ( mrel @ SY1873 @ SY1875 )
| ~ ~ ( ~ ! [SY1876: mworld] :
( ~ ( mrel @ SY1875 @ SY1876 )
| ( qmltpeq @ SV136 @ SV286 @ SY1876 ) )
| ~ ! [SY967: mworld] :
( ~ ( mrel @ SY1875 @ SY967 )
| ( disjoint @ SY1874 @ SV136 @ SY967 ) ) )
| ! [SY1878: mworld] :
( ~ ( mrel @ SY1875 @ SY1878 )
| ( disjoint @ SY1874 @ SV286 @ SY1878 ) ) ) ) )
= $true )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(911,plain,
! [SV137: $i,SV287: mworld,SV55: mworld] :
( ( ( ~ ( mrel @ SV55 @ SV287 )
| ~ ! [SY1879: mworld] :
( ~ ( mrel @ SV287 @ SY1879 )
| ( function @ SV137 @ SY1879 ) )
| ~ ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(912,plain,
! [SV137: $i,SV288: mworld,SV55: mworld] :
( ( ( ~ ( mrel @ SV55 @ SV288 )
| ~ ~ ( ~ ! [SY1882: mworld] :
( ~ ( mrel @ SV288 @ SY1882 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1882 ) )
| ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
| ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(913,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV216: mworld] :
( ( ( ~ ( ~ ! [SY1885: mworld] :
( ~ ( mrel @ SV216 @ SY1885 )
| ~ ! [SY1886: mworld] :
( ~ ( mrel @ SY1885 @ SY1886 )
| ( disjoint @ SV138 @ SV289 @ SY1886 ) )
| ! [SY1887: mworld] :
( ~ ( mrel @ SY1885 @ SY1887 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY1887 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
| ~ ! [SY1892: mworld] :
( ~ ( mrel @ SV216 @ SY1892 )
| ~ ! [SY1893: mworld] :
( ~ ( mrel @ SY1892 @ SY1893 )
| ! [SY1894: $i,SY1895: mworld] :
( ~ ( mrel @ SY1893 @ SY1895 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY1895 @ SY990 )
| ( member @ SY1894 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY1895 @ SY1897 )
| ( member @ SY1894 @ SV289 @ SY1897 ) ) ) ) )
| ! [SY1898: mworld] :
( ~ ( mrel @ SY1892 @ SY1898 )
| ( disjoint @ SV138 @ SV289 @ SY1898 ) ) ) ) )
= $true )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(914,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV217: mworld] :
( ( ( ~ ( ~ ! [SY1899: mworld] :
( ~ ( mrel @ SV217 @ SY1899 )
| ~ ! [SY1900: mworld] :
( ~ ( mrel @ SY1899 @ SY1900 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY1900 ) )
| ~ ( ~ ! [SY997: mworld] :
( ~ ( mrel @ SY1899 @ SY997 )
| ( member @ SV139 @ universal_class @ SY997 ) )
| ~ ~ ( ~ ! [SY1902: mworld] :
( ~ ( mrel @ SY1899 @ SY1902 )
| ( member @ SV290 @ universal_class @ SY1902 ) )
| ~ ! [SY1903: mworld] :
( ~ ( mrel @ SY1899 @ SY1903 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY1903 ) ) ) ) )
| ~ ! [SY1904: mworld] :
( ~ ( mrel @ SV217 @ SY1904 )
| ~ ~ ( ~ ! [SY1001: mworld] :
( ~ ( mrel @ SY1904 @ SY1001 )
| ( member @ SV139 @ universal_class @ SY1001 ) )
| ~ ~ ( ~ ! [SY1906: mworld] :
( ~ ( mrel @ SY1904 @ SY1906 )
| ( member @ SV290 @ universal_class @ SY1906 ) )
| ~ ! [SY1907: mworld] :
( ~ ( mrel @ SY1904 @ SY1907 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY1907 ) ) ) )
| ! [SY1908: mworld] :
( ~ ( mrel @ SY1904 @ SY1908 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY1908 ) ) ) ) )
= $true )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(915,plain,
! [SV58: mworld,SV291: $i,SV140: $i,SV218: mworld] :
( ( ( ! [SY1909: mworld] :
( ~ ( mrel @ SV218 @ SY1909 )
| ! [SY1910: $i] :
~ ( ~ ! [SY1911: mworld] :
( ~ ( mrel @ SY1909 @ SY1911 )
| ~ ! [SY1912: mworld] :
( ~ ( mrel @ SY1911 @ SY1912 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SY1910 ) @ SY1912 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY1911 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1914: mworld] :
( ~ ( mrel @ SY1911 @ SY1914 )
| ( qmltpeq @ SV140 @ SV291 @ SY1914 ) )
| ! [SY1013: mworld] :
( ~ ( mrel @ SY1911 @ SY1013 )
| ( qmltpeq @ SV140 @ SY1910 @ SY1013 ) ) ) ) )
| ~ ! [SY1916: mworld] :
( ~ ( mrel @ SY1909 @ SY1916 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY1916 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1918: mworld] :
( ~ ( mrel @ SY1916 @ SY1918 )
| ( qmltpeq @ SV140 @ SV291 @ SY1918 ) )
| ! [SY1017: mworld] :
( ~ ( mrel @ SY1916 @ SY1017 )
| ( qmltpeq @ SV140 @ SY1910 @ SY1017 ) ) ) )
| ! [SY1920: mworld] :
( ~ ( mrel @ SY1916 @ SY1920 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SY1910 ) @ SY1920 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(916,plain,
! [SV60: mworld,SV292: $i,SV141: $i,SV219: mworld] :
( ( ( ! [SY1921: mworld] :
( ~ ( mrel @ SV219 @ SY1921 )
| ! [SY1922: $i,SY1923: mworld] :
( ~ ( mrel @ SY1921 @ SY1923 )
| ~ ! [SY1924: mworld] :
( ~ ( mrel @ SY1923 @ SY1924 )
| ( member @ SY1922 @ ( cross_product @ SV141 @ SV292 ) @ SY1924 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY1923 @ SX7 )
| ( qmltpeq @ SY1922 @ ( ordered_pair @ ( first @ SY1922 ) @ ( second @ SY1922 ) ) @ SX7 ) ) ) ) )
= $true )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(917,plain,
! [SV142: $i,SV293: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV293 )
| ~ ! [SY1926: mworld] :
( ~ ( mrel @ SV293 @ SY1926 )
| ( inductive @ SV142 @ SY1926 ) )
| ~ ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(918,plain,
! [SV142: $i,SV294: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV294 )
| ~ ~ ( ~ ! [SY1929: mworld] :
( ~ ( mrel @ SV294 @ SY1929 )
| ( member @ null_class @ SV142 @ SY1929 ) )
| ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
| ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(919,plain,
! [SV62: mworld,SV143: $i,SV295: $i,SV220: mworld] :
( ( ( ! [SY1932: mworld] :
( ~ ( mrel @ SV220 @ SY1932 )
| ! [SY1933: $i,SY1934: mworld] :
( ~ ( mrel @ SY1932 @ SY1934 )
| ! [SY1935: $i] :
~ ( ~ ! [SY1936: mworld] :
( ~ ( mrel @ SY1934 @ SY1936 )
| ~ ! [SY1937: mworld] :
( ~ ( mrel @ SY1936 @ SY1937 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY1933 ) @ SY1935 ) @ ( rotate @ SV143 ) @ SY1937 ) )
| ~ ( ~ ! [SY1938: mworld] :
( ~ ( mrel @ SY1936 @ SY1938 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY1933 ) @ SY1935 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1938 ) )
| ~ ! [SY1939: mworld] :
( ~ ( mrel @ SY1936 @ SY1939 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1933 @ SY1935 ) @ SV295 ) @ SV143 @ SY1939 ) ) ) )
| ~ ! [SY1940: mworld] :
( ~ ( mrel @ SY1934 @ SY1940 )
| ~ ~ ( ~ ! [SY1941: mworld] :
( ~ ( mrel @ SY1940 @ SY1941 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY1933 ) @ SY1935 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1941 ) )
| ~ ! [SY1942: mworld] :
( ~ ( mrel @ SY1940 @ SY1942 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY1933 @ SY1935 ) @ SV295 ) @ SV143 @ SY1942 ) ) )
| ! [SY1943: mworld] :
( ~ ( mrel @ SY1940 @ SY1943 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY1933 ) @ SY1935 ) @ ( rotate @ SV143 ) @ SY1943 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(920,plain,
! [SV63: mworld,SV296: $i,SV144: $i,SV221: mworld] :
( ( ( ! [SY1944: mworld] :
( ~ ( mrel @ SV221 @ SY1944 )
| ~ ! [SY1945: mworld] :
( ~ ( mrel @ SY1944 @ SY1945 )
| ( qmltpeq @ SV144 @ SV296 @ SY1945 ) )
| ! [SY1946: mworld] :
( ~ ( mrel @ SY1944 @ SY1946 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SY1946 ) ) ) )
= $true )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(921,plain,
! [SV64: mworld,SV145: $i,SV222: mworld] :
( ( ( ~ ! [SY1528: mworld] :
( ~ ( mrel @ SV222 @ SY1528 )
| ~ ! [SY1055: mworld] :
( ~ ( mrel @ SY1528 @ SY1055 )
| ( qmltpeq @ SV145 @ null_class @ SY1055 ) ) ) )
= $true )
| ( ( ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(922,plain,
! [SV65: mworld,SV297: $i,SV146: $i,SV223: mworld] :
( ( ( ~ ( ~ ! [SY1947: mworld] :
( ~ ( mrel @ SV223 @ SY1947 )
| ~ ! [SY1948: mworld] :
( ~ ( mrel @ SY1947 @ SY1948 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY1948 ) )
| ~ ( ~ ! [SY1949: mworld] :
( ~ ( mrel @ SY1947 @ SY1949 )
| ( member @ SV297 @ universal_class @ SY1949 ) )
| ~ ! [SY1950: mworld] :
( ~ ( mrel @ SY1947 @ SY1950 )
| ( member @ SV146 @ SV297 @ SY1950 ) ) ) )
| ~ ! [SY1951: mworld] :
( ~ ( mrel @ SV223 @ SY1951 )
| ~ ~ ( ~ ! [SY1952: mworld] :
( ~ ( mrel @ SY1951 @ SY1952 )
| ( member @ SV297 @ universal_class @ SY1952 ) )
| ~ ! [SY1953: mworld] :
( ~ ( mrel @ SY1951 @ SY1953 )
| ( member @ SV146 @ SV297 @ SY1953 ) ) )
| ! [SY1954: mworld] :
( ~ ( mrel @ SY1951 @ SY1954 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY1954 ) ) ) ) )
= $true )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(923,plain,
! [SV66: mworld,SV298: $i,SV147: $i,SV224: mworld] :
( ( ( ! [SY1955: mworld] :
( ~ ( mrel @ SV224 @ SY1955 )
| ! [SY1956: $i,SY1957: mworld] :
( ~ ( mrel @ SY1955 @ SY1957 )
| ~ ! [SY1958: mworld] :
( ~ ( mrel @ SY1957 @ SY1958 )
| ( qmltpeq @ SV147 @ SV298 @ SY1958 ) )
| ! [SY1959: mworld] :
( ~ ( mrel @ SY1957 @ SY1959 )
| ( qmltpeq @ ( unordered_pair @ SY1956 @ SV147 ) @ ( unordered_pair @ SY1956 @ SV298 ) @ SY1959 ) ) ) ) )
= $true )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(924,plain,
! [SV68: mworld,SV299: $i,SV149: $i,SV226: mworld] :
( ( ( ! [SY1960: mworld] :
( ~ ( mrel @ SV226 @ SY1960 )
| ! [SY1961: $i,SY1962: mworld] :
( ~ ( mrel @ SY1960 @ SY1962 )
| ~ ! [SY1963: mworld] :
( ~ ( mrel @ SY1962 @ SY1963 )
| ( qmltpeq @ SV149 @ SV299 @ SY1963 ) )
| ! [SY1964: mworld] :
( ~ ( mrel @ SY1962 @ SY1964 )
| ( qmltpeq @ ( image @ SV149 @ SY1961 ) @ ( image @ SV299 @ SY1961 ) @ SY1964 ) ) ) ) )
= $true )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(925,plain,
! [SV69: mworld,SV300: $i,SV150: $i,SV227: mworld] :
( ( ( ! [SY1965: mworld] :
( ~ ( mrel @ SV227 @ SY1965 )
| ! [SY1966: $i,SY1967: mworld] :
( ~ ( mrel @ SY1965 @ SY1967 )
| ~ ! [SY1968: mworld] :
( ~ ( mrel @ SY1967 @ SY1968 )
| ( qmltpeq @ SV150 @ SV300 @ SY1968 ) )
| ! [SY1969: mworld] :
( ~ ( mrel @ SY1967 @ SY1969 )
| ( qmltpeq @ ( cross_product @ SV150 @ SY1966 ) @ ( cross_product @ SV300 @ SY1966 ) @ SY1969 ) ) ) ) )
= $true )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(926,plain,
! [SV70: mworld,SV301: $i,SV151: $i,SV228: mworld] :
( ( ( ! [SY1970: mworld] :
( ~ ( mrel @ SV228 @ SY1970 )
| ! [SY1971: $i,SY1972: mworld] :
( ~ ( mrel @ SY1970 @ SY1972 )
| ~ ! [SY1973: mworld] :
( ~ ( mrel @ SY1972 @ SY1973 )
| ( qmltpeq @ SV151 @ SV301 @ SY1973 ) )
| ! [SY1974: mworld] :
( ~ ( mrel @ SY1972 @ SY1974 )
| ( qmltpeq @ ( union @ SV151 @ SY1971 ) @ ( union @ SV301 @ SY1971 ) @ SY1974 ) ) ) ) )
= $true )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(927,plain,
! [SV71: mworld,SV302: $i,SV152: $i,SV229: mworld] :
( ( ( ! [SY1975: mworld] :
( ~ ( mrel @ SV229 @ SY1975 )
| ! [SY1976: $i,SY1977: mworld] :
( ~ ( mrel @ SY1975 @ SY1977 )
| ~ ~ ( ~ ! [SY1978: mworld] :
( ~ ( mrel @ SY1977 @ SY1978 )
| ( qmltpeq @ SV152 @ SV302 @ SY1978 ) )
| ~ ! [SY1105: mworld] :
( ~ ( mrel @ SY1977 @ SY1105 )
| ( member @ SY1976 @ SV152 @ SY1105 ) ) )
| ! [SY1980: mworld] :
( ~ ( mrel @ SY1977 @ SY1980 )
| ( member @ SY1976 @ SV302 @ SY1980 ) ) ) ) )
= $true )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(928,plain,
! [SV73: mworld,SV303: $i,SV154: $i,SV231: mworld] :
( ( ( ! [SY1981: mworld] :
( ~ ( mrel @ SV231 @ SY1981 )
| ( qmltpeq @ ( ordered_pair @ SV154 @ SV303 ) @ ( unordered_pair @ ( singleton @ SV154 ) @ ( unordered_pair @ SV154 @ ( singleton @ SV303 ) ) ) @ SY1981 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV231 )
= $false )
| ( ( mrel @ mactual @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(929,plain,
! [SV74: mworld,SV304: $i,SV155: $i,SV232: mworld] :
( ( ( ! [SY1982: mworld] :
( ~ ( mrel @ SV232 @ SY1982 )
| ! [SY1983: $i,SY1984: mworld] :
( ~ ( mrel @ SY1982 @ SY1984 )
| ~ ! [SY1985: mworld] :
( ~ ( mrel @ SY1984 @ SY1985 )
| ( qmltpeq @ SV155 @ SV304 @ SY1985 ) )
| ! [SY1986: mworld] :
( ~ ( mrel @ SY1984 @ SY1986 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SY1983 ) @ ( unordered_pair @ SV304 @ SY1983 ) @ SY1986 ) ) ) ) )
= $true )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(930,plain,
! [SV75: mworld,SV156: $i,SV305: $i,SV233: mworld] :
( ( ( ! [SY1987: mworld] :
( ~ ( mrel @ SV233 @ SY1987 )
| ( qmltpeq @ ( image @ SV305 @ SV156 ) @ ( range_of @ ( restrict @ SV305 @ SV156 @ universal_class ) ) @ SY1987 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV233 )
= $false )
| ( ( mrel @ mactual @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(931,plain,
! [SV76: mworld,SV306: $i,SV157: $i,SV234: mworld] :
( ( ( ! [SY1988: mworld] :
( ~ ( mrel @ SV234 @ SY1988 )
| ! [SY1989: $i,SY1990: mworld] :
( ~ ( mrel @ SY1988 @ SY1990 )
| ! [SY1991: $i] :
~ ( ~ ! [SY1992: mworld] :
( ~ ( mrel @ SY1990 @ SY1992 )
| ~ ! [SY1993: mworld] :
( ~ ( mrel @ SY1992 @ SY1993 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY1989 ) @ ( flip @ SY1991 ) @ SY1993 ) )
| ~ ( ~ ! [SY1994: mworld] :
( ~ ( mrel @ SY1992 @ SY1994 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY1989 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1994 ) )
| ~ ! [SY1995: mworld] :
( ~ ( mrel @ SY1992 @ SY1995 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SY1989 ) @ SY1991 @ SY1995 ) ) ) )
| ~ ! [SY1996: mworld] :
( ~ ( mrel @ SY1990 @ SY1996 )
| ~ ~ ( ~ ! [SY1997: mworld] :
( ~ ( mrel @ SY1996 @ SY1997 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY1989 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1997 ) )
| ~ ! [SY1998: mworld] :
( ~ ( mrel @ SY1996 @ SY1998 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SY1989 ) @ SY1991 @ SY1998 ) ) )
| ! [SY1999: mworld] :
( ~ ( mrel @ SY1996 @ SY1999 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY1989 ) @ ( flip @ SY1991 ) @ SY1999 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(932,plain,
! [SV77: mworld,SV158: $i,SV307: $i,SV235: mworld] :
( ( ( ! [SY2000: mworld] :
( ~ ( mrel @ SV235 @ SY2000 )
| ! [SY2001: $i,SY2002: mworld] :
( ~ ( mrel @ SY2000 @ SY2002 )
| ! [SY2003: $i] :
~ ( ~ ! [SY2004: mworld] :
( ~ ( mrel @ SY2002 @ SY2004 )
| ~ ! [SY2005: mworld] :
( ~ ( mrel @ SY2004 @ SY2005 )
| ( member @ ( ordered_pair @ SY2001 @ SY2003 ) @ ( compose @ SV307 @ SV158 ) @ SY2005 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY2004 @ SX9 )
| ( member @ SY2001 @ universal_class @ SX9 ) )
| ~ ! [SY2007: mworld] :
( ~ ( mrel @ SY2004 @ SY2007 )
| ( member @ SY2003 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SY2001 ) ) ) @ SY2007 ) ) ) )
| ~ ! [SY2008: mworld] :
( ~ ( mrel @ SY2002 @ SY2008 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY2008 @ SX9 )
| ( member @ SY2001 @ universal_class @ SX9 ) )
| ~ ! [SY2010: mworld] :
( ~ ( mrel @ SY2008 @ SY2010 )
| ( member @ SY2003 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SY2001 ) ) ) @ SY2010 ) ) )
| ! [SY2011: mworld] :
( ~ ( mrel @ SY2008 @ SY2011 )
| ( member @ ( ordered_pair @ SY2001 @ SY2003 ) @ ( compose @ SV307 @ SV158 ) @ SY2011 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(933,plain,
! [SV78: mworld,SV308: $i,SV159: $i,SV236: mworld] :
( ( ( ! [SY2012: mworld] :
( ~ ( mrel @ SV236 @ SY2012 )
| ! [SY2013: $i,SY2014: mworld] :
( ~ ( mrel @ SY2012 @ SY2014 )
| ! [SY2015: $i] :
~ ( ~ ! [SY2016: mworld] :
( ~ ( mrel @ SY2014 @ SY2016 )
| ~ ! [SY2017: mworld] :
( ~ ( mrel @ SY2016 @ SY2017 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SY2013 @ SY2015 ) @ SY2017 ) )
| ~ ( ~ ! [SY1157: mworld] :
( ~ ( mrel @ SY2016 @ SY1157 )
| ( member @ SV159 @ SY2013 @ SY1157 ) )
| ~ ! [SY2019: mworld] :
( ~ ( mrel @ SY2016 @ SY2019 )
| ( member @ SV308 @ SY2015 @ SY2019 ) ) ) )
| ~ ! [SY2020: mworld] :
( ~ ( mrel @ SY2014 @ SY2020 )
| ~ ~ ( ~ ! [SY1160: mworld] :
( ~ ( mrel @ SY2020 @ SY1160 )
| ( member @ SV159 @ SY2013 @ SY1160 ) )
| ~ ! [SY2022: mworld] :
( ~ ( mrel @ SY2020 @ SY2022 )
| ( member @ SV308 @ SY2015 @ SY2022 ) ) )
| ! [SY2023: mworld] :
( ~ ( mrel @ SY2020 @ SY2023 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SY2013 @ SY2015 ) @ SY2023 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(934,plain,
! [SV79: mworld,SV309: $i,SV160: $i,SV237: mworld] :
( ( ( ! [SY2024: mworld] :
( ~ ( mrel @ SV237 @ SY2024 )
| ~ ! [SY2025: mworld] :
( ~ ( mrel @ SY2024 @ SY2025 )
| ( qmltpeq @ SV160 @ SV309 @ SY2025 ) )
| ! [SY2026: mworld] :
( ~ ( mrel @ SY2024 @ SY2026 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SY2026 ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(935,plain,
! [SV80: mworld,SV310: $i,SV161: $i,SV238: mworld] :
( ( ( ! [SY2027: mworld] :
( ~ ( mrel @ SV238 @ SY2027 )
| ! [SY2028: $i] :
~ ( ~ ! [SY2029: mworld] :
( ~ ( mrel @ SY2027 @ SY2029 )
| ~ ! [SY2030: mworld] :
( ~ ( mrel @ SY2029 @ SY2030 )
| ( member @ SY2028 @ ( intersection @ SV161 @ SV310 ) @ SY2030 ) )
| ~ ( ~ ! [SY1174: mworld] :
( ~ ( mrel @ SY2029 @ SY1174 )
| ( member @ SY2028 @ SV161 @ SY1174 ) )
| ~ ! [SY2032: mworld] :
( ~ ( mrel @ SY2029 @ SY2032 )
| ( member @ SY2028 @ SV310 @ SY2032 ) ) ) )
| ~ ! [SY2033: mworld] :
( ~ ( mrel @ SY2027 @ SY2033 )
| ~ ~ ( ~ ! [SY1177: mworld] :
( ~ ( mrel @ SY2033 @ SY1177 )
| ( member @ SY2028 @ SV161 @ SY1177 ) )
| ~ ! [SY2035: mworld] :
( ~ ( mrel @ SY2033 @ SY2035 )
| ( member @ SY2028 @ SV310 @ SY2035 ) ) )
| ! [SY2036: mworld] :
( ~ ( mrel @ SY2033 @ SY2036 )
| ( member @ SY2028 @ ( intersection @ SV161 @ SV310 ) @ SY2036 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(936,plain,
! [SV81: mworld,SV311: $i,SV162: $i,SV239: mworld] :
( ( ( ! [SY2037: mworld] :
( ~ ( mrel @ SV239 @ SY2037 )
| ~ ! [SY2038: mworld] :
( ~ ( mrel @ SY2037 @ SY2038 )
| ( qmltpeq @ SV162 @ SV311 @ SY2038 ) )
| ! [SY2039: mworld] :
( ~ ( mrel @ SY2037 @ SY2039 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SY2039 ) ) ) )
= $true )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(937,plain,
! [SV82: mworld,SV312: $i,SV163: $i,SV240: mworld] :
( ( ( ! [SY2040: mworld] :
( ~ ( mrel @ SV240 @ SY2040 )
| ~ ! [SY2041: mworld] :
( ~ ( mrel @ SY2040 @ SY2041 )
| ( qmltpeq @ SV163 @ SV312 @ SY2041 ) )
| ! [SY2042: mworld] :
( ~ ( mrel @ SY2040 @ SY2042 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SY2042 ) ) ) )
= $true )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(938,plain,
! [SV83: mworld,SV313: $i,SV164: $i,SV241: mworld] :
( ( ( ! [SY2043: mworld] :
( ~ ( mrel @ SV241 @ SY2043 )
| ~ ! [SY2044: mworld] :
( ~ ( mrel @ SY2043 @ SY2044 )
| ( qmltpeq @ SV164 @ SV313 @ SY2044 ) )
| ! [SY2045: mworld] :
( ~ ( mrel @ SY2043 @ SY2045 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SY2045 ) ) ) )
= $true )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(939,plain,
! [SV3: mworld,SV245: $i,SV86: $i,SV314: mworld,SV165: mworld] :
( ( ( ~ ( mrel @ SV165 @ SV314 )
| ! [SY2046: $i,SY2047: mworld] :
( ~ ( mrel @ SV314 @ SY2047 )
| ! [SY1658: $i,SY1659: mworld] :
( ~ ( mrel @ SY2047 @ SY1659 )
| ~ ! [SY1660: mworld] :
( ~ ( mrel @ SY1659 @ SY1660 )
| ( qmltpeq @ SV86 @ SV245 @ SY1660 ) )
| ! [SY1661: mworld] :
( ~ ( mrel @ SY1659 @ SY1661 )
| ( qmltpeq @ ( restrict @ SY2046 @ SV86 @ SY1658 ) @ ( restrict @ SY2046 @ SV245 @ SY1658 ) @ SY1661 ) ) ) ) )
= $true )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(940,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV166: mworld] :
( ( ( ~ ! [SY1662: mworld] :
( ~ ( mrel @ SV166 @ SY1662 )
| ~ ! [SY1663: mworld] :
( ~ ( mrel @ SY1662 @ SY1663 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY1663 ) )
| ~ ( ~ ! [SY1664: mworld] :
( ~ ( mrel @ SY1662 @ SY1664 )
| ( member @ SV246 @ universal_class @ SY1664 ) )
| ~ ! [SY1665: mworld] :
( ~ ( mrel @ SY1662 @ SY1665 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY1665 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
| ~ ! [SY1667: mworld] :
( ~ ( mrel @ SV166 @ SY1667 )
| ~ ~ ( ~ ! [SY1668: mworld] :
( ~ ( mrel @ SY1667 @ SY1668 )
| ( member @ SV246 @ universal_class @ SY1668 ) )
| ~ ! [SY1669: mworld] :
( ~ ( mrel @ SY1667 @ SY1669 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY1669 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
| ! [SY1671: mworld] :
( ~ ( mrel @ SY1667 @ SY1671 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY1671 ) ) ) )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(941,plain,
! [SV5: mworld,SV247: $i,SV88: $i,SV315: mworld,SV167: mworld] :
( ( ( ~ ( mrel @ SV167 @ SV315 )
| ! [SY2052: $i,SY2053: mworld] :
( ~ ( mrel @ SV315 @ SY2053 )
| ~ ! [SY1675: mworld] :
( ~ ( mrel @ SY2053 @ SY1675 )
| ( qmltpeq @ SV88 @ SV247 @ SY1675 ) )
| ! [SY1676: mworld] :
( ~ ( mrel @ SY2053 @ SY1676 )
| ( qmltpeq @ ( apply @ SV88 @ SY2052 ) @ ( apply @ SV247 @ SY2052 ) @ SY1676 ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(942,plain,
! [SV6: mworld,SV248: $i,SV89: $i,SV316: mworld,SV168: mworld] :
( ( ( ~ ( mrel @ SV168 @ SV316 )
| ! [SY2056: $i,SY2057: mworld] :
( ~ ( mrel @ SV316 @ SY2057 )
| ! [SY1680: $i,SY1681: mworld] :
( ~ ( mrel @ SY2057 @ SY1681 )
| ~ ! [SY1682: mworld] :
( ~ ( mrel @ SY1681 @ SY1682 )
| ( qmltpeq @ SV89 @ SV248 @ SY1682 ) )
| ! [SY1683: mworld] :
( ~ ( mrel @ SY1681 @ SY1683 )
| ( qmltpeq @ ( restrict @ SV89 @ SY2056 @ SY1680 ) @ ( restrict @ SV248 @ SY2056 @ SY1680 ) @ SY1683 ) ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(943,plain,
! [SV7: mworld,SV249: $i,SV90: $i,SV317: mworld,SV169: mworld] :
( ( ( ~ ( mrel @ SV169 @ SV317 )
| ! [SY2062: $i,SY2063: mworld] :
( ~ ( mrel @ SV317 @ SY2063 )
| ~ ! [SY1687: mworld] :
( ~ ( mrel @ SY2063 @ SY1687 )
| ( qmltpeq @ SV90 @ SV249 @ SY1687 ) )
| ! [SY1688: mworld] :
( ~ ( mrel @ SY2063 @ SY1688 )
| ( qmltpeq @ ( compose @ SY2062 @ SV90 ) @ ( compose @ SY2062 @ SV249 ) @ SY1688 ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(944,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV170: mworld] :
( ( ( ~ ! [SY1689: mworld] :
( ~ ( mrel @ SV170 @ SY1689 )
| ~ ! [SY1690: mworld] :
( ~ ( mrel @ SY1689 @ SY1690 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY1690 ) )
| ~ ! [SY1691: $i] :
~ ~ ( ~ ! [SY695: mworld] :
( ~ ( mrel @ SY1689 @ SY695 )
| ( member @ SV91 @ SY1691 @ SY695 ) )
| ~ ! [SY1693: mworld] :
( ~ ( mrel @ SY1689 @ SY1693 )
| ( member @ SY1691 @ SV250 @ SY1693 ) ) ) )
| ~ ! [SY1694: mworld] :
( ~ ( mrel @ SV170 @ SY1694 )
| ~ ~ ! [SY1695: $i] :
~ ~ ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SY1694 @ SY699 )
| ( member @ SV91 @ SY1695 @ SY699 ) )
| ~ ! [SY1697: mworld] :
( ~ ( mrel @ SY1694 @ SY1697 )
| ( member @ SY1695 @ SV250 @ SY1697 ) ) )
| ! [SY1698: mworld] :
( ~ ( mrel @ SY1694 @ SY1698 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY1698 ) ) ) )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(945,plain,
! [SV9: mworld,SV251: $i,SV92: $i,SV318: mworld,SV171: mworld] :
( ( ( ~ ( mrel @ SV171 @ SV318 )
| ~ ! [SY2066: mworld] :
( ~ ( mrel @ SV318 @ SY2066 )
| ( qmltpeq @ SV92 @ SV251 @ SY2066 ) )
| ! [SY2067: mworld] :
( ~ ( mrel @ SV318 @ SY2067 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SY2067 ) ) )
= $true )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(946,plain,
! [SV10: mworld,SV252: $i,SV93: $i,SV319: mworld,SV172: mworld] :
( ( ( ~ ( mrel @ SV172 @ SV319 )
| ( qmltpeq @ ( apply @ SV93 @ SV252 ) @ ( sum_class @ ( image @ SV93 @ ( singleton @ SV252 ) ) ) @ SV319 ) )
= $true )
| ( ( mrel @ SV10 @ SV172 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(947,plain,
! [SV11: mworld,SV94: $i,SV253: $i,SV320: mworld,SV173: mworld] :
( ( ( ~ ( mrel @ SV173 @ SV320 )
| ! [SY2068: $i,SY2069: mworld] :
( ~ ( mrel @ SV320 @ SY2069 )
| ( qmltpeq @ ( restrict @ SV253 @ SV94 @ SY2068 ) @ ( intersection @ SV253 @ ( cross_product @ SV94 @ SY2068 ) ) @ SY2069 ) ) )
= $true )
| ( ( mrel @ SV11 @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(948,plain,
! [SV13: mworld,SV254: $i,SV96: $i,SV321: mworld,SV175: mworld] :
( ( ( ~ ( mrel @ SV175 @ SV321 )
| ! [SY2070: $i,SY2071: mworld] :
( ~ ( mrel @ SV321 @ SY2071 )
| ~ ! [SY1709: mworld] :
( ~ ( mrel @ SY2071 @ SY1709 )
| ( qmltpeq @ SV96 @ SV254 @ SY1709 ) )
| ! [SY1710: mworld] :
( ~ ( mrel @ SY2071 @ SY1710 )
| ( qmltpeq @ ( union @ SY2070 @ SV96 ) @ ( union @ SY2070 @ SV254 ) @ SY1710 ) ) ) )
= $true )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(949,plain,
! [SV14: mworld,SV255: $i,SV97: $i,SV322: mworld,SV176: mworld] :
( ( ( ~ ( mrel @ SV176 @ SV322 )
| ~ ! [SY2074: mworld] :
( ~ ( mrel @ SV322 @ SY2074 )
| ( qmltpeq @ SV97 @ SV255 @ SY2074 ) )
| ! [SY2075: mworld] :
( ~ ( mrel @ SV322 @ SY2075 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SY2075 ) ) )
= $true )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(950,plain,
! [SV15: mworld,SV256: $i,SV98: $i,SV323: mworld,SV177: mworld] :
( ( ( ~ ( mrel @ SV177 @ SV323 )
| ~ ~ ( ~ ! [SY2076: mworld] :
( ~ ( mrel @ SV323 @ SY2076 )
| ( member @ SV98 @ universal_class @ SY2076 ) )
| ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
| ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(951,plain,
! [SV16: mworld,SV257: $i,SV99: $i,SV324: mworld,SV178: mworld] :
( ( ( ~ ( mrel @ SV178 @ SV324 )
| ( member @ ( unordered_pair @ SV99 @ SV257 ) @ universal_class @ SV324 ) )
= $true )
| ( ( mrel @ SV16 @ SV178 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(952,plain,
! [SV17: mworld,SV258: $i,SV100: $i,SV325: mworld,SV179: mworld] :
( ( ( ~ ( mrel @ SV179 @ SV325 )
| ~ ! [SY2079: mworld] :
( ~ ( mrel @ SV325 @ SY2079 )
| ( qmltpeq @ SV100 @ SV258 @ SY2079 ) )
| ! [SY2080: mworld] :
( ~ ( mrel @ SV325 @ SY2080 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SY2080 ) ) )
= $true )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(953,plain,
! [SV20: mworld,SV259: $i,SV103: $i,SV326: mworld,SV182: mworld] :
( ( ( ~ ( mrel @ SV182 @ SV326 )
| ! [SY2081: $i] :
~ ( ~ ! [SY2082: mworld] :
( ~ ( mrel @ SV326 @ SY2082 )
| ~ ! [SY1725: mworld] :
( ~ ( mrel @ SY2082 @ SY1725 )
| ( member @ SY2081 @ ( union @ SV103 @ SV259 ) @ SY1725 ) )
| ! [SY750: mworld] :
( ~ ( mrel @ SY2082 @ SY750 )
| ( member @ SY2081 @ SV103 @ SY750 ) )
| ! [SY1727: mworld] :
( ~ ( mrel @ SY2082 @ SY1727 )
| ( member @ SY2081 @ SV259 @ SY1727 ) ) )
| ~ ! [SY2086: mworld] :
( ~ ( mrel @ SV326 @ SY2086 )
| ~ ( ! [SY753: mworld] :
( ~ ( mrel @ SY2086 @ SY753 )
| ( member @ SY2081 @ SV103 @ SY753 ) )
| ! [SY1730: mworld] :
( ~ ( mrel @ SY2086 @ SY1730 )
| ( member @ SY2081 @ SV259 @ SY1730 ) ) )
| ! [SY1731: mworld] :
( ~ ( mrel @ SY2086 @ SY1731 )
| ( member @ SY2081 @ ( union @ SV103 @ SV259 ) @ SY1731 ) ) ) ) )
= $true )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(954,plain,
! [SV21: mworld,SV260: $i,SV104: $i,SV327: mworld,SV183: mworld] :
( ( ( ~ ( mrel @ SV183 @ SV327 )
| ! [SY2090: $i,SY2091: mworld] :
( ~ ( mrel @ SV327 @ SY2091 )
| ! [SY1735: $i,SY1736: mworld] :
( ~ ( mrel @ SY2091 @ SY1736 )
| ~ ! [SY1737: mworld] :
( ~ ( mrel @ SY1736 @ SY1737 )
| ( qmltpeq @ SV104 @ SV260 @ SY1737 ) )
| ! [SY1738: mworld] :
( ~ ( mrel @ SY1736 @ SY1738 )
| ( qmltpeq @ ( restrict @ SY2090 @ SY1735 @ SV104 ) @ ( restrict @ SY2090 @ SY1735 @ SV260 ) @ SY1738 ) ) ) ) )
= $true )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(955,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV185: mworld] :
( ( ( ~ ! [SY1739: mworld] :
( ~ ( mrel @ SV185 @ SY1739 )
| ~ ! [SY1740: mworld] :
( ~ ( mrel @ SY1739 @ SY1740 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY1740 ) )
| ~ ( ~ ! [SY770: mworld] :
( ~ ( mrel @ SY1739 @ SY770 )
| ( member @ SV106 @ universal_class @ SY770 ) )
| ~ ! [SY1742: mworld] :
( ~ ( mrel @ SY1739 @ SY1742 )
| ( subclass @ SV106 @ SV261 @ SY1742 ) ) ) )
| ~ ! [SY1743: mworld] :
( ~ ( mrel @ SV185 @ SY1743 )
| ~ ~ ( ~ ! [SY773: mworld] :
( ~ ( mrel @ SY1743 @ SY773 )
| ( member @ SV106 @ universal_class @ SY773 ) )
| ~ ! [SY1745: mworld] :
( ~ ( mrel @ SY1743 @ SY1745 )
| ( subclass @ SV106 @ SV261 @ SY1745 ) ) )
| ! [SY1746: mworld] :
( ~ ( mrel @ SY1743 @ SY1746 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY1746 ) ) ) )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(956,plain,
! [SV24: mworld,SV262: $i,SV107: $i,SV328: mworld,SV186: mworld] :
( ( ( ~ ( mrel @ SV186 @ SV328 )
| ! [SY2096: $i,SY2097: mworld] :
( ~ ( mrel @ SV328 @ SY2097 )
| ~ ! [SY1750: mworld] :
( ~ ( mrel @ SY2097 @ SY1750 )
| ( qmltpeq @ SV107 @ SV262 @ SY1750 ) )
| ! [SY1751: mworld] :
( ~ ( mrel @ SY2097 @ SY1751 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SY2096 ) @ ( ordered_pair @ SV262 @ SY2096 ) @ SY1751 ) ) ) )
= $true )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(957,plain,
! [SV25: mworld,SV263: $i,SV108: $i,SV329: mworld,SV187: mworld] :
( ( ( ~ ( mrel @ SV187 @ SV329 )
| ! [SY2100: $i,SY2101: mworld] :
( ~ ( mrel @ SV329 @ SY2101 )
| ~ ~ ( ~ ! [SY1755: mworld] :
( ~ ( mrel @ SY2101 @ SY1755 )
| ( qmltpeq @ SV108 @ SV263 @ SY1755 ) )
| ~ ! [SY789: mworld] :
( ~ ( mrel @ SY2101 @ SY789 )
| ( subclass @ SV108 @ SY2100 @ SY789 ) ) )
| ! [SY1757: mworld] :
( ~ ( mrel @ SY2101 @ SY1757 )
| ( subclass @ SV263 @ SY2100 @ SY1757 ) ) ) )
= $true )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(958,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV188: mworld] :
( ( ( ~ ! [SY1758: mworld] :
( ~ ( mrel @ SV188 @ SY1758 )
| ~ ! [SY1759: mworld] :
( ~ ( mrel @ SY1758 @ SY1759 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY1759 ) )
| ~ ( ~ ! [SY1760: mworld] :
( ~ ( mrel @ SY1758 @ SY1760 )
| ( member @ SV264 @ universal_class @ SY1760 ) )
| ~ ! [SY1761: mworld] :
( ~ ( mrel @ SY1758 @ SY1761 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY1761 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
| ~ ! [SY1763: mworld] :
( ~ ( mrel @ SV188 @ SY1763 )
| ~ ~ ( ~ ! [SY1764: mworld] :
( ~ ( mrel @ SY1763 @ SY1764 )
| ( member @ SV264 @ universal_class @ SY1764 ) )
| ~ ! [SY1765: mworld] :
( ~ ( mrel @ SY1763 @ SY1765 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY1765 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
| ! [SY1767: mworld] :
( ~ ( mrel @ SY1763 @ SY1767 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY1767 ) ) ) )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(959,plain,
! [SV27: mworld,SV265: $i,SV110: $i,SV330: mworld,SV189: mworld] :
( ( ( ~ ( mrel @ SV189 @ SV330 )
| ! [SY2105: $i,SY2106: mworld] :
( ~ ( mrel @ SV330 @ SY2106 )
| ~ ! [SY1771: mworld] :
( ~ ( mrel @ SY2106 @ SY1771 )
| ( qmltpeq @ SV110 @ SV265 @ SY1771 ) )
| ! [SY1772: mworld] :
( ~ ( mrel @ SY2106 @ SY1772 )
| ( qmltpeq @ ( intersection @ SV110 @ SY2105 ) @ ( intersection @ SV265 @ SY2105 ) @ SY1772 ) ) ) )
= $true )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(960,plain,
! [SV28: mworld,SV266: $i,SV111: $i,SV331: mworld,SV190: mworld] :
( ( ( ~ ( mrel @ SV190 @ SV331 )
| ! [SY2109: $i,SY2110: mworld] :
( ~ ( mrel @ SV331 @ SY2110 )
| ~ ! [SY1776: mworld] :
( ~ ( mrel @ SY2110 @ SY1776 )
| ( qmltpeq @ SV111 @ SV266 @ SY1776 ) )
| ! [SY1777: mworld] :
( ~ ( mrel @ SY2110 @ SY1777 )
| ( qmltpeq @ ( compose @ SV111 @ SY2109 ) @ ( compose @ SV266 @ SY2109 ) @ SY1777 ) ) ) )
= $true )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(961,plain,
! [SV30: mworld,SV112: $i,SV267: $i,SV332: mworld,SV191: mworld] :
( ( ( ~ ( mrel @ SV191 @ SV332 )
| ( subclass @ ( compose @ SV267 @ SV112 ) @ ( cross_product @ universal_class @ universal_class ) @ SV332 ) )
= $true )
| ( ( mrel @ SV30 @ SV191 )
= $false )
| ( ( mrel @ mactual @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(962,plain,
! [SV31: mworld,SV268: $i,SV113: $i,SV333: mworld,SV192: mworld] :
( ( ( ~ ( mrel @ SV192 @ SV333 )
| ~ ! [SY2113: mworld] :
( ~ ( mrel @ SV333 @ SY2113 )
| ( qmltpeq @ SV113 @ SV268 @ SY2113 ) )
| ! [SY2114: mworld] :
( ~ ( mrel @ SV333 @ SY2114 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SY2114 ) ) )
= $true )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(963,plain,
! [SV32: mworld,SV269: $i,SV114: $i,SV334: mworld,SV193: mworld] :
( ( ( ~ ( mrel @ SV193 @ SV334 )
| ! [SY2115: $i,SY2116: mworld] :
( ~ ( mrel @ SV334 @ SY2116 )
| ~ ~ ( ~ ! [SY1785: mworld] :
( ~ ( mrel @ SY2116 @ SY1785 )
| ( qmltpeq @ SV114 @ SV269 @ SY1785 ) )
| ~ ! [SY1786: mworld] :
( ~ ( mrel @ SY2116 @ SY1786 )
| ( qmltpeq @ SV269 @ SY2115 @ SY1786 ) ) )
| ! [SY832: mworld] :
( ~ ( mrel @ SY2116 @ SY832 )
| ( qmltpeq @ SV114 @ SY2115 @ SY832 ) ) ) )
= $true )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(964,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV194: mworld] :
( ( ( ~ ! [SY1788: mworld] :
( ~ ( mrel @ SV194 @ SY1788 )
| ~ ! [SY1789: mworld] :
( ~ ( mrel @ SY1788 @ SY1789 )
| ( subclass @ SV115 @ SV270 @ SY1789 ) )
| ! [SY1790: mworld] :
( ~ ( mrel @ SY1788 @ SY1790 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY1790 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
| ~ ! [SY1795: mworld] :
( ~ ( mrel @ SV194 @ SY1795 )
| ~ ! [SY1796: mworld] :
( ~ ( mrel @ SY1795 @ SY1796 )
| ! [SY1797: $i,SY1798: mworld] :
( ~ ( mrel @ SY1796 @ SY1798 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY1798 @ SY846 )
| ( member @ SY1797 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY1798 @ SY1800 )
| ( member @ SY1797 @ SV270 @ SY1800 ) ) ) )
| ! [SY1801: mworld] :
( ~ ( mrel @ SY1795 @ SY1801 )
| ( subclass @ SV115 @ SV270 @ SY1801 ) ) ) )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(965,plain,
! [SV34: mworld,SV271: $i,SV116: $i,SV335: mworld,SV195: mworld] :
( ( ( ~ ( mrel @ SV195 @ SV335 )
| ~ ~ ( ~ ! [SY2120: mworld] :
( ~ ( mrel @ SV335 @ SY2120 )
| ( qmltpeq @ SV116 @ SV271 @ SY2120 ) )
| ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
| ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(966,plain,
! [SV35: mworld,SV272: $i,SV117: $i,SV336: mworld,SV196: mworld] :
( ( ( ~ ( mrel @ SV196 @ SV336 )
| ~ ! [SY2123: mworld] :
( ~ ( mrel @ SV336 @ SY2123 )
| ( qmltpeq @ SV117 @ SV272 @ SY2123 ) )
| ! [SY2124: mworld] :
( ~ ( mrel @ SV336 @ SY2124 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SY2124 ) ) )
= $true )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(967,plain,
! [SV36: mworld,SV273: $i,SV118: $i,SV337: mworld,SV197: mworld] :
( ( ( ~ ( mrel @ SV197 @ SV337 )
| ! [SY2125: $i,SY2126: mworld] :
( ~ ( mrel @ SV337 @ SY2126 )
| ~ ! [SY1812: mworld] :
( ~ ( mrel @ SY2126 @ SY1812 )
| ( qmltpeq @ SV118 @ SV273 @ SY1812 ) )
| ! [SY1813: mworld] :
( ~ ( mrel @ SY2126 @ SY1813 )
| ( qmltpeq @ ( apply @ SY2125 @ SV118 ) @ ( apply @ SY2125 @ SV273 ) @ SY1813 ) ) ) )
= $true )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(968,plain,
! [SV37: mworld,SV274: $i,SV119: $i,SV338: mworld,SV198: mworld] :
( ( ( ~ ( mrel @ SV198 @ SV338 )
| ! [SY2129: $i,SY2130: mworld] :
( ~ ( mrel @ SV338 @ SY2130 )
| ~ ! [SY1817: mworld] :
( ~ ( mrel @ SY2130 @ SY1817 )
| ( qmltpeq @ SV119 @ SV274 @ SY1817 ) )
| ! [SY1818: mworld] :
( ~ ( mrel @ SY2130 @ SY1818 )
| ( qmltpeq @ ( cross_product @ SY2129 @ SV119 ) @ ( cross_product @ SY2129 @ SV274 ) @ SY1818 ) ) ) )
= $true )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(969,plain,
! [SV38: mworld,SV120: $i,SV199: mworld] :
( ( ( ! [SY1389: mworld] :
( ~ ( mrel @ SV199 @ SY1389 )
| ( member @ SV120 @ universal_class @ SY1389 ) ) )
= $false )
| ( ( ! [SY1390: mworld] :
( ~ ( mrel @ SV199 @ SY1390 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SY1390 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(970,plain,
! [SV39: mworld,SV275: $i,SV121: $i,SV339: mworld,SV200: mworld] :
( ( ( ~ ( mrel @ SV200 @ SV339 )
| ! [SY2133: $i,SY2134: mworld] :
( ~ ( mrel @ SV339 @ SY2134 )
| ~ ~ ( ~ ! [SY1822: mworld] :
( ~ ( mrel @ SY2134 @ SY1822 )
| ( qmltpeq @ SV121 @ SV275 @ SY1822 ) )
| ~ ! [SY883: mworld] :
( ~ ( mrel @ SY2134 @ SY883 )
| ( subclass @ SY2133 @ SV121 @ SY883 ) ) )
| ! [SY1824: mworld] :
( ~ ( mrel @ SY2134 @ SY1824 )
| ( subclass @ SY2133 @ SV275 @ SY1824 ) ) ) )
= $true )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(971,plain,
! [SV40: mworld,SV276: $i,SV122: $i,SV340: mworld,SV201: mworld] :
( ( ( ~ ( mrel @ SV201 @ SV340 )
| ! [SY2138: $i,SY2139: mworld] :
( ~ ( mrel @ SV340 @ SY2139 )
| ~ ! [SY1828: mworld] :
( ~ ( mrel @ SY2139 @ SY1828 )
| ( qmltpeq @ SV122 @ SV276 @ SY1828 ) )
| ! [SY1829: mworld] :
( ~ ( mrel @ SY2139 @ SY1829 )
| ( qmltpeq @ ( ordered_pair @ SY2138 @ SV122 ) @ ( ordered_pair @ SY2138 @ SV276 ) @ SY1829 ) ) ) )
= $true )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(972,plain,
! [SV41: mworld,SV277: $i,SV123: $i,SV341: mworld,SV202: mworld] :
( ( ( ~ ( mrel @ SV202 @ SV341 )
| ! [SY2142: $i,SY2143: mworld] :
( ~ ( mrel @ SV341 @ SY2143 )
| ~ ! [SY1833: mworld] :
( ~ ( mrel @ SY2143 @ SY1833 )
| ( qmltpeq @ SV123 @ SV277 @ SY1833 ) )
| ! [SY1834: mworld] :
( ~ ( mrel @ SY2143 @ SY1834 )
| ( qmltpeq @ ( image @ SY2142 @ SV123 ) @ ( image @ SY2142 @ SV277 ) @ SY1834 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(973,plain,
! [SV42: mworld,SV278: $i,SV124: $i,SV342: mworld,SV203: mworld] :
( ( ( ~ ( mrel @ SV203 @ SV342 )
| ! [SY2146: $i,SY2147: mworld] :
( ~ ( mrel @ SV342 @ SY2147 )
| ~ ~ ( ~ ! [SY1838: mworld] :
( ~ ( mrel @ SY2147 @ SY1838 )
| ( qmltpeq @ SV124 @ SV278 @ SY1838 ) )
| ~ ! [SY905: mworld] :
( ~ ( mrel @ SY2147 @ SY905 )
| ( member @ SV124 @ SY2146 @ SY905 ) ) )
| ! [SY1840: mworld] :
( ~ ( mrel @ SY2147 @ SY1840 )
| ( member @ SV278 @ SY2146 @ SY1840 ) ) ) )
= $true )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(974,plain,
! [SV43: mworld,SV125: $i,SV204: mworld] :
( ( ( ! [SY1417: mworld] :
( ~ ( mrel @ SV204 @ SY1417 )
| ( member @ SV125 @ universal_class @ SY1417 ) ) )
= $false )
| ( ( ! [SY1418: mworld] :
( ~ ( mrel @ SV204 @ SY1418 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SY1418 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(975,plain,
! [SV44: mworld,SV279: $i,SV126: $i,SV343: mworld,SV205: mworld] :
( ( ( ~ ( mrel @ SV205 @ SV343 )
| ! [SY2151: $i,SY2152: mworld] :
( ~ ( mrel @ SV343 @ SY2152 )
| ~ ! [SY1844: mworld] :
( ~ ( mrel @ SY2152 @ SY1844 )
| ( qmltpeq @ SV126 @ SV279 @ SY1844 ) )
| ! [SY1845: mworld] :
( ~ ( mrel @ SY2152 @ SY1845 )
| ( qmltpeq @ ( intersection @ SY2151 @ SV126 ) @ ( intersection @ SY2151 @ SV279 ) @ SY1845 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(976,plain,
! [SV45: mworld,SV280: $i,SV127: $i,SV344: mworld,SV206: mworld] :
( ( ( ~ ( mrel @ SV206 @ SV344 )
| ~ ~ ( ~ ! [SY2155: mworld] :
( ~ ( mrel @ SV344 @ SY2155 )
| ( qmltpeq @ SV127 @ SV280 @ SY2155 ) )
| ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
| ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(977,plain,
! [SV46: mworld,SV281: $i,SV128: $i,SV345: mworld,SV207: mworld] :
( ( ( ~ ( mrel @ SV207 @ SV345 )
| ! [SY2158: $i,SY2159: mworld] :
( ~ ( mrel @ SV345 @ SY2159 )
| ~ ~ ( ~ ! [SY1853: mworld] :
( ~ ( mrel @ SY2159 @ SY1853 )
| ( qmltpeq @ SV128 @ SV281 @ SY1853 ) )
| ~ ! [SY929: mworld] :
( ~ ( mrel @ SY2159 @ SY929 )
| ( disjoint @ SV128 @ SY2158 @ SY929 ) ) )
| ! [SY1855: mworld] :
( ~ ( mrel @ SY2159 @ SY1855 )
| ( disjoint @ SV281 @ SY2158 @ SY1855 ) ) ) )
= $true )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(978,plain,
! [SV242: mworld] :
( ( ( mrel @ mactual @ SV242 )
= $false )
| ( ( function @ sK1_SX0 @ SV242 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(979,plain,
! [SV243: mworld] :
( ( ( mrel @ mactual @ SV243 )
= $false )
| ( ( ! [SY1650: $i,SY1651: mworld] :
( ~ ( mrel @ SV243 @ SY1651 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY1651 @ SX4 )
| ( member @ SY1650 @ universal_class @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY1651 @ SX4 )
| ( qmltpeq @ SY1650 @ null_class @ SX4 ) )
| ! [SY636: mworld] :
( ~ ( mrel @ SY1651 @ SY636 )
| ( member @ ( apply @ sK1_SX0 @ SY1650 ) @ SY1650 @ SY636 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(980,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV209: mworld] :
( ( ( ~ ! [SY1856: mworld] :
( ~ ( mrel @ SV209 @ SY1856 )
| ~ ! [SY1857: mworld] :
( ~ ( mrel @ SY1856 @ SY1857 )
| ( qmltpeq @ SV130 @ SV282 @ SY1857 ) )
| ~ ( ~ ! [SY1858: mworld] :
( ~ ( mrel @ SY1856 @ SY1858 )
| ( subclass @ SV130 @ SV282 @ SY1858 ) )
| ~ ! [SY1859: mworld] :
( ~ ( mrel @ SY1856 @ SY1859 )
| ( subclass @ SV282 @ SV130 @ SY1859 ) ) ) )
| ~ ! [SY1860: mworld] :
( ~ ( mrel @ SV209 @ SY1860 )
| ~ ~ ( ~ ! [SY1861: mworld] :
( ~ ( mrel @ SY1860 @ SY1861 )
| ( subclass @ SV130 @ SV282 @ SY1861 ) )
| ~ ! [SY1862: mworld] :
( ~ ( mrel @ SY1860 @ SY1862 )
| ( subclass @ SV282 @ SV130 @ SY1862 ) ) )
| ! [SY1863: mworld] :
( ~ ( mrel @ SY1860 @ SY1863 )
| ( qmltpeq @ SV130 @ SV282 @ SY1863 ) ) ) )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(981,plain,
! [SV50: mworld,SV283: $i,SV132: $i,SV346: mworld,SV211: mworld] :
( ( ( ~ ( mrel @ SV211 @ SV346 )
| ~ ! [SY2163: mworld] :
( ~ ( mrel @ SV346 @ SY2163 )
| ( qmltpeq @ SV132 @ SV283 @ SY2163 ) )
| ! [SY2164: mworld] :
( ~ ( mrel @ SV346 @ SY2164 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SY2164 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(982,plain,
! [SV51: mworld,SV284: $i,SV133: $i,SV347: mworld,SV212: mworld] :
( ( ( ~ ( mrel @ SV212 @ SV347 )
| ~ ! [SY2165: mworld] :
( ~ ( mrel @ SV347 @ SY2165 )
| ( qmltpeq @ SV133 @ SV284 @ SY2165 ) )
| ! [SY2166: mworld] :
( ~ ( mrel @ SV347 @ SY2166 )
| ( qmltpeq @ SV284 @ SV133 @ SY2166 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(983,plain,
! [SV244: mworld] :
( ( ( mrel @ mactual @ SV244 )
= $false )
| ( ( member @ sK3_SX0 @ universal_class @ SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(984,plain,
( ( ! [SY640: mworld] :
( ~ ( mrel @ mactual @ SY640 )
| ( inductive @ sK3_SX0 @ SY640 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[906]) ).
thf(985,plain,
( ( ! [SY641: mworld] :
( ~ ( mrel @ mactual @ SY641 )
| ! [SY642: $i,SY643: mworld] :
( ~ ( mrel @ SY641 @ SY643 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY643 @ SX4 )
| ( inductive @ SY642 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY643 @ SY645 )
| ( subclass @ sK3_SX0 @ SY642 @ SY645 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(986,plain,
! [SV52: mworld,SV285: $i,SV134: $i,SV348: mworld,SV213: mworld] :
( ( ( ~ ( mrel @ SV213 @ SV348 )
| ~ ! [SY2167: mworld] :
( ~ ( mrel @ SV348 @ SY2167 )
| ( qmltpeq @ SV134 @ SV285 @ SY2167 ) )
| ! [SY2168: mworld] :
( ~ ( mrel @ SV348 @ SY2168 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SY2168 ) ) )
= $true )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(987,plain,
! [SV135: $i,SV53: mworld,SV214: mworld] :
( ( ( ~ ( mrel @ SV214 @ ( sK6_SY1458 @ SV53 @ SV135 @ SV214 ) )
| ( member @ SV135 @ null_class @ ( sK6_SY1458 @ SV53 @ SV135 @ SV214 ) ) )
= $false )
| ( ( mrel @ SV53 @ SV214 )
= $false )
| ( ( mrel @ mactual @ SV53 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[909]) ).
thf(988,plain,
! [SV54: mworld,SV286: $i,SV136: $i,SV349: mworld,SV215: mworld] :
( ( ( ~ ( mrel @ SV215 @ SV349 )
| ! [SY2169: $i,SY2170: mworld] :
( ~ ( mrel @ SV349 @ SY2170 )
| ~ ~ ( ~ ! [SY1876: mworld] :
( ~ ( mrel @ SY2170 @ SY1876 )
| ( qmltpeq @ SV136 @ SV286 @ SY1876 ) )
| ~ ! [SY967: mworld] :
( ~ ( mrel @ SY2170 @ SY967 )
| ( disjoint @ SY2169 @ SV136 @ SY967 ) ) )
| ! [SY1878: mworld] :
( ~ ( mrel @ SY2170 @ SY1878 )
| ( disjoint @ SY2169 @ SV286 @ SY1878 ) ) ) )
= $true )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(989,plain,
! [SV137: $i,SV287: mworld,SV55: mworld] :
( ( ( ~ ( mrel @ SV55 @ SV287 ) )
= $true )
| ( ( ~ ! [SY1879: mworld] :
( ~ ( mrel @ SV287 @ SY1879 )
| ( function @ SV137 @ SY1879 ) )
| ~ ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(990,plain,
! [SV137: $i,SV288: mworld,SV55: mworld] :
( ( ( ~ ( mrel @ SV55 @ SV288 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1882: mworld] :
( ~ ( mrel @ SV288 @ SY1882 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1882 ) )
| ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
| ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[912]) ).
thf(991,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV216: mworld] :
( ( ( ~ ! [SY1885: mworld] :
( ~ ( mrel @ SV216 @ SY1885 )
| ~ ! [SY1886: mworld] :
( ~ ( mrel @ SY1885 @ SY1886 )
| ( disjoint @ SV138 @ SV289 @ SY1886 ) )
| ! [SY1887: mworld] :
( ~ ( mrel @ SY1885 @ SY1887 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY1887 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
| ~ ! [SY1892: mworld] :
( ~ ( mrel @ SV216 @ SY1892 )
| ~ ! [SY1893: mworld] :
( ~ ( mrel @ SY1892 @ SY1893 )
| ! [SY1894: $i,SY1895: mworld] :
( ~ ( mrel @ SY1893 @ SY1895 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY1895 @ SY990 )
| ( member @ SY1894 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY1895 @ SY1897 )
| ( member @ SY1894 @ SV289 @ SY1897 ) ) ) ) )
| ! [SY1898: mworld] :
( ~ ( mrel @ SY1892 @ SY1898 )
| ( disjoint @ SV138 @ SV289 @ SY1898 ) ) ) )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(992,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV217: mworld] :
( ( ( ~ ! [SY1899: mworld] :
( ~ ( mrel @ SV217 @ SY1899 )
| ~ ! [SY1900: mworld] :
( ~ ( mrel @ SY1899 @ SY1900 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY1900 ) )
| ~ ( ~ ! [SY997: mworld] :
( ~ ( mrel @ SY1899 @ SY997 )
| ( member @ SV139 @ universal_class @ SY997 ) )
| ~ ~ ( ~ ! [SY1902: mworld] :
( ~ ( mrel @ SY1899 @ SY1902 )
| ( member @ SV290 @ universal_class @ SY1902 ) )
| ~ ! [SY1903: mworld] :
( ~ ( mrel @ SY1899 @ SY1903 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY1903 ) ) ) ) )
| ~ ! [SY1904: mworld] :
( ~ ( mrel @ SV217 @ SY1904 )
| ~ ~ ( ~ ! [SY1001: mworld] :
( ~ ( mrel @ SY1904 @ SY1001 )
| ( member @ SV139 @ universal_class @ SY1001 ) )
| ~ ~ ( ~ ! [SY1906: mworld] :
( ~ ( mrel @ SY1904 @ SY1906 )
| ( member @ SV290 @ universal_class @ SY1906 ) )
| ~ ! [SY1907: mworld] :
( ~ ( mrel @ SY1904 @ SY1907 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY1907 ) ) ) )
| ! [SY1908: mworld] :
( ~ ( mrel @ SY1904 @ SY1908 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY1908 ) ) ) )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(993,plain,
! [SV58: mworld,SV291: $i,SV140: $i,SV350: mworld,SV218: mworld] :
( ( ( ~ ( mrel @ SV218 @ SV350 )
| ! [SY2174: $i] :
~ ( ~ ! [SY2175: mworld] :
( ~ ( mrel @ SV350 @ SY2175 )
| ~ ! [SY1912: mworld] :
( ~ ( mrel @ SY2175 @ SY1912 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SY2174 ) @ SY1912 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY2175 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1914: mworld] :
( ~ ( mrel @ SY2175 @ SY1914 )
| ( qmltpeq @ SV140 @ SV291 @ SY1914 ) )
| ! [SY1013: mworld] :
( ~ ( mrel @ SY2175 @ SY1013 )
| ( qmltpeq @ SV140 @ SY2174 @ SY1013 ) ) ) ) )
| ~ ! [SY2180: mworld] :
( ~ ( mrel @ SV350 @ SY2180 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY2180 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1918: mworld] :
( ~ ( mrel @ SY2180 @ SY1918 )
| ( qmltpeq @ SV140 @ SV291 @ SY1918 ) )
| ! [SY1017: mworld] :
( ~ ( mrel @ SY2180 @ SY1017 )
| ( qmltpeq @ SV140 @ SY2174 @ SY1017 ) ) ) )
| ! [SY1920: mworld] :
( ~ ( mrel @ SY2180 @ SY1920 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SY2174 ) @ SY1920 ) ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(994,plain,
! [SV60: mworld,SV292: $i,SV141: $i,SV351: mworld,SV219: mworld] :
( ( ( ~ ( mrel @ SV219 @ SV351 )
| ! [SY2185: $i,SY2186: mworld] :
( ~ ( mrel @ SV351 @ SY2186 )
| ~ ! [SY1924: mworld] :
( ~ ( mrel @ SY2186 @ SY1924 )
| ( member @ SY2185 @ ( cross_product @ SV141 @ SV292 ) @ SY1924 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2186 @ SX7 )
| ( qmltpeq @ SY2185 @ ( ordered_pair @ ( first @ SY2185 ) @ ( second @ SY2185 ) ) @ SX7 ) ) ) )
= $true )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(995,plain,
! [SV142: $i,SV293: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV293 ) )
= $true )
| ( ( ~ ! [SY1926: mworld] :
( ~ ( mrel @ SV293 @ SY1926 )
| ( inductive @ SV142 @ SY1926 ) )
| ~ ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[917]) ).
thf(996,plain,
! [SV142: $i,SV294: mworld,SV61: mworld] :
( ( ( ~ ( mrel @ SV61 @ SV294 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY1929: mworld] :
( ~ ( mrel @ SV294 @ SY1929 )
| ( member @ null_class @ SV142 @ SY1929 ) )
| ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
| ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(997,plain,
! [SV62: mworld,SV143: $i,SV295: $i,SV352: mworld,SV220: mworld] :
( ( ( ~ ( mrel @ SV220 @ SV352 )
| ! [SY2189: $i,SY2190: mworld] :
( ~ ( mrel @ SV352 @ SY2190 )
| ! [SY1935: $i] :
~ ( ~ ! [SY1936: mworld] :
( ~ ( mrel @ SY2190 @ SY1936 )
| ~ ! [SY1937: mworld] :
( ~ ( mrel @ SY1936 @ SY1937 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( rotate @ SV143 ) @ SY1937 ) )
| ~ ( ~ ! [SY1938: mworld] :
( ~ ( mrel @ SY1936 @ SY1938 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1938 ) )
| ~ ! [SY1939: mworld] :
( ~ ( mrel @ SY1936 @ SY1939 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY2189 @ SY1935 ) @ SV295 ) @ SV143 @ SY1939 ) ) ) )
| ~ ! [SY1940: mworld] :
( ~ ( mrel @ SY2190 @ SY1940 )
| ~ ~ ( ~ ! [SY1941: mworld] :
( ~ ( mrel @ SY1940 @ SY1941 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1941 ) )
| ~ ! [SY1942: mworld] :
( ~ ( mrel @ SY1940 @ SY1942 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY2189 @ SY1935 ) @ SV295 ) @ SV143 @ SY1942 ) ) )
| ! [SY1943: mworld] :
( ~ ( mrel @ SY1940 @ SY1943 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( rotate @ SV143 ) @ SY1943 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(998,plain,
! [SV63: mworld,SV296: $i,SV144: $i,SV353: mworld,SV221: mworld] :
( ( ( ~ ( mrel @ SV221 @ SV353 )
| ~ ! [SY2200: mworld] :
( ~ ( mrel @ SV353 @ SY2200 )
| ( qmltpeq @ SV144 @ SV296 @ SY2200 ) )
| ! [SY2201: mworld] :
( ~ ( mrel @ SV353 @ SY2201 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SY2201 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(999,plain,
! [SV64: mworld,SV145: $i,SV222: mworld] :
( ( ( ! [SY1528: mworld] :
( ~ ( mrel @ SV222 @ SY1528 )
| ~ ! [SY1055: mworld] :
( ~ ( mrel @ SY1528 @ SY1055 )
| ( qmltpeq @ SV145 @ null_class @ SY1055 ) ) ) )
= $false )
| ( ( ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(1000,plain,
! [SV65: mworld,SV297: $i,SV146: $i,SV223: mworld] :
( ( ( ~ ! [SY1947: mworld] :
( ~ ( mrel @ SV223 @ SY1947 )
| ~ ! [SY1948: mworld] :
( ~ ( mrel @ SY1947 @ SY1948 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY1948 ) )
| ~ ( ~ ! [SY1949: mworld] :
( ~ ( mrel @ SY1947 @ SY1949 )
| ( member @ SV297 @ universal_class @ SY1949 ) )
| ~ ! [SY1950: mworld] :
( ~ ( mrel @ SY1947 @ SY1950 )
| ( member @ SV146 @ SV297 @ SY1950 ) ) ) )
| ~ ! [SY1951: mworld] :
( ~ ( mrel @ SV223 @ SY1951 )
| ~ ~ ( ~ ! [SY1952: mworld] :
( ~ ( mrel @ SY1951 @ SY1952 )
| ( member @ SV297 @ universal_class @ SY1952 ) )
| ~ ! [SY1953: mworld] :
( ~ ( mrel @ SY1951 @ SY1953 )
| ( member @ SV146 @ SV297 @ SY1953 ) ) )
| ! [SY1954: mworld] :
( ~ ( mrel @ SY1951 @ SY1954 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY1954 ) ) ) )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1001,plain,
! [SV66: mworld,SV298: $i,SV147: $i,SV354: mworld,SV224: mworld] :
( ( ( ~ ( mrel @ SV224 @ SV354 )
| ! [SY2202: $i,SY2203: mworld] :
( ~ ( mrel @ SV354 @ SY2203 )
| ~ ! [SY1958: mworld] :
( ~ ( mrel @ SY2203 @ SY1958 )
| ( qmltpeq @ SV147 @ SV298 @ SY1958 ) )
| ! [SY1959: mworld] :
( ~ ( mrel @ SY2203 @ SY1959 )
| ( qmltpeq @ ( unordered_pair @ SY2202 @ SV147 ) @ ( unordered_pair @ SY2202 @ SV298 ) @ SY1959 ) ) ) )
= $true )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1002,plain,
! [SV68: mworld,SV299: $i,SV149: $i,SV355: mworld,SV226: mworld] :
( ( ( ~ ( mrel @ SV226 @ SV355 )
| ! [SY2206: $i,SY2207: mworld] :
( ~ ( mrel @ SV355 @ SY2207 )
| ~ ! [SY1963: mworld] :
( ~ ( mrel @ SY2207 @ SY1963 )
| ( qmltpeq @ SV149 @ SV299 @ SY1963 ) )
| ! [SY1964: mworld] :
( ~ ( mrel @ SY2207 @ SY1964 )
| ( qmltpeq @ ( image @ SV149 @ SY2206 ) @ ( image @ SV299 @ SY2206 ) @ SY1964 ) ) ) )
= $true )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(1003,plain,
! [SV69: mworld,SV300: $i,SV150: $i,SV356: mworld,SV227: mworld] :
( ( ( ~ ( mrel @ SV227 @ SV356 )
| ! [SY2210: $i,SY2211: mworld] :
( ~ ( mrel @ SV356 @ SY2211 )
| ~ ! [SY1968: mworld] :
( ~ ( mrel @ SY2211 @ SY1968 )
| ( qmltpeq @ SV150 @ SV300 @ SY1968 ) )
| ! [SY1969: mworld] :
( ~ ( mrel @ SY2211 @ SY1969 )
| ( qmltpeq @ ( cross_product @ SV150 @ SY2210 ) @ ( cross_product @ SV300 @ SY2210 ) @ SY1969 ) ) ) )
= $true )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1004,plain,
! [SV70: mworld,SV301: $i,SV151: $i,SV357: mworld,SV228: mworld] :
( ( ( ~ ( mrel @ SV228 @ SV357 )
| ! [SY2214: $i,SY2215: mworld] :
( ~ ( mrel @ SV357 @ SY2215 )
| ~ ! [SY1973: mworld] :
( ~ ( mrel @ SY2215 @ SY1973 )
| ( qmltpeq @ SV151 @ SV301 @ SY1973 ) )
| ! [SY1974: mworld] :
( ~ ( mrel @ SY2215 @ SY1974 )
| ( qmltpeq @ ( union @ SV151 @ SY2214 ) @ ( union @ SV301 @ SY2214 ) @ SY1974 ) ) ) )
= $true )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(1005,plain,
! [SV71: mworld,SV302: $i,SV152: $i,SV358: mworld,SV229: mworld] :
( ( ( ~ ( mrel @ SV229 @ SV358 )
| ! [SY2218: $i,SY2219: mworld] :
( ~ ( mrel @ SV358 @ SY2219 )
| ~ ~ ( ~ ! [SY1978: mworld] :
( ~ ( mrel @ SY2219 @ SY1978 )
| ( qmltpeq @ SV152 @ SV302 @ SY1978 ) )
| ~ ! [SY1105: mworld] :
( ~ ( mrel @ SY2219 @ SY1105 )
| ( member @ SY2218 @ SV152 @ SY1105 ) ) )
| ! [SY1980: mworld] :
( ~ ( mrel @ SY2219 @ SY1980 )
| ( member @ SY2218 @ SV302 @ SY1980 ) ) ) )
= $true )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1006,plain,
! [SV73: mworld,SV303: $i,SV154: $i,SV359: mworld,SV231: mworld] :
( ( ( ~ ( mrel @ SV231 @ SV359 )
| ( qmltpeq @ ( ordered_pair @ SV154 @ SV303 ) @ ( unordered_pair @ ( singleton @ SV154 ) @ ( unordered_pair @ SV154 @ ( singleton @ SV303 ) ) ) @ SV359 ) )
= $true )
| ( ( mrel @ SV73 @ SV231 )
= $false )
| ( ( mrel @ mactual @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(1007,plain,
! [SV74: mworld,SV304: $i,SV155: $i,SV360: mworld,SV232: mworld] :
( ( ( ~ ( mrel @ SV232 @ SV360 )
| ! [SY2223: $i,SY2224: mworld] :
( ~ ( mrel @ SV360 @ SY2224 )
| ~ ! [SY1985: mworld] :
( ~ ( mrel @ SY2224 @ SY1985 )
| ( qmltpeq @ SV155 @ SV304 @ SY1985 ) )
| ! [SY1986: mworld] :
( ~ ( mrel @ SY2224 @ SY1986 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SY2223 ) @ ( unordered_pair @ SV304 @ SY2223 ) @ SY1986 ) ) ) )
= $true )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1008,plain,
! [SV75: mworld,SV156: $i,SV305: $i,SV361: mworld,SV233: mworld] :
( ( ( ~ ( mrel @ SV233 @ SV361 )
| ( qmltpeq @ ( image @ SV305 @ SV156 ) @ ( range_of @ ( restrict @ SV305 @ SV156 @ universal_class ) ) @ SV361 ) )
= $true )
| ( ( mrel @ SV75 @ SV233 )
= $false )
| ( ( mrel @ mactual @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(1009,plain,
! [SV76: mworld,SV306: $i,SV157: $i,SV362: mworld,SV234: mworld] :
( ( ( ~ ( mrel @ SV234 @ SV362 )
| ! [SY2227: $i,SY2228: mworld] :
( ~ ( mrel @ SV362 @ SY2228 )
| ! [SY1991: $i] :
~ ( ~ ! [SY1992: mworld] :
( ~ ( mrel @ SY2228 @ SY1992 )
| ~ ! [SY1993: mworld] :
( ~ ( mrel @ SY1992 @ SY1993 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( flip @ SY1991 ) @ SY1993 ) )
| ~ ( ~ ! [SY1994: mworld] :
( ~ ( mrel @ SY1992 @ SY1994 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1994 ) )
| ~ ! [SY1995: mworld] :
( ~ ( mrel @ SY1992 @ SY1995 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SY2227 ) @ SY1991 @ SY1995 ) ) ) )
| ~ ! [SY1996: mworld] :
( ~ ( mrel @ SY2228 @ SY1996 )
| ~ ~ ( ~ ! [SY1997: mworld] :
( ~ ( mrel @ SY1996 @ SY1997 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1997 ) )
| ~ ! [SY1998: mworld] :
( ~ ( mrel @ SY1996 @ SY1998 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SY2227 ) @ SY1991 @ SY1998 ) ) )
| ! [SY1999: mworld] :
( ~ ( mrel @ SY1996 @ SY1999 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( flip @ SY1991 ) @ SY1999 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1010,plain,
! [SV77: mworld,SV158: $i,SV307: $i,SV363: mworld,SV235: mworld] :
( ( ( ~ ( mrel @ SV235 @ SV363 )
| ! [SY2238: $i,SY2239: mworld] :
( ~ ( mrel @ SV363 @ SY2239 )
| ! [SY2003: $i] :
~ ( ~ ! [SY2004: mworld] :
( ~ ( mrel @ SY2239 @ SY2004 )
| ~ ! [SY2005: mworld] :
( ~ ( mrel @ SY2004 @ SY2005 )
| ( member @ ( ordered_pair @ SY2238 @ SY2003 ) @ ( compose @ SV307 @ SV158 ) @ SY2005 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY2004 @ SX9 )
| ( member @ SY2238 @ universal_class @ SX9 ) )
| ~ ! [SY2007: mworld] :
( ~ ( mrel @ SY2004 @ SY2007 )
| ( member @ SY2003 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SY2238 ) ) ) @ SY2007 ) ) ) )
| ~ ! [SY2008: mworld] :
( ~ ( mrel @ SY2239 @ SY2008 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY2008 @ SX9 )
| ( member @ SY2238 @ universal_class @ SX9 ) )
| ~ ! [SY2010: mworld] :
( ~ ( mrel @ SY2008 @ SY2010 )
| ( member @ SY2003 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SY2238 ) ) ) @ SY2010 ) ) )
| ! [SY2011: mworld] :
( ~ ( mrel @ SY2008 @ SY2011 )
| ( member @ ( ordered_pair @ SY2238 @ SY2003 ) @ ( compose @ SV307 @ SV158 ) @ SY2011 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(1011,plain,
! [SV78: mworld,SV308: $i,SV159: $i,SV364: mworld,SV236: mworld] :
( ( ( ~ ( mrel @ SV236 @ SV364 )
| ! [SY2249: $i,SY2250: mworld] :
( ~ ( mrel @ SV364 @ SY2250 )
| ! [SY2015: $i] :
~ ( ~ ! [SY2016: mworld] :
( ~ ( mrel @ SY2250 @ SY2016 )
| ~ ! [SY2017: mworld] :
( ~ ( mrel @ SY2016 @ SY2017 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SY2249 @ SY2015 ) @ SY2017 ) )
| ~ ( ~ ! [SY1157: mworld] :
( ~ ( mrel @ SY2016 @ SY1157 )
| ( member @ SV159 @ SY2249 @ SY1157 ) )
| ~ ! [SY2019: mworld] :
( ~ ( mrel @ SY2016 @ SY2019 )
| ( member @ SV308 @ SY2015 @ SY2019 ) ) ) )
| ~ ! [SY2020: mworld] :
( ~ ( mrel @ SY2250 @ SY2020 )
| ~ ~ ( ~ ! [SY1160: mworld] :
( ~ ( mrel @ SY2020 @ SY1160 )
| ( member @ SV159 @ SY2249 @ SY1160 ) )
| ~ ! [SY2022: mworld] :
( ~ ( mrel @ SY2020 @ SY2022 )
| ( member @ SV308 @ SY2015 @ SY2022 ) ) )
| ! [SY2023: mworld] :
( ~ ( mrel @ SY2020 @ SY2023 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SY2249 @ SY2015 ) @ SY2023 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1012,plain,
! [SV79: mworld,SV309: $i,SV160: $i,SV365: mworld,SV237: mworld] :
( ( ( ~ ( mrel @ SV237 @ SV365 )
| ~ ! [SY2260: mworld] :
( ~ ( mrel @ SV365 @ SY2260 )
| ( qmltpeq @ SV160 @ SV309 @ SY2260 ) )
| ! [SY2261: mworld] :
( ~ ( mrel @ SV365 @ SY2261 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SY2261 ) ) )
= $true )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1013,plain,
! [SV80: mworld,SV310: $i,SV161: $i,SV366: mworld,SV238: mworld] :
( ( ( ~ ( mrel @ SV238 @ SV366 )
| ! [SY2262: $i] :
~ ( ~ ! [SY2263: mworld] :
( ~ ( mrel @ SV366 @ SY2263 )
| ~ ! [SY2030: mworld] :
( ~ ( mrel @ SY2263 @ SY2030 )
| ( member @ SY2262 @ ( intersection @ SV161 @ SV310 ) @ SY2030 ) )
| ~ ( ~ ! [SY1174: mworld] :
( ~ ( mrel @ SY2263 @ SY1174 )
| ( member @ SY2262 @ SV161 @ SY1174 ) )
| ~ ! [SY2032: mworld] :
( ~ ( mrel @ SY2263 @ SY2032 )
| ( member @ SY2262 @ SV310 @ SY2032 ) ) ) )
| ~ ! [SY2267: mworld] :
( ~ ( mrel @ SV366 @ SY2267 )
| ~ ~ ( ~ ! [SY1177: mworld] :
( ~ ( mrel @ SY2267 @ SY1177 )
| ( member @ SY2262 @ SV161 @ SY1177 ) )
| ~ ! [SY2035: mworld] :
( ~ ( mrel @ SY2267 @ SY2035 )
| ( member @ SY2262 @ SV310 @ SY2035 ) ) )
| ! [SY2036: mworld] :
( ~ ( mrel @ SY2267 @ SY2036 )
| ( member @ SY2262 @ ( intersection @ SV161 @ SV310 ) @ SY2036 ) ) ) ) )
= $true )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1014,plain,
! [SV81: mworld,SV311: $i,SV162: $i,SV367: mworld,SV239: mworld] :
( ( ( ~ ( mrel @ SV239 @ SV367 )
| ~ ! [SY2271: mworld] :
( ~ ( mrel @ SV367 @ SY2271 )
| ( qmltpeq @ SV162 @ SV311 @ SY2271 ) )
| ! [SY2272: mworld] :
( ~ ( mrel @ SV367 @ SY2272 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SY2272 ) ) )
= $true )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1015,plain,
! [SV82: mworld,SV312: $i,SV163: $i,SV368: mworld,SV240: mworld] :
( ( ( ~ ( mrel @ SV240 @ SV368 )
| ~ ! [SY2273: mworld] :
( ~ ( mrel @ SV368 @ SY2273 )
| ( qmltpeq @ SV163 @ SV312 @ SY2273 ) )
| ! [SY2274: mworld] :
( ~ ( mrel @ SV368 @ SY2274 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SY2274 ) ) )
= $true )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1016,plain,
! [SV83: mworld,SV313: $i,SV164: $i,SV369: mworld,SV241: mworld] :
( ( ( ~ ( mrel @ SV241 @ SV369 )
| ~ ! [SY2275: mworld] :
( ~ ( mrel @ SV369 @ SY2275 )
| ( qmltpeq @ SV164 @ SV313 @ SY2275 ) )
| ! [SY2276: mworld] :
( ~ ( mrel @ SV369 @ SY2276 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SY2276 ) ) )
= $true )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(1017,plain,
! [SV3: mworld,SV245: $i,SV86: $i,SV314: mworld,SV165: mworld] :
( ( ( ~ ( mrel @ SV165 @ SV314 ) )
= $true )
| ( ( ! [SY2046: $i,SY2047: mworld] :
( ~ ( mrel @ SV314 @ SY2047 )
| ! [SY1658: $i,SY1659: mworld] :
( ~ ( mrel @ SY2047 @ SY1659 )
| ~ ! [SY1660: mworld] :
( ~ ( mrel @ SY1659 @ SY1660 )
| ( qmltpeq @ SV86 @ SV245 @ SY1660 ) )
| ! [SY1661: mworld] :
( ~ ( mrel @ SY1659 @ SY1661 )
| ( qmltpeq @ ( restrict @ SY2046 @ SV86 @ SY1658 ) @ ( restrict @ SY2046 @ SV245 @ SY1658 ) @ SY1661 ) ) ) ) )
= $true )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(1018,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV166: mworld] :
( ( ( ~ ! [SY1662: mworld] :
( ~ ( mrel @ SV166 @ SY1662 )
| ~ ! [SY1663: mworld] :
( ~ ( mrel @ SY1662 @ SY1663 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY1663 ) )
| ~ ( ~ ! [SY1664: mworld] :
( ~ ( mrel @ SY1662 @ SY1664 )
| ( member @ SV246 @ universal_class @ SY1664 ) )
| ~ ! [SY1665: mworld] :
( ~ ( mrel @ SY1662 @ SY1665 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY1665 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) ) )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1019,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV166: mworld] :
( ( ( ~ ! [SY1667: mworld] :
( ~ ( mrel @ SV166 @ SY1667 )
| ~ ~ ( ~ ! [SY1668: mworld] :
( ~ ( mrel @ SY1667 @ SY1668 )
| ( member @ SV246 @ universal_class @ SY1668 ) )
| ~ ! [SY1669: mworld] :
( ~ ( mrel @ SY1667 @ SY1669 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY1669 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
| ! [SY1671: mworld] :
( ~ ( mrel @ SY1667 @ SY1671 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY1671 ) ) ) )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1020,plain,
! [SV5: mworld,SV247: $i,SV88: $i,SV315: mworld,SV167: mworld] :
( ( ( ~ ( mrel @ SV167 @ SV315 ) )
= $true )
| ( ( ! [SY2052: $i,SY2053: mworld] :
( ~ ( mrel @ SV315 @ SY2053 )
| ~ ! [SY1675: mworld] :
( ~ ( mrel @ SY2053 @ SY1675 )
| ( qmltpeq @ SV88 @ SV247 @ SY1675 ) )
| ! [SY1676: mworld] :
( ~ ( mrel @ SY2053 @ SY1676 )
| ( qmltpeq @ ( apply @ SV88 @ SY2052 ) @ ( apply @ SV247 @ SY2052 ) @ SY1676 ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1021,plain,
! [SV6: mworld,SV248: $i,SV89: $i,SV316: mworld,SV168: mworld] :
( ( ( ~ ( mrel @ SV168 @ SV316 ) )
= $true )
| ( ( ! [SY2056: $i,SY2057: mworld] :
( ~ ( mrel @ SV316 @ SY2057 )
| ! [SY1680: $i,SY1681: mworld] :
( ~ ( mrel @ SY2057 @ SY1681 )
| ~ ! [SY1682: mworld] :
( ~ ( mrel @ SY1681 @ SY1682 )
| ( qmltpeq @ SV89 @ SV248 @ SY1682 ) )
| ! [SY1683: mworld] :
( ~ ( mrel @ SY1681 @ SY1683 )
| ( qmltpeq @ ( restrict @ SV89 @ SY2056 @ SY1680 ) @ ( restrict @ SV248 @ SY2056 @ SY1680 ) @ SY1683 ) ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[942]) ).
thf(1022,plain,
! [SV7: mworld,SV249: $i,SV90: $i,SV317: mworld,SV169: mworld] :
( ( ( ~ ( mrel @ SV169 @ SV317 ) )
= $true )
| ( ( ! [SY2062: $i,SY2063: mworld] :
( ~ ( mrel @ SV317 @ SY2063 )
| ~ ! [SY1687: mworld] :
( ~ ( mrel @ SY2063 @ SY1687 )
| ( qmltpeq @ SV90 @ SV249 @ SY1687 ) )
| ! [SY1688: mworld] :
( ~ ( mrel @ SY2063 @ SY1688 )
| ( qmltpeq @ ( compose @ SY2062 @ SV90 ) @ ( compose @ SY2062 @ SV249 ) @ SY1688 ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(1023,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV170: mworld] :
( ( ( ~ ! [SY1689: mworld] :
( ~ ( mrel @ SV170 @ SY1689 )
| ~ ! [SY1690: mworld] :
( ~ ( mrel @ SY1689 @ SY1690 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY1690 ) )
| ~ ! [SY1691: $i] :
~ ~ ( ~ ! [SY695: mworld] :
( ~ ( mrel @ SY1689 @ SY695 )
| ( member @ SV91 @ SY1691 @ SY695 ) )
| ~ ! [SY1693: mworld] :
( ~ ( mrel @ SY1689 @ SY1693 )
| ( member @ SY1691 @ SV250 @ SY1693 ) ) ) ) )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(1024,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV170: mworld] :
( ( ( ~ ! [SY1694: mworld] :
( ~ ( mrel @ SV170 @ SY1694 )
| ~ ~ ! [SY1695: $i] :
~ ~ ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SY1694 @ SY699 )
| ( member @ SV91 @ SY1695 @ SY699 ) )
| ~ ! [SY1697: mworld] :
( ~ ( mrel @ SY1694 @ SY1697 )
| ( member @ SY1695 @ SV250 @ SY1697 ) ) )
| ! [SY1698: mworld] :
( ~ ( mrel @ SY1694 @ SY1698 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY1698 ) ) ) )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(1025,plain,
! [SV9: mworld,SV251: $i,SV92: $i,SV318: mworld,SV171: mworld] :
( ( ( ~ ( mrel @ SV171 @ SV318 ) )
= $true )
| ( ( ~ ! [SY2066: mworld] :
( ~ ( mrel @ SV318 @ SY2066 )
| ( qmltpeq @ SV92 @ SV251 @ SY2066 ) )
| ! [SY2067: mworld] :
( ~ ( mrel @ SV318 @ SY2067 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SY2067 ) ) )
= $true )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(1026,plain,
! [SV10: mworld,SV252: $i,SV93: $i,SV319: mworld,SV172: mworld] :
( ( ( ~ ( mrel @ SV172 @ SV319 ) )
= $true )
| ( ( qmltpeq @ ( apply @ SV93 @ SV252 ) @ ( sum_class @ ( image @ SV93 @ ( singleton @ SV252 ) ) ) @ SV319 )
= $true )
| ( ( mrel @ SV10 @ SV172 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(1027,plain,
! [SV11: mworld,SV94: $i,SV253: $i,SV320: mworld,SV173: mworld] :
( ( ( ~ ( mrel @ SV173 @ SV320 ) )
= $true )
| ( ( ! [SY2068: $i,SY2069: mworld] :
( ~ ( mrel @ SV320 @ SY2069 )
| ( qmltpeq @ ( restrict @ SV253 @ SV94 @ SY2068 ) @ ( intersection @ SV253 @ ( cross_product @ SV94 @ SY2068 ) ) @ SY2069 ) ) )
= $true )
| ( ( mrel @ SV11 @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[947]) ).
thf(1028,plain,
! [SV13: mworld,SV254: $i,SV96: $i,SV321: mworld,SV175: mworld] :
( ( ( ~ ( mrel @ SV175 @ SV321 ) )
= $true )
| ( ( ! [SY2070: $i,SY2071: mworld] :
( ~ ( mrel @ SV321 @ SY2071 )
| ~ ! [SY1709: mworld] :
( ~ ( mrel @ SY2071 @ SY1709 )
| ( qmltpeq @ SV96 @ SV254 @ SY1709 ) )
| ! [SY1710: mworld] :
( ~ ( mrel @ SY2071 @ SY1710 )
| ( qmltpeq @ ( union @ SY2070 @ SV96 ) @ ( union @ SY2070 @ SV254 ) @ SY1710 ) ) ) )
= $true )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[948]) ).
thf(1029,plain,
! [SV14: mworld,SV255: $i,SV97: $i,SV322: mworld,SV176: mworld] :
( ( ( ~ ( mrel @ SV176 @ SV322 ) )
= $true )
| ( ( ~ ! [SY2074: mworld] :
( ~ ( mrel @ SV322 @ SY2074 )
| ( qmltpeq @ SV97 @ SV255 @ SY2074 ) )
| ! [SY2075: mworld] :
( ~ ( mrel @ SV322 @ SY2075 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SY2075 ) ) )
= $true )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1030,plain,
! [SV15: mworld,SV256: $i,SV98: $i,SV323: mworld,SV177: mworld] :
( ( ( ~ ( mrel @ SV177 @ SV323 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2076: mworld] :
( ~ ( mrel @ SV323 @ SY2076 )
| ( member @ SV98 @ universal_class @ SY2076 ) )
| ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
| ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1031,plain,
! [SV16: mworld,SV257: $i,SV99: $i,SV324: mworld,SV178: mworld] :
( ( ( ~ ( mrel @ SV178 @ SV324 ) )
= $true )
| ( ( member @ ( unordered_pair @ SV99 @ SV257 ) @ universal_class @ SV324 )
= $true )
| ( ( mrel @ SV16 @ SV178 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1032,plain,
! [SV17: mworld,SV258: $i,SV100: $i,SV325: mworld,SV179: mworld] :
( ( ( ~ ( mrel @ SV179 @ SV325 ) )
= $true )
| ( ( ~ ! [SY2079: mworld] :
( ~ ( mrel @ SV325 @ SY2079 )
| ( qmltpeq @ SV100 @ SV258 @ SY2079 ) )
| ! [SY2080: mworld] :
( ~ ( mrel @ SV325 @ SY2080 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SY2080 ) ) )
= $true )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(1033,plain,
! [SV20: mworld,SV259: $i,SV103: $i,SV326: mworld,SV182: mworld] :
( ( ( ~ ( mrel @ SV182 @ SV326 ) )
= $true )
| ( ( ! [SY2081: $i] :
~ ( ~ ! [SY2082: mworld] :
( ~ ( mrel @ SV326 @ SY2082 )
| ~ ! [SY1725: mworld] :
( ~ ( mrel @ SY2082 @ SY1725 )
| ( member @ SY2081 @ ( union @ SV103 @ SV259 ) @ SY1725 ) )
| ! [SY750: mworld] :
( ~ ( mrel @ SY2082 @ SY750 )
| ( member @ SY2081 @ SV103 @ SY750 ) )
| ! [SY1727: mworld] :
( ~ ( mrel @ SY2082 @ SY1727 )
| ( member @ SY2081 @ SV259 @ SY1727 ) ) )
| ~ ! [SY2086: mworld] :
( ~ ( mrel @ SV326 @ SY2086 )
| ~ ( ! [SY753: mworld] :
( ~ ( mrel @ SY2086 @ SY753 )
| ( member @ SY2081 @ SV103 @ SY753 ) )
| ! [SY1730: mworld] :
( ~ ( mrel @ SY2086 @ SY1730 )
| ( member @ SY2081 @ SV259 @ SY1730 ) ) )
| ! [SY1731: mworld] :
( ~ ( mrel @ SY2086 @ SY1731 )
| ( member @ SY2081 @ ( union @ SV103 @ SV259 ) @ SY1731 ) ) ) ) )
= $true )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(1034,plain,
! [SV21: mworld,SV260: $i,SV104: $i,SV327: mworld,SV183: mworld] :
( ( ( ~ ( mrel @ SV183 @ SV327 ) )
= $true )
| ( ( ! [SY2090: $i,SY2091: mworld] :
( ~ ( mrel @ SV327 @ SY2091 )
| ! [SY1735: $i,SY1736: mworld] :
( ~ ( mrel @ SY2091 @ SY1736 )
| ~ ! [SY1737: mworld] :
( ~ ( mrel @ SY1736 @ SY1737 )
| ( qmltpeq @ SV104 @ SV260 @ SY1737 ) )
| ! [SY1738: mworld] :
( ~ ( mrel @ SY1736 @ SY1738 )
| ( qmltpeq @ ( restrict @ SY2090 @ SY1735 @ SV104 ) @ ( restrict @ SY2090 @ SY1735 @ SV260 ) @ SY1738 ) ) ) ) )
= $true )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1035,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV185: mworld] :
( ( ( ~ ! [SY1739: mworld] :
( ~ ( mrel @ SV185 @ SY1739 )
| ~ ! [SY1740: mworld] :
( ~ ( mrel @ SY1739 @ SY1740 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY1740 ) )
| ~ ( ~ ! [SY770: mworld] :
( ~ ( mrel @ SY1739 @ SY770 )
| ( member @ SV106 @ universal_class @ SY770 ) )
| ~ ! [SY1742: mworld] :
( ~ ( mrel @ SY1739 @ SY1742 )
| ( subclass @ SV106 @ SV261 @ SY1742 ) ) ) ) )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[955]) ).
thf(1036,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV185: mworld] :
( ( ( ~ ! [SY1743: mworld] :
( ~ ( mrel @ SV185 @ SY1743 )
| ~ ~ ( ~ ! [SY773: mworld] :
( ~ ( mrel @ SY1743 @ SY773 )
| ( member @ SV106 @ universal_class @ SY773 ) )
| ~ ! [SY1745: mworld] :
( ~ ( mrel @ SY1743 @ SY1745 )
| ( subclass @ SV106 @ SV261 @ SY1745 ) ) )
| ! [SY1746: mworld] :
( ~ ( mrel @ SY1743 @ SY1746 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY1746 ) ) ) )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[955]) ).
thf(1037,plain,
! [SV24: mworld,SV262: $i,SV107: $i,SV328: mworld,SV186: mworld] :
( ( ( ~ ( mrel @ SV186 @ SV328 ) )
= $true )
| ( ( ! [SY2096: $i,SY2097: mworld] :
( ~ ( mrel @ SV328 @ SY2097 )
| ~ ! [SY1750: mworld] :
( ~ ( mrel @ SY2097 @ SY1750 )
| ( qmltpeq @ SV107 @ SV262 @ SY1750 ) )
| ! [SY1751: mworld] :
( ~ ( mrel @ SY2097 @ SY1751 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SY2096 ) @ ( ordered_pair @ SV262 @ SY2096 ) @ SY1751 ) ) ) )
= $true )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(1038,plain,
! [SV25: mworld,SV263: $i,SV108: $i,SV329: mworld,SV187: mworld] :
( ( ( ~ ( mrel @ SV187 @ SV329 ) )
= $true )
| ( ( ! [SY2100: $i,SY2101: mworld] :
( ~ ( mrel @ SV329 @ SY2101 )
| ~ ~ ( ~ ! [SY1755: mworld] :
( ~ ( mrel @ SY2101 @ SY1755 )
| ( qmltpeq @ SV108 @ SV263 @ SY1755 ) )
| ~ ! [SY789: mworld] :
( ~ ( mrel @ SY2101 @ SY789 )
| ( subclass @ SV108 @ SY2100 @ SY789 ) ) )
| ! [SY1757: mworld] :
( ~ ( mrel @ SY2101 @ SY1757 )
| ( subclass @ SV263 @ SY2100 @ SY1757 ) ) ) )
= $true )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1039,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV188: mworld] :
( ( ( ~ ! [SY1758: mworld] :
( ~ ( mrel @ SV188 @ SY1758 )
| ~ ! [SY1759: mworld] :
( ~ ( mrel @ SY1758 @ SY1759 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY1759 ) )
| ~ ( ~ ! [SY1760: mworld] :
( ~ ( mrel @ SY1758 @ SY1760 )
| ( member @ SV264 @ universal_class @ SY1760 ) )
| ~ ! [SY1761: mworld] :
( ~ ( mrel @ SY1758 @ SY1761 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY1761 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) ) )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[958]) ).
thf(1040,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV188: mworld] :
( ( ( ~ ! [SY1763: mworld] :
( ~ ( mrel @ SV188 @ SY1763 )
| ~ ~ ( ~ ! [SY1764: mworld] :
( ~ ( mrel @ SY1763 @ SY1764 )
| ( member @ SV264 @ universal_class @ SY1764 ) )
| ~ ! [SY1765: mworld] :
( ~ ( mrel @ SY1763 @ SY1765 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY1765 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
| ! [SY1767: mworld] :
( ~ ( mrel @ SY1763 @ SY1767 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY1767 ) ) ) )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[958]) ).
thf(1041,plain,
! [SV27: mworld,SV265: $i,SV110: $i,SV330: mworld,SV189: mworld] :
( ( ( ~ ( mrel @ SV189 @ SV330 ) )
= $true )
| ( ( ! [SY2105: $i,SY2106: mworld] :
( ~ ( mrel @ SV330 @ SY2106 )
| ~ ! [SY1771: mworld] :
( ~ ( mrel @ SY2106 @ SY1771 )
| ( qmltpeq @ SV110 @ SV265 @ SY1771 ) )
| ! [SY1772: mworld] :
( ~ ( mrel @ SY2106 @ SY1772 )
| ( qmltpeq @ ( intersection @ SV110 @ SY2105 ) @ ( intersection @ SV265 @ SY2105 ) @ SY1772 ) ) ) )
= $true )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[959]) ).
thf(1042,plain,
! [SV28: mworld,SV266: $i,SV111: $i,SV331: mworld,SV190: mworld] :
( ( ( ~ ( mrel @ SV190 @ SV331 ) )
= $true )
| ( ( ! [SY2109: $i,SY2110: mworld] :
( ~ ( mrel @ SV331 @ SY2110 )
| ~ ! [SY1776: mworld] :
( ~ ( mrel @ SY2110 @ SY1776 )
| ( qmltpeq @ SV111 @ SV266 @ SY1776 ) )
| ! [SY1777: mworld] :
( ~ ( mrel @ SY2110 @ SY1777 )
| ( qmltpeq @ ( compose @ SV111 @ SY2109 ) @ ( compose @ SV266 @ SY2109 ) @ SY1777 ) ) ) )
= $true )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[960]) ).
thf(1043,plain,
! [SV30: mworld,SV112: $i,SV267: $i,SV332: mworld,SV191: mworld] :
( ( ( ~ ( mrel @ SV191 @ SV332 ) )
= $true )
| ( ( subclass @ ( compose @ SV267 @ SV112 ) @ ( cross_product @ universal_class @ universal_class ) @ SV332 )
= $true )
| ( ( mrel @ SV30 @ SV191 )
= $false )
| ( ( mrel @ mactual @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(1044,plain,
! [SV31: mworld,SV268: $i,SV113: $i,SV333: mworld,SV192: mworld] :
( ( ( ~ ( mrel @ SV192 @ SV333 ) )
= $true )
| ( ( ~ ! [SY2113: mworld] :
( ~ ( mrel @ SV333 @ SY2113 )
| ( qmltpeq @ SV113 @ SV268 @ SY2113 ) )
| ! [SY2114: mworld] :
( ~ ( mrel @ SV333 @ SY2114 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SY2114 ) ) )
= $true )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[962]) ).
thf(1045,plain,
! [SV32: mworld,SV269: $i,SV114: $i,SV334: mworld,SV193: mworld] :
( ( ( ~ ( mrel @ SV193 @ SV334 ) )
= $true )
| ( ( ! [SY2115: $i,SY2116: mworld] :
( ~ ( mrel @ SV334 @ SY2116 )
| ~ ~ ( ~ ! [SY1785: mworld] :
( ~ ( mrel @ SY2116 @ SY1785 )
| ( qmltpeq @ SV114 @ SV269 @ SY1785 ) )
| ~ ! [SY1786: mworld] :
( ~ ( mrel @ SY2116 @ SY1786 )
| ( qmltpeq @ SV269 @ SY2115 @ SY1786 ) ) )
| ! [SY832: mworld] :
( ~ ( mrel @ SY2116 @ SY832 )
| ( qmltpeq @ SV114 @ SY2115 @ SY832 ) ) ) )
= $true )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1046,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV194: mworld] :
( ( ( ~ ! [SY1788: mworld] :
( ~ ( mrel @ SV194 @ SY1788 )
| ~ ! [SY1789: mworld] :
( ~ ( mrel @ SY1788 @ SY1789 )
| ( subclass @ SV115 @ SV270 @ SY1789 ) )
| ! [SY1790: mworld] :
( ~ ( mrel @ SY1788 @ SY1790 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY1790 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) ) )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1047,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV194: mworld] :
( ( ( ~ ! [SY1795: mworld] :
( ~ ( mrel @ SV194 @ SY1795 )
| ~ ! [SY1796: mworld] :
( ~ ( mrel @ SY1795 @ SY1796 )
| ! [SY1797: $i,SY1798: mworld] :
( ~ ( mrel @ SY1796 @ SY1798 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY1798 @ SY846 )
| ( member @ SY1797 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY1798 @ SY1800 )
| ( member @ SY1797 @ SV270 @ SY1800 ) ) ) )
| ! [SY1801: mworld] :
( ~ ( mrel @ SY1795 @ SY1801 )
| ( subclass @ SV115 @ SV270 @ SY1801 ) ) ) )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1048,plain,
! [SV34: mworld,SV271: $i,SV116: $i,SV335: mworld,SV195: mworld] :
( ( ( ~ ( mrel @ SV195 @ SV335 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2120: mworld] :
( ~ ( mrel @ SV335 @ SY2120 )
| ( qmltpeq @ SV116 @ SV271 @ SY2120 ) )
| ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
| ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(1049,plain,
! [SV35: mworld,SV272: $i,SV117: $i,SV336: mworld,SV196: mworld] :
( ( ( ~ ( mrel @ SV196 @ SV336 ) )
= $true )
| ( ( ~ ! [SY2123: mworld] :
( ~ ( mrel @ SV336 @ SY2123 )
| ( qmltpeq @ SV117 @ SV272 @ SY2123 ) )
| ! [SY2124: mworld] :
( ~ ( mrel @ SV336 @ SY2124 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SY2124 ) ) )
= $true )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1050,plain,
! [SV36: mworld,SV273: $i,SV118: $i,SV337: mworld,SV197: mworld] :
( ( ( ~ ( mrel @ SV197 @ SV337 ) )
= $true )
| ( ( ! [SY2125: $i,SY2126: mworld] :
( ~ ( mrel @ SV337 @ SY2126 )
| ~ ! [SY1812: mworld] :
( ~ ( mrel @ SY2126 @ SY1812 )
| ( qmltpeq @ SV118 @ SV273 @ SY1812 ) )
| ! [SY1813: mworld] :
( ~ ( mrel @ SY2126 @ SY1813 )
| ( qmltpeq @ ( apply @ SY2125 @ SV118 ) @ ( apply @ SY2125 @ SV273 ) @ SY1813 ) ) ) )
= $true )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1051,plain,
! [SV37: mworld,SV274: $i,SV119: $i,SV338: mworld,SV198: mworld] :
( ( ( ~ ( mrel @ SV198 @ SV338 ) )
= $true )
| ( ( ! [SY2129: $i,SY2130: mworld] :
( ~ ( mrel @ SV338 @ SY2130 )
| ~ ! [SY1817: mworld] :
( ~ ( mrel @ SY2130 @ SY1817 )
| ( qmltpeq @ SV119 @ SV274 @ SY1817 ) )
| ! [SY1818: mworld] :
( ~ ( mrel @ SY2130 @ SY1818 )
| ( qmltpeq @ ( cross_product @ SY2129 @ SV119 ) @ ( cross_product @ SY2129 @ SV274 ) @ SY1818 ) ) ) )
= $true )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(1052,plain,
! [SV120: $i,SV38: mworld,SV199: mworld] :
( ( ( ~ ( mrel @ SV199 @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) )
| ( member @ SV120 @ universal_class @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) ) )
= $false )
| ( ( ! [SY1390: mworld] :
( ~ ( mrel @ SV199 @ SY1390 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SY1390 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[969]) ).
thf(1053,plain,
! [SV39: mworld,SV275: $i,SV121: $i,SV339: mworld,SV200: mworld] :
( ( ( ~ ( mrel @ SV200 @ SV339 ) )
= $true )
| ( ( ! [SY2133: $i,SY2134: mworld] :
( ~ ( mrel @ SV339 @ SY2134 )
| ~ ~ ( ~ ! [SY1822: mworld] :
( ~ ( mrel @ SY2134 @ SY1822 )
| ( qmltpeq @ SV121 @ SV275 @ SY1822 ) )
| ~ ! [SY883: mworld] :
( ~ ( mrel @ SY2134 @ SY883 )
| ( subclass @ SY2133 @ SV121 @ SY883 ) ) )
| ! [SY1824: mworld] :
( ~ ( mrel @ SY2134 @ SY1824 )
| ( subclass @ SY2133 @ SV275 @ SY1824 ) ) ) )
= $true )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(1054,plain,
! [SV40: mworld,SV276: $i,SV122: $i,SV340: mworld,SV201: mworld] :
( ( ( ~ ( mrel @ SV201 @ SV340 ) )
= $true )
| ( ( ! [SY2138: $i,SY2139: mworld] :
( ~ ( mrel @ SV340 @ SY2139 )
| ~ ! [SY1828: mworld] :
( ~ ( mrel @ SY2139 @ SY1828 )
| ( qmltpeq @ SV122 @ SV276 @ SY1828 ) )
| ! [SY1829: mworld] :
( ~ ( mrel @ SY2139 @ SY1829 )
| ( qmltpeq @ ( ordered_pair @ SY2138 @ SV122 ) @ ( ordered_pair @ SY2138 @ SV276 ) @ SY1829 ) ) ) )
= $true )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[971]) ).
thf(1055,plain,
! [SV41: mworld,SV277: $i,SV123: $i,SV341: mworld,SV202: mworld] :
( ( ( ~ ( mrel @ SV202 @ SV341 ) )
= $true )
| ( ( ! [SY2142: $i,SY2143: mworld] :
( ~ ( mrel @ SV341 @ SY2143 )
| ~ ! [SY1833: mworld] :
( ~ ( mrel @ SY2143 @ SY1833 )
| ( qmltpeq @ SV123 @ SV277 @ SY1833 ) )
| ! [SY1834: mworld] :
( ~ ( mrel @ SY2143 @ SY1834 )
| ( qmltpeq @ ( image @ SY2142 @ SV123 ) @ ( image @ SY2142 @ SV277 ) @ SY1834 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1056,plain,
! [SV42: mworld,SV278: $i,SV124: $i,SV342: mworld,SV203: mworld] :
( ( ( ~ ( mrel @ SV203 @ SV342 ) )
= $true )
| ( ( ! [SY2146: $i,SY2147: mworld] :
( ~ ( mrel @ SV342 @ SY2147 )
| ~ ~ ( ~ ! [SY1838: mworld] :
( ~ ( mrel @ SY2147 @ SY1838 )
| ( qmltpeq @ SV124 @ SV278 @ SY1838 ) )
| ~ ! [SY905: mworld] :
( ~ ( mrel @ SY2147 @ SY905 )
| ( member @ SV124 @ SY2146 @ SY905 ) ) )
| ! [SY1840: mworld] :
( ~ ( mrel @ SY2147 @ SY1840 )
| ( member @ SV278 @ SY2146 @ SY1840 ) ) ) )
= $true )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1057,plain,
! [SV125: $i,SV43: mworld,SV204: mworld] :
( ( ( ~ ( mrel @ SV204 @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) )
| ( member @ SV125 @ universal_class @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) ) )
= $false )
| ( ( ! [SY1418: mworld] :
( ~ ( mrel @ SV204 @ SY1418 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SY1418 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[974]) ).
thf(1058,plain,
! [SV44: mworld,SV279: $i,SV126: $i,SV343: mworld,SV205: mworld] :
( ( ( ~ ( mrel @ SV205 @ SV343 ) )
= $true )
| ( ( ! [SY2151: $i,SY2152: mworld] :
( ~ ( mrel @ SV343 @ SY2152 )
| ~ ! [SY1844: mworld] :
( ~ ( mrel @ SY2152 @ SY1844 )
| ( qmltpeq @ SV126 @ SV279 @ SY1844 ) )
| ! [SY1845: mworld] :
( ~ ( mrel @ SY2152 @ SY1845 )
| ( qmltpeq @ ( intersection @ SY2151 @ SV126 ) @ ( intersection @ SY2151 @ SV279 ) @ SY1845 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1059,plain,
! [SV45: mworld,SV280: $i,SV127: $i,SV344: mworld,SV206: mworld] :
( ( ( ~ ( mrel @ SV206 @ SV344 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2155: mworld] :
( ~ ( mrel @ SV344 @ SY2155 )
| ( qmltpeq @ SV127 @ SV280 @ SY2155 ) )
| ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
| ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1060,plain,
! [SV46: mworld,SV281: $i,SV128: $i,SV345: mworld,SV207: mworld] :
( ( ( ~ ( mrel @ SV207 @ SV345 ) )
= $true )
| ( ( ! [SY2158: $i,SY2159: mworld] :
( ~ ( mrel @ SV345 @ SY2159 )
| ~ ~ ( ~ ! [SY1853: mworld] :
( ~ ( mrel @ SY2159 @ SY1853 )
| ( qmltpeq @ SV128 @ SV281 @ SY1853 ) )
| ~ ! [SY929: mworld] :
( ~ ( mrel @ SY2159 @ SY929 )
| ( disjoint @ SV128 @ SY2158 @ SY929 ) ) )
| ! [SY1855: mworld] :
( ~ ( mrel @ SY2159 @ SY1855 )
| ( disjoint @ SV281 @ SY2158 @ SY1855 ) ) ) )
= $true )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1061,plain,
! [SV370: $i,SV243: mworld] :
( ( ( ! [SY2277: mworld] :
( ~ ( mrel @ SV243 @ SY2277 )
| ~ ! [SY2278: mworld] :
( ~ ( mrel @ SY2277 @ SY2278 )
| ( member @ SV370 @ universal_class @ SY2278 ) )
| ! [SY2279: mworld] :
( ~ ( mrel @ SY2277 @ SY2279 )
| ( qmltpeq @ SV370 @ null_class @ SY2279 ) )
| ! [SY2280: mworld] :
( ~ ( mrel @ SY2277 @ SY2280 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2280 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[979]) ).
thf(1062,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV209: mworld] :
( ( ( ~ ! [SY1856: mworld] :
( ~ ( mrel @ SV209 @ SY1856 )
| ~ ! [SY1857: mworld] :
( ~ ( mrel @ SY1856 @ SY1857 )
| ( qmltpeq @ SV130 @ SV282 @ SY1857 ) )
| ~ ( ~ ! [SY1858: mworld] :
( ~ ( mrel @ SY1856 @ SY1858 )
| ( subclass @ SV130 @ SV282 @ SY1858 ) )
| ~ ! [SY1859: mworld] :
( ~ ( mrel @ SY1856 @ SY1859 )
| ( subclass @ SV282 @ SV130 @ SY1859 ) ) ) ) )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1063,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV209: mworld] :
( ( ( ~ ! [SY1860: mworld] :
( ~ ( mrel @ SV209 @ SY1860 )
| ~ ~ ( ~ ! [SY1861: mworld] :
( ~ ( mrel @ SY1860 @ SY1861 )
| ( subclass @ SV130 @ SV282 @ SY1861 ) )
| ~ ! [SY1862: mworld] :
( ~ ( mrel @ SY1860 @ SY1862 )
| ( subclass @ SV282 @ SV130 @ SY1862 ) ) )
| ! [SY1863: mworld] :
( ~ ( mrel @ SY1860 @ SY1863 )
| ( qmltpeq @ SV130 @ SV282 @ SY1863 ) ) ) )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1064,plain,
! [SV50: mworld,SV283: $i,SV132: $i,SV346: mworld,SV211: mworld] :
( ( ( ~ ( mrel @ SV211 @ SV346 ) )
= $true )
| ( ( ~ ! [SY2163: mworld] :
( ~ ( mrel @ SV346 @ SY2163 )
| ( qmltpeq @ SV132 @ SV283 @ SY2163 ) )
| ! [SY2164: mworld] :
( ~ ( mrel @ SV346 @ SY2164 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SY2164 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1065,plain,
! [SV51: mworld,SV284: $i,SV133: $i,SV347: mworld,SV212: mworld] :
( ( ( ~ ( mrel @ SV212 @ SV347 ) )
= $true )
| ( ( ~ ! [SY2165: mworld] :
( ~ ( mrel @ SV347 @ SY2165 )
| ( qmltpeq @ SV133 @ SV284 @ SY2165 ) )
| ! [SY2166: mworld] :
( ~ ( mrel @ SV347 @ SY2166 )
| ( qmltpeq @ SV284 @ SV133 @ SY2166 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1066,plain,
! [SV371: mworld] :
( ( ~ ( mrel @ mactual @ SV371 )
| ( inductive @ sK3_SX0 @ SV371 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1067,plain,
! [SV372: mworld] :
( ( ~ ( mrel @ mactual @ SV372 )
| ! [SY2281: $i,SY2282: mworld] :
( ~ ( mrel @ SV372 @ SY2282 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2282 @ SX4 )
| ( inductive @ SY2281 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY2282 @ SY645 )
| ( subclass @ sK3_SX0 @ SY2281 @ SY645 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1068,plain,
! [SV52: mworld,SV285: $i,SV134: $i,SV348: mworld,SV213: mworld] :
( ( ( ~ ( mrel @ SV213 @ SV348 ) )
= $true )
| ( ( ~ ! [SY2167: mworld] :
( ~ ( mrel @ SV348 @ SY2167 )
| ( qmltpeq @ SV134 @ SV285 @ SY2167 ) )
| ! [SY2168: mworld] :
( ~ ( mrel @ SV348 @ SY2168 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SY2168 ) ) )
= $true )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[986]) ).
thf(1069,plain,
! [SV135: $i,SV53: mworld,SV214: mworld] :
( ( ( ~ ( mrel @ SV214 @ ( sK6_SY1458 @ SV53 @ SV135 @ SV214 ) ) )
= $false )
| ( ( mrel @ SV53 @ SV214 )
= $false )
| ( ( mrel @ mactual @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[987]) ).
thf(1070,plain,
! [SV214: mworld,SV53: mworld,SV135: $i] :
( ( ( member @ SV135 @ null_class @ ( sK6_SY1458 @ SV53 @ SV135 @ SV214 ) )
= $false )
| ( ( mrel @ SV53 @ SV214 )
= $false )
| ( ( mrel @ mactual @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[987]) ).
thf(1071,plain,
! [SV54: mworld,SV286: $i,SV136: $i,SV349: mworld,SV215: mworld] :
( ( ( ~ ( mrel @ SV215 @ SV349 ) )
= $true )
| ( ( ! [SY2169: $i,SY2170: mworld] :
( ~ ( mrel @ SV349 @ SY2170 )
| ~ ~ ( ~ ! [SY1876: mworld] :
( ~ ( mrel @ SY2170 @ SY1876 )
| ( qmltpeq @ SV136 @ SV286 @ SY1876 ) )
| ~ ! [SY967: mworld] :
( ~ ( mrel @ SY2170 @ SY967 )
| ( disjoint @ SY2169 @ SV136 @ SY967 ) ) )
| ! [SY1878: mworld] :
( ~ ( mrel @ SY2170 @ SY1878 )
| ( disjoint @ SY2169 @ SV286 @ SY1878 ) ) ) )
= $true )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1072,plain,
! [SV137: $i,SV287: mworld,SV55: mworld] :
( ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( ~ ! [SY1879: mworld] :
( ~ ( mrel @ SV287 @ SY1879 )
| ( function @ SV137 @ SY1879 ) )
| ~ ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1073,plain,
! [SV137: $i,SV288: mworld,SV55: mworld] :
( ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( ~ ~ ( ~ ! [SY1882: mworld] :
( ~ ( mrel @ SV288 @ SY1882 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1882 ) )
| ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
| ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1074,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV216: mworld] :
( ( ( ~ ! [SY1885: mworld] :
( ~ ( mrel @ SV216 @ SY1885 )
| ~ ! [SY1886: mworld] :
( ~ ( mrel @ SY1885 @ SY1886 )
| ( disjoint @ SV138 @ SV289 @ SY1886 ) )
| ! [SY1887: mworld] :
( ~ ( mrel @ SY1885 @ SY1887 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY1887 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) ) )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(1075,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV216: mworld] :
( ( ( ~ ! [SY1892: mworld] :
( ~ ( mrel @ SV216 @ SY1892 )
| ~ ! [SY1893: mworld] :
( ~ ( mrel @ SY1892 @ SY1893 )
| ! [SY1894: $i,SY1895: mworld] :
( ~ ( mrel @ SY1893 @ SY1895 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY1895 @ SY990 )
| ( member @ SY1894 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY1895 @ SY1897 )
| ( member @ SY1894 @ SV289 @ SY1897 ) ) ) ) )
| ! [SY1898: mworld] :
( ~ ( mrel @ SY1892 @ SY1898 )
| ( disjoint @ SV138 @ SV289 @ SY1898 ) ) ) )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(1076,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV217: mworld] :
( ( ( ~ ! [SY1899: mworld] :
( ~ ( mrel @ SV217 @ SY1899 )
| ~ ! [SY1900: mworld] :
( ~ ( mrel @ SY1899 @ SY1900 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY1900 ) )
| ~ ( ~ ! [SY997: mworld] :
( ~ ( mrel @ SY1899 @ SY997 )
| ( member @ SV139 @ universal_class @ SY997 ) )
| ~ ~ ( ~ ! [SY1902: mworld] :
( ~ ( mrel @ SY1899 @ SY1902 )
| ( member @ SV290 @ universal_class @ SY1902 ) )
| ~ ! [SY1903: mworld] :
( ~ ( mrel @ SY1899 @ SY1903 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY1903 ) ) ) ) ) )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1077,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV217: mworld] :
( ( ( ~ ! [SY1904: mworld] :
( ~ ( mrel @ SV217 @ SY1904 )
| ~ ~ ( ~ ! [SY1001: mworld] :
( ~ ( mrel @ SY1904 @ SY1001 )
| ( member @ SV139 @ universal_class @ SY1001 ) )
| ~ ~ ( ~ ! [SY1906: mworld] :
( ~ ( mrel @ SY1904 @ SY1906 )
| ( member @ SV290 @ universal_class @ SY1906 ) )
| ~ ! [SY1907: mworld] :
( ~ ( mrel @ SY1904 @ SY1907 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY1907 ) ) ) )
| ! [SY1908: mworld] :
( ~ ( mrel @ SY1904 @ SY1908 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY1908 ) ) ) )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1078,plain,
! [SV58: mworld,SV291: $i,SV140: $i,SV350: mworld,SV218: mworld] :
( ( ( ~ ( mrel @ SV218 @ SV350 ) )
= $true )
| ( ( ! [SY2174: $i] :
~ ( ~ ! [SY2175: mworld] :
( ~ ( mrel @ SV350 @ SY2175 )
| ~ ! [SY1912: mworld] :
( ~ ( mrel @ SY2175 @ SY1912 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SY2174 ) @ SY1912 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY2175 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1914: mworld] :
( ~ ( mrel @ SY2175 @ SY1914 )
| ( qmltpeq @ SV140 @ SV291 @ SY1914 ) )
| ! [SY1013: mworld] :
( ~ ( mrel @ SY2175 @ SY1013 )
| ( qmltpeq @ SV140 @ SY2174 @ SY1013 ) ) ) ) )
| ~ ! [SY2180: mworld] :
( ~ ( mrel @ SV350 @ SY2180 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY2180 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1918: mworld] :
( ~ ( mrel @ SY2180 @ SY1918 )
| ( qmltpeq @ SV140 @ SV291 @ SY1918 ) )
| ! [SY1017: mworld] :
( ~ ( mrel @ SY2180 @ SY1017 )
| ( qmltpeq @ SV140 @ SY2174 @ SY1017 ) ) ) )
| ! [SY1920: mworld] :
( ~ ( mrel @ SY2180 @ SY1920 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SY2174 ) @ SY1920 ) ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[993]) ).
thf(1079,plain,
! [SV60: mworld,SV292: $i,SV141: $i,SV351: mworld,SV219: mworld] :
( ( ( ~ ( mrel @ SV219 @ SV351 ) )
= $true )
| ( ( ! [SY2185: $i,SY2186: mworld] :
( ~ ( mrel @ SV351 @ SY2186 )
| ~ ! [SY1924: mworld] :
( ~ ( mrel @ SY2186 @ SY1924 )
| ( member @ SY2185 @ ( cross_product @ SV141 @ SV292 ) @ SY1924 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2186 @ SX7 )
| ( qmltpeq @ SY2185 @ ( ordered_pair @ ( first @ SY2185 ) @ ( second @ SY2185 ) ) @ SX7 ) ) ) )
= $true )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1080,plain,
! [SV142: $i,SV293: mworld,SV61: mworld] :
( ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( ~ ! [SY1926: mworld] :
( ~ ( mrel @ SV293 @ SY1926 )
| ( inductive @ SV142 @ SY1926 ) )
| ~ ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1081,plain,
! [SV142: $i,SV294: mworld,SV61: mworld] :
( ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( ~ ~ ( ~ ! [SY1929: mworld] :
( ~ ( mrel @ SV294 @ SY1929 )
| ( member @ null_class @ SV142 @ SY1929 ) )
| ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
| ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1082,plain,
! [SV62: mworld,SV143: $i,SV295: $i,SV352: mworld,SV220: mworld] :
( ( ( ~ ( mrel @ SV220 @ SV352 ) )
= $true )
| ( ( ! [SY2189: $i,SY2190: mworld] :
( ~ ( mrel @ SV352 @ SY2190 )
| ! [SY1935: $i] :
~ ( ~ ! [SY1936: mworld] :
( ~ ( mrel @ SY2190 @ SY1936 )
| ~ ! [SY1937: mworld] :
( ~ ( mrel @ SY1936 @ SY1937 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( rotate @ SV143 ) @ SY1937 ) )
| ~ ( ~ ! [SY1938: mworld] :
( ~ ( mrel @ SY1936 @ SY1938 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1938 ) )
| ~ ! [SY1939: mworld] :
( ~ ( mrel @ SY1936 @ SY1939 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY2189 @ SY1935 ) @ SV295 ) @ SV143 @ SY1939 ) ) ) )
| ~ ! [SY1940: mworld] :
( ~ ( mrel @ SY2190 @ SY1940 )
| ~ ~ ( ~ ! [SY1941: mworld] :
( ~ ( mrel @ SY1940 @ SY1941 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1941 ) )
| ~ ! [SY1942: mworld] :
( ~ ( mrel @ SY1940 @ SY1942 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY2189 @ SY1935 ) @ SV295 ) @ SV143 @ SY1942 ) ) )
| ! [SY1943: mworld] :
( ~ ( mrel @ SY1940 @ SY1943 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( rotate @ SV143 ) @ SY1943 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[997]) ).
thf(1083,plain,
! [SV63: mworld,SV296: $i,SV144: $i,SV353: mworld,SV221: mworld] :
( ( ( ~ ( mrel @ SV221 @ SV353 ) )
= $true )
| ( ( ~ ! [SY2200: mworld] :
( ~ ( mrel @ SV353 @ SY2200 )
| ( qmltpeq @ SV144 @ SV296 @ SY2200 ) )
| ! [SY2201: mworld] :
( ~ ( mrel @ SV353 @ SY2201 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SY2201 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1084,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
| ~ ! [SY2285: mworld] :
( ~ ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SY2285 )
| ( qmltpeq @ SV145 @ null_class @ SY2285 ) ) )
= $false )
| ( ( ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[999]) ).
thf(1085,plain,
! [SV65: mworld,SV297: $i,SV146: $i,SV223: mworld] :
( ( ( ~ ! [SY1947: mworld] :
( ~ ( mrel @ SV223 @ SY1947 )
| ~ ! [SY1948: mworld] :
( ~ ( mrel @ SY1947 @ SY1948 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY1948 ) )
| ~ ( ~ ! [SY1949: mworld] :
( ~ ( mrel @ SY1947 @ SY1949 )
| ( member @ SV297 @ universal_class @ SY1949 ) )
| ~ ! [SY1950: mworld] :
( ~ ( mrel @ SY1947 @ SY1950 )
| ( member @ SV146 @ SV297 @ SY1950 ) ) ) ) )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1086,plain,
! [SV65: mworld,SV146: $i,SV297: $i,SV223: mworld] :
( ( ( ~ ! [SY1951: mworld] :
( ~ ( mrel @ SV223 @ SY1951 )
| ~ ~ ( ~ ! [SY1952: mworld] :
( ~ ( mrel @ SY1951 @ SY1952 )
| ( member @ SV297 @ universal_class @ SY1952 ) )
| ~ ! [SY1953: mworld] :
( ~ ( mrel @ SY1951 @ SY1953 )
| ( member @ SV146 @ SV297 @ SY1953 ) ) )
| ! [SY1954: mworld] :
( ~ ( mrel @ SY1951 @ SY1954 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY1954 ) ) ) )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1087,plain,
! [SV66: mworld,SV298: $i,SV147: $i,SV354: mworld,SV224: mworld] :
( ( ( ~ ( mrel @ SV224 @ SV354 ) )
= $true )
| ( ( ! [SY2202: $i,SY2203: mworld] :
( ~ ( mrel @ SV354 @ SY2203 )
| ~ ! [SY1958: mworld] :
( ~ ( mrel @ SY2203 @ SY1958 )
| ( qmltpeq @ SV147 @ SV298 @ SY1958 ) )
| ! [SY1959: mworld] :
( ~ ( mrel @ SY2203 @ SY1959 )
| ( qmltpeq @ ( unordered_pair @ SY2202 @ SV147 ) @ ( unordered_pair @ SY2202 @ SV298 ) @ SY1959 ) ) ) )
= $true )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1088,plain,
! [SV68: mworld,SV299: $i,SV149: $i,SV355: mworld,SV226: mworld] :
( ( ( ~ ( mrel @ SV226 @ SV355 ) )
= $true )
| ( ( ! [SY2206: $i,SY2207: mworld] :
( ~ ( mrel @ SV355 @ SY2207 )
| ~ ! [SY1963: mworld] :
( ~ ( mrel @ SY2207 @ SY1963 )
| ( qmltpeq @ SV149 @ SV299 @ SY1963 ) )
| ! [SY1964: mworld] :
( ~ ( mrel @ SY2207 @ SY1964 )
| ( qmltpeq @ ( image @ SV149 @ SY2206 ) @ ( image @ SV299 @ SY2206 ) @ SY1964 ) ) ) )
= $true )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1089,plain,
! [SV69: mworld,SV300: $i,SV150: $i,SV356: mworld,SV227: mworld] :
( ( ( ~ ( mrel @ SV227 @ SV356 ) )
= $true )
| ( ( ! [SY2210: $i,SY2211: mworld] :
( ~ ( mrel @ SV356 @ SY2211 )
| ~ ! [SY1968: mworld] :
( ~ ( mrel @ SY2211 @ SY1968 )
| ( qmltpeq @ SV150 @ SV300 @ SY1968 ) )
| ! [SY1969: mworld] :
( ~ ( mrel @ SY2211 @ SY1969 )
| ( qmltpeq @ ( cross_product @ SV150 @ SY2210 ) @ ( cross_product @ SV300 @ SY2210 ) @ SY1969 ) ) ) )
= $true )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1090,plain,
! [SV70: mworld,SV301: $i,SV151: $i,SV357: mworld,SV228: mworld] :
( ( ( ~ ( mrel @ SV228 @ SV357 ) )
= $true )
| ( ( ! [SY2214: $i,SY2215: mworld] :
( ~ ( mrel @ SV357 @ SY2215 )
| ~ ! [SY1973: mworld] :
( ~ ( mrel @ SY2215 @ SY1973 )
| ( qmltpeq @ SV151 @ SV301 @ SY1973 ) )
| ! [SY1974: mworld] :
( ~ ( mrel @ SY2215 @ SY1974 )
| ( qmltpeq @ ( union @ SV151 @ SY2214 ) @ ( union @ SV301 @ SY2214 ) @ SY1974 ) ) ) )
= $true )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1091,plain,
! [SV71: mworld,SV302: $i,SV152: $i,SV358: mworld,SV229: mworld] :
( ( ( ~ ( mrel @ SV229 @ SV358 ) )
= $true )
| ( ( ! [SY2218: $i,SY2219: mworld] :
( ~ ( mrel @ SV358 @ SY2219 )
| ~ ~ ( ~ ! [SY1978: mworld] :
( ~ ( mrel @ SY2219 @ SY1978 )
| ( qmltpeq @ SV152 @ SV302 @ SY1978 ) )
| ~ ! [SY1105: mworld] :
( ~ ( mrel @ SY2219 @ SY1105 )
| ( member @ SY2218 @ SV152 @ SY1105 ) ) )
| ! [SY1980: mworld] :
( ~ ( mrel @ SY2219 @ SY1980 )
| ( member @ SY2218 @ SV302 @ SY1980 ) ) ) )
= $true )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1092,plain,
! [SV73: mworld,SV303: $i,SV154: $i,SV359: mworld,SV231: mworld] :
( ( ( ~ ( mrel @ SV231 @ SV359 ) )
= $true )
| ( ( qmltpeq @ ( ordered_pair @ SV154 @ SV303 ) @ ( unordered_pair @ ( singleton @ SV154 ) @ ( unordered_pair @ SV154 @ ( singleton @ SV303 ) ) ) @ SV359 )
= $true )
| ( ( mrel @ SV73 @ SV231 )
= $false )
| ( ( mrel @ mactual @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1093,plain,
! [SV74: mworld,SV304: $i,SV155: $i,SV360: mworld,SV232: mworld] :
( ( ( ~ ( mrel @ SV232 @ SV360 ) )
= $true )
| ( ( ! [SY2223: $i,SY2224: mworld] :
( ~ ( mrel @ SV360 @ SY2224 )
| ~ ! [SY1985: mworld] :
( ~ ( mrel @ SY2224 @ SY1985 )
| ( qmltpeq @ SV155 @ SV304 @ SY1985 ) )
| ! [SY1986: mworld] :
( ~ ( mrel @ SY2224 @ SY1986 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SY2223 ) @ ( unordered_pair @ SV304 @ SY2223 ) @ SY1986 ) ) ) )
= $true )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1094,plain,
! [SV75: mworld,SV156: $i,SV305: $i,SV361: mworld,SV233: mworld] :
( ( ( ~ ( mrel @ SV233 @ SV361 ) )
= $true )
| ( ( qmltpeq @ ( image @ SV305 @ SV156 ) @ ( range_of @ ( restrict @ SV305 @ SV156 @ universal_class ) ) @ SV361 )
= $true )
| ( ( mrel @ SV75 @ SV233 )
= $false )
| ( ( mrel @ mactual @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1095,plain,
! [SV76: mworld,SV306: $i,SV157: $i,SV362: mworld,SV234: mworld] :
( ( ( ~ ( mrel @ SV234 @ SV362 ) )
= $true )
| ( ( ! [SY2227: $i,SY2228: mworld] :
( ~ ( mrel @ SV362 @ SY2228 )
| ! [SY1991: $i] :
~ ( ~ ! [SY1992: mworld] :
( ~ ( mrel @ SY2228 @ SY1992 )
| ~ ! [SY1993: mworld] :
( ~ ( mrel @ SY1992 @ SY1993 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( flip @ SY1991 ) @ SY1993 ) )
| ~ ( ~ ! [SY1994: mworld] :
( ~ ( mrel @ SY1992 @ SY1994 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1994 ) )
| ~ ! [SY1995: mworld] :
( ~ ( mrel @ SY1992 @ SY1995 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SY2227 ) @ SY1991 @ SY1995 ) ) ) )
| ~ ! [SY1996: mworld] :
( ~ ( mrel @ SY2228 @ SY1996 )
| ~ ~ ( ~ ! [SY1997: mworld] :
( ~ ( mrel @ SY1996 @ SY1997 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1997 ) )
| ~ ! [SY1998: mworld] :
( ~ ( mrel @ SY1996 @ SY1998 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SY2227 ) @ SY1991 @ SY1998 ) ) )
| ! [SY1999: mworld] :
( ~ ( mrel @ SY1996 @ SY1999 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( flip @ SY1991 ) @ SY1999 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1009]) ).
thf(1096,plain,
! [SV77: mworld,SV158: $i,SV307: $i,SV363: mworld,SV235: mworld] :
( ( ( ~ ( mrel @ SV235 @ SV363 ) )
= $true )
| ( ( ! [SY2238: $i,SY2239: mworld] :
( ~ ( mrel @ SV363 @ SY2239 )
| ! [SY2003: $i] :
~ ( ~ ! [SY2004: mworld] :
( ~ ( mrel @ SY2239 @ SY2004 )
| ~ ! [SY2005: mworld] :
( ~ ( mrel @ SY2004 @ SY2005 )
| ( member @ ( ordered_pair @ SY2238 @ SY2003 ) @ ( compose @ SV307 @ SV158 ) @ SY2005 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY2004 @ SX9 )
| ( member @ SY2238 @ universal_class @ SX9 ) )
| ~ ! [SY2007: mworld] :
( ~ ( mrel @ SY2004 @ SY2007 )
| ( member @ SY2003 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SY2238 ) ) ) @ SY2007 ) ) ) )
| ~ ! [SY2008: mworld] :
( ~ ( mrel @ SY2239 @ SY2008 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY2008 @ SX9 )
| ( member @ SY2238 @ universal_class @ SX9 ) )
| ~ ! [SY2010: mworld] :
( ~ ( mrel @ SY2008 @ SY2010 )
| ( member @ SY2003 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SY2238 ) ) ) @ SY2010 ) ) )
| ! [SY2011: mworld] :
( ~ ( mrel @ SY2008 @ SY2011 )
| ( member @ ( ordered_pair @ SY2238 @ SY2003 ) @ ( compose @ SV307 @ SV158 ) @ SY2011 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1010]) ).
thf(1097,plain,
! [SV78: mworld,SV308: $i,SV159: $i,SV364: mworld,SV236: mworld] :
( ( ( ~ ( mrel @ SV236 @ SV364 ) )
= $true )
| ( ( ! [SY2249: $i,SY2250: mworld] :
( ~ ( mrel @ SV364 @ SY2250 )
| ! [SY2015: $i] :
~ ( ~ ! [SY2016: mworld] :
( ~ ( mrel @ SY2250 @ SY2016 )
| ~ ! [SY2017: mworld] :
( ~ ( mrel @ SY2016 @ SY2017 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SY2249 @ SY2015 ) @ SY2017 ) )
| ~ ( ~ ! [SY1157: mworld] :
( ~ ( mrel @ SY2016 @ SY1157 )
| ( member @ SV159 @ SY2249 @ SY1157 ) )
| ~ ! [SY2019: mworld] :
( ~ ( mrel @ SY2016 @ SY2019 )
| ( member @ SV308 @ SY2015 @ SY2019 ) ) ) )
| ~ ! [SY2020: mworld] :
( ~ ( mrel @ SY2250 @ SY2020 )
| ~ ~ ( ~ ! [SY1160: mworld] :
( ~ ( mrel @ SY2020 @ SY1160 )
| ( member @ SV159 @ SY2249 @ SY1160 ) )
| ~ ! [SY2022: mworld] :
( ~ ( mrel @ SY2020 @ SY2022 )
| ( member @ SV308 @ SY2015 @ SY2022 ) ) )
| ! [SY2023: mworld] :
( ~ ( mrel @ SY2020 @ SY2023 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SY2249 @ SY2015 ) @ SY2023 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1098,plain,
! [SV79: mworld,SV309: $i,SV160: $i,SV365: mworld,SV237: mworld] :
( ( ( ~ ( mrel @ SV237 @ SV365 ) )
= $true )
| ( ( ~ ! [SY2260: mworld] :
( ~ ( mrel @ SV365 @ SY2260 )
| ( qmltpeq @ SV160 @ SV309 @ SY2260 ) )
| ! [SY2261: mworld] :
( ~ ( mrel @ SV365 @ SY2261 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SY2261 ) ) )
= $true )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1099,plain,
! [SV80: mworld,SV310: $i,SV161: $i,SV366: mworld,SV238: mworld] :
( ( ( ~ ( mrel @ SV238 @ SV366 ) )
= $true )
| ( ( ! [SY2262: $i] :
~ ( ~ ! [SY2263: mworld] :
( ~ ( mrel @ SV366 @ SY2263 )
| ~ ! [SY2030: mworld] :
( ~ ( mrel @ SY2263 @ SY2030 )
| ( member @ SY2262 @ ( intersection @ SV161 @ SV310 ) @ SY2030 ) )
| ~ ( ~ ! [SY1174: mworld] :
( ~ ( mrel @ SY2263 @ SY1174 )
| ( member @ SY2262 @ SV161 @ SY1174 ) )
| ~ ! [SY2032: mworld] :
( ~ ( mrel @ SY2263 @ SY2032 )
| ( member @ SY2262 @ SV310 @ SY2032 ) ) ) )
| ~ ! [SY2267: mworld] :
( ~ ( mrel @ SV366 @ SY2267 )
| ~ ~ ( ~ ! [SY1177: mworld] :
( ~ ( mrel @ SY2267 @ SY1177 )
| ( member @ SY2262 @ SV161 @ SY1177 ) )
| ~ ! [SY2035: mworld] :
( ~ ( mrel @ SY2267 @ SY2035 )
| ( member @ SY2262 @ SV310 @ SY2035 ) ) )
| ! [SY2036: mworld] :
( ~ ( mrel @ SY2267 @ SY2036 )
| ( member @ SY2262 @ ( intersection @ SV161 @ SV310 ) @ SY2036 ) ) ) ) )
= $true )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1100,plain,
! [SV81: mworld,SV311: $i,SV162: $i,SV367: mworld,SV239: mworld] :
( ( ( ~ ( mrel @ SV239 @ SV367 ) )
= $true )
| ( ( ~ ! [SY2271: mworld] :
( ~ ( mrel @ SV367 @ SY2271 )
| ( qmltpeq @ SV162 @ SV311 @ SY2271 ) )
| ! [SY2272: mworld] :
( ~ ( mrel @ SV367 @ SY2272 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SY2272 ) ) )
= $true )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1101,plain,
! [SV82: mworld,SV312: $i,SV163: $i,SV368: mworld,SV240: mworld] :
( ( ( ~ ( mrel @ SV240 @ SV368 ) )
= $true )
| ( ( ~ ! [SY2273: mworld] :
( ~ ( mrel @ SV368 @ SY2273 )
| ( qmltpeq @ SV163 @ SV312 @ SY2273 ) )
| ! [SY2274: mworld] :
( ~ ( mrel @ SV368 @ SY2274 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SY2274 ) ) )
= $true )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1102,plain,
! [SV83: mworld,SV313: $i,SV164: $i,SV369: mworld,SV241: mworld] :
( ( ( ~ ( mrel @ SV241 @ SV369 ) )
= $true )
| ( ( ~ ! [SY2275: mworld] :
( ~ ( mrel @ SV369 @ SY2275 )
| ( qmltpeq @ SV164 @ SV313 @ SY2275 ) )
| ! [SY2276: mworld] :
( ~ ( mrel @ SV369 @ SY2276 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SY2276 ) ) )
= $true )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1103,plain,
! [SV3: mworld,SV245: $i,SV86: $i,SV314: mworld,SV165: mworld] :
( ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( ! [SY2046: $i,SY2047: mworld] :
( ~ ( mrel @ SV314 @ SY2047 )
| ! [SY1658: $i,SY1659: mworld] :
( ~ ( mrel @ SY2047 @ SY1659 )
| ~ ! [SY1660: mworld] :
( ~ ( mrel @ SY1659 @ SY1660 )
| ( qmltpeq @ SV86 @ SV245 @ SY1660 ) )
| ! [SY1661: mworld] :
( ~ ( mrel @ SY1659 @ SY1661 )
| ( qmltpeq @ ( restrict @ SY2046 @ SV86 @ SY1658 ) @ ( restrict @ SY2046 @ SV245 @ SY1658 ) @ SY1661 ) ) ) ) )
= $true )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1104,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV166: mworld] :
( ( ( ! [SY1662: mworld] :
( ~ ( mrel @ SV166 @ SY1662 )
| ~ ! [SY1663: mworld] :
( ~ ( mrel @ SY1662 @ SY1663 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY1663 ) )
| ~ ( ~ ! [SY1664: mworld] :
( ~ ( mrel @ SY1662 @ SY1664 )
| ( member @ SV246 @ universal_class @ SY1664 ) )
| ~ ! [SY1665: mworld] :
( ~ ( mrel @ SY1662 @ SY1665 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY1665 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1105,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV166: mworld] :
( ( ( ! [SY1667: mworld] :
( ~ ( mrel @ SV166 @ SY1667 )
| ~ ~ ( ~ ! [SY1668: mworld] :
( ~ ( mrel @ SY1667 @ SY1668 )
| ( member @ SV246 @ universal_class @ SY1668 ) )
| ~ ! [SY1669: mworld] :
( ~ ( mrel @ SY1667 @ SY1669 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY1669 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
| ! [SY1671: mworld] :
( ~ ( mrel @ SY1667 @ SY1671 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY1671 ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1106,plain,
! [SV5: mworld,SV247: $i,SV88: $i,SV315: mworld,SV167: mworld] :
( ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( ! [SY2052: $i,SY2053: mworld] :
( ~ ( mrel @ SV315 @ SY2053 )
| ~ ! [SY1675: mworld] :
( ~ ( mrel @ SY2053 @ SY1675 )
| ( qmltpeq @ SV88 @ SV247 @ SY1675 ) )
| ! [SY1676: mworld] :
( ~ ( mrel @ SY2053 @ SY1676 )
| ( qmltpeq @ ( apply @ SV88 @ SY2052 ) @ ( apply @ SV247 @ SY2052 ) @ SY1676 ) ) ) )
= $true )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1107,plain,
! [SV6: mworld,SV248: $i,SV89: $i,SV316: mworld,SV168: mworld] :
( ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( ! [SY2056: $i,SY2057: mworld] :
( ~ ( mrel @ SV316 @ SY2057 )
| ! [SY1680: $i,SY1681: mworld] :
( ~ ( mrel @ SY2057 @ SY1681 )
| ~ ! [SY1682: mworld] :
( ~ ( mrel @ SY1681 @ SY1682 )
| ( qmltpeq @ SV89 @ SV248 @ SY1682 ) )
| ! [SY1683: mworld] :
( ~ ( mrel @ SY1681 @ SY1683 )
| ( qmltpeq @ ( restrict @ SV89 @ SY2056 @ SY1680 ) @ ( restrict @ SV248 @ SY2056 @ SY1680 ) @ SY1683 ) ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1108,plain,
! [SV7: mworld,SV249: $i,SV90: $i,SV317: mworld,SV169: mworld] :
( ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( ! [SY2062: $i,SY2063: mworld] :
( ~ ( mrel @ SV317 @ SY2063 )
| ~ ! [SY1687: mworld] :
( ~ ( mrel @ SY2063 @ SY1687 )
| ( qmltpeq @ SV90 @ SV249 @ SY1687 ) )
| ! [SY1688: mworld] :
( ~ ( mrel @ SY2063 @ SY1688 )
| ( qmltpeq @ ( compose @ SY2062 @ SV90 ) @ ( compose @ SY2062 @ SV249 ) @ SY1688 ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1109,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV170: mworld] :
( ( ( ! [SY1689: mworld] :
( ~ ( mrel @ SV170 @ SY1689 )
| ~ ! [SY1690: mworld] :
( ~ ( mrel @ SY1689 @ SY1690 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY1690 ) )
| ~ ! [SY1691: $i] :
~ ~ ( ~ ! [SY695: mworld] :
( ~ ( mrel @ SY1689 @ SY695 )
| ( member @ SV91 @ SY1691 @ SY695 ) )
| ~ ! [SY1693: mworld] :
( ~ ( mrel @ SY1689 @ SY1693 )
| ( member @ SY1691 @ SV250 @ SY1693 ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1023]) ).
thf(1110,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV170: mworld] :
( ( ( ! [SY1694: mworld] :
( ~ ( mrel @ SV170 @ SY1694 )
| ~ ~ ! [SY1695: $i] :
~ ~ ( ~ ! [SY699: mworld] :
( ~ ( mrel @ SY1694 @ SY699 )
| ( member @ SV91 @ SY1695 @ SY699 ) )
| ~ ! [SY1697: mworld] :
( ~ ( mrel @ SY1694 @ SY1697 )
| ( member @ SY1695 @ SV250 @ SY1697 ) ) )
| ! [SY1698: mworld] :
( ~ ( mrel @ SY1694 @ SY1698 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY1698 ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1111,plain,
! [SV9: mworld,SV251: $i,SV92: $i,SV318: mworld,SV171: mworld] :
( ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( ~ ! [SY2066: mworld] :
( ~ ( mrel @ SV318 @ SY2066 )
| ( qmltpeq @ SV92 @ SV251 @ SY2066 ) )
| ! [SY2067: mworld] :
( ~ ( mrel @ SV318 @ SY2067 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SY2067 ) ) )
= $true )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1112,plain,
! [SV10: mworld,SV252: $i,SV93: $i,SV319: mworld,SV172: mworld] :
( ( ( mrel @ SV172 @ SV319 )
= $false )
| ( ( qmltpeq @ ( apply @ SV93 @ SV252 ) @ ( sum_class @ ( image @ SV93 @ ( singleton @ SV252 ) ) ) @ SV319 )
= $true )
| ( ( mrel @ SV10 @ SV172 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1113,plain,
! [SV11: mworld,SV94: $i,SV253: $i,SV320: mworld,SV173: mworld] :
( ( ( mrel @ SV173 @ SV320 )
= $false )
| ( ( ! [SY2068: $i,SY2069: mworld] :
( ~ ( mrel @ SV320 @ SY2069 )
| ( qmltpeq @ ( restrict @ SV253 @ SV94 @ SY2068 ) @ ( intersection @ SV253 @ ( cross_product @ SV94 @ SY2068 ) ) @ SY2069 ) ) )
= $true )
| ( ( mrel @ SV11 @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1114,plain,
! [SV13: mworld,SV254: $i,SV96: $i,SV321: mworld,SV175: mworld] :
( ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( ! [SY2070: $i,SY2071: mworld] :
( ~ ( mrel @ SV321 @ SY2071 )
| ~ ! [SY1709: mworld] :
( ~ ( mrel @ SY2071 @ SY1709 )
| ( qmltpeq @ SV96 @ SV254 @ SY1709 ) )
| ! [SY1710: mworld] :
( ~ ( mrel @ SY2071 @ SY1710 )
| ( qmltpeq @ ( union @ SY2070 @ SV96 ) @ ( union @ SY2070 @ SV254 ) @ SY1710 ) ) ) )
= $true )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1115,plain,
! [SV14: mworld,SV255: $i,SV97: $i,SV322: mworld,SV176: mworld] :
( ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( ~ ! [SY2074: mworld] :
( ~ ( mrel @ SV322 @ SY2074 )
| ( qmltpeq @ SV97 @ SV255 @ SY2074 ) )
| ! [SY2075: mworld] :
( ~ ( mrel @ SV322 @ SY2075 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SY2075 ) ) )
= $true )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1116,plain,
! [SV15: mworld,SV256: $i,SV98: $i,SV323: mworld,SV177: mworld] :
( ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2076: mworld] :
( ~ ( mrel @ SV323 @ SY2076 )
| ( member @ SV98 @ universal_class @ SY2076 ) )
| ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
| ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1117,plain,
! [SV16: mworld,SV257: $i,SV99: $i,SV324: mworld,SV178: mworld] :
( ( ( mrel @ SV178 @ SV324 )
= $false )
| ( ( member @ ( unordered_pair @ SV99 @ SV257 ) @ universal_class @ SV324 )
= $true )
| ( ( mrel @ SV16 @ SV178 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1118,plain,
! [SV17: mworld,SV258: $i,SV100: $i,SV325: mworld,SV179: mworld] :
( ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( ~ ! [SY2079: mworld] :
( ~ ( mrel @ SV325 @ SY2079 )
| ( qmltpeq @ SV100 @ SV258 @ SY2079 ) )
| ! [SY2080: mworld] :
( ~ ( mrel @ SV325 @ SY2080 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SY2080 ) ) )
= $true )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1119,plain,
! [SV20: mworld,SV259: $i,SV103: $i,SV326: mworld,SV182: mworld] :
( ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( ! [SY2081: $i] :
~ ( ~ ! [SY2082: mworld] :
( ~ ( mrel @ SV326 @ SY2082 )
| ~ ! [SY1725: mworld] :
( ~ ( mrel @ SY2082 @ SY1725 )
| ( member @ SY2081 @ ( union @ SV103 @ SV259 ) @ SY1725 ) )
| ! [SY750: mworld] :
( ~ ( mrel @ SY2082 @ SY750 )
| ( member @ SY2081 @ SV103 @ SY750 ) )
| ! [SY1727: mworld] :
( ~ ( mrel @ SY2082 @ SY1727 )
| ( member @ SY2081 @ SV259 @ SY1727 ) ) )
| ~ ! [SY2086: mworld] :
( ~ ( mrel @ SV326 @ SY2086 )
| ~ ( ! [SY753: mworld] :
( ~ ( mrel @ SY2086 @ SY753 )
| ( member @ SY2081 @ SV103 @ SY753 ) )
| ! [SY1730: mworld] :
( ~ ( mrel @ SY2086 @ SY1730 )
| ( member @ SY2081 @ SV259 @ SY1730 ) ) )
| ! [SY1731: mworld] :
( ~ ( mrel @ SY2086 @ SY1731 )
| ( member @ SY2081 @ ( union @ SV103 @ SV259 ) @ SY1731 ) ) ) ) )
= $true )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1120,plain,
! [SV21: mworld,SV260: $i,SV104: $i,SV327: mworld,SV183: mworld] :
( ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( ! [SY2090: $i,SY2091: mworld] :
( ~ ( mrel @ SV327 @ SY2091 )
| ! [SY1735: $i,SY1736: mworld] :
( ~ ( mrel @ SY2091 @ SY1736 )
| ~ ! [SY1737: mworld] :
( ~ ( mrel @ SY1736 @ SY1737 )
| ( qmltpeq @ SV104 @ SV260 @ SY1737 ) )
| ! [SY1738: mworld] :
( ~ ( mrel @ SY1736 @ SY1738 )
| ( qmltpeq @ ( restrict @ SY2090 @ SY1735 @ SV104 ) @ ( restrict @ SY2090 @ SY1735 @ SV260 ) @ SY1738 ) ) ) ) )
= $true )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1121,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV185: mworld] :
( ( ( ! [SY1739: mworld] :
( ~ ( mrel @ SV185 @ SY1739 )
| ~ ! [SY1740: mworld] :
( ~ ( mrel @ SY1739 @ SY1740 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY1740 ) )
| ~ ( ~ ! [SY770: mworld] :
( ~ ( mrel @ SY1739 @ SY770 )
| ( member @ SV106 @ universal_class @ SY770 ) )
| ~ ! [SY1742: mworld] :
( ~ ( mrel @ SY1739 @ SY1742 )
| ( subclass @ SV106 @ SV261 @ SY1742 ) ) ) ) )
= $true )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1122,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV185: mworld] :
( ( ( ! [SY1743: mworld] :
( ~ ( mrel @ SV185 @ SY1743 )
| ~ ~ ( ~ ! [SY773: mworld] :
( ~ ( mrel @ SY1743 @ SY773 )
| ( member @ SV106 @ universal_class @ SY773 ) )
| ~ ! [SY1745: mworld] :
( ~ ( mrel @ SY1743 @ SY1745 )
| ( subclass @ SV106 @ SV261 @ SY1745 ) ) )
| ! [SY1746: mworld] :
( ~ ( mrel @ SY1743 @ SY1746 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY1746 ) ) ) )
= $true )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1123,plain,
! [SV24: mworld,SV262: $i,SV107: $i,SV328: mworld,SV186: mworld] :
( ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( ! [SY2096: $i,SY2097: mworld] :
( ~ ( mrel @ SV328 @ SY2097 )
| ~ ! [SY1750: mworld] :
( ~ ( mrel @ SY2097 @ SY1750 )
| ( qmltpeq @ SV107 @ SV262 @ SY1750 ) )
| ! [SY1751: mworld] :
( ~ ( mrel @ SY2097 @ SY1751 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SY2096 ) @ ( ordered_pair @ SV262 @ SY2096 ) @ SY1751 ) ) ) )
= $true )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1124,plain,
! [SV25: mworld,SV263: $i,SV108: $i,SV329: mworld,SV187: mworld] :
( ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( ! [SY2100: $i,SY2101: mworld] :
( ~ ( mrel @ SV329 @ SY2101 )
| ~ ~ ( ~ ! [SY1755: mworld] :
( ~ ( mrel @ SY2101 @ SY1755 )
| ( qmltpeq @ SV108 @ SV263 @ SY1755 ) )
| ~ ! [SY789: mworld] :
( ~ ( mrel @ SY2101 @ SY789 )
| ( subclass @ SV108 @ SY2100 @ SY789 ) ) )
| ! [SY1757: mworld] :
( ~ ( mrel @ SY2101 @ SY1757 )
| ( subclass @ SV263 @ SY2100 @ SY1757 ) ) ) )
= $true )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1125,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV188: mworld] :
( ( ( ! [SY1758: mworld] :
( ~ ( mrel @ SV188 @ SY1758 )
| ~ ! [SY1759: mworld] :
( ~ ( mrel @ SY1758 @ SY1759 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY1759 ) )
| ~ ( ~ ! [SY1760: mworld] :
( ~ ( mrel @ SY1758 @ SY1760 )
| ( member @ SV264 @ universal_class @ SY1760 ) )
| ~ ! [SY1761: mworld] :
( ~ ( mrel @ SY1758 @ SY1761 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY1761 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1126,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV188: mworld] :
( ( ( ! [SY1763: mworld] :
( ~ ( mrel @ SV188 @ SY1763 )
| ~ ~ ( ~ ! [SY1764: mworld] :
( ~ ( mrel @ SY1763 @ SY1764 )
| ( member @ SV264 @ universal_class @ SY1764 ) )
| ~ ! [SY1765: mworld] :
( ~ ( mrel @ SY1763 @ SY1765 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY1765 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
| ! [SY1767: mworld] :
( ~ ( mrel @ SY1763 @ SY1767 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY1767 ) ) ) )
= $true )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1127,plain,
! [SV27: mworld,SV265: $i,SV110: $i,SV330: mworld,SV189: mworld] :
( ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( ! [SY2105: $i,SY2106: mworld] :
( ~ ( mrel @ SV330 @ SY2106 )
| ~ ! [SY1771: mworld] :
( ~ ( mrel @ SY2106 @ SY1771 )
| ( qmltpeq @ SV110 @ SV265 @ SY1771 ) )
| ! [SY1772: mworld] :
( ~ ( mrel @ SY2106 @ SY1772 )
| ( qmltpeq @ ( intersection @ SV110 @ SY2105 ) @ ( intersection @ SV265 @ SY2105 ) @ SY1772 ) ) ) )
= $true )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1128,plain,
! [SV28: mworld,SV266: $i,SV111: $i,SV331: mworld,SV190: mworld] :
( ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( ! [SY2109: $i,SY2110: mworld] :
( ~ ( mrel @ SV331 @ SY2110 )
| ~ ! [SY1776: mworld] :
( ~ ( mrel @ SY2110 @ SY1776 )
| ( qmltpeq @ SV111 @ SV266 @ SY1776 ) )
| ! [SY1777: mworld] :
( ~ ( mrel @ SY2110 @ SY1777 )
| ( qmltpeq @ ( compose @ SV111 @ SY2109 ) @ ( compose @ SV266 @ SY2109 ) @ SY1777 ) ) ) )
= $true )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1129,plain,
! [SV30: mworld,SV112: $i,SV267: $i,SV332: mworld,SV191: mworld] :
( ( ( mrel @ SV191 @ SV332 )
= $false )
| ( ( subclass @ ( compose @ SV267 @ SV112 ) @ ( cross_product @ universal_class @ universal_class ) @ SV332 )
= $true )
| ( ( mrel @ SV30 @ SV191 )
= $false )
| ( ( mrel @ mactual @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1130,plain,
! [SV31: mworld,SV268: $i,SV113: $i,SV333: mworld,SV192: mworld] :
( ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( ~ ! [SY2113: mworld] :
( ~ ( mrel @ SV333 @ SY2113 )
| ( qmltpeq @ SV113 @ SV268 @ SY2113 ) )
| ! [SY2114: mworld] :
( ~ ( mrel @ SV333 @ SY2114 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SY2114 ) ) )
= $true )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1131,plain,
! [SV32: mworld,SV269: $i,SV114: $i,SV334: mworld,SV193: mworld] :
( ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( ! [SY2115: $i,SY2116: mworld] :
( ~ ( mrel @ SV334 @ SY2116 )
| ~ ~ ( ~ ! [SY1785: mworld] :
( ~ ( mrel @ SY2116 @ SY1785 )
| ( qmltpeq @ SV114 @ SV269 @ SY1785 ) )
| ~ ! [SY1786: mworld] :
( ~ ( mrel @ SY2116 @ SY1786 )
| ( qmltpeq @ SV269 @ SY2115 @ SY1786 ) ) )
| ! [SY832: mworld] :
( ~ ( mrel @ SY2116 @ SY832 )
| ( qmltpeq @ SV114 @ SY2115 @ SY832 ) ) ) )
= $true )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1132,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV194: mworld] :
( ( ( ! [SY1788: mworld] :
( ~ ( mrel @ SV194 @ SY1788 )
| ~ ! [SY1789: mworld] :
( ~ ( mrel @ SY1788 @ SY1789 )
| ( subclass @ SV115 @ SV270 @ SY1789 ) )
| ! [SY1790: mworld] :
( ~ ( mrel @ SY1788 @ SY1790 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY1790 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1133,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV194: mworld] :
( ( ( ! [SY1795: mworld] :
( ~ ( mrel @ SV194 @ SY1795 )
| ~ ! [SY1796: mworld] :
( ~ ( mrel @ SY1795 @ SY1796 )
| ! [SY1797: $i,SY1798: mworld] :
( ~ ( mrel @ SY1796 @ SY1798 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY1798 @ SY846 )
| ( member @ SY1797 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY1798 @ SY1800 )
| ( member @ SY1797 @ SV270 @ SY1800 ) ) ) )
| ! [SY1801: mworld] :
( ~ ( mrel @ SY1795 @ SY1801 )
| ( subclass @ SV115 @ SV270 @ SY1801 ) ) ) )
= $true )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1134,plain,
! [SV34: mworld,SV271: $i,SV116: $i,SV335: mworld,SV195: mworld] :
( ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2120: mworld] :
( ~ ( mrel @ SV335 @ SY2120 )
| ( qmltpeq @ SV116 @ SV271 @ SY2120 ) )
| ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
| ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1135,plain,
! [SV35: mworld,SV272: $i,SV117: $i,SV336: mworld,SV196: mworld] :
( ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( ~ ! [SY2123: mworld] :
( ~ ( mrel @ SV336 @ SY2123 )
| ( qmltpeq @ SV117 @ SV272 @ SY2123 ) )
| ! [SY2124: mworld] :
( ~ ( mrel @ SV336 @ SY2124 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SY2124 ) ) )
= $true )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1049]) ).
thf(1136,plain,
! [SV36: mworld,SV273: $i,SV118: $i,SV337: mworld,SV197: mworld] :
( ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( ! [SY2125: $i,SY2126: mworld] :
( ~ ( mrel @ SV337 @ SY2126 )
| ~ ! [SY1812: mworld] :
( ~ ( mrel @ SY2126 @ SY1812 )
| ( qmltpeq @ SV118 @ SV273 @ SY1812 ) )
| ! [SY1813: mworld] :
( ~ ( mrel @ SY2126 @ SY1813 )
| ( qmltpeq @ ( apply @ SY2125 @ SV118 ) @ ( apply @ SY2125 @ SV273 ) @ SY1813 ) ) ) )
= $true )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1137,plain,
! [SV37: mworld,SV274: $i,SV119: $i,SV338: mworld,SV198: mworld] :
( ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( ! [SY2129: $i,SY2130: mworld] :
( ~ ( mrel @ SV338 @ SY2130 )
| ~ ! [SY1817: mworld] :
( ~ ( mrel @ SY2130 @ SY1817 )
| ( qmltpeq @ SV119 @ SV274 @ SY1817 ) )
| ! [SY1818: mworld] :
( ~ ( mrel @ SY2130 @ SY1818 )
| ( qmltpeq @ ( cross_product @ SY2129 @ SV119 ) @ ( cross_product @ SY2129 @ SV274 ) @ SY1818 ) ) ) )
= $true )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1138,plain,
! [SV120: $i,SV38: mworld,SV199: mworld] :
( ( ( ~ ( mrel @ SV199 @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) ) )
= $false )
| ( ( ! [SY1390: mworld] :
( ~ ( mrel @ SV199 @ SY1390 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SY1390 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1052]) ).
thf(1139,plain,
! [SV199: mworld,SV38: mworld,SV120: $i] :
( ( ( member @ SV120 @ universal_class @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) )
= $false )
| ( ( ! [SY1390: mworld] :
( ~ ( mrel @ SV199 @ SY1390 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SY1390 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1052]) ).
thf(1140,plain,
! [SV39: mworld,SV275: $i,SV121: $i,SV339: mworld,SV200: mworld] :
( ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( ! [SY2133: $i,SY2134: mworld] :
( ~ ( mrel @ SV339 @ SY2134 )
| ~ ~ ( ~ ! [SY1822: mworld] :
( ~ ( mrel @ SY2134 @ SY1822 )
| ( qmltpeq @ SV121 @ SV275 @ SY1822 ) )
| ~ ! [SY883: mworld] :
( ~ ( mrel @ SY2134 @ SY883 )
| ( subclass @ SY2133 @ SV121 @ SY883 ) ) )
| ! [SY1824: mworld] :
( ~ ( mrel @ SY2134 @ SY1824 )
| ( subclass @ SY2133 @ SV275 @ SY1824 ) ) ) )
= $true )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1141,plain,
! [SV40: mworld,SV276: $i,SV122: $i,SV340: mworld,SV201: mworld] :
( ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( ! [SY2138: $i,SY2139: mworld] :
( ~ ( mrel @ SV340 @ SY2139 )
| ~ ! [SY1828: mworld] :
( ~ ( mrel @ SY2139 @ SY1828 )
| ( qmltpeq @ SV122 @ SV276 @ SY1828 ) )
| ! [SY1829: mworld] :
( ~ ( mrel @ SY2139 @ SY1829 )
| ( qmltpeq @ ( ordered_pair @ SY2138 @ SV122 ) @ ( ordered_pair @ SY2138 @ SV276 ) @ SY1829 ) ) ) )
= $true )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1142,plain,
! [SV41: mworld,SV277: $i,SV123: $i,SV341: mworld,SV202: mworld] :
( ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( ! [SY2142: $i,SY2143: mworld] :
( ~ ( mrel @ SV341 @ SY2143 )
| ~ ! [SY1833: mworld] :
( ~ ( mrel @ SY2143 @ SY1833 )
| ( qmltpeq @ SV123 @ SV277 @ SY1833 ) )
| ! [SY1834: mworld] :
( ~ ( mrel @ SY2143 @ SY1834 )
| ( qmltpeq @ ( image @ SY2142 @ SV123 ) @ ( image @ SY2142 @ SV277 ) @ SY1834 ) ) ) )
= $true )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1143,plain,
! [SV42: mworld,SV278: $i,SV124: $i,SV342: mworld,SV203: mworld] :
( ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( ! [SY2146: $i,SY2147: mworld] :
( ~ ( mrel @ SV342 @ SY2147 )
| ~ ~ ( ~ ! [SY1838: mworld] :
( ~ ( mrel @ SY2147 @ SY1838 )
| ( qmltpeq @ SV124 @ SV278 @ SY1838 ) )
| ~ ! [SY905: mworld] :
( ~ ( mrel @ SY2147 @ SY905 )
| ( member @ SV124 @ SY2146 @ SY905 ) ) )
| ! [SY1840: mworld] :
( ~ ( mrel @ SY2147 @ SY1840 )
| ( member @ SV278 @ SY2146 @ SY1840 ) ) ) )
= $true )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1144,plain,
! [SV125: $i,SV43: mworld,SV204: mworld] :
( ( ( ~ ( mrel @ SV204 @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) ) )
= $false )
| ( ( ! [SY1418: mworld] :
( ~ ( mrel @ SV204 @ SY1418 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SY1418 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1145,plain,
! [SV204: mworld,SV43: mworld,SV125: $i] :
( ( ( member @ SV125 @ universal_class @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) )
= $false )
| ( ( ! [SY1418: mworld] :
( ~ ( mrel @ SV204 @ SY1418 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SY1418 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1146,plain,
! [SV44: mworld,SV279: $i,SV126: $i,SV343: mworld,SV205: mworld] :
( ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( ! [SY2151: $i,SY2152: mworld] :
( ~ ( mrel @ SV343 @ SY2152 )
| ~ ! [SY1844: mworld] :
( ~ ( mrel @ SY2152 @ SY1844 )
| ( qmltpeq @ SV126 @ SV279 @ SY1844 ) )
| ! [SY1845: mworld] :
( ~ ( mrel @ SY2152 @ SY1845 )
| ( qmltpeq @ ( intersection @ SY2151 @ SV126 ) @ ( intersection @ SY2151 @ SV279 ) @ SY1845 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1147,plain,
! [SV45: mworld,SV280: $i,SV127: $i,SV344: mworld,SV206: mworld] :
( ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2155: mworld] :
( ~ ( mrel @ SV344 @ SY2155 )
| ( qmltpeq @ SV127 @ SV280 @ SY2155 ) )
| ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
| ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1148,plain,
! [SV46: mworld,SV281: $i,SV128: $i,SV345: mworld,SV207: mworld] :
( ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( ! [SY2158: $i,SY2159: mworld] :
( ~ ( mrel @ SV345 @ SY2159 )
| ~ ~ ( ~ ! [SY1853: mworld] :
( ~ ( mrel @ SY2159 @ SY1853 )
| ( qmltpeq @ SV128 @ SV281 @ SY1853 ) )
| ~ ! [SY929: mworld] :
( ~ ( mrel @ SY2159 @ SY929 )
| ( disjoint @ SV128 @ SY2158 @ SY929 ) ) )
| ! [SY1855: mworld] :
( ~ ( mrel @ SY2159 @ SY1855 )
| ( disjoint @ SV281 @ SY2158 @ SY1855 ) ) ) )
= $true )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1149,plain,
! [SV370: $i,SV373: mworld,SV243: mworld] :
( ( ( ~ ( mrel @ SV243 @ SV373 )
| ~ ! [SY2286: mworld] :
( ~ ( mrel @ SV373 @ SY2286 )
| ( member @ SV370 @ universal_class @ SY2286 ) )
| ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) )
| ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1061]) ).
thf(1150,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV209: mworld] :
( ( ( ! [SY1856: mworld] :
( ~ ( mrel @ SV209 @ SY1856 )
| ~ ! [SY1857: mworld] :
( ~ ( mrel @ SY1856 @ SY1857 )
| ( qmltpeq @ SV130 @ SV282 @ SY1857 ) )
| ~ ( ~ ! [SY1858: mworld] :
( ~ ( mrel @ SY1856 @ SY1858 )
| ( subclass @ SV130 @ SV282 @ SY1858 ) )
| ~ ! [SY1859: mworld] :
( ~ ( mrel @ SY1856 @ SY1859 )
| ( subclass @ SV282 @ SV130 @ SY1859 ) ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1062]) ).
thf(1151,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV209: mworld] :
( ( ( ! [SY1860: mworld] :
( ~ ( mrel @ SV209 @ SY1860 )
| ~ ~ ( ~ ! [SY1861: mworld] :
( ~ ( mrel @ SY1860 @ SY1861 )
| ( subclass @ SV130 @ SV282 @ SY1861 ) )
| ~ ! [SY1862: mworld] :
( ~ ( mrel @ SY1860 @ SY1862 )
| ( subclass @ SV282 @ SV130 @ SY1862 ) ) )
| ! [SY1863: mworld] :
( ~ ( mrel @ SY1860 @ SY1863 )
| ( qmltpeq @ SV130 @ SV282 @ SY1863 ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1063]) ).
thf(1152,plain,
! [SV50: mworld,SV283: $i,SV132: $i,SV346: mworld,SV211: mworld] :
( ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( ~ ! [SY2163: mworld] :
( ~ ( mrel @ SV346 @ SY2163 )
| ( qmltpeq @ SV132 @ SV283 @ SY2163 ) )
| ! [SY2164: mworld] :
( ~ ( mrel @ SV346 @ SY2164 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SY2164 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1153,plain,
! [SV51: mworld,SV284: $i,SV133: $i,SV347: mworld,SV212: mworld] :
( ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( ~ ! [SY2165: mworld] :
( ~ ( mrel @ SV347 @ SY2165 )
| ( qmltpeq @ SV133 @ SV284 @ SY2165 ) )
| ! [SY2166: mworld] :
( ~ ( mrel @ SV347 @ SY2166 )
| ( qmltpeq @ SV284 @ SV133 @ SY2166 ) ) )
= $true )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1154,plain,
! [SV371: mworld] :
( ( ( ~ ( mrel @ mactual @ SV371 ) )
= $true )
| ( ( inductive @ sK3_SX0 @ SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1155,plain,
! [SV372: mworld] :
( ( ( ~ ( mrel @ mactual @ SV372 ) )
= $true )
| ( ( ! [SY2281: $i,SY2282: mworld] :
( ~ ( mrel @ SV372 @ SY2282 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2282 @ SX4 )
| ( inductive @ SY2281 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY2282 @ SY645 )
| ( subclass @ sK3_SX0 @ SY2281 @ SY645 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1156,plain,
! [SV52: mworld,SV285: $i,SV134: $i,SV348: mworld,SV213: mworld] :
( ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( ~ ! [SY2167: mworld] :
( ~ ( mrel @ SV348 @ SY2167 )
| ( qmltpeq @ SV134 @ SV285 @ SY2167 ) )
| ! [SY2168: mworld] :
( ~ ( mrel @ SV348 @ SY2168 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SY2168 ) ) )
= $true )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1157,plain,
! [SV135: $i,SV53: mworld,SV214: mworld] :
( ( ( mrel @ SV214 @ ( sK6_SY1458 @ SV53 @ SV135 @ SV214 ) )
= $true )
| ( ( mrel @ SV53 @ SV214 )
= $false )
| ( ( mrel @ mactual @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1158,plain,
! [SV54: mworld,SV286: $i,SV136: $i,SV349: mworld,SV215: mworld] :
( ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( ! [SY2169: $i,SY2170: mworld] :
( ~ ( mrel @ SV349 @ SY2170 )
| ~ ~ ( ~ ! [SY1876: mworld] :
( ~ ( mrel @ SY2170 @ SY1876 )
| ( qmltpeq @ SV136 @ SV286 @ SY1876 ) )
| ~ ! [SY967: mworld] :
( ~ ( mrel @ SY2170 @ SY967 )
| ( disjoint @ SY2169 @ SV136 @ SY967 ) ) )
| ! [SY1878: mworld] :
( ~ ( mrel @ SY2170 @ SY1878 )
| ( disjoint @ SY2169 @ SV286 @ SY1878 ) ) ) )
= $true )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1159,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ~ ! [SY1879: mworld] :
( ~ ( mrel @ SV287 @ SY1879 )
| ( function @ SV137 @ SY1879 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1160,plain,
! [SV55: mworld,SV137: $i,SV288: mworld] :
( ( ( ~ ~ ( ~ ! [SY1882: mworld] :
( ~ ( mrel @ SV288 @ SY1882 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1882 ) )
| ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1073]) ).
thf(1161,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV216: mworld] :
( ( ( ! [SY1885: mworld] :
( ~ ( mrel @ SV216 @ SY1885 )
| ~ ! [SY1886: mworld] :
( ~ ( mrel @ SY1885 @ SY1886 )
| ( disjoint @ SV138 @ SV289 @ SY1886 ) )
| ! [SY1887: mworld] :
( ~ ( mrel @ SY1885 @ SY1887 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY1887 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1162,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV216: mworld] :
( ( ( ! [SY1892: mworld] :
( ~ ( mrel @ SV216 @ SY1892 )
| ~ ! [SY1893: mworld] :
( ~ ( mrel @ SY1892 @ SY1893 )
| ! [SY1894: $i,SY1895: mworld] :
( ~ ( mrel @ SY1893 @ SY1895 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY1895 @ SY990 )
| ( member @ SY1894 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY1895 @ SY1897 )
| ( member @ SY1894 @ SV289 @ SY1897 ) ) ) ) )
| ! [SY1898: mworld] :
( ~ ( mrel @ SY1892 @ SY1898 )
| ( disjoint @ SV138 @ SV289 @ SY1898 ) ) ) )
= $true )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1163,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV217: mworld] :
( ( ( ! [SY1899: mworld] :
( ~ ( mrel @ SV217 @ SY1899 )
| ~ ! [SY1900: mworld] :
( ~ ( mrel @ SY1899 @ SY1900 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY1900 ) )
| ~ ( ~ ! [SY997: mworld] :
( ~ ( mrel @ SY1899 @ SY997 )
| ( member @ SV139 @ universal_class @ SY997 ) )
| ~ ~ ( ~ ! [SY1902: mworld] :
( ~ ( mrel @ SY1899 @ SY1902 )
| ( member @ SV290 @ universal_class @ SY1902 ) )
| ~ ! [SY1903: mworld] :
( ~ ( mrel @ SY1899 @ SY1903 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY1903 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1076]) ).
thf(1164,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV217: mworld] :
( ( ( ! [SY1904: mworld] :
( ~ ( mrel @ SV217 @ SY1904 )
| ~ ~ ( ~ ! [SY1001: mworld] :
( ~ ( mrel @ SY1904 @ SY1001 )
| ( member @ SV139 @ universal_class @ SY1001 ) )
| ~ ~ ( ~ ! [SY1906: mworld] :
( ~ ( mrel @ SY1904 @ SY1906 )
| ( member @ SV290 @ universal_class @ SY1906 ) )
| ~ ! [SY1907: mworld] :
( ~ ( mrel @ SY1904 @ SY1907 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY1907 ) ) ) )
| ! [SY1908: mworld] :
( ~ ( mrel @ SY1904 @ SY1908 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY1908 ) ) ) )
= $true )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1077]) ).
thf(1165,plain,
! [SV58: mworld,SV291: $i,SV140: $i,SV350: mworld,SV218: mworld] :
( ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( ! [SY2174: $i] :
~ ( ~ ! [SY2175: mworld] :
( ~ ( mrel @ SV350 @ SY2175 )
| ~ ! [SY1912: mworld] :
( ~ ( mrel @ SY2175 @ SY1912 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SY2174 ) @ SY1912 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY2175 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1914: mworld] :
( ~ ( mrel @ SY2175 @ SY1914 )
| ( qmltpeq @ SV140 @ SV291 @ SY1914 ) )
| ! [SY1013: mworld] :
( ~ ( mrel @ SY2175 @ SY1013 )
| ( qmltpeq @ SV140 @ SY2174 @ SY1013 ) ) ) ) )
| ~ ! [SY2180: mworld] :
( ~ ( mrel @ SV350 @ SY2180 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY2180 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1918: mworld] :
( ~ ( mrel @ SY2180 @ SY1918 )
| ( qmltpeq @ SV140 @ SV291 @ SY1918 ) )
| ! [SY1017: mworld] :
( ~ ( mrel @ SY2180 @ SY1017 )
| ( qmltpeq @ SV140 @ SY2174 @ SY1017 ) ) ) )
| ! [SY1920: mworld] :
( ~ ( mrel @ SY2180 @ SY1920 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SY2174 ) @ SY1920 ) ) ) ) )
= $true )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1166,plain,
! [SV60: mworld,SV292: $i,SV141: $i,SV351: mworld,SV219: mworld] :
( ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( ! [SY2185: $i,SY2186: mworld] :
( ~ ( mrel @ SV351 @ SY2186 )
| ~ ! [SY1924: mworld] :
( ~ ( mrel @ SY2186 @ SY1924 )
| ( member @ SY2185 @ ( cross_product @ SV141 @ SV292 ) @ SY1924 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2186 @ SX7 )
| ( qmltpeq @ SY2185 @ ( ordered_pair @ ( first @ SY2185 ) @ ( second @ SY2185 ) ) @ SX7 ) ) ) )
= $true )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1167,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ~ ! [SY1926: mworld] :
( ~ ( mrel @ SV293 @ SY1926 )
| ( inductive @ SV142 @ SY1926 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1168,plain,
! [SV61: mworld,SV142: $i,SV294: mworld] :
( ( ( ~ ~ ( ~ ! [SY1929: mworld] :
( ~ ( mrel @ SV294 @ SY1929 )
| ( member @ null_class @ SV142 @ SY1929 ) )
| ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1169,plain,
! [SV62: mworld,SV143: $i,SV295: $i,SV352: mworld,SV220: mworld] :
( ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( ! [SY2189: $i,SY2190: mworld] :
( ~ ( mrel @ SV352 @ SY2190 )
| ! [SY1935: $i] :
~ ( ~ ! [SY1936: mworld] :
( ~ ( mrel @ SY2190 @ SY1936 )
| ~ ! [SY1937: mworld] :
( ~ ( mrel @ SY1936 @ SY1937 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( rotate @ SV143 ) @ SY1937 ) )
| ~ ( ~ ! [SY1938: mworld] :
( ~ ( mrel @ SY1936 @ SY1938 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1938 ) )
| ~ ! [SY1939: mworld] :
( ~ ( mrel @ SY1936 @ SY1939 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY2189 @ SY1935 ) @ SV295 ) @ SV143 @ SY1939 ) ) ) )
| ~ ! [SY1940: mworld] :
( ~ ( mrel @ SY2190 @ SY1940 )
| ~ ~ ( ~ ! [SY1941: mworld] :
( ~ ( mrel @ SY1940 @ SY1941 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1941 ) )
| ~ ! [SY1942: mworld] :
( ~ ( mrel @ SY1940 @ SY1942 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SY2189 @ SY1935 ) @ SV295 ) @ SV143 @ SY1942 ) ) )
| ! [SY1943: mworld] :
( ~ ( mrel @ SY1940 @ SY1943 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SY2189 ) @ SY1935 ) @ ( rotate @ SV143 ) @ SY1943 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1170,plain,
! [SV63: mworld,SV296: $i,SV144: $i,SV353: mworld,SV221: mworld] :
( ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( ~ ! [SY2200: mworld] :
( ~ ( mrel @ SV353 @ SY2200 )
| ( qmltpeq @ SV144 @ SV296 @ SY2200 ) )
| ! [SY2201: mworld] :
( ~ ( mrel @ SV353 @ SY2201 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SY2201 ) ) )
= $true )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1171,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) ) )
= $false )
| ( ( ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1172,plain,
! [SV222: mworld,SV145: $i,SV64: mworld] :
( ( ( ~ ! [SY2285: mworld] :
( ~ ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SY2285 )
| ( qmltpeq @ SV145 @ null_class @ SY2285 ) ) )
= $false )
| ( ( ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1173,plain,
! [SV65: mworld,SV297: $i,SV146: $i,SV223: mworld] :
( ( ( ! [SY1947: mworld] :
( ~ ( mrel @ SV223 @ SY1947 )
| ~ ! [SY1948: mworld] :
( ~ ( mrel @ SY1947 @ SY1948 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY1948 ) )
| ~ ( ~ ! [SY1949: mworld] :
( ~ ( mrel @ SY1947 @ SY1949 )
| ( member @ SV297 @ universal_class @ SY1949 ) )
| ~ ! [SY1950: mworld] :
( ~ ( mrel @ SY1947 @ SY1950 )
| ( member @ SV146 @ SV297 @ SY1950 ) ) ) ) )
= $true )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1174,plain,
! [SV65: mworld,SV146: $i,SV297: $i,SV223: mworld] :
( ( ( ! [SY1951: mworld] :
( ~ ( mrel @ SV223 @ SY1951 )
| ~ ~ ( ~ ! [SY1952: mworld] :
( ~ ( mrel @ SY1951 @ SY1952 )
| ( member @ SV297 @ universal_class @ SY1952 ) )
| ~ ! [SY1953: mworld] :
( ~ ( mrel @ SY1951 @ SY1953 )
| ( member @ SV146 @ SV297 @ SY1953 ) ) )
| ! [SY1954: mworld] :
( ~ ( mrel @ SY1951 @ SY1954 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY1954 ) ) ) )
= $true )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1086]) ).
thf(1175,plain,
! [SV66: mworld,SV298: $i,SV147: $i,SV354: mworld,SV224: mworld] :
( ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( ! [SY2202: $i,SY2203: mworld] :
( ~ ( mrel @ SV354 @ SY2203 )
| ~ ! [SY1958: mworld] :
( ~ ( mrel @ SY2203 @ SY1958 )
| ( qmltpeq @ SV147 @ SV298 @ SY1958 ) )
| ! [SY1959: mworld] :
( ~ ( mrel @ SY2203 @ SY1959 )
| ( qmltpeq @ ( unordered_pair @ SY2202 @ SV147 ) @ ( unordered_pair @ SY2202 @ SV298 ) @ SY1959 ) ) ) )
= $true )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1176,plain,
! [SV68: mworld,SV299: $i,SV149: $i,SV355: mworld,SV226: mworld] :
( ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( ! [SY2206: $i,SY2207: mworld] :
( ~ ( mrel @ SV355 @ SY2207 )
| ~ ! [SY1963: mworld] :
( ~ ( mrel @ SY2207 @ SY1963 )
| ( qmltpeq @ SV149 @ SV299 @ SY1963 ) )
| ! [SY1964: mworld] :
( ~ ( mrel @ SY2207 @ SY1964 )
| ( qmltpeq @ ( image @ SV149 @ SY2206 ) @ ( image @ SV299 @ SY2206 ) @ SY1964 ) ) ) )
= $true )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1177,plain,
! [SV69: mworld,SV300: $i,SV150: $i,SV356: mworld,SV227: mworld] :
( ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( ! [SY2210: $i,SY2211: mworld] :
( ~ ( mrel @ SV356 @ SY2211 )
| ~ ! [SY1968: mworld] :
( ~ ( mrel @ SY2211 @ SY1968 )
| ( qmltpeq @ SV150 @ SV300 @ SY1968 ) )
| ! [SY1969: mworld] :
( ~ ( mrel @ SY2211 @ SY1969 )
| ( qmltpeq @ ( cross_product @ SV150 @ SY2210 ) @ ( cross_product @ SV300 @ SY2210 ) @ SY1969 ) ) ) )
= $true )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1178,plain,
! [SV70: mworld,SV301: $i,SV151: $i,SV357: mworld,SV228: mworld] :
( ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( ! [SY2214: $i,SY2215: mworld] :
( ~ ( mrel @ SV357 @ SY2215 )
| ~ ! [SY1973: mworld] :
( ~ ( mrel @ SY2215 @ SY1973 )
| ( qmltpeq @ SV151 @ SV301 @ SY1973 ) )
| ! [SY1974: mworld] :
( ~ ( mrel @ SY2215 @ SY1974 )
| ( qmltpeq @ ( union @ SV151 @ SY2214 ) @ ( union @ SV301 @ SY2214 ) @ SY1974 ) ) ) )
= $true )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1179,plain,
! [SV71: mworld,SV302: $i,SV152: $i,SV358: mworld,SV229: mworld] :
( ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( ! [SY2218: $i,SY2219: mworld] :
( ~ ( mrel @ SV358 @ SY2219 )
| ~ ~ ( ~ ! [SY1978: mworld] :
( ~ ( mrel @ SY2219 @ SY1978 )
| ( qmltpeq @ SV152 @ SV302 @ SY1978 ) )
| ~ ! [SY1105: mworld] :
( ~ ( mrel @ SY2219 @ SY1105 )
| ( member @ SY2218 @ SV152 @ SY1105 ) ) )
| ! [SY1980: mworld] :
( ~ ( mrel @ SY2219 @ SY1980 )
| ( member @ SY2218 @ SV302 @ SY1980 ) ) ) )
= $true )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1180,plain,
! [SV73: mworld,SV303: $i,SV154: $i,SV359: mworld,SV231: mworld] :
( ( ( mrel @ SV231 @ SV359 )
= $false )
| ( ( qmltpeq @ ( ordered_pair @ SV154 @ SV303 ) @ ( unordered_pair @ ( singleton @ SV154 ) @ ( unordered_pair @ SV154 @ ( singleton @ SV303 ) ) ) @ SV359 )
= $true )
| ( ( mrel @ SV73 @ SV231 )
= $false )
| ( ( mrel @ mactual @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1181,plain,
! [SV74: mworld,SV304: $i,SV155: $i,SV360: mworld,SV232: mworld] :
( ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( ! [SY2223: $i,SY2224: mworld] :
( ~ ( mrel @ SV360 @ SY2224 )
| ~ ! [SY1985: mworld] :
( ~ ( mrel @ SY2224 @ SY1985 )
| ( qmltpeq @ SV155 @ SV304 @ SY1985 ) )
| ! [SY1986: mworld] :
( ~ ( mrel @ SY2224 @ SY1986 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SY2223 ) @ ( unordered_pair @ SV304 @ SY2223 ) @ SY1986 ) ) ) )
= $true )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1182,plain,
! [SV75: mworld,SV156: $i,SV305: $i,SV361: mworld,SV233: mworld] :
( ( ( mrel @ SV233 @ SV361 )
= $false )
| ( ( qmltpeq @ ( image @ SV305 @ SV156 ) @ ( range_of @ ( restrict @ SV305 @ SV156 @ universal_class ) ) @ SV361 )
= $true )
| ( ( mrel @ SV75 @ SV233 )
= $false )
| ( ( mrel @ mactual @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1183,plain,
! [SV76: mworld,SV306: $i,SV157: $i,SV362: mworld,SV234: mworld] :
( ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( ! [SY2227: $i,SY2228: mworld] :
( ~ ( mrel @ SV362 @ SY2228 )
| ! [SY1991: $i] :
~ ( ~ ! [SY1992: mworld] :
( ~ ( mrel @ SY2228 @ SY1992 )
| ~ ! [SY1993: mworld] :
( ~ ( mrel @ SY1992 @ SY1993 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( flip @ SY1991 ) @ SY1993 ) )
| ~ ( ~ ! [SY1994: mworld] :
( ~ ( mrel @ SY1992 @ SY1994 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1994 ) )
| ~ ! [SY1995: mworld] :
( ~ ( mrel @ SY1992 @ SY1995 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SY2227 ) @ SY1991 @ SY1995 ) ) ) )
| ~ ! [SY1996: mworld] :
( ~ ( mrel @ SY2228 @ SY1996 )
| ~ ~ ( ~ ! [SY1997: mworld] :
( ~ ( mrel @ SY1996 @ SY1997 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY1997 ) )
| ~ ! [SY1998: mworld] :
( ~ ( mrel @ SY1996 @ SY1998 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SY2227 ) @ SY1991 @ SY1998 ) ) )
| ! [SY1999: mworld] :
( ~ ( mrel @ SY1996 @ SY1999 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SY2227 ) @ ( flip @ SY1991 ) @ SY1999 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1184,plain,
! [SV77: mworld,SV158: $i,SV307: $i,SV363: mworld,SV235: mworld] :
( ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( ! [SY2238: $i,SY2239: mworld] :
( ~ ( mrel @ SV363 @ SY2239 )
| ! [SY2003: $i] :
~ ( ~ ! [SY2004: mworld] :
( ~ ( mrel @ SY2239 @ SY2004 )
| ~ ! [SY2005: mworld] :
( ~ ( mrel @ SY2004 @ SY2005 )
| ( member @ ( ordered_pair @ SY2238 @ SY2003 ) @ ( compose @ SV307 @ SV158 ) @ SY2005 ) )
| ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY2004 @ SX9 )
| ( member @ SY2238 @ universal_class @ SX9 ) )
| ~ ! [SY2007: mworld] :
( ~ ( mrel @ SY2004 @ SY2007 )
| ( member @ SY2003 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SY2238 ) ) ) @ SY2007 ) ) ) )
| ~ ! [SY2008: mworld] :
( ~ ( mrel @ SY2239 @ SY2008 )
| ~ ~ ( ~ ! [SX9: mworld] :
( ~ ( mrel @ SY2008 @ SX9 )
| ( member @ SY2238 @ universal_class @ SX9 ) )
| ~ ! [SY2010: mworld] :
( ~ ( mrel @ SY2008 @ SY2010 )
| ( member @ SY2003 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SY2238 ) ) ) @ SY2010 ) ) )
| ! [SY2011: mworld] :
( ~ ( mrel @ SY2008 @ SY2011 )
| ( member @ ( ordered_pair @ SY2238 @ SY2003 ) @ ( compose @ SV307 @ SV158 ) @ SY2011 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1185,plain,
! [SV78: mworld,SV308: $i,SV159: $i,SV364: mworld,SV236: mworld] :
( ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( ! [SY2249: $i,SY2250: mworld] :
( ~ ( mrel @ SV364 @ SY2250 )
| ! [SY2015: $i] :
~ ( ~ ! [SY2016: mworld] :
( ~ ( mrel @ SY2250 @ SY2016 )
| ~ ! [SY2017: mworld] :
( ~ ( mrel @ SY2016 @ SY2017 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SY2249 @ SY2015 ) @ SY2017 ) )
| ~ ( ~ ! [SY1157: mworld] :
( ~ ( mrel @ SY2016 @ SY1157 )
| ( member @ SV159 @ SY2249 @ SY1157 ) )
| ~ ! [SY2019: mworld] :
( ~ ( mrel @ SY2016 @ SY2019 )
| ( member @ SV308 @ SY2015 @ SY2019 ) ) ) )
| ~ ! [SY2020: mworld] :
( ~ ( mrel @ SY2250 @ SY2020 )
| ~ ~ ( ~ ! [SY1160: mworld] :
( ~ ( mrel @ SY2020 @ SY1160 )
| ( member @ SV159 @ SY2249 @ SY1160 ) )
| ~ ! [SY2022: mworld] :
( ~ ( mrel @ SY2020 @ SY2022 )
| ( member @ SV308 @ SY2015 @ SY2022 ) ) )
| ! [SY2023: mworld] :
( ~ ( mrel @ SY2020 @ SY2023 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SY2249 @ SY2015 ) @ SY2023 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1186,plain,
! [SV79: mworld,SV309: $i,SV160: $i,SV365: mworld,SV237: mworld] :
( ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( ~ ! [SY2260: mworld] :
( ~ ( mrel @ SV365 @ SY2260 )
| ( qmltpeq @ SV160 @ SV309 @ SY2260 ) )
| ! [SY2261: mworld] :
( ~ ( mrel @ SV365 @ SY2261 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SY2261 ) ) )
= $true )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1187,plain,
! [SV80: mworld,SV310: $i,SV161: $i,SV366: mworld,SV238: mworld] :
( ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( ! [SY2262: $i] :
~ ( ~ ! [SY2263: mworld] :
( ~ ( mrel @ SV366 @ SY2263 )
| ~ ! [SY2030: mworld] :
( ~ ( mrel @ SY2263 @ SY2030 )
| ( member @ SY2262 @ ( intersection @ SV161 @ SV310 ) @ SY2030 ) )
| ~ ( ~ ! [SY1174: mworld] :
( ~ ( mrel @ SY2263 @ SY1174 )
| ( member @ SY2262 @ SV161 @ SY1174 ) )
| ~ ! [SY2032: mworld] :
( ~ ( mrel @ SY2263 @ SY2032 )
| ( member @ SY2262 @ SV310 @ SY2032 ) ) ) )
| ~ ! [SY2267: mworld] :
( ~ ( mrel @ SV366 @ SY2267 )
| ~ ~ ( ~ ! [SY1177: mworld] :
( ~ ( mrel @ SY2267 @ SY1177 )
| ( member @ SY2262 @ SV161 @ SY1177 ) )
| ~ ! [SY2035: mworld] :
( ~ ( mrel @ SY2267 @ SY2035 )
| ( member @ SY2262 @ SV310 @ SY2035 ) ) )
| ! [SY2036: mworld] :
( ~ ( mrel @ SY2267 @ SY2036 )
| ( member @ SY2262 @ ( intersection @ SV161 @ SV310 ) @ SY2036 ) ) ) ) )
= $true )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1188,plain,
! [SV81: mworld,SV311: $i,SV162: $i,SV367: mworld,SV239: mworld] :
( ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( ~ ! [SY2271: mworld] :
( ~ ( mrel @ SV367 @ SY2271 )
| ( qmltpeq @ SV162 @ SV311 @ SY2271 ) )
| ! [SY2272: mworld] :
( ~ ( mrel @ SV367 @ SY2272 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SY2272 ) ) )
= $true )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1189,plain,
! [SV82: mworld,SV312: $i,SV163: $i,SV368: mworld,SV240: mworld] :
( ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( ~ ! [SY2273: mworld] :
( ~ ( mrel @ SV368 @ SY2273 )
| ( qmltpeq @ SV163 @ SV312 @ SY2273 ) )
| ! [SY2274: mworld] :
( ~ ( mrel @ SV368 @ SY2274 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SY2274 ) ) )
= $true )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1190,plain,
! [SV83: mworld,SV313: $i,SV164: $i,SV369: mworld,SV241: mworld] :
( ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( ~ ! [SY2275: mworld] :
( ~ ( mrel @ SV369 @ SY2275 )
| ( qmltpeq @ SV164 @ SV313 @ SY2275 ) )
| ! [SY2276: mworld] :
( ~ ( mrel @ SV369 @ SY2276 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SY2276 ) ) )
= $true )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1191,plain,
! [SV3: mworld,SV165: mworld,SV374: $i,SV245: $i,SV86: $i,SV314: mworld] :
( ( ( ! [SY2289: mworld] :
( ~ ( mrel @ SV314 @ SY2289 )
| ! [SY2290: $i,SY2291: mworld] :
( ~ ( mrel @ SY2289 @ SY2291 )
| ~ ! [SY1660: mworld] :
( ~ ( mrel @ SY2291 @ SY1660 )
| ( qmltpeq @ SV86 @ SV245 @ SY1660 ) )
| ! [SY2293: mworld] :
( ~ ( mrel @ SY2291 @ SY2293 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SY2290 ) @ ( restrict @ SV374 @ SV245 @ SY2290 ) @ SY2293 ) ) ) ) )
= $true )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1192,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV375: mworld,SV166: mworld] :
( ( ( ~ ( mrel @ SV166 @ SV375 )
| ~ ! [SY2294: mworld] :
( ~ ( mrel @ SV375 @ SY2294 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2294 ) )
| ~ ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1193,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV376: mworld,SV166: mworld] :
( ( ( ~ ( mrel @ SV166 @ SV376 )
| ~ ~ ( ~ ! [SY2298: mworld] :
( ~ ( mrel @ SV376 @ SY2298 )
| ( member @ SV246 @ universal_class @ SY2298 ) )
| ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
| ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1194,plain,
! [SV5: mworld,SV167: mworld,SV377: $i,SV247: $i,SV88: $i,SV315: mworld] :
( ( ( ! [SY2302: mworld] :
( ~ ( mrel @ SV315 @ SY2302 )
| ~ ! [SY1675: mworld] :
( ~ ( mrel @ SY2302 @ SY1675 )
| ( qmltpeq @ SV88 @ SV247 @ SY1675 ) )
| ! [SY2304: mworld] :
( ~ ( mrel @ SY2302 @ SY2304 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SY2304 ) ) ) )
= $true )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1195,plain,
! [SV6: mworld,SV168: mworld,SV378: $i,SV248: $i,SV89: $i,SV316: mworld] :
( ( ( ! [SY2305: mworld] :
( ~ ( mrel @ SV316 @ SY2305 )
| ! [SY2306: $i,SY2307: mworld] :
( ~ ( mrel @ SY2305 @ SY2307 )
| ~ ! [SY1682: mworld] :
( ~ ( mrel @ SY2307 @ SY1682 )
| ( qmltpeq @ SV89 @ SV248 @ SY1682 ) )
| ! [SY2309: mworld] :
( ~ ( mrel @ SY2307 @ SY2309 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SY2306 ) @ ( restrict @ SV248 @ SV378 @ SY2306 ) @ SY2309 ) ) ) ) )
= $true )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1107]) ).
thf(1196,plain,
! [SV7: mworld,SV169: mworld,SV379: $i,SV249: $i,SV90: $i,SV317: mworld] :
( ( ( ! [SY2310: mworld] :
( ~ ( mrel @ SV317 @ SY2310 )
| ~ ! [SY1687: mworld] :
( ~ ( mrel @ SY2310 @ SY1687 )
| ( qmltpeq @ SV90 @ SV249 @ SY1687 ) )
| ! [SY2312: mworld] :
( ~ ( mrel @ SY2310 @ SY2312 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SY2312 ) ) ) )
= $true )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1197,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV380: mworld,SV170: mworld] :
( ( ( ~ ( mrel @ SV170 @ SV380 )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SV380 @ SY2313 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2313 ) )
| ~ ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1198,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV381: mworld,SV170: mworld] :
( ( ( ~ ( mrel @ SV170 @ SV381 )
| ~ ~ ! [SY2317: $i] :
~ ~ ( ~ ! [SY2318: mworld] :
( ~ ( mrel @ SV381 @ SY2318 )
| ( member @ SV91 @ SY2317 @ SY2318 ) )
| ~ ! [SY2319: mworld] :
( ~ ( mrel @ SV381 @ SY2319 )
| ( member @ SY2317 @ SV250 @ SY2319 ) ) )
| ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1110]) ).
thf(1199,plain,
! [SV9: mworld,SV171: mworld,SV251: $i,SV92: $i,SV318: mworld] :
( ( ( ~ ! [SY2066: mworld] :
( ~ ( mrel @ SV318 @ SY2066 )
| ( qmltpeq @ SV92 @ SV251 @ SY2066 ) ) )
= $true )
| ( ( ! [SY2067: mworld] :
( ~ ( mrel @ SV318 @ SY2067 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SY2067 ) ) )
= $true )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1111]) ).
thf(1200,plain,
! [SV11: mworld,SV173: mworld,SV382: $i,SV94: $i,SV253: $i,SV320: mworld] :
( ( ( ! [SY2321: mworld] :
( ~ ( mrel @ SV320 @ SY2321 )
| ( qmltpeq @ ( restrict @ SV253 @ SV94 @ SV382 ) @ ( intersection @ SV253 @ ( cross_product @ SV94 @ SV382 ) ) @ SY2321 ) ) )
= $true )
| ( ( mrel @ SV173 @ SV320 )
= $false )
| ( ( mrel @ SV11 @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1201,plain,
! [SV13: mworld,SV175: mworld,SV383: $i,SV254: $i,SV96: $i,SV321: mworld] :
( ( ( ! [SY2322: mworld] :
( ~ ( mrel @ SV321 @ SY2322 )
| ~ ! [SY1709: mworld] :
( ~ ( mrel @ SY2322 @ SY1709 )
| ( qmltpeq @ SV96 @ SV254 @ SY1709 ) )
| ! [SY2324: mworld] :
( ~ ( mrel @ SY2322 @ SY2324 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SY2324 ) ) ) )
= $true )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1202,plain,
! [SV14: mworld,SV176: mworld,SV255: $i,SV97: $i,SV322: mworld] :
( ( ( ~ ! [SY2074: mworld] :
( ~ ( mrel @ SV322 @ SY2074 )
| ( qmltpeq @ SV97 @ SV255 @ SY2074 ) ) )
= $true )
| ( ( ! [SY2075: mworld] :
( ~ ( mrel @ SV322 @ SY2075 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SY2075 ) ) )
= $true )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1115]) ).
thf(1203,plain,
! [SV15: mworld,SV177: mworld,SV256: $i,SV98: $i,SV323: mworld] :
( ( ( ~ ~ ( ~ ! [SY2076: mworld] :
( ~ ( mrel @ SV323 @ SY2076 )
| ( member @ SV98 @ universal_class @ SY2076 ) )
| ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1116]) ).
thf(1204,plain,
! [SV17: mworld,SV179: mworld,SV258: $i,SV100: $i,SV325: mworld] :
( ( ( ~ ! [SY2079: mworld] :
( ~ ( mrel @ SV325 @ SY2079 )
| ( qmltpeq @ SV100 @ SV258 @ SY2079 ) ) )
= $true )
| ( ( ! [SY2080: mworld] :
( ~ ( mrel @ SV325 @ SY2080 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SY2080 ) ) )
= $true )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1118]) ).
thf(1205,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV326: mworld] :
( ( ( ~ ( ~ ! [SY2325: mworld] :
( ~ ( mrel @ SV326 @ SY2325 )
| ~ ! [SY2326: mworld] :
( ~ ( mrel @ SY2325 @ SY2326 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2326 ) )
| ! [SY2327: mworld] :
( ~ ( mrel @ SY2325 @ SY2327 )
| ( member @ SV384 @ SV103 @ SY2327 ) )
| ! [SY2328: mworld] :
( ~ ( mrel @ SY2325 @ SY2328 )
| ( member @ SV384 @ SV259 @ SY2328 ) ) )
| ~ ! [SY2329: mworld] :
( ~ ( mrel @ SV326 @ SY2329 )
| ~ ( ! [SY2330: mworld] :
( ~ ( mrel @ SY2329 @ SY2330 )
| ( member @ SV384 @ SV103 @ SY2330 ) )
| ! [SY2331: mworld] :
( ~ ( mrel @ SY2329 @ SY2331 )
| ( member @ SV384 @ SV259 @ SY2331 ) ) )
| ! [SY2332: mworld] :
( ~ ( mrel @ SY2329 @ SY2332 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2332 ) ) ) ) )
= $true )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1119]) ).
thf(1206,plain,
! [SV21: mworld,SV183: mworld,SV385: $i,SV260: $i,SV104: $i,SV327: mworld] :
( ( ( ! [SY2333: mworld] :
( ~ ( mrel @ SV327 @ SY2333 )
| ! [SY2334: $i,SY2335: mworld] :
( ~ ( mrel @ SY2333 @ SY2335 )
| ~ ! [SY1737: mworld] :
( ~ ( mrel @ SY2335 @ SY1737 )
| ( qmltpeq @ SV104 @ SV260 @ SY1737 ) )
| ! [SY2337: mworld] :
( ~ ( mrel @ SY2335 @ SY2337 )
| ( qmltpeq @ ( restrict @ SV385 @ SY2334 @ SV104 ) @ ( restrict @ SV385 @ SY2334 @ SV260 ) @ SY2337 ) ) ) ) )
= $true )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1207,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV386: mworld,SV185: mworld] :
( ( ( ~ ( mrel @ SV185 @ SV386 )
| ~ ! [SY2338: mworld] :
( ~ ( mrel @ SV386 @ SY2338 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2338 ) )
| ~ ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) ) )
= $true )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1208,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV387: mworld,SV185: mworld] :
( ( ( ~ ( mrel @ SV185 @ SV387 )
| ~ ~ ( ~ ! [SY2341: mworld] :
( ~ ( mrel @ SV387 @ SY2341 )
| ( member @ SV106 @ universal_class @ SY2341 ) )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
| ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1209,plain,
! [SV24: mworld,SV186: mworld,SV388: $i,SV262: $i,SV107: $i,SV328: mworld] :
( ( ( ! [SY2344: mworld] :
( ~ ( mrel @ SV328 @ SY2344 )
| ~ ! [SY1750: mworld] :
( ~ ( mrel @ SY2344 @ SY1750 )
| ( qmltpeq @ SV107 @ SV262 @ SY1750 ) )
| ! [SY2346: mworld] :
( ~ ( mrel @ SY2344 @ SY2346 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SY2346 ) ) ) )
= $true )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1210,plain,
! [SV25: mworld,SV187: mworld,SV389: $i,SV263: $i,SV108: $i,SV329: mworld] :
( ( ( ! [SY2347: mworld] :
( ~ ( mrel @ SV329 @ SY2347 )
| ~ ~ ( ~ ! [SY1755: mworld] :
( ~ ( mrel @ SY2347 @ SY1755 )
| ( qmltpeq @ SV108 @ SV263 @ SY1755 ) )
| ~ ! [SY2349: mworld] :
( ~ ( mrel @ SY2347 @ SY2349 )
| ( subclass @ SV108 @ SV389 @ SY2349 ) ) )
| ! [SY2350: mworld] :
( ~ ( mrel @ SY2347 @ SY2350 )
| ( subclass @ SV263 @ SV389 @ SY2350 ) ) ) )
= $true )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1211,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV390: mworld,SV188: mworld] :
( ( ( ~ ( mrel @ SV188 @ SV390 )
| ~ ! [SY2351: mworld] :
( ~ ( mrel @ SV390 @ SY2351 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2351 ) )
| ~ ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
= $true )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1212,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV391: mworld,SV188: mworld] :
( ( ( ~ ( mrel @ SV188 @ SV391 )
| ~ ~ ( ~ ! [SY2355: mworld] :
( ~ ( mrel @ SV391 @ SY2355 )
| ( member @ SV264 @ universal_class @ SY2355 ) )
| ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
| ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1213,plain,
! [SV27: mworld,SV189: mworld,SV392: $i,SV265: $i,SV110: $i,SV330: mworld] :
( ( ( ! [SY2359: mworld] :
( ~ ( mrel @ SV330 @ SY2359 )
| ~ ! [SY1771: mworld] :
( ~ ( mrel @ SY2359 @ SY1771 )
| ( qmltpeq @ SV110 @ SV265 @ SY1771 ) )
| ! [SY2361: mworld] :
( ~ ( mrel @ SY2359 @ SY2361 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SY2361 ) ) ) )
= $true )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1127]) ).
thf(1214,plain,
! [SV28: mworld,SV190: mworld,SV393: $i,SV266: $i,SV111: $i,SV331: mworld] :
( ( ( ! [SY2362: mworld] :
( ~ ( mrel @ SV331 @ SY2362 )
| ~ ! [SY1776: mworld] :
( ~ ( mrel @ SY2362 @ SY1776 )
| ( qmltpeq @ SV111 @ SV266 @ SY1776 ) )
| ! [SY2364: mworld] :
( ~ ( mrel @ SY2362 @ SY2364 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SY2364 ) ) ) )
= $true )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1215,plain,
! [SV31: mworld,SV192: mworld,SV268: $i,SV113: $i,SV333: mworld] :
( ( ( ~ ! [SY2113: mworld] :
( ~ ( mrel @ SV333 @ SY2113 )
| ( qmltpeq @ SV113 @ SV268 @ SY2113 ) ) )
= $true )
| ( ( ! [SY2114: mworld] :
( ~ ( mrel @ SV333 @ SY2114 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SY2114 ) ) )
= $true )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1216,plain,
! [SV32: mworld,SV193: mworld,SV394: $i,SV269: $i,SV114: $i,SV334: mworld] :
( ( ( ! [SY2365: mworld] :
( ~ ( mrel @ SV334 @ SY2365 )
| ~ ~ ( ~ ! [SY1785: mworld] :
( ~ ( mrel @ SY2365 @ SY1785 )
| ( qmltpeq @ SV114 @ SV269 @ SY1785 ) )
| ~ ! [SY2367: mworld] :
( ~ ( mrel @ SY2365 @ SY2367 )
| ( qmltpeq @ SV269 @ SV394 @ SY2367 ) ) )
| ! [SY2368: mworld] :
( ~ ( mrel @ SY2365 @ SY2368 )
| ( qmltpeq @ SV114 @ SV394 @ SY2368 ) ) ) )
= $true )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1217,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV395: mworld,SV194: mworld] :
( ( ( ~ ( mrel @ SV194 @ SV395 )
| ~ ! [SY2369: mworld] :
( ~ ( mrel @ SV395 @ SY2369 )
| ( subclass @ SV115 @ SV270 @ SY2369 ) )
| ! [SY2370: mworld] :
( ~ ( mrel @ SV395 @ SY2370 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY2370 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
= $true )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1132]) ).
thf(1218,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV396: mworld,SV194: mworld] :
( ( ( ~ ( mrel @ SV194 @ SV396 )
| ~ ! [SY2375: mworld] :
( ~ ( mrel @ SV396 @ SY2375 )
| ! [SY1797: $i,SY1798: mworld] :
( ~ ( mrel @ SY2375 @ SY1798 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY1798 @ SY846 )
| ( member @ SY1797 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY1798 @ SY1800 )
| ( member @ SY1797 @ SV270 @ SY1800 ) ) ) )
| ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1219,plain,
! [SV34: mworld,SV195: mworld,SV271: $i,SV116: $i,SV335: mworld] :
( ( ( ~ ~ ( ~ ! [SY2120: mworld] :
( ~ ( mrel @ SV335 @ SY2120 )
| ( qmltpeq @ SV116 @ SV271 @ SY2120 ) )
| ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1220,plain,
! [SV35: mworld,SV196: mworld,SV272: $i,SV117: $i,SV336: mworld] :
( ( ( ~ ! [SY2123: mworld] :
( ~ ( mrel @ SV336 @ SY2123 )
| ( qmltpeq @ SV117 @ SV272 @ SY2123 ) ) )
= $true )
| ( ( ! [SY2124: mworld] :
( ~ ( mrel @ SV336 @ SY2124 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SY2124 ) ) )
= $true )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1135]) ).
thf(1221,plain,
! [SV36: mworld,SV197: mworld,SV397: $i,SV273: $i,SV118: $i,SV337: mworld] :
( ( ( ! [SY2381: mworld] :
( ~ ( mrel @ SV337 @ SY2381 )
| ~ ! [SY1812: mworld] :
( ~ ( mrel @ SY2381 @ SY1812 )
| ( qmltpeq @ SV118 @ SV273 @ SY1812 ) )
| ! [SY2383: mworld] :
( ~ ( mrel @ SY2381 @ SY2383 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SY2383 ) ) ) )
= $true )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1222,plain,
! [SV37: mworld,SV198: mworld,SV398: $i,SV274: $i,SV119: $i,SV338: mworld] :
( ( ( ! [SY2384: mworld] :
( ~ ( mrel @ SV338 @ SY2384 )
| ~ ! [SY1817: mworld] :
( ~ ( mrel @ SY2384 @ SY1817 )
| ( qmltpeq @ SV119 @ SV274 @ SY1817 ) )
| ! [SY2386: mworld] :
( ~ ( mrel @ SY2384 @ SY2386 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SY2386 ) ) ) )
= $true )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1137]) ).
thf(1223,plain,
! [SV120: $i,SV38: mworld,SV199: mworld] :
( ( ( mrel @ SV199 @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) )
= $true )
| ( ( ! [SY1390: mworld] :
( ~ ( mrel @ SV199 @ SY1390 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SY1390 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1224,plain,
! [SV38: mworld,SV120: $i,SV399: mworld,SV199: mworld] :
( ( ( ~ ( mrel @ SV199 @ SV399 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SV399 ) )
= $true )
| ( ( member @ SV120 @ universal_class @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) )
= $false )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1225,plain,
! [SV39: mworld,SV200: mworld,SV400: $i,SV275: $i,SV121: $i,SV339: mworld] :
( ( ( ! [SY2387: mworld] :
( ~ ( mrel @ SV339 @ SY2387 )
| ~ ~ ( ~ ! [SY1822: mworld] :
( ~ ( mrel @ SY2387 @ SY1822 )
| ( qmltpeq @ SV121 @ SV275 @ SY1822 ) )
| ~ ! [SY2389: mworld] :
( ~ ( mrel @ SY2387 @ SY2389 )
| ( subclass @ SV400 @ SV121 @ SY2389 ) ) )
| ! [SY2390: mworld] :
( ~ ( mrel @ SY2387 @ SY2390 )
| ( subclass @ SV400 @ SV275 @ SY2390 ) ) ) )
= $true )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1226,plain,
! [SV40: mworld,SV201: mworld,SV401: $i,SV276: $i,SV122: $i,SV340: mworld] :
( ( ( ! [SY2391: mworld] :
( ~ ( mrel @ SV340 @ SY2391 )
| ~ ! [SY1828: mworld] :
( ~ ( mrel @ SY2391 @ SY1828 )
| ( qmltpeq @ SV122 @ SV276 @ SY1828 ) )
| ! [SY2393: mworld] :
( ~ ( mrel @ SY2391 @ SY2393 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SY2393 ) ) ) )
= $true )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1227,plain,
! [SV41: mworld,SV202: mworld,SV402: $i,SV277: $i,SV123: $i,SV341: mworld] :
( ( ( ! [SY2394: mworld] :
( ~ ( mrel @ SV341 @ SY2394 )
| ~ ! [SY1833: mworld] :
( ~ ( mrel @ SY2394 @ SY1833 )
| ( qmltpeq @ SV123 @ SV277 @ SY1833 ) )
| ! [SY2396: mworld] :
( ~ ( mrel @ SY2394 @ SY2396 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SY2396 ) ) ) )
= $true )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1228,plain,
! [SV42: mworld,SV203: mworld,SV403: $i,SV278: $i,SV124: $i,SV342: mworld] :
( ( ( ! [SY2397: mworld] :
( ~ ( mrel @ SV342 @ SY2397 )
| ~ ~ ( ~ ! [SY1838: mworld] :
( ~ ( mrel @ SY2397 @ SY1838 )
| ( qmltpeq @ SV124 @ SV278 @ SY1838 ) )
| ~ ! [SY2399: mworld] :
( ~ ( mrel @ SY2397 @ SY2399 )
| ( member @ SV124 @ SV403 @ SY2399 ) ) )
| ! [SY2400: mworld] :
( ~ ( mrel @ SY2397 @ SY2400 )
| ( member @ SV278 @ SV403 @ SY2400 ) ) ) )
= $true )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1229,plain,
! [SV125: $i,SV43: mworld,SV204: mworld] :
( ( ( mrel @ SV204 @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) )
= $true )
| ( ( ! [SY1418: mworld] :
( ~ ( mrel @ SV204 @ SY1418 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SY1418 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1230,plain,
! [SV43: mworld,SV125: $i,SV404: mworld,SV204: mworld] :
( ( ( ~ ( mrel @ SV204 @ SV404 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SV404 ) )
= $true )
| ( ( member @ SV125 @ universal_class @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) )
= $false )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1231,plain,
! [SV44: mworld,SV205: mworld,SV405: $i,SV279: $i,SV126: $i,SV343: mworld] :
( ( ( ! [SY2401: mworld] :
( ~ ( mrel @ SV343 @ SY2401 )
| ~ ! [SY1844: mworld] :
( ~ ( mrel @ SY2401 @ SY1844 )
| ( qmltpeq @ SV126 @ SV279 @ SY1844 ) )
| ! [SY2403: mworld] :
( ~ ( mrel @ SY2401 @ SY2403 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SY2403 ) ) ) )
= $true )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1232,plain,
! [SV45: mworld,SV206: mworld,SV280: $i,SV127: $i,SV344: mworld] :
( ( ( ~ ~ ( ~ ! [SY2155: mworld] :
( ~ ( mrel @ SV344 @ SY2155 )
| ( qmltpeq @ SV127 @ SV280 @ SY2155 ) )
| ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1147]) ).
thf(1233,plain,
! [SV46: mworld,SV207: mworld,SV406: $i,SV281: $i,SV128: $i,SV345: mworld] :
( ( ( ! [SY2404: mworld] :
( ~ ( mrel @ SV345 @ SY2404 )
| ~ ~ ( ~ ! [SY1853: mworld] :
( ~ ( mrel @ SY2404 @ SY1853 )
| ( qmltpeq @ SV128 @ SV281 @ SY1853 ) )
| ~ ! [SY2406: mworld] :
( ~ ( mrel @ SY2404 @ SY2406 )
| ( disjoint @ SV128 @ SV406 @ SY2406 ) ) )
| ! [SY2407: mworld] :
( ~ ( mrel @ SY2404 @ SY2407 )
| ( disjoint @ SV281 @ SV406 @ SY2407 ) ) ) )
= $true )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1234,plain,
! [SV370: $i,SV373: mworld,SV243: mworld] :
( ( ( ~ ( mrel @ SV243 @ SV373 ) )
= $true )
| ( ( ~ ! [SY2286: mworld] :
( ~ ( mrel @ SV373 @ SY2286 )
| ( member @ SV370 @ universal_class @ SY2286 ) )
| ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) )
| ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1149]) ).
thf(1235,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV407: mworld,SV209: mworld] :
( ( ( ~ ( mrel @ SV209 @ SV407 )
| ~ ! [SY2408: mworld] :
( ~ ( mrel @ SV407 @ SY2408 )
| ( qmltpeq @ SV130 @ SV282 @ SY2408 ) )
| ~ ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1236,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV408: mworld,SV209: mworld] :
( ( ( ~ ( mrel @ SV209 @ SV408 )
| ~ ~ ( ~ ! [SY2411: mworld] :
( ~ ( mrel @ SV408 @ SY2411 )
| ( subclass @ SV130 @ SV282 @ SY2411 ) )
| ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
| ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1237,plain,
! [SV50: mworld,SV211: mworld,SV283: $i,SV132: $i,SV346: mworld] :
( ( ( ~ ! [SY2163: mworld] :
( ~ ( mrel @ SV346 @ SY2163 )
| ( qmltpeq @ SV132 @ SV283 @ SY2163 ) ) )
= $true )
| ( ( ! [SY2164: mworld] :
( ~ ( mrel @ SV346 @ SY2164 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SY2164 ) ) )
= $true )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1238,plain,
! [SV51: mworld,SV212: mworld,SV284: $i,SV133: $i,SV347: mworld] :
( ( ( ~ ! [SY2165: mworld] :
( ~ ( mrel @ SV347 @ SY2165 )
| ( qmltpeq @ SV133 @ SV284 @ SY2165 ) ) )
= $true )
| ( ( ! [SY2166: mworld] :
( ~ ( mrel @ SV347 @ SY2166 )
| ( qmltpeq @ SV284 @ SV133 @ SY2166 ) ) )
= $true )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1153]) ).
thf(1239,plain,
! [SV371: mworld] :
( ( ( mrel @ mactual @ SV371 )
= $false )
| ( ( inductive @ sK3_SX0 @ SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1240,plain,
! [SV372: mworld] :
( ( ( mrel @ mactual @ SV372 )
= $false )
| ( ( ! [SY2281: $i,SY2282: mworld] :
( ~ ( mrel @ SV372 @ SY2282 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2282 @ SX4 )
| ( inductive @ SY2281 @ SX4 ) )
| ! [SY645: mworld] :
( ~ ( mrel @ SY2282 @ SY645 )
| ( subclass @ sK3_SX0 @ SY2281 @ SY645 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1241,plain,
! [SV52: mworld,SV213: mworld,SV285: $i,SV134: $i,SV348: mworld] :
( ( ( ~ ! [SY2167: mworld] :
( ~ ( mrel @ SV348 @ SY2167 )
| ( qmltpeq @ SV134 @ SV285 @ SY2167 ) ) )
= $true )
| ( ( ! [SY2168: mworld] :
( ~ ( mrel @ SV348 @ SY2168 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SY2168 ) ) )
= $true )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1242,plain,
! [SV54: mworld,SV215: mworld,SV409: $i,SV286: $i,SV136: $i,SV349: mworld] :
( ( ( ! [SY2414: mworld] :
( ~ ( mrel @ SV349 @ SY2414 )
| ~ ~ ( ~ ! [SY1876: mworld] :
( ~ ( mrel @ SY2414 @ SY1876 )
| ( qmltpeq @ SV136 @ SV286 @ SY1876 ) )
| ~ ! [SY2416: mworld] :
( ~ ( mrel @ SY2414 @ SY2416 )
| ( disjoint @ SV409 @ SV136 @ SY2416 ) ) )
| ! [SY2417: mworld] :
( ~ ( mrel @ SY2414 @ SY2417 )
| ( disjoint @ SV409 @ SV286 @ SY2417 ) ) ) )
= $true )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1243,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ! [SY1879: mworld] :
( ~ ( mrel @ SV287 @ SY1879 )
| ( function @ SV137 @ SY1879 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1244,plain,
! [SV55: mworld,SV137: $i,SV288: mworld] :
( ( ( ~ ( ~ ! [SY1882: mworld] :
( ~ ( mrel @ SV288 @ SY1882 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1882 ) )
| ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) ) )
= $false )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1245,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV410: mworld,SV216: mworld] :
( ( ( ~ ( mrel @ SV216 @ SV410 )
| ~ ! [SY2418: mworld] :
( ~ ( mrel @ SV410 @ SY2418 )
| ( disjoint @ SV138 @ SV289 @ SY2418 ) )
| ! [SY2419: mworld] :
( ~ ( mrel @ SV410 @ SY2419 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY2419 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1161]) ).
thf(1246,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV411: mworld,SV216: mworld] :
( ( ( ~ ( mrel @ SV216 @ SV411 )
| ~ ! [SY2424: mworld] :
( ~ ( mrel @ SV411 @ SY2424 )
| ! [SY1894: $i,SY1895: mworld] :
( ~ ( mrel @ SY2424 @ SY1895 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY1895 @ SY990 )
| ( member @ SY1894 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY1895 @ SY1897 )
| ( member @ SY1894 @ SV289 @ SY1897 ) ) ) ) )
| ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1162]) ).
thf(1247,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV412: mworld,SV217: mworld] :
( ( ( ~ ( mrel @ SV217 @ SV412 )
| ~ ! [SY2430: mworld] :
( ~ ( mrel @ SV412 @ SY2430 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2430 ) )
| ~ ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) ) )
= $true )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1248,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV413: mworld,SV217: mworld] :
( ( ( ~ ( mrel @ SV217 @ SV413 )
| ~ ~ ( ~ ! [SY2434: mworld] :
( ~ ( mrel @ SV413 @ SY2434 )
| ( member @ SV139 @ universal_class @ SY2434 ) )
| ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
| ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1249,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV350: mworld] :
( ( ( ~ ( ~ ! [SY2438: mworld] :
( ~ ( mrel @ SV350 @ SY2438 )
| ~ ! [SY2439: mworld] :
( ~ ( mrel @ SY2438 @ SY2439 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2439 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY2438 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1914: mworld] :
( ~ ( mrel @ SY2438 @ SY1914 )
| ( qmltpeq @ SV140 @ SV291 @ SY1914 ) )
| ! [SY2442: mworld] :
( ~ ( mrel @ SY2438 @ SY2442 )
| ( qmltpeq @ SV140 @ SV414 @ SY2442 ) ) ) ) )
| ~ ! [SY2443: mworld] :
( ~ ( mrel @ SV350 @ SY2443 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY2443 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1918: mworld] :
( ~ ( mrel @ SY2443 @ SY1918 )
| ( qmltpeq @ SV140 @ SV291 @ SY1918 ) )
| ! [SY2446: mworld] :
( ~ ( mrel @ SY2443 @ SY2446 )
| ( qmltpeq @ SV140 @ SV414 @ SY2446 ) ) ) )
| ! [SY2447: mworld] :
( ~ ( mrel @ SY2443 @ SY2447 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2447 ) ) ) ) )
= $true )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1165]) ).
thf(1250,plain,
! [SV60: mworld,SV219: mworld,SV292: $i,SV141: $i,SV415: $i,SV351: mworld] :
( ( ( ! [SY2448: mworld] :
( ~ ( mrel @ SV351 @ SY2448 )
| ~ ! [SY2449: mworld] :
( ~ ( mrel @ SY2448 @ SY2449 )
| ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ SY2449 ) )
| ! [SY2450: mworld] :
( ~ ( mrel @ SY2448 @ SY2450 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SY2450 ) ) ) )
= $true )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1166]) ).
thf(1251,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ! [SY1926: mworld] :
( ~ ( mrel @ SV293 @ SY1926 )
| ( inductive @ SV142 @ SY1926 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1252,plain,
! [SV61: mworld,SV142: $i,SV294: mworld] :
( ( ( ~ ( ~ ! [SY1929: mworld] :
( ~ ( mrel @ SV294 @ SY1929 )
| ( member @ null_class @ SV142 @ SY1929 ) )
| ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) ) )
= $false )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1253,plain,
! [SV62: mworld,SV220: mworld,SV143: $i,SV416: $i,SV295: $i,SV352: mworld] :
( ( ( ! [SY2451: mworld] :
( ~ ( mrel @ SV352 @ SY2451 )
| ! [SY2452: $i] :
~ ( ~ ! [SY2453: mworld] :
( ~ ( mrel @ SY2451 @ SY2453 )
| ~ ! [SY2454: mworld] :
( ~ ( mrel @ SY2453 @ SY2454 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2452 ) @ ( rotate @ SV143 ) @ SY2454 ) )
| ~ ( ~ ! [SY2455: mworld] :
( ~ ( mrel @ SY2453 @ SY2455 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2452 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2455 ) )
| ~ ! [SY2456: mworld] :
( ~ ( mrel @ SY2453 @ SY2456 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SY2452 ) @ SV295 ) @ SV143 @ SY2456 ) ) ) )
| ~ ! [SY2457: mworld] :
( ~ ( mrel @ SY2451 @ SY2457 )
| ~ ~ ( ~ ! [SY2458: mworld] :
( ~ ( mrel @ SY2457 @ SY2458 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2452 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2458 ) )
| ~ ! [SY2459: mworld] :
( ~ ( mrel @ SY2457 @ SY2459 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SY2452 ) @ SV295 ) @ SV143 @ SY2459 ) ) )
| ! [SY2460: mworld] :
( ~ ( mrel @ SY2457 @ SY2460 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2452 ) @ ( rotate @ SV143 ) @ SY2460 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1254,plain,
! [SV63: mworld,SV221: mworld,SV296: $i,SV144: $i,SV353: mworld] :
( ( ( ~ ! [SY2200: mworld] :
( ~ ( mrel @ SV353 @ SY2200 )
| ( qmltpeq @ SV144 @ SV296 @ SY2200 ) ) )
= $true )
| ( ( ! [SY2201: mworld] :
( ~ ( mrel @ SV353 @ SY2201 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SY2201 ) ) )
= $true )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1170]) ).
thf(1255,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1256,plain,
! [SV222: mworld,SV145: $i,SV64: mworld] :
( ( ( ! [SY2285: mworld] :
( ~ ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SY2285 )
| ( qmltpeq @ SV145 @ null_class @ SY2285 ) ) )
= $true )
| ( ( ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1257,plain,
! [SV65: mworld,SV297: $i,SV146: $i,SV417: mworld,SV223: mworld] :
( ( ( ~ ( mrel @ SV223 @ SV417 )
| ~ ! [SY2461: mworld] :
( ~ ( mrel @ SV417 @ SY2461 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2461 ) )
| ~ ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) ) )
= $true )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1258,plain,
! [SV65: mworld,SV146: $i,SV297: $i,SV418: mworld,SV223: mworld] :
( ( ( ~ ( mrel @ SV223 @ SV418 )
| ~ ~ ( ~ ! [SY2464: mworld] :
( ~ ( mrel @ SV418 @ SY2464 )
| ( member @ SV297 @ universal_class @ SY2464 ) )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
| ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1259,plain,
! [SV66: mworld,SV224: mworld,SV419: $i,SV298: $i,SV147: $i,SV354: mworld] :
( ( ( ! [SY2467: mworld] :
( ~ ( mrel @ SV354 @ SY2467 )
| ~ ! [SY1958: mworld] :
( ~ ( mrel @ SY2467 @ SY1958 )
| ( qmltpeq @ SV147 @ SV298 @ SY1958 ) )
| ! [SY2469: mworld] :
( ~ ( mrel @ SY2467 @ SY2469 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SY2469 ) ) ) )
= $true )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1260,plain,
! [SV68: mworld,SV226: mworld,SV420: $i,SV299: $i,SV149: $i,SV355: mworld] :
( ( ( ! [SY2470: mworld] :
( ~ ( mrel @ SV355 @ SY2470 )
| ~ ! [SY1963: mworld] :
( ~ ( mrel @ SY2470 @ SY1963 )
| ( qmltpeq @ SV149 @ SV299 @ SY1963 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SY2472 ) ) ) )
= $true )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1261,plain,
! [SV69: mworld,SV227: mworld,SV421: $i,SV300: $i,SV150: $i,SV356: mworld] :
( ( ( ! [SY2473: mworld] :
( ~ ( mrel @ SV356 @ SY2473 )
| ~ ! [SY1968: mworld] :
( ~ ( mrel @ SY2473 @ SY1968 )
| ( qmltpeq @ SV150 @ SV300 @ SY1968 ) )
| ! [SY2475: mworld] :
( ~ ( mrel @ SY2473 @ SY2475 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SY2475 ) ) ) )
= $true )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1262,plain,
! [SV70: mworld,SV228: mworld,SV422: $i,SV301: $i,SV151: $i,SV357: mworld] :
( ( ( ! [SY2476: mworld] :
( ~ ( mrel @ SV357 @ SY2476 )
| ~ ! [SY1973: mworld] :
( ~ ( mrel @ SY2476 @ SY1973 )
| ( qmltpeq @ SV151 @ SV301 @ SY1973 ) )
| ! [SY2478: mworld] :
( ~ ( mrel @ SY2476 @ SY2478 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SY2478 ) ) ) )
= $true )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1263,plain,
! [SV71: mworld,SV229: mworld,SV423: $i,SV302: $i,SV152: $i,SV358: mworld] :
( ( ( ! [SY2479: mworld] :
( ~ ( mrel @ SV358 @ SY2479 )
| ~ ~ ( ~ ! [SY1978: mworld] :
( ~ ( mrel @ SY2479 @ SY1978 )
| ( qmltpeq @ SV152 @ SV302 @ SY1978 ) )
| ~ ! [SY2481: mworld] :
( ~ ( mrel @ SY2479 @ SY2481 )
| ( member @ SV423 @ SV152 @ SY2481 ) ) )
| ! [SY2482: mworld] :
( ~ ( mrel @ SY2479 @ SY2482 )
| ( member @ SV423 @ SV302 @ SY2482 ) ) ) )
= $true )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1264,plain,
! [SV74: mworld,SV232: mworld,SV424: $i,SV304: $i,SV155: $i,SV360: mworld] :
( ( ( ! [SY2483: mworld] :
( ~ ( mrel @ SV360 @ SY2483 )
| ~ ! [SY1985: mworld] :
( ~ ( mrel @ SY2483 @ SY1985 )
| ( qmltpeq @ SV155 @ SV304 @ SY1985 ) )
| ! [SY2485: mworld] :
( ~ ( mrel @ SY2483 @ SY2485 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SY2485 ) ) ) )
= $true )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1265,plain,
! [SV76: mworld,SV234: mworld,SV425: $i,SV306: $i,SV157: $i,SV362: mworld] :
( ( ( ! [SY2486: mworld] :
( ~ ( mrel @ SV362 @ SY2486 )
| ! [SY2487: $i] :
~ ( ~ ! [SY2488: mworld] :
( ~ ( mrel @ SY2486 @ SY2488 )
| ~ ! [SY2489: mworld] :
( ~ ( mrel @ SY2488 @ SY2489 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SY2487 ) @ SY2489 ) )
| ~ ( ~ ! [SY2490: mworld] :
( ~ ( mrel @ SY2488 @ SY2490 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2490 ) )
| ~ ! [SY2491: mworld] :
( ~ ( mrel @ SY2488 @ SY2491 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SY2487 @ SY2491 ) ) ) )
| ~ ! [SY2492: mworld] :
( ~ ( mrel @ SY2486 @ SY2492 )
| ~ ~ ( ~ ! [SY2493: mworld] :
( ~ ( mrel @ SY2492 @ SY2493 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2493 ) )
| ~ ! [SY2494: mworld] :
( ~ ( mrel @ SY2492 @ SY2494 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SY2487 @ SY2494 ) ) )
| ! [SY2495: mworld] :
( ~ ( mrel @ SY2492 @ SY2495 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SY2487 ) @ SY2495 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1183]) ).
thf(1266,plain,
! [SV77: mworld,SV235: mworld,SV158: $i,SV307: $i,SV426: $i,SV363: mworld] :
( ( ( ! [SY2496: mworld] :
( ~ ( mrel @ SV363 @ SY2496 )
| ! [SY2497: $i] :
~ ( ~ ! [SY2498: mworld] :
( ~ ( mrel @ SY2496 @ SY2498 )
| ~ ! [SY2499: mworld] :
( ~ ( mrel @ SY2498 @ SY2499 )
| ( member @ ( ordered_pair @ SV426 @ SY2497 ) @ ( compose @ SV307 @ SV158 ) @ SY2499 ) )
| ~ ( ~ ! [SY2500: mworld] :
( ~ ( mrel @ SY2498 @ SY2500 )
| ( member @ SV426 @ universal_class @ SY2500 ) )
| ~ ! [SY2501: mworld] :
( ~ ( mrel @ SY2498 @ SY2501 )
| ( member @ SY2497 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2501 ) ) ) )
| ~ ! [SY2502: mworld] :
( ~ ( mrel @ SY2496 @ SY2502 )
| ~ ~ ( ~ ! [SY2503: mworld] :
( ~ ( mrel @ SY2502 @ SY2503 )
| ( member @ SV426 @ universal_class @ SY2503 ) )
| ~ ! [SY2504: mworld] :
( ~ ( mrel @ SY2502 @ SY2504 )
| ( member @ SY2497 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2504 ) ) )
| ! [SY2505: mworld] :
( ~ ( mrel @ SY2502 @ SY2505 )
| ( member @ ( ordered_pair @ SV426 @ SY2497 ) @ ( compose @ SV307 @ SV158 ) @ SY2505 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1267,plain,
! [SV78: mworld,SV236: mworld,SV427: $i,SV308: $i,SV159: $i,SV364: mworld] :
( ( ( ! [SY2506: mworld] :
( ~ ( mrel @ SV364 @ SY2506 )
| ! [SY2507: $i] :
~ ( ~ ! [SY2508: mworld] :
( ~ ( mrel @ SY2506 @ SY2508 )
| ~ ! [SY2509: mworld] :
( ~ ( mrel @ SY2508 @ SY2509 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SY2507 ) @ SY2509 ) )
| ~ ( ~ ! [SY2510: mworld] :
( ~ ( mrel @ SY2508 @ SY2510 )
| ( member @ SV159 @ SV427 @ SY2510 ) )
| ~ ! [SY2019: mworld] :
( ~ ( mrel @ SY2508 @ SY2019 )
| ( member @ SV308 @ SY2507 @ SY2019 ) ) ) )
| ~ ! [SY2512: mworld] :
( ~ ( mrel @ SY2506 @ SY2512 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2512 @ SY2513 )
| ( member @ SV159 @ SV427 @ SY2513 ) )
| ~ ! [SY2022: mworld] :
( ~ ( mrel @ SY2512 @ SY2022 )
| ( member @ SV308 @ SY2507 @ SY2022 ) ) )
| ! [SY2515: mworld] :
( ~ ( mrel @ SY2512 @ SY2515 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SY2507 ) @ SY2515 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1185]) ).
thf(1268,plain,
! [SV79: mworld,SV237: mworld,SV309: $i,SV160: $i,SV365: mworld] :
( ( ( ~ ! [SY2260: mworld] :
( ~ ( mrel @ SV365 @ SY2260 )
| ( qmltpeq @ SV160 @ SV309 @ SY2260 ) ) )
= $true )
| ( ( ! [SY2261: mworld] :
( ~ ( mrel @ SV365 @ SY2261 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SY2261 ) ) )
= $true )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1269,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV366: mworld] :
( ( ( ~ ( ~ ! [SY2516: mworld] :
( ~ ( mrel @ SV366 @ SY2516 )
| ~ ! [SY2517: mworld] :
( ~ ( mrel @ SY2516 @ SY2517 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2517 ) )
| ~ ( ~ ! [SY2518: mworld] :
( ~ ( mrel @ SY2516 @ SY2518 )
| ( member @ SV428 @ SV161 @ SY2518 ) )
| ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2516 @ SY2519 )
| ( member @ SV428 @ SV310 @ SY2519 ) ) ) )
| ~ ! [SY2520: mworld] :
( ~ ( mrel @ SV366 @ SY2520 )
| ~ ~ ( ~ ! [SY2521: mworld] :
( ~ ( mrel @ SY2520 @ SY2521 )
| ( member @ SV428 @ SV161 @ SY2521 ) )
| ~ ! [SY2522: mworld] :
( ~ ( mrel @ SY2520 @ SY2522 )
| ( member @ SV428 @ SV310 @ SY2522 ) ) )
| ! [SY2523: mworld] :
( ~ ( mrel @ SY2520 @ SY2523 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2523 ) ) ) ) )
= $true )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1270,plain,
! [SV81: mworld,SV239: mworld,SV311: $i,SV162: $i,SV367: mworld] :
( ( ( ~ ! [SY2271: mworld] :
( ~ ( mrel @ SV367 @ SY2271 )
| ( qmltpeq @ SV162 @ SV311 @ SY2271 ) ) )
= $true )
| ( ( ! [SY2272: mworld] :
( ~ ( mrel @ SV367 @ SY2272 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SY2272 ) ) )
= $true )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1188]) ).
thf(1271,plain,
! [SV82: mworld,SV240: mworld,SV312: $i,SV163: $i,SV368: mworld] :
( ( ( ~ ! [SY2273: mworld] :
( ~ ( mrel @ SV368 @ SY2273 )
| ( qmltpeq @ SV163 @ SV312 @ SY2273 ) ) )
= $true )
| ( ( ! [SY2274: mworld] :
( ~ ( mrel @ SV368 @ SY2274 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SY2274 ) ) )
= $true )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1272,plain,
! [SV83: mworld,SV241: mworld,SV313: $i,SV164: $i,SV369: mworld] :
( ( ( ~ ! [SY2275: mworld] :
( ~ ( mrel @ SV369 @ SY2275 )
| ( qmltpeq @ SV164 @ SV313 @ SY2275 ) ) )
= $true )
| ( ( ! [SY2276: mworld] :
( ~ ( mrel @ SV369 @ SY2276 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SY2276 ) ) )
= $true )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1273,plain,
! [SV3: mworld,SV165: mworld,SV374: $i,SV245: $i,SV86: $i,SV429: mworld,SV314: mworld] :
( ( ( ~ ( mrel @ SV314 @ SV429 )
| ! [SY2524: $i,SY2525: mworld] :
( ~ ( mrel @ SV429 @ SY2525 )
| ~ ! [SY1660: mworld] :
( ~ ( mrel @ SY2525 @ SY1660 )
| ( qmltpeq @ SV86 @ SV245 @ SY1660 ) )
| ! [SY2293: mworld] :
( ~ ( mrel @ SY2525 @ SY2293 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SY2524 ) @ ( restrict @ SV374 @ SV245 @ SY2524 ) @ SY2293 ) ) ) )
= $true )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1191]) ).
thf(1274,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV375: mworld,SV166: mworld] :
( ( ( ~ ( mrel @ SV166 @ SV375 ) )
= $true )
| ( ( ~ ! [SY2294: mworld] :
( ~ ( mrel @ SV375 @ SY2294 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2294 ) )
| ~ ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1192]) ).
thf(1275,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV376: mworld,SV166: mworld] :
( ( ( ~ ( mrel @ SV166 @ SV376 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2298: mworld] :
( ~ ( mrel @ SV376 @ SY2298 )
| ( member @ SV246 @ universal_class @ SY2298 ) )
| ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
| ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1193]) ).
thf(1276,plain,
! [SV5: mworld,SV167: mworld,SV377: $i,SV247: $i,SV88: $i,SV430: mworld,SV315: mworld] :
( ( ( ~ ( mrel @ SV315 @ SV430 )
| ~ ! [SY2528: mworld] :
( ~ ( mrel @ SV430 @ SY2528 )
| ( qmltpeq @ SV88 @ SV247 @ SY2528 ) )
| ! [SY2529: mworld] :
( ~ ( mrel @ SV430 @ SY2529 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SY2529 ) ) )
= $true )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1277,plain,
! [SV6: mworld,SV168: mworld,SV378: $i,SV248: $i,SV89: $i,SV431: mworld,SV316: mworld] :
( ( ( ~ ( mrel @ SV316 @ SV431 )
| ! [SY2530: $i,SY2531: mworld] :
( ~ ( mrel @ SV431 @ SY2531 )
| ~ ! [SY1682: mworld] :
( ~ ( mrel @ SY2531 @ SY1682 )
| ( qmltpeq @ SV89 @ SV248 @ SY1682 ) )
| ! [SY2309: mworld] :
( ~ ( mrel @ SY2531 @ SY2309 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SY2530 ) @ ( restrict @ SV248 @ SV378 @ SY2530 ) @ SY2309 ) ) ) )
= $true )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1195]) ).
thf(1278,plain,
! [SV7: mworld,SV169: mworld,SV379: $i,SV249: $i,SV90: $i,SV432: mworld,SV317: mworld] :
( ( ( ~ ( mrel @ SV317 @ SV432 )
| ~ ! [SY2534: mworld] :
( ~ ( mrel @ SV432 @ SY2534 )
| ( qmltpeq @ SV90 @ SV249 @ SY2534 ) )
| ! [SY2535: mworld] :
( ~ ( mrel @ SV432 @ SY2535 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SY2535 ) ) )
= $true )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1279,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV380: mworld,SV170: mworld] :
( ( ( ~ ( mrel @ SV170 @ SV380 ) )
= $true )
| ( ( ~ ! [SY2313: mworld] :
( ~ ( mrel @ SV380 @ SY2313 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2313 ) )
| ~ ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1197]) ).
thf(1280,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV381: mworld,SV170: mworld] :
( ( ( ~ ( mrel @ SV170 @ SV381 ) )
= $true )
| ( ( ~ ~ ! [SY2317: $i] :
~ ~ ( ~ ! [SY2318: mworld] :
( ~ ( mrel @ SV381 @ SY2318 )
| ( member @ SV91 @ SY2317 @ SY2318 ) )
| ~ ! [SY2319: mworld] :
( ~ ( mrel @ SV381 @ SY2319 )
| ( member @ SY2317 @ SV250 @ SY2319 ) ) )
| ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1198]) ).
thf(1281,plain,
! [SV9: mworld,SV171: mworld,SV251: $i,SV92: $i,SV318: mworld] :
( ( ( ! [SY2066: mworld] :
( ~ ( mrel @ SV318 @ SY2066 )
| ( qmltpeq @ SV92 @ SV251 @ SY2066 ) ) )
= $false )
| ( ( ! [SY2067: mworld] :
( ~ ( mrel @ SV318 @ SY2067 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SY2067 ) ) )
= $true )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1282,plain,
! [SV11: mworld,SV173: mworld,SV382: $i,SV94: $i,SV253: $i,SV433: mworld,SV320: mworld] :
( ( ( ~ ( mrel @ SV320 @ SV433 )
| ( qmltpeq @ ( restrict @ SV253 @ SV94 @ SV382 ) @ ( intersection @ SV253 @ ( cross_product @ SV94 @ SV382 ) ) @ SV433 ) )
= $true )
| ( ( mrel @ SV173 @ SV320 )
= $false )
| ( ( mrel @ SV11 @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1200]) ).
thf(1283,plain,
! [SV13: mworld,SV175: mworld,SV383: $i,SV254: $i,SV96: $i,SV434: mworld,SV321: mworld] :
( ( ( ~ ( mrel @ SV321 @ SV434 )
| ~ ! [SY2536: mworld] :
( ~ ( mrel @ SV434 @ SY2536 )
| ( qmltpeq @ SV96 @ SV254 @ SY2536 ) )
| ! [SY2537: mworld] :
( ~ ( mrel @ SV434 @ SY2537 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SY2537 ) ) )
= $true )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1284,plain,
! [SV14: mworld,SV176: mworld,SV255: $i,SV97: $i,SV322: mworld] :
( ( ( ! [SY2074: mworld] :
( ~ ( mrel @ SV322 @ SY2074 )
| ( qmltpeq @ SV97 @ SV255 @ SY2074 ) ) )
= $false )
| ( ( ! [SY2075: mworld] :
( ~ ( mrel @ SV322 @ SY2075 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SY2075 ) ) )
= $true )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1285,plain,
! [SV15: mworld,SV177: mworld,SV256: $i,SV98: $i,SV323: mworld] :
( ( ( ~ ( ~ ! [SY2076: mworld] :
( ~ ( mrel @ SV323 @ SY2076 )
| ( member @ SV98 @ universal_class @ SY2076 ) )
| ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) ) )
= $false )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1286,plain,
! [SV17: mworld,SV179: mworld,SV258: $i,SV100: $i,SV325: mworld] :
( ( ( ! [SY2079: mworld] :
( ~ ( mrel @ SV325 @ SY2079 )
| ( qmltpeq @ SV100 @ SV258 @ SY2079 ) ) )
= $false )
| ( ( ! [SY2080: mworld] :
( ~ ( mrel @ SV325 @ SY2080 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SY2080 ) ) )
= $true )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1287,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV326: mworld] :
( ( ( ~ ! [SY2325: mworld] :
( ~ ( mrel @ SV326 @ SY2325 )
| ~ ! [SY2326: mworld] :
( ~ ( mrel @ SY2325 @ SY2326 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2326 ) )
| ! [SY2327: mworld] :
( ~ ( mrel @ SY2325 @ SY2327 )
| ( member @ SV384 @ SV103 @ SY2327 ) )
| ! [SY2328: mworld] :
( ~ ( mrel @ SY2325 @ SY2328 )
| ( member @ SV384 @ SV259 @ SY2328 ) ) )
| ~ ! [SY2329: mworld] :
( ~ ( mrel @ SV326 @ SY2329 )
| ~ ( ! [SY2330: mworld] :
( ~ ( mrel @ SY2329 @ SY2330 )
| ( member @ SV384 @ SV103 @ SY2330 ) )
| ! [SY2331: mworld] :
( ~ ( mrel @ SY2329 @ SY2331 )
| ( member @ SV384 @ SV259 @ SY2331 ) ) )
| ! [SY2332: mworld] :
( ~ ( mrel @ SY2329 @ SY2332 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2332 ) ) ) )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1288,plain,
! [SV21: mworld,SV183: mworld,SV385: $i,SV260: $i,SV104: $i,SV435: mworld,SV327: mworld] :
( ( ( ~ ( mrel @ SV327 @ SV435 )
| ! [SY2538: $i,SY2539: mworld] :
( ~ ( mrel @ SV435 @ SY2539 )
| ~ ! [SY1737: mworld] :
( ~ ( mrel @ SY2539 @ SY1737 )
| ( qmltpeq @ SV104 @ SV260 @ SY1737 ) )
| ! [SY2337: mworld] :
( ~ ( mrel @ SY2539 @ SY2337 )
| ( qmltpeq @ ( restrict @ SV385 @ SY2538 @ SV104 ) @ ( restrict @ SV385 @ SY2538 @ SV260 ) @ SY2337 ) ) ) )
= $true )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1206]) ).
thf(1289,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV386: mworld,SV185: mworld] :
( ( ( ~ ( mrel @ SV185 @ SV386 ) )
= $true )
| ( ( ~ ! [SY2338: mworld] :
( ~ ( mrel @ SV386 @ SY2338 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2338 ) )
| ~ ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) ) )
= $true )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1207]) ).
thf(1290,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV387: mworld,SV185: mworld] :
( ( ( ~ ( mrel @ SV185 @ SV387 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2341: mworld] :
( ~ ( mrel @ SV387 @ SY2341 )
| ( member @ SV106 @ universal_class @ SY2341 ) )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
| ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1291,plain,
! [SV24: mworld,SV186: mworld,SV388: $i,SV262: $i,SV107: $i,SV436: mworld,SV328: mworld] :
( ( ( ~ ( mrel @ SV328 @ SV436 )
| ~ ! [SY2542: mworld] :
( ~ ( mrel @ SV436 @ SY2542 )
| ( qmltpeq @ SV107 @ SV262 @ SY2542 ) )
| ! [SY2543: mworld] :
( ~ ( mrel @ SV436 @ SY2543 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SY2543 ) ) )
= $true )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1209]) ).
thf(1292,plain,
! [SV25: mworld,SV187: mworld,SV389: $i,SV263: $i,SV108: $i,SV437: mworld,SV329: mworld] :
( ( ( ~ ( mrel @ SV329 @ SV437 )
| ~ ~ ( ~ ! [SY2544: mworld] :
( ~ ( mrel @ SV437 @ SY2544 )
| ( qmltpeq @ SV108 @ SV263 @ SY2544 ) )
| ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1210]) ).
thf(1293,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV390: mworld,SV188: mworld] :
( ( ( ~ ( mrel @ SV188 @ SV390 ) )
= $true )
| ( ( ~ ! [SY2351: mworld] :
( ~ ( mrel @ SV390 @ SY2351 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2351 ) )
| ~ ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
= $true )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1294,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV391: mworld,SV188: mworld] :
( ( ( ~ ( mrel @ SV188 @ SV391 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2355: mworld] :
( ~ ( mrel @ SV391 @ SY2355 )
| ( member @ SV264 @ universal_class @ SY2355 ) )
| ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
| ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1212]) ).
thf(1295,plain,
! [SV27: mworld,SV189: mworld,SV392: $i,SV265: $i,SV110: $i,SV438: mworld,SV330: mworld] :
( ( ( ~ ( mrel @ SV330 @ SV438 )
| ~ ! [SY2547: mworld] :
( ~ ( mrel @ SV438 @ SY2547 )
| ( qmltpeq @ SV110 @ SV265 @ SY2547 ) )
| ! [SY2548: mworld] :
( ~ ( mrel @ SV438 @ SY2548 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SY2548 ) ) )
= $true )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1296,plain,
! [SV28: mworld,SV190: mworld,SV393: $i,SV266: $i,SV111: $i,SV439: mworld,SV331: mworld] :
( ( ( ~ ( mrel @ SV331 @ SV439 )
| ~ ! [SY2549: mworld] :
( ~ ( mrel @ SV439 @ SY2549 )
| ( qmltpeq @ SV111 @ SV266 @ SY2549 ) )
| ! [SY2550: mworld] :
( ~ ( mrel @ SV439 @ SY2550 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SY2550 ) ) )
= $true )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1297,plain,
! [SV31: mworld,SV192: mworld,SV268: $i,SV113: $i,SV333: mworld] :
( ( ( ! [SY2113: mworld] :
( ~ ( mrel @ SV333 @ SY2113 )
| ( qmltpeq @ SV113 @ SV268 @ SY2113 ) ) )
= $false )
| ( ( ! [SY2114: mworld] :
( ~ ( mrel @ SV333 @ SY2114 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SY2114 ) ) )
= $true )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1298,plain,
! [SV32: mworld,SV193: mworld,SV394: $i,SV269: $i,SV114: $i,SV440: mworld,SV334: mworld] :
( ( ( ~ ( mrel @ SV334 @ SV440 )
| ~ ~ ( ~ ! [SY2551: mworld] :
( ~ ( mrel @ SV440 @ SY2551 )
| ( qmltpeq @ SV114 @ SV269 @ SY2551 ) )
| ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
| ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1216]) ).
thf(1299,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV395: mworld,SV194: mworld] :
( ( ( ~ ( mrel @ SV194 @ SV395 ) )
= $true )
| ( ( ~ ! [SY2369: mworld] :
( ~ ( mrel @ SV395 @ SY2369 )
| ( subclass @ SV115 @ SV270 @ SY2369 ) )
| ! [SY2370: mworld] :
( ~ ( mrel @ SV395 @ SY2370 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY2370 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
= $true )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1217]) ).
thf(1300,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV396: mworld,SV194: mworld] :
( ( ( ~ ( mrel @ SV194 @ SV396 ) )
= $true )
| ( ( ~ ! [SY2375: mworld] :
( ~ ( mrel @ SV396 @ SY2375 )
| ! [SY1797: $i,SY1798: mworld] :
( ~ ( mrel @ SY2375 @ SY1798 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY1798 @ SY846 )
| ( member @ SY1797 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY1798 @ SY1800 )
| ( member @ SY1797 @ SV270 @ SY1800 ) ) ) )
| ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1218]) ).
thf(1301,plain,
! [SV34: mworld,SV195: mworld,SV271: $i,SV116: $i,SV335: mworld] :
( ( ( ~ ( ~ ! [SY2120: mworld] :
( ~ ( mrel @ SV335 @ SY2120 )
| ( qmltpeq @ SV116 @ SV271 @ SY2120 ) )
| ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) ) )
= $false )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1302,plain,
! [SV35: mworld,SV196: mworld,SV272: $i,SV117: $i,SV336: mworld] :
( ( ( ! [SY2123: mworld] :
( ~ ( mrel @ SV336 @ SY2123 )
| ( qmltpeq @ SV117 @ SV272 @ SY2123 ) ) )
= $false )
| ( ( ! [SY2124: mworld] :
( ~ ( mrel @ SV336 @ SY2124 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SY2124 ) ) )
= $true )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1303,plain,
! [SV36: mworld,SV197: mworld,SV397: $i,SV273: $i,SV118: $i,SV441: mworld,SV337: mworld] :
( ( ( ~ ( mrel @ SV337 @ SV441 )
| ~ ! [SY2554: mworld] :
( ~ ( mrel @ SV441 @ SY2554 )
| ( qmltpeq @ SV118 @ SV273 @ SY2554 ) )
| ! [SY2555: mworld] :
( ~ ( mrel @ SV441 @ SY2555 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SY2555 ) ) )
= $true )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1304,plain,
! [SV37: mworld,SV198: mworld,SV398: $i,SV274: $i,SV119: $i,SV442: mworld,SV338: mworld] :
( ( ( ~ ( mrel @ SV338 @ SV442 )
| ~ ! [SY2556: mworld] :
( ~ ( mrel @ SV442 @ SY2556 )
| ( qmltpeq @ SV119 @ SV274 @ SY2556 ) )
| ! [SY2557: mworld] :
( ~ ( mrel @ SV442 @ SY2557 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SY2557 ) ) )
= $true )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1305,plain,
! [SV38: mworld,SV120: $i,SV443: mworld,SV199: mworld] :
( ( ( ~ ( mrel @ SV199 @ SV443 )
| ( member @ ( sum_class @ SV120 ) @ universal_class @ SV443 ) )
= $true )
| ( ( mrel @ SV199 @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) )
= $true )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1306,plain,
! [SV38: mworld,SV120: $i,SV399: mworld,SV199: mworld] :
( ( ( ~ ( mrel @ SV199 @ SV399 ) )
= $true )
| ( ( member @ ( sum_class @ SV120 ) @ universal_class @ SV399 )
= $true )
| ( ( member @ SV120 @ universal_class @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) )
= $false )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1224]) ).
thf(1307,plain,
! [SV39: mworld,SV200: mworld,SV400: $i,SV275: $i,SV121: $i,SV444: mworld,SV339: mworld] :
( ( ( ~ ( mrel @ SV339 @ SV444 )
| ~ ~ ( ~ ! [SY2558: mworld] :
( ~ ( mrel @ SV444 @ SY2558 )
| ( qmltpeq @ SV121 @ SV275 @ SY2558 ) )
| ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
| ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1308,plain,
! [SV40: mworld,SV201: mworld,SV401: $i,SV276: $i,SV122: $i,SV445: mworld,SV340: mworld] :
( ( ( ~ ( mrel @ SV340 @ SV445 )
| ~ ! [SY2561: mworld] :
( ~ ( mrel @ SV445 @ SY2561 )
| ( qmltpeq @ SV122 @ SV276 @ SY2561 ) )
| ! [SY2562: mworld] :
( ~ ( mrel @ SV445 @ SY2562 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SY2562 ) ) )
= $true )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1309,plain,
! [SV41: mworld,SV202: mworld,SV402: $i,SV277: $i,SV123: $i,SV446: mworld,SV341: mworld] :
( ( ( ~ ( mrel @ SV341 @ SV446 )
| ~ ! [SY2563: mworld] :
( ~ ( mrel @ SV446 @ SY2563 )
| ( qmltpeq @ SV123 @ SV277 @ SY2563 ) )
| ! [SY2564: mworld] :
( ~ ( mrel @ SV446 @ SY2564 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SY2564 ) ) )
= $true )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1227]) ).
thf(1310,plain,
! [SV42: mworld,SV203: mworld,SV403: $i,SV278: $i,SV124: $i,SV447: mworld,SV342: mworld] :
( ( ( ~ ( mrel @ SV342 @ SV447 )
| ~ ~ ( ~ ! [SY2565: mworld] :
( ~ ( mrel @ SV447 @ SY2565 )
| ( qmltpeq @ SV124 @ SV278 @ SY2565 ) )
| ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
| ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1228]) ).
thf(1311,plain,
! [SV43: mworld,SV125: $i,SV448: mworld,SV204: mworld] :
( ( ( ~ ( mrel @ SV204 @ SV448 )
| ( member @ ( power_class @ SV125 ) @ universal_class @ SV448 ) )
= $true )
| ( ( mrel @ SV204 @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) )
= $true )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1229]) ).
thf(1312,plain,
! [SV43: mworld,SV125: $i,SV404: mworld,SV204: mworld] :
( ( ( ~ ( mrel @ SV204 @ SV404 ) )
= $true )
| ( ( member @ ( power_class @ SV125 ) @ universal_class @ SV404 )
= $true )
| ( ( member @ SV125 @ universal_class @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) )
= $false )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1313,plain,
! [SV44: mworld,SV205: mworld,SV405: $i,SV279: $i,SV126: $i,SV449: mworld,SV343: mworld] :
( ( ( ~ ( mrel @ SV343 @ SV449 )
| ~ ! [SY2568: mworld] :
( ~ ( mrel @ SV449 @ SY2568 )
| ( qmltpeq @ SV126 @ SV279 @ SY2568 ) )
| ! [SY2569: mworld] :
( ~ ( mrel @ SV449 @ SY2569 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SY2569 ) ) )
= $true )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1231]) ).
thf(1314,plain,
! [SV45: mworld,SV206: mworld,SV280: $i,SV127: $i,SV344: mworld] :
( ( ( ~ ( ~ ! [SY2155: mworld] :
( ~ ( mrel @ SV344 @ SY2155 )
| ( qmltpeq @ SV127 @ SV280 @ SY2155 ) )
| ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) ) )
= $false )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1315,plain,
! [SV46: mworld,SV207: mworld,SV406: $i,SV281: $i,SV128: $i,SV450: mworld,SV345: mworld] :
( ( ( ~ ( mrel @ SV345 @ SV450 )
| ~ ~ ( ~ ! [SY2570: mworld] :
( ~ ( mrel @ SV450 @ SY2570 )
| ( qmltpeq @ SV128 @ SV281 @ SY2570 ) )
| ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
| ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1233]) ).
thf(1316,plain,
! [SV370: $i,SV373: mworld,SV243: mworld] :
( ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( ~ ! [SY2286: mworld] :
( ~ ( mrel @ SV373 @ SY2286 )
| ( member @ SV370 @ universal_class @ SY2286 ) )
| ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) )
| ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1317,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV407: mworld,SV209: mworld] :
( ( ( ~ ( mrel @ SV209 @ SV407 ) )
= $true )
| ( ( ~ ! [SY2408: mworld] :
( ~ ( mrel @ SV407 @ SY2408 )
| ( qmltpeq @ SV130 @ SV282 @ SY2408 ) )
| ~ ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1235]) ).
thf(1318,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV408: mworld,SV209: mworld] :
( ( ( ~ ( mrel @ SV209 @ SV408 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2411: mworld] :
( ~ ( mrel @ SV408 @ SY2411 )
| ( subclass @ SV130 @ SV282 @ SY2411 ) )
| ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
| ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1236]) ).
thf(1319,plain,
! [SV50: mworld,SV211: mworld,SV283: $i,SV132: $i,SV346: mworld] :
( ( ( ! [SY2163: mworld] :
( ~ ( mrel @ SV346 @ SY2163 )
| ( qmltpeq @ SV132 @ SV283 @ SY2163 ) ) )
= $false )
| ( ( ! [SY2164: mworld] :
( ~ ( mrel @ SV346 @ SY2164 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SY2164 ) ) )
= $true )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1320,plain,
! [SV51: mworld,SV212: mworld,SV284: $i,SV133: $i,SV347: mworld] :
( ( ( ! [SY2165: mworld] :
( ~ ( mrel @ SV347 @ SY2165 )
| ( qmltpeq @ SV133 @ SV284 @ SY2165 ) ) )
= $false )
| ( ( ! [SY2166: mworld] :
( ~ ( mrel @ SV347 @ SY2166 )
| ( qmltpeq @ SV284 @ SV133 @ SY2166 ) ) )
= $true )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1321,plain,
! [SV451: $i,SV372: mworld] :
( ( ( ! [SY2573: mworld] :
( ~ ( mrel @ SV372 @ SY2573 )
| ~ ! [SY2574: mworld] :
( ~ ( mrel @ SY2573 @ SY2574 )
| ( inductive @ SV451 @ SY2574 ) )
| ! [SY2575: mworld] :
( ~ ( mrel @ SY2573 @ SY2575 )
| ( subclass @ sK3_SX0 @ SV451 @ SY2575 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1322,plain,
! [SV52: mworld,SV213: mworld,SV285: $i,SV134: $i,SV348: mworld] :
( ( ( ! [SY2167: mworld] :
( ~ ( mrel @ SV348 @ SY2167 )
| ( qmltpeq @ SV134 @ SV285 @ SY2167 ) ) )
= $false )
| ( ( ! [SY2168: mworld] :
( ~ ( mrel @ SV348 @ SY2168 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SY2168 ) ) )
= $true )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1323,plain,
! [SV54: mworld,SV215: mworld,SV409: $i,SV286: $i,SV136: $i,SV452: mworld,SV349: mworld] :
( ( ( ~ ( mrel @ SV349 @ SV452 )
| ~ ~ ( ~ ! [SY2576: mworld] :
( ~ ( mrel @ SV452 @ SY2576 )
| ( qmltpeq @ SV136 @ SV286 @ SY2576 ) )
| ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
| ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1324,plain,
! [SV137: $i,SV55: mworld,SV287: mworld] :
( ( ( ~ ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
| ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1243]) ).
thf(1325,plain,
! [SV55: mworld,SV137: $i,SV288: mworld] :
( ( ( ~ ! [SY1882: mworld] :
( ~ ( mrel @ SV288 @ SY1882 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1882 ) )
| ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1326,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV410: mworld,SV216: mworld] :
( ( ( ~ ( mrel @ SV216 @ SV410 ) )
= $true )
| ( ( ~ ! [SY2418: mworld] :
( ~ ( mrel @ SV410 @ SY2418 )
| ( disjoint @ SV138 @ SV289 @ SY2418 ) )
| ! [SY2419: mworld] :
( ~ ( mrel @ SV410 @ SY2419 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY2419 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1245]) ).
thf(1327,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV411: mworld,SV216: mworld] :
( ( ( ~ ( mrel @ SV216 @ SV411 ) )
= $true )
| ( ( ~ ! [SY2424: mworld] :
( ~ ( mrel @ SV411 @ SY2424 )
| ! [SY1894: $i,SY1895: mworld] :
( ~ ( mrel @ SY2424 @ SY1895 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY1895 @ SY990 )
| ( member @ SY1894 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY1895 @ SY1897 )
| ( member @ SY1894 @ SV289 @ SY1897 ) ) ) ) )
| ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1246]) ).
thf(1328,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV412: mworld,SV217: mworld] :
( ( ( ~ ( mrel @ SV217 @ SV412 ) )
= $true )
| ( ( ~ ! [SY2430: mworld] :
( ~ ( mrel @ SV412 @ SY2430 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2430 ) )
| ~ ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) ) )
= $true )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1247]) ).
thf(1329,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV413: mworld,SV217: mworld] :
( ( ( ~ ( mrel @ SV217 @ SV413 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2434: mworld] :
( ~ ( mrel @ SV413 @ SY2434 )
| ( member @ SV139 @ universal_class @ SY2434 ) )
| ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
| ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1248]) ).
thf(1330,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV350: mworld] :
( ( ( ~ ! [SY2438: mworld] :
( ~ ( mrel @ SV350 @ SY2438 )
| ~ ! [SY2439: mworld] :
( ~ ( mrel @ SY2438 @ SY2439 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2439 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY2438 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1914: mworld] :
( ~ ( mrel @ SY2438 @ SY1914 )
| ( qmltpeq @ SV140 @ SV291 @ SY1914 ) )
| ! [SY2442: mworld] :
( ~ ( mrel @ SY2438 @ SY2442 )
| ( qmltpeq @ SV140 @ SV414 @ SY2442 ) ) ) ) )
| ~ ! [SY2443: mworld] :
( ~ ( mrel @ SV350 @ SY2443 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY2443 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1918: mworld] :
( ~ ( mrel @ SY2443 @ SY1918 )
| ( qmltpeq @ SV140 @ SV291 @ SY1918 ) )
| ! [SY2446: mworld] :
( ~ ( mrel @ SY2443 @ SY2446 )
| ( qmltpeq @ SV140 @ SV414 @ SY2446 ) ) ) )
| ! [SY2447: mworld] :
( ~ ( mrel @ SY2443 @ SY2447 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2447 ) ) ) )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1331,plain,
! [SV60: mworld,SV219: mworld,SV292: $i,SV141: $i,SV415: $i,SV453: mworld,SV351: mworld] :
( ( ( ~ ( mrel @ SV351 @ SV453 )
| ~ ! [SY2579: mworld] :
( ~ ( mrel @ SV453 @ SY2579 )
| ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ SY2579 ) )
| ! [SY2580: mworld] :
( ~ ( mrel @ SV453 @ SY2580 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SY2580 ) ) )
= $true )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1332,plain,
! [SV142: $i,SV61: mworld,SV293: mworld] :
( ( ( ~ ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
| ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1251]) ).
thf(1333,plain,
! [SV61: mworld,SV142: $i,SV294: mworld] :
( ( ( ~ ! [SY1929: mworld] :
( ~ ( mrel @ SV294 @ SY1929 )
| ( member @ null_class @ SV142 @ SY1929 ) )
| ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1252]) ).
thf(1334,plain,
! [SV62: mworld,SV220: mworld,SV143: $i,SV416: $i,SV295: $i,SV454: mworld,SV352: mworld] :
( ( ( ~ ( mrel @ SV352 @ SV454 )
| ! [SY2581: $i] :
~ ( ~ ! [SY2582: mworld] :
( ~ ( mrel @ SV454 @ SY2582 )
| ~ ! [SY2454: mworld] :
( ~ ( mrel @ SY2582 @ SY2454 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( rotate @ SV143 ) @ SY2454 ) )
| ~ ( ~ ! [SY2455: mworld] :
( ~ ( mrel @ SY2582 @ SY2455 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2455 ) )
| ~ ! [SY2456: mworld] :
( ~ ( mrel @ SY2582 @ SY2456 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SY2581 ) @ SV295 ) @ SV143 @ SY2456 ) ) ) )
| ~ ! [SY2586: mworld] :
( ~ ( mrel @ SV454 @ SY2586 )
| ~ ~ ( ~ ! [SY2458: mworld] :
( ~ ( mrel @ SY2586 @ SY2458 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2458 ) )
| ~ ! [SY2459: mworld] :
( ~ ( mrel @ SY2586 @ SY2459 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SY2581 ) @ SV295 ) @ SV143 @ SY2459 ) ) )
| ! [SY2460: mworld] :
( ~ ( mrel @ SY2586 @ SY2460 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( rotate @ SV143 ) @ SY2460 ) ) ) ) )
= $true )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1335,plain,
! [SV63: mworld,SV221: mworld,SV296: $i,SV144: $i,SV353: mworld] :
( ( ( ! [SY2200: mworld] :
( ~ ( mrel @ SV353 @ SY2200 )
| ( qmltpeq @ SV144 @ SV296 @ SY2200 ) ) )
= $false )
| ( ( ! [SY2201: mworld] :
( ~ ( mrel @ SV353 @ SY2201 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SY2201 ) ) )
= $true )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1336,plain,
! [SV64: mworld,SV145: $i,SV222: mworld] :
( ( ( ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $false )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1337,plain,
! [SV455: mworld,SV222: mworld,SV145: $i,SV64: mworld] :
( ( ( ~ ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
| ( qmltpeq @ SV145 @ null_class @ SV455 ) )
= $true )
| ( ( ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1338,plain,
! [SV65: mworld,SV297: $i,SV146: $i,SV417: mworld,SV223: mworld] :
( ( ( ~ ( mrel @ SV223 @ SV417 ) )
= $true )
| ( ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SV417 @ SY2461 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2461 ) )
| ~ ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) ) )
= $true )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1257]) ).
thf(1339,plain,
! [SV65: mworld,SV146: $i,SV297: $i,SV418: mworld,SV223: mworld] :
( ( ( ~ ( mrel @ SV223 @ SV418 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2464: mworld] :
( ~ ( mrel @ SV418 @ SY2464 )
| ( member @ SV297 @ universal_class @ SY2464 ) )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
| ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1258]) ).
thf(1340,plain,
! [SV66: mworld,SV224: mworld,SV419: $i,SV298: $i,SV147: $i,SV456: mworld,SV354: mworld] :
( ( ( ~ ( mrel @ SV354 @ SV456 )
| ~ ! [SY2590: mworld] :
( ~ ( mrel @ SV456 @ SY2590 )
| ( qmltpeq @ SV147 @ SV298 @ SY2590 ) )
| ! [SY2591: mworld] :
( ~ ( mrel @ SV456 @ SY2591 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SY2591 ) ) )
= $true )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1341,plain,
! [SV68: mworld,SV226: mworld,SV420: $i,SV299: $i,SV149: $i,SV457: mworld,SV355: mworld] :
( ( ( ~ ( mrel @ SV355 @ SV457 )
| ~ ! [SY2592: mworld] :
( ~ ( mrel @ SV457 @ SY2592 )
| ( qmltpeq @ SV149 @ SV299 @ SY2592 ) )
| ! [SY2593: mworld] :
( ~ ( mrel @ SV457 @ SY2593 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SY2593 ) ) )
= $true )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1342,plain,
! [SV69: mworld,SV227: mworld,SV421: $i,SV300: $i,SV150: $i,SV458: mworld,SV356: mworld] :
( ( ( ~ ( mrel @ SV356 @ SV458 )
| ~ ! [SY2594: mworld] :
( ~ ( mrel @ SV458 @ SY2594 )
| ( qmltpeq @ SV150 @ SV300 @ SY2594 ) )
| ! [SY2595: mworld] :
( ~ ( mrel @ SV458 @ SY2595 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SY2595 ) ) )
= $true )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1343,plain,
! [SV70: mworld,SV228: mworld,SV422: $i,SV301: $i,SV151: $i,SV459: mworld,SV357: mworld] :
( ( ( ~ ( mrel @ SV357 @ SV459 )
| ~ ! [SY2596: mworld] :
( ~ ( mrel @ SV459 @ SY2596 )
| ( qmltpeq @ SV151 @ SV301 @ SY2596 ) )
| ! [SY2597: mworld] :
( ~ ( mrel @ SV459 @ SY2597 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SY2597 ) ) )
= $true )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1344,plain,
! [SV71: mworld,SV229: mworld,SV423: $i,SV302: $i,SV152: $i,SV460: mworld,SV358: mworld] :
( ( ( ~ ( mrel @ SV358 @ SV460 )
| ~ ~ ( ~ ! [SY2598: mworld] :
( ~ ( mrel @ SV460 @ SY2598 )
| ( qmltpeq @ SV152 @ SV302 @ SY2598 ) )
| ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
| ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1345,plain,
! [SV74: mworld,SV232: mworld,SV424: $i,SV304: $i,SV155: $i,SV461: mworld,SV360: mworld] :
( ( ( ~ ( mrel @ SV360 @ SV461 )
| ~ ! [SY2601: mworld] :
( ~ ( mrel @ SV461 @ SY2601 )
| ( qmltpeq @ SV155 @ SV304 @ SY2601 ) )
| ! [SY2602: mworld] :
( ~ ( mrel @ SV461 @ SY2602 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SY2602 ) ) )
= $true )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1264]) ).
thf(1346,plain,
! [SV76: mworld,SV234: mworld,SV425: $i,SV306: $i,SV157: $i,SV462: mworld,SV362: mworld] :
( ( ( ~ ( mrel @ SV362 @ SV462 )
| ! [SY2603: $i] :
~ ( ~ ! [SY2604: mworld] :
( ~ ( mrel @ SV462 @ SY2604 )
| ~ ! [SY2489: mworld] :
( ~ ( mrel @ SY2604 @ SY2489 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SY2603 ) @ SY2489 ) )
| ~ ( ~ ! [SY2490: mworld] :
( ~ ( mrel @ SY2604 @ SY2490 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2490 ) )
| ~ ! [SY2491: mworld] :
( ~ ( mrel @ SY2604 @ SY2491 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SY2603 @ SY2491 ) ) ) )
| ~ ! [SY2608: mworld] :
( ~ ( mrel @ SV462 @ SY2608 )
| ~ ~ ( ~ ! [SY2493: mworld] :
( ~ ( mrel @ SY2608 @ SY2493 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2493 ) )
| ~ ! [SY2494: mworld] :
( ~ ( mrel @ SY2608 @ SY2494 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SY2603 @ SY2494 ) ) )
| ! [SY2495: mworld] :
( ~ ( mrel @ SY2608 @ SY2495 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SY2603 ) @ SY2495 ) ) ) ) )
= $true )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1347,plain,
! [SV77: mworld,SV235: mworld,SV158: $i,SV307: $i,SV426: $i,SV463: mworld,SV363: mworld] :
( ( ( ~ ( mrel @ SV363 @ SV463 )
| ! [SY2612: $i] :
~ ( ~ ! [SY2613: mworld] :
( ~ ( mrel @ SV463 @ SY2613 )
| ~ ! [SY2499: mworld] :
( ~ ( mrel @ SY2613 @ SY2499 )
| ( member @ ( ordered_pair @ SV426 @ SY2612 ) @ ( compose @ SV307 @ SV158 ) @ SY2499 ) )
| ~ ( ~ ! [SY2500: mworld] :
( ~ ( mrel @ SY2613 @ SY2500 )
| ( member @ SV426 @ universal_class @ SY2500 ) )
| ~ ! [SY2501: mworld] :
( ~ ( mrel @ SY2613 @ SY2501 )
| ( member @ SY2612 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2501 ) ) ) )
| ~ ! [SY2617: mworld] :
( ~ ( mrel @ SV463 @ SY2617 )
| ~ ~ ( ~ ! [SY2503: mworld] :
( ~ ( mrel @ SY2617 @ SY2503 )
| ( member @ SV426 @ universal_class @ SY2503 ) )
| ~ ! [SY2504: mworld] :
( ~ ( mrel @ SY2617 @ SY2504 )
| ( member @ SY2612 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2504 ) ) )
| ! [SY2505: mworld] :
( ~ ( mrel @ SY2617 @ SY2505 )
| ( member @ ( ordered_pair @ SV426 @ SY2612 ) @ ( compose @ SV307 @ SV158 ) @ SY2505 ) ) ) ) )
= $true )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1348,plain,
! [SV78: mworld,SV236: mworld,SV427: $i,SV308: $i,SV159: $i,SV464: mworld,SV364: mworld] :
( ( ( ~ ( mrel @ SV364 @ SV464 )
| ! [SY2621: $i] :
~ ( ~ ! [SY2622: mworld] :
( ~ ( mrel @ SV464 @ SY2622 )
| ~ ! [SY2509: mworld] :
( ~ ( mrel @ SY2622 @ SY2509 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SY2621 ) @ SY2509 ) )
| ~ ( ~ ! [SY2510: mworld] :
( ~ ( mrel @ SY2622 @ SY2510 )
| ( member @ SV159 @ SV427 @ SY2510 ) )
| ~ ! [SY2019: mworld] :
( ~ ( mrel @ SY2622 @ SY2019 )
| ( member @ SV308 @ SY2621 @ SY2019 ) ) ) )
| ~ ! [SY2626: mworld] :
( ~ ( mrel @ SV464 @ SY2626 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2626 @ SY2513 )
| ( member @ SV159 @ SV427 @ SY2513 ) )
| ~ ! [SY2022: mworld] :
( ~ ( mrel @ SY2626 @ SY2022 )
| ( member @ SV308 @ SY2621 @ SY2022 ) ) )
| ! [SY2515: mworld] :
( ~ ( mrel @ SY2626 @ SY2515 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SY2621 ) @ SY2515 ) ) ) ) )
= $true )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1349,plain,
! [SV79: mworld,SV237: mworld,SV309: $i,SV160: $i,SV365: mworld] :
( ( ( ! [SY2260: mworld] :
( ~ ( mrel @ SV365 @ SY2260 )
| ( qmltpeq @ SV160 @ SV309 @ SY2260 ) ) )
= $false )
| ( ( ! [SY2261: mworld] :
( ~ ( mrel @ SV365 @ SY2261 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SY2261 ) ) )
= $true )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1350,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV366: mworld] :
( ( ( ~ ! [SY2516: mworld] :
( ~ ( mrel @ SV366 @ SY2516 )
| ~ ! [SY2517: mworld] :
( ~ ( mrel @ SY2516 @ SY2517 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2517 ) )
| ~ ( ~ ! [SY2518: mworld] :
( ~ ( mrel @ SY2516 @ SY2518 )
| ( member @ SV428 @ SV161 @ SY2518 ) )
| ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2516 @ SY2519 )
| ( member @ SV428 @ SV310 @ SY2519 ) ) ) )
| ~ ! [SY2520: mworld] :
( ~ ( mrel @ SV366 @ SY2520 )
| ~ ~ ( ~ ! [SY2521: mworld] :
( ~ ( mrel @ SY2520 @ SY2521 )
| ( member @ SV428 @ SV161 @ SY2521 ) )
| ~ ! [SY2522: mworld] :
( ~ ( mrel @ SY2520 @ SY2522 )
| ( member @ SV428 @ SV310 @ SY2522 ) ) )
| ! [SY2523: mworld] :
( ~ ( mrel @ SY2520 @ SY2523 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2523 ) ) ) )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1351,plain,
! [SV81: mworld,SV239: mworld,SV311: $i,SV162: $i,SV367: mworld] :
( ( ( ! [SY2271: mworld] :
( ~ ( mrel @ SV367 @ SY2271 )
| ( qmltpeq @ SV162 @ SV311 @ SY2271 ) ) )
= $false )
| ( ( ! [SY2272: mworld] :
( ~ ( mrel @ SV367 @ SY2272 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SY2272 ) ) )
= $true )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1352,plain,
! [SV82: mworld,SV240: mworld,SV312: $i,SV163: $i,SV368: mworld] :
( ( ( ! [SY2273: mworld] :
( ~ ( mrel @ SV368 @ SY2273 )
| ( qmltpeq @ SV163 @ SV312 @ SY2273 ) ) )
= $false )
| ( ( ! [SY2274: mworld] :
( ~ ( mrel @ SV368 @ SY2274 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SY2274 ) ) )
= $true )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1353,plain,
! [SV83: mworld,SV241: mworld,SV313: $i,SV164: $i,SV369: mworld] :
( ( ( ! [SY2275: mworld] :
( ~ ( mrel @ SV369 @ SY2275 )
| ( qmltpeq @ SV164 @ SV313 @ SY2275 ) ) )
= $false )
| ( ( ! [SY2276: mworld] :
( ~ ( mrel @ SV369 @ SY2276 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SY2276 ) ) )
= $true )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1354,plain,
! [SV3: mworld,SV165: mworld,SV374: $i,SV245: $i,SV86: $i,SV429: mworld,SV314: mworld] :
( ( ( ~ ( mrel @ SV314 @ SV429 ) )
= $true )
| ( ( ! [SY2524: $i,SY2525: mworld] :
( ~ ( mrel @ SV429 @ SY2525 )
| ~ ! [SY1660: mworld] :
( ~ ( mrel @ SY2525 @ SY1660 )
| ( qmltpeq @ SV86 @ SV245 @ SY1660 ) )
| ! [SY2293: mworld] :
( ~ ( mrel @ SY2525 @ SY2293 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SY2524 ) @ ( restrict @ SV374 @ SV245 @ SY2524 ) @ SY2293 ) ) ) )
= $true )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1273]) ).
thf(1355,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV375: mworld,SV166: mworld] :
( ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( ~ ! [SY2294: mworld] :
( ~ ( mrel @ SV375 @ SY2294 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2294 ) )
| ~ ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1356,plain,
! [SV4: mworld,SV87: $i,SV246: $i,SV376: mworld,SV166: mworld] :
( ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2298: mworld] :
( ~ ( mrel @ SV376 @ SY2298 )
| ( member @ SV246 @ universal_class @ SY2298 ) )
| ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
| ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1275]) ).
thf(1357,plain,
! [SV5: mworld,SV167: mworld,SV377: $i,SV247: $i,SV88: $i,SV430: mworld,SV315: mworld] :
( ( ( ~ ( mrel @ SV315 @ SV430 ) )
= $true )
| ( ( ~ ! [SY2528: mworld] :
( ~ ( mrel @ SV430 @ SY2528 )
| ( qmltpeq @ SV88 @ SV247 @ SY2528 ) )
| ! [SY2529: mworld] :
( ~ ( mrel @ SV430 @ SY2529 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SY2529 ) ) )
= $true )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1276]) ).
thf(1358,plain,
! [SV6: mworld,SV168: mworld,SV378: $i,SV248: $i,SV89: $i,SV431: mworld,SV316: mworld] :
( ( ( ~ ( mrel @ SV316 @ SV431 ) )
= $true )
| ( ( ! [SY2530: $i,SY2531: mworld] :
( ~ ( mrel @ SV431 @ SY2531 )
| ~ ! [SY1682: mworld] :
( ~ ( mrel @ SY2531 @ SY1682 )
| ( qmltpeq @ SV89 @ SV248 @ SY1682 ) )
| ! [SY2309: mworld] :
( ~ ( mrel @ SY2531 @ SY2309 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SY2530 ) @ ( restrict @ SV248 @ SV378 @ SY2530 ) @ SY2309 ) ) ) )
= $true )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1359,plain,
! [SV7: mworld,SV169: mworld,SV379: $i,SV249: $i,SV90: $i,SV432: mworld,SV317: mworld] :
( ( ( ~ ( mrel @ SV317 @ SV432 ) )
= $true )
| ( ( ~ ! [SY2534: mworld] :
( ~ ( mrel @ SV432 @ SY2534 )
| ( qmltpeq @ SV90 @ SV249 @ SY2534 ) )
| ! [SY2535: mworld] :
( ~ ( mrel @ SV432 @ SY2535 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SY2535 ) ) )
= $true )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1278]) ).
thf(1360,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV380: mworld,SV170: mworld] :
( ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( ~ ! [SY2313: mworld] :
( ~ ( mrel @ SV380 @ SY2313 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2313 ) )
| ~ ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1361,plain,
! [SV8: mworld,SV250: $i,SV91: $i,SV381: mworld,SV170: mworld] :
( ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( ~ ~ ! [SY2317: $i] :
~ ~ ( ~ ! [SY2318: mworld] :
( ~ ( mrel @ SV381 @ SY2318 )
| ( member @ SV91 @ SY2317 @ SY2318 ) )
| ~ ! [SY2319: mworld] :
( ~ ( mrel @ SV381 @ SY2319 )
| ( member @ SY2317 @ SV250 @ SY2319 ) ) )
| ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1362,plain,
! [SV92: $i,SV251: $i,SV171: mworld,SV9: mworld,SV318: mworld] :
( ( ( ~ ( mrel @ SV318 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) )
| ( qmltpeq @ SV92 @ SV251 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) ) )
= $false )
| ( ( ! [SY2067: mworld] :
( ~ ( mrel @ SV318 @ SY2067 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SY2067 ) ) )
= $true )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1281]) ).
thf(1363,plain,
! [SV11: mworld,SV173: mworld,SV382: $i,SV94: $i,SV253: $i,SV433: mworld,SV320: mworld] :
( ( ( ~ ( mrel @ SV320 @ SV433 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV253 @ SV94 @ SV382 ) @ ( intersection @ SV253 @ ( cross_product @ SV94 @ SV382 ) ) @ SV433 )
= $true )
| ( ( mrel @ SV173 @ SV320 )
= $false )
| ( ( mrel @ SV11 @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1282]) ).
thf(1364,plain,
! [SV13: mworld,SV175: mworld,SV383: $i,SV254: $i,SV96: $i,SV434: mworld,SV321: mworld] :
( ( ( ~ ( mrel @ SV321 @ SV434 ) )
= $true )
| ( ( ~ ! [SY2536: mworld] :
( ~ ( mrel @ SV434 @ SY2536 )
| ( qmltpeq @ SV96 @ SV254 @ SY2536 ) )
| ! [SY2537: mworld] :
( ~ ( mrel @ SV434 @ SY2537 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SY2537 ) ) )
= $true )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1283]) ).
thf(1365,plain,
! [SV97: $i,SV255: $i,SV176: mworld,SV14: mworld,SV322: mworld] :
( ( ( ~ ( mrel @ SV322 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) )
| ( qmltpeq @ SV97 @ SV255 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) ) )
= $false )
| ( ( ! [SY2075: mworld] :
( ~ ( mrel @ SV322 @ SY2075 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SY2075 ) ) )
= $true )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1284]) ).
thf(1366,plain,
! [SV15: mworld,SV177: mworld,SV256: $i,SV98: $i,SV323: mworld] :
( ( ( ~ ! [SY2076: mworld] :
( ~ ( mrel @ SV323 @ SY2076 )
| ( member @ SV98 @ universal_class @ SY2076 ) )
| ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1367,plain,
! [SV100: $i,SV258: $i,SV179: mworld,SV17: mworld,SV325: mworld] :
( ( ( ~ ( mrel @ SV325 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) )
| ( qmltpeq @ SV100 @ SV258 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) ) )
= $false )
| ( ( ! [SY2080: mworld] :
( ~ ( mrel @ SV325 @ SY2080 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SY2080 ) ) )
= $true )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1286]) ).
thf(1368,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV326: mworld] :
( ( ( ~ ! [SY2325: mworld] :
( ~ ( mrel @ SV326 @ SY2325 )
| ~ ! [SY2326: mworld] :
( ~ ( mrel @ SY2325 @ SY2326 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2326 ) )
| ! [SY2327: mworld] :
( ~ ( mrel @ SY2325 @ SY2327 )
| ( member @ SV384 @ SV103 @ SY2327 ) )
| ! [SY2328: mworld] :
( ~ ( mrel @ SY2325 @ SY2328 )
| ( member @ SV384 @ SV259 @ SY2328 ) ) ) )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1369,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV326: mworld] :
( ( ( ~ ! [SY2329: mworld] :
( ~ ( mrel @ SV326 @ SY2329 )
| ~ ( ! [SY2330: mworld] :
( ~ ( mrel @ SY2329 @ SY2330 )
| ( member @ SV384 @ SV103 @ SY2330 ) )
| ! [SY2331: mworld] :
( ~ ( mrel @ SY2329 @ SY2331 )
| ( member @ SV384 @ SV259 @ SY2331 ) ) )
| ! [SY2332: mworld] :
( ~ ( mrel @ SY2329 @ SY2332 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2332 ) ) ) )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1370,plain,
! [SV21: mworld,SV183: mworld,SV385: $i,SV260: $i,SV104: $i,SV435: mworld,SV327: mworld] :
( ( ( ~ ( mrel @ SV327 @ SV435 ) )
= $true )
| ( ( ! [SY2538: $i,SY2539: mworld] :
( ~ ( mrel @ SV435 @ SY2539 )
| ~ ! [SY1737: mworld] :
( ~ ( mrel @ SY2539 @ SY1737 )
| ( qmltpeq @ SV104 @ SV260 @ SY1737 ) )
| ! [SY2337: mworld] :
( ~ ( mrel @ SY2539 @ SY2337 )
| ( qmltpeq @ ( restrict @ SV385 @ SY2538 @ SV104 ) @ ( restrict @ SV385 @ SY2538 @ SV260 ) @ SY2337 ) ) ) )
= $true )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1288]) ).
thf(1371,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV386: mworld,SV185: mworld] :
( ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( ~ ! [SY2338: mworld] :
( ~ ( mrel @ SV386 @ SY2338 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2338 ) )
| ~ ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) ) )
= $true )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1372,plain,
! [SV23: mworld,SV261: $i,SV106: $i,SV387: mworld,SV185: mworld] :
( ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2341: mworld] :
( ~ ( mrel @ SV387 @ SY2341 )
| ( member @ SV106 @ universal_class @ SY2341 ) )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
| ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1290]) ).
thf(1373,plain,
! [SV24: mworld,SV186: mworld,SV388: $i,SV262: $i,SV107: $i,SV436: mworld,SV328: mworld] :
( ( ( ~ ( mrel @ SV328 @ SV436 ) )
= $true )
| ( ( ~ ! [SY2542: mworld] :
( ~ ( mrel @ SV436 @ SY2542 )
| ( qmltpeq @ SV107 @ SV262 @ SY2542 ) )
| ! [SY2543: mworld] :
( ~ ( mrel @ SV436 @ SY2543 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SY2543 ) ) )
= $true )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1374,plain,
! [SV25: mworld,SV187: mworld,SV389: $i,SV263: $i,SV108: $i,SV437: mworld,SV329: mworld] :
( ( ( ~ ( mrel @ SV329 @ SV437 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2544: mworld] :
( ~ ( mrel @ SV437 @ SY2544 )
| ( qmltpeq @ SV108 @ SV263 @ SY2544 ) )
| ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1292]) ).
thf(1375,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV390: mworld,SV188: mworld] :
( ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( ~ ! [SY2351: mworld] :
( ~ ( mrel @ SV390 @ SY2351 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2351 ) )
| ~ ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
= $true )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1376,plain,
! [SV26: mworld,SV109: $i,SV264: $i,SV391: mworld,SV188: mworld] :
( ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2355: mworld] :
( ~ ( mrel @ SV391 @ SY2355 )
| ( member @ SV264 @ universal_class @ SY2355 ) )
| ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
| ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1377,plain,
! [SV27: mworld,SV189: mworld,SV392: $i,SV265: $i,SV110: $i,SV438: mworld,SV330: mworld] :
( ( ( ~ ( mrel @ SV330 @ SV438 ) )
= $true )
| ( ( ~ ! [SY2547: mworld] :
( ~ ( mrel @ SV438 @ SY2547 )
| ( qmltpeq @ SV110 @ SV265 @ SY2547 ) )
| ! [SY2548: mworld] :
( ~ ( mrel @ SV438 @ SY2548 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SY2548 ) ) )
= $true )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1295]) ).
thf(1378,plain,
! [SV28: mworld,SV190: mworld,SV393: $i,SV266: $i,SV111: $i,SV439: mworld,SV331: mworld] :
( ( ( ~ ( mrel @ SV331 @ SV439 ) )
= $true )
| ( ( ~ ! [SY2549: mworld] :
( ~ ( mrel @ SV439 @ SY2549 )
| ( qmltpeq @ SV111 @ SV266 @ SY2549 ) )
| ! [SY2550: mworld] :
( ~ ( mrel @ SV439 @ SY2550 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SY2550 ) ) )
= $true )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1296]) ).
thf(1379,plain,
! [SV113: $i,SV268: $i,SV192: mworld,SV31: mworld,SV333: mworld] :
( ( ( ~ ( mrel @ SV333 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) )
| ( qmltpeq @ SV113 @ SV268 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) ) )
= $false )
| ( ( ! [SY2114: mworld] :
( ~ ( mrel @ SV333 @ SY2114 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SY2114 ) ) )
= $true )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1297]) ).
thf(1380,plain,
! [SV32: mworld,SV193: mworld,SV394: $i,SV269: $i,SV114: $i,SV440: mworld,SV334: mworld] :
( ( ( ~ ( mrel @ SV334 @ SV440 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2551: mworld] :
( ~ ( mrel @ SV440 @ SY2551 )
| ( qmltpeq @ SV114 @ SV269 @ SY2551 ) )
| ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
| ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1298]) ).
thf(1381,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV395: mworld,SV194: mworld] :
( ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( ~ ! [SY2369: mworld] :
( ~ ( mrel @ SV395 @ SY2369 )
| ( subclass @ SV115 @ SV270 @ SY2369 ) )
| ! [SY2370: mworld] :
( ~ ( mrel @ SV395 @ SY2370 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY2370 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
= $true )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1382,plain,
! [SV33: mworld,SV270: $i,SV115: $i,SV396: mworld,SV194: mworld] :
( ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( ~ ! [SY2375: mworld] :
( ~ ( mrel @ SV396 @ SY2375 )
| ! [SY1797: $i,SY1798: mworld] :
( ~ ( mrel @ SY2375 @ SY1798 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY1798 @ SY846 )
| ( member @ SY1797 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY1798 @ SY1800 )
| ( member @ SY1797 @ SV270 @ SY1800 ) ) ) )
| ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1300]) ).
thf(1383,plain,
! [SV34: mworld,SV195: mworld,SV271: $i,SV116: $i,SV335: mworld] :
( ( ( ~ ! [SY2120: mworld] :
( ~ ( mrel @ SV335 @ SY2120 )
| ( qmltpeq @ SV116 @ SV271 @ SY2120 ) )
| ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1301]) ).
thf(1384,plain,
! [SV117: $i,SV272: $i,SV196: mworld,SV35: mworld,SV336: mworld] :
( ( ( ~ ( mrel @ SV336 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) )
| ( qmltpeq @ SV117 @ SV272 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) ) )
= $false )
| ( ( ! [SY2124: mworld] :
( ~ ( mrel @ SV336 @ SY2124 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SY2124 ) ) )
= $true )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1302]) ).
thf(1385,plain,
! [SV36: mworld,SV197: mworld,SV397: $i,SV273: $i,SV118: $i,SV441: mworld,SV337: mworld] :
( ( ( ~ ( mrel @ SV337 @ SV441 ) )
= $true )
| ( ( ~ ! [SY2554: mworld] :
( ~ ( mrel @ SV441 @ SY2554 )
| ( qmltpeq @ SV118 @ SV273 @ SY2554 ) )
| ! [SY2555: mworld] :
( ~ ( mrel @ SV441 @ SY2555 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SY2555 ) ) )
= $true )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1303]) ).
thf(1386,plain,
! [SV37: mworld,SV198: mworld,SV398: $i,SV274: $i,SV119: $i,SV442: mworld,SV338: mworld] :
( ( ( ~ ( mrel @ SV338 @ SV442 ) )
= $true )
| ( ( ~ ! [SY2556: mworld] :
( ~ ( mrel @ SV442 @ SY2556 )
| ( qmltpeq @ SV119 @ SV274 @ SY2556 ) )
| ! [SY2557: mworld] :
( ~ ( mrel @ SV442 @ SY2557 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SY2557 ) ) )
= $true )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1304]) ).
thf(1387,plain,
! [SV38: mworld,SV120: $i,SV443: mworld,SV199: mworld] :
( ( ( ~ ( mrel @ SV199 @ SV443 ) )
= $true )
| ( ( member @ ( sum_class @ SV120 ) @ universal_class @ SV443 )
= $true )
| ( ( mrel @ SV199 @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) )
= $true )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1305]) ).
thf(1388,plain,
! [SV38: mworld,SV120: $i,SV399: mworld,SV199: mworld] :
( ( ( mrel @ SV199 @ SV399 )
= $false )
| ( ( member @ ( sum_class @ SV120 ) @ universal_class @ SV399 )
= $true )
| ( ( member @ SV120 @ universal_class @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) )
= $false )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1306]) ).
thf(1389,plain,
! [SV39: mworld,SV200: mworld,SV400: $i,SV275: $i,SV121: $i,SV444: mworld,SV339: mworld] :
( ( ( ~ ( mrel @ SV339 @ SV444 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2558: mworld] :
( ~ ( mrel @ SV444 @ SY2558 )
| ( qmltpeq @ SV121 @ SV275 @ SY2558 ) )
| ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
| ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1307]) ).
thf(1390,plain,
! [SV40: mworld,SV201: mworld,SV401: $i,SV276: $i,SV122: $i,SV445: mworld,SV340: mworld] :
( ( ( ~ ( mrel @ SV340 @ SV445 ) )
= $true )
| ( ( ~ ! [SY2561: mworld] :
( ~ ( mrel @ SV445 @ SY2561 )
| ( qmltpeq @ SV122 @ SV276 @ SY2561 ) )
| ! [SY2562: mworld] :
( ~ ( mrel @ SV445 @ SY2562 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SY2562 ) ) )
= $true )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1308]) ).
thf(1391,plain,
! [SV41: mworld,SV202: mworld,SV402: $i,SV277: $i,SV123: $i,SV446: mworld,SV341: mworld] :
( ( ( ~ ( mrel @ SV341 @ SV446 ) )
= $true )
| ( ( ~ ! [SY2563: mworld] :
( ~ ( mrel @ SV446 @ SY2563 )
| ( qmltpeq @ SV123 @ SV277 @ SY2563 ) )
| ! [SY2564: mworld] :
( ~ ( mrel @ SV446 @ SY2564 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SY2564 ) ) )
= $true )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1309]) ).
thf(1392,plain,
! [SV42: mworld,SV203: mworld,SV403: $i,SV278: $i,SV124: $i,SV447: mworld,SV342: mworld] :
( ( ( ~ ( mrel @ SV342 @ SV447 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2565: mworld] :
( ~ ( mrel @ SV447 @ SY2565 )
| ( qmltpeq @ SV124 @ SV278 @ SY2565 ) )
| ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
| ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1310]) ).
thf(1393,plain,
! [SV43: mworld,SV125: $i,SV448: mworld,SV204: mworld] :
( ( ( ~ ( mrel @ SV204 @ SV448 ) )
= $true )
| ( ( member @ ( power_class @ SV125 ) @ universal_class @ SV448 )
= $true )
| ( ( mrel @ SV204 @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) )
= $true )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1311]) ).
thf(1394,plain,
! [SV43: mworld,SV125: $i,SV404: mworld,SV204: mworld] :
( ( ( mrel @ SV204 @ SV404 )
= $false )
| ( ( member @ ( power_class @ SV125 ) @ universal_class @ SV404 )
= $true )
| ( ( member @ SV125 @ universal_class @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) )
= $false )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1395,plain,
! [SV44: mworld,SV205: mworld,SV405: $i,SV279: $i,SV126: $i,SV449: mworld,SV343: mworld] :
( ( ( ~ ( mrel @ SV343 @ SV449 ) )
= $true )
| ( ( ~ ! [SY2568: mworld] :
( ~ ( mrel @ SV449 @ SY2568 )
| ( qmltpeq @ SV126 @ SV279 @ SY2568 ) )
| ! [SY2569: mworld] :
( ~ ( mrel @ SV449 @ SY2569 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SY2569 ) ) )
= $true )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1313]) ).
thf(1396,plain,
! [SV45: mworld,SV206: mworld,SV280: $i,SV127: $i,SV344: mworld] :
( ( ( ~ ! [SY2155: mworld] :
( ~ ( mrel @ SV344 @ SY2155 )
| ( qmltpeq @ SV127 @ SV280 @ SY2155 ) )
| ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1314]) ).
thf(1397,plain,
! [SV46: mworld,SV207: mworld,SV406: $i,SV281: $i,SV128: $i,SV450: mworld,SV345: mworld] :
( ( ( ~ ( mrel @ SV345 @ SV450 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2570: mworld] :
( ~ ( mrel @ SV450 @ SY2570 )
| ( qmltpeq @ SV128 @ SV281 @ SY2570 ) )
| ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
| ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1315]) ).
thf(1398,plain,
! [SV243: mworld,SV370: $i,SV373: mworld] :
( ( ( ~ ! [SY2286: mworld] :
( ~ ( mrel @ SV373 @ SY2286 )
| ( member @ SV370 @ universal_class @ SY2286 ) ) )
= $true )
| ( ( ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) )
| ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1316]) ).
thf(1399,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV407: mworld,SV209: mworld] :
( ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( ~ ! [SY2408: mworld] :
( ~ ( mrel @ SV407 @ SY2408 )
| ( qmltpeq @ SV130 @ SV282 @ SY2408 ) )
| ~ ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1400,plain,
! [SV48: mworld,SV282: $i,SV130: $i,SV408: mworld,SV209: mworld] :
( ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2411: mworld] :
( ~ ( mrel @ SV408 @ SY2411 )
| ( subclass @ SV130 @ SV282 @ SY2411 ) )
| ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
| ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1318]) ).
thf(1401,plain,
! [SV132: $i,SV283: $i,SV211: mworld,SV50: mworld,SV346: mworld] :
( ( ( ~ ( mrel @ SV346 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) )
| ( qmltpeq @ SV132 @ SV283 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) ) )
= $false )
| ( ( ! [SY2164: mworld] :
( ~ ( mrel @ SV346 @ SY2164 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SY2164 ) ) )
= $true )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1319]) ).
thf(1402,plain,
! [SV133: $i,SV284: $i,SV212: mworld,SV51: mworld,SV347: mworld] :
( ( ( ~ ( mrel @ SV347 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) )
| ( qmltpeq @ SV133 @ SV284 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) ) )
= $false )
| ( ( ! [SY2166: mworld] :
( ~ ( mrel @ SV347 @ SY2166 )
| ( qmltpeq @ SV284 @ SV133 @ SY2166 ) ) )
= $true )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1320]) ).
thf(1403,plain,
! [SV451: $i,SV465: mworld,SV372: mworld] :
( ( ( ~ ( mrel @ SV372 @ SV465 )
| ~ ! [SY2630: mworld] :
( ~ ( mrel @ SV465 @ SY2630 )
| ( inductive @ SV451 @ SY2630 ) )
| ! [SY2631: mworld] :
( ~ ( mrel @ SV465 @ SY2631 )
| ( subclass @ sK3_SX0 @ SV451 @ SY2631 ) ) )
= $true )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1404,plain,
! [SV134: $i,SV285: $i,SV213: mworld,SV52: mworld,SV348: mworld] :
( ( ( ~ ( mrel @ SV348 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) )
| ( qmltpeq @ SV134 @ SV285 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) ) )
= $false )
| ( ( ! [SY2168: mworld] :
( ~ ( mrel @ SV348 @ SY2168 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SY2168 ) ) )
= $true )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1322]) ).
thf(1405,plain,
! [SV54: mworld,SV215: mworld,SV409: $i,SV286: $i,SV136: $i,SV452: mworld,SV349: mworld] :
( ( ( ~ ( mrel @ SV349 @ SV452 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2576: mworld] :
( ~ ( mrel @ SV452 @ SY2576 )
| ( qmltpeq @ SV136 @ SV286 @ SY2576 ) )
| ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
| ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1323]) ).
thf(1406,plain,
! [SV137: $i,SV55: mworld,SV287: mworld] :
( ( ( ~ ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1407,plain,
! [SV287: mworld,SV55: mworld,SV137: $i] :
( ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( ~ ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1408,plain,
! [SV55: mworld,SV137: $i,SV288: mworld] :
( ( ( ~ ! [SY1882: mworld] :
( ~ ( mrel @ SV288 @ SY1882 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1882 ) ) )
= $true )
| ( ( ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1325]) ).
thf(1409,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV410: mworld,SV216: mworld] :
( ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( ~ ! [SY2418: mworld] :
( ~ ( mrel @ SV410 @ SY2418 )
| ( disjoint @ SV138 @ SV289 @ SY2418 ) )
| ! [SY2419: mworld] :
( ~ ( mrel @ SV410 @ SY2419 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY2419 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1410,plain,
! [SV56: mworld,SV289: $i,SV138: $i,SV411: mworld,SV216: mworld] :
( ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( ~ ! [SY2424: mworld] :
( ~ ( mrel @ SV411 @ SY2424 )
| ! [SY1894: $i,SY1895: mworld] :
( ~ ( mrel @ SY2424 @ SY1895 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY1895 @ SY990 )
| ( member @ SY1894 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY1895 @ SY1897 )
| ( member @ SY1894 @ SV289 @ SY1897 ) ) ) ) )
| ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1411,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV412: mworld,SV217: mworld] :
( ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( ~ ! [SY2430: mworld] :
( ~ ( mrel @ SV412 @ SY2430 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2430 ) )
| ~ ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) ) )
= $true )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1412,plain,
! [SV57: mworld,SV290: $i,SV139: $i,SV413: mworld,SV217: mworld] :
( ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2434: mworld] :
( ~ ( mrel @ SV413 @ SY2434 )
| ( member @ SV139 @ universal_class @ SY2434 ) )
| ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
| ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1413,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV350: mworld] :
( ( ( ~ ! [SY2438: mworld] :
( ~ ( mrel @ SV350 @ SY2438 )
| ~ ! [SY2439: mworld] :
( ~ ( mrel @ SY2438 @ SY2439 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2439 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY2438 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1914: mworld] :
( ~ ( mrel @ SY2438 @ SY1914 )
| ( qmltpeq @ SV140 @ SV291 @ SY1914 ) )
| ! [SY2442: mworld] :
( ~ ( mrel @ SY2438 @ SY2442 )
| ( qmltpeq @ SV140 @ SV414 @ SY2442 ) ) ) ) ) )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1414,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV350: mworld] :
( ( ( ~ ! [SY2443: mworld] :
( ~ ( mrel @ SV350 @ SY2443 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY2443 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1918: mworld] :
( ~ ( mrel @ SY2443 @ SY1918 )
| ( qmltpeq @ SV140 @ SV291 @ SY1918 ) )
| ! [SY2446: mworld] :
( ~ ( mrel @ SY2443 @ SY2446 )
| ( qmltpeq @ SV140 @ SV414 @ SY2446 ) ) ) )
| ! [SY2447: mworld] :
( ~ ( mrel @ SY2443 @ SY2447 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2447 ) ) ) )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1415,plain,
! [SV60: mworld,SV219: mworld,SV292: $i,SV141: $i,SV415: $i,SV453: mworld,SV351: mworld] :
( ( ( ~ ( mrel @ SV351 @ SV453 ) )
= $true )
| ( ( ~ ! [SY2579: mworld] :
( ~ ( mrel @ SV453 @ SY2579 )
| ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ SY2579 ) )
| ! [SY2580: mworld] :
( ~ ( mrel @ SV453 @ SY2580 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SY2580 ) ) )
= $true )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1331]) ).
thf(1416,plain,
! [SV142: $i,SV61: mworld,SV293: mworld] :
( ( ( ~ ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1332]) ).
thf(1417,plain,
! [SV293: mworld,SV61: mworld,SV142: $i] :
( ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( ~ ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1332]) ).
thf(1418,plain,
! [SV61: mworld,SV142: $i,SV294: mworld] :
( ( ( ~ ! [SY1929: mworld] :
( ~ ( mrel @ SV294 @ SY1929 )
| ( member @ null_class @ SV142 @ SY1929 ) ) )
= $true )
| ( ( ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1333]) ).
thf(1419,plain,
! [SV62: mworld,SV220: mworld,SV143: $i,SV416: $i,SV295: $i,SV454: mworld,SV352: mworld] :
( ( ( ~ ( mrel @ SV352 @ SV454 ) )
= $true )
| ( ( ! [SY2581: $i] :
~ ( ~ ! [SY2582: mworld] :
( ~ ( mrel @ SV454 @ SY2582 )
| ~ ! [SY2454: mworld] :
( ~ ( mrel @ SY2582 @ SY2454 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( rotate @ SV143 ) @ SY2454 ) )
| ~ ( ~ ! [SY2455: mworld] :
( ~ ( mrel @ SY2582 @ SY2455 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2455 ) )
| ~ ! [SY2456: mworld] :
( ~ ( mrel @ SY2582 @ SY2456 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SY2581 ) @ SV295 ) @ SV143 @ SY2456 ) ) ) )
| ~ ! [SY2586: mworld] :
( ~ ( mrel @ SV454 @ SY2586 )
| ~ ~ ( ~ ! [SY2458: mworld] :
( ~ ( mrel @ SY2586 @ SY2458 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2458 ) )
| ~ ! [SY2459: mworld] :
( ~ ( mrel @ SY2586 @ SY2459 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SY2581 ) @ SV295 ) @ SV143 @ SY2459 ) ) )
| ! [SY2460: mworld] :
( ~ ( mrel @ SY2586 @ SY2460 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( rotate @ SV143 ) @ SY2460 ) ) ) ) )
= $true )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1334]) ).
thf(1420,plain,
! [SV144: $i,SV296: $i,SV221: mworld,SV63: mworld,SV353: mworld] :
( ( ( ~ ( mrel @ SV353 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) )
| ( qmltpeq @ SV144 @ SV296 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) ) )
= $false )
| ( ( ! [SY2201: mworld] :
( ~ ( mrel @ SV353 @ SY2201 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SY2201 ) ) )
= $true )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1335]) ).
thf(1421,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV222 @ SY2632 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ universal_class @ SY2632 ) )
| ~ ~ ( ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV222 @ SY2633 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2633 ) )
| ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV222 @ SY2634 )
| ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2634 ) ) ) ) )
= $false )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1336]) ).
thf(1422,plain,
! [SV455: mworld,SV222: mworld,SV145: $i,SV64: mworld] :
( ( ( ~ ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 ) )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1337]) ).
thf(1423,plain,
! [SV65: mworld,SV297: $i,SV146: $i,SV417: mworld,SV223: mworld] :
( ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SV417 @ SY2461 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2461 ) )
| ~ ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) ) )
= $true )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1424,plain,
! [SV65: mworld,SV146: $i,SV297: $i,SV418: mworld,SV223: mworld] :
( ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2464: mworld] :
( ~ ( mrel @ SV418 @ SY2464 )
| ( member @ SV297 @ universal_class @ SY2464 ) )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
| ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1425,plain,
! [SV66: mworld,SV224: mworld,SV419: $i,SV298: $i,SV147: $i,SV456: mworld,SV354: mworld] :
( ( ( ~ ( mrel @ SV354 @ SV456 ) )
= $true )
| ( ( ~ ! [SY2590: mworld] :
( ~ ( mrel @ SV456 @ SY2590 )
| ( qmltpeq @ SV147 @ SV298 @ SY2590 ) )
| ! [SY2591: mworld] :
( ~ ( mrel @ SV456 @ SY2591 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SY2591 ) ) )
= $true )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1426,plain,
! [SV68: mworld,SV226: mworld,SV420: $i,SV299: $i,SV149: $i,SV457: mworld,SV355: mworld] :
( ( ( ~ ( mrel @ SV355 @ SV457 ) )
= $true )
| ( ( ~ ! [SY2592: mworld] :
( ~ ( mrel @ SV457 @ SY2592 )
| ( qmltpeq @ SV149 @ SV299 @ SY2592 ) )
| ! [SY2593: mworld] :
( ~ ( mrel @ SV457 @ SY2593 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SY2593 ) ) )
= $true )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1341]) ).
thf(1427,plain,
! [SV69: mworld,SV227: mworld,SV421: $i,SV300: $i,SV150: $i,SV458: mworld,SV356: mworld] :
( ( ( ~ ( mrel @ SV356 @ SV458 ) )
= $true )
| ( ( ~ ! [SY2594: mworld] :
( ~ ( mrel @ SV458 @ SY2594 )
| ( qmltpeq @ SV150 @ SV300 @ SY2594 ) )
| ! [SY2595: mworld] :
( ~ ( mrel @ SV458 @ SY2595 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SY2595 ) ) )
= $true )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1428,plain,
! [SV70: mworld,SV228: mworld,SV422: $i,SV301: $i,SV151: $i,SV459: mworld,SV357: mworld] :
( ( ( ~ ( mrel @ SV357 @ SV459 ) )
= $true )
| ( ( ~ ! [SY2596: mworld] :
( ~ ( mrel @ SV459 @ SY2596 )
| ( qmltpeq @ SV151 @ SV301 @ SY2596 ) )
| ! [SY2597: mworld] :
( ~ ( mrel @ SV459 @ SY2597 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SY2597 ) ) )
= $true )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1343]) ).
thf(1429,plain,
! [SV71: mworld,SV229: mworld,SV423: $i,SV302: $i,SV152: $i,SV460: mworld,SV358: mworld] :
( ( ( ~ ( mrel @ SV358 @ SV460 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2598: mworld] :
( ~ ( mrel @ SV460 @ SY2598 )
| ( qmltpeq @ SV152 @ SV302 @ SY2598 ) )
| ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
| ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1344]) ).
thf(1430,plain,
! [SV74: mworld,SV232: mworld,SV424: $i,SV304: $i,SV155: $i,SV461: mworld,SV360: mworld] :
( ( ( ~ ( mrel @ SV360 @ SV461 ) )
= $true )
| ( ( ~ ! [SY2601: mworld] :
( ~ ( mrel @ SV461 @ SY2601 )
| ( qmltpeq @ SV155 @ SV304 @ SY2601 ) )
| ! [SY2602: mworld] :
( ~ ( mrel @ SV461 @ SY2602 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SY2602 ) ) )
= $true )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1345]) ).
thf(1431,plain,
! [SV76: mworld,SV234: mworld,SV425: $i,SV306: $i,SV157: $i,SV462: mworld,SV362: mworld] :
( ( ( ~ ( mrel @ SV362 @ SV462 ) )
= $true )
| ( ( ! [SY2603: $i] :
~ ( ~ ! [SY2604: mworld] :
( ~ ( mrel @ SV462 @ SY2604 )
| ~ ! [SY2489: mworld] :
( ~ ( mrel @ SY2604 @ SY2489 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SY2603 ) @ SY2489 ) )
| ~ ( ~ ! [SY2490: mworld] :
( ~ ( mrel @ SY2604 @ SY2490 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2490 ) )
| ~ ! [SY2491: mworld] :
( ~ ( mrel @ SY2604 @ SY2491 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SY2603 @ SY2491 ) ) ) )
| ~ ! [SY2608: mworld] :
( ~ ( mrel @ SV462 @ SY2608 )
| ~ ~ ( ~ ! [SY2493: mworld] :
( ~ ( mrel @ SY2608 @ SY2493 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2493 ) )
| ~ ! [SY2494: mworld] :
( ~ ( mrel @ SY2608 @ SY2494 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SY2603 @ SY2494 ) ) )
| ! [SY2495: mworld] :
( ~ ( mrel @ SY2608 @ SY2495 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SY2603 ) @ SY2495 ) ) ) ) )
= $true )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1346]) ).
thf(1432,plain,
! [SV77: mworld,SV235: mworld,SV158: $i,SV307: $i,SV426: $i,SV463: mworld,SV363: mworld] :
( ( ( ~ ( mrel @ SV363 @ SV463 ) )
= $true )
| ( ( ! [SY2612: $i] :
~ ( ~ ! [SY2613: mworld] :
( ~ ( mrel @ SV463 @ SY2613 )
| ~ ! [SY2499: mworld] :
( ~ ( mrel @ SY2613 @ SY2499 )
| ( member @ ( ordered_pair @ SV426 @ SY2612 ) @ ( compose @ SV307 @ SV158 ) @ SY2499 ) )
| ~ ( ~ ! [SY2500: mworld] :
( ~ ( mrel @ SY2613 @ SY2500 )
| ( member @ SV426 @ universal_class @ SY2500 ) )
| ~ ! [SY2501: mworld] :
( ~ ( mrel @ SY2613 @ SY2501 )
| ( member @ SY2612 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2501 ) ) ) )
| ~ ! [SY2617: mworld] :
( ~ ( mrel @ SV463 @ SY2617 )
| ~ ~ ( ~ ! [SY2503: mworld] :
( ~ ( mrel @ SY2617 @ SY2503 )
| ( member @ SV426 @ universal_class @ SY2503 ) )
| ~ ! [SY2504: mworld] :
( ~ ( mrel @ SY2617 @ SY2504 )
| ( member @ SY2612 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2504 ) ) )
| ! [SY2505: mworld] :
( ~ ( mrel @ SY2617 @ SY2505 )
| ( member @ ( ordered_pair @ SV426 @ SY2612 ) @ ( compose @ SV307 @ SV158 ) @ SY2505 ) ) ) ) )
= $true )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1347]) ).
thf(1433,plain,
! [SV78: mworld,SV236: mworld,SV427: $i,SV308: $i,SV159: $i,SV464: mworld,SV364: mworld] :
( ( ( ~ ( mrel @ SV364 @ SV464 ) )
= $true )
| ( ( ! [SY2621: $i] :
~ ( ~ ! [SY2622: mworld] :
( ~ ( mrel @ SV464 @ SY2622 )
| ~ ! [SY2509: mworld] :
( ~ ( mrel @ SY2622 @ SY2509 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SY2621 ) @ SY2509 ) )
| ~ ( ~ ! [SY2510: mworld] :
( ~ ( mrel @ SY2622 @ SY2510 )
| ( member @ SV159 @ SV427 @ SY2510 ) )
| ~ ! [SY2019: mworld] :
( ~ ( mrel @ SY2622 @ SY2019 )
| ( member @ SV308 @ SY2621 @ SY2019 ) ) ) )
| ~ ! [SY2626: mworld] :
( ~ ( mrel @ SV464 @ SY2626 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2626 @ SY2513 )
| ( member @ SV159 @ SV427 @ SY2513 ) )
| ~ ! [SY2022: mworld] :
( ~ ( mrel @ SY2626 @ SY2022 )
| ( member @ SV308 @ SY2621 @ SY2022 ) ) )
| ! [SY2515: mworld] :
( ~ ( mrel @ SY2626 @ SY2515 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SY2621 ) @ SY2515 ) ) ) ) )
= $true )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1348]) ).
thf(1434,plain,
! [SV160: $i,SV309: $i,SV237: mworld,SV79: mworld,SV365: mworld] :
( ( ( ~ ( mrel @ SV365 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) )
| ( qmltpeq @ SV160 @ SV309 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) ) )
= $false )
| ( ( ! [SY2261: mworld] :
( ~ ( mrel @ SV365 @ SY2261 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SY2261 ) ) )
= $true )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1349]) ).
thf(1435,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV366: mworld] :
( ( ( ~ ! [SY2516: mworld] :
( ~ ( mrel @ SV366 @ SY2516 )
| ~ ! [SY2517: mworld] :
( ~ ( mrel @ SY2516 @ SY2517 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2517 ) )
| ~ ( ~ ! [SY2518: mworld] :
( ~ ( mrel @ SY2516 @ SY2518 )
| ( member @ SV428 @ SV161 @ SY2518 ) )
| ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2516 @ SY2519 )
| ( member @ SV428 @ SV310 @ SY2519 ) ) ) ) )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1436,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV366: mworld] :
( ( ( ~ ! [SY2520: mworld] :
( ~ ( mrel @ SV366 @ SY2520 )
| ~ ~ ( ~ ! [SY2521: mworld] :
( ~ ( mrel @ SY2520 @ SY2521 )
| ( member @ SV428 @ SV161 @ SY2521 ) )
| ~ ! [SY2522: mworld] :
( ~ ( mrel @ SY2520 @ SY2522 )
| ( member @ SV428 @ SV310 @ SY2522 ) ) )
| ! [SY2523: mworld] :
( ~ ( mrel @ SY2520 @ SY2523 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2523 ) ) ) )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1437,plain,
! [SV162: $i,SV311: $i,SV239: mworld,SV81: mworld,SV367: mworld] :
( ( ( ~ ( mrel @ SV367 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) )
| ( qmltpeq @ SV162 @ SV311 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) ) )
= $false )
| ( ( ! [SY2272: mworld] :
( ~ ( mrel @ SV367 @ SY2272 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SY2272 ) ) )
= $true )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1351]) ).
thf(1438,plain,
! [SV163: $i,SV312: $i,SV240: mworld,SV82: mworld,SV368: mworld] :
( ( ( ~ ( mrel @ SV368 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) )
| ( qmltpeq @ SV163 @ SV312 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) ) )
= $false )
| ( ( ! [SY2274: mworld] :
( ~ ( mrel @ SV368 @ SY2274 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SY2274 ) ) )
= $true )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1352]) ).
thf(1439,plain,
! [SV164: $i,SV313: $i,SV241: mworld,SV83: mworld,SV369: mworld] :
( ( ( ~ ( mrel @ SV369 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) )
| ( qmltpeq @ SV164 @ SV313 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) ) )
= $false )
| ( ( ! [SY2276: mworld] :
( ~ ( mrel @ SV369 @ SY2276 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SY2276 ) ) )
= $true )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1353]) ).
thf(1440,plain,
! [SV3: mworld,SV165: mworld,SV374: $i,SV245: $i,SV86: $i,SV429: mworld,SV314: mworld] :
( ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( ! [SY2524: $i,SY2525: mworld] :
( ~ ( mrel @ SV429 @ SY2525 )
| ~ ! [SY1660: mworld] :
( ~ ( mrel @ SY2525 @ SY1660 )
| ( qmltpeq @ SV86 @ SV245 @ SY1660 ) )
| ! [SY2293: mworld] :
( ~ ( mrel @ SY2525 @ SY2293 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SY2524 ) @ ( restrict @ SV374 @ SV245 @ SY2524 ) @ SY2293 ) ) ) )
= $true )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1441,plain,
! [SV4: mworld,SV166: mworld,SV87: $i,SV246: $i,SV375: mworld] :
( ( ( ~ ! [SY2294: mworld] :
( ~ ( mrel @ SV375 @ SY2294 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2294 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1355]) ).
thf(1442,plain,
! [SV4: mworld,SV166: mworld,SV87: $i,SV246: $i,SV376: mworld] :
( ( ( ~ ~ ( ~ ! [SY2298: mworld] :
( ~ ( mrel @ SV376 @ SY2298 )
| ( member @ SV246 @ universal_class @ SY2298 ) )
| ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1356]) ).
thf(1443,plain,
! [SV5: mworld,SV167: mworld,SV377: $i,SV247: $i,SV88: $i,SV430: mworld,SV315: mworld] :
( ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( ~ ! [SY2528: mworld] :
( ~ ( mrel @ SV430 @ SY2528 )
| ( qmltpeq @ SV88 @ SV247 @ SY2528 ) )
| ! [SY2529: mworld] :
( ~ ( mrel @ SV430 @ SY2529 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SY2529 ) ) )
= $true )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1444,plain,
! [SV6: mworld,SV168: mworld,SV378: $i,SV248: $i,SV89: $i,SV431: mworld,SV316: mworld] :
( ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( ! [SY2530: $i,SY2531: mworld] :
( ~ ( mrel @ SV431 @ SY2531 )
| ~ ! [SY1682: mworld] :
( ~ ( mrel @ SY2531 @ SY1682 )
| ( qmltpeq @ SV89 @ SV248 @ SY1682 ) )
| ! [SY2309: mworld] :
( ~ ( mrel @ SY2531 @ SY2309 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SY2530 ) @ ( restrict @ SV248 @ SV378 @ SY2530 ) @ SY2309 ) ) ) )
= $true )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1445,plain,
! [SV7: mworld,SV169: mworld,SV379: $i,SV249: $i,SV90: $i,SV432: mworld,SV317: mworld] :
( ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( ~ ! [SY2534: mworld] :
( ~ ( mrel @ SV432 @ SY2534 )
| ( qmltpeq @ SV90 @ SV249 @ SY2534 ) )
| ! [SY2535: mworld] :
( ~ ( mrel @ SV432 @ SY2535 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SY2535 ) ) )
= $true )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1446,plain,
! [SV8: mworld,SV170: mworld,SV250: $i,SV91: $i,SV380: mworld] :
( ( ( ~ ! [SY2313: mworld] :
( ~ ( mrel @ SV380 @ SY2313 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2313 ) ) )
= $true )
| ( ( ~ ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1360]) ).
thf(1447,plain,
! [SV8: mworld,SV170: mworld,SV250: $i,SV91: $i,SV381: mworld] :
( ( ( ~ ~ ! [SY2317: $i] :
~ ~ ( ~ ! [SY2318: mworld] :
( ~ ( mrel @ SV381 @ SY2318 )
| ( member @ SV91 @ SY2317 @ SY2318 ) )
| ~ ! [SY2319: mworld] :
( ~ ( mrel @ SV381 @ SY2319 )
| ( member @ SY2317 @ SV250 @ SY2319 ) ) ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1361]) ).
thf(1448,plain,
! [SV92: $i,SV251: $i,SV171: mworld,SV9: mworld,SV318: mworld] :
( ( ( ~ ( mrel @ SV318 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) ) )
= $false )
| ( ( ! [SY2067: mworld] :
( ~ ( mrel @ SV318 @ SY2067 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SY2067 ) ) )
= $true )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1449,plain,
! [SV318: mworld,SV171: mworld,SV9: mworld,SV251: $i,SV92: $i] :
( ( ( qmltpeq @ SV92 @ SV251 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) )
= $false )
| ( ( ! [SY2067: mworld] :
( ~ ( mrel @ SV318 @ SY2067 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SY2067 ) ) )
= $true )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1450,plain,
! [SV11: mworld,SV173: mworld,SV382: $i,SV94: $i,SV253: $i,SV433: mworld,SV320: mworld] :
( ( ( mrel @ SV320 @ SV433 )
= $false )
| ( ( qmltpeq @ ( restrict @ SV253 @ SV94 @ SV382 ) @ ( intersection @ SV253 @ ( cross_product @ SV94 @ SV382 ) ) @ SV433 )
= $true )
| ( ( mrel @ SV173 @ SV320 )
= $false )
| ( ( mrel @ SV11 @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1363]) ).
thf(1451,plain,
! [SV13: mworld,SV175: mworld,SV383: $i,SV254: $i,SV96: $i,SV434: mworld,SV321: mworld] :
( ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( ~ ! [SY2536: mworld] :
( ~ ( mrel @ SV434 @ SY2536 )
| ( qmltpeq @ SV96 @ SV254 @ SY2536 ) )
| ! [SY2537: mworld] :
( ~ ( mrel @ SV434 @ SY2537 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SY2537 ) ) )
= $true )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1452,plain,
! [SV97: $i,SV255: $i,SV176: mworld,SV14: mworld,SV322: mworld] :
( ( ( ~ ( mrel @ SV322 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) ) )
= $false )
| ( ( ! [SY2075: mworld] :
( ~ ( mrel @ SV322 @ SY2075 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SY2075 ) ) )
= $true )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1453,plain,
! [SV322: mworld,SV176: mworld,SV14: mworld,SV255: $i,SV97: $i] :
( ( ( qmltpeq @ SV97 @ SV255 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) )
= $false )
| ( ( ! [SY2075: mworld] :
( ~ ( mrel @ SV322 @ SY2075 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SY2075 ) ) )
= $true )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1454,plain,
! [SV15: mworld,SV177: mworld,SV256: $i,SV98: $i,SV323: mworld] :
( ( ( ~ ! [SY2076: mworld] :
( ~ ( mrel @ SV323 @ SY2076 )
| ( member @ SV98 @ universal_class @ SY2076 ) ) )
= $true )
| ( ( ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1455,plain,
! [SV100: $i,SV258: $i,SV179: mworld,SV17: mworld,SV325: mworld] :
( ( ( ~ ( mrel @ SV325 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) ) )
= $false )
| ( ( ! [SY2080: mworld] :
( ~ ( mrel @ SV325 @ SY2080 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SY2080 ) ) )
= $true )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1367]) ).
thf(1456,plain,
! [SV325: mworld,SV179: mworld,SV17: mworld,SV258: $i,SV100: $i] :
( ( ( qmltpeq @ SV100 @ SV258 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) )
= $false )
| ( ( ! [SY2080: mworld] :
( ~ ( mrel @ SV325 @ SY2080 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SY2080 ) ) )
= $true )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1367]) ).
thf(1457,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV326: mworld] :
( ( ( ! [SY2325: mworld] :
( ~ ( mrel @ SV326 @ SY2325 )
| ~ ! [SY2326: mworld] :
( ~ ( mrel @ SY2325 @ SY2326 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2326 ) )
| ! [SY2327: mworld] :
( ~ ( mrel @ SY2325 @ SY2327 )
| ( member @ SV384 @ SV103 @ SY2327 ) )
| ! [SY2328: mworld] :
( ~ ( mrel @ SY2325 @ SY2328 )
| ( member @ SV384 @ SV259 @ SY2328 ) ) ) )
= $true )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1368]) ).
thf(1458,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV326: mworld] :
( ( ( ! [SY2329: mworld] :
( ~ ( mrel @ SV326 @ SY2329 )
| ~ ( ! [SY2330: mworld] :
( ~ ( mrel @ SY2329 @ SY2330 )
| ( member @ SV384 @ SV103 @ SY2330 ) )
| ! [SY2331: mworld] :
( ~ ( mrel @ SY2329 @ SY2331 )
| ( member @ SV384 @ SV259 @ SY2331 ) ) )
| ! [SY2332: mworld] :
( ~ ( mrel @ SY2329 @ SY2332 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2332 ) ) ) )
= $true )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1459,plain,
! [SV21: mworld,SV183: mworld,SV385: $i,SV260: $i,SV104: $i,SV435: mworld,SV327: mworld] :
( ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( ! [SY2538: $i,SY2539: mworld] :
( ~ ( mrel @ SV435 @ SY2539 )
| ~ ! [SY1737: mworld] :
( ~ ( mrel @ SY2539 @ SY1737 )
| ( qmltpeq @ SV104 @ SV260 @ SY1737 ) )
| ! [SY2337: mworld] :
( ~ ( mrel @ SY2539 @ SY2337 )
| ( qmltpeq @ ( restrict @ SV385 @ SY2538 @ SV104 ) @ ( restrict @ SV385 @ SY2538 @ SV260 ) @ SY2337 ) ) ) )
= $true )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1370]) ).
thf(1460,plain,
! [SV23: mworld,SV185: mworld,SV261: $i,SV106: $i,SV386: mworld] :
( ( ( ~ ! [SY2338: mworld] :
( ~ ( mrel @ SV386 @ SY2338 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2338 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1461,plain,
! [SV23: mworld,SV185: mworld,SV261: $i,SV106: $i,SV387: mworld] :
( ( ( ~ ~ ( ~ ! [SY2341: mworld] :
( ~ ( mrel @ SV387 @ SY2341 )
| ( member @ SV106 @ universal_class @ SY2341 ) )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1462,plain,
! [SV24: mworld,SV186: mworld,SV388: $i,SV262: $i,SV107: $i,SV436: mworld,SV328: mworld] :
( ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( ~ ! [SY2542: mworld] :
( ~ ( mrel @ SV436 @ SY2542 )
| ( qmltpeq @ SV107 @ SV262 @ SY2542 ) )
| ! [SY2543: mworld] :
( ~ ( mrel @ SV436 @ SY2543 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SY2543 ) ) )
= $true )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1463,plain,
! [SV25: mworld,SV187: mworld,SV389: $i,SV263: $i,SV108: $i,SV437: mworld,SV329: mworld] :
( ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2544: mworld] :
( ~ ( mrel @ SV437 @ SY2544 )
| ( qmltpeq @ SV108 @ SV263 @ SY2544 ) )
| ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1464,plain,
! [SV26: mworld,SV188: mworld,SV109: $i,SV264: $i,SV390: mworld] :
( ( ( ~ ! [SY2351: mworld] :
( ~ ( mrel @ SV390 @ SY2351 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2351 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1465,plain,
! [SV26: mworld,SV188: mworld,SV109: $i,SV264: $i,SV391: mworld] :
( ( ( ~ ~ ( ~ ! [SY2355: mworld] :
( ~ ( mrel @ SV391 @ SY2355 )
| ( member @ SV264 @ universal_class @ SY2355 ) )
| ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1376]) ).
thf(1466,plain,
! [SV27: mworld,SV189: mworld,SV392: $i,SV265: $i,SV110: $i,SV438: mworld,SV330: mworld] :
( ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( ~ ! [SY2547: mworld] :
( ~ ( mrel @ SV438 @ SY2547 )
| ( qmltpeq @ SV110 @ SV265 @ SY2547 ) )
| ! [SY2548: mworld] :
( ~ ( mrel @ SV438 @ SY2548 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SY2548 ) ) )
= $true )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1467,plain,
! [SV28: mworld,SV190: mworld,SV393: $i,SV266: $i,SV111: $i,SV439: mworld,SV331: mworld] :
( ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( ~ ! [SY2549: mworld] :
( ~ ( mrel @ SV439 @ SY2549 )
| ( qmltpeq @ SV111 @ SV266 @ SY2549 ) )
| ! [SY2550: mworld] :
( ~ ( mrel @ SV439 @ SY2550 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SY2550 ) ) )
= $true )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1468,plain,
! [SV113: $i,SV268: $i,SV192: mworld,SV31: mworld,SV333: mworld] :
( ( ( ~ ( mrel @ SV333 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) ) )
= $false )
| ( ( ! [SY2114: mworld] :
( ~ ( mrel @ SV333 @ SY2114 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SY2114 ) ) )
= $true )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1469,plain,
! [SV333: mworld,SV192: mworld,SV31: mworld,SV268: $i,SV113: $i] :
( ( ( qmltpeq @ SV113 @ SV268 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) )
= $false )
| ( ( ! [SY2114: mworld] :
( ~ ( mrel @ SV333 @ SY2114 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SY2114 ) ) )
= $true )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1470,plain,
! [SV32: mworld,SV193: mworld,SV394: $i,SV269: $i,SV114: $i,SV440: mworld,SV334: mworld] :
( ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2551: mworld] :
( ~ ( mrel @ SV440 @ SY2551 )
| ( qmltpeq @ SV114 @ SV269 @ SY2551 ) )
| ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
| ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1380]) ).
thf(1471,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV395: mworld] :
( ( ( ~ ! [SY2369: mworld] :
( ~ ( mrel @ SV395 @ SY2369 )
| ( subclass @ SV115 @ SV270 @ SY2369 ) ) )
= $true )
| ( ( ! [SY2370: mworld] :
( ~ ( mrel @ SV395 @ SY2370 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY2370 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1381]) ).
thf(1472,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( ~ ! [SY2375: mworld] :
( ~ ( mrel @ SV396 @ SY2375 )
| ! [SY1797: $i,SY1798: mworld] :
( ~ ( mrel @ SY2375 @ SY1798 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY1798 @ SY846 )
| ( member @ SY1797 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY1798 @ SY1800 )
| ( member @ SY1797 @ SV270 @ SY1800 ) ) ) ) )
= $true )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1382]) ).
thf(1473,plain,
! [SV34: mworld,SV195: mworld,SV271: $i,SV116: $i,SV335: mworld] :
( ( ( ~ ! [SY2120: mworld] :
( ~ ( mrel @ SV335 @ SY2120 )
| ( qmltpeq @ SV116 @ SV271 @ SY2120 ) ) )
= $true )
| ( ( ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1383]) ).
thf(1474,plain,
! [SV117: $i,SV272: $i,SV196: mworld,SV35: mworld,SV336: mworld] :
( ( ( ~ ( mrel @ SV336 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) ) )
= $false )
| ( ( ! [SY2124: mworld] :
( ~ ( mrel @ SV336 @ SY2124 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SY2124 ) ) )
= $true )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1475,plain,
! [SV336: mworld,SV196: mworld,SV35: mworld,SV272: $i,SV117: $i] :
( ( ( qmltpeq @ SV117 @ SV272 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) )
= $false )
| ( ( ! [SY2124: mworld] :
( ~ ( mrel @ SV336 @ SY2124 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SY2124 ) ) )
= $true )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1476,plain,
! [SV36: mworld,SV197: mworld,SV397: $i,SV273: $i,SV118: $i,SV441: mworld,SV337: mworld] :
( ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( ~ ! [SY2554: mworld] :
( ~ ( mrel @ SV441 @ SY2554 )
| ( qmltpeq @ SV118 @ SV273 @ SY2554 ) )
| ! [SY2555: mworld] :
( ~ ( mrel @ SV441 @ SY2555 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SY2555 ) ) )
= $true )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1385]) ).
thf(1477,plain,
! [SV37: mworld,SV198: mworld,SV398: $i,SV274: $i,SV119: $i,SV442: mworld,SV338: mworld] :
( ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( ~ ! [SY2556: mworld] :
( ~ ( mrel @ SV442 @ SY2556 )
| ( qmltpeq @ SV119 @ SV274 @ SY2556 ) )
| ! [SY2557: mworld] :
( ~ ( mrel @ SV442 @ SY2557 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SY2557 ) ) )
= $true )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1478,plain,
! [SV38: mworld,SV120: $i,SV443: mworld,SV199: mworld] :
( ( ( mrel @ SV199 @ SV443 )
= $false )
| ( ( member @ ( sum_class @ SV120 ) @ universal_class @ SV443 )
= $true )
| ( ( mrel @ SV199 @ ( sK7_SY1389 @ SV38 @ SV120 @ SV199 ) )
= $true )
| ( ( mrel @ SV38 @ SV199 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1479,plain,
! [SV39: mworld,SV200: mworld,SV400: $i,SV275: $i,SV121: $i,SV444: mworld,SV339: mworld] :
( ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2558: mworld] :
( ~ ( mrel @ SV444 @ SY2558 )
| ( qmltpeq @ SV121 @ SV275 @ SY2558 ) )
| ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
| ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1480,plain,
! [SV40: mworld,SV201: mworld,SV401: $i,SV276: $i,SV122: $i,SV445: mworld,SV340: mworld] :
( ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( ~ ! [SY2561: mworld] :
( ~ ( mrel @ SV445 @ SY2561 )
| ( qmltpeq @ SV122 @ SV276 @ SY2561 ) )
| ! [SY2562: mworld] :
( ~ ( mrel @ SV445 @ SY2562 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SY2562 ) ) )
= $true )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1481,plain,
! [SV41: mworld,SV202: mworld,SV402: $i,SV277: $i,SV123: $i,SV446: mworld,SV341: mworld] :
( ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( ~ ! [SY2563: mworld] :
( ~ ( mrel @ SV446 @ SY2563 )
| ( qmltpeq @ SV123 @ SV277 @ SY2563 ) )
| ! [SY2564: mworld] :
( ~ ( mrel @ SV446 @ SY2564 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SY2564 ) ) )
= $true )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1482,plain,
! [SV42: mworld,SV203: mworld,SV403: $i,SV278: $i,SV124: $i,SV447: mworld,SV342: mworld] :
( ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2565: mworld] :
( ~ ( mrel @ SV447 @ SY2565 )
| ( qmltpeq @ SV124 @ SV278 @ SY2565 ) )
| ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
| ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1483,plain,
! [SV43: mworld,SV125: $i,SV448: mworld,SV204: mworld] :
( ( ( mrel @ SV204 @ SV448 )
= $false )
| ( ( member @ ( power_class @ SV125 ) @ universal_class @ SV448 )
= $true )
| ( ( mrel @ SV204 @ ( sK8_SY1417 @ SV43 @ SV125 @ SV204 ) )
= $true )
| ( ( mrel @ SV43 @ SV204 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1393]) ).
thf(1484,plain,
! [SV44: mworld,SV205: mworld,SV405: $i,SV279: $i,SV126: $i,SV449: mworld,SV343: mworld] :
( ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( ~ ! [SY2568: mworld] :
( ~ ( mrel @ SV449 @ SY2568 )
| ( qmltpeq @ SV126 @ SV279 @ SY2568 ) )
| ! [SY2569: mworld] :
( ~ ( mrel @ SV449 @ SY2569 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SY2569 ) ) )
= $true )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1485,plain,
! [SV45: mworld,SV206: mworld,SV280: $i,SV127: $i,SV344: mworld] :
( ( ( ~ ! [SY2155: mworld] :
( ~ ( mrel @ SV344 @ SY2155 )
| ( qmltpeq @ SV127 @ SV280 @ SY2155 ) ) )
= $true )
| ( ( ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1396]) ).
thf(1486,plain,
! [SV46: mworld,SV207: mworld,SV406: $i,SV281: $i,SV128: $i,SV450: mworld,SV345: mworld] :
( ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2570: mworld] :
( ~ ( mrel @ SV450 @ SY2570 )
| ( qmltpeq @ SV128 @ SV281 @ SY2570 ) )
| ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
| ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1487,plain,
! [SV243: mworld,SV370: $i,SV373: mworld] :
( ( ( ! [SY2286: mworld] :
( ~ ( mrel @ SV373 @ SY2286 )
| ( member @ SV370 @ universal_class @ SY2286 ) ) )
= $false )
| ( ( ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) )
| ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1488,plain,
! [SV48: mworld,SV209: mworld,SV282: $i,SV130: $i,SV407: mworld] :
( ( ( ~ ! [SY2408: mworld] :
( ~ ( mrel @ SV407 @ SY2408 )
| ( qmltpeq @ SV130 @ SV282 @ SY2408 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1399]) ).
thf(1489,plain,
! [SV48: mworld,SV209: mworld,SV282: $i,SV130: $i,SV408: mworld] :
( ( ( ~ ~ ( ~ ! [SY2411: mworld] :
( ~ ( mrel @ SV408 @ SY2411 )
| ( subclass @ SV130 @ SV282 @ SY2411 ) )
| ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1490,plain,
! [SV132: $i,SV283: $i,SV211: mworld,SV50: mworld,SV346: mworld] :
( ( ( ~ ( mrel @ SV346 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) ) )
= $false )
| ( ( ! [SY2164: mworld] :
( ~ ( mrel @ SV346 @ SY2164 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SY2164 ) ) )
= $true )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1491,plain,
! [SV346: mworld,SV211: mworld,SV50: mworld,SV283: $i,SV132: $i] :
( ( ( qmltpeq @ SV132 @ SV283 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) )
= $false )
| ( ( ! [SY2164: mworld] :
( ~ ( mrel @ SV346 @ SY2164 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SY2164 ) ) )
= $true )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1492,plain,
! [SV133: $i,SV284: $i,SV212: mworld,SV51: mworld,SV347: mworld] :
( ( ( ~ ( mrel @ SV347 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) ) )
= $false )
| ( ( ! [SY2166: mworld] :
( ~ ( mrel @ SV347 @ SY2166 )
| ( qmltpeq @ SV284 @ SV133 @ SY2166 ) ) )
= $true )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1493,plain,
! [SV347: mworld,SV212: mworld,SV51: mworld,SV284: $i,SV133: $i] :
( ( ( qmltpeq @ SV133 @ SV284 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) )
= $false )
| ( ( ! [SY2166: mworld] :
( ~ ( mrel @ SV347 @ SY2166 )
| ( qmltpeq @ SV284 @ SV133 @ SY2166 ) ) )
= $true )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1494,plain,
! [SV451: $i,SV465: mworld,SV372: mworld] :
( ( ( ~ ( mrel @ SV372 @ SV465 ) )
= $true )
| ( ( ~ ! [SY2630: mworld] :
( ~ ( mrel @ SV465 @ SY2630 )
| ( inductive @ SV451 @ SY2630 ) )
| ! [SY2631: mworld] :
( ~ ( mrel @ SV465 @ SY2631 )
| ( subclass @ sK3_SX0 @ SV451 @ SY2631 ) ) )
= $true )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1403]) ).
thf(1495,plain,
! [SV134: $i,SV285: $i,SV213: mworld,SV52: mworld,SV348: mworld] :
( ( ( ~ ( mrel @ SV348 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) ) )
= $false )
| ( ( ! [SY2168: mworld] :
( ~ ( mrel @ SV348 @ SY2168 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SY2168 ) ) )
= $true )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1404]) ).
thf(1496,plain,
! [SV348: mworld,SV213: mworld,SV52: mworld,SV285: $i,SV134: $i] :
( ( ( qmltpeq @ SV134 @ SV285 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) )
= $false )
| ( ( ! [SY2168: mworld] :
( ~ ( mrel @ SV348 @ SY2168 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SY2168 ) ) )
= $true )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1404]) ).
thf(1497,plain,
! [SV54: mworld,SV215: mworld,SV409: $i,SV286: $i,SV136: $i,SV452: mworld,SV349: mworld] :
( ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2576: mworld] :
( ~ ( mrel @ SV452 @ SY2576 )
| ( qmltpeq @ SV136 @ SV286 @ SY2576 ) )
| ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
| ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1498,plain,
! [SV137: $i,SV55: mworld,SV287: mworld] :
( ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( ~ ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1406]) ).
thf(1499,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) )
= $false )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1500,plain,
! [SV55: mworld,SV137: $i,SV288: mworld] :
( ( ( ! [SY1882: mworld] :
( ~ ( mrel @ SV288 @ SY1882 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1882 ) ) )
= $false )
| ( ( ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1501,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV410: mworld] :
( ( ( ~ ! [SY2418: mworld] :
( ~ ( mrel @ SV410 @ SY2418 )
| ( disjoint @ SV138 @ SV289 @ SY2418 ) ) )
= $true )
| ( ( ! [SY2419: mworld] :
( ~ ( mrel @ SV410 @ SY2419 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY2419 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1409]) ).
thf(1502,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ~ ! [SY2424: mworld] :
( ~ ( mrel @ SV411 @ SY2424 )
| ! [SY1894: $i,SY1895: mworld] :
( ~ ( mrel @ SY2424 @ SY1895 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY1895 @ SY990 )
| ( member @ SY1894 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY1895 @ SY1897 )
| ( member @ SY1894 @ SV289 @ SY1897 ) ) ) ) ) )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1410]) ).
thf(1503,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV412: mworld] :
( ( ( ~ ! [SY2430: mworld] :
( ~ ( mrel @ SV412 @ SY2430 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2430 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1411]) ).
thf(1504,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV413: mworld] :
( ( ( ~ ~ ( ~ ! [SY2434: mworld] :
( ~ ( mrel @ SV413 @ SY2434 )
| ( member @ SV139 @ universal_class @ SY2434 ) )
| ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1412]) ).
thf(1505,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV350: mworld] :
( ( ( ! [SY2438: mworld] :
( ~ ( mrel @ SV350 @ SY2438 )
| ~ ! [SY2439: mworld] :
( ~ ( mrel @ SY2438 @ SY2439 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2439 ) )
| ~ ( ~ ! [SY1011: mworld] :
( ~ ( mrel @ SY2438 @ SY1011 )
| ( member @ SV140 @ universal_class @ SY1011 ) )
| ~ ( ! [SY1914: mworld] :
( ~ ( mrel @ SY2438 @ SY1914 )
| ( qmltpeq @ SV140 @ SV291 @ SY1914 ) )
| ! [SY2442: mworld] :
( ~ ( mrel @ SY2438 @ SY2442 )
| ( qmltpeq @ SV140 @ SV414 @ SY2442 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1413]) ).
thf(1506,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV350: mworld] :
( ( ( ! [SY2443: mworld] :
( ~ ( mrel @ SV350 @ SY2443 )
| ~ ~ ( ~ ! [SY1015: mworld] :
( ~ ( mrel @ SY2443 @ SY1015 )
| ( member @ SV140 @ universal_class @ SY1015 ) )
| ~ ( ! [SY1918: mworld] :
( ~ ( mrel @ SY2443 @ SY1918 )
| ( qmltpeq @ SV140 @ SV291 @ SY1918 ) )
| ! [SY2446: mworld] :
( ~ ( mrel @ SY2443 @ SY2446 )
| ( qmltpeq @ SV140 @ SV414 @ SY2446 ) ) ) )
| ! [SY2447: mworld] :
( ~ ( mrel @ SY2443 @ SY2447 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2447 ) ) ) )
= $true )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1414]) ).
thf(1507,plain,
! [SV60: mworld,SV219: mworld,SV292: $i,SV141: $i,SV415: $i,SV453: mworld,SV351: mworld] :
( ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( ~ ! [SY2579: mworld] :
( ~ ( mrel @ SV453 @ SY2579 )
| ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ SY2579 ) )
| ! [SY2580: mworld] :
( ~ ( mrel @ SV453 @ SY2580 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SY2580 ) ) )
= $true )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1508,plain,
! [SV142: $i,SV61: mworld,SV293: mworld] :
( ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( ~ ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1416]) ).
thf(1509,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) )
= $false )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1510,plain,
! [SV61: mworld,SV142: $i,SV294: mworld] :
( ( ( ! [SY1929: mworld] :
( ~ ( mrel @ SV294 @ SY1929 )
| ( member @ null_class @ SV142 @ SY1929 ) ) )
= $false )
| ( ( ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1511,plain,
! [SV62: mworld,SV220: mworld,SV143: $i,SV416: $i,SV295: $i,SV454: mworld,SV352: mworld] :
( ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( ! [SY2581: $i] :
~ ( ~ ! [SY2582: mworld] :
( ~ ( mrel @ SV454 @ SY2582 )
| ~ ! [SY2454: mworld] :
( ~ ( mrel @ SY2582 @ SY2454 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( rotate @ SV143 ) @ SY2454 ) )
| ~ ( ~ ! [SY2455: mworld] :
( ~ ( mrel @ SY2582 @ SY2455 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2455 ) )
| ~ ! [SY2456: mworld] :
( ~ ( mrel @ SY2582 @ SY2456 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SY2581 ) @ SV295 ) @ SV143 @ SY2456 ) ) ) )
| ~ ! [SY2586: mworld] :
( ~ ( mrel @ SV454 @ SY2586 )
| ~ ~ ( ~ ! [SY2458: mworld] :
( ~ ( mrel @ SY2586 @ SY2458 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2458 ) )
| ~ ! [SY2459: mworld] :
( ~ ( mrel @ SY2586 @ SY2459 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SY2581 ) @ SV295 ) @ SV143 @ SY2459 ) ) )
| ! [SY2460: mworld] :
( ~ ( mrel @ SY2586 @ SY2460 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SY2581 ) @ ( rotate @ SV143 ) @ SY2460 ) ) ) ) )
= $true )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1512,plain,
! [SV144: $i,SV296: $i,SV221: mworld,SV63: mworld,SV353: mworld] :
( ( ( ~ ( mrel @ SV353 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) ) )
= $false )
| ( ( ! [SY2201: mworld] :
( ~ ( mrel @ SV353 @ SY2201 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SY2201 ) ) )
= $true )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1420]) ).
thf(1513,plain,
! [SV353: mworld,SV221: mworld,SV63: mworld,SV296: $i,SV144: $i] :
( ( ( qmltpeq @ SV144 @ SV296 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) )
= $false )
| ( ( ! [SY2201: mworld] :
( ~ ( mrel @ SV353 @ SY2201 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SY2201 ) ) )
= $true )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1420]) ).
thf(1514,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV222 @ SY2632 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ universal_class @ SY2632 ) )
| ~ ~ ( ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV222 @ SY2633 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2633 ) )
| ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV222 @ SY2634 )
| ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2634 ) ) ) ) )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1515,plain,
! [SV455: mworld,SV222: mworld,SV145: $i,SV64: mworld] :
( ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( ~ ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1516,plain,
! [SV65: mworld,SV223: mworld,SV297: $i,SV146: $i,SV417: mworld] :
( ( ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SV417 @ SY2461 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2461 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1517,plain,
! [SV65: mworld,SV223: mworld,SV146: $i,SV297: $i,SV418: mworld] :
( ( ( ~ ~ ( ~ ! [SY2464: mworld] :
( ~ ( mrel @ SV418 @ SY2464 )
| ( member @ SV297 @ universal_class @ SY2464 ) )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1424]) ).
thf(1518,plain,
! [SV66: mworld,SV224: mworld,SV419: $i,SV298: $i,SV147: $i,SV456: mworld,SV354: mworld] :
( ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( ~ ! [SY2590: mworld] :
( ~ ( mrel @ SV456 @ SY2590 )
| ( qmltpeq @ SV147 @ SV298 @ SY2590 ) )
| ! [SY2591: mworld] :
( ~ ( mrel @ SV456 @ SY2591 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SY2591 ) ) )
= $true )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1519,plain,
! [SV68: mworld,SV226: mworld,SV420: $i,SV299: $i,SV149: $i,SV457: mworld,SV355: mworld] :
( ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( ~ ! [SY2592: mworld] :
( ~ ( mrel @ SV457 @ SY2592 )
| ( qmltpeq @ SV149 @ SV299 @ SY2592 ) )
| ! [SY2593: mworld] :
( ~ ( mrel @ SV457 @ SY2593 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SY2593 ) ) )
= $true )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1520,plain,
! [SV69: mworld,SV227: mworld,SV421: $i,SV300: $i,SV150: $i,SV458: mworld,SV356: mworld] :
( ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( ~ ! [SY2594: mworld] :
( ~ ( mrel @ SV458 @ SY2594 )
| ( qmltpeq @ SV150 @ SV300 @ SY2594 ) )
| ! [SY2595: mworld] :
( ~ ( mrel @ SV458 @ SY2595 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SY2595 ) ) )
= $true )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1521,plain,
! [SV70: mworld,SV228: mworld,SV422: $i,SV301: $i,SV151: $i,SV459: mworld,SV357: mworld] :
( ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( ~ ! [SY2596: mworld] :
( ~ ( mrel @ SV459 @ SY2596 )
| ( qmltpeq @ SV151 @ SV301 @ SY2596 ) )
| ! [SY2597: mworld] :
( ~ ( mrel @ SV459 @ SY2597 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SY2597 ) ) )
= $true )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1522,plain,
! [SV71: mworld,SV229: mworld,SV423: $i,SV302: $i,SV152: $i,SV460: mworld,SV358: mworld] :
( ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2598: mworld] :
( ~ ( mrel @ SV460 @ SY2598 )
| ( qmltpeq @ SV152 @ SV302 @ SY2598 ) )
| ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
| ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1523,plain,
! [SV74: mworld,SV232: mworld,SV424: $i,SV304: $i,SV155: $i,SV461: mworld,SV360: mworld] :
( ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( ~ ! [SY2601: mworld] :
( ~ ( mrel @ SV461 @ SY2601 )
| ( qmltpeq @ SV155 @ SV304 @ SY2601 ) )
| ! [SY2602: mworld] :
( ~ ( mrel @ SV461 @ SY2602 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SY2602 ) ) )
= $true )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1524,plain,
! [SV76: mworld,SV234: mworld,SV425: $i,SV306: $i,SV157: $i,SV462: mworld,SV362: mworld] :
( ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( ! [SY2603: $i] :
~ ( ~ ! [SY2604: mworld] :
( ~ ( mrel @ SV462 @ SY2604 )
| ~ ! [SY2489: mworld] :
( ~ ( mrel @ SY2604 @ SY2489 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SY2603 ) @ SY2489 ) )
| ~ ( ~ ! [SY2490: mworld] :
( ~ ( mrel @ SY2604 @ SY2490 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2490 ) )
| ~ ! [SY2491: mworld] :
( ~ ( mrel @ SY2604 @ SY2491 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SY2603 @ SY2491 ) ) ) )
| ~ ! [SY2608: mworld] :
( ~ ( mrel @ SV462 @ SY2608 )
| ~ ~ ( ~ ! [SY2493: mworld] :
( ~ ( mrel @ SY2608 @ SY2493 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2493 ) )
| ~ ! [SY2494: mworld] :
( ~ ( mrel @ SY2608 @ SY2494 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SY2603 @ SY2494 ) ) )
| ! [SY2495: mworld] :
( ~ ( mrel @ SY2608 @ SY2495 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SY2603 ) @ SY2495 ) ) ) ) )
= $true )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1525,plain,
! [SV77: mworld,SV235: mworld,SV158: $i,SV307: $i,SV426: $i,SV463: mworld,SV363: mworld] :
( ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( ! [SY2612: $i] :
~ ( ~ ! [SY2613: mworld] :
( ~ ( mrel @ SV463 @ SY2613 )
| ~ ! [SY2499: mworld] :
( ~ ( mrel @ SY2613 @ SY2499 )
| ( member @ ( ordered_pair @ SV426 @ SY2612 ) @ ( compose @ SV307 @ SV158 ) @ SY2499 ) )
| ~ ( ~ ! [SY2500: mworld] :
( ~ ( mrel @ SY2613 @ SY2500 )
| ( member @ SV426 @ universal_class @ SY2500 ) )
| ~ ! [SY2501: mworld] :
( ~ ( mrel @ SY2613 @ SY2501 )
| ( member @ SY2612 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2501 ) ) ) )
| ~ ! [SY2617: mworld] :
( ~ ( mrel @ SV463 @ SY2617 )
| ~ ~ ( ~ ! [SY2503: mworld] :
( ~ ( mrel @ SY2617 @ SY2503 )
| ( member @ SV426 @ universal_class @ SY2503 ) )
| ~ ! [SY2504: mworld] :
( ~ ( mrel @ SY2617 @ SY2504 )
| ( member @ SY2612 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2504 ) ) )
| ! [SY2505: mworld] :
( ~ ( mrel @ SY2617 @ SY2505 )
| ( member @ ( ordered_pair @ SV426 @ SY2612 ) @ ( compose @ SV307 @ SV158 ) @ SY2505 ) ) ) ) )
= $true )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1526,plain,
! [SV78: mworld,SV236: mworld,SV427: $i,SV308: $i,SV159: $i,SV464: mworld,SV364: mworld] :
( ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( ! [SY2621: $i] :
~ ( ~ ! [SY2622: mworld] :
( ~ ( mrel @ SV464 @ SY2622 )
| ~ ! [SY2509: mworld] :
( ~ ( mrel @ SY2622 @ SY2509 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SY2621 ) @ SY2509 ) )
| ~ ( ~ ! [SY2510: mworld] :
( ~ ( mrel @ SY2622 @ SY2510 )
| ( member @ SV159 @ SV427 @ SY2510 ) )
| ~ ! [SY2019: mworld] :
( ~ ( mrel @ SY2622 @ SY2019 )
| ( member @ SV308 @ SY2621 @ SY2019 ) ) ) )
| ~ ! [SY2626: mworld] :
( ~ ( mrel @ SV464 @ SY2626 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2626 @ SY2513 )
| ( member @ SV159 @ SV427 @ SY2513 ) )
| ~ ! [SY2022: mworld] :
( ~ ( mrel @ SY2626 @ SY2022 )
| ( member @ SV308 @ SY2621 @ SY2022 ) ) )
| ! [SY2515: mworld] :
( ~ ( mrel @ SY2626 @ SY2515 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SY2621 ) @ SY2515 ) ) ) ) )
= $true )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1527,plain,
! [SV160: $i,SV309: $i,SV237: mworld,SV79: mworld,SV365: mworld] :
( ( ( ~ ( mrel @ SV365 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) ) )
= $false )
| ( ( ! [SY2261: mworld] :
( ~ ( mrel @ SV365 @ SY2261 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SY2261 ) ) )
= $true )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1528,plain,
! [SV365: mworld,SV237: mworld,SV79: mworld,SV309: $i,SV160: $i] :
( ( ( qmltpeq @ SV160 @ SV309 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) )
= $false )
| ( ( ! [SY2261: mworld] :
( ~ ( mrel @ SV365 @ SY2261 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SY2261 ) ) )
= $true )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1529,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV366: mworld] :
( ( ( ! [SY2516: mworld] :
( ~ ( mrel @ SV366 @ SY2516 )
| ~ ! [SY2517: mworld] :
( ~ ( mrel @ SY2516 @ SY2517 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2517 ) )
| ~ ( ~ ! [SY2518: mworld] :
( ~ ( mrel @ SY2516 @ SY2518 )
| ( member @ SV428 @ SV161 @ SY2518 ) )
| ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2516 @ SY2519 )
| ( member @ SV428 @ SV310 @ SY2519 ) ) ) ) )
= $true )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1530,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV366: mworld] :
( ( ( ! [SY2520: mworld] :
( ~ ( mrel @ SV366 @ SY2520 )
| ~ ~ ( ~ ! [SY2521: mworld] :
( ~ ( mrel @ SY2520 @ SY2521 )
| ( member @ SV428 @ SV161 @ SY2521 ) )
| ~ ! [SY2522: mworld] :
( ~ ( mrel @ SY2520 @ SY2522 )
| ( member @ SV428 @ SV310 @ SY2522 ) ) )
| ! [SY2523: mworld] :
( ~ ( mrel @ SY2520 @ SY2523 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2523 ) ) ) )
= $true )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1531,plain,
! [SV162: $i,SV311: $i,SV239: mworld,SV81: mworld,SV367: mworld] :
( ( ( ~ ( mrel @ SV367 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) ) )
= $false )
| ( ( ! [SY2272: mworld] :
( ~ ( mrel @ SV367 @ SY2272 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SY2272 ) ) )
= $true )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1437]) ).
thf(1532,plain,
! [SV367: mworld,SV239: mworld,SV81: mworld,SV311: $i,SV162: $i] :
( ( ( qmltpeq @ SV162 @ SV311 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) )
= $false )
| ( ( ! [SY2272: mworld] :
( ~ ( mrel @ SV367 @ SY2272 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SY2272 ) ) )
= $true )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1437]) ).
thf(1533,plain,
! [SV163: $i,SV312: $i,SV240: mworld,SV82: mworld,SV368: mworld] :
( ( ( ~ ( mrel @ SV368 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) ) )
= $false )
| ( ( ! [SY2274: mworld] :
( ~ ( mrel @ SV368 @ SY2274 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SY2274 ) ) )
= $true )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1438]) ).
thf(1534,plain,
! [SV368: mworld,SV240: mworld,SV82: mworld,SV312: $i,SV163: $i] :
( ( ( qmltpeq @ SV163 @ SV312 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) )
= $false )
| ( ( ! [SY2274: mworld] :
( ~ ( mrel @ SV368 @ SY2274 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SY2274 ) ) )
= $true )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1438]) ).
thf(1535,plain,
! [SV164: $i,SV313: $i,SV241: mworld,SV83: mworld,SV369: mworld] :
( ( ( ~ ( mrel @ SV369 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) ) )
= $false )
| ( ( ! [SY2276: mworld] :
( ~ ( mrel @ SV369 @ SY2276 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SY2276 ) ) )
= $true )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1536,plain,
! [SV369: mworld,SV241: mworld,SV83: mworld,SV313: $i,SV164: $i] :
( ( ( qmltpeq @ SV164 @ SV313 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) )
= $false )
| ( ( ! [SY2276: mworld] :
( ~ ( mrel @ SV369 @ SY2276 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SY2276 ) ) )
= $true )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1537,plain,
! [SV3: mworld,SV165: mworld,SV314: mworld,SV466: $i,SV374: $i,SV245: $i,SV86: $i,SV429: mworld] :
( ( ( ! [SY2635: mworld] :
( ~ ( mrel @ SV429 @ SY2635 )
| ~ ! [SY1660: mworld] :
( ~ ( mrel @ SY2635 @ SY1660 )
| ( qmltpeq @ SV86 @ SV245 @ SY1660 ) )
| ! [SY2637: mworld] :
( ~ ( mrel @ SY2635 @ SY2637 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SY2637 ) ) ) )
= $true )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1538,plain,
! [SV4: mworld,SV166: mworld,SV87: $i,SV246: $i,SV375: mworld] :
( ( ( ! [SY2294: mworld] :
( ~ ( mrel @ SV375 @ SY2294 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2294 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1539,plain,
! [SV4: mworld,SV166: mworld,SV87: $i,SV246: $i,SV376: mworld] :
( ( ( ~ ( ~ ! [SY2298: mworld] :
( ~ ( mrel @ SV376 @ SY2298 )
| ( member @ SV246 @ universal_class @ SY2298 ) )
| ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) ) )
= $false )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1540,plain,
! [SV5: mworld,SV167: mworld,SV315: mworld,SV377: $i,SV247: $i,SV88: $i,SV430: mworld] :
( ( ( ~ ! [SY2528: mworld] :
( ~ ( mrel @ SV430 @ SY2528 )
| ( qmltpeq @ SV88 @ SV247 @ SY2528 ) ) )
= $true )
| ( ( ! [SY2529: mworld] :
( ~ ( mrel @ SV430 @ SY2529 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SY2529 ) ) )
= $true )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1443]) ).
thf(1541,plain,
! [SV6: mworld,SV168: mworld,SV316: mworld,SV467: $i,SV378: $i,SV248: $i,SV89: $i,SV431: mworld] :
( ( ( ! [SY2638: mworld] :
( ~ ( mrel @ SV431 @ SY2638 )
| ~ ! [SY1682: mworld] :
( ~ ( mrel @ SY2638 @ SY1682 )
| ( qmltpeq @ SV89 @ SV248 @ SY1682 ) )
| ! [SY2640: mworld] :
( ~ ( mrel @ SY2638 @ SY2640 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SY2640 ) ) ) )
= $true )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(1542,plain,
! [SV7: mworld,SV169: mworld,SV317: mworld,SV379: $i,SV249: $i,SV90: $i,SV432: mworld] :
( ( ( ~ ! [SY2534: mworld] :
( ~ ( mrel @ SV432 @ SY2534 )
| ( qmltpeq @ SV90 @ SV249 @ SY2534 ) ) )
= $true )
| ( ( ! [SY2535: mworld] :
( ~ ( mrel @ SV432 @ SY2535 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SY2535 ) ) )
= $true )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1445]) ).
thf(1543,plain,
! [SV8: mworld,SV170: mworld,SV250: $i,SV91: $i,SV380: mworld] :
( ( ( ! [SY2313: mworld] :
( ~ ( mrel @ SV380 @ SY2313 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2313 ) ) )
= $false )
| ( ( ~ ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1446]) ).
thf(1544,plain,
! [SV8: mworld,SV170: mworld,SV250: $i,SV91: $i,SV381: mworld] :
( ( ( ~ ! [SY2317: $i] :
~ ~ ( ~ ! [SY2318: mworld] :
( ~ ( mrel @ SV381 @ SY2318 )
| ( member @ SV91 @ SY2317 @ SY2318 ) )
| ~ ! [SY2319: mworld] :
( ~ ( mrel @ SV381 @ SY2319 )
| ( member @ SY2317 @ SV250 @ SY2319 ) ) ) )
= $false )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1545,plain,
! [SV92: $i,SV251: $i,SV171: mworld,SV9: mworld,SV318: mworld] :
( ( ( mrel @ SV318 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) )
= $true )
| ( ( ! [SY2067: mworld] :
( ~ ( mrel @ SV318 @ SY2067 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SY2067 ) ) )
= $true )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1546,plain,
! [SV171: mworld,SV9: mworld,SV251: $i,SV92: $i,SV468: mworld,SV318: mworld] :
( ( ( ~ ( mrel @ SV318 @ SV468 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SV468 ) )
= $true )
| ( ( qmltpeq @ SV92 @ SV251 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) )
= $false )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1547,plain,
! [SV13: mworld,SV175: mworld,SV321: mworld,SV383: $i,SV254: $i,SV96: $i,SV434: mworld] :
( ( ( ~ ! [SY2536: mworld] :
( ~ ( mrel @ SV434 @ SY2536 )
| ( qmltpeq @ SV96 @ SV254 @ SY2536 ) ) )
= $true )
| ( ( ! [SY2537: mworld] :
( ~ ( mrel @ SV434 @ SY2537 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SY2537 ) ) )
= $true )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1451]) ).
thf(1548,plain,
! [SV97: $i,SV255: $i,SV176: mworld,SV14: mworld,SV322: mworld] :
( ( ( mrel @ SV322 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) )
= $true )
| ( ( ! [SY2075: mworld] :
( ~ ( mrel @ SV322 @ SY2075 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SY2075 ) ) )
= $true )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1452]) ).
thf(1549,plain,
! [SV176: mworld,SV14: mworld,SV255: $i,SV97: $i,SV469: mworld,SV322: mworld] :
( ( ( ~ ( mrel @ SV322 @ SV469 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SV469 ) )
= $true )
| ( ( qmltpeq @ SV97 @ SV255 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) )
= $false )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(1550,plain,
! [SV15: mworld,SV177: mworld,SV256: $i,SV98: $i,SV323: mworld] :
( ( ( ! [SY2076: mworld] :
( ~ ( mrel @ SV323 @ SY2076 )
| ( member @ SV98 @ universal_class @ SY2076 ) ) )
= $false )
| ( ( ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1551,plain,
! [SV100: $i,SV258: $i,SV179: mworld,SV17: mworld,SV325: mworld] :
( ( ( mrel @ SV325 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) )
= $true )
| ( ( ! [SY2080: mworld] :
( ~ ( mrel @ SV325 @ SY2080 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SY2080 ) ) )
= $true )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1455]) ).
thf(1552,plain,
! [SV179: mworld,SV17: mworld,SV258: $i,SV100: $i,SV470: mworld,SV325: mworld] :
( ( ( ~ ( mrel @ SV325 @ SV470 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SV470 ) )
= $true )
| ( ( qmltpeq @ SV100 @ SV258 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) )
= $false )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(1553,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV471: mworld,SV326: mworld] :
( ( ( ~ ( mrel @ SV326 @ SV471 )
| ~ ! [SY2641: mworld] :
( ~ ( mrel @ SV471 @ SY2641 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2641 ) )
| ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) )
| ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(1554,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV472: mworld,SV326: mworld] :
( ( ( ~ ( mrel @ SV326 @ SV472 )
| ~ ( ! [SY2644: mworld] :
( ~ ( mrel @ SV472 @ SY2644 )
| ( member @ SV384 @ SV103 @ SY2644 ) )
| ! [SY2645: mworld] :
( ~ ( mrel @ SV472 @ SY2645 )
| ( member @ SV384 @ SV259 @ SY2645 ) ) )
| ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(1555,plain,
! [SV21: mworld,SV183: mworld,SV327: mworld,SV473: $i,SV385: $i,SV260: $i,SV104: $i,SV435: mworld] :
( ( ( ! [SY2647: mworld] :
( ~ ( mrel @ SV435 @ SY2647 )
| ~ ! [SY1737: mworld] :
( ~ ( mrel @ SY2647 @ SY1737 )
| ( qmltpeq @ SV104 @ SV260 @ SY1737 ) )
| ! [SY2649: mworld] :
( ~ ( mrel @ SY2647 @ SY2649 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SY2649 ) ) ) )
= $true )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(1556,plain,
! [SV23: mworld,SV185: mworld,SV261: $i,SV106: $i,SV386: mworld] :
( ( ( ! [SY2338: mworld] :
( ~ ( mrel @ SV386 @ SY2338 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2338 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1557,plain,
! [SV23: mworld,SV185: mworld,SV261: $i,SV106: $i,SV387: mworld] :
( ( ( ~ ( ~ ! [SY2341: mworld] :
( ~ ( mrel @ SV387 @ SY2341 )
| ( member @ SV106 @ universal_class @ SY2341 ) )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) ) )
= $false )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1558,plain,
! [SV24: mworld,SV186: mworld,SV328: mworld,SV388: $i,SV262: $i,SV107: $i,SV436: mworld] :
( ( ( ~ ! [SY2542: mworld] :
( ~ ( mrel @ SV436 @ SY2542 )
| ( qmltpeq @ SV107 @ SV262 @ SY2542 ) ) )
= $true )
| ( ( ! [SY2543: mworld] :
( ~ ( mrel @ SV436 @ SY2543 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SY2543 ) ) )
= $true )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1462]) ).
thf(1559,plain,
! [SV25: mworld,SV187: mworld,SV329: mworld,SV389: $i,SV263: $i,SV108: $i,SV437: mworld] :
( ( ( ~ ~ ( ~ ! [SY2544: mworld] :
( ~ ( mrel @ SV437 @ SY2544 )
| ( qmltpeq @ SV108 @ SV263 @ SY2544 ) )
| ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1463]) ).
thf(1560,plain,
! [SV26: mworld,SV188: mworld,SV109: $i,SV264: $i,SV390: mworld] :
( ( ( ! [SY2351: mworld] :
( ~ ( mrel @ SV390 @ SY2351 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2351 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1561,plain,
! [SV26: mworld,SV188: mworld,SV109: $i,SV264: $i,SV391: mworld] :
( ( ( ~ ( ~ ! [SY2355: mworld] :
( ~ ( mrel @ SV391 @ SY2355 )
| ( member @ SV264 @ universal_class @ SY2355 ) )
| ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) ) )
= $false )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1562,plain,
! [SV27: mworld,SV189: mworld,SV330: mworld,SV392: $i,SV265: $i,SV110: $i,SV438: mworld] :
( ( ( ~ ! [SY2547: mworld] :
( ~ ( mrel @ SV438 @ SY2547 )
| ( qmltpeq @ SV110 @ SV265 @ SY2547 ) ) )
= $true )
| ( ( ! [SY2548: mworld] :
( ~ ( mrel @ SV438 @ SY2548 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SY2548 ) ) )
= $true )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1466]) ).
thf(1563,plain,
! [SV28: mworld,SV190: mworld,SV331: mworld,SV393: $i,SV266: $i,SV111: $i,SV439: mworld] :
( ( ( ~ ! [SY2549: mworld] :
( ~ ( mrel @ SV439 @ SY2549 )
| ( qmltpeq @ SV111 @ SV266 @ SY2549 ) ) )
= $true )
| ( ( ! [SY2550: mworld] :
( ~ ( mrel @ SV439 @ SY2550 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SY2550 ) ) )
= $true )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1467]) ).
thf(1564,plain,
! [SV113: $i,SV268: $i,SV192: mworld,SV31: mworld,SV333: mworld] :
( ( ( mrel @ SV333 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) )
= $true )
| ( ( ! [SY2114: mworld] :
( ~ ( mrel @ SV333 @ SY2114 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SY2114 ) ) )
= $true )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1565,plain,
! [SV192: mworld,SV31: mworld,SV268: $i,SV113: $i,SV474: mworld,SV333: mworld] :
( ( ( ~ ( mrel @ SV333 @ SV474 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SV474 ) )
= $true )
| ( ( qmltpeq @ SV113 @ SV268 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) )
= $false )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(1566,plain,
! [SV32: mworld,SV193: mworld,SV334: mworld,SV394: $i,SV269: $i,SV114: $i,SV440: mworld] :
( ( ( ~ ~ ( ~ ! [SY2551: mworld] :
( ~ ( mrel @ SV440 @ SY2551 )
| ( qmltpeq @ SV114 @ SV269 @ SY2551 ) )
| ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1470]) ).
thf(1567,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV395: mworld] :
( ( ( ! [SY2369: mworld] :
( ~ ( mrel @ SV395 @ SY2369 )
| ( subclass @ SV115 @ SV270 @ SY2369 ) ) )
= $false )
| ( ( ! [SY2370: mworld] :
( ~ ( mrel @ SV395 @ SY2370 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY2370 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1568,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( ! [SY2375: mworld] :
( ~ ( mrel @ SV396 @ SY2375 )
| ! [SY1797: $i,SY1798: mworld] :
( ~ ( mrel @ SY2375 @ SY1798 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY1798 @ SY846 )
| ( member @ SY1797 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY1798 @ SY1800 )
| ( member @ SY1797 @ SV270 @ SY1800 ) ) ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1569,plain,
! [SV34: mworld,SV195: mworld,SV271: $i,SV116: $i,SV335: mworld] :
( ( ( ! [SY2120: mworld] :
( ~ ( mrel @ SV335 @ SY2120 )
| ( qmltpeq @ SV116 @ SV271 @ SY2120 ) ) )
= $false )
| ( ( ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1570,plain,
! [SV117: $i,SV272: $i,SV196: mworld,SV35: mworld,SV336: mworld] :
( ( ( mrel @ SV336 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) )
= $true )
| ( ( ! [SY2124: mworld] :
( ~ ( mrel @ SV336 @ SY2124 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SY2124 ) ) )
= $true )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1474]) ).
thf(1571,plain,
! [SV196: mworld,SV35: mworld,SV272: $i,SV117: $i,SV475: mworld,SV336: mworld] :
( ( ( ~ ( mrel @ SV336 @ SV475 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SV475 ) )
= $true )
| ( ( qmltpeq @ SV117 @ SV272 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) )
= $false )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(1572,plain,
! [SV36: mworld,SV197: mworld,SV337: mworld,SV397: $i,SV273: $i,SV118: $i,SV441: mworld] :
( ( ( ~ ! [SY2554: mworld] :
( ~ ( mrel @ SV441 @ SY2554 )
| ( qmltpeq @ SV118 @ SV273 @ SY2554 ) ) )
= $true )
| ( ( ! [SY2555: mworld] :
( ~ ( mrel @ SV441 @ SY2555 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SY2555 ) ) )
= $true )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1476]) ).
thf(1573,plain,
! [SV37: mworld,SV198: mworld,SV338: mworld,SV398: $i,SV274: $i,SV119: $i,SV442: mworld] :
( ( ( ~ ! [SY2556: mworld] :
( ~ ( mrel @ SV442 @ SY2556 )
| ( qmltpeq @ SV119 @ SV274 @ SY2556 ) ) )
= $true )
| ( ( ! [SY2557: mworld] :
( ~ ( mrel @ SV442 @ SY2557 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SY2557 ) ) )
= $true )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1477]) ).
thf(1574,plain,
! [SV39: mworld,SV200: mworld,SV339: mworld,SV400: $i,SV275: $i,SV121: $i,SV444: mworld] :
( ( ( ~ ~ ( ~ ! [SY2558: mworld] :
( ~ ( mrel @ SV444 @ SY2558 )
| ( qmltpeq @ SV121 @ SV275 @ SY2558 ) )
| ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1479]) ).
thf(1575,plain,
! [SV40: mworld,SV201: mworld,SV340: mworld,SV401: $i,SV276: $i,SV122: $i,SV445: mworld] :
( ( ( ~ ! [SY2561: mworld] :
( ~ ( mrel @ SV445 @ SY2561 )
| ( qmltpeq @ SV122 @ SV276 @ SY2561 ) ) )
= $true )
| ( ( ! [SY2562: mworld] :
( ~ ( mrel @ SV445 @ SY2562 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SY2562 ) ) )
= $true )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1480]) ).
thf(1576,plain,
! [SV41: mworld,SV202: mworld,SV341: mworld,SV402: $i,SV277: $i,SV123: $i,SV446: mworld] :
( ( ( ~ ! [SY2563: mworld] :
( ~ ( mrel @ SV446 @ SY2563 )
| ( qmltpeq @ SV123 @ SV277 @ SY2563 ) ) )
= $true )
| ( ( ! [SY2564: mworld] :
( ~ ( mrel @ SV446 @ SY2564 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SY2564 ) ) )
= $true )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1481]) ).
thf(1577,plain,
! [SV42: mworld,SV203: mworld,SV342: mworld,SV403: $i,SV278: $i,SV124: $i,SV447: mworld] :
( ( ( ~ ~ ( ~ ! [SY2565: mworld] :
( ~ ( mrel @ SV447 @ SY2565 )
| ( qmltpeq @ SV124 @ SV278 @ SY2565 ) )
| ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1482]) ).
thf(1578,plain,
! [SV44: mworld,SV205: mworld,SV343: mworld,SV405: $i,SV279: $i,SV126: $i,SV449: mworld] :
( ( ( ~ ! [SY2568: mworld] :
( ~ ( mrel @ SV449 @ SY2568 )
| ( qmltpeq @ SV126 @ SV279 @ SY2568 ) ) )
= $true )
| ( ( ! [SY2569: mworld] :
( ~ ( mrel @ SV449 @ SY2569 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SY2569 ) ) )
= $true )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1579,plain,
! [SV45: mworld,SV206: mworld,SV280: $i,SV127: $i,SV344: mworld] :
( ( ( ! [SY2155: mworld] :
( ~ ( mrel @ SV344 @ SY2155 )
| ( qmltpeq @ SV127 @ SV280 @ SY2155 ) ) )
= $false )
| ( ( ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1580,plain,
! [SV46: mworld,SV207: mworld,SV345: mworld,SV406: $i,SV281: $i,SV128: $i,SV450: mworld] :
( ( ( ~ ~ ( ~ ! [SY2570: mworld] :
( ~ ( mrel @ SV450 @ SY2570 )
| ( qmltpeq @ SV128 @ SV281 @ SY2570 ) )
| ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1486]) ).
thf(1581,plain,
! [SV370: $i,SV243: mworld,SV373: mworld] :
( ( ( ~ ( mrel @ SV373 @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
| ( member @ SV370 @ universal_class @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) ) )
= $false )
| ( ( ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) )
| ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1487]) ).
thf(1582,plain,
! [SV48: mworld,SV209: mworld,SV282: $i,SV130: $i,SV407: mworld] :
( ( ( ! [SY2408: mworld] :
( ~ ( mrel @ SV407 @ SY2408 )
| ( qmltpeq @ SV130 @ SV282 @ SY2408 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1583,plain,
! [SV48: mworld,SV209: mworld,SV282: $i,SV130: $i,SV408: mworld] :
( ( ( ~ ( ~ ! [SY2411: mworld] :
( ~ ( mrel @ SV408 @ SY2411 )
| ( subclass @ SV130 @ SV282 @ SY2411 ) )
| ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) ) )
= $false )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1584,plain,
! [SV132: $i,SV283: $i,SV211: mworld,SV50: mworld,SV346: mworld] :
( ( ( mrel @ SV346 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) )
= $true )
| ( ( ! [SY2164: mworld] :
( ~ ( mrel @ SV346 @ SY2164 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SY2164 ) ) )
= $true )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1490]) ).
thf(1585,plain,
! [SV211: mworld,SV50: mworld,SV283: $i,SV132: $i,SV476: mworld,SV346: mworld] :
( ( ( ~ ( mrel @ SV346 @ SV476 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SV476 ) )
= $true )
| ( ( qmltpeq @ SV132 @ SV283 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) )
= $false )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1586,plain,
! [SV133: $i,SV284: $i,SV212: mworld,SV51: mworld,SV347: mworld] :
( ( ( mrel @ SV347 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) )
= $true )
| ( ( ! [SY2166: mworld] :
( ~ ( mrel @ SV347 @ SY2166 )
| ( qmltpeq @ SV284 @ SV133 @ SY2166 ) ) )
= $true )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1587,plain,
! [SV212: mworld,SV51: mworld,SV133: $i,SV284: $i,SV477: mworld,SV347: mworld] :
( ( ( ~ ( mrel @ SV347 @ SV477 )
| ( qmltpeq @ SV284 @ SV133 @ SV477 ) )
= $true )
| ( ( qmltpeq @ SV133 @ SV284 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) )
= $false )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1588,plain,
! [SV451: $i,SV465: mworld,SV372: mworld] :
( ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( ~ ! [SY2630: mworld] :
( ~ ( mrel @ SV465 @ SY2630 )
| ( inductive @ SV451 @ SY2630 ) )
| ! [SY2631: mworld] :
( ~ ( mrel @ SV465 @ SY2631 )
| ( subclass @ sK3_SX0 @ SV451 @ SY2631 ) ) )
= $true )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1589,plain,
! [SV134: $i,SV285: $i,SV213: mworld,SV52: mworld,SV348: mworld] :
( ( ( mrel @ SV348 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) )
= $true )
| ( ( ! [SY2168: mworld] :
( ~ ( mrel @ SV348 @ SY2168 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SY2168 ) ) )
= $true )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1495]) ).
thf(1590,plain,
! [SV213: mworld,SV52: mworld,SV285: $i,SV134: $i,SV478: mworld,SV348: mworld] :
( ( ( ~ ( mrel @ SV348 @ SV478 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SV478 ) )
= $true )
| ( ( qmltpeq @ SV134 @ SV285 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) )
= $false )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1591,plain,
! [SV54: mworld,SV215: mworld,SV349: mworld,SV409: $i,SV286: $i,SV136: $i,SV452: mworld] :
( ( ( ~ ~ ( ~ ! [SY2576: mworld] :
( ~ ( mrel @ SV452 @ SY2576 )
| ( qmltpeq @ SV136 @ SV286 @ SY2576 ) )
| ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1497]) ).
thf(1592,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) )
| ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) )
= $false )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1593,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) ) )
= $false )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1594,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) )
= $false )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1595,plain,
! [SV137: $i,SV55: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) ) )
= $false )
| ( ( ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1500]) ).
thf(1596,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV410: mworld] :
( ( ( ! [SY2418: mworld] :
( ~ ( mrel @ SV410 @ SY2418 )
| ( disjoint @ SV138 @ SV289 @ SY2418 ) ) )
= $false )
| ( ( ! [SY2419: mworld] :
( ~ ( mrel @ SV410 @ SY2419 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY2419 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1597,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ! [SY2424: mworld] :
( ~ ( mrel @ SV411 @ SY2424 )
| ! [SY1894: $i,SY1895: mworld] :
( ~ ( mrel @ SY2424 @ SY1895 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY1895 @ SY990 )
| ( member @ SY1894 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY1895 @ SY1897 )
| ( member @ SY1894 @ SV289 @ SY1897 ) ) ) ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1502]) ).
thf(1598,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV412: mworld] :
( ( ( ! [SY2430: mworld] :
( ~ ( mrel @ SV412 @ SY2430 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2430 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1503]) ).
thf(1599,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV413: mworld] :
( ( ( ~ ( ~ ! [SY2434: mworld] :
( ~ ( mrel @ SV413 @ SY2434 )
| ( member @ SV139 @ universal_class @ SY2434 ) )
| ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1600,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld,SV350: mworld] :
( ( ( ~ ( mrel @ SV350 @ SV479 )
| ~ ! [SY2650: mworld] :
( ~ ( mrel @ SV479 @ SY2650 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2650 ) )
| ~ ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) ) )
= $true )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(1601,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV480: mworld,SV350: mworld] :
( ( ( ~ ( mrel @ SV350 @ SV480 )
| ~ ~ ( ~ ! [SY2654: mworld] :
( ~ ( mrel @ SV480 @ SY2654 )
| ( member @ SV140 @ universal_class @ SY2654 ) )
| ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) )
| ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1602,plain,
! [SV60: mworld,SV219: mworld,SV351: mworld,SV292: $i,SV141: $i,SV415: $i,SV453: mworld] :
( ( ( ~ ! [SY2579: mworld] :
( ~ ( mrel @ SV453 @ SY2579 )
| ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ SY2579 ) ) )
= $true )
| ( ( ! [SY2580: mworld] :
( ~ ( mrel @ SV453 @ SY2580 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SY2580 ) ) )
= $true )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1603,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) )
| ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) )
= $false )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1604,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) ) )
= $false )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1605,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) )
= $false )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1606,plain,
! [SV142: $i,SV61: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
| ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) ) )
= $false )
| ( ( ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1510]) ).
thf(1607,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV454: mworld] :
( ( ( ~ ( ~ ! [SY2658: mworld] :
( ~ ( mrel @ SV454 @ SY2658 )
| ~ ! [SY2659: mworld] :
( ~ ( mrel @ SY2658 @ SY2659 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2659 ) )
| ~ ( ~ ! [SY2660: mworld] :
( ~ ( mrel @ SY2658 @ SY2660 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2660 ) )
| ~ ! [SY2661: mworld] :
( ~ ( mrel @ SY2658 @ SY2661 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2661 ) ) ) )
| ~ ! [SY2662: mworld] :
( ~ ( mrel @ SV454 @ SY2662 )
| ~ ~ ( ~ ! [SY2663: mworld] :
( ~ ( mrel @ SY2662 @ SY2663 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2663 ) )
| ~ ! [SY2664: mworld] :
( ~ ( mrel @ SY2662 @ SY2664 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2664 ) ) )
| ! [SY2665: mworld] :
( ~ ( mrel @ SY2662 @ SY2665 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2665 ) ) ) ) )
= $true )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(1608,plain,
! [SV144: $i,SV296: $i,SV221: mworld,SV63: mworld,SV353: mworld] :
( ( ( mrel @ SV353 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) )
= $true )
| ( ( ! [SY2201: mworld] :
( ~ ( mrel @ SV353 @ SY2201 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SY2201 ) ) )
= $true )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1609,plain,
! [SV221: mworld,SV63: mworld,SV296: $i,SV144: $i,SV482: mworld,SV353: mworld] :
( ( ( ~ ( mrel @ SV353 @ SV482 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SV482 ) )
= $true )
| ( ( qmltpeq @ SV144 @ SV296 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) )
= $false )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1513]) ).
thf(1610,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV222 @ SY2632 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ universal_class @ SY2632 ) )
| ~ ~ ( ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV222 @ SY2633 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2633 ) )
| ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV222 @ SY2634 )
| ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2634 ) ) ) )
= $false )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1611,plain,
! [SV64: mworld,SV455: mworld,SV145: $i,SV222: mworld] :
( ( ( ! [SY1530: $i] :
~ ~ ( ~ ! [SY1531: mworld] :
( ~ ( mrel @ SV222 @ SY1531 )
| ( member @ SY1530 @ universal_class @ SY1531 ) )
| ~ ~ ( ~ ! [SY1532: mworld] :
( ~ ( mrel @ SV222 @ SY1532 )
| ( member @ SY1530 @ SV145 @ SY1532 ) )
| ~ ! [SY1533: mworld] :
( ~ ( mrel @ SV222 @ SY1533 )
| ( disjoint @ SY1530 @ SV145 @ SY1533 ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1515]) ).
thf(1612,plain,
! [SV65: mworld,SV223: mworld,SV297: $i,SV146: $i,SV417: mworld] :
( ( ( ! [SY2461: mworld] :
( ~ ( mrel @ SV417 @ SY2461 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2461 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1613,plain,
! [SV65: mworld,SV223: mworld,SV146: $i,SV297: $i,SV418: mworld] :
( ( ( ~ ( ~ ! [SY2464: mworld] :
( ~ ( mrel @ SV418 @ SY2464 )
| ( member @ SV297 @ universal_class @ SY2464 ) )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) ) )
= $false )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1614,plain,
! [SV66: mworld,SV224: mworld,SV354: mworld,SV419: $i,SV298: $i,SV147: $i,SV456: mworld] :
( ( ( ~ ! [SY2590: mworld] :
( ~ ( mrel @ SV456 @ SY2590 )
| ( qmltpeq @ SV147 @ SV298 @ SY2590 ) ) )
= $true )
| ( ( ! [SY2591: mworld] :
( ~ ( mrel @ SV456 @ SY2591 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SY2591 ) ) )
= $true )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1518]) ).
thf(1615,plain,
! [SV68: mworld,SV226: mworld,SV355: mworld,SV420: $i,SV299: $i,SV149: $i,SV457: mworld] :
( ( ( ~ ! [SY2592: mworld] :
( ~ ( mrel @ SV457 @ SY2592 )
| ( qmltpeq @ SV149 @ SV299 @ SY2592 ) ) )
= $true )
| ( ( ! [SY2593: mworld] :
( ~ ( mrel @ SV457 @ SY2593 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SY2593 ) ) )
= $true )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1616,plain,
! [SV69: mworld,SV227: mworld,SV356: mworld,SV421: $i,SV300: $i,SV150: $i,SV458: mworld] :
( ( ( ~ ! [SY2594: mworld] :
( ~ ( mrel @ SV458 @ SY2594 )
| ( qmltpeq @ SV150 @ SV300 @ SY2594 ) ) )
= $true )
| ( ( ! [SY2595: mworld] :
( ~ ( mrel @ SV458 @ SY2595 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SY2595 ) ) )
= $true )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1520]) ).
thf(1617,plain,
! [SV70: mworld,SV228: mworld,SV357: mworld,SV422: $i,SV301: $i,SV151: $i,SV459: mworld] :
( ( ( ~ ! [SY2596: mworld] :
( ~ ( mrel @ SV459 @ SY2596 )
| ( qmltpeq @ SV151 @ SV301 @ SY2596 ) ) )
= $true )
| ( ( ! [SY2597: mworld] :
( ~ ( mrel @ SV459 @ SY2597 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SY2597 ) ) )
= $true )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1521]) ).
thf(1618,plain,
! [SV71: mworld,SV229: mworld,SV358: mworld,SV423: $i,SV302: $i,SV152: $i,SV460: mworld] :
( ( ( ~ ~ ( ~ ! [SY2598: mworld] :
( ~ ( mrel @ SV460 @ SY2598 )
| ( qmltpeq @ SV152 @ SV302 @ SY2598 ) )
| ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1522]) ).
thf(1619,plain,
! [SV74: mworld,SV232: mworld,SV360: mworld,SV424: $i,SV304: $i,SV155: $i,SV461: mworld] :
( ( ( ~ ! [SY2601: mworld] :
( ~ ( mrel @ SV461 @ SY2601 )
| ( qmltpeq @ SV155 @ SV304 @ SY2601 ) ) )
= $true )
| ( ( ! [SY2602: mworld] :
( ~ ( mrel @ SV461 @ SY2602 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SY2602 ) ) )
= $true )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1523]) ).
thf(1620,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV462: mworld] :
( ( ( ~ ( ~ ! [SY2666: mworld] :
( ~ ( mrel @ SV462 @ SY2666 )
| ~ ! [SY2667: mworld] :
( ~ ( mrel @ SY2666 @ SY2667 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2667 ) )
| ~ ( ~ ! [SY2490: mworld] :
( ~ ( mrel @ SY2666 @ SY2490 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2490 ) )
| ~ ! [SY2669: mworld] :
( ~ ( mrel @ SY2666 @ SY2669 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2669 ) ) ) )
| ~ ! [SY2670: mworld] :
( ~ ( mrel @ SV462 @ SY2670 )
| ~ ~ ( ~ ! [SY2493: mworld] :
( ~ ( mrel @ SY2670 @ SY2493 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2493 ) )
| ~ ! [SY2672: mworld] :
( ~ ( mrel @ SY2670 @ SY2672 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2672 ) ) )
| ! [SY2673: mworld] :
( ~ ( mrel @ SY2670 @ SY2673 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2673 ) ) ) ) )
= $true )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1524]) ).
thf(1621,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV463: mworld] :
( ( ( ~ ( ~ ! [SY2674: mworld] :
( ~ ( mrel @ SV463 @ SY2674 )
| ~ ! [SY2675: mworld] :
( ~ ( mrel @ SY2674 @ SY2675 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2675 ) )
| ~ ( ~ ! [SY2500: mworld] :
( ~ ( mrel @ SY2674 @ SY2500 )
| ( member @ SV426 @ universal_class @ SY2500 ) )
| ~ ! [SY2677: mworld] :
( ~ ( mrel @ SY2674 @ SY2677 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2677 ) ) ) )
| ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV463 @ SY2678 )
| ~ ~ ( ~ ! [SY2503: mworld] :
( ~ ( mrel @ SY2678 @ SY2503 )
| ( member @ SV426 @ universal_class @ SY2503 ) )
| ~ ! [SY2680: mworld] :
( ~ ( mrel @ SY2678 @ SY2680 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2680 ) ) )
| ! [SY2681: mworld] :
( ~ ( mrel @ SY2678 @ SY2681 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2681 ) ) ) ) )
= $true )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1525]) ).
thf(1622,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV464: mworld] :
( ( ( ~ ( ~ ! [SY2682: mworld] :
( ~ ( mrel @ SV464 @ SY2682 )
| ~ ! [SY2683: mworld] :
( ~ ( mrel @ SY2682 @ SY2683 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2683 ) )
| ~ ( ~ ! [SY2510: mworld] :
( ~ ( mrel @ SY2682 @ SY2510 )
| ( member @ SV159 @ SV427 @ SY2510 ) )
| ~ ! [SY2685: mworld] :
( ~ ( mrel @ SY2682 @ SY2685 )
| ( member @ SV308 @ SV485 @ SY2685 ) ) ) )
| ~ ! [SY2686: mworld] :
( ~ ( mrel @ SV464 @ SY2686 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2686 @ SY2513 )
| ( member @ SV159 @ SV427 @ SY2513 ) )
| ~ ! [SY2688: mworld] :
( ~ ( mrel @ SY2686 @ SY2688 )
| ( member @ SV308 @ SV485 @ SY2688 ) ) )
| ! [SY2689: mworld] :
( ~ ( mrel @ SY2686 @ SY2689 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2689 ) ) ) ) )
= $true )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1623,plain,
! [SV160: $i,SV309: $i,SV237: mworld,SV79: mworld,SV365: mworld] :
( ( ( mrel @ SV365 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) )
= $true )
| ( ( ! [SY2261: mworld] :
( ~ ( mrel @ SV365 @ SY2261 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SY2261 ) ) )
= $true )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1527]) ).
thf(1624,plain,
! [SV237: mworld,SV79: mworld,SV309: $i,SV160: $i,SV486: mworld,SV365: mworld] :
( ( ( ~ ( mrel @ SV365 @ SV486 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SV486 ) )
= $true )
| ( ( qmltpeq @ SV160 @ SV309 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) )
= $false )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1528]) ).
thf(1625,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV487: mworld,SV366: mworld] :
( ( ( ~ ( mrel @ SV366 @ SV487 )
| ~ ! [SY2690: mworld] :
( ~ ( mrel @ SV487 @ SY2690 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2690 ) )
| ~ ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) ) )
= $true )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1529]) ).
thf(1626,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV488: mworld,SV366: mworld] :
( ( ( ~ ( mrel @ SV366 @ SV488 )
| ~ ~ ( ~ ! [SY2693: mworld] :
( ~ ( mrel @ SV488 @ SY2693 )
| ( member @ SV428 @ SV161 @ SY2693 ) )
| ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
| ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(1627,plain,
! [SV162: $i,SV311: $i,SV239: mworld,SV81: mworld,SV367: mworld] :
( ( ( mrel @ SV367 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) )
= $true )
| ( ( ! [SY2272: mworld] :
( ~ ( mrel @ SV367 @ SY2272 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SY2272 ) ) )
= $true )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1628,plain,
! [SV239: mworld,SV81: mworld,SV311: $i,SV162: $i,SV489: mworld,SV367: mworld] :
( ( ( ~ ( mrel @ SV367 @ SV489 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SV489 ) )
= $true )
| ( ( qmltpeq @ SV162 @ SV311 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) )
= $false )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1532]) ).
thf(1629,plain,
! [SV163: $i,SV312: $i,SV240: mworld,SV82: mworld,SV368: mworld] :
( ( ( mrel @ SV368 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) )
= $true )
| ( ( ! [SY2274: mworld] :
( ~ ( mrel @ SV368 @ SY2274 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SY2274 ) ) )
= $true )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1533]) ).
thf(1630,plain,
! [SV240: mworld,SV82: mworld,SV312: $i,SV163: $i,SV490: mworld,SV368: mworld] :
( ( ( ~ ( mrel @ SV368 @ SV490 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SV490 ) )
= $true )
| ( ( qmltpeq @ SV163 @ SV312 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) )
= $false )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1534]) ).
thf(1631,plain,
! [SV164: $i,SV313: $i,SV241: mworld,SV83: mworld,SV369: mworld] :
( ( ( mrel @ SV369 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) )
= $true )
| ( ( ! [SY2276: mworld] :
( ~ ( mrel @ SV369 @ SY2276 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SY2276 ) ) )
= $true )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1632,plain,
! [SV241: mworld,SV83: mworld,SV313: $i,SV164: $i,SV491: mworld,SV369: mworld] :
( ( ( ~ ( mrel @ SV369 @ SV491 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SV491 ) )
= $true )
| ( ( qmltpeq @ SV164 @ SV313 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) )
= $false )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1633,plain,
! [SV3: mworld,SV165: mworld,SV314: mworld,SV466: $i,SV374: $i,SV245: $i,SV86: $i,SV492: mworld,SV429: mworld] :
( ( ( ~ ( mrel @ SV429 @ SV492 )
| ~ ! [SY2696: mworld] :
( ~ ( mrel @ SV492 @ SY2696 )
| ( qmltpeq @ SV86 @ SV245 @ SY2696 ) )
| ! [SY2697: mworld] :
( ~ ( mrel @ SV492 @ SY2697 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SY2697 ) ) )
= $true )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(1634,plain,
! [SV246: $i,SV87: $i,SV166: mworld,SV4: mworld,SV375: mworld] :
( ( ( ~ ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1538]) ).
thf(1635,plain,
! [SV4: mworld,SV166: mworld,SV87: $i,SV246: $i,SV376: mworld] :
( ( ( ~ ! [SY2298: mworld] :
( ~ ( mrel @ SV376 @ SY2298 )
| ( member @ SV246 @ universal_class @ SY2298 ) )
| ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1539]) ).
thf(1636,plain,
! [SV5: mworld,SV167: mworld,SV315: mworld,SV377: $i,SV247: $i,SV88: $i,SV430: mworld] :
( ( ( ! [SY2528: mworld] :
( ~ ( mrel @ SV430 @ SY2528 )
| ( qmltpeq @ SV88 @ SV247 @ SY2528 ) ) )
= $false )
| ( ( ! [SY2529: mworld] :
( ~ ( mrel @ SV430 @ SY2529 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SY2529 ) ) )
= $true )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1637,plain,
! [SV6: mworld,SV168: mworld,SV316: mworld,SV467: $i,SV378: $i,SV248: $i,SV89: $i,SV493: mworld,SV431: mworld] :
( ( ( ~ ( mrel @ SV431 @ SV493 )
| ~ ! [SY2698: mworld] :
( ~ ( mrel @ SV493 @ SY2698 )
| ( qmltpeq @ SV89 @ SV248 @ SY2698 ) )
| ! [SY2699: mworld] :
( ~ ( mrel @ SV493 @ SY2699 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SY2699 ) ) )
= $true )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(1638,plain,
! [SV7: mworld,SV169: mworld,SV317: mworld,SV379: $i,SV249: $i,SV90: $i,SV432: mworld] :
( ( ( ! [SY2534: mworld] :
( ~ ( mrel @ SV432 @ SY2534 )
| ( qmltpeq @ SV90 @ SV249 @ SY2534 ) ) )
= $false )
| ( ( ! [SY2535: mworld] :
( ~ ( mrel @ SV432 @ SY2535 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SY2535 ) ) )
= $true )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1639,plain,
! [SV91: $i,SV250: $i,SV170: mworld,SV8: mworld,SV380: mworld] :
( ( ( ~ ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) ) )
= $false )
| ( ( ~ ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1543]) ).
thf(1640,plain,
! [SV8: mworld,SV170: mworld,SV250: $i,SV91: $i,SV381: mworld] :
( ( ( ! [SY2317: $i] :
~ ~ ( ~ ! [SY2318: mworld] :
( ~ ( mrel @ SV381 @ SY2318 )
| ( member @ SV91 @ SY2317 @ SY2318 ) )
| ~ ! [SY2319: mworld] :
( ~ ( mrel @ SV381 @ SY2319 )
| ( member @ SY2317 @ SV250 @ SY2319 ) ) ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1544]) ).
thf(1641,plain,
! [SV171: mworld,SV9: mworld,SV251: $i,SV92: $i,SV494: mworld,SV318: mworld] :
( ( ( ~ ( mrel @ SV318 @ SV494 )
| ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SV494 ) )
= $true )
| ( ( mrel @ SV318 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) )
= $true )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1545]) ).
thf(1642,plain,
! [SV171: mworld,SV9: mworld,SV251: $i,SV92: $i,SV468: mworld,SV318: mworld] :
( ( ( ~ ( mrel @ SV318 @ SV468 ) )
= $true )
| ( ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SV468 )
= $true )
| ( ( qmltpeq @ SV92 @ SV251 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) )
= $false )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1546]) ).
thf(1643,plain,
! [SV13: mworld,SV175: mworld,SV321: mworld,SV383: $i,SV254: $i,SV96: $i,SV434: mworld] :
( ( ( ! [SY2536: mworld] :
( ~ ( mrel @ SV434 @ SY2536 )
| ( qmltpeq @ SV96 @ SV254 @ SY2536 ) ) )
= $false )
| ( ( ! [SY2537: mworld] :
( ~ ( mrel @ SV434 @ SY2537 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SY2537 ) ) )
= $true )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1644,plain,
! [SV176: mworld,SV14: mworld,SV255: $i,SV97: $i,SV495: mworld,SV322: mworld] :
( ( ( ~ ( mrel @ SV322 @ SV495 )
| ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SV495 ) )
= $true )
| ( ( mrel @ SV322 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) )
= $true )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1548]) ).
thf(1645,plain,
! [SV176: mworld,SV14: mworld,SV255: $i,SV97: $i,SV469: mworld,SV322: mworld] :
( ( ( ~ ( mrel @ SV322 @ SV469 ) )
= $true )
| ( ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SV469 )
= $true )
| ( ( qmltpeq @ SV97 @ SV255 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) )
= $false )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1549]) ).
thf(1646,plain,
! [SV98: $i,SV256: $i,SV177: mworld,SV15: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
| ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) ) )
= $false )
| ( ( ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1550]) ).
thf(1647,plain,
! [SV179: mworld,SV17: mworld,SV258: $i,SV100: $i,SV496: mworld,SV325: mworld] :
( ( ( ~ ( mrel @ SV325 @ SV496 )
| ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SV496 ) )
= $true )
| ( ( mrel @ SV325 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) )
= $true )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1648,plain,
! [SV179: mworld,SV17: mworld,SV258: $i,SV100: $i,SV470: mworld,SV325: mworld] :
( ( ( ~ ( mrel @ SV325 @ SV470 ) )
= $true )
| ( ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SV470 )
= $true )
| ( ( qmltpeq @ SV100 @ SV258 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) )
= $false )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1649,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV471: mworld,SV326: mworld] :
( ( ( ~ ( mrel @ SV326 @ SV471 ) )
= $true )
| ( ( ~ ! [SY2641: mworld] :
( ~ ( mrel @ SV471 @ SY2641 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2641 ) )
| ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) )
| ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1553]) ).
thf(1650,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV472: mworld,SV326: mworld] :
( ( ( ~ ( mrel @ SV326 @ SV472 ) )
= $true )
| ( ( ~ ( ! [SY2644: mworld] :
( ~ ( mrel @ SV472 @ SY2644 )
| ( member @ SV384 @ SV103 @ SY2644 ) )
| ! [SY2645: mworld] :
( ~ ( mrel @ SV472 @ SY2645 )
| ( member @ SV384 @ SV259 @ SY2645 ) ) )
| ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1554]) ).
thf(1651,plain,
! [SV21: mworld,SV183: mworld,SV327: mworld,SV473: $i,SV385: $i,SV260: $i,SV104: $i,SV497: mworld,SV435: mworld] :
( ( ( ~ ( mrel @ SV435 @ SV497 )
| ~ ! [SY2700: mworld] :
( ~ ( mrel @ SV497 @ SY2700 )
| ( qmltpeq @ SV104 @ SV260 @ SY2700 ) )
| ! [SY2701: mworld] :
( ~ ( mrel @ SV497 @ SY2701 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SY2701 ) ) )
= $true )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(1652,plain,
! [SV106: $i,SV261: $i,SV185: mworld,SV23: mworld,SV386: mworld] :
( ( ( ~ ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
| ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1556]) ).
thf(1653,plain,
! [SV23: mworld,SV185: mworld,SV261: $i,SV106: $i,SV387: mworld] :
( ( ( ~ ! [SY2341: mworld] :
( ~ ( mrel @ SV387 @ SY2341 )
| ( member @ SV106 @ universal_class @ SY2341 ) )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1654,plain,
! [SV24: mworld,SV186: mworld,SV328: mworld,SV388: $i,SV262: $i,SV107: $i,SV436: mworld] :
( ( ( ! [SY2542: mworld] :
( ~ ( mrel @ SV436 @ SY2542 )
| ( qmltpeq @ SV107 @ SV262 @ SY2542 ) ) )
= $false )
| ( ( ! [SY2543: mworld] :
( ~ ( mrel @ SV436 @ SY2543 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SY2543 ) ) )
= $true )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1655,plain,
! [SV25: mworld,SV187: mworld,SV329: mworld,SV389: $i,SV263: $i,SV108: $i,SV437: mworld] :
( ( ( ~ ( ~ ! [SY2544: mworld] :
( ~ ( mrel @ SV437 @ SY2544 )
| ( qmltpeq @ SV108 @ SV263 @ SY2544 ) )
| ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) ) )
= $false )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1656,plain,
! [SV264: $i,SV109: $i,SV188: mworld,SV26: mworld,SV390: mworld] :
( ( ( ~ ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
| ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1560]) ).
thf(1657,plain,
! [SV26: mworld,SV188: mworld,SV109: $i,SV264: $i,SV391: mworld] :
( ( ( ~ ! [SY2355: mworld] :
( ~ ( mrel @ SV391 @ SY2355 )
| ( member @ SV264 @ universal_class @ SY2355 ) )
| ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1658,plain,
! [SV27: mworld,SV189: mworld,SV330: mworld,SV392: $i,SV265: $i,SV110: $i,SV438: mworld] :
( ( ( ! [SY2547: mworld] :
( ~ ( mrel @ SV438 @ SY2547 )
| ( qmltpeq @ SV110 @ SV265 @ SY2547 ) ) )
= $false )
| ( ( ! [SY2548: mworld] :
( ~ ( mrel @ SV438 @ SY2548 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SY2548 ) ) )
= $true )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1659,plain,
! [SV28: mworld,SV190: mworld,SV331: mworld,SV393: $i,SV266: $i,SV111: $i,SV439: mworld] :
( ( ( ! [SY2549: mworld] :
( ~ ( mrel @ SV439 @ SY2549 )
| ( qmltpeq @ SV111 @ SV266 @ SY2549 ) ) )
= $false )
| ( ( ! [SY2550: mworld] :
( ~ ( mrel @ SV439 @ SY2550 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SY2550 ) ) )
= $true )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1660,plain,
! [SV192: mworld,SV31: mworld,SV268: $i,SV113: $i,SV498: mworld,SV333: mworld] :
( ( ( ~ ( mrel @ SV333 @ SV498 )
| ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SV498 ) )
= $true )
| ( ( mrel @ SV333 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) )
= $true )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1564]) ).
thf(1661,plain,
! [SV192: mworld,SV31: mworld,SV268: $i,SV113: $i,SV474: mworld,SV333: mworld] :
( ( ( ~ ( mrel @ SV333 @ SV474 ) )
= $true )
| ( ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SV474 )
= $true )
| ( ( qmltpeq @ SV113 @ SV268 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) )
= $false )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1565]) ).
thf(1662,plain,
! [SV32: mworld,SV193: mworld,SV334: mworld,SV394: $i,SV269: $i,SV114: $i,SV440: mworld] :
( ( ( ~ ( ~ ! [SY2551: mworld] :
( ~ ( mrel @ SV440 @ SY2551 )
| ( qmltpeq @ SV114 @ SV269 @ SY2551 ) )
| ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) ) )
= $false )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1663,plain,
! [SV115: $i,SV270: $i,SV194: mworld,SV33: mworld,SV395: mworld] :
( ( ( ~ ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
| ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) ) )
= $false )
| ( ( ! [SY2370: mworld] :
( ~ ( mrel @ SV395 @ SY2370 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY2370 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1567]) ).
thf(1664,plain,
! [SV115: $i,SV270: $i,SV194: mworld,SV33: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
| ! [SY2702: $i,SY2703: mworld] :
( ~ ( mrel @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) @ SY2703 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY2703 @ SY846 )
| ( member @ SY2702 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY2703 @ SY1800 )
| ( member @ SY2702 @ SV270 @ SY1800 ) ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1568]) ).
thf(1665,plain,
! [SV116: $i,SV271: $i,SV195: mworld,SV34: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
| ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) ) )
= $false )
| ( ( ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1569]) ).
thf(1666,plain,
! [SV196: mworld,SV35: mworld,SV272: $i,SV117: $i,SV499: mworld,SV336: mworld] :
( ( ( ~ ( mrel @ SV336 @ SV499 )
| ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SV499 ) )
= $true )
| ( ( mrel @ SV336 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) )
= $true )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1570]) ).
thf(1667,plain,
! [SV196: mworld,SV35: mworld,SV272: $i,SV117: $i,SV475: mworld,SV336: mworld] :
( ( ( ~ ( mrel @ SV336 @ SV475 ) )
= $true )
| ( ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SV475 )
= $true )
| ( ( qmltpeq @ SV117 @ SV272 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) )
= $false )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1571]) ).
thf(1668,plain,
! [SV36: mworld,SV197: mworld,SV337: mworld,SV397: $i,SV273: $i,SV118: $i,SV441: mworld] :
( ( ( ! [SY2554: mworld] :
( ~ ( mrel @ SV441 @ SY2554 )
| ( qmltpeq @ SV118 @ SV273 @ SY2554 ) ) )
= $false )
| ( ( ! [SY2555: mworld] :
( ~ ( mrel @ SV441 @ SY2555 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SY2555 ) ) )
= $true )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1572]) ).
thf(1669,plain,
! [SV37: mworld,SV198: mworld,SV338: mworld,SV398: $i,SV274: $i,SV119: $i,SV442: mworld] :
( ( ( ! [SY2556: mworld] :
( ~ ( mrel @ SV442 @ SY2556 )
| ( qmltpeq @ SV119 @ SV274 @ SY2556 ) ) )
= $false )
| ( ( ! [SY2557: mworld] :
( ~ ( mrel @ SV442 @ SY2557 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SY2557 ) ) )
= $true )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1670,plain,
! [SV39: mworld,SV200: mworld,SV339: mworld,SV400: $i,SV275: $i,SV121: $i,SV444: mworld] :
( ( ( ~ ( ~ ! [SY2558: mworld] :
( ~ ( mrel @ SV444 @ SY2558 )
| ( qmltpeq @ SV121 @ SV275 @ SY2558 ) )
| ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) ) )
= $false )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1671,plain,
! [SV40: mworld,SV201: mworld,SV340: mworld,SV401: $i,SV276: $i,SV122: $i,SV445: mworld] :
( ( ( ! [SY2561: mworld] :
( ~ ( mrel @ SV445 @ SY2561 )
| ( qmltpeq @ SV122 @ SV276 @ SY2561 ) ) )
= $false )
| ( ( ! [SY2562: mworld] :
( ~ ( mrel @ SV445 @ SY2562 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SY2562 ) ) )
= $true )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1575]) ).
thf(1672,plain,
! [SV41: mworld,SV202: mworld,SV341: mworld,SV402: $i,SV277: $i,SV123: $i,SV446: mworld] :
( ( ( ! [SY2563: mworld] :
( ~ ( mrel @ SV446 @ SY2563 )
| ( qmltpeq @ SV123 @ SV277 @ SY2563 ) ) )
= $false )
| ( ( ! [SY2564: mworld] :
( ~ ( mrel @ SV446 @ SY2564 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SY2564 ) ) )
= $true )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1673,plain,
! [SV42: mworld,SV203: mworld,SV342: mworld,SV403: $i,SV278: $i,SV124: $i,SV447: mworld] :
( ( ( ~ ( ~ ! [SY2565: mworld] :
( ~ ( mrel @ SV447 @ SY2565 )
| ( qmltpeq @ SV124 @ SV278 @ SY2565 ) )
| ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) ) )
= $false )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1577]) ).
thf(1674,plain,
! [SV44: mworld,SV205: mworld,SV343: mworld,SV405: $i,SV279: $i,SV126: $i,SV449: mworld] :
( ( ( ! [SY2568: mworld] :
( ~ ( mrel @ SV449 @ SY2568 )
| ( qmltpeq @ SV126 @ SV279 @ SY2568 ) ) )
= $false )
| ( ( ! [SY2569: mworld] :
( ~ ( mrel @ SV449 @ SY2569 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SY2569 ) ) )
= $true )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1675,plain,
! [SV127: $i,SV280: $i,SV206: mworld,SV45: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
| ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) ) )
= $false )
| ( ( ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1579]) ).
thf(1676,plain,
! [SV46: mworld,SV207: mworld,SV345: mworld,SV406: $i,SV281: $i,SV128: $i,SV450: mworld] :
( ( ( ~ ( ~ ! [SY2570: mworld] :
( ~ ( mrel @ SV450 @ SY2570 )
| ( qmltpeq @ SV128 @ SV281 @ SY2570 ) )
| ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) ) )
= $false )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1580]) ).
thf(1677,plain,
! [SV370: $i,SV243: mworld,SV373: mworld] :
( ( ( ~ ( mrel @ SV373 @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) ) )
= $false )
| ( ( ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) )
| ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1678,plain,
! [SV373: mworld,SV243: mworld,SV370: $i] :
( ( ( member @ SV370 @ universal_class @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $false )
| ( ( ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) )
| ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1679,plain,
! [SV130: $i,SV282: $i,SV209: mworld,SV48: mworld,SV407: mworld] :
( ( ( ~ ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
| ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1582]) ).
thf(1680,plain,
! [SV48: mworld,SV209: mworld,SV282: $i,SV130: $i,SV408: mworld] :
( ( ( ~ ! [SY2411: mworld] :
( ~ ( mrel @ SV408 @ SY2411 )
| ( subclass @ SV130 @ SV282 @ SY2411 ) )
| ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1583]) ).
thf(1681,plain,
! [SV211: mworld,SV50: mworld,SV283: $i,SV132: $i,SV500: mworld,SV346: mworld] :
( ( ( ~ ( mrel @ SV346 @ SV500 )
| ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SV500 ) )
= $true )
| ( ( mrel @ SV346 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) )
= $true )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1584]) ).
thf(1682,plain,
! [SV211: mworld,SV50: mworld,SV283: $i,SV132: $i,SV476: mworld,SV346: mworld] :
( ( ( ~ ( mrel @ SV346 @ SV476 ) )
= $true )
| ( ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SV476 )
= $true )
| ( ( qmltpeq @ SV132 @ SV283 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) )
= $false )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1585]) ).
thf(1683,plain,
! [SV212: mworld,SV51: mworld,SV133: $i,SV284: $i,SV501: mworld,SV347: mworld] :
( ( ( ~ ( mrel @ SV347 @ SV501 )
| ( qmltpeq @ SV284 @ SV133 @ SV501 ) )
= $true )
| ( ( mrel @ SV347 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) )
= $true )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1586]) ).
thf(1684,plain,
! [SV212: mworld,SV51: mworld,SV133: $i,SV284: $i,SV477: mworld,SV347: mworld] :
( ( ( ~ ( mrel @ SV347 @ SV477 ) )
= $true )
| ( ( qmltpeq @ SV284 @ SV133 @ SV477 )
= $true )
| ( ( qmltpeq @ SV133 @ SV284 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) )
= $false )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1587]) ).
thf(1685,plain,
! [SV372: mworld,SV451: $i,SV465: mworld] :
( ( ( ~ ! [SY2630: mworld] :
( ~ ( mrel @ SV465 @ SY2630 )
| ( inductive @ SV451 @ SY2630 ) ) )
= $true )
| ( ( ! [SY2631: mworld] :
( ~ ( mrel @ SV465 @ SY2631 )
| ( subclass @ sK3_SX0 @ SV451 @ SY2631 ) ) )
= $true )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1588]) ).
thf(1686,plain,
! [SV213: mworld,SV52: mworld,SV285: $i,SV134: $i,SV502: mworld,SV348: mworld] :
( ( ( ~ ( mrel @ SV348 @ SV502 )
| ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SV502 ) )
= $true )
| ( ( mrel @ SV348 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) )
= $true )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(1687,plain,
! [SV213: mworld,SV52: mworld,SV285: $i,SV134: $i,SV478: mworld,SV348: mworld] :
( ( ( ~ ( mrel @ SV348 @ SV478 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SV478 )
= $true )
| ( ( qmltpeq @ SV134 @ SV285 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) )
= $false )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1590]) ).
thf(1688,plain,
! [SV54: mworld,SV215: mworld,SV349: mworld,SV409: $i,SV286: $i,SV136: $i,SV452: mworld] :
( ( ( ~ ( ~ ! [SY2576: mworld] :
( ~ ( mrel @ SV452 @ SY2576 )
| ( qmltpeq @ SV136 @ SV286 @ SY2576 ) )
| ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) ) )
= $false )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1689,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ~ ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) ) )
= $false )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1592]) ).
thf(1690,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ~ ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) )
= $false )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1592]) ).
thf(1691,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) ) )
= $true )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1692,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) )
= $true )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1594]) ).
thf(1693,plain,
! [SV137: $i,SV55: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) ) )
= $false )
| ( ( ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1694,plain,
! [SV288: mworld,SV55: mworld,SV137: $i] :
( ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1695,plain,
! [SV138: $i,SV289: $i,SV216: mworld,SV56: mworld,SV410: mworld] :
( ( ( ~ ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
| ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) ) )
= $false )
| ( ( ! [SY2419: mworld] :
( ~ ( mrel @ SV410 @ SY2419 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY2419 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1596]) ).
thf(1696,plain,
! [SV138: $i,SV289: $i,SV216: mworld,SV56: mworld,SV411: mworld] :
( ( ( ~ ( mrel @ SV411 @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) )
| ! [SY2706: $i,SY2707: mworld] :
( ~ ( mrel @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) @ SY2707 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY2707 @ SY990 )
| ( member @ SY2706 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY2707 @ SY1897 )
| ( member @ SY2706 @ SV289 @ SY1897 ) ) ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1597]) ).
thf(1697,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1598]) ).
thf(1698,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV413: mworld] :
( ( ( ~ ! [SY2434: mworld] :
( ~ ( mrel @ SV413 @ SY2434 )
| ( member @ SV139 @ universal_class @ SY2434 ) )
| ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1699,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld,SV350: mworld] :
( ( ( ~ ( mrel @ SV350 @ SV479 ) )
= $true )
| ( ( ~ ! [SY2650: mworld] :
( ~ ( mrel @ SV479 @ SY2650 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2650 ) )
| ~ ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) ) )
= $true )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1600]) ).
thf(1700,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV480: mworld,SV350: mworld] :
( ( ( ~ ( mrel @ SV350 @ SV480 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2654: mworld] :
( ~ ( mrel @ SV480 @ SY2654 )
| ( member @ SV140 @ universal_class @ SY2654 ) )
| ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) )
| ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1601]) ).
thf(1701,plain,
! [SV60: mworld,SV219: mworld,SV351: mworld,SV292: $i,SV141: $i,SV415: $i,SV453: mworld] :
( ( ( ! [SY2579: mworld] :
( ~ ( mrel @ SV453 @ SY2579 )
| ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ SY2579 ) ) )
= $false )
| ( ( ! [SY2580: mworld] :
( ~ ( mrel @ SV453 @ SY2580 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SY2580 ) ) )
= $true )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1602]) ).
thf(1702,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ~ ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) ) )
= $false )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1603]) ).
thf(1703,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ~ ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) )
= $false )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1603]) ).
thf(1704,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) ) )
= $true )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1604]) ).
thf(1705,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) )
= $true )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1605]) ).
thf(1706,plain,
! [SV142: $i,SV61: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) ) )
= $false )
| ( ( ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1707,plain,
! [SV294: mworld,SV61: mworld,SV142: $i] :
( ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1708,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV454: mworld] :
( ( ( ~ ! [SY2658: mworld] :
( ~ ( mrel @ SV454 @ SY2658 )
| ~ ! [SY2659: mworld] :
( ~ ( mrel @ SY2658 @ SY2659 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2659 ) )
| ~ ( ~ ! [SY2660: mworld] :
( ~ ( mrel @ SY2658 @ SY2660 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2660 ) )
| ~ ! [SY2661: mworld] :
( ~ ( mrel @ SY2658 @ SY2661 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2661 ) ) ) )
| ~ ! [SY2662: mworld] :
( ~ ( mrel @ SV454 @ SY2662 )
| ~ ~ ( ~ ! [SY2663: mworld] :
( ~ ( mrel @ SY2662 @ SY2663 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2663 ) )
| ~ ! [SY2664: mworld] :
( ~ ( mrel @ SY2662 @ SY2664 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2664 ) ) )
| ! [SY2665: mworld] :
( ~ ( mrel @ SY2662 @ SY2665 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2665 ) ) ) )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1709,plain,
! [SV221: mworld,SV63: mworld,SV296: $i,SV144: $i,SV503: mworld,SV353: mworld] :
( ( ( ~ ( mrel @ SV353 @ SV503 )
| ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SV503 ) )
= $true )
| ( ( mrel @ SV353 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) )
= $true )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(1710,plain,
! [SV221: mworld,SV63: mworld,SV296: $i,SV144: $i,SV482: mworld,SV353: mworld] :
( ( ( ~ ( mrel @ SV353 @ SV482 ) )
= $true )
| ( ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SV482 )
= $true )
| ( ( qmltpeq @ SV144 @ SV296 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) )
= $false )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1609]) ).
thf(1711,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV222 @ SY2632 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ universal_class @ SY2632 ) ) )
= $false )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1712,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ~ ( ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV222 @ SY2633 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2633 ) )
| ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV222 @ SY2634 )
| ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2634 ) ) ) )
= $false )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1713,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ~ ~ ( ~ ! [SY2710: mworld] :
( ~ ( mrel @ SV222 @ SY2710 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ universal_class @ SY2710 ) )
| ~ ~ ( ~ ! [SY2711: mworld] :
( ~ ( mrel @ SV222 @ SY2711 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2711 ) )
| ~ ! [SY2712: mworld] :
( ~ ( mrel @ SV222 @ SY2712 )
| ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2712 ) ) ) ) )
= $false )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1611]) ).
thf(1714,plain,
! [SV146: $i,SV297: $i,SV223: mworld,SV65: mworld,SV417: mworld] :
( ( ( ~ ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1612]) ).
thf(1715,plain,
! [SV65: mworld,SV223: mworld,SV146: $i,SV297: $i,SV418: mworld] :
( ( ( ~ ! [SY2464: mworld] :
( ~ ( mrel @ SV418 @ SY2464 )
| ( member @ SV297 @ universal_class @ SY2464 ) )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1613]) ).
thf(1716,plain,
! [SV66: mworld,SV224: mworld,SV354: mworld,SV419: $i,SV298: $i,SV147: $i,SV456: mworld] :
( ( ( ! [SY2590: mworld] :
( ~ ( mrel @ SV456 @ SY2590 )
| ( qmltpeq @ SV147 @ SV298 @ SY2590 ) ) )
= $false )
| ( ( ! [SY2591: mworld] :
( ~ ( mrel @ SV456 @ SY2591 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SY2591 ) ) )
= $true )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1717,plain,
! [SV68: mworld,SV226: mworld,SV355: mworld,SV420: $i,SV299: $i,SV149: $i,SV457: mworld] :
( ( ( ! [SY2592: mworld] :
( ~ ( mrel @ SV457 @ SY2592 )
| ( qmltpeq @ SV149 @ SV299 @ SY2592 ) ) )
= $false )
| ( ( ! [SY2593: mworld] :
( ~ ( mrel @ SV457 @ SY2593 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SY2593 ) ) )
= $true )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1718,plain,
! [SV69: mworld,SV227: mworld,SV356: mworld,SV421: $i,SV300: $i,SV150: $i,SV458: mworld] :
( ( ( ! [SY2594: mworld] :
( ~ ( mrel @ SV458 @ SY2594 )
| ( qmltpeq @ SV150 @ SV300 @ SY2594 ) ) )
= $false )
| ( ( ! [SY2595: mworld] :
( ~ ( mrel @ SV458 @ SY2595 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SY2595 ) ) )
= $true )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1719,plain,
! [SV70: mworld,SV228: mworld,SV357: mworld,SV422: $i,SV301: $i,SV151: $i,SV459: mworld] :
( ( ( ! [SY2596: mworld] :
( ~ ( mrel @ SV459 @ SY2596 )
| ( qmltpeq @ SV151 @ SV301 @ SY2596 ) ) )
= $false )
| ( ( ! [SY2597: mworld] :
( ~ ( mrel @ SV459 @ SY2597 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SY2597 ) ) )
= $true )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1720,plain,
! [SV71: mworld,SV229: mworld,SV358: mworld,SV423: $i,SV302: $i,SV152: $i,SV460: mworld] :
( ( ( ~ ( ~ ! [SY2598: mworld] :
( ~ ( mrel @ SV460 @ SY2598 )
| ( qmltpeq @ SV152 @ SV302 @ SY2598 ) )
| ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) ) )
= $false )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1721,plain,
! [SV74: mworld,SV232: mworld,SV360: mworld,SV424: $i,SV304: $i,SV155: $i,SV461: mworld] :
( ( ( ! [SY2601: mworld] :
( ~ ( mrel @ SV461 @ SY2601 )
| ( qmltpeq @ SV155 @ SV304 @ SY2601 ) ) )
= $false )
| ( ( ! [SY2602: mworld] :
( ~ ( mrel @ SV461 @ SY2602 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SY2602 ) ) )
= $true )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1722,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV462: mworld] :
( ( ( ~ ! [SY2666: mworld] :
( ~ ( mrel @ SV462 @ SY2666 )
| ~ ! [SY2667: mworld] :
( ~ ( mrel @ SY2666 @ SY2667 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2667 ) )
| ~ ( ~ ! [SY2490: mworld] :
( ~ ( mrel @ SY2666 @ SY2490 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2490 ) )
| ~ ! [SY2669: mworld] :
( ~ ( mrel @ SY2666 @ SY2669 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2669 ) ) ) )
| ~ ! [SY2670: mworld] :
( ~ ( mrel @ SV462 @ SY2670 )
| ~ ~ ( ~ ! [SY2493: mworld] :
( ~ ( mrel @ SY2670 @ SY2493 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2493 ) )
| ~ ! [SY2672: mworld] :
( ~ ( mrel @ SY2670 @ SY2672 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2672 ) ) )
| ! [SY2673: mworld] :
( ~ ( mrel @ SY2670 @ SY2673 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2673 ) ) ) )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1723,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV463: mworld] :
( ( ( ~ ! [SY2674: mworld] :
( ~ ( mrel @ SV463 @ SY2674 )
| ~ ! [SY2675: mworld] :
( ~ ( mrel @ SY2674 @ SY2675 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2675 ) )
| ~ ( ~ ! [SY2500: mworld] :
( ~ ( mrel @ SY2674 @ SY2500 )
| ( member @ SV426 @ universal_class @ SY2500 ) )
| ~ ! [SY2677: mworld] :
( ~ ( mrel @ SY2674 @ SY2677 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2677 ) ) ) )
| ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV463 @ SY2678 )
| ~ ~ ( ~ ! [SY2503: mworld] :
( ~ ( mrel @ SY2678 @ SY2503 )
| ( member @ SV426 @ universal_class @ SY2503 ) )
| ~ ! [SY2680: mworld] :
( ~ ( mrel @ SY2678 @ SY2680 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2680 ) ) )
| ! [SY2681: mworld] :
( ~ ( mrel @ SY2678 @ SY2681 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2681 ) ) ) )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1724,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV464: mworld] :
( ( ( ~ ! [SY2682: mworld] :
( ~ ( mrel @ SV464 @ SY2682 )
| ~ ! [SY2683: mworld] :
( ~ ( mrel @ SY2682 @ SY2683 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2683 ) )
| ~ ( ~ ! [SY2510: mworld] :
( ~ ( mrel @ SY2682 @ SY2510 )
| ( member @ SV159 @ SV427 @ SY2510 ) )
| ~ ! [SY2685: mworld] :
( ~ ( mrel @ SY2682 @ SY2685 )
| ( member @ SV308 @ SV485 @ SY2685 ) ) ) )
| ~ ! [SY2686: mworld] :
( ~ ( mrel @ SV464 @ SY2686 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2686 @ SY2513 )
| ( member @ SV159 @ SV427 @ SY2513 ) )
| ~ ! [SY2688: mworld] :
( ~ ( mrel @ SY2686 @ SY2688 )
| ( member @ SV308 @ SV485 @ SY2688 ) ) )
| ! [SY2689: mworld] :
( ~ ( mrel @ SY2686 @ SY2689 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2689 ) ) ) )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1725,plain,
! [SV237: mworld,SV79: mworld,SV309: $i,SV160: $i,SV504: mworld,SV365: mworld] :
( ( ( ~ ( mrel @ SV365 @ SV504 )
| ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SV504 ) )
= $true )
| ( ( mrel @ SV365 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) )
= $true )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(1726,plain,
! [SV237: mworld,SV79: mworld,SV309: $i,SV160: $i,SV486: mworld,SV365: mworld] :
( ( ( ~ ( mrel @ SV365 @ SV486 ) )
= $true )
| ( ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SV486 )
= $true )
| ( ( qmltpeq @ SV160 @ SV309 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) )
= $false )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1624]) ).
thf(1727,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV487: mworld,SV366: mworld] :
( ( ( ~ ( mrel @ SV366 @ SV487 ) )
= $true )
| ( ( ~ ! [SY2690: mworld] :
( ~ ( mrel @ SV487 @ SY2690 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2690 ) )
| ~ ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) ) )
= $true )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1625]) ).
thf(1728,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV488: mworld,SV366: mworld] :
( ( ( ~ ( mrel @ SV366 @ SV488 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2693: mworld] :
( ~ ( mrel @ SV488 @ SY2693 )
| ( member @ SV428 @ SV161 @ SY2693 ) )
| ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
| ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1626]) ).
thf(1729,plain,
! [SV239: mworld,SV81: mworld,SV311: $i,SV162: $i,SV505: mworld,SV367: mworld] :
( ( ( ~ ( mrel @ SV367 @ SV505 )
| ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SV505 ) )
= $true )
| ( ( mrel @ SV367 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) )
= $true )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(1730,plain,
! [SV239: mworld,SV81: mworld,SV311: $i,SV162: $i,SV489: mworld,SV367: mworld] :
( ( ( ~ ( mrel @ SV367 @ SV489 ) )
= $true )
| ( ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SV489 )
= $true )
| ( ( qmltpeq @ SV162 @ SV311 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) )
= $false )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1628]) ).
thf(1731,plain,
! [SV240: mworld,SV82: mworld,SV312: $i,SV163: $i,SV506: mworld,SV368: mworld] :
( ( ( ~ ( mrel @ SV368 @ SV506 )
| ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SV506 ) )
= $true )
| ( ( mrel @ SV368 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) )
= $true )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1629]) ).
thf(1732,plain,
! [SV240: mworld,SV82: mworld,SV312: $i,SV163: $i,SV490: mworld,SV368: mworld] :
( ( ( ~ ( mrel @ SV368 @ SV490 ) )
= $true )
| ( ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SV490 )
= $true )
| ( ( qmltpeq @ SV163 @ SV312 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) )
= $false )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1630]) ).
thf(1733,plain,
! [SV241: mworld,SV83: mworld,SV313: $i,SV164: $i,SV507: mworld,SV369: mworld] :
( ( ( ~ ( mrel @ SV369 @ SV507 )
| ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SV507 ) )
= $true )
| ( ( mrel @ SV369 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) )
= $true )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(1734,plain,
! [SV241: mworld,SV83: mworld,SV313: $i,SV164: $i,SV491: mworld,SV369: mworld] :
( ( ( ~ ( mrel @ SV369 @ SV491 ) )
= $true )
| ( ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SV491 )
= $true )
| ( ( qmltpeq @ SV164 @ SV313 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) )
= $false )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1632]) ).
thf(1735,plain,
! [SV3: mworld,SV165: mworld,SV314: mworld,SV466: $i,SV374: $i,SV245: $i,SV86: $i,SV492: mworld,SV429: mworld] :
( ( ( ~ ( mrel @ SV429 @ SV492 ) )
= $true )
| ( ( ~ ! [SY2696: mworld] :
( ~ ( mrel @ SV492 @ SY2696 )
| ( qmltpeq @ SV86 @ SV245 @ SY2696 ) )
| ! [SY2697: mworld] :
( ~ ( mrel @ SV492 @ SY2697 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SY2697 ) ) )
= $true )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1633]) ).
thf(1736,plain,
! [SV246: $i,SV87: $i,SV166: mworld,SV4: mworld,SV375: mworld] :
( ( ( ~ ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1737,plain,
! [SV375: mworld,SV166: mworld,SV4: mworld,SV87: $i,SV246: $i] :
( ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( ~ ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1738,plain,
! [SV4: mworld,SV166: mworld,SV87: $i,SV246: $i,SV376: mworld] :
( ( ( ~ ! [SY2298: mworld] :
( ~ ( mrel @ SV376 @ SY2298 )
| ( member @ SV246 @ universal_class @ SY2298 ) ) )
= $true )
| ( ( ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1635]) ).
thf(1739,plain,
! [SV88: $i,SV247: $i,SV377: $i,SV315: mworld,SV167: mworld,SV5: mworld,SV430: mworld] :
( ( ( ~ ( mrel @ SV430 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) )
| ( qmltpeq @ SV88 @ SV247 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) ) )
= $false )
| ( ( ! [SY2529: mworld] :
( ~ ( mrel @ SV430 @ SY2529 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SY2529 ) ) )
= $true )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1636]) ).
thf(1740,plain,
! [SV6: mworld,SV168: mworld,SV316: mworld,SV467: $i,SV378: $i,SV248: $i,SV89: $i,SV493: mworld,SV431: mworld] :
( ( ( ~ ( mrel @ SV431 @ SV493 ) )
= $true )
| ( ( ~ ! [SY2698: mworld] :
( ~ ( mrel @ SV493 @ SY2698 )
| ( qmltpeq @ SV89 @ SV248 @ SY2698 ) )
| ! [SY2699: mworld] :
( ~ ( mrel @ SV493 @ SY2699 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SY2699 ) ) )
= $true )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1637]) ).
thf(1741,plain,
! [SV90: $i,SV249: $i,SV379: $i,SV317: mworld,SV169: mworld,SV7: mworld,SV432: mworld] :
( ( ( ~ ( mrel @ SV432 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) )
| ( qmltpeq @ SV90 @ SV249 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) ) )
= $false )
| ( ( ! [SY2535: mworld] :
( ~ ( mrel @ SV432 @ SY2535 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SY2535 ) ) )
= $true )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1638]) ).
thf(1742,plain,
! [SV91: $i,SV250: $i,SV170: mworld,SV8: mworld,SV380: mworld] :
( ( ( ~ ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) ) )
= $false )
| ( ( ~ ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1639]) ).
thf(1743,plain,
! [SV380: mworld,SV170: mworld,SV8: mworld,SV250: $i,SV91: $i] :
( ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( ~ ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1639]) ).
thf(1744,plain,
! [SV8: mworld,SV170: mworld,SV250: $i,SV508: $i,SV91: $i,SV381: mworld] :
( ( ( ~ ~ ( ~ ! [SY2713: mworld] :
( ~ ( mrel @ SV381 @ SY2713 )
| ( member @ SV91 @ SV508 @ SY2713 ) )
| ~ ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1640]) ).
thf(1745,plain,
! [SV171: mworld,SV9: mworld,SV251: $i,SV92: $i,SV494: mworld,SV318: mworld] :
( ( ( ~ ( mrel @ SV318 @ SV494 ) )
= $true )
| ( ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SV494 )
= $true )
| ( ( mrel @ SV318 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) )
= $true )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1641]) ).
thf(1746,plain,
! [SV171: mworld,SV9: mworld,SV251: $i,SV92: $i,SV468: mworld,SV318: mworld] :
( ( ( mrel @ SV318 @ SV468 )
= $false )
| ( ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SV468 )
= $true )
| ( ( qmltpeq @ SV92 @ SV251 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) )
= $false )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1747,plain,
! [SV96: $i,SV254: $i,SV383: $i,SV321: mworld,SV175: mworld,SV13: mworld,SV434: mworld] :
( ( ( ~ ( mrel @ SV434 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) )
| ( qmltpeq @ SV96 @ SV254 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) ) )
= $false )
| ( ( ! [SY2537: mworld] :
( ~ ( mrel @ SV434 @ SY2537 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SY2537 ) ) )
= $true )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1643]) ).
thf(1748,plain,
! [SV176: mworld,SV14: mworld,SV255: $i,SV97: $i,SV495: mworld,SV322: mworld] :
( ( ( ~ ( mrel @ SV322 @ SV495 ) )
= $true )
| ( ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SV495 )
= $true )
| ( ( mrel @ SV322 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) )
= $true )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1644]) ).
thf(1749,plain,
! [SV176: mworld,SV14: mworld,SV255: $i,SV97: $i,SV469: mworld,SV322: mworld] :
( ( ( mrel @ SV322 @ SV469 )
= $false )
| ( ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SV469 )
= $true )
| ( ( qmltpeq @ SV97 @ SV255 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) )
= $false )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1750,plain,
! [SV98: $i,SV256: $i,SV177: mworld,SV15: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) ) )
= $false )
| ( ( ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1751,plain,
! [SV323: mworld,SV256: $i,SV177: mworld,SV15: mworld,SV98: $i] :
( ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1752,plain,
! [SV179: mworld,SV17: mworld,SV258: $i,SV100: $i,SV496: mworld,SV325: mworld] :
( ( ( ~ ( mrel @ SV325 @ SV496 ) )
= $true )
| ( ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SV496 )
= $true )
| ( ( mrel @ SV325 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) )
= $true )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1647]) ).
thf(1753,plain,
! [SV179: mworld,SV17: mworld,SV258: $i,SV100: $i,SV470: mworld,SV325: mworld] :
( ( ( mrel @ SV325 @ SV470 )
= $false )
| ( ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SV470 )
= $true )
| ( ( qmltpeq @ SV100 @ SV258 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) )
= $false )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1648]) ).
thf(1754,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV471: mworld,SV326: mworld] :
( ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( ~ ! [SY2641: mworld] :
( ~ ( mrel @ SV471 @ SY2641 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2641 ) )
| ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) )
| ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1649]) ).
thf(1755,plain,
! [SV20: mworld,SV182: mworld,SV259: $i,SV103: $i,SV384: $i,SV472: mworld,SV326: mworld] :
( ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( ~ ( ! [SY2644: mworld] :
( ~ ( mrel @ SV472 @ SY2644 )
| ( member @ SV384 @ SV103 @ SY2644 ) )
| ! [SY2645: mworld] :
( ~ ( mrel @ SV472 @ SY2645 )
| ( member @ SV384 @ SV259 @ SY2645 ) ) )
| ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1650]) ).
thf(1756,plain,
! [SV21: mworld,SV183: mworld,SV327: mworld,SV473: $i,SV385: $i,SV260: $i,SV104: $i,SV497: mworld,SV435: mworld] :
( ( ( ~ ( mrel @ SV435 @ SV497 ) )
= $true )
| ( ( ~ ! [SY2700: mworld] :
( ~ ( mrel @ SV497 @ SY2700 )
| ( qmltpeq @ SV104 @ SV260 @ SY2700 ) )
| ! [SY2701: mworld] :
( ~ ( mrel @ SV497 @ SY2701 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SY2701 ) ) )
= $true )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1651]) ).
thf(1757,plain,
! [SV106: $i,SV261: $i,SV185: mworld,SV23: mworld,SV386: mworld] :
( ( ( ~ ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1652]) ).
thf(1758,plain,
! [SV386: mworld,SV185: mworld,SV23: mworld,SV261: $i,SV106: $i] :
( ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( ~ ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1652]) ).
thf(1759,plain,
! [SV23: mworld,SV185: mworld,SV261: $i,SV106: $i,SV387: mworld] :
( ( ( ~ ! [SY2341: mworld] :
( ~ ( mrel @ SV387 @ SY2341 )
| ( member @ SV106 @ universal_class @ SY2341 ) ) )
= $true )
| ( ( ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1653]) ).
thf(1760,plain,
! [SV107: $i,SV262: $i,SV388: $i,SV328: mworld,SV186: mworld,SV24: mworld,SV436: mworld] :
( ( ( ~ ( mrel @ SV436 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) )
| ( qmltpeq @ SV107 @ SV262 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) ) )
= $false )
| ( ( ! [SY2543: mworld] :
( ~ ( mrel @ SV436 @ SY2543 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SY2543 ) ) )
= $true )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1654]) ).
thf(1761,plain,
! [SV25: mworld,SV187: mworld,SV329: mworld,SV389: $i,SV263: $i,SV108: $i,SV437: mworld] :
( ( ( ~ ! [SY2544: mworld] :
( ~ ( mrel @ SV437 @ SY2544 )
| ( qmltpeq @ SV108 @ SV263 @ SY2544 ) )
| ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1655]) ).
thf(1762,plain,
! [SV264: $i,SV109: $i,SV188: mworld,SV26: mworld,SV390: mworld] :
( ( ( ~ ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1656]) ).
thf(1763,plain,
! [SV390: mworld,SV188: mworld,SV26: mworld,SV109: $i,SV264: $i] :
( ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( ~ ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1656]) ).
thf(1764,plain,
! [SV26: mworld,SV188: mworld,SV109: $i,SV264: $i,SV391: mworld] :
( ( ( ~ ! [SY2355: mworld] :
( ~ ( mrel @ SV391 @ SY2355 )
| ( member @ SV264 @ universal_class @ SY2355 ) ) )
= $true )
| ( ( ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1657]) ).
thf(1765,plain,
! [SV110: $i,SV265: $i,SV392: $i,SV330: mworld,SV189: mworld,SV27: mworld,SV438: mworld] :
( ( ( ~ ( mrel @ SV438 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) )
| ( qmltpeq @ SV110 @ SV265 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) ) )
= $false )
| ( ( ! [SY2548: mworld] :
( ~ ( mrel @ SV438 @ SY2548 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SY2548 ) ) )
= $true )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1658]) ).
thf(1766,plain,
! [SV111: $i,SV266: $i,SV393: $i,SV331: mworld,SV190: mworld,SV28: mworld,SV439: mworld] :
( ( ( ~ ( mrel @ SV439 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) )
| ( qmltpeq @ SV111 @ SV266 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) ) )
= $false )
| ( ( ! [SY2550: mworld] :
( ~ ( mrel @ SV439 @ SY2550 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SY2550 ) ) )
= $true )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1659]) ).
thf(1767,plain,
! [SV192: mworld,SV31: mworld,SV268: $i,SV113: $i,SV498: mworld,SV333: mworld] :
( ( ( ~ ( mrel @ SV333 @ SV498 ) )
= $true )
| ( ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SV498 )
= $true )
| ( ( mrel @ SV333 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) )
= $true )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1660]) ).
thf(1768,plain,
! [SV192: mworld,SV31: mworld,SV268: $i,SV113: $i,SV474: mworld,SV333: mworld] :
( ( ( mrel @ SV333 @ SV474 )
= $false )
| ( ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SV474 )
= $true )
| ( ( qmltpeq @ SV113 @ SV268 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) )
= $false )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1661]) ).
thf(1769,plain,
! [SV32: mworld,SV193: mworld,SV334: mworld,SV394: $i,SV269: $i,SV114: $i,SV440: mworld] :
( ( ( ~ ! [SY2551: mworld] :
( ~ ( mrel @ SV440 @ SY2551 )
| ( qmltpeq @ SV114 @ SV269 @ SY2551 ) )
| ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1662]) ).
thf(1770,plain,
! [SV115: $i,SV270: $i,SV194: mworld,SV33: mworld,SV395: mworld] :
( ( ( ~ ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) ) )
= $false )
| ( ( ! [SY2370: mworld] :
( ~ ( mrel @ SV395 @ SY2370 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY2370 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1663]) ).
thf(1771,plain,
! [SV395: mworld,SV194: mworld,SV33: mworld,SV270: $i,SV115: $i] :
( ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( ! [SY2370: mworld] :
( ~ ( mrel @ SV395 @ SY2370 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY2370 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1663]) ).
thf(1772,plain,
! [SV115: $i,SV270: $i,SV194: mworld,SV33: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1664]) ).
thf(1773,plain,
! [SV396: mworld,SV115: $i,SV270: $i,SV194: mworld,SV33: mworld] :
( ( ( ! [SY2702: $i,SY2703: mworld] :
( ~ ( mrel @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) @ SY2703 )
| ~ ! [SY846: mworld] :
( ~ ( mrel @ SY2703 @ SY846 )
| ( member @ SY2702 @ SV115 @ SY846 ) )
| ! [SY1800: mworld] :
( ~ ( mrel @ SY2703 @ SY1800 )
| ( member @ SY2702 @ SV270 @ SY1800 ) ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1664]) ).
thf(1774,plain,
! [SV116: $i,SV271: $i,SV195: mworld,SV34: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) ) )
= $false )
| ( ( ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1665]) ).
thf(1775,plain,
! [SV335: mworld,SV195: mworld,SV34: mworld,SV271: $i,SV116: $i] :
( ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1665]) ).
thf(1776,plain,
! [SV196: mworld,SV35: mworld,SV272: $i,SV117: $i,SV499: mworld,SV336: mworld] :
( ( ( ~ ( mrel @ SV336 @ SV499 ) )
= $true )
| ( ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SV499 )
= $true )
| ( ( mrel @ SV336 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) )
= $true )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1666]) ).
thf(1777,plain,
! [SV196: mworld,SV35: mworld,SV272: $i,SV117: $i,SV475: mworld,SV336: mworld] :
( ( ( mrel @ SV336 @ SV475 )
= $false )
| ( ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SV475 )
= $true )
| ( ( qmltpeq @ SV117 @ SV272 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) )
= $false )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1667]) ).
thf(1778,plain,
! [SV118: $i,SV273: $i,SV397: $i,SV337: mworld,SV197: mworld,SV36: mworld,SV441: mworld] :
( ( ( ~ ( mrel @ SV441 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) )
| ( qmltpeq @ SV118 @ SV273 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) ) )
= $false )
| ( ( ! [SY2555: mworld] :
( ~ ( mrel @ SV441 @ SY2555 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SY2555 ) ) )
= $true )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1668]) ).
thf(1779,plain,
! [SV119: $i,SV274: $i,SV398: $i,SV338: mworld,SV198: mworld,SV37: mworld,SV442: mworld] :
( ( ( ~ ( mrel @ SV442 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) )
| ( qmltpeq @ SV119 @ SV274 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) ) )
= $false )
| ( ( ! [SY2557: mworld] :
( ~ ( mrel @ SV442 @ SY2557 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SY2557 ) ) )
= $true )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1669]) ).
thf(1780,plain,
! [SV39: mworld,SV200: mworld,SV339: mworld,SV400: $i,SV275: $i,SV121: $i,SV444: mworld] :
( ( ( ~ ! [SY2558: mworld] :
( ~ ( mrel @ SV444 @ SY2558 )
| ( qmltpeq @ SV121 @ SV275 @ SY2558 ) )
| ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1670]) ).
thf(1781,plain,
! [SV122: $i,SV276: $i,SV401: $i,SV340: mworld,SV201: mworld,SV40: mworld,SV445: mworld] :
( ( ( ~ ( mrel @ SV445 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) )
| ( qmltpeq @ SV122 @ SV276 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) ) )
= $false )
| ( ( ! [SY2562: mworld] :
( ~ ( mrel @ SV445 @ SY2562 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SY2562 ) ) )
= $true )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1671]) ).
thf(1782,plain,
! [SV123: $i,SV277: $i,SV402: $i,SV341: mworld,SV202: mworld,SV41: mworld,SV446: mworld] :
( ( ( ~ ( mrel @ SV446 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) )
| ( qmltpeq @ SV123 @ SV277 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) ) )
= $false )
| ( ( ! [SY2564: mworld] :
( ~ ( mrel @ SV446 @ SY2564 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SY2564 ) ) )
= $true )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1672]) ).
thf(1783,plain,
! [SV42: mworld,SV203: mworld,SV342: mworld,SV403: $i,SV278: $i,SV124: $i,SV447: mworld] :
( ( ( ~ ! [SY2565: mworld] :
( ~ ( mrel @ SV447 @ SY2565 )
| ( qmltpeq @ SV124 @ SV278 @ SY2565 ) )
| ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1673]) ).
thf(1784,plain,
! [SV126: $i,SV279: $i,SV405: $i,SV343: mworld,SV205: mworld,SV44: mworld,SV449: mworld] :
( ( ( ~ ( mrel @ SV449 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) )
| ( qmltpeq @ SV126 @ SV279 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) ) )
= $false )
| ( ( ! [SY2569: mworld] :
( ~ ( mrel @ SV449 @ SY2569 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SY2569 ) ) )
= $true )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1674]) ).
thf(1785,plain,
! [SV127: $i,SV280: $i,SV206: mworld,SV45: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) ) )
= $false )
| ( ( ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1786,plain,
! [SV344: mworld,SV206: mworld,SV45: mworld,SV280: $i,SV127: $i] :
( ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1787,plain,
! [SV46: mworld,SV207: mworld,SV345: mworld,SV406: $i,SV281: $i,SV128: $i,SV450: mworld] :
( ( ( ~ ! [SY2570: mworld] :
( ~ ( mrel @ SV450 @ SY2570 )
| ( qmltpeq @ SV128 @ SV281 @ SY2570 ) )
| ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1676]) ).
thf(1788,plain,
! [SV370: $i,SV243: mworld,SV373: mworld] :
( ( ( mrel @ SV373 @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $true )
| ( ( ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) )
| ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1789,plain,
! [SV243: mworld,SV370: $i,SV373: mworld] :
( ( ( ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) ) )
= $true )
| ( ( ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( member @ SV370 @ universal_class @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $false )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1678]) ).
thf(1790,plain,
! [SV130: $i,SV282: $i,SV209: mworld,SV48: mworld,SV407: mworld] :
( ( ( ~ ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1791,plain,
! [SV407: mworld,SV209: mworld,SV48: mworld,SV282: $i,SV130: $i] :
( ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( ~ ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1792,plain,
! [SV48: mworld,SV209: mworld,SV282: $i,SV130: $i,SV408: mworld] :
( ( ( ~ ! [SY2411: mworld] :
( ~ ( mrel @ SV408 @ SY2411 )
| ( subclass @ SV130 @ SV282 @ SY2411 ) ) )
= $true )
| ( ( ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1680]) ).
thf(1793,plain,
! [SV211: mworld,SV50: mworld,SV283: $i,SV132: $i,SV500: mworld,SV346: mworld] :
( ( ( ~ ( mrel @ SV346 @ SV500 ) )
= $true )
| ( ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SV500 )
= $true )
| ( ( mrel @ SV346 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) )
= $true )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1681]) ).
thf(1794,plain,
! [SV211: mworld,SV50: mworld,SV283: $i,SV132: $i,SV476: mworld,SV346: mworld] :
( ( ( mrel @ SV346 @ SV476 )
= $false )
| ( ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SV476 )
= $true )
| ( ( qmltpeq @ SV132 @ SV283 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) )
= $false )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1795,plain,
! [SV212: mworld,SV51: mworld,SV133: $i,SV284: $i,SV501: mworld,SV347: mworld] :
( ( ( ~ ( mrel @ SV347 @ SV501 ) )
= $true )
| ( ( qmltpeq @ SV284 @ SV133 @ SV501 )
= $true )
| ( ( mrel @ SV347 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) )
= $true )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1683]) ).
thf(1796,plain,
! [SV212: mworld,SV51: mworld,SV133: $i,SV284: $i,SV477: mworld,SV347: mworld] :
( ( ( mrel @ SV347 @ SV477 )
= $false )
| ( ( qmltpeq @ SV284 @ SV133 @ SV477 )
= $true )
| ( ( qmltpeq @ SV133 @ SV284 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) )
= $false )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1797,plain,
! [SV372: mworld,SV451: $i,SV465: mworld] :
( ( ( ! [SY2630: mworld] :
( ~ ( mrel @ SV465 @ SY2630 )
| ( inductive @ SV451 @ SY2630 ) ) )
= $false )
| ( ( ! [SY2631: mworld] :
( ~ ( mrel @ SV465 @ SY2631 )
| ( subclass @ sK3_SX0 @ SV451 @ SY2631 ) ) )
= $true )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1798,plain,
! [SV213: mworld,SV52: mworld,SV285: $i,SV134: $i,SV502: mworld,SV348: mworld] :
( ( ( ~ ( mrel @ SV348 @ SV502 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SV502 )
= $true )
| ( ( mrel @ SV348 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) )
= $true )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1686]) ).
thf(1799,plain,
! [SV213: mworld,SV52: mworld,SV285: $i,SV134: $i,SV478: mworld,SV348: mworld] :
( ( ( mrel @ SV348 @ SV478 )
= $false )
| ( ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SV478 )
= $true )
| ( ( qmltpeq @ SV134 @ SV285 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) )
= $false )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1800,plain,
! [SV54: mworld,SV215: mworld,SV349: mworld,SV409: $i,SV286: $i,SV136: $i,SV452: mworld] :
( ( ( ~ ! [SY2576: mworld] :
( ~ ( mrel @ SV452 @ SY2576 )
| ( qmltpeq @ SV136 @ SV286 @ SY2576 ) )
| ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1801,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ! [SY1880: mworld] :
( ~ ( mrel @ SV287 @ SY1880 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SY1880 ) ) )
= $true )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1802,plain,
! [SV55: mworld,SV137: $i,SV287: mworld] :
( ( ( ! [SY1881: mworld] :
( ~ ( mrel @ SV287 @ SY1881 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1881 ) ) )
= $true )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1690]) ).
thf(1803,plain,
! [SV55: mworld,SV137: $i,SV509: mworld,SV287: mworld] :
( ( ( ~ ( mrel @ SV287 @ SV509 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SV509 ) )
= $true )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(1804,plain,
! [SV55: mworld,SV137: $i,SV510: mworld,SV287: mworld] :
( ( ( ~ ( mrel @ SV287 @ SV510 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SV510 ) )
= $true )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(1805,plain,
! [SV137: $i,SV55: mworld,SV288: mworld] :
( ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( ~ ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1693]) ).
thf(1806,plain,
! [SV55: mworld,SV137: $i,SV288: mworld] :
( ( ( ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
= $false )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1694]) ).
thf(1807,plain,
! [SV138: $i,SV289: $i,SV216: mworld,SV56: mworld,SV410: mworld] :
( ( ( ~ ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) ) )
= $false )
| ( ( ! [SY2419: mworld] :
( ~ ( mrel @ SV410 @ SY2419 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY2419 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1695]) ).
thf(1808,plain,
! [SV410: mworld,SV216: mworld,SV56: mworld,SV289: $i,SV138: $i] :
( ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( ! [SY2419: mworld] :
( ~ ( mrel @ SV410 @ SY2419 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY2419 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1695]) ).
thf(1809,plain,
! [SV138: $i,SV289: $i,SV216: mworld,SV56: mworld,SV411: mworld] :
( ( ( ~ ( mrel @ SV411 @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1810,plain,
! [SV411: mworld,SV138: $i,SV289: $i,SV216: mworld,SV56: mworld] :
( ( ( ! [SY2706: $i,SY2707: mworld] :
( ~ ( mrel @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) @ SY2707 )
| ~ ~ ( ~ ! [SY990: mworld] :
( ~ ( mrel @ SY2707 @ SY990 )
| ( member @ SY2706 @ SV138 @ SY990 ) )
| ~ ! [SY1897: mworld] :
( ~ ( mrel @ SY2707 @ SY1897 )
| ( member @ SY2706 @ SV289 @ SY1897 ) ) ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1811,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1812,plain,
! [SV412: mworld,SV217: mworld,SV57: mworld,SV290: $i,SV139: $i] :
( ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( ~ ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1813,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV413: mworld] :
( ( ( ~ ! [SY2434: mworld] :
( ~ ( mrel @ SV413 @ SY2434 )
| ( member @ SV139 @ universal_class @ SY2434 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1698]) ).
thf(1814,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld,SV350: mworld] :
( ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( ~ ! [SY2650: mworld] :
( ~ ( mrel @ SV479 @ SY2650 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2650 ) )
| ~ ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) ) )
= $true )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1815,plain,
! [SV58: mworld,SV218: mworld,SV414: $i,SV291: $i,SV140: $i,SV480: mworld,SV350: mworld] :
( ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2654: mworld] :
( ~ ( mrel @ SV480 @ SY2654 )
| ( member @ SV140 @ universal_class @ SY2654 ) )
| ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) )
| ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1700]) ).
thf(1816,plain,
! [SV415: $i,SV141: $i,SV292: $i,SV351: mworld,SV219: mworld,SV60: mworld,SV453: mworld] :
( ( ( ~ ( mrel @ SV453 @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) )
| ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) ) )
= $false )
| ( ( ! [SY2580: mworld] :
( ~ ( mrel @ SV453 @ SY2580 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SY2580 ) ) )
= $true )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1701]) ).
thf(1817,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ! [SY1927: mworld] :
( ~ ( mrel @ SV293 @ SY1927 )
| ( member @ null_class @ SV142 @ SY1927 ) ) )
= $true )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1818,plain,
! [SV61: mworld,SV142: $i,SV293: mworld] :
( ( ( ! [SY1928: mworld] :
( ~ ( mrel @ SV293 @ SY1928 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1928 ) ) )
= $true )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1703]) ).
thf(1819,plain,
! [SV61: mworld,SV142: $i,SV511: mworld,SV293: mworld] :
( ( ( ~ ( mrel @ SV293 @ SV511 )
| ( member @ null_class @ SV142 @ SV511 ) )
= $true )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1704]) ).
thf(1820,plain,
! [SV61: mworld,SV142: $i,SV512: mworld,SV293: mworld] :
( ( ( ~ ( mrel @ SV293 @ SV512 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SV512 ) )
= $true )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(1821,plain,
! [SV142: $i,SV61: mworld,SV294: mworld] :
( ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( ~ ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1706]) ).
thf(1822,plain,
! [SV61: mworld,SV142: $i,SV294: mworld] :
( ( ( ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
= $false )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1823,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV454: mworld] :
( ( ( ~ ! [SY2658: mworld] :
( ~ ( mrel @ SV454 @ SY2658 )
| ~ ! [SY2659: mworld] :
( ~ ( mrel @ SY2658 @ SY2659 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2659 ) )
| ~ ( ~ ! [SY2660: mworld] :
( ~ ( mrel @ SY2658 @ SY2660 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2660 ) )
| ~ ! [SY2661: mworld] :
( ~ ( mrel @ SY2658 @ SY2661 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2661 ) ) ) ) )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1824,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV454: mworld] :
( ( ( ~ ! [SY2662: mworld] :
( ~ ( mrel @ SV454 @ SY2662 )
| ~ ~ ( ~ ! [SY2663: mworld] :
( ~ ( mrel @ SY2662 @ SY2663 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2663 ) )
| ~ ! [SY2664: mworld] :
( ~ ( mrel @ SY2662 @ SY2664 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2664 ) ) )
| ! [SY2665: mworld] :
( ~ ( mrel @ SY2662 @ SY2665 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2665 ) ) ) )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1825,plain,
! [SV221: mworld,SV63: mworld,SV296: $i,SV144: $i,SV503: mworld,SV353: mworld] :
( ( ( ~ ( mrel @ SV353 @ SV503 ) )
= $true )
| ( ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SV503 )
= $true )
| ( ( mrel @ SV353 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) )
= $true )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1709]) ).
thf(1826,plain,
! [SV221: mworld,SV63: mworld,SV296: $i,SV144: $i,SV482: mworld,SV353: mworld] :
( ( ( mrel @ SV353 @ SV482 )
= $false )
| ( ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SV482 )
= $true )
| ( ( qmltpeq @ SV144 @ SV296 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) )
= $false )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1710]) ).
thf(1827,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ! [SY2632: mworld] :
( ~ ( mrel @ SV222 @ SY2632 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ universal_class @ SY2632 ) ) )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1711]) ).
thf(1828,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ( ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV222 @ SY2633 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2633 ) )
| ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV222 @ SY2634 )
| ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2634 ) ) ) )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1712]) ).
thf(1829,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ~ ( ~ ! [SY2710: mworld] :
( ~ ( mrel @ SV222 @ SY2710 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ universal_class @ SY2710 ) )
| ~ ~ ( ~ ! [SY2711: mworld] :
( ~ ( mrel @ SV222 @ SY2711 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2711 ) )
| ~ ! [SY2712: mworld] :
( ~ ( mrel @ SV222 @ SY2712 )
| ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2712 ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1713]) ).
thf(1830,plain,
! [SV146: $i,SV297: $i,SV223: mworld,SV65: mworld,SV417: mworld] :
( ( ( ~ ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1714]) ).
thf(1831,plain,
! [SV417: mworld,SV223: mworld,SV65: mworld,SV297: $i,SV146: $i] :
( ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( ~ ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1714]) ).
thf(1832,plain,
! [SV65: mworld,SV223: mworld,SV146: $i,SV297: $i,SV418: mworld] :
( ( ( ~ ! [SY2464: mworld] :
( ~ ( mrel @ SV418 @ SY2464 )
| ( member @ SV297 @ universal_class @ SY2464 ) ) )
= $true )
| ( ( ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1715]) ).
thf(1833,plain,
! [SV147: $i,SV298: $i,SV419: $i,SV354: mworld,SV224: mworld,SV66: mworld,SV456: mworld] :
( ( ( ~ ( mrel @ SV456 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) )
| ( qmltpeq @ SV147 @ SV298 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) ) )
= $false )
| ( ( ! [SY2591: mworld] :
( ~ ( mrel @ SV456 @ SY2591 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SY2591 ) ) )
= $true )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1716]) ).
thf(1834,plain,
! [SV149: $i,SV299: $i,SV420: $i,SV355: mworld,SV226: mworld,SV68: mworld,SV457: mworld] :
( ( ( ~ ( mrel @ SV457 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) )
| ( qmltpeq @ SV149 @ SV299 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) ) )
= $false )
| ( ( ! [SY2593: mworld] :
( ~ ( mrel @ SV457 @ SY2593 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SY2593 ) ) )
= $true )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1717]) ).
thf(1835,plain,
! [SV150: $i,SV300: $i,SV421: $i,SV356: mworld,SV227: mworld,SV69: mworld,SV458: mworld] :
( ( ( ~ ( mrel @ SV458 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) )
| ( qmltpeq @ SV150 @ SV300 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) ) )
= $false )
| ( ( ! [SY2595: mworld] :
( ~ ( mrel @ SV458 @ SY2595 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SY2595 ) ) )
= $true )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1718]) ).
thf(1836,plain,
! [SV151: $i,SV301: $i,SV422: $i,SV357: mworld,SV228: mworld,SV70: mworld,SV459: mworld] :
( ( ( ~ ( mrel @ SV459 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) )
| ( qmltpeq @ SV151 @ SV301 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) ) )
= $false )
| ( ( ! [SY2597: mworld] :
( ~ ( mrel @ SV459 @ SY2597 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SY2597 ) ) )
= $true )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1719]) ).
thf(1837,plain,
! [SV71: mworld,SV229: mworld,SV358: mworld,SV423: $i,SV302: $i,SV152: $i,SV460: mworld] :
( ( ( ~ ! [SY2598: mworld] :
( ~ ( mrel @ SV460 @ SY2598 )
| ( qmltpeq @ SV152 @ SV302 @ SY2598 ) )
| ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1720]) ).
thf(1838,plain,
! [SV155: $i,SV304: $i,SV424: $i,SV360: mworld,SV232: mworld,SV74: mworld,SV461: mworld] :
( ( ( ~ ( mrel @ SV461 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) )
| ( qmltpeq @ SV155 @ SV304 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) ) )
= $false )
| ( ( ! [SY2602: mworld] :
( ~ ( mrel @ SV461 @ SY2602 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SY2602 ) ) )
= $true )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1721]) ).
thf(1839,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV462: mworld] :
( ( ( ~ ! [SY2666: mworld] :
( ~ ( mrel @ SV462 @ SY2666 )
| ~ ! [SY2667: mworld] :
( ~ ( mrel @ SY2666 @ SY2667 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2667 ) )
| ~ ( ~ ! [SY2490: mworld] :
( ~ ( mrel @ SY2666 @ SY2490 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2490 ) )
| ~ ! [SY2669: mworld] :
( ~ ( mrel @ SY2666 @ SY2669 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2669 ) ) ) ) )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1722]) ).
thf(1840,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV462: mworld] :
( ( ( ~ ! [SY2670: mworld] :
( ~ ( mrel @ SV462 @ SY2670 )
| ~ ~ ( ~ ! [SY2493: mworld] :
( ~ ( mrel @ SY2670 @ SY2493 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2493 ) )
| ~ ! [SY2672: mworld] :
( ~ ( mrel @ SY2670 @ SY2672 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2672 ) ) )
| ! [SY2673: mworld] :
( ~ ( mrel @ SY2670 @ SY2673 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2673 ) ) ) )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1722]) ).
thf(1841,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV463: mworld] :
( ( ( ~ ! [SY2674: mworld] :
( ~ ( mrel @ SV463 @ SY2674 )
| ~ ! [SY2675: mworld] :
( ~ ( mrel @ SY2674 @ SY2675 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2675 ) )
| ~ ( ~ ! [SY2500: mworld] :
( ~ ( mrel @ SY2674 @ SY2500 )
| ( member @ SV426 @ universal_class @ SY2500 ) )
| ~ ! [SY2677: mworld] :
( ~ ( mrel @ SY2674 @ SY2677 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2677 ) ) ) ) )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1723]) ).
thf(1842,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV463: mworld] :
( ( ( ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV463 @ SY2678 )
| ~ ~ ( ~ ! [SY2503: mworld] :
( ~ ( mrel @ SY2678 @ SY2503 )
| ( member @ SV426 @ universal_class @ SY2503 ) )
| ~ ! [SY2680: mworld] :
( ~ ( mrel @ SY2678 @ SY2680 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2680 ) ) )
| ! [SY2681: mworld] :
( ~ ( mrel @ SY2678 @ SY2681 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2681 ) ) ) )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1723]) ).
thf(1843,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV464: mworld] :
( ( ( ~ ! [SY2682: mworld] :
( ~ ( mrel @ SV464 @ SY2682 )
| ~ ! [SY2683: mworld] :
( ~ ( mrel @ SY2682 @ SY2683 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2683 ) )
| ~ ( ~ ! [SY2510: mworld] :
( ~ ( mrel @ SY2682 @ SY2510 )
| ( member @ SV159 @ SV427 @ SY2510 ) )
| ~ ! [SY2685: mworld] :
( ~ ( mrel @ SY2682 @ SY2685 )
| ( member @ SV308 @ SV485 @ SY2685 ) ) ) ) )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1844,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV464: mworld] :
( ( ( ~ ! [SY2686: mworld] :
( ~ ( mrel @ SV464 @ SY2686 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2686 @ SY2513 )
| ( member @ SV159 @ SV427 @ SY2513 ) )
| ~ ! [SY2688: mworld] :
( ~ ( mrel @ SY2686 @ SY2688 )
| ( member @ SV308 @ SV485 @ SY2688 ) ) )
| ! [SY2689: mworld] :
( ~ ( mrel @ SY2686 @ SY2689 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2689 ) ) ) )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1845,plain,
! [SV237: mworld,SV79: mworld,SV309: $i,SV160: $i,SV504: mworld,SV365: mworld] :
( ( ( ~ ( mrel @ SV365 @ SV504 ) )
= $true )
| ( ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SV504 )
= $true )
| ( ( mrel @ SV365 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) )
= $true )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1725]) ).
thf(1846,plain,
! [SV237: mworld,SV79: mworld,SV309: $i,SV160: $i,SV486: mworld,SV365: mworld] :
( ( ( mrel @ SV365 @ SV486 )
= $false )
| ( ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SV486 )
= $true )
| ( ( qmltpeq @ SV160 @ SV309 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) )
= $false )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1847,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV487: mworld,SV366: mworld] :
( ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( ~ ! [SY2690: mworld] :
( ~ ( mrel @ SV487 @ SY2690 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2690 ) )
| ~ ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) ) )
= $true )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1848,plain,
! [SV80: mworld,SV238: mworld,SV310: $i,SV161: $i,SV428: $i,SV488: mworld,SV366: mworld] :
( ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2693: mworld] :
( ~ ( mrel @ SV488 @ SY2693 )
| ( member @ SV428 @ SV161 @ SY2693 ) )
| ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
| ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1849,plain,
! [SV239: mworld,SV81: mworld,SV311: $i,SV162: $i,SV505: mworld,SV367: mworld] :
( ( ( ~ ( mrel @ SV367 @ SV505 ) )
= $true )
| ( ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SV505 )
= $true )
| ( ( mrel @ SV367 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) )
= $true )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1729]) ).
thf(1850,plain,
! [SV239: mworld,SV81: mworld,SV311: $i,SV162: $i,SV489: mworld,SV367: mworld] :
( ( ( mrel @ SV367 @ SV489 )
= $false )
| ( ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SV489 )
= $true )
| ( ( qmltpeq @ SV162 @ SV311 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) )
= $false )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1730]) ).
thf(1851,plain,
! [SV240: mworld,SV82: mworld,SV312: $i,SV163: $i,SV506: mworld,SV368: mworld] :
( ( ( ~ ( mrel @ SV368 @ SV506 ) )
= $true )
| ( ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SV506 )
= $true )
| ( ( mrel @ SV368 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) )
= $true )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1731]) ).
thf(1852,plain,
! [SV240: mworld,SV82: mworld,SV312: $i,SV163: $i,SV490: mworld,SV368: mworld] :
( ( ( mrel @ SV368 @ SV490 )
= $false )
| ( ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SV490 )
= $true )
| ( ( qmltpeq @ SV163 @ SV312 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) )
= $false )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1853,plain,
! [SV241: mworld,SV83: mworld,SV313: $i,SV164: $i,SV507: mworld,SV369: mworld] :
( ( ( ~ ( mrel @ SV369 @ SV507 ) )
= $true )
| ( ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SV507 )
= $true )
| ( ( mrel @ SV369 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) )
= $true )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1733]) ).
thf(1854,plain,
! [SV241: mworld,SV83: mworld,SV313: $i,SV164: $i,SV491: mworld,SV369: mworld] :
( ( ( mrel @ SV369 @ SV491 )
= $false )
| ( ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SV491 )
= $true )
| ( ( qmltpeq @ SV164 @ SV313 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) )
= $false )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1734]) ).
thf(1855,plain,
! [SV3: mworld,SV165: mworld,SV314: mworld,SV466: $i,SV374: $i,SV245: $i,SV86: $i,SV492: mworld,SV429: mworld] :
( ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( ~ ! [SY2696: mworld] :
( ~ ( mrel @ SV492 @ SY2696 )
| ( qmltpeq @ SV86 @ SV245 @ SY2696 ) )
| ! [SY2697: mworld] :
( ~ ( mrel @ SV492 @ SY2697 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SY2697 ) ) )
= $true )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1856,plain,
! [SV246: $i,SV87: $i,SV166: mworld,SV4: mworld,SV375: mworld] :
( ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( ~ ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1736]) ).
thf(1857,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV375: mworld] :
( ( ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1858,plain,
! [SV4: mworld,SV166: mworld,SV87: $i,SV246: $i,SV376: mworld] :
( ( ( ! [SY2298: mworld] :
( ~ ( mrel @ SV376 @ SY2298 )
| ( member @ SV246 @ universal_class @ SY2298 ) ) )
= $false )
| ( ( ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1859,plain,
! [SV88: $i,SV247: $i,SV377: $i,SV315: mworld,SV167: mworld,SV5: mworld,SV430: mworld] :
( ( ( ~ ( mrel @ SV430 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) ) )
= $false )
| ( ( ! [SY2529: mworld] :
( ~ ( mrel @ SV430 @ SY2529 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SY2529 ) ) )
= $true )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1860,plain,
! [SV430: mworld,SV377: $i,SV315: mworld,SV167: mworld,SV5: mworld,SV247: $i,SV88: $i] :
( ( ( qmltpeq @ SV88 @ SV247 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) )
= $false )
| ( ( ! [SY2529: mworld] :
( ~ ( mrel @ SV430 @ SY2529 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SY2529 ) ) )
= $true )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1861,plain,
! [SV6: mworld,SV168: mworld,SV316: mworld,SV467: $i,SV378: $i,SV248: $i,SV89: $i,SV493: mworld,SV431: mworld] :
( ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( ~ ! [SY2698: mworld] :
( ~ ( mrel @ SV493 @ SY2698 )
| ( qmltpeq @ SV89 @ SV248 @ SY2698 ) )
| ! [SY2699: mworld] :
( ~ ( mrel @ SV493 @ SY2699 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SY2699 ) ) )
= $true )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1740]) ).
thf(1862,plain,
! [SV90: $i,SV249: $i,SV379: $i,SV317: mworld,SV169: mworld,SV7: mworld,SV432: mworld] :
( ( ( ~ ( mrel @ SV432 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) ) )
= $false )
| ( ( ! [SY2535: mworld] :
( ~ ( mrel @ SV432 @ SY2535 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SY2535 ) ) )
= $true )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1741]) ).
thf(1863,plain,
! [SV432: mworld,SV379: $i,SV317: mworld,SV169: mworld,SV7: mworld,SV249: $i,SV90: $i] :
( ( ( qmltpeq @ SV90 @ SV249 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) )
= $false )
| ( ( ! [SY2535: mworld] :
( ~ ( mrel @ SV432 @ SY2535 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SY2535 ) ) )
= $true )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1741]) ).
thf(1864,plain,
! [SV91: $i,SV250: $i,SV170: mworld,SV8: mworld,SV380: mworld] :
( ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( ~ ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(1865,plain,
! [SV170: mworld,SV8: mworld,SV250: $i,SV91: $i,SV380: mworld] :
( ( ( ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $false )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1866,plain,
! [SV8: mworld,SV170: mworld,SV250: $i,SV508: $i,SV91: $i,SV381: mworld] :
( ( ( ~ ( ~ ! [SY2713: mworld] :
( ~ ( mrel @ SV381 @ SY2713 )
| ( member @ SV91 @ SV508 @ SY2713 ) )
| ~ ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) ) )
= $false )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1867,plain,
! [SV171: mworld,SV9: mworld,SV251: $i,SV92: $i,SV494: mworld,SV318: mworld] :
( ( ( mrel @ SV318 @ SV494 )
= $false )
| ( ( qmltpeq @ ( complement @ SV92 ) @ ( complement @ SV251 ) @ SV494 )
= $true )
| ( ( mrel @ SV318 @ ( sK12_SY2066 @ SV9 @ SV171 @ SV251 @ SV92 @ SV318 ) )
= $true )
| ( ( mrel @ SV171 @ SV318 )
= $false )
| ( ( mrel @ SV9 @ SV171 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1868,plain,
! [SV96: $i,SV254: $i,SV383: $i,SV321: mworld,SV175: mworld,SV13: mworld,SV434: mworld] :
( ( ( ~ ( mrel @ SV434 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) ) )
= $false )
| ( ( ! [SY2537: mworld] :
( ~ ( mrel @ SV434 @ SY2537 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SY2537 ) ) )
= $true )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1747]) ).
thf(1869,plain,
! [SV434: mworld,SV383: $i,SV321: mworld,SV175: mworld,SV13: mworld,SV254: $i,SV96: $i] :
( ( ( qmltpeq @ SV96 @ SV254 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) )
= $false )
| ( ( ! [SY2537: mworld] :
( ~ ( mrel @ SV434 @ SY2537 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SY2537 ) ) )
= $true )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1747]) ).
thf(1870,plain,
! [SV176: mworld,SV14: mworld,SV255: $i,SV97: $i,SV495: mworld,SV322: mworld] :
( ( ( mrel @ SV322 @ SV495 )
= $false )
| ( ( qmltpeq @ ( power_class @ SV97 ) @ ( power_class @ SV255 ) @ SV495 )
= $true )
| ( ( mrel @ SV322 @ ( sK13_SY2074 @ SV14 @ SV176 @ SV255 @ SV97 @ SV322 ) )
= $true )
| ( ( mrel @ SV176 @ SV322 )
= $false )
| ( ( mrel @ SV14 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1871,plain,
! [SV98: $i,SV256: $i,SV177: mworld,SV15: mworld,SV323: mworld] :
( ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( ~ ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1750]) ).
thf(1872,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV323: mworld] :
( ( ( ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
= $false )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1751]) ).
thf(1873,plain,
! [SV179: mworld,SV17: mworld,SV258: $i,SV100: $i,SV496: mworld,SV325: mworld] :
( ( ( mrel @ SV325 @ SV496 )
= $false )
| ( ( qmltpeq @ ( range_of @ SV100 ) @ ( range_of @ SV258 ) @ SV496 )
= $true )
| ( ( mrel @ SV325 @ ( sK14_SY2079 @ SV17 @ SV179 @ SV258 @ SV100 @ SV325 ) )
= $true )
| ( ( mrel @ SV179 @ SV325 )
= $false )
| ( ( mrel @ SV17 @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1752]) ).
thf(1874,plain,
! [SV20: mworld,SV182: mworld,SV326: mworld,SV259: $i,SV103: $i,SV384: $i,SV471: mworld] :
( ( ( ~ ! [SY2641: mworld] :
( ~ ( mrel @ SV471 @ SY2641 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2641 ) ) )
= $true )
| ( ( ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) )
| ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1754]) ).
thf(1875,plain,
! [SV20: mworld,SV182: mworld,SV326: mworld,SV259: $i,SV103: $i,SV384: $i,SV472: mworld] :
( ( ( ~ ( ! [SY2644: mworld] :
( ~ ( mrel @ SV472 @ SY2644 )
| ( member @ SV384 @ SV103 @ SY2644 ) )
| ! [SY2645: mworld] :
( ~ ( mrel @ SV472 @ SY2645 )
| ( member @ SV384 @ SV259 @ SY2645 ) ) ) )
= $true )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1755]) ).
thf(1876,plain,
! [SV21: mworld,SV183: mworld,SV327: mworld,SV473: $i,SV385: $i,SV260: $i,SV104: $i,SV497: mworld,SV435: mworld] :
( ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( ~ ! [SY2700: mworld] :
( ~ ( mrel @ SV497 @ SY2700 )
| ( qmltpeq @ SV104 @ SV260 @ SY2700 ) )
| ! [SY2701: mworld] :
( ~ ( mrel @ SV497 @ SY2701 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SY2701 ) ) )
= $true )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1877,plain,
! [SV106: $i,SV261: $i,SV185: mworld,SV23: mworld,SV386: mworld] :
( ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( ~ ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1757]) ).
thf(1878,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV386: mworld] :
( ( ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) )
= $false )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1758]) ).
thf(1879,plain,
! [SV23: mworld,SV185: mworld,SV261: $i,SV106: $i,SV387: mworld] :
( ( ( ! [SY2341: mworld] :
( ~ ( mrel @ SV387 @ SY2341 )
| ( member @ SV106 @ universal_class @ SY2341 ) ) )
= $false )
| ( ( ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1759]) ).
thf(1880,plain,
! [SV107: $i,SV262: $i,SV388: $i,SV328: mworld,SV186: mworld,SV24: mworld,SV436: mworld] :
( ( ( ~ ( mrel @ SV436 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) ) )
= $false )
| ( ( ! [SY2543: mworld] :
( ~ ( mrel @ SV436 @ SY2543 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SY2543 ) ) )
= $true )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1881,plain,
! [SV436: mworld,SV388: $i,SV328: mworld,SV186: mworld,SV24: mworld,SV262: $i,SV107: $i] :
( ( ( qmltpeq @ SV107 @ SV262 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) )
= $false )
| ( ( ! [SY2543: mworld] :
( ~ ( mrel @ SV436 @ SY2543 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SY2543 ) ) )
= $true )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1882,plain,
! [SV25: mworld,SV187: mworld,SV329: mworld,SV389: $i,SV263: $i,SV108: $i,SV437: mworld] :
( ( ( ~ ! [SY2544: mworld] :
( ~ ( mrel @ SV437 @ SY2544 )
| ( qmltpeq @ SV108 @ SV263 @ SY2544 ) ) )
= $true )
| ( ( ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1761]) ).
thf(1883,plain,
! [SV264: $i,SV109: $i,SV188: mworld,SV26: mworld,SV390: mworld] :
( ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( ~ ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1884,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV390: mworld] :
( ( ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1763]) ).
thf(1885,plain,
! [SV26: mworld,SV188: mworld,SV109: $i,SV264: $i,SV391: mworld] :
( ( ( ! [SY2355: mworld] :
( ~ ( mrel @ SV391 @ SY2355 )
| ( member @ SV264 @ universal_class @ SY2355 ) ) )
= $false )
| ( ( ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1764]) ).
thf(1886,plain,
! [SV110: $i,SV265: $i,SV392: $i,SV330: mworld,SV189: mworld,SV27: mworld,SV438: mworld] :
( ( ( ~ ( mrel @ SV438 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) ) )
= $false )
| ( ( ! [SY2548: mworld] :
( ~ ( mrel @ SV438 @ SY2548 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SY2548 ) ) )
= $true )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1765]) ).
thf(1887,plain,
! [SV438: mworld,SV392: $i,SV330: mworld,SV189: mworld,SV27: mworld,SV265: $i,SV110: $i] :
( ( ( qmltpeq @ SV110 @ SV265 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) )
= $false )
| ( ( ! [SY2548: mworld] :
( ~ ( mrel @ SV438 @ SY2548 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SY2548 ) ) )
= $true )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1765]) ).
thf(1888,plain,
! [SV111: $i,SV266: $i,SV393: $i,SV331: mworld,SV190: mworld,SV28: mworld,SV439: mworld] :
( ( ( ~ ( mrel @ SV439 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) ) )
= $false )
| ( ( ! [SY2550: mworld] :
( ~ ( mrel @ SV439 @ SY2550 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SY2550 ) ) )
= $true )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1889,plain,
! [SV439: mworld,SV393: $i,SV331: mworld,SV190: mworld,SV28: mworld,SV266: $i,SV111: $i] :
( ( ( qmltpeq @ SV111 @ SV266 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) )
= $false )
| ( ( ! [SY2550: mworld] :
( ~ ( mrel @ SV439 @ SY2550 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SY2550 ) ) )
= $true )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1890,plain,
! [SV192: mworld,SV31: mworld,SV268: $i,SV113: $i,SV498: mworld,SV333: mworld] :
( ( ( mrel @ SV333 @ SV498 )
= $false )
| ( ( qmltpeq @ ( inverse @ SV113 ) @ ( inverse @ SV268 ) @ SV498 )
= $true )
| ( ( mrel @ SV333 @ ( sK15_SY2113 @ SV31 @ SV192 @ SV268 @ SV113 @ SV333 ) )
= $true )
| ( ( mrel @ SV192 @ SV333 )
= $false )
| ( ( mrel @ SV31 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1767]) ).
thf(1891,plain,
! [SV32: mworld,SV193: mworld,SV334: mworld,SV394: $i,SV269: $i,SV114: $i,SV440: mworld] :
( ( ( ~ ! [SY2551: mworld] :
( ~ ( mrel @ SV440 @ SY2551 )
| ( qmltpeq @ SV114 @ SV269 @ SY2551 ) ) )
= $true )
| ( ( ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1769]) ).
thf(1892,plain,
! [SV115: $i,SV270: $i,SV194: mworld,SV33: mworld,SV395: mworld] :
( ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( ! [SY2370: mworld] :
( ~ ( mrel @ SV395 @ SY2370 )
| ! [SY1791: $i,SY1792: mworld] :
( ~ ( mrel @ SY2370 @ SY1792 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY1792 @ SY840 )
| ( member @ SY1791 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY1792 @ SY1794 )
| ( member @ SY1791 @ SV270 @ SY1794 ) ) ) ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1893,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV513: mworld,SV395: mworld] :
( ( ( ~ ( mrel @ SV395 @ SV513 )
| ! [SY2715: $i,SY2716: mworld] :
( ~ ( mrel @ SV513 @ SY2716 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY2716 @ SY840 )
| ( member @ SY2715 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY2716 @ SY1794 )
| ( member @ SY2715 @ SV270 @ SY1794 ) ) ) )
= $true )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1771]) ).
thf(1894,plain,
! [SV115: $i,SV270: $i,SV194: mworld,SV33: mworld,SV396: mworld] :
( ( ( mrel @ SV396 @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $true )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(1895,plain,
! [SV396: mworld,SV115: $i,SV270: $i,SV194: mworld,SV33: mworld] :
( ( ( ! [SY2719: mworld] :
( ~ ( mrel @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) @ SY2719 )
| ~ ! [SY2720: mworld] :
( ~ ( mrel @ SY2719 @ SY2720 )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SY2720 ) )
| ! [SY2721: mworld] :
( ~ ( mrel @ SY2719 @ SY2721 )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV270 @ SY2721 ) ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1773]) ).
thf(1896,plain,
! [SV116: $i,SV271: $i,SV195: mworld,SV34: mworld,SV335: mworld] :
( ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( ~ ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1897,plain,
! [SV195: mworld,SV34: mworld,SV271: $i,SV116: $i,SV335: mworld] :
( ( ( ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
= $false )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(1898,plain,
! [SV196: mworld,SV35: mworld,SV272: $i,SV117: $i,SV499: mworld,SV336: mworld] :
( ( ( mrel @ SV336 @ SV499 )
= $false )
| ( ( qmltpeq @ ( second @ SV117 ) @ ( second @ SV272 ) @ SV499 )
= $true )
| ( ( mrel @ SV336 @ ( sK16_SY2123 @ SV35 @ SV196 @ SV272 @ SV117 @ SV336 ) )
= $true )
| ( ( mrel @ SV196 @ SV336 )
= $false )
| ( ( mrel @ SV35 @ SV196 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(1899,plain,
! [SV118: $i,SV273: $i,SV397: $i,SV337: mworld,SV197: mworld,SV36: mworld,SV441: mworld] :
( ( ( ~ ( mrel @ SV441 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) ) )
= $false )
| ( ( ! [SY2555: mworld] :
( ~ ( mrel @ SV441 @ SY2555 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SY2555 ) ) )
= $true )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1778]) ).
thf(1900,plain,
! [SV441: mworld,SV397: $i,SV337: mworld,SV197: mworld,SV36: mworld,SV273: $i,SV118: $i] :
( ( ( qmltpeq @ SV118 @ SV273 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) )
= $false )
| ( ( ! [SY2555: mworld] :
( ~ ( mrel @ SV441 @ SY2555 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SY2555 ) ) )
= $true )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1778]) ).
thf(1901,plain,
! [SV119: $i,SV274: $i,SV398: $i,SV338: mworld,SV198: mworld,SV37: mworld,SV442: mworld] :
( ( ( ~ ( mrel @ SV442 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) ) )
= $false )
| ( ( ! [SY2557: mworld] :
( ~ ( mrel @ SV442 @ SY2557 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SY2557 ) ) )
= $true )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1779]) ).
thf(1902,plain,
! [SV442: mworld,SV398: $i,SV338: mworld,SV198: mworld,SV37: mworld,SV274: $i,SV119: $i] :
( ( ( qmltpeq @ SV119 @ SV274 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) )
= $false )
| ( ( ! [SY2557: mworld] :
( ~ ( mrel @ SV442 @ SY2557 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SY2557 ) ) )
= $true )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1779]) ).
thf(1903,plain,
! [SV39: mworld,SV200: mworld,SV339: mworld,SV400: $i,SV275: $i,SV121: $i,SV444: mworld] :
( ( ( ~ ! [SY2558: mworld] :
( ~ ( mrel @ SV444 @ SY2558 )
| ( qmltpeq @ SV121 @ SV275 @ SY2558 ) ) )
= $true )
| ( ( ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1780]) ).
thf(1904,plain,
! [SV122: $i,SV276: $i,SV401: $i,SV340: mworld,SV201: mworld,SV40: mworld,SV445: mworld] :
( ( ( ~ ( mrel @ SV445 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) ) )
= $false )
| ( ( ! [SY2562: mworld] :
( ~ ( mrel @ SV445 @ SY2562 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SY2562 ) ) )
= $true )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1781]) ).
thf(1905,plain,
! [SV445: mworld,SV401: $i,SV340: mworld,SV201: mworld,SV40: mworld,SV276: $i,SV122: $i] :
( ( ( qmltpeq @ SV122 @ SV276 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) )
= $false )
| ( ( ! [SY2562: mworld] :
( ~ ( mrel @ SV445 @ SY2562 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SY2562 ) ) )
= $true )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1781]) ).
thf(1906,plain,
! [SV123: $i,SV277: $i,SV402: $i,SV341: mworld,SV202: mworld,SV41: mworld,SV446: mworld] :
( ( ( ~ ( mrel @ SV446 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) ) )
= $false )
| ( ( ! [SY2564: mworld] :
( ~ ( mrel @ SV446 @ SY2564 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SY2564 ) ) )
= $true )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1782]) ).
thf(1907,plain,
! [SV446: mworld,SV402: $i,SV341: mworld,SV202: mworld,SV41: mworld,SV277: $i,SV123: $i] :
( ( ( qmltpeq @ SV123 @ SV277 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) )
= $false )
| ( ( ! [SY2564: mworld] :
( ~ ( mrel @ SV446 @ SY2564 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SY2564 ) ) )
= $true )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1782]) ).
thf(1908,plain,
! [SV42: mworld,SV203: mworld,SV342: mworld,SV403: $i,SV278: $i,SV124: $i,SV447: mworld] :
( ( ( ~ ! [SY2565: mworld] :
( ~ ( mrel @ SV447 @ SY2565 )
| ( qmltpeq @ SV124 @ SV278 @ SY2565 ) ) )
= $true )
| ( ( ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1783]) ).
thf(1909,plain,
! [SV126: $i,SV279: $i,SV405: $i,SV343: mworld,SV205: mworld,SV44: mworld,SV449: mworld] :
( ( ( ~ ( mrel @ SV449 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) ) )
= $false )
| ( ( ! [SY2569: mworld] :
( ~ ( mrel @ SV449 @ SY2569 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SY2569 ) ) )
= $true )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1910,plain,
! [SV449: mworld,SV405: $i,SV343: mworld,SV205: mworld,SV44: mworld,SV279: $i,SV126: $i] :
( ( ( qmltpeq @ SV126 @ SV279 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) )
= $false )
| ( ( ! [SY2569: mworld] :
( ~ ( mrel @ SV449 @ SY2569 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SY2569 ) ) )
= $true )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1911,plain,
! [SV127: $i,SV280: $i,SV206: mworld,SV45: mworld,SV344: mworld] :
( ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( ~ ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(1912,plain,
! [SV206: mworld,SV45: mworld,SV280: $i,SV127: $i,SV344: mworld] :
( ( ( ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
= $false )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(1913,plain,
! [SV46: mworld,SV207: mworld,SV345: mworld,SV406: $i,SV281: $i,SV128: $i,SV450: mworld] :
( ( ( ~ ! [SY2570: mworld] :
( ~ ( mrel @ SV450 @ SY2570 )
| ( qmltpeq @ SV128 @ SV281 @ SY2570 ) ) )
= $true )
| ( ( ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1787]) ).
thf(1914,plain,
! [SV243: mworld,SV370: $i,SV373: mworld] :
( ( ( ! [SY2287: mworld] :
( ~ ( mrel @ SV373 @ SY2287 )
| ( qmltpeq @ SV370 @ null_class @ SY2287 ) ) )
= $true )
| ( ( ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ SV373 @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1788]) ).
thf(1915,plain,
! [SV243: mworld,SV370: $i,SV514: mworld,SV373: mworld] :
( ( ( ~ ( mrel @ SV373 @ SV514 )
| ( qmltpeq @ SV370 @ null_class @ SV514 ) )
= $true )
| ( ( ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( member @ SV370 @ universal_class @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $false )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1789]) ).
thf(1916,plain,
! [SV130: $i,SV282: $i,SV209: mworld,SV48: mworld,SV407: mworld] :
( ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( ~ ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1790]) ).
thf(1917,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV407: mworld] :
( ( ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) )
= $false )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(1918,plain,
! [SV48: mworld,SV209: mworld,SV282: $i,SV130: $i,SV408: mworld] :
( ( ( ! [SY2411: mworld] :
( ~ ( mrel @ SV408 @ SY2411 )
| ( subclass @ SV130 @ SV282 @ SY2411 ) ) )
= $false )
| ( ( ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1792]) ).
thf(1919,plain,
! [SV211: mworld,SV50: mworld,SV283: $i,SV132: $i,SV500: mworld,SV346: mworld] :
( ( ( mrel @ SV346 @ SV500 )
= $false )
| ( ( qmltpeq @ ( singleton @ SV132 ) @ ( singleton @ SV283 ) @ SV500 )
= $true )
| ( ( mrel @ SV346 @ ( sK17_SY2163 @ SV50 @ SV211 @ SV283 @ SV132 @ SV346 ) )
= $true )
| ( ( mrel @ SV211 @ SV346 )
= $false )
| ( ( mrel @ SV50 @ SV211 )
= $false )
| ( ( mrel @ mactual @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1793]) ).
thf(1920,plain,
! [SV212: mworld,SV51: mworld,SV133: $i,SV284: $i,SV501: mworld,SV347: mworld] :
( ( ( mrel @ SV347 @ SV501 )
= $false )
| ( ( qmltpeq @ SV284 @ SV133 @ SV501 )
= $true )
| ( ( mrel @ SV347 @ ( sK18_SY2165 @ SV51 @ SV212 @ SV284 @ SV133 @ SV347 ) )
= $true )
| ( ( mrel @ SV212 @ SV347 )
= $false )
| ( ( mrel @ SV51 @ SV212 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1795]) ).
thf(1921,plain,
! [SV451: $i,SV372: mworld,SV465: mworld] :
( ( ( ~ ( mrel @ SV465 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) )
| ( inductive @ SV451 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) ) )
= $false )
| ( ( ! [SY2631: mworld] :
( ~ ( mrel @ SV465 @ SY2631 )
| ( subclass @ sK3_SX0 @ SV451 @ SY2631 ) ) )
= $true )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1797]) ).
thf(1922,plain,
! [SV213: mworld,SV52: mworld,SV285: $i,SV134: $i,SV502: mworld,SV348: mworld] :
( ( ( mrel @ SV348 @ SV502 )
= $false )
| ( ( qmltpeq @ ( successor @ SV134 ) @ ( successor @ SV285 ) @ SV502 )
= $true )
| ( ( mrel @ SV348 @ ( sK19_SY2167 @ SV52 @ SV213 @ SV285 @ SV134 @ SV348 ) )
= $true )
| ( ( mrel @ SV213 @ SV348 )
= $false )
| ( ( mrel @ SV52 @ SV213 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1798]) ).
thf(1923,plain,
! [SV54: mworld,SV215: mworld,SV349: mworld,SV409: $i,SV286: $i,SV136: $i,SV452: mworld] :
( ( ( ~ ! [SY2576: mworld] :
( ~ ( mrel @ SV452 @ SY2576 )
| ( qmltpeq @ SV136 @ SV286 @ SY2576 ) ) )
= $true )
| ( ( ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1800]) ).
thf(1924,plain,
! [SV55: mworld,SV137: $i,SV515: mworld,SV287: mworld] :
( ( ( ~ ( mrel @ SV287 @ SV515 )
| ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SV515 ) )
= $true )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1801]) ).
thf(1925,plain,
! [SV55: mworld,SV137: $i,SV516: mworld,SV287: mworld] :
( ( ( ~ ( mrel @ SV287 @ SV516 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SV516 ) )
= $true )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(1926,plain,
! [SV55: mworld,SV137: $i,SV509: mworld,SV287: mworld] :
( ( ( ~ ( mrel @ SV287 @ SV509 ) )
= $true )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SV509 )
= $true )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1803]) ).
thf(1927,plain,
! [SV55: mworld,SV137: $i,SV510: mworld,SV287: mworld] :
( ( ( ~ ( mrel @ SV287 @ SV510 ) )
= $true )
| ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SV510 )
= $true )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1804]) ).
thf(1928,plain,
! [SV55: mworld,SV137: $i,SV288: mworld] :
( ( ( ! [SY1883: mworld] :
( ~ ( mrel @ SV288 @ SY1883 )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SY1883 ) ) )
= $false )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1805]) ).
thf(1929,plain,
! [SV137: $i,SV55: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) ) )
= $false )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1806]) ).
thf(1930,plain,
! [SV138: $i,SV289: $i,SV216: mworld,SV56: mworld,SV410: mworld] :
( ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( ! [SY2419: mworld] :
( ~ ( mrel @ SV410 @ SY2419 )
| ! [SY1888: $i,SY1889: mworld] :
( ~ ( mrel @ SY2419 @ SY1889 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY1889 @ SY984 )
| ( member @ SY1888 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY1889 @ SY1891 )
| ( member @ SY1888 @ SV289 @ SY1891 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1807]) ).
thf(1931,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV517: mworld,SV410: mworld] :
( ( ( ~ ( mrel @ SV410 @ SV517 )
| ! [SY2722: $i,SY2723: mworld] :
( ~ ( mrel @ SV517 @ SY2723 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY2723 @ SY984 )
| ( member @ SY2722 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY2723 @ SY1891 )
| ( member @ SY2722 @ SV289 @ SY1891 ) ) ) ) )
= $true )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(1932,plain,
! [SV138: $i,SV289: $i,SV216: mworld,SV56: mworld,SV411: mworld] :
( ( ( mrel @ SV411 @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1809]) ).
thf(1933,plain,
! [SV411: mworld,SV138: $i,SV289: $i,SV216: mworld,SV56: mworld] :
( ( ( ! [SY2726: mworld] :
( ~ ( mrel @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) @ SY2726 )
| ~ ~ ( ~ ! [SY2727: mworld] :
( ~ ( mrel @ SY2726 @ SY2727 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SY2727 ) )
| ~ ! [SY2728: mworld] :
( ~ ( mrel @ SY2726 @ SY2728 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SY2728 ) ) ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1810]) ).
thf(1934,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV412: mworld] :
( ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( ~ ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1811]) ).
thf(1935,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV412: mworld] :
( ( ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1812]) ).
thf(1936,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV413: mworld] :
( ( ( ! [SY2434: mworld] :
( ~ ( mrel @ SV413 @ SY2434 )
| ( member @ SV139 @ universal_class @ SY2434 ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1813]) ).
thf(1937,plain,
! [SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ~ ! [SY2650: mworld] :
( ~ ( mrel @ SV479 @ SY2650 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2650 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1814]) ).
thf(1938,plain,
! [SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV291: $i,SV140: $i,SV480: mworld] :
( ( ( ~ ~ ( ~ ! [SY2654: mworld] :
( ~ ( mrel @ SV480 @ SY2654 )
| ( member @ SV140 @ universal_class @ SY2654 ) )
| ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1815]) ).
thf(1939,plain,
! [SV415: $i,SV141: $i,SV292: $i,SV351: mworld,SV219: mworld,SV60: mworld,SV453: mworld] :
( ( ( ~ ( mrel @ SV453 @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) ) )
= $false )
| ( ( ! [SY2580: mworld] :
( ~ ( mrel @ SV453 @ SY2580 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SY2580 ) ) )
= $true )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1816]) ).
thf(1940,plain,
! [SV453: mworld,SV351: mworld,SV219: mworld,SV60: mworld,SV292: $i,SV141: $i,SV415: $i] :
( ( ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) )
= $false )
| ( ( ! [SY2580: mworld] :
( ~ ( mrel @ SV453 @ SY2580 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SY2580 ) ) )
= $true )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1816]) ).
thf(1941,plain,
! [SV61: mworld,SV142: $i,SV518: mworld,SV293: mworld] :
( ( ( ~ ( mrel @ SV293 @ SV518 )
| ( member @ null_class @ SV142 @ SV518 ) )
= $true )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1817]) ).
thf(1942,plain,
! [SV61: mworld,SV142: $i,SV519: mworld,SV293: mworld] :
( ( ( ~ ( mrel @ SV293 @ SV519 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SV519 ) )
= $true )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(1943,plain,
! [SV61: mworld,SV142: $i,SV511: mworld,SV293: mworld] :
( ( ( ~ ( mrel @ SV293 @ SV511 ) )
= $true )
| ( ( member @ null_class @ SV142 @ SV511 )
= $true )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1819]) ).
thf(1944,plain,
! [SV61: mworld,SV142: $i,SV512: mworld,SV293: mworld] :
( ( ( ~ ( mrel @ SV293 @ SV512 ) )
= $true )
| ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SV512 )
= $true )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1820]) ).
thf(1945,plain,
! [SV61: mworld,SV142: $i,SV294: mworld] :
( ( ( ! [SY1930: mworld] :
( ~ ( mrel @ SV294 @ SY1930 )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SY1930 ) ) )
= $false )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1821]) ).
thf(1946,plain,
! [SV142: $i,SV61: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) ) )
= $false )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1822]) ).
thf(1947,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV454: mworld] :
( ( ( ! [SY2658: mworld] :
( ~ ( mrel @ SV454 @ SY2658 )
| ~ ! [SY2659: mworld] :
( ~ ( mrel @ SY2658 @ SY2659 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2659 ) )
| ~ ( ~ ! [SY2660: mworld] :
( ~ ( mrel @ SY2658 @ SY2660 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2660 ) )
| ~ ! [SY2661: mworld] :
( ~ ( mrel @ SY2658 @ SY2661 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2661 ) ) ) ) )
= $true )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1823]) ).
thf(1948,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV454: mworld] :
( ( ( ! [SY2662: mworld] :
( ~ ( mrel @ SV454 @ SY2662 )
| ~ ~ ( ~ ! [SY2663: mworld] :
( ~ ( mrel @ SY2662 @ SY2663 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2663 ) )
| ~ ! [SY2664: mworld] :
( ~ ( mrel @ SY2662 @ SY2664 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2664 ) ) )
| ! [SY2665: mworld] :
( ~ ( mrel @ SY2662 @ SY2665 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2665 ) ) ) )
= $true )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1824]) ).
thf(1949,plain,
! [SV221: mworld,SV63: mworld,SV296: $i,SV144: $i,SV503: mworld,SV353: mworld] :
( ( ( mrel @ SV353 @ SV503 )
= $false )
| ( ( qmltpeq @ ( rotate @ SV144 ) @ ( rotate @ SV296 ) @ SV503 )
= $true )
| ( ( mrel @ SV353 @ ( sK20_SY2200 @ SV63 @ SV221 @ SV296 @ SV144 @ SV353 ) )
= $true )
| ( ( mrel @ SV221 @ SV353 )
= $false )
| ( ( mrel @ SV63 @ SV221 )
= $false )
| ( ( mrel @ mactual @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1825]) ).
thf(1950,plain,
! [SV145: $i,SV64: mworld,SV520: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV520 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ universal_class @ SV520 ) )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1827]) ).
thf(1951,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV222 @ SY2633 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2633 ) )
| ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV222 @ SY2634 )
| ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2634 ) ) )
= $false )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1828]) ).
thf(1952,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ~ ! [SY2710: mworld] :
( ~ ( mrel @ SV222 @ SY2710 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ universal_class @ SY2710 ) )
| ~ ~ ( ~ ! [SY2711: mworld] :
( ~ ( mrel @ SV222 @ SY2711 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2711 ) )
| ~ ! [SY2712: mworld] :
( ~ ( mrel @ SV222 @ SY2712 )
| ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2712 ) ) ) )
= $false )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(1953,plain,
! [SV146: $i,SV297: $i,SV223: mworld,SV65: mworld,SV417: mworld] :
( ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( ~ ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1830]) ).
thf(1954,plain,
! [SV223: mworld,SV65: mworld,SV146: $i,SV297: $i,SV417: mworld] :
( ( ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1831]) ).
thf(1955,plain,
! [SV65: mworld,SV223: mworld,SV146: $i,SV297: $i,SV418: mworld] :
( ( ( ! [SY2464: mworld] :
( ~ ( mrel @ SV418 @ SY2464 )
| ( member @ SV297 @ universal_class @ SY2464 ) ) )
= $false )
| ( ( ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1832]) ).
thf(1956,plain,
! [SV147: $i,SV298: $i,SV419: $i,SV354: mworld,SV224: mworld,SV66: mworld,SV456: mworld] :
( ( ( ~ ( mrel @ SV456 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) ) )
= $false )
| ( ( ! [SY2591: mworld] :
( ~ ( mrel @ SV456 @ SY2591 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SY2591 ) ) )
= $true )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(1957,plain,
! [SV456: mworld,SV419: $i,SV354: mworld,SV224: mworld,SV66: mworld,SV298: $i,SV147: $i] :
( ( ( qmltpeq @ SV147 @ SV298 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) )
= $false )
| ( ( ! [SY2591: mworld] :
( ~ ( mrel @ SV456 @ SY2591 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SY2591 ) ) )
= $true )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(1958,plain,
! [SV149: $i,SV299: $i,SV420: $i,SV355: mworld,SV226: mworld,SV68: mworld,SV457: mworld] :
( ( ( ~ ( mrel @ SV457 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) ) )
= $false )
| ( ( ! [SY2593: mworld] :
( ~ ( mrel @ SV457 @ SY2593 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SY2593 ) ) )
= $true )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1834]) ).
thf(1959,plain,
! [SV457: mworld,SV420: $i,SV355: mworld,SV226: mworld,SV68: mworld,SV299: $i,SV149: $i] :
( ( ( qmltpeq @ SV149 @ SV299 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) )
= $false )
| ( ( ! [SY2593: mworld] :
( ~ ( mrel @ SV457 @ SY2593 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SY2593 ) ) )
= $true )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1834]) ).
thf(1960,plain,
! [SV150: $i,SV300: $i,SV421: $i,SV356: mworld,SV227: mworld,SV69: mworld,SV458: mworld] :
( ( ( ~ ( mrel @ SV458 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) ) )
= $false )
| ( ( ! [SY2595: mworld] :
( ~ ( mrel @ SV458 @ SY2595 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SY2595 ) ) )
= $true )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(1961,plain,
! [SV458: mworld,SV421: $i,SV356: mworld,SV227: mworld,SV69: mworld,SV300: $i,SV150: $i] :
( ( ( qmltpeq @ SV150 @ SV300 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) )
= $false )
| ( ( ! [SY2595: mworld] :
( ~ ( mrel @ SV458 @ SY2595 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SY2595 ) ) )
= $true )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(1962,plain,
! [SV151: $i,SV301: $i,SV422: $i,SV357: mworld,SV228: mworld,SV70: mworld,SV459: mworld] :
( ( ( ~ ( mrel @ SV459 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) ) )
= $false )
| ( ( ! [SY2597: mworld] :
( ~ ( mrel @ SV459 @ SY2597 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SY2597 ) ) )
= $true )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1836]) ).
thf(1963,plain,
! [SV459: mworld,SV422: $i,SV357: mworld,SV228: mworld,SV70: mworld,SV301: $i,SV151: $i] :
( ( ( qmltpeq @ SV151 @ SV301 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) )
= $false )
| ( ( ! [SY2597: mworld] :
( ~ ( mrel @ SV459 @ SY2597 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SY2597 ) ) )
= $true )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1836]) ).
thf(1964,plain,
! [SV71: mworld,SV229: mworld,SV358: mworld,SV423: $i,SV302: $i,SV152: $i,SV460: mworld] :
( ( ( ~ ! [SY2598: mworld] :
( ~ ( mrel @ SV460 @ SY2598 )
| ( qmltpeq @ SV152 @ SV302 @ SY2598 ) ) )
= $true )
| ( ( ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1837]) ).
thf(1965,plain,
! [SV155: $i,SV304: $i,SV424: $i,SV360: mworld,SV232: mworld,SV74: mworld,SV461: mworld] :
( ( ( ~ ( mrel @ SV461 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) ) )
= $false )
| ( ( ! [SY2602: mworld] :
( ~ ( mrel @ SV461 @ SY2602 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SY2602 ) ) )
= $true )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(1966,plain,
! [SV461: mworld,SV424: $i,SV360: mworld,SV232: mworld,SV74: mworld,SV304: $i,SV155: $i] :
( ( ( qmltpeq @ SV155 @ SV304 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) )
= $false )
| ( ( ! [SY2602: mworld] :
( ~ ( mrel @ SV461 @ SY2602 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SY2602 ) ) )
= $true )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(1967,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV462: mworld] :
( ( ( ! [SY2666: mworld] :
( ~ ( mrel @ SV462 @ SY2666 )
| ~ ! [SY2667: mworld] :
( ~ ( mrel @ SY2666 @ SY2667 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2667 ) )
| ~ ( ~ ! [SY2490: mworld] :
( ~ ( mrel @ SY2666 @ SY2490 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2490 ) )
| ~ ! [SY2669: mworld] :
( ~ ( mrel @ SY2666 @ SY2669 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2669 ) ) ) ) )
= $true )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1839]) ).
thf(1968,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV462: mworld] :
( ( ( ! [SY2670: mworld] :
( ~ ( mrel @ SV462 @ SY2670 )
| ~ ~ ( ~ ! [SY2493: mworld] :
( ~ ( mrel @ SY2670 @ SY2493 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2493 ) )
| ~ ! [SY2672: mworld] :
( ~ ( mrel @ SY2670 @ SY2672 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2672 ) ) )
| ! [SY2673: mworld] :
( ~ ( mrel @ SY2670 @ SY2673 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2673 ) ) ) )
= $true )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1840]) ).
thf(1969,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV463: mworld] :
( ( ( ! [SY2674: mworld] :
( ~ ( mrel @ SV463 @ SY2674 )
| ~ ! [SY2675: mworld] :
( ~ ( mrel @ SY2674 @ SY2675 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2675 ) )
| ~ ( ~ ! [SY2500: mworld] :
( ~ ( mrel @ SY2674 @ SY2500 )
| ( member @ SV426 @ universal_class @ SY2500 ) )
| ~ ! [SY2677: mworld] :
( ~ ( mrel @ SY2674 @ SY2677 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2677 ) ) ) ) )
= $true )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1841]) ).
thf(1970,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV463: mworld] :
( ( ( ! [SY2678: mworld] :
( ~ ( mrel @ SV463 @ SY2678 )
| ~ ~ ( ~ ! [SY2503: mworld] :
( ~ ( mrel @ SY2678 @ SY2503 )
| ( member @ SV426 @ universal_class @ SY2503 ) )
| ~ ! [SY2680: mworld] :
( ~ ( mrel @ SY2678 @ SY2680 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2680 ) ) )
| ! [SY2681: mworld] :
( ~ ( mrel @ SY2678 @ SY2681 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2681 ) ) ) )
= $true )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1842]) ).
thf(1971,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV464: mworld] :
( ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV464 @ SY2682 )
| ~ ! [SY2683: mworld] :
( ~ ( mrel @ SY2682 @ SY2683 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2683 ) )
| ~ ( ~ ! [SY2510: mworld] :
( ~ ( mrel @ SY2682 @ SY2510 )
| ( member @ SV159 @ SV427 @ SY2510 ) )
| ~ ! [SY2685: mworld] :
( ~ ( mrel @ SY2682 @ SY2685 )
| ( member @ SV308 @ SV485 @ SY2685 ) ) ) ) )
= $true )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1843]) ).
thf(1972,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV464: mworld] :
( ( ( ! [SY2686: mworld] :
( ~ ( mrel @ SV464 @ SY2686 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2686 @ SY2513 )
| ( member @ SV159 @ SV427 @ SY2513 ) )
| ~ ! [SY2688: mworld] :
( ~ ( mrel @ SY2686 @ SY2688 )
| ( member @ SV308 @ SV485 @ SY2688 ) ) )
| ! [SY2689: mworld] :
( ~ ( mrel @ SY2686 @ SY2689 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2689 ) ) ) )
= $true )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1844]) ).
thf(1973,plain,
! [SV237: mworld,SV79: mworld,SV309: $i,SV160: $i,SV504: mworld,SV365: mworld] :
( ( ( mrel @ SV365 @ SV504 )
= $false )
| ( ( qmltpeq @ ( sum_class @ SV160 ) @ ( sum_class @ SV309 ) @ SV504 )
= $true )
| ( ( mrel @ SV365 @ ( sK22_SY2260 @ SV79 @ SV237 @ SV309 @ SV160 @ SV365 ) )
= $true )
| ( ( mrel @ SV237 @ SV365 )
= $false )
| ( ( mrel @ SV79 @ SV237 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1974,plain,
! [SV80: mworld,SV238: mworld,SV366: mworld,SV310: $i,SV161: $i,SV428: $i,SV487: mworld] :
( ( ( ~ ! [SY2690: mworld] :
( ~ ( mrel @ SV487 @ SY2690 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2690 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1847]) ).
thf(1975,plain,
! [SV80: mworld,SV238: mworld,SV366: mworld,SV310: $i,SV161: $i,SV428: $i,SV488: mworld] :
( ( ( ~ ~ ( ~ ! [SY2693: mworld] :
( ~ ( mrel @ SV488 @ SY2693 )
| ( member @ SV428 @ SV161 @ SY2693 ) )
| ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1848]) ).
thf(1976,plain,
! [SV239: mworld,SV81: mworld,SV311: $i,SV162: $i,SV505: mworld,SV367: mworld] :
( ( ( mrel @ SV367 @ SV505 )
= $false )
| ( ( qmltpeq @ ( domain_of @ SV162 ) @ ( domain_of @ SV311 ) @ SV505 )
= $true )
| ( ( mrel @ SV367 @ ( sK23_SY2271 @ SV81 @ SV239 @ SV311 @ SV162 @ SV367 ) )
= $true )
| ( ( mrel @ SV239 @ SV367 )
= $false )
| ( ( mrel @ SV81 @ SV239 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1977,plain,
! [SV240: mworld,SV82: mworld,SV312: $i,SV163: $i,SV506: mworld,SV368: mworld] :
( ( ( mrel @ SV368 @ SV506 )
= $false )
| ( ( qmltpeq @ ( first @ SV163 ) @ ( first @ SV312 ) @ SV506 )
= $true )
| ( ( mrel @ SV368 @ ( sK24_SY2273 @ SV82 @ SV240 @ SV312 @ SV163 @ SV368 ) )
= $true )
| ( ( mrel @ SV240 @ SV368 )
= $false )
| ( ( mrel @ SV82 @ SV240 )
= $false )
| ( ( mrel @ mactual @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1851]) ).
thf(1978,plain,
! [SV241: mworld,SV83: mworld,SV313: $i,SV164: $i,SV507: mworld,SV369: mworld] :
( ( ( mrel @ SV369 @ SV507 )
= $false )
| ( ( qmltpeq @ ( flip @ SV164 ) @ ( flip @ SV313 ) @ SV507 )
= $true )
| ( ( mrel @ SV369 @ ( sK25_SY2275 @ SV83 @ SV241 @ SV313 @ SV164 @ SV369 ) )
= $true )
| ( ( mrel @ SV241 @ SV369 )
= $false )
| ( ( mrel @ SV83 @ SV241 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1853]) ).
thf(1979,plain,
! [SV3: mworld,SV165: mworld,SV314: mworld,SV429: mworld,SV466: $i,SV374: $i,SV245: $i,SV86: $i,SV492: mworld] :
( ( ( ~ ! [SY2696: mworld] :
( ~ ( mrel @ SV492 @ SY2696 )
| ( qmltpeq @ SV86 @ SV245 @ SY2696 ) ) )
= $true )
| ( ( ! [SY2697: mworld] :
( ~ ( mrel @ SV492 @ SY2697 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SY2697 ) ) )
= $true )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1855]) ).
thf(1980,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV375: mworld] :
( ( ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) )
| ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) )
= $false )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1856]) ).
thf(1981,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV375: mworld] :
( ( ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) ) )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1857]) ).
thf(1982,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV375: mworld] :
( ( ( ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1857]) ).
thf(1983,plain,
! [SV246: $i,SV87: $i,SV166: mworld,SV4: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
| ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) ) )
= $false )
| ( ( ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1858]) ).
thf(1984,plain,
! [SV88: $i,SV247: $i,SV377: $i,SV315: mworld,SV167: mworld,SV5: mworld,SV430: mworld] :
( ( ( mrel @ SV430 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) )
= $true )
| ( ( ! [SY2529: mworld] :
( ~ ( mrel @ SV430 @ SY2529 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SY2529 ) ) )
= $true )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1859]) ).
thf(1985,plain,
! [SV315: mworld,SV167: mworld,SV5: mworld,SV247: $i,SV377: $i,SV88: $i,SV521: mworld,SV430: mworld] :
( ( ( ~ ( mrel @ SV430 @ SV521 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SV521 ) )
= $true )
| ( ( qmltpeq @ SV88 @ SV247 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) )
= $false )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1860]) ).
thf(1986,plain,
! [SV6: mworld,SV168: mworld,SV316: mworld,SV431: mworld,SV467: $i,SV378: $i,SV248: $i,SV89: $i,SV493: mworld] :
( ( ( ~ ! [SY2698: mworld] :
( ~ ( mrel @ SV493 @ SY2698 )
| ( qmltpeq @ SV89 @ SV248 @ SY2698 ) ) )
= $true )
| ( ( ! [SY2699: mworld] :
( ~ ( mrel @ SV493 @ SY2699 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SY2699 ) ) )
= $true )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1861]) ).
thf(1987,plain,
! [SV90: $i,SV249: $i,SV379: $i,SV317: mworld,SV169: mworld,SV7: mworld,SV432: mworld] :
( ( ( mrel @ SV432 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) )
= $true )
| ( ( ! [SY2535: mworld] :
( ~ ( mrel @ SV432 @ SY2535 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SY2535 ) ) )
= $true )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1862]) ).
thf(1988,plain,
! [SV317: mworld,SV169: mworld,SV7: mworld,SV249: $i,SV90: $i,SV379: $i,SV522: mworld,SV432: mworld] :
( ( ( ~ ( mrel @ SV432 @ SV522 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SV522 ) )
= $true )
| ( ( qmltpeq @ SV90 @ SV249 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) )
= $false )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1863]) ).
thf(1989,plain,
! [SV170: mworld,SV8: mworld,SV250: $i,SV91: $i,SV380: mworld] :
( ( ( ! [SY2314: $i] :
~ ~ ( ~ ! [SY2315: mworld] :
( ~ ( mrel @ SV380 @ SY2315 )
| ( member @ SV91 @ SY2314 @ SY2315 ) )
| ~ ! [SY2316: mworld] :
( ~ ( mrel @ SV380 @ SY2316 )
| ( member @ SY2314 @ SV250 @ SY2316 ) ) ) )
= $false )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1864]) ).
thf(1990,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV380: mworld] :
( ( ( ~ ~ ( ~ ! [SY2729: mworld] :
( ~ ( mrel @ SV380 @ SY2729 )
| ( member @ SV91 @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SY2729 ) )
| ~ ! [SY2730: mworld] :
( ~ ( mrel @ SV380 @ SY2730 )
| ( member @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SY2730 ) ) ) )
= $false )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1865]) ).
thf(1991,plain,
! [SV8: mworld,SV170: mworld,SV250: $i,SV508: $i,SV91: $i,SV381: mworld] :
( ( ( ~ ! [SY2713: mworld] :
( ~ ( mrel @ SV381 @ SY2713 )
| ( member @ SV91 @ SV508 @ SY2713 ) )
| ~ ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1866]) ).
thf(1992,plain,
! [SV96: $i,SV254: $i,SV383: $i,SV321: mworld,SV175: mworld,SV13: mworld,SV434: mworld] :
( ( ( mrel @ SV434 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) )
= $true )
| ( ( ! [SY2537: mworld] :
( ~ ( mrel @ SV434 @ SY2537 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SY2537 ) ) )
= $true )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1868]) ).
thf(1993,plain,
! [SV321: mworld,SV175: mworld,SV13: mworld,SV254: $i,SV96: $i,SV383: $i,SV523: mworld,SV434: mworld] :
( ( ( ~ ( mrel @ SV434 @ SV523 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SV523 ) )
= $true )
| ( ( qmltpeq @ SV96 @ SV254 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) )
= $false )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1869]) ).
thf(1994,plain,
! [SV98: $i,SV177: mworld,SV15: mworld,SV256: $i,SV323: mworld] :
( ( ( ! [SY2077: mworld] :
( ~ ( mrel @ SV323 @ SY2077 )
| ( function @ SV256 @ SY2077 ) ) )
= $false )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1871]) ).
thf(1995,plain,
! [SV256: $i,SV98: $i,SV15: mworld,SV177: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) )
| ( function @ SV256 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) ) )
= $false )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1872]) ).
thf(1996,plain,
! [SV20: mworld,SV182: mworld,SV326: mworld,SV259: $i,SV103: $i,SV384: $i,SV471: mworld] :
( ( ( ! [SY2641: mworld] :
( ~ ( mrel @ SV471 @ SY2641 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2641 ) ) )
= $false )
| ( ( ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) )
| ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1874]) ).
thf(1997,plain,
! [SV20: mworld,SV182: mworld,SV326: mworld,SV259: $i,SV103: $i,SV384: $i,SV472: mworld] :
( ( ( ! [SY2644: mworld] :
( ~ ( mrel @ SV472 @ SY2644 )
| ( member @ SV384 @ SV103 @ SY2644 ) )
| ! [SY2645: mworld] :
( ~ ( mrel @ SV472 @ SY2645 )
| ( member @ SV384 @ SV259 @ SY2645 ) ) )
= $false )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1875]) ).
thf(1998,plain,
! [SV21: mworld,SV183: mworld,SV327: mworld,SV435: mworld,SV473: $i,SV385: $i,SV260: $i,SV104: $i,SV497: mworld] :
( ( ( ~ ! [SY2700: mworld] :
( ~ ( mrel @ SV497 @ SY2700 )
| ( qmltpeq @ SV104 @ SV260 @ SY2700 ) ) )
= $true )
| ( ( ! [SY2701: mworld] :
( ~ ( mrel @ SV497 @ SY2701 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SY2701 ) ) )
= $true )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1876]) ).
thf(1999,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV386: mworld] :
( ( ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) )
| ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) )
= $false )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1877]) ).
thf(2000,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV386: mworld] :
( ( ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) ) )
= $false )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(2001,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV386: mworld] :
( ( ( ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) )
= $false )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(2002,plain,
! [SV106: $i,SV261: $i,SV185: mworld,SV23: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
| ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) ) )
= $false )
| ( ( ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1879]) ).
thf(2003,plain,
! [SV107: $i,SV262: $i,SV388: $i,SV328: mworld,SV186: mworld,SV24: mworld,SV436: mworld] :
( ( ( mrel @ SV436 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) )
= $true )
| ( ( ! [SY2543: mworld] :
( ~ ( mrel @ SV436 @ SY2543 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SY2543 ) ) )
= $true )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1880]) ).
thf(2004,plain,
! [SV328: mworld,SV186: mworld,SV24: mworld,SV262: $i,SV388: $i,SV107: $i,SV524: mworld,SV436: mworld] :
( ( ( ~ ( mrel @ SV436 @ SV524 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SV524 ) )
= $true )
| ( ( qmltpeq @ SV107 @ SV262 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) )
= $false )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1881]) ).
thf(2005,plain,
! [SV25: mworld,SV187: mworld,SV329: mworld,SV389: $i,SV263: $i,SV108: $i,SV437: mworld] :
( ( ( ! [SY2544: mworld] :
( ~ ( mrel @ SV437 @ SY2544 )
| ( qmltpeq @ SV108 @ SV263 @ SY2544 ) ) )
= $false )
| ( ( ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(2006,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV390: mworld] :
( ( ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) )
| ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) )
= $false )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(2007,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV390: mworld] :
( ( ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) ) )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(2008,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV390: mworld] :
( ( ( ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(2009,plain,
! [SV264: $i,SV109: $i,SV188: mworld,SV26: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
| ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) ) )
= $false )
| ( ( ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1885]) ).
thf(2010,plain,
! [SV110: $i,SV265: $i,SV392: $i,SV330: mworld,SV189: mworld,SV27: mworld,SV438: mworld] :
( ( ( mrel @ SV438 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) )
= $true )
| ( ( ! [SY2548: mworld] :
( ~ ( mrel @ SV438 @ SY2548 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SY2548 ) ) )
= $true )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1886]) ).
thf(2011,plain,
! [SV330: mworld,SV189: mworld,SV27: mworld,SV265: $i,SV392: $i,SV110: $i,SV525: mworld,SV438: mworld] :
( ( ( ~ ( mrel @ SV438 @ SV525 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SV525 ) )
= $true )
| ( ( qmltpeq @ SV110 @ SV265 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) )
= $false )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1887]) ).
thf(2012,plain,
! [SV111: $i,SV266: $i,SV393: $i,SV331: mworld,SV190: mworld,SV28: mworld,SV439: mworld] :
( ( ( mrel @ SV439 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) )
= $true )
| ( ( ! [SY2550: mworld] :
( ~ ( mrel @ SV439 @ SY2550 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SY2550 ) ) )
= $true )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1888]) ).
thf(2013,plain,
! [SV331: mworld,SV190: mworld,SV28: mworld,SV266: $i,SV393: $i,SV111: $i,SV526: mworld,SV439: mworld] :
( ( ( ~ ( mrel @ SV439 @ SV526 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SV526 ) )
= $true )
| ( ( qmltpeq @ SV111 @ SV266 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) )
= $false )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1889]) ).
thf(2014,plain,
! [SV32: mworld,SV193: mworld,SV334: mworld,SV394: $i,SV269: $i,SV114: $i,SV440: mworld] :
( ( ( ! [SY2551: mworld] :
( ~ ( mrel @ SV440 @ SY2551 )
| ( qmltpeq @ SV114 @ SV269 @ SY2551 ) ) )
= $false )
| ( ( ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1891]) ).
thf(2015,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV527: mworld,SV395: mworld] :
( ( ( ~ ( mrel @ SV395 @ SV527 )
| ! [SY2731: $i,SY2732: mworld] :
( ~ ( mrel @ SV527 @ SY2732 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY2732 @ SY840 )
| ( member @ SY2731 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY2732 @ SY1794 )
| ( member @ SY2731 @ SV270 @ SY1794 ) ) ) )
= $true )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1892]) ).
thf(2016,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV513: mworld,SV395: mworld] :
( ( ( ~ ( mrel @ SV395 @ SV513 ) )
= $true )
| ( ( ! [SY2715: $i,SY2716: mworld] :
( ~ ( mrel @ SV513 @ SY2716 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY2716 @ SY840 )
| ( member @ SY2715 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY2716 @ SY1794 )
| ( member @ SY2715 @ SV270 @ SY1794 ) ) ) )
= $true )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1893]) ).
thf(2017,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV528: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ SV528 )
| ( subclass @ SV115 @ SV270 @ SV528 ) )
= $true )
| ( ( mrel @ SV396 @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1894]) ).
thf(2018,plain,
! [SV396: mworld,SV115: $i,SV270: $i,SV194: mworld,SV33: mworld] :
( ( ( ~ ( mrel @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) )
| ~ ! [SY2735: mworld] :
( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SY2735 )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SY2735 ) )
| ! [SY2736: mworld] :
( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SY2736 )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV270 @ SY2736 ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1895]) ).
thf(2019,plain,
! [SV271: $i,SV195: mworld,SV34: mworld,SV116: $i,SV335: mworld] :
( ( ( ! [SY2121: mworld] :
( ~ ( mrel @ SV335 @ SY2121 )
| ( function @ SV116 @ SY2121 ) ) )
= $false )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(2020,plain,
! [SV116: $i,SV271: $i,SV34: mworld,SV195: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) )
| ( function @ SV116 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) ) )
= $false )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1897]) ).
thf(2021,plain,
! [SV118: $i,SV273: $i,SV397: $i,SV337: mworld,SV197: mworld,SV36: mworld,SV441: mworld] :
( ( ( mrel @ SV441 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) )
= $true )
| ( ( ! [SY2555: mworld] :
( ~ ( mrel @ SV441 @ SY2555 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SY2555 ) ) )
= $true )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1899]) ).
thf(2022,plain,
! [SV337: mworld,SV197: mworld,SV36: mworld,SV273: $i,SV118: $i,SV397: $i,SV529: mworld,SV441: mworld] :
( ( ( ~ ( mrel @ SV441 @ SV529 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SV529 ) )
= $true )
| ( ( qmltpeq @ SV118 @ SV273 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) )
= $false )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1900]) ).
thf(2023,plain,
! [SV119: $i,SV274: $i,SV398: $i,SV338: mworld,SV198: mworld,SV37: mworld,SV442: mworld] :
( ( ( mrel @ SV442 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) )
= $true )
| ( ( ! [SY2557: mworld] :
( ~ ( mrel @ SV442 @ SY2557 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SY2557 ) ) )
= $true )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1901]) ).
thf(2024,plain,
! [SV338: mworld,SV198: mworld,SV37: mworld,SV274: $i,SV119: $i,SV398: $i,SV530: mworld,SV442: mworld] :
( ( ( ~ ( mrel @ SV442 @ SV530 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SV530 ) )
= $true )
| ( ( qmltpeq @ SV119 @ SV274 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) )
= $false )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1902]) ).
thf(2025,plain,
! [SV39: mworld,SV200: mworld,SV339: mworld,SV400: $i,SV275: $i,SV121: $i,SV444: mworld] :
( ( ( ! [SY2558: mworld] :
( ~ ( mrel @ SV444 @ SY2558 )
| ( qmltpeq @ SV121 @ SV275 @ SY2558 ) ) )
= $false )
| ( ( ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1903]) ).
thf(2026,plain,
! [SV122: $i,SV276: $i,SV401: $i,SV340: mworld,SV201: mworld,SV40: mworld,SV445: mworld] :
( ( ( mrel @ SV445 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) )
= $true )
| ( ( ! [SY2562: mworld] :
( ~ ( mrel @ SV445 @ SY2562 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SY2562 ) ) )
= $true )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1904]) ).
thf(2027,plain,
! [SV340: mworld,SV201: mworld,SV40: mworld,SV276: $i,SV122: $i,SV401: $i,SV531: mworld,SV445: mworld] :
( ( ( ~ ( mrel @ SV445 @ SV531 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SV531 ) )
= $true )
| ( ( qmltpeq @ SV122 @ SV276 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) )
= $false )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1905]) ).
thf(2028,plain,
! [SV123: $i,SV277: $i,SV402: $i,SV341: mworld,SV202: mworld,SV41: mworld,SV446: mworld] :
( ( ( mrel @ SV446 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) )
= $true )
| ( ( ! [SY2564: mworld] :
( ~ ( mrel @ SV446 @ SY2564 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SY2564 ) ) )
= $true )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1906]) ).
thf(2029,plain,
! [SV341: mworld,SV202: mworld,SV41: mworld,SV277: $i,SV123: $i,SV402: $i,SV532: mworld,SV446: mworld] :
( ( ( ~ ( mrel @ SV446 @ SV532 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SV532 ) )
= $true )
| ( ( qmltpeq @ SV123 @ SV277 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) )
= $false )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1907]) ).
thf(2030,plain,
! [SV42: mworld,SV203: mworld,SV342: mworld,SV403: $i,SV278: $i,SV124: $i,SV447: mworld] :
( ( ( ! [SY2565: mworld] :
( ~ ( mrel @ SV447 @ SY2565 )
| ( qmltpeq @ SV124 @ SV278 @ SY2565 ) ) )
= $false )
| ( ( ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(2031,plain,
! [SV126: $i,SV279: $i,SV405: $i,SV343: mworld,SV205: mworld,SV44: mworld,SV449: mworld] :
( ( ( mrel @ SV449 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) )
= $true )
| ( ( ! [SY2569: mworld] :
( ~ ( mrel @ SV449 @ SY2569 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SY2569 ) ) )
= $true )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1909]) ).
thf(2032,plain,
! [SV343: mworld,SV205: mworld,SV44: mworld,SV279: $i,SV126: $i,SV405: $i,SV533: mworld,SV449: mworld] :
( ( ( ~ ( mrel @ SV449 @ SV533 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SV533 ) )
= $true )
| ( ( qmltpeq @ SV126 @ SV279 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) )
= $false )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1910]) ).
thf(2033,plain,
! [SV280: $i,SV206: mworld,SV45: mworld,SV127: $i,SV344: mworld] :
( ( ( ! [SY2156: mworld] :
( ~ ( mrel @ SV344 @ SY2156 )
| ( inductive @ SV127 @ SY2156 ) ) )
= $false )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(2034,plain,
! [SV127: $i,SV280: $i,SV45: mworld,SV206: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) )
| ( inductive @ SV127 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) ) )
= $false )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1912]) ).
thf(2035,plain,
! [SV46: mworld,SV207: mworld,SV345: mworld,SV406: $i,SV281: $i,SV128: $i,SV450: mworld] :
( ( ( ! [SY2570: mworld] :
( ~ ( mrel @ SV450 @ SY2570 )
| ( qmltpeq @ SV128 @ SV281 @ SY2570 ) ) )
= $false )
| ( ( ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1913]) ).
thf(2036,plain,
! [SV243: mworld,SV370: $i,SV534: mworld,SV373: mworld] :
( ( ( ~ ( mrel @ SV373 @ SV534 )
| ( qmltpeq @ SV370 @ null_class @ SV534 ) )
= $true )
| ( ( ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ SV373 @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1914]) ).
thf(2037,plain,
! [SV243: mworld,SV370: $i,SV514: mworld,SV373: mworld] :
( ( ( ~ ( mrel @ SV373 @ SV514 ) )
= $true )
| ( ( qmltpeq @ SV370 @ null_class @ SV514 )
= $true )
| ( ( ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( member @ SV370 @ universal_class @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $false )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1915]) ).
thf(2038,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV407: mworld] :
( ( ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) )
| ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) )
= $false )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1916]) ).
thf(2039,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV407: mworld] :
( ( ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) ) )
= $false )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1917]) ).
thf(2040,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV407: mworld] :
( ( ( ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) )
= $false )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1917]) ).
thf(2041,plain,
! [SV130: $i,SV282: $i,SV209: mworld,SV48: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
| ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) ) )
= $false )
| ( ( ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1918]) ).
thf(2042,plain,
! [SV451: $i,SV372: mworld,SV465: mworld] :
( ( ( ~ ( mrel @ SV465 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) ) )
= $false )
| ( ( ! [SY2631: mworld] :
( ~ ( mrel @ SV465 @ SY2631 )
| ( subclass @ sK3_SX0 @ SV451 @ SY2631 ) ) )
= $true )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1921]) ).
thf(2043,plain,
! [SV465: mworld,SV372: mworld,SV451: $i] :
( ( ( inductive @ SV451 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) )
= $false )
| ( ( ! [SY2631: mworld] :
( ~ ( mrel @ SV465 @ SY2631 )
| ( subclass @ sK3_SX0 @ SV451 @ SY2631 ) ) )
= $true )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1921]) ).
thf(2044,plain,
! [SV54: mworld,SV215: mworld,SV349: mworld,SV409: $i,SV286: $i,SV136: $i,SV452: mworld] :
( ( ( ! [SY2576: mworld] :
( ~ ( mrel @ SV452 @ SY2576 )
| ( qmltpeq @ SV136 @ SV286 @ SY2576 ) ) )
= $false )
| ( ( ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1923]) ).
thf(2045,plain,
! [SV55: mworld,SV137: $i,SV515: mworld,SV287: mworld] :
( ( ( ~ ( mrel @ SV287 @ SV515 ) )
= $true )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SV515 )
= $true )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1924]) ).
thf(2046,plain,
! [SV55: mworld,SV137: $i,SV516: mworld,SV287: mworld] :
( ( ( ~ ( mrel @ SV287 @ SV516 ) )
= $true )
| ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SV516 )
= $true )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1925]) ).
thf(2047,plain,
! [SV55: mworld,SV137: $i,SV509: mworld,SV287: mworld] :
( ( ( mrel @ SV287 @ SV509 )
= $false )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SV509 )
= $true )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1926]) ).
thf(2048,plain,
! [SV55: mworld,SV137: $i,SV510: mworld,SV287: mworld] :
( ( ( mrel @ SV287 @ SV510 )
= $false )
| ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SV510 )
= $true )
| ( ( function @ SV137 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $false )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1927]) ).
thf(2049,plain,
! [SV137: $i,SV55: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) )
| ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) ) )
= $false )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1928]) ).
thf(2050,plain,
! [SV137: $i,SV55: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) ) )
= $false )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1929]) ).
thf(2051,plain,
! [SV288: mworld,SV55: mworld,SV137: $i] :
( ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1929]) ).
thf(2052,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV535: mworld,SV410: mworld] :
( ( ( ~ ( mrel @ SV410 @ SV535 )
| ! [SY2737: $i,SY2738: mworld] :
( ~ ( mrel @ SV535 @ SY2738 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY2738 @ SY984 )
| ( member @ SY2737 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY2738 @ SY1891 )
| ( member @ SY2737 @ SV289 @ SY1891 ) ) ) ) )
= $true )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1930]) ).
thf(2053,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV517: mworld,SV410: mworld] :
( ( ( ~ ( mrel @ SV410 @ SV517 ) )
= $true )
| ( ( ! [SY2722: $i,SY2723: mworld] :
( ~ ( mrel @ SV517 @ SY2723 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY2723 @ SY984 )
| ( member @ SY2722 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY2723 @ SY1891 )
| ( member @ SY2722 @ SV289 @ SY1891 ) ) ) ) )
= $true )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1931]) ).
thf(2054,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV536: mworld,SV411: mworld] :
( ( ( ~ ( mrel @ SV411 @ SV536 )
| ( disjoint @ SV138 @ SV289 @ SV536 ) )
= $true )
| ( ( mrel @ SV411 @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1932]) ).
thf(2055,plain,
! [SV411: mworld,SV138: $i,SV289: $i,SV216: mworld,SV56: mworld] :
( ( ( ~ ( mrel @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) )
| ~ ~ ( ~ ! [SY2741: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2741 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SY2741 ) )
| ~ ! [SY2742: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2742 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SY2742 ) ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1933]) ).
thf(2056,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV412: mworld] :
( ( ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) )
| ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) )
= $false )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1934]) ).
thf(2057,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV412: mworld] :
( ( ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1935]) ).
thf(2058,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV412: mworld] :
( ( ( ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1935]) ).
thf(2059,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
| ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1936]) ).
thf(2060,plain,
! [SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ! [SY2650: mworld] :
( ~ ( mrel @ SV479 @ SY2650 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2650 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1937]) ).
thf(2061,plain,
! [SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV291: $i,SV140: $i,SV480: mworld] :
( ( ( ~ ( ~ ! [SY2654: mworld] :
( ~ ( mrel @ SV480 @ SY2654 )
| ( member @ SV140 @ universal_class @ SY2654 ) )
| ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1938]) ).
thf(2062,plain,
! [SV415: $i,SV141: $i,SV292: $i,SV351: mworld,SV219: mworld,SV60: mworld,SV453: mworld] :
( ( ( mrel @ SV453 @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) )
= $true )
| ( ( ! [SY2580: mworld] :
( ~ ( mrel @ SV453 @ SY2580 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SY2580 ) ) )
= $true )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1939]) ).
thf(2063,plain,
! [SV351: mworld,SV219: mworld,SV60: mworld,SV292: $i,SV141: $i,SV415: $i,SV537: mworld,SV453: mworld] :
( ( ( ~ ( mrel @ SV453 @ SV537 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SV537 ) )
= $true )
| ( ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) )
= $false )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1940]) ).
thf(2064,plain,
! [SV61: mworld,SV142: $i,SV518: mworld,SV293: mworld] :
( ( ( ~ ( mrel @ SV293 @ SV518 ) )
= $true )
| ( ( member @ null_class @ SV142 @ SV518 )
= $true )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1941]) ).
thf(2065,plain,
! [SV61: mworld,SV142: $i,SV519: mworld,SV293: mworld] :
( ( ( ~ ( mrel @ SV293 @ SV519 ) )
= $true )
| ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SV519 )
= $true )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1942]) ).
thf(2066,plain,
! [SV61: mworld,SV142: $i,SV511: mworld,SV293: mworld] :
( ( ( mrel @ SV293 @ SV511 )
= $false )
| ( ( member @ null_class @ SV142 @ SV511 )
= $true )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1943]) ).
thf(2067,plain,
! [SV61: mworld,SV142: $i,SV512: mworld,SV293: mworld] :
( ( ( mrel @ SV293 @ SV512 )
= $false )
| ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SV512 )
= $true )
| ( ( inductive @ SV142 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $false )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1944]) ).
thf(2068,plain,
! [SV142: $i,SV61: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) )
| ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) ) )
= $false )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1945]) ).
thf(2069,plain,
! [SV142: $i,SV61: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) ) )
= $false )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1946]) ).
thf(2070,plain,
! [SV294: mworld,SV61: mworld,SV142: $i] :
( ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1946]) ).
thf(2071,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV538: mworld,SV454: mworld] :
( ( ( ~ ( mrel @ SV454 @ SV538 )
| ~ ! [SY2743: mworld] :
( ~ ( mrel @ SV538 @ SY2743 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2743 ) )
| ~ ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) ) )
= $true )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1947]) ).
thf(2072,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV539: mworld,SV454: mworld] :
( ( ( ~ ( mrel @ SV454 @ SV539 )
| ~ ~ ( ~ ! [SY2746: mworld] :
( ~ ( mrel @ SV539 @ SY2746 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2746 ) )
| ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
| ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1948]) ).
thf(2073,plain,
! [SV145: $i,SV64: mworld,SV520: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV520 ) )
= $true )
| ( ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ universal_class @ SV520 )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1950]) ).
thf(2074,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV222 @ SY2633 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2633 ) ) )
= $false )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(2075,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV222 @ SY2634 )
| ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2634 ) ) )
= $false )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(2076,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ~ ! [SY2710: mworld] :
( ~ ( mrel @ SV222 @ SY2710 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ universal_class @ SY2710 ) ) )
= $false )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(2077,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ~ ~ ( ~ ! [SY2711: mworld] :
( ~ ( mrel @ SV222 @ SY2711 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2711 ) )
| ~ ! [SY2712: mworld] :
( ~ ( mrel @ SV222 @ SY2712 )
| ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2712 ) ) ) )
= $false )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(2078,plain,
! [SV223: mworld,SV65: mworld,SV146: $i,SV297: $i,SV417: mworld] :
( ( ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) )
| ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) )
= $false )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1953]) ).
thf(2079,plain,
! [SV223: mworld,SV65: mworld,SV146: $i,SV297: $i,SV417: mworld] :
( ( ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1954]) ).
thf(2080,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV417: mworld] :
( ( ( ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1954]) ).
thf(2081,plain,
! [SV297: $i,SV146: $i,SV223: mworld,SV65: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
| ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) ) )
= $false )
| ( ( ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1955]) ).
thf(2082,plain,
! [SV147: $i,SV298: $i,SV419: $i,SV354: mworld,SV224: mworld,SV66: mworld,SV456: mworld] :
( ( ( mrel @ SV456 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) )
= $true )
| ( ( ! [SY2591: mworld] :
( ~ ( mrel @ SV456 @ SY2591 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SY2591 ) ) )
= $true )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1956]) ).
thf(2083,plain,
! [SV354: mworld,SV224: mworld,SV66: mworld,SV298: $i,SV147: $i,SV419: $i,SV540: mworld,SV456: mworld] :
( ( ( ~ ( mrel @ SV456 @ SV540 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SV540 ) )
= $true )
| ( ( qmltpeq @ SV147 @ SV298 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) )
= $false )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1957]) ).
thf(2084,plain,
! [SV149: $i,SV299: $i,SV420: $i,SV355: mworld,SV226: mworld,SV68: mworld,SV457: mworld] :
( ( ( mrel @ SV457 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) )
= $true )
| ( ( ! [SY2593: mworld] :
( ~ ( mrel @ SV457 @ SY2593 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SY2593 ) ) )
= $true )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1958]) ).
thf(2085,plain,
! [SV355: mworld,SV226: mworld,SV68: mworld,SV299: $i,SV420: $i,SV149: $i,SV541: mworld,SV457: mworld] :
( ( ( ~ ( mrel @ SV457 @ SV541 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SV541 ) )
= $true )
| ( ( qmltpeq @ SV149 @ SV299 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) )
= $false )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1959]) ).
thf(2086,plain,
! [SV150: $i,SV300: $i,SV421: $i,SV356: mworld,SV227: mworld,SV69: mworld,SV458: mworld] :
( ( ( mrel @ SV458 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) )
= $true )
| ( ( ! [SY2595: mworld] :
( ~ ( mrel @ SV458 @ SY2595 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SY2595 ) ) )
= $true )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1960]) ).
thf(2087,plain,
! [SV356: mworld,SV227: mworld,SV69: mworld,SV300: $i,SV421: $i,SV150: $i,SV542: mworld,SV458: mworld] :
( ( ( ~ ( mrel @ SV458 @ SV542 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SV542 ) )
= $true )
| ( ( qmltpeq @ SV150 @ SV300 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) )
= $false )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1961]) ).
thf(2088,plain,
! [SV151: $i,SV301: $i,SV422: $i,SV357: mworld,SV228: mworld,SV70: mworld,SV459: mworld] :
( ( ( mrel @ SV459 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) )
= $true )
| ( ( ! [SY2597: mworld] :
( ~ ( mrel @ SV459 @ SY2597 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SY2597 ) ) )
= $true )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1962]) ).
thf(2089,plain,
! [SV357: mworld,SV228: mworld,SV70: mworld,SV301: $i,SV422: $i,SV151: $i,SV543: mworld,SV459: mworld] :
( ( ( ~ ( mrel @ SV459 @ SV543 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SV543 ) )
= $true )
| ( ( qmltpeq @ SV151 @ SV301 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) )
= $false )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1963]) ).
thf(2090,plain,
! [SV71: mworld,SV229: mworld,SV358: mworld,SV423: $i,SV302: $i,SV152: $i,SV460: mworld] :
( ( ( ! [SY2598: mworld] :
( ~ ( mrel @ SV460 @ SY2598 )
| ( qmltpeq @ SV152 @ SV302 @ SY2598 ) ) )
= $false )
| ( ( ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1964]) ).
thf(2091,plain,
! [SV155: $i,SV304: $i,SV424: $i,SV360: mworld,SV232: mworld,SV74: mworld,SV461: mworld] :
( ( ( mrel @ SV461 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) )
= $true )
| ( ( ! [SY2602: mworld] :
( ~ ( mrel @ SV461 @ SY2602 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SY2602 ) ) )
= $true )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1965]) ).
thf(2092,plain,
! [SV360: mworld,SV232: mworld,SV74: mworld,SV304: $i,SV424: $i,SV155: $i,SV544: mworld,SV461: mworld] :
( ( ( ~ ( mrel @ SV461 @ SV544 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SV544 ) )
= $true )
| ( ( qmltpeq @ SV155 @ SV304 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) )
= $false )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1966]) ).
thf(2093,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV545: mworld,SV462: mworld] :
( ( ( ~ ( mrel @ SV462 @ SV545 )
| ~ ! [SY2749: mworld] :
( ~ ( mrel @ SV545 @ SY2749 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2749 ) )
| ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) ) )
= $true )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1967]) ).
thf(2094,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV546: mworld,SV462: mworld] :
( ( ( ~ ( mrel @ SV462 @ SV546 )
| ~ ~ ( ~ ! [SY2752: mworld] :
( ~ ( mrel @ SV546 @ SY2752 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2752 ) )
| ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
| ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1968]) ).
thf(2095,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV547: mworld,SV463: mworld] :
( ( ( ~ ( mrel @ SV463 @ SV547 )
| ~ ! [SY2755: mworld] :
( ~ ( mrel @ SV547 @ SY2755 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2755 ) )
| ~ ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) ) )
= $true )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2096,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV548: mworld,SV463: mworld] :
( ( ( ~ ( mrel @ SV463 @ SV548 )
| ~ ~ ( ~ ! [SY2758: mworld] :
( ~ ( mrel @ SV548 @ SY2758 )
| ( member @ SV426 @ universal_class @ SY2758 ) )
| ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
| ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1970]) ).
thf(2097,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV549: mworld,SV464: mworld] :
( ( ( ~ ( mrel @ SV464 @ SV549 )
| ~ ! [SY2761: mworld] :
( ~ ( mrel @ SV549 @ SY2761 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2761 ) )
| ~ ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) ) )
= $true )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1971]) ).
thf(2098,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV550: mworld,SV464: mworld] :
( ( ( ~ ( mrel @ SV464 @ SV550 )
| ~ ~ ( ~ ! [SY2764: mworld] :
( ~ ( mrel @ SV550 @ SY2764 )
| ( member @ SV159 @ SV427 @ SY2764 ) )
| ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
| ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2099,plain,
! [SV80: mworld,SV238: mworld,SV366: mworld,SV310: $i,SV161: $i,SV428: $i,SV487: mworld] :
( ( ( ! [SY2690: mworld] :
( ~ ( mrel @ SV487 @ SY2690 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2690 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1974]) ).
thf(2100,plain,
! [SV80: mworld,SV238: mworld,SV366: mworld,SV310: $i,SV161: $i,SV428: $i,SV488: mworld] :
( ( ( ~ ( ~ ! [SY2693: mworld] :
( ~ ( mrel @ SV488 @ SY2693 )
| ( member @ SV428 @ SV161 @ SY2693 ) )
| ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) ) )
= $false )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1975]) ).
thf(2101,plain,
! [SV3: mworld,SV165: mworld,SV314: mworld,SV429: mworld,SV466: $i,SV374: $i,SV245: $i,SV86: $i,SV492: mworld] :
( ( ( ! [SY2696: mworld] :
( ~ ( mrel @ SV492 @ SY2696 )
| ( qmltpeq @ SV86 @ SV245 @ SY2696 ) ) )
= $false )
| ( ( ! [SY2697: mworld] :
( ~ ( mrel @ SV492 @ SY2697 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SY2697 ) ) )
= $true )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1979]) ).
thf(2102,plain,
! [SV87: $i,SV166: mworld,SV4: mworld,SV246: $i,SV375: mworld] :
( ( ( ~ ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) ) )
= $false )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2103,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV375: mworld] :
( ( ( ~ ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) )
= $false )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2104,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV375: mworld] :
( ( ( ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) ) )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1981]) ).
thf(2105,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV375: mworld] :
( ( ( ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1982]) ).
thf(2106,plain,
! [SV246: $i,SV87: $i,SV166: mworld,SV4: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) ) )
= $false )
| ( ( ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1983]) ).
thf(2107,plain,
! [SV376: mworld,SV87: $i,SV166: mworld,SV4: mworld,SV246: $i] :
( ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1983]) ).
thf(2108,plain,
! [SV315: mworld,SV167: mworld,SV5: mworld,SV247: $i,SV377: $i,SV88: $i,SV551: mworld,SV430: mworld] :
( ( ( ~ ( mrel @ SV430 @ SV551 )
| ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SV551 ) )
= $true )
| ( ( mrel @ SV430 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) )
= $true )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2109,plain,
! [SV315: mworld,SV167: mworld,SV5: mworld,SV247: $i,SV377: $i,SV88: $i,SV521: mworld,SV430: mworld] :
( ( ( ~ ( mrel @ SV430 @ SV521 ) )
= $true )
| ( ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SV521 )
= $true )
| ( ( qmltpeq @ SV88 @ SV247 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) )
= $false )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1985]) ).
thf(2110,plain,
! [SV6: mworld,SV168: mworld,SV316: mworld,SV431: mworld,SV467: $i,SV378: $i,SV248: $i,SV89: $i,SV493: mworld] :
( ( ( ! [SY2698: mworld] :
( ~ ( mrel @ SV493 @ SY2698 )
| ( qmltpeq @ SV89 @ SV248 @ SY2698 ) ) )
= $false )
| ( ( ! [SY2699: mworld] :
( ~ ( mrel @ SV493 @ SY2699 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SY2699 ) ) )
= $true )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1986]) ).
thf(2111,plain,
! [SV317: mworld,SV169: mworld,SV7: mworld,SV249: $i,SV90: $i,SV379: $i,SV552: mworld,SV432: mworld] :
( ( ( ~ ( mrel @ SV432 @ SV552 )
| ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SV552 ) )
= $true )
| ( ( mrel @ SV432 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) )
= $true )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1987]) ).
thf(2112,plain,
! [SV317: mworld,SV169: mworld,SV7: mworld,SV249: $i,SV90: $i,SV379: $i,SV522: mworld,SV432: mworld] :
( ( ( ~ ( mrel @ SV432 @ SV522 ) )
= $true )
| ( ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SV522 )
= $true )
| ( ( qmltpeq @ SV90 @ SV249 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) )
= $false )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1988]) ).
thf(2113,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV380: mworld] :
( ( ( ~ ~ ( ~ ! [SY2767: mworld] :
( ~ ( mrel @ SV380 @ SY2767 )
| ( member @ SV91 @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SY2767 ) )
| ~ ! [SY2768: mworld] :
( ~ ( mrel @ SV380 @ SY2768 )
| ( member @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SY2768 ) ) ) )
= $false )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1989]) ).
thf(2114,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV380: mworld] :
( ( ( ~ ( ~ ! [SY2729: mworld] :
( ~ ( mrel @ SV380 @ SY2729 )
| ( member @ SV91 @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SY2729 ) )
| ~ ! [SY2730: mworld] :
( ~ ( mrel @ SV380 @ SY2730 )
| ( member @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SY2730 ) ) ) )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1990]) ).
thf(2115,plain,
! [SV8: mworld,SV170: mworld,SV250: $i,SV508: $i,SV91: $i,SV381: mworld] :
( ( ( ~ ! [SY2713: mworld] :
( ~ ( mrel @ SV381 @ SY2713 )
| ( member @ SV91 @ SV508 @ SY2713 ) ) )
= $true )
| ( ( ~ ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1991]) ).
thf(2116,plain,
! [SV321: mworld,SV175: mworld,SV13: mworld,SV254: $i,SV96: $i,SV383: $i,SV553: mworld,SV434: mworld] :
( ( ( ~ ( mrel @ SV434 @ SV553 )
| ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SV553 ) )
= $true )
| ( ( mrel @ SV434 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) )
= $true )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1992]) ).
thf(2117,plain,
! [SV321: mworld,SV175: mworld,SV13: mworld,SV254: $i,SV96: $i,SV383: $i,SV523: mworld,SV434: mworld] :
( ( ( ~ ( mrel @ SV434 @ SV523 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SV523 )
= $true )
| ( ( qmltpeq @ SV96 @ SV254 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) )
= $false )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1993]) ).
thf(2118,plain,
! [SV256: $i,SV15: mworld,SV177: mworld,SV98: $i,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) )
| ( function @ SV256 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) ) )
= $false )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1994]) ).
thf(2119,plain,
! [SV256: $i,SV98: $i,SV15: mworld,SV177: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) ) )
= $false )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1995]) ).
thf(2120,plain,
! [SV323: mworld,SV98: $i,SV15: mworld,SV177: mworld,SV256: $i] :
( ( ( function @ SV256 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) )
= $false )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1995]) ).
thf(2121,plain,
! [SV384: $i,SV103: $i,SV259: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV471: mworld] :
( ( ( ~ ( mrel @ SV471 @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) ) )
= $false )
| ( ( ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) )
| ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1996]) ).
thf(2122,plain,
! [SV20: mworld,SV182: mworld,SV326: mworld,SV259: $i,SV103: $i,SV384: $i,SV472: mworld] :
( ( ( ! [SY2644: mworld] :
( ~ ( mrel @ SV472 @ SY2644 )
| ( member @ SV384 @ SV103 @ SY2644 ) ) )
= $false )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1997]) ).
thf(2123,plain,
! [SV20: mworld,SV182: mworld,SV326: mworld,SV103: $i,SV259: $i,SV384: $i,SV472: mworld] :
( ( ( ! [SY2645: mworld] :
( ~ ( mrel @ SV472 @ SY2645 )
| ( member @ SV384 @ SV259 @ SY2645 ) ) )
= $false )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1997]) ).
thf(2124,plain,
! [SV21: mworld,SV183: mworld,SV327: mworld,SV435: mworld,SV473: $i,SV385: $i,SV260: $i,SV104: $i,SV497: mworld] :
( ( ( ! [SY2700: mworld] :
( ~ ( mrel @ SV497 @ SY2700 )
| ( qmltpeq @ SV104 @ SV260 @ SY2700 ) ) )
= $false )
| ( ( ! [SY2701: mworld] :
( ~ ( mrel @ SV497 @ SY2701 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SY2701 ) ) )
= $true )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1998]) ).
thf(2125,plain,
! [SV261: $i,SV185: mworld,SV23: mworld,SV106: $i,SV386: mworld] :
( ( ( ~ ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) ) )
= $false )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2126,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV386: mworld] :
( ( ( ~ ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) )
= $false )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2127,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV386: mworld] :
( ( ( ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) ) )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2000]) ).
thf(2128,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV386: mworld] :
( ( ( ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2001]) ).
thf(2129,plain,
! [SV106: $i,SV261: $i,SV185: mworld,SV23: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) ) )
= $false )
| ( ( ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2130,plain,
! [SV387: mworld,SV261: $i,SV185: mworld,SV23: mworld,SV106: $i] :
( ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2131,plain,
! [SV328: mworld,SV186: mworld,SV24: mworld,SV262: $i,SV388: $i,SV107: $i,SV554: mworld,SV436: mworld] :
( ( ( ~ ( mrel @ SV436 @ SV554 )
| ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SV554 ) )
= $true )
| ( ( mrel @ SV436 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) )
= $true )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2132,plain,
! [SV328: mworld,SV186: mworld,SV24: mworld,SV262: $i,SV388: $i,SV107: $i,SV524: mworld,SV436: mworld] :
( ( ( ~ ( mrel @ SV436 @ SV524 ) )
= $true )
| ( ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SV524 )
= $true )
| ( ( qmltpeq @ SV107 @ SV262 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) )
= $false )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2004]) ).
thf(2133,plain,
! [SV108: $i,SV263: $i,SV389: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
| ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) ) )
= $false )
| ( ( ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2005]) ).
thf(2134,plain,
! [SV109: $i,SV188: mworld,SV26: mworld,SV264: $i,SV390: mworld] :
( ( ( ~ ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) ) )
= $false )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2006]) ).
thf(2135,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV390: mworld] :
( ( ( ~ ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) )
= $false )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2006]) ).
thf(2136,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV390: mworld] :
( ( ( ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) ) )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2007]) ).
thf(2137,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV390: mworld] :
( ( ( ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2008]) ).
thf(2138,plain,
! [SV264: $i,SV109: $i,SV188: mworld,SV26: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) ) )
= $false )
| ( ( ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2009]) ).
thf(2139,plain,
! [SV391: mworld,SV109: $i,SV188: mworld,SV26: mworld,SV264: $i] :
( ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2009]) ).
thf(2140,plain,
! [SV330: mworld,SV189: mworld,SV27: mworld,SV265: $i,SV392: $i,SV110: $i,SV555: mworld,SV438: mworld] :
( ( ( ~ ( mrel @ SV438 @ SV555 )
| ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SV555 ) )
= $true )
| ( ( mrel @ SV438 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) )
= $true )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2010]) ).
thf(2141,plain,
! [SV330: mworld,SV189: mworld,SV27: mworld,SV265: $i,SV392: $i,SV110: $i,SV525: mworld,SV438: mworld] :
( ( ( ~ ( mrel @ SV438 @ SV525 ) )
= $true )
| ( ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SV525 )
= $true )
| ( ( qmltpeq @ SV110 @ SV265 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) )
= $false )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2011]) ).
thf(2142,plain,
! [SV331: mworld,SV190: mworld,SV28: mworld,SV266: $i,SV393: $i,SV111: $i,SV556: mworld,SV439: mworld] :
( ( ( ~ ( mrel @ SV439 @ SV556 )
| ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SV556 ) )
= $true )
| ( ( mrel @ SV439 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) )
= $true )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2143,plain,
! [SV331: mworld,SV190: mworld,SV28: mworld,SV266: $i,SV393: $i,SV111: $i,SV526: mworld,SV439: mworld] :
( ( ( ~ ( mrel @ SV439 @ SV526 ) )
= $true )
| ( ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SV526 )
= $true )
| ( ( qmltpeq @ SV111 @ SV266 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) )
= $false )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2013]) ).
thf(2144,plain,
! [SV114: $i,SV269: $i,SV394: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
| ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) ) )
= $false )
| ( ( ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2014]) ).
thf(2145,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV527: mworld,SV395: mworld] :
( ( ( ~ ( mrel @ SV395 @ SV527 ) )
= $true )
| ( ( ! [SY2731: $i,SY2732: mworld] :
( ~ ( mrel @ SV527 @ SY2732 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY2732 @ SY840 )
| ( member @ SY2731 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY2732 @ SY1794 )
| ( member @ SY2731 @ SV270 @ SY1794 ) ) ) )
= $true )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2015]) ).
thf(2146,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV513: mworld,SV395: mworld] :
( ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( ! [SY2715: $i,SY2716: mworld] :
( ~ ( mrel @ SV513 @ SY2716 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY2716 @ SY840 )
| ( member @ SY2715 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY2716 @ SY1794 )
| ( member @ SY2715 @ SV270 @ SY1794 ) ) ) )
= $true )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2016]) ).
thf(2147,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV528: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ SV528 ) )
= $true )
| ( ( subclass @ SV115 @ SV270 @ SV528 )
= $true )
| ( ( mrel @ SV396 @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2017]) ).
thf(2148,plain,
! [SV396: mworld,SV115: $i,SV270: $i,SV194: mworld,SV33: mworld] :
( ( ( ~ ( mrel @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2018]) ).
thf(2149,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( ~ ! [SY2735: mworld] :
( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SY2735 )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SY2735 ) )
| ! [SY2736: mworld] :
( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SY2736 )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV270 @ SY2736 ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2018]) ).
thf(2150,plain,
! [SV116: $i,SV34: mworld,SV195: mworld,SV271: $i,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) )
| ( function @ SV116 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) ) )
= $false )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2019]) ).
thf(2151,plain,
! [SV116: $i,SV271: $i,SV34: mworld,SV195: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) ) )
= $false )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2020]) ).
thf(2152,plain,
! [SV335: mworld,SV271: $i,SV34: mworld,SV195: mworld,SV116: $i] :
( ( ( function @ SV116 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2020]) ).
thf(2153,plain,
! [SV337: mworld,SV197: mworld,SV36: mworld,SV273: $i,SV118: $i,SV397: $i,SV557: mworld,SV441: mworld] :
( ( ( ~ ( mrel @ SV441 @ SV557 )
| ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SV557 ) )
= $true )
| ( ( mrel @ SV441 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) )
= $true )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2154,plain,
! [SV337: mworld,SV197: mworld,SV36: mworld,SV273: $i,SV118: $i,SV397: $i,SV529: mworld,SV441: mworld] :
( ( ( ~ ( mrel @ SV441 @ SV529 ) )
= $true )
| ( ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SV529 )
= $true )
| ( ( qmltpeq @ SV118 @ SV273 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) )
= $false )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2022]) ).
thf(2155,plain,
! [SV338: mworld,SV198: mworld,SV37: mworld,SV274: $i,SV119: $i,SV398: $i,SV558: mworld,SV442: mworld] :
( ( ( ~ ( mrel @ SV442 @ SV558 )
| ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SV558 ) )
= $true )
| ( ( mrel @ SV442 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) )
= $true )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2023]) ).
thf(2156,plain,
! [SV338: mworld,SV198: mworld,SV37: mworld,SV274: $i,SV119: $i,SV398: $i,SV530: mworld,SV442: mworld] :
( ( ( ~ ( mrel @ SV442 @ SV530 ) )
= $true )
| ( ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SV530 )
= $true )
| ( ( qmltpeq @ SV119 @ SV274 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) )
= $false )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2024]) ).
thf(2157,plain,
! [SV121: $i,SV275: $i,SV400: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
| ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) ) )
= $false )
| ( ( ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2025]) ).
thf(2158,plain,
! [SV340: mworld,SV201: mworld,SV40: mworld,SV276: $i,SV122: $i,SV401: $i,SV559: mworld,SV445: mworld] :
( ( ( ~ ( mrel @ SV445 @ SV559 )
| ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SV559 ) )
= $true )
| ( ( mrel @ SV445 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) )
= $true )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2026]) ).
thf(2159,plain,
! [SV340: mworld,SV201: mworld,SV40: mworld,SV276: $i,SV122: $i,SV401: $i,SV531: mworld,SV445: mworld] :
( ( ( ~ ( mrel @ SV445 @ SV531 ) )
= $true )
| ( ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SV531 )
= $true )
| ( ( qmltpeq @ SV122 @ SV276 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) )
= $false )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2027]) ).
thf(2160,plain,
! [SV341: mworld,SV202: mworld,SV41: mworld,SV277: $i,SV123: $i,SV402: $i,SV560: mworld,SV446: mworld] :
( ( ( ~ ( mrel @ SV446 @ SV560 )
| ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SV560 ) )
= $true )
| ( ( mrel @ SV446 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) )
= $true )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2028]) ).
thf(2161,plain,
! [SV341: mworld,SV202: mworld,SV41: mworld,SV277: $i,SV123: $i,SV402: $i,SV532: mworld,SV446: mworld] :
( ( ( ~ ( mrel @ SV446 @ SV532 ) )
= $true )
| ( ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SV532 )
= $true )
| ( ( qmltpeq @ SV123 @ SV277 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) )
= $false )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2029]) ).
thf(2162,plain,
! [SV124: $i,SV278: $i,SV403: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
| ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) ) )
= $false )
| ( ( ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2030]) ).
thf(2163,plain,
! [SV343: mworld,SV205: mworld,SV44: mworld,SV279: $i,SV126: $i,SV405: $i,SV561: mworld,SV449: mworld] :
( ( ( ~ ( mrel @ SV449 @ SV561 )
| ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SV561 ) )
= $true )
| ( ( mrel @ SV449 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) )
= $true )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2031]) ).
thf(2164,plain,
! [SV343: mworld,SV205: mworld,SV44: mworld,SV279: $i,SV126: $i,SV405: $i,SV533: mworld,SV449: mworld] :
( ( ( ~ ( mrel @ SV449 @ SV533 ) )
= $true )
| ( ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SV533 )
= $true )
| ( ( qmltpeq @ SV126 @ SV279 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) )
= $false )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2032]) ).
thf(2165,plain,
! [SV127: $i,SV45: mworld,SV206: mworld,SV280: $i,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) )
| ( inductive @ SV127 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) ) )
= $false )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2033]) ).
thf(2166,plain,
! [SV127: $i,SV280: $i,SV45: mworld,SV206: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) ) )
= $false )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2034]) ).
thf(2167,plain,
! [SV344: mworld,SV280: $i,SV45: mworld,SV206: mworld,SV127: $i] :
( ( ( inductive @ SV127 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2034]) ).
thf(2168,plain,
! [SV128: $i,SV281: $i,SV406: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
| ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) ) )
= $false )
| ( ( ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2035]) ).
thf(2169,plain,
! [SV243: mworld,SV370: $i,SV534: mworld,SV373: mworld] :
( ( ( ~ ( mrel @ SV373 @ SV534 ) )
= $true )
| ( ( qmltpeq @ SV370 @ null_class @ SV534 )
= $true )
| ( ( ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ SV373 @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2036]) ).
thf(2170,plain,
! [SV243: mworld,SV370: $i,SV514: mworld,SV373: mworld] :
( ( ( mrel @ SV373 @ SV514 )
= $false )
| ( ( qmltpeq @ SV370 @ null_class @ SV514 )
= $true )
| ( ( ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( member @ SV370 @ universal_class @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $false )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2037]) ).
thf(2171,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV407: mworld] :
( ( ( ~ ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) ) )
= $false )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2038]) ).
thf(2172,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV407: mworld] :
( ( ( ~ ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) )
= $false )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2038]) ).
thf(2173,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV407: mworld] :
( ( ( ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) ) )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2039]) ).
thf(2174,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV407: mworld] :
( ( ( ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2040]) ).
thf(2175,plain,
! [SV130: $i,SV282: $i,SV209: mworld,SV48: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) ) )
= $false )
| ( ( ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2041]) ).
thf(2176,plain,
! [SV408: mworld,SV209: mworld,SV48: mworld,SV282: $i,SV130: $i] :
( ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2041]) ).
thf(2177,plain,
! [SV451: $i,SV372: mworld,SV465: mworld] :
( ( ( mrel @ SV465 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) )
= $true )
| ( ( ! [SY2631: mworld] :
( ~ ( mrel @ SV465 @ SY2631 )
| ( subclass @ sK3_SX0 @ SV451 @ SY2631 ) ) )
= $true )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2042]) ).
thf(2178,plain,
! [SV372: mworld,SV451: $i,SV562: mworld,SV465: mworld] :
( ( ( ~ ( mrel @ SV465 @ SV562 )
| ( subclass @ sK3_SX0 @ SV451 @ SV562 ) )
= $true )
| ( ( inductive @ SV451 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) )
= $false )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2043]) ).
thf(2179,plain,
! [SV136: $i,SV286: $i,SV409: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
| ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) ) )
= $false )
| ( ( ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2044]) ).
thf(2180,plain,
! [SV55: mworld,SV137: $i,SV515: mworld,SV287: mworld] :
( ( ( mrel @ SV287 @ SV515 )
= $false )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ SV515 )
= $true )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2045]) ).
thf(2181,plain,
! [SV55: mworld,SV137: $i,SV516: mworld,SV287: mworld] :
( ( ( mrel @ SV287 @ SV516 )
= $false )
| ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ SV516 )
= $true )
| ( ( mrel @ SV287 @ ( sK10_SY1879 @ SV55 @ SV137 @ SV287 ) )
= $true )
| ( ( mrel @ SV55 @ SV287 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2046]) ).
thf(2182,plain,
! [SV137: $i,SV55: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) ) )
= $false )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2049]) ).
thf(2183,plain,
! [SV288: mworld,SV55: mworld,SV137: $i] :
( ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2049]) ).
thf(2184,plain,
! [SV137: $i,SV55: mworld,SV288: mworld] :
( ( ( mrel @ SV288 @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2050]) ).
thf(2185,plain,
! [SV55: mworld,SV137: $i,SV563: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ SV563 )
| ( function @ SV137 @ SV563 ) )
= $true )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2186,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV535: mworld,SV410: mworld] :
( ( ( ~ ( mrel @ SV410 @ SV535 ) )
= $true )
| ( ( ! [SY2737: $i,SY2738: mworld] :
( ~ ( mrel @ SV535 @ SY2738 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY2738 @ SY984 )
| ( member @ SY2737 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY2738 @ SY1891 )
| ( member @ SY2737 @ SV289 @ SY1891 ) ) ) ) )
= $true )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2052]) ).
thf(2187,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV517: mworld,SV410: mworld] :
( ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( ! [SY2722: $i,SY2723: mworld] :
( ~ ( mrel @ SV517 @ SY2723 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY2723 @ SY984 )
| ( member @ SY2722 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY2723 @ SY1891 )
| ( member @ SY2722 @ SV289 @ SY1891 ) ) ) ) )
= $true )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2053]) ).
thf(2188,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV536: mworld,SV411: mworld] :
( ( ( ~ ( mrel @ SV411 @ SV536 ) )
= $true )
| ( ( disjoint @ SV138 @ SV289 @ SV536 )
= $true )
| ( ( mrel @ SV411 @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2054]) ).
thf(2189,plain,
! [SV411: mworld,SV138: $i,SV289: $i,SV216: mworld,SV56: mworld] :
( ( ( ~ ( mrel @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2055]) ).
thf(2190,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ~ ~ ( ~ ! [SY2741: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2741 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SY2741 ) )
| ~ ! [SY2742: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2742 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SY2742 ) ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2055]) ).
thf(2191,plain,
! [SV290: $i,SV217: mworld,SV57: mworld,SV139: $i,SV412: mworld] :
( ( ( ~ ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) ) )
= $false )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2056]) ).
thf(2192,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV412: mworld] :
( ( ( ~ ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) )
= $false )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2056]) ).
thf(2193,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV412: mworld] :
( ( ( ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2057]) ).
thf(2194,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV412: mworld] :
( ( ( ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2058]) ).
thf(2195,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2059]) ).
thf(2196,plain,
! [SV413: mworld,SV290: $i,SV217: mworld,SV57: mworld,SV139: $i] :
( ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2059]) ).
thf(2197,plain,
! [SV140: $i,SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2060]) ).
thf(2198,plain,
! [SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV291: $i,SV140: $i,SV480: mworld] :
( ( ( ~ ! [SY2654: mworld] :
( ~ ( mrel @ SV480 @ SY2654 )
| ( member @ SV140 @ universal_class @ SY2654 ) )
| ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2061]) ).
thf(2199,plain,
! [SV141: $i,SV292: $i,SV351: mworld,SV219: mworld,SV60: mworld,SV415: $i,SV564: mworld,SV453: mworld] :
( ( ( ~ ( mrel @ SV453 @ SV564 )
| ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SV564 ) )
= $true )
| ( ( mrel @ SV453 @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) )
= $true )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2062]) ).
thf(2200,plain,
! [SV351: mworld,SV219: mworld,SV60: mworld,SV292: $i,SV141: $i,SV415: $i,SV537: mworld,SV453: mworld] :
( ( ( ~ ( mrel @ SV453 @ SV537 ) )
= $true )
| ( ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SV537 )
= $true )
| ( ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) )
= $false )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2063]) ).
thf(2201,plain,
! [SV61: mworld,SV142: $i,SV518: mworld,SV293: mworld] :
( ( ( mrel @ SV293 @ SV518 )
= $false )
| ( ( member @ null_class @ SV142 @ SV518 )
= $true )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2064]) ).
thf(2202,plain,
! [SV61: mworld,SV142: $i,SV519: mworld,SV293: mworld] :
( ( ( mrel @ SV293 @ SV519 )
= $false )
| ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ SV519 )
= $true )
| ( ( mrel @ SV293 @ ( sK11_SY1926 @ SV61 @ SV142 @ SV293 ) )
= $true )
| ( ( mrel @ SV61 @ SV293 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2065]) ).
thf(2203,plain,
! [SV142: $i,SV61: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) ) )
= $false )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2068]) ).
thf(2204,plain,
! [SV294: mworld,SV61: mworld,SV142: $i] :
( ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2068]) ).
thf(2205,plain,
! [SV142: $i,SV61: mworld,SV294: mworld] :
( ( ( mrel @ SV294 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2069]) ).
thf(2206,plain,
! [SV61: mworld,SV142: $i,SV565: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ SV565 )
| ( inductive @ SV142 @ SV565 ) )
= $true )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2070]) ).
thf(2207,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV538: mworld,SV454: mworld] :
( ( ( ~ ( mrel @ SV454 @ SV538 ) )
= $true )
| ( ( ~ ! [SY2743: mworld] :
( ~ ( mrel @ SV538 @ SY2743 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2743 ) )
| ~ ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) ) )
= $true )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2071]) ).
thf(2208,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV539: mworld,SV454: mworld] :
( ( ( ~ ( mrel @ SV454 @ SV539 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2746: mworld] :
( ~ ( mrel @ SV539 @ SY2746 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2746 ) )
| ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
| ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2072]) ).
thf(2209,plain,
! [SV145: $i,SV64: mworld,SV520: mworld,SV222: mworld] :
( ( ( mrel @ SV222 @ SV520 )
= $false )
| ( ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ universal_class @ SV520 )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2073]) ).
thf(2210,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ! [SY2633: mworld] :
( ~ ( mrel @ SV222 @ SY2633 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2633 ) ) )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2074]) ).
thf(2211,plain,
! [SV145: $i,SV64: mworld,SV222: mworld] :
( ( ( ! [SY2634: mworld] :
( ~ ( mrel @ SV222 @ SY2634 )
| ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SY2634 ) ) )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2075]) ).
thf(2212,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ! [SY2710: mworld] :
( ~ ( mrel @ SV222 @ SY2710 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ universal_class @ SY2710 ) ) )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2076]) ).
thf(2213,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ~ ( ~ ! [SY2711: mworld] :
( ~ ( mrel @ SV222 @ SY2711 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2711 ) )
| ~ ! [SY2712: mworld] :
( ~ ( mrel @ SV222 @ SY2712 )
| ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2712 ) ) ) )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2077]) ).
thf(2214,plain,
! [SV146: $i,SV223: mworld,SV65: mworld,SV297: $i,SV417: mworld] :
( ( ( ~ ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) ) )
= $false )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2078]) ).
thf(2215,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV417: mworld] :
( ( ( ~ ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) )
= $false )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2078]) ).
thf(2216,plain,
! [SV223: mworld,SV65: mworld,SV146: $i,SV297: $i,SV417: mworld] :
( ( ( ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2079]) ).
thf(2217,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV417: mworld] :
( ( ( ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2080]) ).
thf(2218,plain,
! [SV297: $i,SV146: $i,SV223: mworld,SV65: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) ) )
= $false )
| ( ( ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2081]) ).
thf(2219,plain,
! [SV418: mworld,SV146: $i,SV223: mworld,SV65: mworld,SV297: $i] :
( ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2081]) ).
thf(2220,plain,
! [SV354: mworld,SV224: mworld,SV66: mworld,SV298: $i,SV147: $i,SV419: $i,SV566: mworld,SV456: mworld] :
( ( ( ~ ( mrel @ SV456 @ SV566 )
| ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SV566 ) )
= $true )
| ( ( mrel @ SV456 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) )
= $true )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2221,plain,
! [SV354: mworld,SV224: mworld,SV66: mworld,SV298: $i,SV147: $i,SV419: $i,SV540: mworld,SV456: mworld] :
( ( ( ~ ( mrel @ SV456 @ SV540 ) )
= $true )
| ( ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SV540 )
= $true )
| ( ( qmltpeq @ SV147 @ SV298 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) )
= $false )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2083]) ).
thf(2222,plain,
! [SV355: mworld,SV226: mworld,SV68: mworld,SV299: $i,SV420: $i,SV149: $i,SV567: mworld,SV457: mworld] :
( ( ( ~ ( mrel @ SV457 @ SV567 )
| ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SV567 ) )
= $true )
| ( ( mrel @ SV457 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) )
= $true )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2223,plain,
! [SV355: mworld,SV226: mworld,SV68: mworld,SV299: $i,SV420: $i,SV149: $i,SV541: mworld,SV457: mworld] :
( ( ( ~ ( mrel @ SV457 @ SV541 ) )
= $true )
| ( ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SV541 )
= $true )
| ( ( qmltpeq @ SV149 @ SV299 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) )
= $false )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2085]) ).
thf(2224,plain,
! [SV356: mworld,SV227: mworld,SV69: mworld,SV300: $i,SV421: $i,SV150: $i,SV568: mworld,SV458: mworld] :
( ( ( ~ ( mrel @ SV458 @ SV568 )
| ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SV568 ) )
= $true )
| ( ( mrel @ SV458 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) )
= $true )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2225,plain,
! [SV356: mworld,SV227: mworld,SV69: mworld,SV300: $i,SV421: $i,SV150: $i,SV542: mworld,SV458: mworld] :
( ( ( ~ ( mrel @ SV458 @ SV542 ) )
= $true )
| ( ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SV542 )
= $true )
| ( ( qmltpeq @ SV150 @ SV300 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) )
= $false )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2087]) ).
thf(2226,plain,
! [SV357: mworld,SV228: mworld,SV70: mworld,SV301: $i,SV422: $i,SV151: $i,SV569: mworld,SV459: mworld] :
( ( ( ~ ( mrel @ SV459 @ SV569 )
| ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SV569 ) )
= $true )
| ( ( mrel @ SV459 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) )
= $true )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2088]) ).
thf(2227,plain,
! [SV357: mworld,SV228: mworld,SV70: mworld,SV301: $i,SV422: $i,SV151: $i,SV543: mworld,SV459: mworld] :
( ( ( ~ ( mrel @ SV459 @ SV543 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SV543 )
= $true )
| ( ( qmltpeq @ SV151 @ SV301 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) )
= $false )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2089]) ).
thf(2228,plain,
! [SV152: $i,SV302: $i,SV423: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
| ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) ) )
= $false )
| ( ( ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2090]) ).
thf(2229,plain,
! [SV360: mworld,SV232: mworld,SV74: mworld,SV304: $i,SV424: $i,SV155: $i,SV570: mworld,SV461: mworld] :
( ( ( ~ ( mrel @ SV461 @ SV570 )
| ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SV570 ) )
= $true )
| ( ( mrel @ SV461 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) )
= $true )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2091]) ).
thf(2230,plain,
! [SV360: mworld,SV232: mworld,SV74: mworld,SV304: $i,SV424: $i,SV155: $i,SV544: mworld,SV461: mworld] :
( ( ( ~ ( mrel @ SV461 @ SV544 ) )
= $true )
| ( ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SV544 )
= $true )
| ( ( qmltpeq @ SV155 @ SV304 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) )
= $false )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2092]) ).
thf(2231,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV545: mworld,SV462: mworld] :
( ( ( ~ ( mrel @ SV462 @ SV545 ) )
= $true )
| ( ( ~ ! [SY2749: mworld] :
( ~ ( mrel @ SV545 @ SY2749 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2749 ) )
| ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) ) )
= $true )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2093]) ).
thf(2232,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV546: mworld,SV462: mworld] :
( ( ( ~ ( mrel @ SV462 @ SV546 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2752: mworld] :
( ~ ( mrel @ SV546 @ SY2752 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2752 ) )
| ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
| ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2094]) ).
thf(2233,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV547: mworld,SV463: mworld] :
( ( ( ~ ( mrel @ SV463 @ SV547 ) )
= $true )
| ( ( ~ ! [SY2755: mworld] :
( ~ ( mrel @ SV547 @ SY2755 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2755 ) )
| ~ ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) ) )
= $true )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2095]) ).
thf(2234,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV548: mworld,SV463: mworld] :
( ( ( ~ ( mrel @ SV463 @ SV548 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2758: mworld] :
( ~ ( mrel @ SV548 @ SY2758 )
| ( member @ SV426 @ universal_class @ SY2758 ) )
| ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
| ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2096]) ).
thf(2235,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV549: mworld,SV464: mworld] :
( ( ( ~ ( mrel @ SV464 @ SV549 ) )
= $true )
| ( ( ~ ! [SY2761: mworld] :
( ~ ( mrel @ SV549 @ SY2761 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2761 ) )
| ~ ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) ) )
= $true )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2097]) ).
thf(2236,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV550: mworld,SV464: mworld] :
( ( ( ~ ( mrel @ SV464 @ SV550 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2764: mworld] :
( ~ ( mrel @ SV550 @ SY2764 )
| ( member @ SV159 @ SV427 @ SY2764 ) )
| ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
| ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2098]) ).
thf(2237,plain,
! [SV428: $i,SV161: $i,SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV487: mworld] :
( ( ( ~ ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2099]) ).
thf(2238,plain,
! [SV80: mworld,SV238: mworld,SV366: mworld,SV310: $i,SV161: $i,SV428: $i,SV488: mworld] :
( ( ( ~ ! [SY2693: mworld] :
( ~ ( mrel @ SV488 @ SY2693 )
| ( member @ SV428 @ SV161 @ SY2693 ) )
| ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2100]) ).
thf(2239,plain,
! [SV86: $i,SV245: $i,SV374: $i,SV466: $i,SV429: mworld,SV314: mworld,SV165: mworld,SV3: mworld,SV492: mworld] :
( ( ( ~ ( mrel @ SV492 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) )
| ( qmltpeq @ SV86 @ SV245 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) ) )
= $false )
| ( ( ! [SY2697: mworld] :
( ~ ( mrel @ SV492 @ SY2697 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SY2697 ) ) )
= $true )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2101]) ).
thf(2240,plain,
! [SV87: $i,SV166: mworld,SV4: mworld,SV246: $i,SV375: mworld] :
( ( ( ! [SY2295: mworld] :
( ~ ( mrel @ SV375 @ SY2295 )
| ( member @ SV246 @ universal_class @ SY2295 ) ) )
= $true )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2102]) ).
thf(2241,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV375: mworld] :
( ( ( ! [SY2296: mworld] :
( ~ ( mrel @ SV375 @ SY2296 )
| ~ ! [SY1666: mworld] :
( ~ ( mrel @ SY2296 @ SY1666 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1666 ) ) ) )
= $true )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2103]) ).
thf(2242,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV571: mworld,SV375: mworld] :
( ( ( ~ ( mrel @ SV375 @ SV571 )
| ( member @ SV246 @ universal_class @ SV571 ) )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2104]) ).
thf(2243,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV572: mworld,SV375: mworld] :
( ( ( ~ ( mrel @ SV375 @ SV572 )
| ~ ! [SY2769: mworld] :
( ~ ( mrel @ SV572 @ SY2769 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2769 ) ) )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2105]) ).
thf(2244,plain,
! [SV246: $i,SV87: $i,SV166: mworld,SV4: mworld,SV376: mworld] :
( ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( ~ ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2106]) ).
thf(2245,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV376: mworld] :
( ( ( ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
= $false )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2107]) ).
thf(2246,plain,
! [SV315: mworld,SV167: mworld,SV5: mworld,SV247: $i,SV377: $i,SV88: $i,SV551: mworld,SV430: mworld] :
( ( ( ~ ( mrel @ SV430 @ SV551 ) )
= $true )
| ( ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SV551 )
= $true )
| ( ( mrel @ SV430 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) )
= $true )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2108]) ).
thf(2247,plain,
! [SV315: mworld,SV167: mworld,SV5: mworld,SV247: $i,SV377: $i,SV88: $i,SV521: mworld,SV430: mworld] :
( ( ( mrel @ SV430 @ SV521 )
= $false )
| ( ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SV521 )
= $true )
| ( ( qmltpeq @ SV88 @ SV247 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) )
= $false )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2109]) ).
thf(2248,plain,
! [SV89: $i,SV248: $i,SV378: $i,SV467: $i,SV431: mworld,SV316: mworld,SV168: mworld,SV6: mworld,SV493: mworld] :
( ( ( ~ ( mrel @ SV493 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) )
| ( qmltpeq @ SV89 @ SV248 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) ) )
= $false )
| ( ( ! [SY2699: mworld] :
( ~ ( mrel @ SV493 @ SY2699 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SY2699 ) ) )
= $true )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2110]) ).
thf(2249,plain,
! [SV317: mworld,SV169: mworld,SV7: mworld,SV249: $i,SV90: $i,SV379: $i,SV552: mworld,SV432: mworld] :
( ( ( ~ ( mrel @ SV432 @ SV552 ) )
= $true )
| ( ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SV552 )
= $true )
| ( ( mrel @ SV432 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) )
= $true )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2111]) ).
thf(2250,plain,
! [SV317: mworld,SV169: mworld,SV7: mworld,SV249: $i,SV90: $i,SV379: $i,SV522: mworld,SV432: mworld] :
( ( ( mrel @ SV432 @ SV522 )
= $false )
| ( ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SV522 )
= $true )
| ( ( qmltpeq @ SV90 @ SV249 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) )
= $false )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2112]) ).
thf(2251,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV380: mworld] :
( ( ( ~ ( ~ ! [SY2767: mworld] :
( ~ ( mrel @ SV380 @ SY2767 )
| ( member @ SV91 @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SY2767 ) )
| ~ ! [SY2768: mworld] :
( ~ ( mrel @ SV380 @ SY2768 )
| ( member @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SY2768 ) ) ) )
= $true )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2113]) ).
thf(2252,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV380: mworld] :
( ( ( ~ ! [SY2729: mworld] :
( ~ ( mrel @ SV380 @ SY2729 )
| ( member @ SV91 @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SY2729 ) )
| ~ ! [SY2730: mworld] :
( ~ ( mrel @ SV380 @ SY2730 )
| ( member @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SY2730 ) ) )
= $false )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2114]) ).
thf(2253,plain,
! [SV8: mworld,SV170: mworld,SV250: $i,SV508: $i,SV91: $i,SV381: mworld] :
( ( ( ! [SY2713: mworld] :
( ~ ( mrel @ SV381 @ SY2713 )
| ( member @ SV91 @ SV508 @ SY2713 ) ) )
= $false )
| ( ( ~ ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2115]) ).
thf(2254,plain,
! [SV321: mworld,SV175: mworld,SV13: mworld,SV254: $i,SV96: $i,SV383: $i,SV553: mworld,SV434: mworld] :
( ( ( ~ ( mrel @ SV434 @ SV553 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SV553 )
= $true )
| ( ( mrel @ SV434 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) )
= $true )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2116]) ).
thf(2255,plain,
! [SV321: mworld,SV175: mworld,SV13: mworld,SV254: $i,SV96: $i,SV383: $i,SV523: mworld,SV434: mworld] :
( ( ( mrel @ SV434 @ SV523 )
= $false )
| ( ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SV523 )
= $true )
| ( ( qmltpeq @ SV96 @ SV254 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) )
= $false )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2117]) ).
thf(2256,plain,
! [SV256: $i,SV15: mworld,SV177: mworld,SV98: $i,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) ) )
= $false )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2118]) ).
thf(2257,plain,
! [SV323: mworld,SV15: mworld,SV177: mworld,SV98: $i,SV256: $i] :
( ( ( function @ SV256 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) )
= $false )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2118]) ).
thf(2258,plain,
! [SV256: $i,SV98: $i,SV15: mworld,SV177: mworld,SV323: mworld] :
( ( ( mrel @ SV323 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) )
= $true )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2119]) ).
thf(2259,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV573: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ SV573 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV573 ) )
= $true )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( function @ SV256 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) )
= $false )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2120]) ).
thf(2260,plain,
! [SV384: $i,SV103: $i,SV259: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV471: mworld] :
( ( ( ~ ( mrel @ SV471 @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) ) )
= $false )
| ( ( ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) )
| ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2121]) ).
thf(2261,plain,
! [SV471: mworld,SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i] :
( ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $false )
| ( ( ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) )
| ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2121]) ).
thf(2262,plain,
! [SV384: $i,SV103: $i,SV259: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) )
| ( member @ SV384 @ SV103 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) ) )
= $false )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2122]) ).
thf(2263,plain,
! [SV384: $i,SV259: $i,SV103: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) )
| ( member @ SV384 @ SV259 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) ) )
= $false )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2123]) ).
thf(2264,plain,
! [SV104: $i,SV260: $i,SV385: $i,SV473: $i,SV435: mworld,SV327: mworld,SV183: mworld,SV21: mworld,SV497: mworld] :
( ( ( ~ ( mrel @ SV497 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) )
| ( qmltpeq @ SV104 @ SV260 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) ) )
= $false )
| ( ( ! [SY2701: mworld] :
( ~ ( mrel @ SV497 @ SY2701 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SY2701 ) ) )
= $true )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2124]) ).
thf(2265,plain,
! [SV261: $i,SV185: mworld,SV23: mworld,SV106: $i,SV386: mworld] :
( ( ( ! [SY2339: mworld] :
( ~ ( mrel @ SV386 @ SY2339 )
| ( member @ SV106 @ universal_class @ SY2339 ) ) )
= $true )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2125]) ).
thf(2266,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV386: mworld] :
( ( ( ! [SY2340: mworld] :
( ~ ( mrel @ SV386 @ SY2340 )
| ( subclass @ SV106 @ SV261 @ SY2340 ) ) )
= $true )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2126]) ).
thf(2267,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV574: mworld,SV386: mworld] :
( ( ( ~ ( mrel @ SV386 @ SV574 )
| ( member @ SV106 @ universal_class @ SV574 ) )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2127]) ).
thf(2268,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV575: mworld,SV386: mworld] :
( ( ( ~ ( mrel @ SV386 @ SV575 )
| ( subclass @ SV106 @ SV261 @ SV575 ) )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2269,plain,
! [SV106: $i,SV261: $i,SV185: mworld,SV23: mworld,SV387: mworld] :
( ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( ~ ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2129]) ).
thf(2270,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV387: mworld] :
( ( ( ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
= $false )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2130]) ).
thf(2271,plain,
! [SV328: mworld,SV186: mworld,SV24: mworld,SV262: $i,SV388: $i,SV107: $i,SV554: mworld,SV436: mworld] :
( ( ( ~ ( mrel @ SV436 @ SV554 ) )
= $true )
| ( ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SV554 )
= $true )
| ( ( mrel @ SV436 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) )
= $true )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2131]) ).
thf(2272,plain,
! [SV328: mworld,SV186: mworld,SV24: mworld,SV262: $i,SV388: $i,SV107: $i,SV524: mworld,SV436: mworld] :
( ( ( mrel @ SV436 @ SV524 )
= $false )
| ( ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SV524 )
= $true )
| ( ( qmltpeq @ SV107 @ SV262 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) )
= $false )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2132]) ).
thf(2273,plain,
! [SV108: $i,SV263: $i,SV389: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) ) )
= $false )
| ( ( ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2133]) ).
thf(2274,plain,
! [SV437: mworld,SV389: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV263: $i,SV108: $i] :
( ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2133]) ).
thf(2275,plain,
! [SV109: $i,SV188: mworld,SV26: mworld,SV264: $i,SV390: mworld] :
( ( ( ! [SY2352: mworld] :
( ~ ( mrel @ SV390 @ SY2352 )
| ( member @ SV264 @ universal_class @ SY2352 ) ) )
= $true )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2134]) ).
thf(2276,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV390: mworld] :
( ( ( ! [SY2353: mworld] :
( ~ ( mrel @ SV390 @ SY2353 )
| ~ ! [SY1762: mworld] :
( ~ ( mrel @ SY2353 @ SY1762 )
| ( member @ SV264 @ SV109 @ SY1762 ) ) ) )
= $true )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2135]) ).
thf(2277,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV576: mworld,SV390: mworld] :
( ( ( ~ ( mrel @ SV390 @ SV576 )
| ( member @ SV264 @ universal_class @ SV576 ) )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2136]) ).
thf(2278,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV577: mworld,SV390: mworld] :
( ( ( ~ ( mrel @ SV390 @ SV577 )
| ~ ! [SY2770: mworld] :
( ~ ( mrel @ SV577 @ SY2770 )
| ( member @ SV264 @ SV109 @ SY2770 ) ) )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2137]) ).
thf(2279,plain,
! [SV264: $i,SV109: $i,SV188: mworld,SV26: mworld,SV391: mworld] :
( ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( ~ ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2138]) ).
thf(2280,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV391: mworld] :
( ( ( ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
= $false )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2139]) ).
thf(2281,plain,
! [SV330: mworld,SV189: mworld,SV27: mworld,SV265: $i,SV392: $i,SV110: $i,SV555: mworld,SV438: mworld] :
( ( ( ~ ( mrel @ SV438 @ SV555 ) )
= $true )
| ( ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SV555 )
= $true )
| ( ( mrel @ SV438 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) )
= $true )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2140]) ).
thf(2282,plain,
! [SV330: mworld,SV189: mworld,SV27: mworld,SV265: $i,SV392: $i,SV110: $i,SV525: mworld,SV438: mworld] :
( ( ( mrel @ SV438 @ SV525 )
= $false )
| ( ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SV525 )
= $true )
| ( ( qmltpeq @ SV110 @ SV265 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) )
= $false )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2141]) ).
thf(2283,plain,
! [SV331: mworld,SV190: mworld,SV28: mworld,SV266: $i,SV393: $i,SV111: $i,SV556: mworld,SV439: mworld] :
( ( ( ~ ( mrel @ SV439 @ SV556 ) )
= $true )
| ( ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SV556 )
= $true )
| ( ( mrel @ SV439 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) )
= $true )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2142]) ).
thf(2284,plain,
! [SV331: mworld,SV190: mworld,SV28: mworld,SV266: $i,SV393: $i,SV111: $i,SV526: mworld,SV439: mworld] :
( ( ( mrel @ SV439 @ SV526 )
= $false )
| ( ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SV526 )
= $true )
| ( ( qmltpeq @ SV111 @ SV266 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) )
= $false )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2143]) ).
thf(2285,plain,
! [SV114: $i,SV269: $i,SV394: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) ) )
= $false )
| ( ( ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2144]) ).
thf(2286,plain,
! [SV440: mworld,SV394: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV269: $i,SV114: $i] :
( ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2144]) ).
thf(2287,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV527: mworld,SV395: mworld] :
( ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( ! [SY2731: $i,SY2732: mworld] :
( ~ ( mrel @ SV527 @ SY2732 )
| ~ ! [SY840: mworld] :
( ~ ( mrel @ SY2732 @ SY840 )
| ( member @ SY2731 @ SV115 @ SY840 ) )
| ! [SY1794: mworld] :
( ~ ( mrel @ SY2732 @ SY1794 )
| ( member @ SY2731 @ SV270 @ SY1794 ) ) ) )
= $true )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2145]) ).
thf(2288,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV270: $i,SV115: $i,SV578: $i,SV513: mworld] :
( ( ( ! [SY2771: mworld] :
( ~ ( mrel @ SV513 @ SY2771 )
| ~ ! [SY2772: mworld] :
( ~ ( mrel @ SY2771 @ SY2772 )
| ( member @ SV578 @ SV115 @ SY2772 ) )
| ! [SY2773: mworld] :
( ~ ( mrel @ SY2771 @ SY2773 )
| ( member @ SV578 @ SV270 @ SY2773 ) ) ) )
= $true )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2146]) ).
thf(2289,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV528: mworld,SV396: mworld] :
( ( ( mrel @ SV396 @ SV528 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ SV528 )
= $true )
| ( ( mrel @ SV396 @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2147]) ).
thf(2290,plain,
! [SV396: mworld,SV115: $i,SV270: $i,SV194: mworld,SV33: mworld] :
( ( ( mrel @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) )
= $true )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2148]) ).
thf(2291,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( ~ ! [SY2735: mworld] :
( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SY2735 )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SY2735 ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2149]) ).
thf(2292,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( ! [SY2736: mworld] :
( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SY2736 )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV270 @ SY2736 ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2149]) ).
thf(2293,plain,
! [SV116: $i,SV34: mworld,SV195: mworld,SV271: $i,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) ) )
= $false )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2294,plain,
! [SV335: mworld,SV34: mworld,SV195: mworld,SV271: $i,SV116: $i] :
( ( ( function @ SV116 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) )
= $false )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2295,plain,
! [SV116: $i,SV271: $i,SV34: mworld,SV195: mworld,SV335: mworld] :
( ( ( mrel @ SV335 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2151]) ).
thf(2296,plain,
! [SV195: mworld,SV34: mworld,SV116: $i,SV271: $i,SV579: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ SV579 )
| ( function @ SV271 @ SV579 ) )
= $true )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( function @ SV116 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2152]) ).
thf(2297,plain,
! [SV337: mworld,SV197: mworld,SV36: mworld,SV273: $i,SV118: $i,SV397: $i,SV557: mworld,SV441: mworld] :
( ( ( ~ ( mrel @ SV441 @ SV557 ) )
= $true )
| ( ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SV557 )
= $true )
| ( ( mrel @ SV441 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) )
= $true )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2153]) ).
thf(2298,plain,
! [SV337: mworld,SV197: mworld,SV36: mworld,SV273: $i,SV118: $i,SV397: $i,SV529: mworld,SV441: mworld] :
( ( ( mrel @ SV441 @ SV529 )
= $false )
| ( ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SV529 )
= $true )
| ( ( qmltpeq @ SV118 @ SV273 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) )
= $false )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2154]) ).
thf(2299,plain,
! [SV338: mworld,SV198: mworld,SV37: mworld,SV274: $i,SV119: $i,SV398: $i,SV558: mworld,SV442: mworld] :
( ( ( ~ ( mrel @ SV442 @ SV558 ) )
= $true )
| ( ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SV558 )
= $true )
| ( ( mrel @ SV442 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) )
= $true )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2155]) ).
thf(2300,plain,
! [SV338: mworld,SV198: mworld,SV37: mworld,SV274: $i,SV119: $i,SV398: $i,SV530: mworld,SV442: mworld] :
( ( ( mrel @ SV442 @ SV530 )
= $false )
| ( ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SV530 )
= $true )
| ( ( qmltpeq @ SV119 @ SV274 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) )
= $false )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2156]) ).
thf(2301,plain,
! [SV121: $i,SV275: $i,SV400: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) ) )
= $false )
| ( ( ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2157]) ).
thf(2302,plain,
! [SV444: mworld,SV400: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV275: $i,SV121: $i] :
( ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2157]) ).
thf(2303,plain,
! [SV340: mworld,SV201: mworld,SV40: mworld,SV276: $i,SV122: $i,SV401: $i,SV559: mworld,SV445: mworld] :
( ( ( ~ ( mrel @ SV445 @ SV559 ) )
= $true )
| ( ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SV559 )
= $true )
| ( ( mrel @ SV445 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) )
= $true )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2158]) ).
thf(2304,plain,
! [SV340: mworld,SV201: mworld,SV40: mworld,SV276: $i,SV122: $i,SV401: $i,SV531: mworld,SV445: mworld] :
( ( ( mrel @ SV445 @ SV531 )
= $false )
| ( ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SV531 )
= $true )
| ( ( qmltpeq @ SV122 @ SV276 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) )
= $false )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2159]) ).
thf(2305,plain,
! [SV341: mworld,SV202: mworld,SV41: mworld,SV277: $i,SV123: $i,SV402: $i,SV560: mworld,SV446: mworld] :
( ( ( ~ ( mrel @ SV446 @ SV560 ) )
= $true )
| ( ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SV560 )
= $true )
| ( ( mrel @ SV446 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) )
= $true )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2160]) ).
thf(2306,plain,
! [SV341: mworld,SV202: mworld,SV41: mworld,SV277: $i,SV123: $i,SV402: $i,SV532: mworld,SV446: mworld] :
( ( ( mrel @ SV446 @ SV532 )
= $false )
| ( ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SV532 )
= $true )
| ( ( qmltpeq @ SV123 @ SV277 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) )
= $false )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2161]) ).
thf(2307,plain,
! [SV124: $i,SV278: $i,SV403: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) ) )
= $false )
| ( ( ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2162]) ).
thf(2308,plain,
! [SV447: mworld,SV403: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV278: $i,SV124: $i] :
( ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2162]) ).
thf(2309,plain,
! [SV343: mworld,SV205: mworld,SV44: mworld,SV279: $i,SV126: $i,SV405: $i,SV561: mworld,SV449: mworld] :
( ( ( ~ ( mrel @ SV449 @ SV561 ) )
= $true )
| ( ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SV561 )
= $true )
| ( ( mrel @ SV449 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) )
= $true )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2163]) ).
thf(2310,plain,
! [SV343: mworld,SV205: mworld,SV44: mworld,SV279: $i,SV126: $i,SV405: $i,SV533: mworld,SV449: mworld] :
( ( ( mrel @ SV449 @ SV533 )
= $false )
| ( ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SV533 )
= $true )
| ( ( qmltpeq @ SV126 @ SV279 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) )
= $false )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2164]) ).
thf(2311,plain,
! [SV127: $i,SV45: mworld,SV206: mworld,SV280: $i,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) ) )
= $false )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2165]) ).
thf(2312,plain,
! [SV344: mworld,SV45: mworld,SV206: mworld,SV280: $i,SV127: $i] :
( ( ( inductive @ SV127 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) )
= $false )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2165]) ).
thf(2313,plain,
! [SV127: $i,SV280: $i,SV45: mworld,SV206: mworld,SV344: mworld] :
( ( ( mrel @ SV344 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2166]) ).
thf(2314,plain,
! [SV206: mworld,SV45: mworld,SV127: $i,SV280: $i,SV580: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ SV580 )
| ( inductive @ SV280 @ SV580 ) )
= $true )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( inductive @ SV127 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2167]) ).
thf(2315,plain,
! [SV128: $i,SV281: $i,SV406: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) ) )
= $false )
| ( ( ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2168]) ).
thf(2316,plain,
! [SV450: mworld,SV406: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV281: $i,SV128: $i] :
( ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2168]) ).
thf(2317,plain,
! [SV243: mworld,SV370: $i,SV534: mworld,SV373: mworld] :
( ( ( mrel @ SV373 @ SV534 )
= $false )
| ( ( qmltpeq @ SV370 @ null_class @ SV534 )
= $true )
| ( ( ! [SY2288: mworld] :
( ~ ( mrel @ SV373 @ SY2288 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SY2288 ) ) )
= $true )
| ( ( mrel @ SV373 @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2169]) ).
thf(2318,plain,
! [SV243: mworld,SV514: mworld,SV370: $i,SV581: mworld,SV373: mworld] :
( ( ( ~ ( mrel @ SV373 @ SV581 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SV581 ) )
= $true )
| ( ( qmltpeq @ SV370 @ null_class @ SV514 )
= $true )
| ( ( mrel @ SV373 @ SV514 )
= $false )
| ( ( member @ SV370 @ universal_class @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $false )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2170]) ).
thf(2319,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV407: mworld] :
( ( ( ! [SY2409: mworld] :
( ~ ( mrel @ SV407 @ SY2409 )
| ( subclass @ SV130 @ SV282 @ SY2409 ) ) )
= $true )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2171]) ).
thf(2320,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV407: mworld] :
( ( ( ! [SY2410: mworld] :
( ~ ( mrel @ SV407 @ SY2410 )
| ( subclass @ SV282 @ SV130 @ SY2410 ) ) )
= $true )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2172]) ).
thf(2321,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV582: mworld,SV407: mworld] :
( ( ( ~ ( mrel @ SV407 @ SV582 )
| ( subclass @ SV130 @ SV282 @ SV582 ) )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2173]) ).
thf(2322,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV583: mworld,SV407: mworld] :
( ( ( ~ ( mrel @ SV407 @ SV583 )
| ( subclass @ SV282 @ SV130 @ SV583 ) )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2174]) ).
thf(2323,plain,
! [SV130: $i,SV282: $i,SV209: mworld,SV48: mworld,SV408: mworld] :
( ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( ~ ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2175]) ).
thf(2324,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV408: mworld] :
( ( ( ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
= $false )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2176]) ).
thf(2325,plain,
! [SV372: mworld,SV451: $i,SV584: mworld,SV465: mworld] :
( ( ( ~ ( mrel @ SV465 @ SV584 )
| ( subclass @ sK3_SX0 @ SV451 @ SV584 ) )
= $true )
| ( ( mrel @ SV465 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) )
= $true )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2326,plain,
! [SV372: mworld,SV451: $i,SV562: mworld,SV465: mworld] :
( ( ( ~ ( mrel @ SV465 @ SV562 ) )
= $true )
| ( ( subclass @ sK3_SX0 @ SV451 @ SV562 )
= $true )
| ( ( inductive @ SV451 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) )
= $false )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2178]) ).
thf(2327,plain,
! [SV136: $i,SV286: $i,SV409: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) ) )
= $false )
| ( ( ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2328,plain,
! [SV452: mworld,SV409: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV286: $i,SV136: $i] :
( ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2329,plain,
! [SV137: $i,SV55: mworld,SV288: mworld] :
( ( ( mrel @ SV288 @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( ! [SY1884: mworld] :
( ~ ( mrel @ SV288 @ SY1884 )
| ( function @ SV137 @ SY1884 ) ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2182]) ).
thf(2330,plain,
! [SV55: mworld,SV137: $i,SV585: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ SV585 )
| ( function @ SV137 @ SV585 ) )
= $true )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2183]) ).
thf(2331,plain,
! [SV55: mworld,SV137: $i,SV586: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ SV586 )
| ( function @ SV137 @ SV586 ) )
= $true )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( mrel @ SV288 @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2184]) ).
thf(2332,plain,
! [SV55: mworld,SV137: $i,SV563: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ SV563 ) )
= $true )
| ( ( function @ SV137 @ SV563 )
= $true )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2185]) ).
thf(2333,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV535: mworld,SV410: mworld] :
( ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( ! [SY2737: $i,SY2738: mworld] :
( ~ ( mrel @ SV535 @ SY2738 )
| ~ ~ ( ~ ! [SY984: mworld] :
( ~ ( mrel @ SY2738 @ SY984 )
| ( member @ SY2737 @ SV138 @ SY984 ) )
| ~ ! [SY1891: mworld] :
( ~ ( mrel @ SY2738 @ SY1891 )
| ( member @ SY2737 @ SV289 @ SY1891 ) ) ) ) )
= $true )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2186]) ).
thf(2334,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV289: $i,SV138: $i,SV587: $i,SV517: mworld] :
( ( ( ! [SY2774: mworld] :
( ~ ( mrel @ SV517 @ SY2774 )
| ~ ~ ( ~ ! [SY2775: mworld] :
( ~ ( mrel @ SY2774 @ SY2775 )
| ( member @ SV587 @ SV138 @ SY2775 ) )
| ~ ! [SY2776: mworld] :
( ~ ( mrel @ SY2774 @ SY2776 )
| ( member @ SV587 @ SV289 @ SY2776 ) ) ) ) )
= $true )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2187]) ).
thf(2335,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV536: mworld,SV411: mworld] :
( ( ( mrel @ SV411 @ SV536 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ SV536 )
= $true )
| ( ( mrel @ SV411 @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2188]) ).
thf(2336,plain,
! [SV411: mworld,SV138: $i,SV289: $i,SV216: mworld,SV56: mworld] :
( ( ( mrel @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2189]) ).
thf(2337,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ~ ( ~ ! [SY2741: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2741 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SY2741 ) )
| ~ ! [SY2742: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2742 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SY2742 ) ) ) )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2190]) ).
thf(2338,plain,
! [SV290: $i,SV217: mworld,SV57: mworld,SV139: $i,SV412: mworld] :
( ( ( ! [SY2431: mworld] :
( ~ ( mrel @ SV412 @ SY2431 )
| ( member @ SV139 @ universal_class @ SY2431 ) ) )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2191]) ).
thf(2339,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV412: mworld] :
( ( ( ~ ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) ) )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2192]) ).
thf(2340,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV588: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV588 )
| ( member @ SV139 @ universal_class @ SV588 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2193]) ).
thf(2341,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV412: mworld] :
( ( ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2194]) ).
thf(2342,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2195]) ).
thf(2343,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV413: mworld] :
( ( ( ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
= $false )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2196]) ).
thf(2344,plain,
! [SV140: $i,SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2345,plain,
! [SV479: mworld,SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i] :
( ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( ~ ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2346,plain,
! [SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV291: $i,SV140: $i,SV480: mworld] :
( ( ( ~ ! [SY2654: mworld] :
( ~ ( mrel @ SV480 @ SY2654 )
| ( member @ SV140 @ universal_class @ SY2654 ) ) )
= $true )
| ( ( ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2198]) ).
thf(2347,plain,
! [SV141: $i,SV292: $i,SV351: mworld,SV219: mworld,SV60: mworld,SV415: $i,SV564: mworld,SV453: mworld] :
( ( ( ~ ( mrel @ SV453 @ SV564 ) )
= $true )
| ( ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SV564 )
= $true )
| ( ( mrel @ SV453 @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) )
= $true )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2199]) ).
thf(2348,plain,
! [SV351: mworld,SV219: mworld,SV60: mworld,SV292: $i,SV141: $i,SV415: $i,SV537: mworld,SV453: mworld] :
( ( ( mrel @ SV453 @ SV537 )
= $false )
| ( ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SV537 )
= $true )
| ( ( member @ SV415 @ ( cross_product @ SV141 @ SV292 ) @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) )
= $false )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2200]) ).
thf(2349,plain,
! [SV142: $i,SV61: mworld,SV294: mworld] :
( ( ( mrel @ SV294 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( ! [SY1931: mworld] :
( ~ ( mrel @ SV294 @ SY1931 )
| ( inductive @ SV142 @ SY1931 ) ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2203]) ).
thf(2350,plain,
! [SV61: mworld,SV142: $i,SV589: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ SV589 )
| ( inductive @ SV142 @ SV589 ) )
= $true )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2204]) ).
thf(2351,plain,
! [SV61: mworld,SV142: $i,SV590: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ SV590 )
| ( inductive @ SV142 @ SV590 ) )
= $true )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( mrel @ SV294 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2352,plain,
! [SV61: mworld,SV142: $i,SV565: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ SV565 ) )
= $true )
| ( ( inductive @ SV142 @ SV565 )
= $true )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2206]) ).
thf(2353,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV538: mworld,SV454: mworld] :
( ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( ~ ! [SY2743: mworld] :
( ~ ( mrel @ SV538 @ SY2743 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2743 ) )
| ~ ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) ) )
= $true )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2207]) ).
thf(2354,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV539: mworld,SV454: mworld] :
( ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2746: mworld] :
( ~ ( mrel @ SV539 @ SY2746 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2746 ) )
| ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
| ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2208]) ).
thf(2355,plain,
! [SV145: $i,SV64: mworld,SV591: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV591 )
| ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SV591 ) )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2210]) ).
thf(2356,plain,
! [SV145: $i,SV64: mworld,SV592: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV592 )
| ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SV592 ) )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2211]) ).
thf(2357,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV593: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV593 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ universal_class @ SV593 ) )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2212]) ).
thf(2358,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ~ ! [SY2711: mworld] :
( ~ ( mrel @ SV222 @ SY2711 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2711 ) )
| ~ ! [SY2712: mworld] :
( ~ ( mrel @ SV222 @ SY2712 )
| ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2712 ) ) )
= $false )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2213]) ).
thf(2359,plain,
! [SV146: $i,SV223: mworld,SV65: mworld,SV297: $i,SV417: mworld] :
( ( ( ! [SY2462: mworld] :
( ~ ( mrel @ SV417 @ SY2462 )
| ( member @ SV297 @ universal_class @ SY2462 ) ) )
= $true )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2214]) ).
thf(2360,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV417: mworld] :
( ( ( ! [SY2463: mworld] :
( ~ ( mrel @ SV417 @ SY2463 )
| ( member @ SV146 @ SV297 @ SY2463 ) ) )
= $true )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2215]) ).
thf(2361,plain,
! [SV223: mworld,SV65: mworld,SV146: $i,SV297: $i,SV594: mworld,SV417: mworld] :
( ( ( ~ ( mrel @ SV417 @ SV594 )
| ( member @ SV297 @ universal_class @ SV594 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2216]) ).
thf(2362,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV595: mworld,SV417: mworld] :
( ( ( ~ ( mrel @ SV417 @ SV595 )
| ( member @ SV146 @ SV297 @ SV595 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2217]) ).
thf(2363,plain,
! [SV297: $i,SV146: $i,SV223: mworld,SV65: mworld,SV418: mworld] :
( ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( ~ ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2364,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV418: mworld] :
( ( ( ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
= $false )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2219]) ).
thf(2365,plain,
! [SV354: mworld,SV224: mworld,SV66: mworld,SV298: $i,SV147: $i,SV419: $i,SV566: mworld,SV456: mworld] :
( ( ( ~ ( mrel @ SV456 @ SV566 ) )
= $true )
| ( ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SV566 )
= $true )
| ( ( mrel @ SV456 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) )
= $true )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2220]) ).
thf(2366,plain,
! [SV354: mworld,SV224: mworld,SV66: mworld,SV298: $i,SV147: $i,SV419: $i,SV540: mworld,SV456: mworld] :
( ( ( mrel @ SV456 @ SV540 )
= $false )
| ( ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SV540 )
= $true )
| ( ( qmltpeq @ SV147 @ SV298 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) )
= $false )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2221]) ).
thf(2367,plain,
! [SV355: mworld,SV226: mworld,SV68: mworld,SV299: $i,SV420: $i,SV149: $i,SV567: mworld,SV457: mworld] :
( ( ( ~ ( mrel @ SV457 @ SV567 ) )
= $true )
| ( ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SV567 )
= $true )
| ( ( mrel @ SV457 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) )
= $true )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2222]) ).
thf(2368,plain,
! [SV355: mworld,SV226: mworld,SV68: mworld,SV299: $i,SV420: $i,SV149: $i,SV541: mworld,SV457: mworld] :
( ( ( mrel @ SV457 @ SV541 )
= $false )
| ( ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SV541 )
= $true )
| ( ( qmltpeq @ SV149 @ SV299 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) )
= $false )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2223]) ).
thf(2369,plain,
! [SV356: mworld,SV227: mworld,SV69: mworld,SV300: $i,SV421: $i,SV150: $i,SV568: mworld,SV458: mworld] :
( ( ( ~ ( mrel @ SV458 @ SV568 ) )
= $true )
| ( ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SV568 )
= $true )
| ( ( mrel @ SV458 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) )
= $true )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2224]) ).
thf(2370,plain,
! [SV356: mworld,SV227: mworld,SV69: mworld,SV300: $i,SV421: $i,SV150: $i,SV542: mworld,SV458: mworld] :
( ( ( mrel @ SV458 @ SV542 )
= $false )
| ( ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SV542 )
= $true )
| ( ( qmltpeq @ SV150 @ SV300 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) )
= $false )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2225]) ).
thf(2371,plain,
! [SV357: mworld,SV228: mworld,SV70: mworld,SV301: $i,SV422: $i,SV151: $i,SV569: mworld,SV459: mworld] :
( ( ( ~ ( mrel @ SV459 @ SV569 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SV569 )
= $true )
| ( ( mrel @ SV459 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) )
= $true )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2226]) ).
thf(2372,plain,
! [SV357: mworld,SV228: mworld,SV70: mworld,SV301: $i,SV422: $i,SV151: $i,SV543: mworld,SV459: mworld] :
( ( ( mrel @ SV459 @ SV543 )
= $false )
| ( ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SV543 )
= $true )
| ( ( qmltpeq @ SV151 @ SV301 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) )
= $false )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2227]) ).
thf(2373,plain,
! [SV152: $i,SV302: $i,SV423: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) ) )
= $false )
| ( ( ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2228]) ).
thf(2374,plain,
! [SV460: mworld,SV423: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV302: $i,SV152: $i] :
( ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2228]) ).
thf(2375,plain,
! [SV360: mworld,SV232: mworld,SV74: mworld,SV304: $i,SV424: $i,SV155: $i,SV570: mworld,SV461: mworld] :
( ( ( ~ ( mrel @ SV461 @ SV570 ) )
= $true )
| ( ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SV570 )
= $true )
| ( ( mrel @ SV461 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) )
= $true )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2229]) ).
thf(2376,plain,
! [SV360: mworld,SV232: mworld,SV74: mworld,SV304: $i,SV424: $i,SV155: $i,SV544: mworld,SV461: mworld] :
( ( ( mrel @ SV461 @ SV544 )
= $false )
| ( ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SV544 )
= $true )
| ( ( qmltpeq @ SV155 @ SV304 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) )
= $false )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2230]) ).
thf(2377,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV545: mworld,SV462: mworld] :
( ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( ~ ! [SY2749: mworld] :
( ~ ( mrel @ SV545 @ SY2749 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2749 ) )
| ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) ) )
= $true )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2231]) ).
thf(2378,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV546: mworld,SV462: mworld] :
( ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2752: mworld] :
( ~ ( mrel @ SV546 @ SY2752 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2752 ) )
| ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
| ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2232]) ).
thf(2379,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV547: mworld,SV463: mworld] :
( ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( ~ ! [SY2755: mworld] :
( ~ ( mrel @ SV547 @ SY2755 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2755 ) )
| ~ ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) ) )
= $true )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2233]) ).
thf(2380,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV548: mworld,SV463: mworld] :
( ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2758: mworld] :
( ~ ( mrel @ SV548 @ SY2758 )
| ( member @ SV426 @ universal_class @ SY2758 ) )
| ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
| ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2234]) ).
thf(2381,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV549: mworld,SV464: mworld] :
( ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( ~ ! [SY2761: mworld] :
( ~ ( mrel @ SV549 @ SY2761 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2761 ) )
| ~ ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) ) )
= $true )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2235]) ).
thf(2382,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV550: mworld,SV464: mworld] :
( ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2764: mworld] :
( ~ ( mrel @ SV550 @ SY2764 )
| ( member @ SV159 @ SV427 @ SY2764 ) )
| ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
| ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2236]) ).
thf(2383,plain,
! [SV428: $i,SV161: $i,SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV487: mworld] :
( ( ( ~ ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2237]) ).
thf(2384,plain,
! [SV487: mworld,SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i] :
( ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( ~ ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2237]) ).
thf(2385,plain,
! [SV80: mworld,SV238: mworld,SV366: mworld,SV310: $i,SV161: $i,SV428: $i,SV488: mworld] :
( ( ( ~ ! [SY2693: mworld] :
( ~ ( mrel @ SV488 @ SY2693 )
| ( member @ SV428 @ SV161 @ SY2693 ) ) )
= $true )
| ( ( ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2238]) ).
thf(2386,plain,
! [SV86: $i,SV245: $i,SV374: $i,SV466: $i,SV429: mworld,SV314: mworld,SV165: mworld,SV3: mworld,SV492: mworld] :
( ( ( ~ ( mrel @ SV492 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) ) )
= $false )
| ( ( ! [SY2697: mworld] :
( ~ ( mrel @ SV492 @ SY2697 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SY2697 ) ) )
= $true )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2239]) ).
thf(2387,plain,
! [SV492: mworld,SV374: $i,SV466: $i,SV429: mworld,SV314: mworld,SV165: mworld,SV3: mworld,SV245: $i,SV86: $i] :
( ( ( qmltpeq @ SV86 @ SV245 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) )
= $false )
| ( ( ! [SY2697: mworld] :
( ~ ( mrel @ SV492 @ SY2697 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SY2697 ) ) )
= $true )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2239]) ).
thf(2388,plain,
! [SV87: $i,SV166: mworld,SV4: mworld,SV246: $i,SV596: mworld,SV375: mworld] :
( ( ( ~ ( mrel @ SV375 @ SV596 )
| ( member @ SV246 @ universal_class @ SV596 ) )
= $true )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2389,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV597: mworld,SV375: mworld] :
( ( ( ~ ( mrel @ SV375 @ SV597 )
| ~ ! [SY2777: mworld] :
( ~ ( mrel @ SV597 @ SY2777 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2777 ) ) )
= $true )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2241]) ).
thf(2390,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV571: mworld,SV375: mworld] :
( ( ( ~ ( mrel @ SV375 @ SV571 ) )
= $true )
| ( ( member @ SV246 @ universal_class @ SV571 )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2242]) ).
thf(2391,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV572: mworld,SV375: mworld] :
( ( ( ~ ( mrel @ SV375 @ SV572 ) )
= $true )
| ( ( ~ ! [SY2769: mworld] :
( ~ ( mrel @ SV572 @ SY2769 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2769 ) ) )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2243]) ).
thf(2392,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV376: mworld] :
( ( ( ! [SY2299: mworld] :
( ~ ( mrel @ SV376 @ SY2299 )
| ~ ! [SY1670: mworld] :
( ~ ( mrel @ SY2299 @ SY1670 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY1670 ) ) ) )
= $false )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2244]) ).
thf(2393,plain,
! [SV87: $i,SV246: $i,SV4: mworld,SV166: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) )
| ~ ! [SY2778: mworld] :
( ~ ( mrel @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SY2778 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2778 ) ) )
= $false )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2245]) ).
thf(2394,plain,
! [SV315: mworld,SV167: mworld,SV5: mworld,SV247: $i,SV377: $i,SV88: $i,SV551: mworld,SV430: mworld] :
( ( ( mrel @ SV430 @ SV551 )
= $false )
| ( ( qmltpeq @ ( apply @ SV88 @ SV377 ) @ ( apply @ SV247 @ SV377 ) @ SV551 )
= $true )
| ( ( mrel @ SV430 @ ( sK44_SY2528 @ SV5 @ SV167 @ SV315 @ SV377 @ SV247 @ SV88 @ SV430 ) )
= $true )
| ( ( mrel @ SV315 @ SV430 )
= $false )
| ( ( mrel @ SV167 @ SV315 )
= $false )
| ( ( mrel @ SV5 @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2246]) ).
thf(2395,plain,
! [SV89: $i,SV248: $i,SV378: $i,SV467: $i,SV431: mworld,SV316: mworld,SV168: mworld,SV6: mworld,SV493: mworld] :
( ( ( ~ ( mrel @ SV493 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) ) )
= $false )
| ( ( ! [SY2699: mworld] :
( ~ ( mrel @ SV493 @ SY2699 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SY2699 ) ) )
= $true )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2248]) ).
thf(2396,plain,
! [SV493: mworld,SV378: $i,SV467: $i,SV431: mworld,SV316: mworld,SV168: mworld,SV6: mworld,SV248: $i,SV89: $i] :
( ( ( qmltpeq @ SV89 @ SV248 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) )
= $false )
| ( ( ! [SY2699: mworld] :
( ~ ( mrel @ SV493 @ SY2699 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SY2699 ) ) )
= $true )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2248]) ).
thf(2397,plain,
! [SV317: mworld,SV169: mworld,SV7: mworld,SV249: $i,SV90: $i,SV379: $i,SV552: mworld,SV432: mworld] :
( ( ( mrel @ SV432 @ SV552 )
= $false )
| ( ( qmltpeq @ ( compose @ SV379 @ SV90 ) @ ( compose @ SV379 @ SV249 ) @ SV552 )
= $true )
| ( ( mrel @ SV432 @ ( sK45_SY2534 @ SV7 @ SV169 @ SV317 @ SV379 @ SV249 @ SV90 @ SV432 ) )
= $true )
| ( ( mrel @ SV317 @ SV432 )
= $false )
| ( ( mrel @ SV169 @ SV317 )
= $false )
| ( ( mrel @ SV7 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2249]) ).
thf(2398,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV380: mworld] :
( ( ( ~ ! [SY2767: mworld] :
( ~ ( mrel @ SV380 @ SY2767 )
| ( member @ SV91 @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SY2767 ) )
| ~ ! [SY2768: mworld] :
( ~ ( mrel @ SV380 @ SY2768 )
| ( member @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SY2768 ) ) )
= $false )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2251]) ).
thf(2399,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV380: mworld] :
( ( ( ~ ! [SY2729: mworld] :
( ~ ( mrel @ SV380 @ SY2729 )
| ( member @ SV91 @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SY2729 ) ) )
= $false )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2252]) ).
thf(2400,plain,
! [SV91: $i,SV250: $i,SV8: mworld,SV170: mworld,SV380: mworld] :
( ( ( ~ ! [SY2730: mworld] :
( ~ ( mrel @ SV380 @ SY2730 )
| ( member @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SY2730 ) ) )
= $false )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2252]) ).
thf(2401,plain,
! [SV91: $i,SV508: $i,SV250: $i,SV170: mworld,SV8: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
| ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) ) )
= $false )
| ( ( ~ ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2253]) ).
thf(2402,plain,
! [SV321: mworld,SV175: mworld,SV13: mworld,SV254: $i,SV96: $i,SV383: $i,SV553: mworld,SV434: mworld] :
( ( ( mrel @ SV434 @ SV553 )
= $false )
| ( ( qmltpeq @ ( union @ SV383 @ SV96 ) @ ( union @ SV383 @ SV254 ) @ SV553 )
= $true )
| ( ( mrel @ SV434 @ ( sK46_SY2536 @ SV13 @ SV175 @ SV321 @ SV383 @ SV254 @ SV96 @ SV434 ) )
= $true )
| ( ( mrel @ SV321 @ SV434 )
= $false )
| ( ( mrel @ SV175 @ SV321 )
= $false )
| ( ( mrel @ SV13 @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2254]) ).
thf(2403,plain,
! [SV256: $i,SV15: mworld,SV177: mworld,SV98: $i,SV323: mworld] :
( ( ( mrel @ SV323 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) )
= $true )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV323 @ SY2078 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SY2078 ) ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2256]) ).
thf(2404,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV598: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ SV598 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV598 ) )
= $true )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( function @ SV256 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) )
= $false )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2257]) ).
thf(2405,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV599: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ SV599 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV599 ) )
= $true )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( mrel @ SV323 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2258]) ).
thf(2406,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV573: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ SV573 ) )
= $true )
| ( ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV573 )
= $true )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( function @ SV256 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) )
= $false )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2259]) ).
thf(2407,plain,
! [SV384: $i,SV103: $i,SV259: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV471: mworld] :
( ( ( mrel @ SV471 @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $true )
| ( ( ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) )
| ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2260]) ).
thf(2408,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV471: mworld] :
( ( ( ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) ) )
= $true )
| ( ( ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $false )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2261]) ).
thf(2409,plain,
! [SV384: $i,SV103: $i,SV259: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) ) )
= $false )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2262]) ).
thf(2410,plain,
! [SV472: mworld,SV259: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV103: $i,SV384: $i] :
( ( ( member @ SV384 @ SV103 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) )
= $false )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2262]) ).
thf(2411,plain,
! [SV384: $i,SV259: $i,SV103: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) ) )
= $false )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2263]) ).
thf(2412,plain,
! [SV472: mworld,SV103: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV384: $i] :
( ( ( member @ SV384 @ SV259 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) )
= $false )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2263]) ).
thf(2413,plain,
! [SV104: $i,SV260: $i,SV385: $i,SV473: $i,SV435: mworld,SV327: mworld,SV183: mworld,SV21: mworld,SV497: mworld] :
( ( ( ~ ( mrel @ SV497 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) ) )
= $false )
| ( ( ! [SY2701: mworld] :
( ~ ( mrel @ SV497 @ SY2701 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SY2701 ) ) )
= $true )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2264]) ).
thf(2414,plain,
! [SV497: mworld,SV385: $i,SV473: $i,SV435: mworld,SV327: mworld,SV183: mworld,SV21: mworld,SV260: $i,SV104: $i] :
( ( ( qmltpeq @ SV104 @ SV260 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) )
= $false )
| ( ( ! [SY2701: mworld] :
( ~ ( mrel @ SV497 @ SY2701 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SY2701 ) ) )
= $true )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2264]) ).
thf(2415,plain,
! [SV261: $i,SV185: mworld,SV23: mworld,SV106: $i,SV600: mworld,SV386: mworld] :
( ( ( ~ ( mrel @ SV386 @ SV600 )
| ( member @ SV106 @ universal_class @ SV600 ) )
= $true )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2265]) ).
thf(2416,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV601: mworld,SV386: mworld] :
( ( ( ~ ( mrel @ SV386 @ SV601 )
| ( subclass @ SV106 @ SV261 @ SV601 ) )
= $true )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2266]) ).
thf(2417,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV574: mworld,SV386: mworld] :
( ( ( ~ ( mrel @ SV386 @ SV574 ) )
= $true )
| ( ( member @ SV106 @ universal_class @ SV574 )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2267]) ).
thf(2418,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV575: mworld,SV386: mworld] :
( ( ( ~ ( mrel @ SV386 @ SV575 ) )
= $true )
| ( ( subclass @ SV106 @ SV261 @ SV575 )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2268]) ).
thf(2419,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV387: mworld] :
( ( ( ! [SY2342: mworld] :
( ~ ( mrel @ SV387 @ SY2342 )
| ( subclass @ SV106 @ SV261 @ SY2342 ) ) )
= $false )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2269]) ).
thf(2420,plain,
! [SV106: $i,SV261: $i,SV23: mworld,SV185: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
| ( subclass @ SV106 @ SV261 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) ) )
= $false )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2270]) ).
thf(2421,plain,
! [SV328: mworld,SV186: mworld,SV24: mworld,SV262: $i,SV388: $i,SV107: $i,SV554: mworld,SV436: mworld] :
( ( ( mrel @ SV436 @ SV554 )
= $false )
| ( ( qmltpeq @ ( ordered_pair @ SV107 @ SV388 ) @ ( ordered_pair @ SV262 @ SV388 ) @ SV554 )
= $true )
| ( ( mrel @ SV436 @ ( sK47_SY2542 @ SV24 @ SV186 @ SV328 @ SV388 @ SV262 @ SV107 @ SV436 ) )
= $true )
| ( ( mrel @ SV328 @ SV436 )
= $false )
| ( ( mrel @ SV186 @ SV328 )
= $false )
| ( ( mrel @ SV24 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2422,plain,
! [SV108: $i,SV263: $i,SV389: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV437: mworld] :
( ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( ~ ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2273]) ).
thf(2423,plain,
! [SV329: mworld,SV187: mworld,SV25: mworld,SV263: $i,SV389: $i,SV108: $i,SV437: mworld] :
( ( ( ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
= $false )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2274]) ).
thf(2424,plain,
! [SV109: $i,SV188: mworld,SV26: mworld,SV264: $i,SV602: mworld,SV390: mworld] :
( ( ( ~ ( mrel @ SV390 @ SV602 )
| ( member @ SV264 @ universal_class @ SV602 ) )
= $true )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2425,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV603: mworld,SV390: mworld] :
( ( ( ~ ( mrel @ SV390 @ SV603 )
| ~ ! [SY2779: mworld] :
( ~ ( mrel @ SV603 @ SY2779 )
| ( member @ SV264 @ SV109 @ SY2779 ) ) )
= $true )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2276]) ).
thf(2426,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV576: mworld,SV390: mworld] :
( ( ( ~ ( mrel @ SV390 @ SV576 ) )
= $true )
| ( ( member @ SV264 @ universal_class @ SV576 )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2277]) ).
thf(2427,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV577: mworld,SV390: mworld] :
( ( ( ~ ( mrel @ SV390 @ SV577 ) )
= $true )
| ( ( ~ ! [SY2770: mworld] :
( ~ ( mrel @ SV577 @ SY2770 )
| ( member @ SV264 @ SV109 @ SY2770 ) ) )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2278]) ).
thf(2428,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV391: mworld] :
( ( ( ! [SY2356: mworld] :
( ~ ( mrel @ SV391 @ SY2356 )
| ~ ! [SY1766: mworld] :
( ~ ( mrel @ SY2356 @ SY1766 )
| ( member @ SV264 @ SV109 @ SY1766 ) ) ) )
= $false )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2279]) ).
thf(2429,plain,
! [SV264: $i,SV109: $i,SV26: mworld,SV188: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) )
| ~ ! [SY2780: mworld] :
( ~ ( mrel @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SY2780 )
| ( member @ SV264 @ SV109 @ SY2780 ) ) )
= $false )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2280]) ).
thf(2430,plain,
! [SV330: mworld,SV189: mworld,SV27: mworld,SV265: $i,SV392: $i,SV110: $i,SV555: mworld,SV438: mworld] :
( ( ( mrel @ SV438 @ SV555 )
= $false )
| ( ( qmltpeq @ ( intersection @ SV110 @ SV392 ) @ ( intersection @ SV265 @ SV392 ) @ SV555 )
= $true )
| ( ( mrel @ SV438 @ ( sK48_SY2547 @ SV27 @ SV189 @ SV330 @ SV392 @ SV265 @ SV110 @ SV438 ) )
= $true )
| ( ( mrel @ SV330 @ SV438 )
= $false )
| ( ( mrel @ SV189 @ SV330 )
= $false )
| ( ( mrel @ SV27 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2281]) ).
thf(2431,plain,
! [SV331: mworld,SV190: mworld,SV28: mworld,SV266: $i,SV393: $i,SV111: $i,SV556: mworld,SV439: mworld] :
( ( ( mrel @ SV439 @ SV556 )
= $false )
| ( ( qmltpeq @ ( compose @ SV111 @ SV393 ) @ ( compose @ SV266 @ SV393 ) @ SV556 )
= $true )
| ( ( mrel @ SV439 @ ( sK49_SY2549 @ SV28 @ SV190 @ SV331 @ SV393 @ SV266 @ SV111 @ SV439 ) )
= $true )
| ( ( mrel @ SV331 @ SV439 )
= $false )
| ( ( mrel @ SV190 @ SV331 )
= $false )
| ( ( mrel @ SV28 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2283]) ).
thf(2432,plain,
! [SV114: $i,SV269: $i,SV394: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV440: mworld] :
( ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( ~ ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2285]) ).
thf(2433,plain,
! [SV334: mworld,SV193: mworld,SV32: mworld,SV114: $i,SV394: $i,SV269: $i,SV440: mworld] :
( ( ( ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
= $false )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2434,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV270: $i,SV115: $i,SV604: $i,SV527: mworld] :
( ( ( ! [SY2781: mworld] :
( ~ ( mrel @ SV527 @ SY2781 )
| ~ ! [SY2782: mworld] :
( ~ ( mrel @ SY2781 @ SY2782 )
| ( member @ SV604 @ SV115 @ SY2782 ) )
| ! [SY2783: mworld] :
( ~ ( mrel @ SY2781 @ SY2783 )
| ( member @ SV604 @ SV270 @ SY2783 ) ) ) )
= $true )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2287]) ).
thf(2435,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV270: $i,SV115: $i,SV578: $i,SV605: mworld,SV513: mworld] :
( ( ( ~ ( mrel @ SV513 @ SV605 )
| ~ ! [SY2784: mworld] :
( ~ ( mrel @ SV605 @ SY2784 )
| ( member @ SV578 @ SV115 @ SY2784 ) )
| ! [SY2785: mworld] :
( ~ ( mrel @ SV605 @ SY2785 )
| ( member @ SV578 @ SV270 @ SY2785 ) ) )
= $true )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2288]) ).
thf(2436,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV606: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ SV606 )
| ( subclass @ SV115 @ SV270 @ SV606 ) )
= $true )
| ( ( mrel @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2290]) ).
thf(2437,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( ! [SY2735: mworld] :
( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SY2735 )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SY2735 ) ) )
= $true )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2291]) ).
thf(2438,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV270 @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2292]) ).
thf(2439,plain,
! [SV116: $i,SV34: mworld,SV195: mworld,SV271: $i,SV335: mworld] :
( ( ( mrel @ SV335 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) )
= $true )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( ! [SY2122: mworld] :
( ~ ( mrel @ SV335 @ SY2122 )
| ( function @ SV271 @ SY2122 ) ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2293]) ).
thf(2440,plain,
! [SV116: $i,SV195: mworld,SV34: mworld,SV271: $i,SV607: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ SV607 )
| ( function @ SV271 @ SV607 ) )
= $true )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( function @ SV116 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) )
= $false )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2294]) ).
thf(2441,plain,
! [SV195: mworld,SV34: mworld,SV116: $i,SV271: $i,SV608: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ SV608 )
| ( function @ SV271 @ SV608 ) )
= $true )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( mrel @ SV335 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2295]) ).
thf(2442,plain,
! [SV195: mworld,SV34: mworld,SV116: $i,SV271: $i,SV579: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ SV579 ) )
= $true )
| ( ( function @ SV271 @ SV579 )
= $true )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( function @ SV116 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2296]) ).
thf(2443,plain,
! [SV337: mworld,SV197: mworld,SV36: mworld,SV273: $i,SV118: $i,SV397: $i,SV557: mworld,SV441: mworld] :
( ( ( mrel @ SV441 @ SV557 )
= $false )
| ( ( qmltpeq @ ( apply @ SV397 @ SV118 ) @ ( apply @ SV397 @ SV273 ) @ SV557 )
= $true )
| ( ( mrel @ SV441 @ ( sK50_SY2554 @ SV36 @ SV197 @ SV337 @ SV397 @ SV273 @ SV118 @ SV441 ) )
= $true )
| ( ( mrel @ SV337 @ SV441 )
= $false )
| ( ( mrel @ SV197 @ SV337 )
= $false )
| ( ( mrel @ SV36 @ SV197 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2297]) ).
thf(2444,plain,
! [SV338: mworld,SV198: mworld,SV37: mworld,SV274: $i,SV119: $i,SV398: $i,SV558: mworld,SV442: mworld] :
( ( ( mrel @ SV442 @ SV558 )
= $false )
| ( ( qmltpeq @ ( cross_product @ SV398 @ SV119 ) @ ( cross_product @ SV398 @ SV274 ) @ SV558 )
= $true )
| ( ( mrel @ SV442 @ ( sK51_SY2556 @ SV37 @ SV198 @ SV338 @ SV398 @ SV274 @ SV119 @ SV442 ) )
= $true )
| ( ( mrel @ SV338 @ SV442 )
= $false )
| ( ( mrel @ SV198 @ SV338 )
= $false )
| ( ( mrel @ SV37 @ SV198 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2299]) ).
thf(2445,plain,
! [SV121: $i,SV275: $i,SV400: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV444: mworld] :
( ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( ~ ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2301]) ).
thf(2446,plain,
! [SV339: mworld,SV200: mworld,SV39: mworld,SV275: $i,SV121: $i,SV400: $i,SV444: mworld] :
( ( ( ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
= $false )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2447,plain,
! [SV340: mworld,SV201: mworld,SV40: mworld,SV276: $i,SV122: $i,SV401: $i,SV559: mworld,SV445: mworld] :
( ( ( mrel @ SV445 @ SV559 )
= $false )
| ( ( qmltpeq @ ( ordered_pair @ SV401 @ SV122 ) @ ( ordered_pair @ SV401 @ SV276 ) @ SV559 )
= $true )
| ( ( mrel @ SV445 @ ( sK52_SY2561 @ SV40 @ SV201 @ SV340 @ SV401 @ SV276 @ SV122 @ SV445 ) )
= $true )
| ( ( mrel @ SV340 @ SV445 )
= $false )
| ( ( mrel @ SV201 @ SV340 )
= $false )
| ( ( mrel @ SV40 @ SV201 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2303]) ).
thf(2448,plain,
! [SV341: mworld,SV202: mworld,SV41: mworld,SV277: $i,SV123: $i,SV402: $i,SV560: mworld,SV446: mworld] :
( ( ( mrel @ SV446 @ SV560 )
= $false )
| ( ( qmltpeq @ ( image @ SV402 @ SV123 ) @ ( image @ SV402 @ SV277 ) @ SV560 )
= $true )
| ( ( mrel @ SV446 @ ( sK53_SY2563 @ SV41 @ SV202 @ SV341 @ SV402 @ SV277 @ SV123 @ SV446 ) )
= $true )
| ( ( mrel @ SV341 @ SV446 )
= $false )
| ( ( mrel @ SV202 @ SV341 )
= $false )
| ( ( mrel @ SV41 @ SV202 )
= $false )
| ( ( mrel @ mactual @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2305]) ).
thf(2449,plain,
! [SV124: $i,SV278: $i,SV403: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV447: mworld] :
( ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( ~ ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2307]) ).
thf(2450,plain,
! [SV342: mworld,SV203: mworld,SV42: mworld,SV278: $i,SV403: $i,SV124: $i,SV447: mworld] :
( ( ( ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
= $false )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2308]) ).
thf(2451,plain,
! [SV343: mworld,SV205: mworld,SV44: mworld,SV279: $i,SV126: $i,SV405: $i,SV561: mworld,SV449: mworld] :
( ( ( mrel @ SV449 @ SV561 )
= $false )
| ( ( qmltpeq @ ( intersection @ SV405 @ SV126 ) @ ( intersection @ SV405 @ SV279 ) @ SV561 )
= $true )
| ( ( mrel @ SV449 @ ( sK54_SY2568 @ SV44 @ SV205 @ SV343 @ SV405 @ SV279 @ SV126 @ SV449 ) )
= $true )
| ( ( mrel @ SV343 @ SV449 )
= $false )
| ( ( mrel @ SV205 @ SV343 )
= $false )
| ( ( mrel @ SV44 @ SV205 )
= $false )
| ( ( mrel @ mactual @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2309]) ).
thf(2452,plain,
! [SV127: $i,SV45: mworld,SV206: mworld,SV280: $i,SV344: mworld] :
( ( ( mrel @ SV344 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) )
= $true )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( ! [SY2157: mworld] :
( ~ ( mrel @ SV344 @ SY2157 )
| ( inductive @ SV280 @ SY2157 ) ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2311]) ).
thf(2453,plain,
! [SV127: $i,SV206: mworld,SV45: mworld,SV280: $i,SV609: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ SV609 )
| ( inductive @ SV280 @ SV609 ) )
= $true )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( inductive @ SV127 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) )
= $false )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2312]) ).
thf(2454,plain,
! [SV206: mworld,SV45: mworld,SV127: $i,SV280: $i,SV610: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ SV610 )
| ( inductive @ SV280 @ SV610 ) )
= $true )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( mrel @ SV344 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2313]) ).
thf(2455,plain,
! [SV206: mworld,SV45: mworld,SV127: $i,SV280: $i,SV580: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ SV580 ) )
= $true )
| ( ( inductive @ SV280 @ SV580 )
= $true )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( inductive @ SV127 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2314]) ).
thf(2456,plain,
! [SV128: $i,SV281: $i,SV406: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV450: mworld] :
( ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( ~ ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2315]) ).
thf(2457,plain,
! [SV345: mworld,SV207: mworld,SV46: mworld,SV281: $i,SV406: $i,SV128: $i,SV450: mworld] :
( ( ( ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
= $false )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2316]) ).
thf(2458,plain,
! [SV243: mworld,SV534: mworld,SV370: $i,SV611: mworld,SV373: mworld] :
( ( ( ~ ( mrel @ SV373 @ SV611 )
| ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SV611 ) )
= $true )
| ( ( qmltpeq @ SV370 @ null_class @ SV534 )
= $true )
| ( ( mrel @ SV373 @ SV534 )
= $false )
| ( ( mrel @ SV373 @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2317]) ).
thf(2459,plain,
! [SV243: mworld,SV514: mworld,SV370: $i,SV581: mworld,SV373: mworld] :
( ( ( ~ ( mrel @ SV373 @ SV581 ) )
= $true )
| ( ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SV581 )
= $true )
| ( ( qmltpeq @ SV370 @ null_class @ SV514 )
= $true )
| ( ( mrel @ SV373 @ SV514 )
= $false )
| ( ( member @ SV370 @ universal_class @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $false )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2318]) ).
thf(2460,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV612: mworld,SV407: mworld] :
( ( ( ~ ( mrel @ SV407 @ SV612 )
| ( subclass @ SV130 @ SV282 @ SV612 ) )
= $true )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2319]) ).
thf(2461,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV613: mworld,SV407: mworld] :
( ( ( ~ ( mrel @ SV407 @ SV613 )
| ( subclass @ SV282 @ SV130 @ SV613 ) )
= $true )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2320]) ).
thf(2462,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV582: mworld,SV407: mworld] :
( ( ( ~ ( mrel @ SV407 @ SV582 ) )
= $true )
| ( ( subclass @ SV130 @ SV282 @ SV582 )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2321]) ).
thf(2463,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV583: mworld,SV407: mworld] :
( ( ( ~ ( mrel @ SV407 @ SV583 ) )
= $true )
| ( ( subclass @ SV282 @ SV130 @ SV583 )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2322]) ).
thf(2464,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV408: mworld] :
( ( ( ! [SY2412: mworld] :
( ~ ( mrel @ SV408 @ SY2412 )
| ( subclass @ SV282 @ SV130 @ SY2412 ) ) )
= $false )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2323]) ).
thf(2465,plain,
! [SV282: $i,SV130: $i,SV48: mworld,SV209: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
| ( subclass @ SV282 @ SV130 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) ) )
= $false )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2324]) ).
thf(2466,plain,
! [SV372: mworld,SV451: $i,SV584: mworld,SV465: mworld] :
( ( ( ~ ( mrel @ SV465 @ SV584 ) )
= $true )
| ( ( subclass @ sK3_SX0 @ SV451 @ SV584 )
= $true )
| ( ( mrel @ SV465 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) )
= $true )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2325]) ).
thf(2467,plain,
! [SV372: mworld,SV451: $i,SV562: mworld,SV465: mworld] :
( ( ( mrel @ SV465 @ SV562 )
= $false )
| ( ( subclass @ sK3_SX0 @ SV451 @ SV562 )
= $true )
| ( ( inductive @ SV451 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) )
= $false )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2326]) ).
thf(2468,plain,
! [SV136: $i,SV286: $i,SV409: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV452: mworld] :
( ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( ~ ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2327]) ).
thf(2469,plain,
! [SV349: mworld,SV215: mworld,SV54: mworld,SV286: $i,SV136: $i,SV409: $i,SV452: mworld] :
( ( ( ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
= $false )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2328]) ).
thf(2470,plain,
! [SV55: mworld,SV137: $i,SV614: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ SV614 )
| ( function @ SV137 @ SV614 ) )
= $true )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( mrel @ SV288 @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2329]) ).
thf(2471,plain,
! [SV55: mworld,SV137: $i,SV585: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ SV585 ) )
= $true )
| ( ( function @ SV137 @ SV585 )
= $true )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2330]) ).
thf(2472,plain,
! [SV55: mworld,SV137: $i,SV586: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ SV586 ) )
= $true )
| ( ( function @ SV137 @ SV586 )
= $true )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( mrel @ SV288 @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2331]) ).
thf(2473,plain,
! [SV55: mworld,SV137: $i,SV563: mworld,SV288: mworld] :
( ( ( mrel @ SV288 @ SV563 )
= $false )
| ( ( function @ SV137 @ SV563 )
= $true )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2332]) ).
thf(2474,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV289: $i,SV138: $i,SV615: $i,SV535: mworld] :
( ( ( ! [SY2786: mworld] :
( ~ ( mrel @ SV535 @ SY2786 )
| ~ ~ ( ~ ! [SY2787: mworld] :
( ~ ( mrel @ SY2786 @ SY2787 )
| ( member @ SV615 @ SV138 @ SY2787 ) )
| ~ ! [SY2788: mworld] :
( ~ ( mrel @ SY2786 @ SY2788 )
| ( member @ SV615 @ SV289 @ SY2788 ) ) ) ) )
= $true )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2333]) ).
thf(2475,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV289: $i,SV138: $i,SV587: $i,SV616: mworld,SV517: mworld] :
( ( ( ~ ( mrel @ SV517 @ SV616 )
| ~ ~ ( ~ ! [SY2789: mworld] :
( ~ ( mrel @ SV616 @ SY2789 )
| ( member @ SV587 @ SV138 @ SY2789 ) )
| ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) ) )
= $true )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2334]) ).
thf(2476,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV617: mworld,SV411: mworld] :
( ( ( ~ ( mrel @ SV411 @ SV617 )
| ( disjoint @ SV138 @ SV289 @ SV617 ) )
= $true )
| ( ( mrel @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2336]) ).
thf(2477,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ~ ! [SY2741: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2741 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SY2741 ) )
| ~ ! [SY2742: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2742 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SY2742 ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2337]) ).
thf(2478,plain,
! [SV290: $i,SV217: mworld,SV57: mworld,SV139: $i,SV618: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV618 )
| ( member @ SV139 @ universal_class @ SV618 ) )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2338]) ).
thf(2479,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV412: mworld] :
( ( ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) )
| ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) )
= $false )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2339]) ).
thf(2480,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV588: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV588 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ SV588 )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2340]) ).
thf(2481,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV412: mworld] :
( ( ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2341]) ).
thf(2482,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV412: mworld] :
( ( ( ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2341]) ).
thf(2483,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV413: mworld] :
( ( ( ~ ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) ) )
= $false )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2342]) ).
thf(2484,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV413: mworld] :
( ( ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2343]) ).
thf(2485,plain,
! [SV140: $i,SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV479: mworld] :
( ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( ~ ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2344]) ).
thf(2486,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2345]) ).
thf(2487,plain,
! [SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV291: $i,SV140: $i,SV480: mworld] :
( ( ( ! [SY2654: mworld] :
( ~ ( mrel @ SV480 @ SY2654 )
| ( member @ SV140 @ universal_class @ SY2654 ) ) )
= $false )
| ( ( ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2488,plain,
! [SV141: $i,SV292: $i,SV351: mworld,SV219: mworld,SV60: mworld,SV415: $i,SV564: mworld,SV453: mworld] :
( ( ( mrel @ SV453 @ SV564 )
= $false )
| ( ( qmltpeq @ SV415 @ ( ordered_pair @ ( first @ SV415 ) @ ( second @ SV415 ) ) @ SV564 )
= $true )
| ( ( mrel @ SV453 @ ( sK55_SY2579 @ SV60 @ SV219 @ SV351 @ SV292 @ SV141 @ SV415 @ SV453 ) )
= $true )
| ( ( mrel @ SV351 @ SV453 )
= $false )
| ( ( mrel @ SV219 @ SV351 )
= $false )
| ( ( mrel @ SV60 @ SV219 )
= $false )
| ( ( mrel @ mactual @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2347]) ).
thf(2489,plain,
! [SV61: mworld,SV142: $i,SV619: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ SV619 )
| ( inductive @ SV142 @ SV619 ) )
= $true )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( mrel @ SV294 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2349]) ).
thf(2490,plain,
! [SV61: mworld,SV142: $i,SV589: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ SV589 ) )
= $true )
| ( ( inductive @ SV142 @ SV589 )
= $true )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2350]) ).
thf(2491,plain,
! [SV61: mworld,SV142: $i,SV590: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ SV590 ) )
= $true )
| ( ( inductive @ SV142 @ SV590 )
= $true )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( mrel @ SV294 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2351]) ).
thf(2492,plain,
! [SV61: mworld,SV142: $i,SV565: mworld,SV294: mworld] :
( ( ( mrel @ SV294 @ SV565 )
= $false )
| ( ( inductive @ SV142 @ SV565 )
= $true )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2352]) ).
thf(2493,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV538: mworld] :
( ( ( ~ ! [SY2743: mworld] :
( ~ ( mrel @ SV538 @ SY2743 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2743 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2353]) ).
thf(2494,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV539: mworld] :
( ( ( ~ ~ ( ~ ! [SY2746: mworld] :
( ~ ( mrel @ SV539 @ SY2746 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2746 ) )
| ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2354]) ).
thf(2495,plain,
! [SV145: $i,SV64: mworld,SV591: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV591 ) )
= $true )
| ( ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SV591 )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2355]) ).
thf(2496,plain,
! [SV145: $i,SV64: mworld,SV592: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV592 ) )
= $true )
| ( ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SV592 )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2356]) ).
thf(2497,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV593: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV593 ) )
= $true )
| ( ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ universal_class @ SV593 )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2357]) ).
thf(2498,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ~ ! [SY2711: mworld] :
( ~ ( mrel @ SV222 @ SY2711 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2711 ) ) )
= $false )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2358]) ).
thf(2499,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ~ ! [SY2712: mworld] :
( ~ ( mrel @ SV222 @ SY2712 )
| ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2712 ) ) )
= $false )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2358]) ).
thf(2500,plain,
! [SV146: $i,SV223: mworld,SV65: mworld,SV297: $i,SV620: mworld,SV417: mworld] :
( ( ( ~ ( mrel @ SV417 @ SV620 )
| ( member @ SV297 @ universal_class @ SV620 ) )
= $true )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2359]) ).
thf(2501,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV621: mworld,SV417: mworld] :
( ( ( ~ ( mrel @ SV417 @ SV621 )
| ( member @ SV146 @ SV297 @ SV621 ) )
= $true )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2360]) ).
thf(2502,plain,
! [SV223: mworld,SV65: mworld,SV146: $i,SV297: $i,SV594: mworld,SV417: mworld] :
( ( ( ~ ( mrel @ SV417 @ SV594 ) )
= $true )
| ( ( member @ SV297 @ universal_class @ SV594 )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2361]) ).
thf(2503,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV595: mworld,SV417: mworld] :
( ( ( ~ ( mrel @ SV417 @ SV595 ) )
= $true )
| ( ( member @ SV146 @ SV297 @ SV595 )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2362]) ).
thf(2504,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV418: mworld] :
( ( ( ! [SY2465: mworld] :
( ~ ( mrel @ SV418 @ SY2465 )
| ( member @ SV146 @ SV297 @ SY2465 ) ) )
= $false )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2363]) ).
thf(2505,plain,
! [SV146: $i,SV297: $i,SV65: mworld,SV223: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
| ( member @ SV146 @ SV297 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) ) )
= $false )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2364]) ).
thf(2506,plain,
! [SV354: mworld,SV224: mworld,SV66: mworld,SV298: $i,SV147: $i,SV419: $i,SV566: mworld,SV456: mworld] :
( ( ( mrel @ SV456 @ SV566 )
= $false )
| ( ( qmltpeq @ ( unordered_pair @ SV419 @ SV147 ) @ ( unordered_pair @ SV419 @ SV298 ) @ SV566 )
= $true )
| ( ( mrel @ SV456 @ ( sK56_SY2590 @ SV66 @ SV224 @ SV354 @ SV419 @ SV298 @ SV147 @ SV456 ) )
= $true )
| ( ( mrel @ SV354 @ SV456 )
= $false )
| ( ( mrel @ SV224 @ SV354 )
= $false )
| ( ( mrel @ SV66 @ SV224 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2365]) ).
thf(2507,plain,
! [SV355: mworld,SV226: mworld,SV68: mworld,SV299: $i,SV420: $i,SV149: $i,SV567: mworld,SV457: mworld] :
( ( ( mrel @ SV457 @ SV567 )
= $false )
| ( ( qmltpeq @ ( image @ SV149 @ SV420 ) @ ( image @ SV299 @ SV420 ) @ SV567 )
= $true )
| ( ( mrel @ SV457 @ ( sK57_SY2592 @ SV68 @ SV226 @ SV355 @ SV420 @ SV299 @ SV149 @ SV457 ) )
= $true )
| ( ( mrel @ SV355 @ SV457 )
= $false )
| ( ( mrel @ SV226 @ SV355 )
= $false )
| ( ( mrel @ SV68 @ SV226 )
= $false )
| ( ( mrel @ mactual @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2367]) ).
thf(2508,plain,
! [SV356: mworld,SV227: mworld,SV69: mworld,SV300: $i,SV421: $i,SV150: $i,SV568: mworld,SV458: mworld] :
( ( ( mrel @ SV458 @ SV568 )
= $false )
| ( ( qmltpeq @ ( cross_product @ SV150 @ SV421 ) @ ( cross_product @ SV300 @ SV421 ) @ SV568 )
= $true )
| ( ( mrel @ SV458 @ ( sK58_SY2594 @ SV69 @ SV227 @ SV356 @ SV421 @ SV300 @ SV150 @ SV458 ) )
= $true )
| ( ( mrel @ SV356 @ SV458 )
= $false )
| ( ( mrel @ SV227 @ SV356 )
= $false )
| ( ( mrel @ SV69 @ SV227 )
= $false )
| ( ( mrel @ mactual @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2369]) ).
thf(2509,plain,
! [SV357: mworld,SV228: mworld,SV70: mworld,SV301: $i,SV422: $i,SV151: $i,SV569: mworld,SV459: mworld] :
( ( ( mrel @ SV459 @ SV569 )
= $false )
| ( ( qmltpeq @ ( union @ SV151 @ SV422 ) @ ( union @ SV301 @ SV422 ) @ SV569 )
= $true )
| ( ( mrel @ SV459 @ ( sK59_SY2596 @ SV70 @ SV228 @ SV357 @ SV422 @ SV301 @ SV151 @ SV459 ) )
= $true )
| ( ( mrel @ SV357 @ SV459 )
= $false )
| ( ( mrel @ SV228 @ SV357 )
= $false )
| ( ( mrel @ SV70 @ SV228 )
= $false )
| ( ( mrel @ mactual @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2371]) ).
thf(2510,plain,
! [SV152: $i,SV302: $i,SV423: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV460: mworld] :
( ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( ~ ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2373]) ).
thf(2511,plain,
! [SV358: mworld,SV229: mworld,SV71: mworld,SV302: $i,SV152: $i,SV423: $i,SV460: mworld] :
( ( ( ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
= $false )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2374]) ).
thf(2512,plain,
! [SV360: mworld,SV232: mworld,SV74: mworld,SV304: $i,SV424: $i,SV155: $i,SV570: mworld,SV461: mworld] :
( ( ( mrel @ SV461 @ SV570 )
= $false )
| ( ( qmltpeq @ ( unordered_pair @ SV155 @ SV424 ) @ ( unordered_pair @ SV304 @ SV424 ) @ SV570 )
= $true )
| ( ( mrel @ SV461 @ ( sK60_SY2601 @ SV74 @ SV232 @ SV360 @ SV424 @ SV304 @ SV155 @ SV461 ) )
= $true )
| ( ( mrel @ SV360 @ SV461 )
= $false )
| ( ( mrel @ SV232 @ SV360 )
= $false )
| ( ( mrel @ SV74 @ SV232 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2375]) ).
thf(2513,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV545: mworld] :
( ( ( ~ ! [SY2749: mworld] :
( ~ ( mrel @ SV545 @ SY2749 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2749 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2377]) ).
thf(2514,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV546: mworld] :
( ( ( ~ ~ ( ~ ! [SY2752: mworld] :
( ~ ( mrel @ SV546 @ SY2752 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2752 ) )
| ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2378]) ).
thf(2515,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV547: mworld] :
( ( ( ~ ! [SY2755: mworld] :
( ~ ( mrel @ SV547 @ SY2755 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2755 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2379]) ).
thf(2516,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV548: mworld] :
( ( ( ~ ~ ( ~ ! [SY2758: mworld] :
( ~ ( mrel @ SV548 @ SY2758 )
| ( member @ SV426 @ universal_class @ SY2758 ) )
| ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2380]) ).
thf(2517,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV549: mworld] :
( ( ( ~ ! [SY2761: mworld] :
( ~ ( mrel @ SV549 @ SY2761 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2761 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2381]) ).
thf(2518,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV550: mworld] :
( ( ( ~ ~ ( ~ ! [SY2764: mworld] :
( ~ ( mrel @ SV550 @ SY2764 )
| ( member @ SV159 @ SV427 @ SY2764 ) )
| ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2382]) ).
thf(2519,plain,
! [SV428: $i,SV161: $i,SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV487: mworld] :
( ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( ~ ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2383]) ).
thf(2520,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV487: mworld] :
( ( ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) )
= $false )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2384]) ).
thf(2521,plain,
! [SV80: mworld,SV238: mworld,SV366: mworld,SV310: $i,SV161: $i,SV428: $i,SV488: mworld] :
( ( ( ! [SY2693: mworld] :
( ~ ( mrel @ SV488 @ SY2693 )
| ( member @ SV428 @ SV161 @ SY2693 ) ) )
= $false )
| ( ( ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2385]) ).
thf(2522,plain,
! [SV86: $i,SV245: $i,SV374: $i,SV466: $i,SV429: mworld,SV314: mworld,SV165: mworld,SV3: mworld,SV492: mworld] :
( ( ( mrel @ SV492 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) )
= $true )
| ( ( ! [SY2697: mworld] :
( ~ ( mrel @ SV492 @ SY2697 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SY2697 ) ) )
= $true )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2386]) ).
thf(2523,plain,
! [SV429: mworld,SV314: mworld,SV165: mworld,SV3: mworld,SV245: $i,SV466: $i,SV86: $i,SV374: $i,SV622: mworld,SV492: mworld] :
( ( ( ~ ( mrel @ SV492 @ SV622 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SV622 ) )
= $true )
| ( ( qmltpeq @ SV86 @ SV245 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) )
= $false )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2387]) ).
thf(2524,plain,
! [SV87: $i,SV166: mworld,SV4: mworld,SV246: $i,SV596: mworld,SV375: mworld] :
( ( ( ~ ( mrel @ SV375 @ SV596 ) )
= $true )
| ( ( member @ SV246 @ universal_class @ SV596 )
= $true )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2388]) ).
thf(2525,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV597: mworld,SV375: mworld] :
( ( ( ~ ( mrel @ SV375 @ SV597 ) )
= $true )
| ( ( ~ ! [SY2777: mworld] :
( ~ ( mrel @ SV597 @ SY2777 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2777 ) ) )
= $true )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2389]) ).
thf(2526,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV571: mworld,SV375: mworld] :
( ( ( mrel @ SV375 @ SV571 )
= $false )
| ( ( member @ SV246 @ universal_class @ SV571 )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2390]) ).
thf(2527,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV572: mworld,SV375: mworld] :
( ( ( mrel @ SV375 @ SV572 )
= $false )
| ( ( ~ ! [SY2769: mworld] :
( ~ ( mrel @ SV572 @ SY2769 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2769 ) ) )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2391]) ).
thf(2528,plain,
! [SV87: $i,SV246: $i,SV4: mworld,SV166: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) )
| ~ ! [SY2791: mworld] :
( ~ ( mrel @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SY2791 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2791 ) ) )
= $false )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2392]) ).
thf(2529,plain,
! [SV87: $i,SV246: $i,SV4: mworld,SV166: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) ) )
= $false )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2393]) ).
thf(2530,plain,
! [SV376: mworld,SV87: $i,SV246: $i,SV4: mworld,SV166: mworld] :
( ( ( ~ ! [SY2778: mworld] :
( ~ ( mrel @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SY2778 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2778 ) ) )
= $false )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2393]) ).
thf(2531,plain,
! [SV89: $i,SV248: $i,SV378: $i,SV467: $i,SV431: mworld,SV316: mworld,SV168: mworld,SV6: mworld,SV493: mworld] :
( ( ( mrel @ SV493 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) )
= $true )
| ( ( ! [SY2699: mworld] :
( ~ ( mrel @ SV493 @ SY2699 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SY2699 ) ) )
= $true )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2395]) ).
thf(2532,plain,
! [SV431: mworld,SV316: mworld,SV168: mworld,SV6: mworld,SV248: $i,SV467: $i,SV378: $i,SV89: $i,SV623: mworld,SV493: mworld] :
( ( ( ~ ( mrel @ SV493 @ SV623 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SV623 ) )
= $true )
| ( ( qmltpeq @ SV89 @ SV248 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) )
= $false )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2396]) ).
thf(2533,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV380: mworld] :
( ( ( ~ ! [SY2767: mworld] :
( ~ ( mrel @ SV380 @ SY2767 )
| ( member @ SV91 @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SY2767 ) ) )
= $false )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2398]) ).
thf(2534,plain,
! [SV91: $i,SV250: $i,SV8: mworld,SV170: mworld,SV380: mworld] :
( ( ( ~ ! [SY2768: mworld] :
( ~ ( mrel @ SV380 @ SY2768 )
| ( member @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SY2768 ) ) )
= $false )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2398]) ).
thf(2535,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV380: mworld] :
( ( ( ! [SY2729: mworld] :
( ~ ( mrel @ SV380 @ SY2729 )
| ( member @ SV91 @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SY2729 ) ) )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2399]) ).
thf(2536,plain,
! [SV91: $i,SV250: $i,SV8: mworld,SV170: mworld,SV380: mworld] :
( ( ( ! [SY2730: mworld] :
( ~ ( mrel @ SV380 @ SY2730 )
| ( member @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SY2730 ) ) )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2400]) ).
thf(2537,plain,
! [SV91: $i,SV508: $i,SV250: $i,SV170: mworld,SV8: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) ) )
= $false )
| ( ( ~ ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2401]) ).
thf(2538,plain,
! [SV381: mworld,SV250: $i,SV170: mworld,SV8: mworld,SV508: $i,SV91: $i] :
( ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( ~ ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2401]) ).
thf(2539,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV624: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ SV624 )
| ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV624 ) )
= $true )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( mrel @ SV323 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2403]) ).
thf(2540,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV598: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ SV598 ) )
= $true )
| ( ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV598 )
= $true )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( function @ SV256 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) )
= $false )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2404]) ).
thf(2541,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV599: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ SV599 ) )
= $true )
| ( ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV599 )
= $true )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( mrel @ SV323 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2405]) ).
thf(2542,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV573: mworld,SV323: mworld] :
( ( ( mrel @ SV323 @ SV573 )
= $false )
| ( ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV573 )
= $true )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( function @ SV256 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) )
= $false )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2406]) ).
thf(2543,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV471: mworld] :
( ( ( ! [SY2642: mworld] :
( ~ ( mrel @ SV471 @ SY2642 )
| ( member @ SV384 @ SV103 @ SY2642 ) ) )
= $true )
| ( ( ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV471 @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2407]) ).
thf(2544,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV625: mworld,SV471: mworld] :
( ( ( ~ ( mrel @ SV471 @ SV625 )
| ( member @ SV384 @ SV103 @ SV625 ) )
= $true )
| ( ( ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $false )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2408]) ).
thf(2545,plain,
! [SV384: $i,SV103: $i,SV259: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV472: mworld] :
( ( ( mrel @ SV472 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) )
= $true )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2409]) ).
thf(2546,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV626: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ SV626 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV626 ) )
= $true )
| ( ( member @ SV384 @ SV103 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) )
= $false )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2410]) ).
thf(2547,plain,
! [SV384: $i,SV259: $i,SV103: $i,SV326: mworld,SV182: mworld,SV20: mworld,SV472: mworld] :
( ( ( mrel @ SV472 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) )
= $true )
| ( ( ! [SY2646: mworld] :
( ~ ( mrel @ SV472 @ SY2646 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SY2646 ) ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2411]) ).
thf(2548,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV627: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ SV627 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV627 ) )
= $true )
| ( ( member @ SV384 @ SV259 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) )
= $false )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2412]) ).
thf(2549,plain,
! [SV104: $i,SV260: $i,SV385: $i,SV473: $i,SV435: mworld,SV327: mworld,SV183: mworld,SV21: mworld,SV497: mworld] :
( ( ( mrel @ SV497 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) )
= $true )
| ( ( ! [SY2701: mworld] :
( ~ ( mrel @ SV497 @ SY2701 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SY2701 ) ) )
= $true )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2413]) ).
thf(2550,plain,
! [SV435: mworld,SV327: mworld,SV183: mworld,SV21: mworld,SV260: $i,SV104: $i,SV473: $i,SV385: $i,SV628: mworld,SV497: mworld] :
( ( ( ~ ( mrel @ SV497 @ SV628 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SV628 ) )
= $true )
| ( ( qmltpeq @ SV104 @ SV260 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) )
= $false )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2414]) ).
thf(2551,plain,
! [SV261: $i,SV185: mworld,SV23: mworld,SV106: $i,SV600: mworld,SV386: mworld] :
( ( ( ~ ( mrel @ SV386 @ SV600 ) )
= $true )
| ( ( member @ SV106 @ universal_class @ SV600 )
= $true )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2415]) ).
thf(2552,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV601: mworld,SV386: mworld] :
( ( ( ~ ( mrel @ SV386 @ SV601 ) )
= $true )
| ( ( subclass @ SV106 @ SV261 @ SV601 )
= $true )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2416]) ).
thf(2553,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV574: mworld,SV386: mworld] :
( ( ( mrel @ SV386 @ SV574 )
= $false )
| ( ( member @ SV106 @ universal_class @ SV574 )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2417]) ).
thf(2554,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV575: mworld,SV386: mworld] :
( ( ( mrel @ SV386 @ SV575 )
= $false )
| ( ( subclass @ SV106 @ SV261 @ SV575 )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $false )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2418]) ).
thf(2555,plain,
! [SV106: $i,SV261: $i,SV23: mworld,SV185: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
| ( subclass @ SV106 @ SV261 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) ) )
= $false )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2419]) ).
thf(2556,plain,
! [SV106: $i,SV261: $i,SV23: mworld,SV185: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) ) )
= $false )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2557,plain,
! [SV387: mworld,SV23: mworld,SV185: mworld,SV261: $i,SV106: $i] :
( ( ( subclass @ SV106 @ SV261 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2558,plain,
! [SV263: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV389: $i,SV108: $i,SV437: mworld] :
( ( ( ! [SY2545: mworld] :
( ~ ( mrel @ SV437 @ SY2545 )
| ( subclass @ SV108 @ SV389 @ SY2545 ) ) )
= $false )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2422]) ).
thf(2559,plain,
! [SV108: $i,SV389: $i,SV263: $i,SV25: mworld,SV187: mworld,SV329: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) )
| ( subclass @ SV108 @ SV389 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) ) )
= $false )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2423]) ).
thf(2560,plain,
! [SV109: $i,SV188: mworld,SV26: mworld,SV264: $i,SV602: mworld,SV390: mworld] :
( ( ( ~ ( mrel @ SV390 @ SV602 ) )
= $true )
| ( ( member @ SV264 @ universal_class @ SV602 )
= $true )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2424]) ).
thf(2561,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV603: mworld,SV390: mworld] :
( ( ( ~ ( mrel @ SV390 @ SV603 ) )
= $true )
| ( ( ~ ! [SY2779: mworld] :
( ~ ( mrel @ SV603 @ SY2779 )
| ( member @ SV264 @ SV109 @ SY2779 ) ) )
= $true )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2425]) ).
thf(2562,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV576: mworld,SV390: mworld] :
( ( ( mrel @ SV390 @ SV576 )
= $false )
| ( ( member @ SV264 @ universal_class @ SV576 )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2426]) ).
thf(2563,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV577: mworld,SV390: mworld] :
( ( ( mrel @ SV390 @ SV577 )
= $false )
| ( ( ~ ! [SY2770: mworld] :
( ~ ( mrel @ SV577 @ SY2770 )
| ( member @ SV264 @ SV109 @ SY2770 ) ) )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2564,plain,
! [SV264: $i,SV109: $i,SV26: mworld,SV188: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) )
| ~ ! [SY2792: mworld] :
( ~ ( mrel @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SY2792 )
| ( member @ SV264 @ SV109 @ SY2792 ) ) )
= $false )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2428]) ).
thf(2565,plain,
! [SV264: $i,SV109: $i,SV26: mworld,SV188: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) ) )
= $false )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2429]) ).
thf(2566,plain,
! [SV391: mworld,SV264: $i,SV109: $i,SV26: mworld,SV188: mworld] :
( ( ( ~ ! [SY2780: mworld] :
( ~ ( mrel @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SY2780 )
| ( member @ SV264 @ SV109 @ SY2780 ) ) )
= $false )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2429]) ).
thf(2567,plain,
! [SV114: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV394: $i,SV269: $i,SV440: mworld] :
( ( ( ! [SY2552: mworld] :
( ~ ( mrel @ SV440 @ SY2552 )
| ( qmltpeq @ SV269 @ SV394 @ SY2552 ) ) )
= $false )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2432]) ).
thf(2568,plain,
! [SV269: $i,SV394: $i,SV114: $i,SV32: mworld,SV193: mworld,SV334: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) )
| ( qmltpeq @ SV269 @ SV394 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) ) )
= $false )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2433]) ).
thf(2569,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV270: $i,SV115: $i,SV604: $i,SV629: mworld,SV527: mworld] :
( ( ( ~ ( mrel @ SV527 @ SV629 )
| ~ ! [SY2793: mworld] :
( ~ ( mrel @ SV629 @ SY2793 )
| ( member @ SV604 @ SV115 @ SY2793 ) )
| ! [SY2794: mworld] :
( ~ ( mrel @ SV629 @ SY2794 )
| ( member @ SV604 @ SV270 @ SY2794 ) ) )
= $true )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2570,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV270: $i,SV115: $i,SV578: $i,SV605: mworld,SV513: mworld] :
( ( ( ~ ( mrel @ SV513 @ SV605 ) )
= $true )
| ( ( ~ ! [SY2784: mworld] :
( ~ ( mrel @ SV605 @ SY2784 )
| ( member @ SV578 @ SV115 @ SY2784 ) )
| ! [SY2785: mworld] :
( ~ ( mrel @ SV605 @ SY2785 )
| ( member @ SV578 @ SV270 @ SY2785 ) ) )
= $true )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2435]) ).
thf(2571,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV606: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ SV606 ) )
= $true )
| ( ( subclass @ SV115 @ SV270 @ SV606 )
= $true )
| ( ( mrel @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2436]) ).
thf(2572,plain,
! [SV630: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV630 )
| ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SV630 ) )
= $true )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2437]) ).
thf(2573,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2438]) ).
thf(2574,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV270 @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $false )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2438]) ).
thf(2575,plain,
! [SV116: $i,SV195: mworld,SV34: mworld,SV271: $i,SV631: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ SV631 )
| ( function @ SV271 @ SV631 ) )
= $true )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( mrel @ SV335 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2439]) ).
thf(2576,plain,
! [SV116: $i,SV195: mworld,SV34: mworld,SV271: $i,SV607: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ SV607 ) )
= $true )
| ( ( function @ SV271 @ SV607 )
= $true )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( function @ SV116 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) )
= $false )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2440]) ).
thf(2577,plain,
! [SV195: mworld,SV34: mworld,SV116: $i,SV271: $i,SV608: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ SV608 ) )
= $true )
| ( ( function @ SV271 @ SV608 )
= $true )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( mrel @ SV335 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2441]) ).
thf(2578,plain,
! [SV195: mworld,SV34: mworld,SV116: $i,SV271: $i,SV579: mworld,SV335: mworld] :
( ( ( mrel @ SV335 @ SV579 )
= $false )
| ( ( function @ SV271 @ SV579 )
= $true )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( function @ SV116 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2442]) ).
thf(2579,plain,
! [SV275: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV121: $i,SV400: $i,SV444: mworld] :
( ( ( ! [SY2559: mworld] :
( ~ ( mrel @ SV444 @ SY2559 )
| ( subclass @ SV400 @ SV121 @ SY2559 ) ) )
= $false )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2445]) ).
thf(2580,plain,
! [SV400: $i,SV121: $i,SV275: $i,SV39: mworld,SV200: mworld,SV339: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) )
| ( subclass @ SV400 @ SV121 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) ) )
= $false )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2446]) ).
thf(2581,plain,
! [SV278: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV403: $i,SV124: $i,SV447: mworld] :
( ( ( ! [SY2566: mworld] :
( ~ ( mrel @ SV447 @ SY2566 )
| ( member @ SV124 @ SV403 @ SY2566 ) ) )
= $false )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2582,plain,
! [SV124: $i,SV403: $i,SV278: $i,SV42: mworld,SV203: mworld,SV342: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) )
| ( member @ SV124 @ SV403 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) ) )
= $false )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2450]) ).
thf(2583,plain,
! [SV127: $i,SV206: mworld,SV45: mworld,SV280: $i,SV632: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ SV632 )
| ( inductive @ SV280 @ SV632 ) )
= $true )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( mrel @ SV344 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2452]) ).
thf(2584,plain,
! [SV127: $i,SV206: mworld,SV45: mworld,SV280: $i,SV609: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ SV609 ) )
= $true )
| ( ( inductive @ SV280 @ SV609 )
= $true )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( inductive @ SV127 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) )
= $false )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2453]) ).
thf(2585,plain,
! [SV206: mworld,SV45: mworld,SV127: $i,SV280: $i,SV610: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ SV610 ) )
= $true )
| ( ( inductive @ SV280 @ SV610 )
= $true )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( mrel @ SV344 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2454]) ).
thf(2586,plain,
! [SV206: mworld,SV45: mworld,SV127: $i,SV280: $i,SV580: mworld,SV344: mworld] :
( ( ( mrel @ SV344 @ SV580 )
= $false )
| ( ( inductive @ SV280 @ SV580 )
= $true )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( inductive @ SV127 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2455]) ).
thf(2587,plain,
! [SV281: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV406: $i,SV128: $i,SV450: mworld] :
( ( ( ! [SY2571: mworld] :
( ~ ( mrel @ SV450 @ SY2571 )
| ( disjoint @ SV128 @ SV406 @ SY2571 ) ) )
= $false )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2456]) ).
thf(2588,plain,
! [SV128: $i,SV406: $i,SV281: $i,SV46: mworld,SV207: mworld,SV345: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) )
| ( disjoint @ SV128 @ SV406 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) ) )
= $false )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2457]) ).
thf(2589,plain,
! [SV243: mworld,SV534: mworld,SV370: $i,SV611: mworld,SV373: mworld] :
( ( ( ~ ( mrel @ SV373 @ SV611 ) )
= $true )
| ( ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SV611 )
= $true )
| ( ( qmltpeq @ SV370 @ null_class @ SV534 )
= $true )
| ( ( mrel @ SV373 @ SV534 )
= $false )
| ( ( mrel @ SV373 @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2458]) ).
thf(2590,plain,
! [SV243: mworld,SV514: mworld,SV370: $i,SV581: mworld,SV373: mworld] :
( ( ( mrel @ SV373 @ SV581 )
= $false )
| ( ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SV581 )
= $true )
| ( ( qmltpeq @ SV370 @ null_class @ SV514 )
= $true )
| ( ( mrel @ SV373 @ SV514 )
= $false )
| ( ( member @ SV370 @ universal_class @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $false )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2459]) ).
thf(2591,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV612: mworld,SV407: mworld] :
( ( ( ~ ( mrel @ SV407 @ SV612 ) )
= $true )
| ( ( subclass @ SV130 @ SV282 @ SV612 )
= $true )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2460]) ).
thf(2592,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV613: mworld,SV407: mworld] :
( ( ( ~ ( mrel @ SV407 @ SV613 ) )
= $true )
| ( ( subclass @ SV282 @ SV130 @ SV613 )
= $true )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2461]) ).
thf(2593,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV582: mworld,SV407: mworld] :
( ( ( mrel @ SV407 @ SV582 )
= $false )
| ( ( subclass @ SV130 @ SV282 @ SV582 )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2594,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV583: mworld,SV407: mworld] :
( ( ( mrel @ SV407 @ SV583 )
= $false )
| ( ( subclass @ SV282 @ SV130 @ SV583 )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $false )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2463]) ).
thf(2595,plain,
! [SV282: $i,SV130: $i,SV48: mworld,SV209: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
| ( subclass @ SV282 @ SV130 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) ) )
= $false )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2464]) ).
thf(2596,plain,
! [SV282: $i,SV130: $i,SV48: mworld,SV209: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) ) )
= $false )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2465]) ).
thf(2597,plain,
! [SV408: mworld,SV48: mworld,SV209: mworld,SV130: $i,SV282: $i] :
( ( ( subclass @ SV282 @ SV130 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $false )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2465]) ).
thf(2598,plain,
! [SV372: mworld,SV451: $i,SV584: mworld,SV465: mworld] :
( ( ( mrel @ SV465 @ SV584 )
= $false )
| ( ( subclass @ sK3_SX0 @ SV451 @ SV584 )
= $true )
| ( ( mrel @ SV465 @ ( sK62_SY2630 @ SV372 @ SV451 @ SV465 ) )
= $true )
| ( ( mrel @ SV372 @ SV465 )
= $false )
| ( ( mrel @ mactual @ SV372 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2466]) ).
thf(2599,plain,
! [SV286: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV136: $i,SV409: $i,SV452: mworld] :
( ( ( ! [SY2577: mworld] :
( ~ ( mrel @ SV452 @ SY2577 )
| ( disjoint @ SV409 @ SV136 @ SY2577 ) ) )
= $false )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2468]) ).
thf(2600,plain,
! [SV409: $i,SV136: $i,SV286: $i,SV54: mworld,SV215: mworld,SV349: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) )
| ( disjoint @ SV409 @ SV136 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) ) )
= $false )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2469]) ).
thf(2601,plain,
! [SV55: mworld,SV137: $i,SV614: mworld,SV288: mworld] :
( ( ( ~ ( mrel @ SV288 @ SV614 ) )
= $true )
| ( ( function @ SV137 @ SV614 )
= $true )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( mrel @ SV288 @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2470]) ).
thf(2602,plain,
! [SV55: mworld,SV137: $i,SV585: mworld,SV288: mworld] :
( ( ( mrel @ SV288 @ SV585 )
= $false )
| ( ( function @ SV137 @ SV585 )
= $true )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( subclass @ ( compose @ SV137 @ ( inverse @ SV137 ) ) @ identity_relation @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2471]) ).
thf(2603,plain,
! [SV55: mworld,SV137: $i,SV586: mworld,SV288: mworld] :
( ( ( mrel @ SV288 @ SV586 )
= $false )
| ( ( function @ SV137 @ SV586 )
= $true )
| ( ( subclass @ SV137 @ ( cross_product @ universal_class @ universal_class ) @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $false )
| ( ( mrel @ SV288 @ ( sK63_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2472]) ).
thf(2604,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV289: $i,SV138: $i,SV615: $i,SV633: mworld,SV535: mworld] :
( ( ( ~ ( mrel @ SV535 @ SV633 )
| ~ ~ ( ~ ! [SY2795: mworld] :
( ~ ( mrel @ SV633 @ SY2795 )
| ( member @ SV615 @ SV138 @ SY2795 ) )
| ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) ) )
= $true )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2474]) ).
thf(2605,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV289: $i,SV138: $i,SV587: $i,SV616: mworld,SV517: mworld] :
( ( ( ~ ( mrel @ SV517 @ SV616 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2789: mworld] :
( ~ ( mrel @ SV616 @ SY2789 )
| ( member @ SV587 @ SV138 @ SY2789 ) )
| ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) ) )
= $true )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2475]) ).
thf(2606,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV617: mworld,SV411: mworld] :
( ( ( ~ ( mrel @ SV411 @ SV617 ) )
= $true )
| ( ( disjoint @ SV138 @ SV289 @ SV617 )
= $true )
| ( ( mrel @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2476]) ).
thf(2607,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ~ ! [SY2741: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2741 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SY2741 ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2477]) ).
thf(2608,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ~ ! [SY2742: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2742 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SY2742 ) ) )
= $false )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2477]) ).
thf(2609,plain,
! [SV290: $i,SV217: mworld,SV57: mworld,SV139: $i,SV618: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV618 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ SV618 )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2478]) ).
thf(2610,plain,
! [SV139: $i,SV217: mworld,SV57: mworld,SV290: $i,SV412: mworld] :
( ( ( ~ ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) ) )
= $false )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2479]) ).
thf(2611,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV412: mworld] :
( ( ( ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) )
= $false )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2479]) ).
thf(2612,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV588: mworld,SV412: mworld] :
( ( ( mrel @ SV412 @ SV588 )
= $false )
| ( ( member @ SV139 @ universal_class @ SV588 )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2480]) ).
thf(2613,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV412: mworld] :
( ( ( ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2481]) ).
thf(2614,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV412: mworld] :
( ( ( ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2482]) ).
thf(2615,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV413: mworld] :
( ( ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) )
| ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2483]) ).
thf(2616,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV413: mworld] :
( ( ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) ) )
= $true )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2484]) ).
thf(2617,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) )
| ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) )
= $false )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2485]) ).
thf(2618,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) ) )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2486]) ).
thf(2619,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2486]) ).
thf(2620,plain,
! [SV140: $i,SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
| ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) ) )
= $false )
| ( ( ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2487]) ).
thf(2621,plain,
! [SV61: mworld,SV142: $i,SV619: mworld,SV294: mworld] :
( ( ( ~ ( mrel @ SV294 @ SV619 ) )
= $true )
| ( ( inductive @ SV142 @ SV619 )
= $true )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( mrel @ SV294 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2489]) ).
thf(2622,plain,
! [SV61: mworld,SV142: $i,SV589: mworld,SV294: mworld] :
( ( ( mrel @ SV294 @ SV589 )
= $false )
| ( ( inductive @ SV142 @ SV589 )
= $true )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( subclass @ ( image @ successor_relation @ SV142 ) @ SV142 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2490]) ).
thf(2623,plain,
! [SV61: mworld,SV142: $i,SV590: mworld,SV294: mworld] :
( ( ( mrel @ SV294 @ SV590 )
= $false )
| ( ( inductive @ SV142 @ SV590 )
= $true )
| ( ( member @ null_class @ SV142 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $false )
| ( ( mrel @ SV294 @ ( sK65_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2491]) ).
thf(2624,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV538: mworld] :
( ( ( ! [SY2743: mworld] :
( ~ ( mrel @ SV538 @ SY2743 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2743 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2493]) ).
thf(2625,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV539: mworld] :
( ( ( ~ ( ~ ! [SY2746: mworld] :
( ~ ( mrel @ SV539 @ SY2746 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2746 ) )
| ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) ) )
= $false )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2494]) ).
thf(2626,plain,
! [SV145: $i,SV64: mworld,SV591: mworld,SV222: mworld] :
( ( ( mrel @ SV222 @ SV591 )
= $false )
| ( ( member @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SV591 )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2627,plain,
! [SV145: $i,SV64: mworld,SV592: mworld,SV222: mworld] :
( ( ( mrel @ SV222 @ SV592 )
= $false )
| ( ( disjoint @ ( sK21_SY1530 @ SV64 @ SV145 @ SV222 ) @ SV145 @ SV592 )
= $true )
| ( ( mrel @ SV222 @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) )
= $true )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2496]) ).
thf(2628,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV593: mworld,SV222: mworld] :
( ( ( mrel @ SV222 @ SV593 )
= $false )
| ( ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ universal_class @ SV593 )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2497]) ).
thf(2629,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ! [SY2711: mworld] :
( ~ ( mrel @ SV222 @ SY2711 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2711 ) ) )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2498]) ).
thf(2630,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV222: mworld] :
( ( ( ! [SY2712: mworld] :
( ~ ( mrel @ SV222 @ SY2712 )
| ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SY2712 ) ) )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2499]) ).
thf(2631,plain,
! [SV146: $i,SV223: mworld,SV65: mworld,SV297: $i,SV620: mworld,SV417: mworld] :
( ( ( ~ ( mrel @ SV417 @ SV620 ) )
= $true )
| ( ( member @ SV297 @ universal_class @ SV620 )
= $true )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2500]) ).
thf(2632,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV621: mworld,SV417: mworld] :
( ( ( ~ ( mrel @ SV417 @ SV621 ) )
= $true )
| ( ( member @ SV146 @ SV297 @ SV621 )
= $true )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2501]) ).
thf(2633,plain,
! [SV223: mworld,SV65: mworld,SV146: $i,SV297: $i,SV594: mworld,SV417: mworld] :
( ( ( mrel @ SV417 @ SV594 )
= $false )
| ( ( member @ SV297 @ universal_class @ SV594 )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2502]) ).
thf(2634,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV595: mworld,SV417: mworld] :
( ( ( mrel @ SV417 @ SV595 )
= $false )
| ( ( member @ SV146 @ SV297 @ SV595 )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $false )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2503]) ).
thf(2635,plain,
! [SV146: $i,SV297: $i,SV65: mworld,SV223: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
| ( member @ SV146 @ SV297 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) ) )
= $false )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2504]) ).
thf(2636,plain,
! [SV146: $i,SV297: $i,SV65: mworld,SV223: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) ) )
= $false )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2505]) ).
thf(2637,plain,
! [SV418: mworld,SV65: mworld,SV223: mworld,SV297: $i,SV146: $i] :
( ( ( member @ SV146 @ SV297 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $false )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2505]) ).
thf(2638,plain,
! [SV302: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV152: $i,SV423: $i,SV460: mworld] :
( ( ( ! [SY2599: mworld] :
( ~ ( mrel @ SV460 @ SY2599 )
| ( member @ SV423 @ SV152 @ SY2599 ) ) )
= $false )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2510]) ).
thf(2639,plain,
! [SV423: $i,SV152: $i,SV302: $i,SV71: mworld,SV229: mworld,SV358: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) )
| ( member @ SV423 @ SV152 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) ) )
= $false )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2511]) ).
thf(2640,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV545: mworld] :
( ( ( ! [SY2749: mworld] :
( ~ ( mrel @ SV545 @ SY2749 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2749 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2513]) ).
thf(2641,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV546: mworld] :
( ( ( ~ ( ~ ! [SY2752: mworld] :
( ~ ( mrel @ SV546 @ SY2752 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2752 ) )
| ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) ) )
= $false )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2514]) ).
thf(2642,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV547: mworld] :
( ( ( ! [SY2755: mworld] :
( ~ ( mrel @ SV547 @ SY2755 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2755 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2515]) ).
thf(2643,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV548: mworld] :
( ( ( ~ ( ~ ! [SY2758: mworld] :
( ~ ( mrel @ SV548 @ SY2758 )
| ( member @ SV426 @ universal_class @ SY2758 ) )
| ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) ) )
= $false )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2516]) ).
thf(2644,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV549: mworld] :
( ( ( ! [SY2761: mworld] :
( ~ ( mrel @ SV549 @ SY2761 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2761 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2517]) ).
thf(2645,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV550: mworld] :
( ( ( ~ ( ~ ! [SY2764: mworld] :
( ~ ( mrel @ SV550 @ SY2764 )
| ( member @ SV159 @ SV427 @ SY2764 ) )
| ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) ) )
= $false )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2518]) ).
thf(2646,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV487: mworld] :
( ( ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) )
| ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) )
= $false )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2519]) ).
thf(2647,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV487: mworld] :
( ( ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) ) )
= $false )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2520]) ).
thf(2648,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV310: $i,SV428: $i,SV487: mworld] :
( ( ( ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) )
= $false )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2520]) ).
thf(2649,plain,
! [SV428: $i,SV161: $i,SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
| ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) ) )
= $false )
| ( ( ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2521]) ).
thf(2650,plain,
! [SV429: mworld,SV314: mworld,SV165: mworld,SV3: mworld,SV245: $i,SV466: $i,SV86: $i,SV374: $i,SV634: mworld,SV492: mworld] :
( ( ( ~ ( mrel @ SV492 @ SV634 )
| ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SV634 ) )
= $true )
| ( ( mrel @ SV492 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) )
= $true )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2522]) ).
thf(2651,plain,
! [SV429: mworld,SV314: mworld,SV165: mworld,SV3: mworld,SV245: $i,SV466: $i,SV86: $i,SV374: $i,SV622: mworld,SV492: mworld] :
( ( ( ~ ( mrel @ SV492 @ SV622 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SV622 )
= $true )
| ( ( qmltpeq @ SV86 @ SV245 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) )
= $false )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2523]) ).
thf(2652,plain,
! [SV87: $i,SV166: mworld,SV4: mworld,SV246: $i,SV596: mworld,SV375: mworld] :
( ( ( mrel @ SV375 @ SV596 )
= $false )
| ( ( member @ SV246 @ universal_class @ SV596 )
= $true )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2524]) ).
thf(2653,plain,
! [SV166: mworld,SV4: mworld,SV246: $i,SV87: $i,SV597: mworld,SV375: mworld] :
( ( ( mrel @ SV375 @ SV597 )
= $false )
| ( ( ~ ! [SY2777: mworld] :
( ~ ( mrel @ SV597 @ SY2777 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2777 ) ) )
= $true )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2525]) ).
thf(2654,plain,
! [SV166: mworld,SV4: mworld,SV375: mworld,SV246: $i,SV87: $i,SV572: mworld] :
( ( ( ! [SY2769: mworld] :
( ~ ( mrel @ SV572 @ SY2769 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2769 ) ) )
= $false )
| ( ( mrel @ SV375 @ SV572 )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2527]) ).
thf(2655,plain,
! [SV87: $i,SV246: $i,SV4: mworld,SV166: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) ) )
= $false )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2528]) ).
thf(2656,plain,
! [SV376: mworld,SV87: $i,SV246: $i,SV4: mworld,SV166: mworld] :
( ( ( ~ ! [SY2791: mworld] :
( ~ ( mrel @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SY2791 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2791 ) ) )
= $false )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2528]) ).
thf(2657,plain,
! [SV87: $i,SV246: $i,SV4: mworld,SV166: mworld,SV376: mworld] :
( ( ( mrel @ SV376 @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2529]) ).
thf(2658,plain,
! [SV376: mworld,SV87: $i,SV246: $i,SV4: mworld,SV166: mworld] :
( ( ( ! [SY2778: mworld] :
( ~ ( mrel @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SY2778 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2778 ) ) )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2530]) ).
thf(2659,plain,
! [SV431: mworld,SV316: mworld,SV168: mworld,SV6: mworld,SV248: $i,SV467: $i,SV378: $i,SV89: $i,SV635: mworld,SV493: mworld] :
( ( ( ~ ( mrel @ SV493 @ SV635 )
| ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SV635 ) )
= $true )
| ( ( mrel @ SV493 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) )
= $true )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2531]) ).
thf(2660,plain,
! [SV431: mworld,SV316: mworld,SV168: mworld,SV6: mworld,SV248: $i,SV467: $i,SV378: $i,SV89: $i,SV623: mworld,SV493: mworld] :
( ( ( ~ ( mrel @ SV493 @ SV623 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SV623 )
= $true )
| ( ( qmltpeq @ SV89 @ SV248 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) )
= $false )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2532]) ).
thf(2661,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV380: mworld] :
( ( ( ! [SY2767: mworld] :
( ~ ( mrel @ SV380 @ SY2767 )
| ( member @ SV91 @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SY2767 ) ) )
= $true )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2533]) ).
thf(2662,plain,
! [SV91: $i,SV250: $i,SV8: mworld,SV170: mworld,SV380: mworld] :
( ( ( ! [SY2768: mworld] :
( ~ ( mrel @ SV380 @ SY2768 )
| ( member @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SY2768 ) ) )
= $true )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2534]) ).
thf(2663,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV636: mworld,SV380: mworld] :
( ( ( ~ ( mrel @ SV380 @ SV636 )
| ( member @ SV91 @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV636 ) )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2535]) ).
thf(2664,plain,
! [SV91: $i,SV250: $i,SV8: mworld,SV170: mworld,SV637: mworld,SV380: mworld] :
( ( ( ~ ( mrel @ SV380 @ SV637 )
| ( member @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SV637 ) )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2536]) ).
thf(2665,plain,
! [SV91: $i,SV508: $i,SV250: $i,SV170: mworld,SV8: mworld,SV381: mworld] :
( ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( ~ ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2537]) ).
thf(2666,plain,
! [SV170: mworld,SV8: mworld,SV91: $i,SV250: $i,SV508: $i,SV381: mworld] :
( ( ( ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) )
= $false )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2538]) ).
thf(2667,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV624: mworld,SV323: mworld] :
( ( ( ~ ( mrel @ SV323 @ SV624 ) )
= $true )
| ( ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV624 )
= $true )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( mrel @ SV323 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2539]) ).
thf(2668,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV598: mworld,SV323: mworld] :
( ( ( mrel @ SV323 @ SV598 )
= $false )
| ( ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV598 )
= $true )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( function @ SV256 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) )
= $false )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2540]) ).
thf(2669,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV599: mworld,SV323: mworld] :
( ( ( mrel @ SV323 @ SV599 )
= $false )
| ( ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV599 )
= $true )
| ( ( member @ SV98 @ universal_class @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $false )
| ( ( mrel @ SV323 @ ( sK68_SY2077 @ SV177 @ SV15 @ SV98 @ SV256 @ SV323 ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2541]) ).
thf(2670,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV638: mworld,SV471: mworld] :
( ( ( ~ ( mrel @ SV471 @ SV638 )
| ( member @ SV384 @ SV103 @ SV638 ) )
= $true )
| ( ( ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV471 @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2543]) ).
thf(2671,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV625: mworld,SV471: mworld] :
( ( ( ~ ( mrel @ SV471 @ SV625 ) )
= $true )
| ( ( member @ SV384 @ SV103 @ SV625 )
= $true )
| ( ( ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $false )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2544]) ).
thf(2672,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV639: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ SV639 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV639 ) )
= $true )
| ( ( mrel @ SV472 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2545]) ).
thf(2673,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV626: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ SV626 ) )
= $true )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV626 )
= $true )
| ( ( member @ SV384 @ SV103 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) )
= $false )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2546]) ).
thf(2674,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV640: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ SV640 )
| ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV640 ) )
= $true )
| ( ( mrel @ SV472 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2547]) ).
thf(2675,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV627: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ SV627 ) )
= $true )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV627 )
= $true )
| ( ( member @ SV384 @ SV259 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) )
= $false )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2548]) ).
thf(2676,plain,
! [SV435: mworld,SV327: mworld,SV183: mworld,SV21: mworld,SV260: $i,SV104: $i,SV473: $i,SV385: $i,SV641: mworld,SV497: mworld] :
( ( ( ~ ( mrel @ SV497 @ SV641 )
| ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SV641 ) )
= $true )
| ( ( mrel @ SV497 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) )
= $true )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2549]) ).
thf(2677,plain,
! [SV435: mworld,SV327: mworld,SV183: mworld,SV21: mworld,SV260: $i,SV104: $i,SV473: $i,SV385: $i,SV628: mworld,SV497: mworld] :
( ( ( ~ ( mrel @ SV497 @ SV628 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SV628 )
= $true )
| ( ( qmltpeq @ SV104 @ SV260 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) )
= $false )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2550]) ).
thf(2678,plain,
! [SV261: $i,SV185: mworld,SV23: mworld,SV106: $i,SV600: mworld,SV386: mworld] :
( ( ( mrel @ SV386 @ SV600 )
= $false )
| ( ( member @ SV106 @ universal_class @ SV600 )
= $true )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2551]) ).
thf(2679,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV601: mworld,SV386: mworld] :
( ( ( mrel @ SV386 @ SV601 )
= $false )
| ( ( subclass @ SV106 @ SV261 @ SV601 )
= $true )
| ( ( mrel @ SV386 @ ( sK32_SY2338 @ SV23 @ SV185 @ SV261 @ SV106 @ SV386 ) )
= $true )
| ( ( mrel @ SV185 @ SV386 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2552]) ).
thf(2680,plain,
! [SV106: $i,SV261: $i,SV23: mworld,SV185: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) ) )
= $false )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2555]) ).
thf(2681,plain,
! [SV387: mworld,SV23: mworld,SV185: mworld,SV261: $i,SV106: $i] :
( ( ( subclass @ SV106 @ SV261 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2555]) ).
thf(2682,plain,
! [SV106: $i,SV261: $i,SV23: mworld,SV185: mworld,SV387: mworld] :
( ( ( mrel @ SV387 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2556]) ).
thf(2683,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV642: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ SV642 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SV642 ) )
= $true )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( subclass @ SV106 @ SV261 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2557]) ).
thf(2684,plain,
! [SV108: $i,SV389: $i,SV25: mworld,SV187: mworld,SV329: mworld,SV263: $i,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) )
| ( subclass @ SV108 @ SV389 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) ) )
= $false )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2558]) ).
thf(2685,plain,
! [SV108: $i,SV389: $i,SV263: $i,SV25: mworld,SV187: mworld,SV329: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) ) )
= $false )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2559]) ).
thf(2686,plain,
! [SV437: mworld,SV263: $i,SV25: mworld,SV187: mworld,SV329: mworld,SV389: $i,SV108: $i] :
( ( ( subclass @ SV108 @ SV389 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) )
= $false )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2559]) ).
thf(2687,plain,
! [SV109: $i,SV188: mworld,SV26: mworld,SV264: $i,SV602: mworld,SV390: mworld] :
( ( ( mrel @ SV390 @ SV602 )
= $false )
| ( ( member @ SV264 @ universal_class @ SV602 )
= $true )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2560]) ).
thf(2688,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV603: mworld,SV390: mworld] :
( ( ( mrel @ SV390 @ SV603 )
= $false )
| ( ( ~ ! [SY2779: mworld] :
( ~ ( mrel @ SV603 @ SY2779 )
| ( member @ SV264 @ SV109 @ SY2779 ) ) )
= $true )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2689,plain,
! [SV188: mworld,SV26: mworld,SV390: mworld,SV109: $i,SV264: $i,SV577: mworld] :
( ( ( ! [SY2770: mworld] :
( ~ ( mrel @ SV577 @ SY2770 )
| ( member @ SV264 @ SV109 @ SY2770 ) ) )
= $false )
| ( ( mrel @ SV390 @ SV577 )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2563]) ).
thf(2690,plain,
! [SV264: $i,SV109: $i,SV26: mworld,SV188: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) ) )
= $false )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2691,plain,
! [SV391: mworld,SV264: $i,SV109: $i,SV26: mworld,SV188: mworld] :
( ( ( ~ ! [SY2792: mworld] :
( ~ ( mrel @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SY2792 )
| ( member @ SV264 @ SV109 @ SY2792 ) ) )
= $false )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2692,plain,
! [SV264: $i,SV109: $i,SV26: mworld,SV188: mworld,SV391: mworld] :
( ( ( mrel @ SV391 @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2565]) ).
thf(2693,plain,
! [SV391: mworld,SV264: $i,SV109: $i,SV26: mworld,SV188: mworld] :
( ( ( ! [SY2780: mworld] :
( ~ ( mrel @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SY2780 )
| ( member @ SV264 @ SV109 @ SY2780 ) ) )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2566]) ).
thf(2694,plain,
! [SV269: $i,SV394: $i,SV32: mworld,SV193: mworld,SV334: mworld,SV114: $i,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) )
| ( qmltpeq @ SV269 @ SV394 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) ) )
= $false )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2567]) ).
thf(2695,plain,
! [SV269: $i,SV394: $i,SV114: $i,SV32: mworld,SV193: mworld,SV334: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) ) )
= $false )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2568]) ).
thf(2696,plain,
! [SV440: mworld,SV114: $i,SV32: mworld,SV193: mworld,SV334: mworld,SV394: $i,SV269: $i] :
( ( ( qmltpeq @ SV269 @ SV394 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) )
= $false )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2568]) ).
thf(2697,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV270: $i,SV115: $i,SV604: $i,SV629: mworld,SV527: mworld] :
( ( ( ~ ( mrel @ SV527 @ SV629 ) )
= $true )
| ( ( ~ ! [SY2793: mworld] :
( ~ ( mrel @ SV629 @ SY2793 )
| ( member @ SV604 @ SV115 @ SY2793 ) )
| ! [SY2794: mworld] :
( ~ ( mrel @ SV629 @ SY2794 )
| ( member @ SV604 @ SV270 @ SY2794 ) ) )
= $true )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2569]) ).
thf(2698,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV270: $i,SV115: $i,SV578: $i,SV605: mworld,SV513: mworld] :
( ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( ~ ! [SY2784: mworld] :
( ~ ( mrel @ SV605 @ SY2784 )
| ( member @ SV578 @ SV115 @ SY2784 ) )
| ! [SY2785: mworld] :
( ~ ( mrel @ SV605 @ SY2785 )
| ( member @ SV578 @ SV270 @ SY2785 ) ) )
= $true )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2570]) ).
thf(2699,plain,
! [SV194: mworld,SV33: mworld,SV270: $i,SV115: $i,SV606: mworld,SV396: mworld] :
( ( ( mrel @ SV396 @ SV606 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ SV606 )
= $true )
| ( ( mrel @ ( sK35_SY2375 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2571]) ).
thf(2700,plain,
! [SV630: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( ~ ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV630 ) )
= $true )
| ( ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SV630 )
= $true )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2572]) ).
thf(2701,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $true )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2573]) ).
thf(2702,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV643: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ SV643 )
| ( subclass @ SV115 @ SV270 @ SV643 ) )
= $true )
| ( ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV270 @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $false )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2574]) ).
thf(2703,plain,
! [SV116: $i,SV195: mworld,SV34: mworld,SV271: $i,SV631: mworld,SV335: mworld] :
( ( ( ~ ( mrel @ SV335 @ SV631 ) )
= $true )
| ( ( function @ SV271 @ SV631 )
= $true )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( mrel @ SV335 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2575]) ).
thf(2704,plain,
! [SV116: $i,SV195: mworld,SV34: mworld,SV271: $i,SV607: mworld,SV335: mworld] :
( ( ( mrel @ SV335 @ SV607 )
= $false )
| ( ( function @ SV271 @ SV607 )
= $true )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( function @ SV116 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) )
= $false )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2576]) ).
thf(2705,plain,
! [SV195: mworld,SV34: mworld,SV116: $i,SV271: $i,SV608: mworld,SV335: mworld] :
( ( ( mrel @ SV335 @ SV608 )
= $false )
| ( ( function @ SV271 @ SV608 )
= $true )
| ( ( qmltpeq @ SV116 @ SV271 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $false )
| ( ( mrel @ SV335 @ ( sK72_SY2121 @ SV195 @ SV34 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2577]) ).
thf(2706,plain,
! [SV400: $i,SV121: $i,SV39: mworld,SV200: mworld,SV339: mworld,SV275: $i,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) )
| ( subclass @ SV400 @ SV121 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) ) )
= $false )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2579]) ).
thf(2707,plain,
! [SV400: $i,SV121: $i,SV275: $i,SV39: mworld,SV200: mworld,SV339: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) ) )
= $false )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2580]) ).
thf(2708,plain,
! [SV444: mworld,SV275: $i,SV39: mworld,SV200: mworld,SV339: mworld,SV121: $i,SV400: $i] :
( ( ( subclass @ SV400 @ SV121 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) )
= $false )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2580]) ).
thf(2709,plain,
! [SV124: $i,SV403: $i,SV42: mworld,SV203: mworld,SV342: mworld,SV278: $i,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) )
| ( member @ SV124 @ SV403 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) ) )
= $false )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2581]) ).
thf(2710,plain,
! [SV124: $i,SV403: $i,SV278: $i,SV42: mworld,SV203: mworld,SV342: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) ) )
= $false )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2582]) ).
thf(2711,plain,
! [SV447: mworld,SV278: $i,SV42: mworld,SV203: mworld,SV342: mworld,SV403: $i,SV124: $i] :
( ( ( member @ SV124 @ SV403 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) )
= $false )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2582]) ).
thf(2712,plain,
! [SV127: $i,SV206: mworld,SV45: mworld,SV280: $i,SV632: mworld,SV344: mworld] :
( ( ( ~ ( mrel @ SV344 @ SV632 ) )
= $true )
| ( ( inductive @ SV280 @ SV632 )
= $true )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( mrel @ SV344 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2583]) ).
thf(2713,plain,
! [SV127: $i,SV206: mworld,SV45: mworld,SV280: $i,SV609: mworld,SV344: mworld] :
( ( ( mrel @ SV344 @ SV609 )
= $false )
| ( ( inductive @ SV280 @ SV609 )
= $true )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( inductive @ SV127 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) )
= $false )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2584]) ).
thf(2714,plain,
! [SV206: mworld,SV45: mworld,SV127: $i,SV280: $i,SV610: mworld,SV344: mworld] :
( ( ( mrel @ SV344 @ SV610 )
= $false )
| ( ( inductive @ SV280 @ SV610 )
= $true )
| ( ( qmltpeq @ SV127 @ SV280 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $false )
| ( ( mrel @ SV344 @ ( sK73_SY2156 @ SV206 @ SV45 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2585]) ).
thf(2715,plain,
! [SV128: $i,SV406: $i,SV46: mworld,SV207: mworld,SV345: mworld,SV281: $i,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) )
| ( disjoint @ SV128 @ SV406 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) ) )
= $false )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2587]) ).
thf(2716,plain,
! [SV128: $i,SV406: $i,SV281: $i,SV46: mworld,SV207: mworld,SV345: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) ) )
= $false )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2588]) ).
thf(2717,plain,
! [SV450: mworld,SV281: $i,SV46: mworld,SV207: mworld,SV345: mworld,SV406: $i,SV128: $i] :
( ( ( disjoint @ SV128 @ SV406 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) )
= $false )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2588]) ).
thf(2718,plain,
! [SV243: mworld,SV534: mworld,SV370: $i,SV611: mworld,SV373: mworld] :
( ( ( mrel @ SV373 @ SV611 )
= $false )
| ( ( member @ ( apply @ sK1_SX0 @ SV370 ) @ SV370 @ SV611 )
= $true )
| ( ( qmltpeq @ SV370 @ null_class @ SV534 )
= $true )
| ( ( mrel @ SV373 @ SV534 )
= $false )
| ( ( mrel @ SV373 @ ( sK26_SY2286 @ SV243 @ SV370 @ SV373 ) )
= $true )
| ( ( mrel @ SV243 @ SV373 )
= $false )
| ( ( mrel @ mactual @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2589]) ).
thf(2719,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV612: mworld,SV407: mworld] :
( ( ( mrel @ SV407 @ SV612 )
= $false )
| ( ( subclass @ SV130 @ SV282 @ SV612 )
= $true )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2591]) ).
thf(2720,plain,
! [SV209: mworld,SV48: mworld,SV130: $i,SV282: $i,SV613: mworld,SV407: mworld] :
( ( ( mrel @ SV407 @ SV613 )
= $false )
| ( ( subclass @ SV282 @ SV130 @ SV613 )
= $true )
| ( ( mrel @ SV407 @ ( sK38_SY2408 @ SV48 @ SV209 @ SV282 @ SV130 @ SV407 ) )
= $true )
| ( ( mrel @ SV209 @ SV407 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2592]) ).
thf(2721,plain,
! [SV282: $i,SV130: $i,SV48: mworld,SV209: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) ) )
= $false )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2595]) ).
thf(2722,plain,
! [SV408: mworld,SV48: mworld,SV209: mworld,SV130: $i,SV282: $i] :
( ( ( subclass @ SV282 @ SV130 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $false )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2595]) ).
thf(2723,plain,
! [SV282: $i,SV130: $i,SV48: mworld,SV209: mworld,SV408: mworld] :
( ( ( mrel @ SV408 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $true )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2596]) ).
thf(2724,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV644: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ SV644 )
| ( qmltpeq @ SV130 @ SV282 @ SV644 ) )
= $true )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( subclass @ SV282 @ SV130 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $false )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2597]) ).
thf(2725,plain,
! [SV409: $i,SV136: $i,SV54: mworld,SV215: mworld,SV349: mworld,SV286: $i,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) )
| ( disjoint @ SV409 @ SV136 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) ) )
= $false )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2599]) ).
thf(2726,plain,
! [SV409: $i,SV136: $i,SV286: $i,SV54: mworld,SV215: mworld,SV349: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) ) )
= $false )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2600]) ).
thf(2727,plain,
! [SV452: mworld,SV286: $i,SV54: mworld,SV215: mworld,SV349: mworld,SV136: $i,SV409: $i] :
( ( ( disjoint @ SV409 @ SV136 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) )
= $false )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2600]) ).
thf(2728,plain,
! [SV55: mworld,SV137: $i,SV614: mworld,SV288: mworld] :
( ( ( mrel @ SV288 @ SV614 )
= $false )
| ( ( function @ SV137 @ SV614 )
= $true )
| ( ( mrel @ SV288 @ ( sK27_SY1882 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( mrel @ SV288 @ ( sK75_SY1883 @ SV55 @ SV137 @ SV288 ) )
= $true )
| ( ( mrel @ SV55 @ SV288 )
= $false )
| ( ( mrel @ mactual @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2601]) ).
thf(2729,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV289: $i,SV138: $i,SV615: $i,SV633: mworld,SV535: mworld] :
( ( ( ~ ( mrel @ SV535 @ SV633 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2795: mworld] :
( ~ ( mrel @ SV633 @ SY2795 )
| ( member @ SV615 @ SV138 @ SY2795 ) )
| ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) ) )
= $true )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2604]) ).
thf(2730,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV289: $i,SV138: $i,SV587: $i,SV616: mworld,SV517: mworld] :
( ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2789: mworld] :
( ~ ( mrel @ SV616 @ SY2789 )
| ( member @ SV587 @ SV138 @ SY2789 ) )
| ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) ) )
= $true )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2605]) ).
thf(2731,plain,
! [SV216: mworld,SV56: mworld,SV289: $i,SV138: $i,SV617: mworld,SV411: mworld] :
( ( ( mrel @ SV411 @ SV617 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ SV617 )
= $true )
| ( ( mrel @ ( sK40_SY2424 @ SV56 @ SV216 @ SV289 @ SV138 @ SV411 ) @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2606]) ).
thf(2732,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ! [SY2741: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2741 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SY2741 ) ) )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2607]) ).
thf(2733,plain,
! [SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ! [SY2742: mworld] :
( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SY2742 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SY2742 ) ) )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2608]) ).
thf(2734,plain,
! [SV290: $i,SV217: mworld,SV57: mworld,SV139: $i,SV618: mworld,SV412: mworld] :
( ( ( mrel @ SV412 @ SV618 )
= $false )
| ( ( member @ SV139 @ universal_class @ SV618 )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2609]) ).
thf(2735,plain,
! [SV139: $i,SV217: mworld,SV57: mworld,SV290: $i,SV412: mworld] :
( ( ( ! [SY2432: mworld] :
( ~ ( mrel @ SV412 @ SY2432 )
| ( member @ SV290 @ universal_class @ SY2432 ) ) )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2610]) ).
thf(2736,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV412: mworld] :
( ( ( ! [SY2433: mworld] :
( ~ ( mrel @ SV412 @ SY2433 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2433 ) ) )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2611]) ).
thf(2737,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV645: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV645 )
| ( member @ SV290 @ universal_class @ SV645 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2613]) ).
thf(2738,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV646: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV646 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SV646 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2614]) ).
thf(2739,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV413: mworld] :
( ( ( ~ ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) ) )
= $true )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2615]) ).
thf(2740,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV413: mworld] :
( ( ( ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) ) )
= $false )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2616]) ).
thf(2741,plain,
! [SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV140: $i,SV479: mworld] :
( ( ( ~ ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) ) )
= $false )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2617]) ).
thf(2742,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ~ ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) ) )
= $false )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2617]) ).
thf(2743,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2618]) ).
thf(2744,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2619]) ).
thf(2745,plain,
! [SV140: $i,SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) ) )
= $false )
| ( ( ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2746,plain,
! [SV480: mworld,SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV140: $i] :
( ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2747,plain,
! [SV61: mworld,SV142: $i,SV619: mworld,SV294: mworld] :
( ( ( mrel @ SV294 @ SV619 )
= $false )
| ( ( inductive @ SV142 @ SV619 )
= $true )
| ( ( mrel @ SV294 @ ( sK28_SY1929 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( mrel @ SV294 @ ( sK78_SY1930 @ SV61 @ SV142 @ SV294 ) )
= $true )
| ( ( mrel @ SV61 @ SV294 )
= $false )
| ( ( mrel @ mactual @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2621]) ).
thf(2748,plain,
! [SV295: $i,SV416: $i,SV481: $i,SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV538: mworld] :
( ( ( ~ ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2624]) ).
thf(2749,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV539: mworld] :
( ( ( ~ ! [SY2746: mworld] :
( ~ ( mrel @ SV539 @ SY2746 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2746 ) )
| ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2625]) ).
thf(2750,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV647: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV647 )
| ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SV647 ) )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2629]) ).
thf(2751,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV648: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV648 )
| ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SV648 ) )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(2752,plain,
! [SV146: $i,SV223: mworld,SV65: mworld,SV297: $i,SV620: mworld,SV417: mworld] :
( ( ( mrel @ SV417 @ SV620 )
= $false )
| ( ( member @ SV297 @ universal_class @ SV620 )
= $true )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2631]) ).
thf(2753,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV621: mworld,SV417: mworld] :
( ( ( mrel @ SV417 @ SV621 )
= $false )
| ( ( member @ SV146 @ SV297 @ SV621 )
= $true )
| ( ( mrel @ SV417 @ ( sK43_SY2461 @ SV65 @ SV223 @ SV297 @ SV146 @ SV417 ) )
= $true )
| ( ( mrel @ SV223 @ SV417 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2632]) ).
thf(2754,plain,
! [SV146: $i,SV297: $i,SV65: mworld,SV223: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) ) )
= $false )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2635]) ).
thf(2755,plain,
! [SV418: mworld,SV65: mworld,SV223: mworld,SV297: $i,SV146: $i] :
( ( ( member @ SV146 @ SV297 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $false )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2635]) ).
thf(2756,plain,
! [SV146: $i,SV297: $i,SV65: mworld,SV223: mworld,SV418: mworld] :
( ( ( mrel @ SV418 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $true )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2636]) ).
thf(2757,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV649: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ SV649 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV649 ) )
= $true )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( member @ SV146 @ SV297 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $false )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2637]) ).
thf(2758,plain,
! [SV423: $i,SV152: $i,SV71: mworld,SV229: mworld,SV358: mworld,SV302: $i,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) )
| ( member @ SV423 @ SV152 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) ) )
= $false )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2638]) ).
thf(2759,plain,
! [SV423: $i,SV152: $i,SV302: $i,SV71: mworld,SV229: mworld,SV358: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) ) )
= $false )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2639]) ).
thf(2760,plain,
! [SV460: mworld,SV302: $i,SV71: mworld,SV229: mworld,SV358: mworld,SV152: $i,SV423: $i] :
( ( ( member @ SV423 @ SV152 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) )
= $false )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2639]) ).
thf(2761,plain,
! [SV157: $i,SV306: $i,SV425: $i,SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV545: mworld] :
( ( ( ~ ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2640]) ).
thf(2762,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV546: mworld] :
( ( ( ~ ! [SY2752: mworld] :
( ~ ( mrel @ SV546 @ SY2752 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2752 ) )
| ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2641]) ).
thf(2763,plain,
! [SV426: $i,SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV547: mworld] :
( ( ( ~ ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2642]) ).
thf(2764,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV548: mworld] :
( ( ( ~ ! [SY2758: mworld] :
( ~ ( mrel @ SV548 @ SY2758 )
| ( member @ SV426 @ universal_class @ SY2758 ) )
| ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2643]) ).
thf(2765,plain,
! [SV159: $i,SV308: $i,SV427: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV549: mworld] :
( ( ( ~ ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2644]) ).
thf(2766,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV550: mworld] :
( ( ( ~ ! [SY2764: mworld] :
( ~ ( mrel @ SV550 @ SY2764 )
| ( member @ SV159 @ SV427 @ SY2764 ) )
| ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2645]) ).
thf(2767,plain,
! [SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV428: $i,SV487: mworld] :
( ( ( ~ ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) ) )
= $false )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2646]) ).
thf(2768,plain,
! [SV161: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV428: $i,SV487: mworld] :
( ( ( ~ ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) )
= $false )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2646]) ).
thf(2769,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV487: mworld] :
( ( ( ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) ) )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2647]) ).
thf(2770,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV310: $i,SV428: $i,SV487: mworld] :
( ( ( ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2648]) ).
thf(2771,plain,
! [SV428: $i,SV161: $i,SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) ) )
= $false )
| ( ( ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2649]) ).
thf(2772,plain,
! [SV488: mworld,SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV428: $i] :
( ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2649]) ).
thf(2773,plain,
! [SV429: mworld,SV314: mworld,SV165: mworld,SV3: mworld,SV245: $i,SV466: $i,SV86: $i,SV374: $i,SV634: mworld,SV492: mworld] :
( ( ( ~ ( mrel @ SV492 @ SV634 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SV634 )
= $true )
| ( ( mrel @ SV492 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) )
= $true )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2650]) ).
thf(2774,plain,
! [SV429: mworld,SV314: mworld,SV165: mworld,SV3: mworld,SV245: $i,SV466: $i,SV86: $i,SV374: $i,SV622: mworld,SV492: mworld] :
( ( ( mrel @ SV492 @ SV622 )
= $false )
| ( ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SV622 )
= $true )
| ( ( qmltpeq @ SV86 @ SV245 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) )
= $false )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2651]) ).
thf(2775,plain,
! [SV166: mworld,SV4: mworld,SV375: mworld,SV246: $i,SV87: $i,SV597: mworld] :
( ( ( ! [SY2777: mworld] :
( ~ ( mrel @ SV597 @ SY2777 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2777 ) ) )
= $false )
| ( ( mrel @ SV375 @ SV597 )
= $false )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2653]) ).
thf(2776,plain,
! [SV87: $i,SV246: $i,SV375: mworld,SV4: mworld,SV166: mworld,SV572: mworld] :
( ( ( ~ ( mrel @ SV572 @ ( sK131_SY2769 @ SV166 @ SV4 @ SV375 @ SV246 @ SV87 @ SV572 ) )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ ( sK131_SY2769 @ SV166 @ SV4 @ SV375 @ SV246 @ SV87 @ SV572 ) ) )
= $false )
| ( ( mrel @ SV375 @ SV572 )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2654]) ).
thf(2777,plain,
! [SV87: $i,SV246: $i,SV4: mworld,SV166: mworld,SV376: mworld] :
( ( ( mrel @ SV376 @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2655]) ).
thf(2778,plain,
! [SV376: mworld,SV87: $i,SV246: $i,SV4: mworld,SV166: mworld] :
( ( ( ! [SY2791: mworld] :
( ~ ( mrel @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SY2791 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SY2791 ) ) )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2656]) ).
thf(2779,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV650: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ SV650 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SV650 ) )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( mrel @ SV376 @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2657]) ).
thf(2780,plain,
! [SV651: mworld,SV376: mworld,SV87: $i,SV246: $i,SV4: mworld,SV166: mworld] :
( ( ( ~ ( mrel @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV651 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV651 ) )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2658]) ).
thf(2781,plain,
! [SV431: mworld,SV316: mworld,SV168: mworld,SV6: mworld,SV248: $i,SV467: $i,SV378: $i,SV89: $i,SV635: mworld,SV493: mworld] :
( ( ( ~ ( mrel @ SV493 @ SV635 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SV635 )
= $true )
| ( ( mrel @ SV493 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) )
= $true )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2659]) ).
thf(2782,plain,
! [SV431: mworld,SV316: mworld,SV168: mworld,SV6: mworld,SV248: $i,SV467: $i,SV378: $i,SV89: $i,SV623: mworld,SV493: mworld] :
( ( ( mrel @ SV493 @ SV623 )
= $false )
| ( ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SV623 )
= $true )
| ( ( qmltpeq @ SV89 @ SV248 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) )
= $false )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2660]) ).
thf(2783,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV652: mworld,SV380: mworld] :
( ( ( ~ ( mrel @ SV380 @ SV652 )
| ( member @ SV91 @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV652 ) )
= $true )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2661]) ).
thf(2784,plain,
! [SV91: $i,SV250: $i,SV8: mworld,SV170: mworld,SV653: mworld,SV380: mworld] :
( ( ( ~ ( mrel @ SV380 @ SV653 )
| ( member @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SV653 ) )
= $true )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2662]) ).
thf(2785,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV636: mworld,SV380: mworld] :
( ( ( ~ ( mrel @ SV380 @ SV636 ) )
= $true )
| ( ( member @ SV91 @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV636 )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2663]) ).
thf(2786,plain,
! [SV91: $i,SV250: $i,SV8: mworld,SV170: mworld,SV637: mworld,SV380: mworld] :
( ( ( ~ ( mrel @ SV380 @ SV637 ) )
= $true )
| ( ( member @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SV637 )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2664]) ).
thf(2787,plain,
! [SV91: $i,SV170: mworld,SV8: mworld,SV250: $i,SV508: $i,SV381: mworld] :
( ( ( ! [SY2714: mworld] :
( ~ ( mrel @ SV381 @ SY2714 )
| ( member @ SV508 @ SV250 @ SY2714 ) ) )
= $false )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2665]) ).
thf(2788,plain,
! [SV508: $i,SV250: $i,SV91: $i,SV8: mworld,SV170: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) )
| ( member @ SV508 @ SV250 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) ) )
= $false )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2666]) ).
thf(2789,plain,
! [SV177: mworld,SV15: mworld,SV98: $i,SV256: $i,SV624: mworld,SV323: mworld] :
( ( ( mrel @ SV323 @ SV624 )
= $false )
| ( ( member @ ( image @ SV256 @ SV98 ) @ universal_class @ SV624 )
= $true )
| ( ( mrel @ SV323 @ ( sK31_SY2076 @ SV15 @ SV177 @ SV256 @ SV98 @ SV323 ) )
= $true )
| ( ( mrel @ SV323 @ ( sK81_SY2077 @ SV98 @ SV177 @ SV15 @ SV256 @ SV323 ) )
= $true )
| ( ( mrel @ SV177 @ SV323 )
= $false )
| ( ( mrel @ SV15 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2667]) ).
thf(2790,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV638: mworld,SV471: mworld] :
( ( ( ~ ( mrel @ SV471 @ SV638 ) )
= $true )
| ( ( member @ SV384 @ SV103 @ SV638 )
= $true )
| ( ( ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV471 @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2670]) ).
thf(2791,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV625: mworld,SV471: mworld] :
( ( ( mrel @ SV471 @ SV625 )
= $false )
| ( ( member @ SV384 @ SV103 @ SV625 )
= $true )
| ( ( ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $false )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2671]) ).
thf(2792,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV639: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ SV639 ) )
= $true )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV639 )
= $true )
| ( ( mrel @ SV472 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2672]) ).
thf(2793,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV626: mworld,SV472: mworld] :
( ( ( mrel @ SV472 @ SV626 )
= $false )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV626 )
= $true )
| ( ( member @ SV384 @ SV103 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) )
= $false )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2673]) ).
thf(2794,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV640: mworld,SV472: mworld] :
( ( ( ~ ( mrel @ SV472 @ SV640 ) )
= $true )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV640 )
= $true )
| ( ( mrel @ SV472 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2674]) ).
thf(2795,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV627: mworld,SV472: mworld] :
( ( ( mrel @ SV472 @ SV627 )
= $false )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV627 )
= $true )
| ( ( member @ SV384 @ SV259 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) )
= $false )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2675]) ).
thf(2796,plain,
! [SV435: mworld,SV327: mworld,SV183: mworld,SV21: mworld,SV260: $i,SV104: $i,SV473: $i,SV385: $i,SV641: mworld,SV497: mworld] :
( ( ( ~ ( mrel @ SV497 @ SV641 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SV641 )
= $true )
| ( ( mrel @ SV497 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) )
= $true )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2676]) ).
thf(2797,plain,
! [SV435: mworld,SV327: mworld,SV183: mworld,SV21: mworld,SV260: $i,SV104: $i,SV473: $i,SV385: $i,SV628: mworld,SV497: mworld] :
( ( ( mrel @ SV497 @ SV628 )
= $false )
| ( ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SV628 )
= $true )
| ( ( qmltpeq @ SV104 @ SV260 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) )
= $false )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2677]) ).
thf(2798,plain,
! [SV106: $i,SV261: $i,SV23: mworld,SV185: mworld,SV387: mworld] :
( ( ( mrel @ SV387 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( ! [SY2343: mworld] :
( ~ ( mrel @ SV387 @ SY2343 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SY2343 ) ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2680]) ).
thf(2799,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV654: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ SV654 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SV654 ) )
= $true )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( subclass @ SV106 @ SV261 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2681]) ).
thf(2800,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV655: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ SV655 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SV655 ) )
= $true )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( mrel @ SV387 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2682]) ).
thf(2801,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV642: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ SV642 ) )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ SV642 )
= $true )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( subclass @ SV106 @ SV261 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2683]) ).
thf(2802,plain,
! [SV108: $i,SV389: $i,SV25: mworld,SV187: mworld,SV329: mworld,SV263: $i,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) ) )
= $false )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2684]) ).
thf(2803,plain,
! [SV437: mworld,SV25: mworld,SV187: mworld,SV329: mworld,SV263: $i,SV389: $i,SV108: $i] :
( ( ( subclass @ SV108 @ SV389 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) )
= $false )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2684]) ).
thf(2804,plain,
! [SV108: $i,SV389: $i,SV263: $i,SV25: mworld,SV187: mworld,SV329: mworld,SV437: mworld] :
( ( ( mrel @ SV437 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) )
= $true )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2685]) ).
thf(2805,plain,
! [SV329: mworld,SV187: mworld,SV25: mworld,SV108: $i,SV389: $i,SV263: $i,SV656: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ SV656 )
| ( subclass @ SV263 @ SV389 @ SV656 ) )
= $true )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( subclass @ SV108 @ SV389 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) )
= $false )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2686]) ).
thf(2806,plain,
! [SV188: mworld,SV26: mworld,SV390: mworld,SV109: $i,SV264: $i,SV603: mworld] :
( ( ( ! [SY2779: mworld] :
( ~ ( mrel @ SV603 @ SY2779 )
| ( member @ SV264 @ SV109 @ SY2779 ) ) )
= $false )
| ( ( mrel @ SV390 @ SV603 )
= $false )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2688]) ).
thf(2807,plain,
! [SV264: $i,SV109: $i,SV390: mworld,SV26: mworld,SV188: mworld,SV577: mworld] :
( ( ( ~ ( mrel @ SV577 @ ( sK133_SY2770 @ SV188 @ SV26 @ SV390 @ SV109 @ SV264 @ SV577 ) )
| ( member @ SV264 @ SV109 @ ( sK133_SY2770 @ SV188 @ SV26 @ SV390 @ SV109 @ SV264 @ SV577 ) ) )
= $false )
| ( ( mrel @ SV390 @ SV577 )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2689]) ).
thf(2808,plain,
! [SV264: $i,SV109: $i,SV26: mworld,SV188: mworld,SV391: mworld] :
( ( ( mrel @ SV391 @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2690]) ).
thf(2809,plain,
! [SV391: mworld,SV264: $i,SV109: $i,SV26: mworld,SV188: mworld] :
( ( ( ! [SY2792: mworld] :
( ~ ( mrel @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SY2792 )
| ( member @ SV264 @ SV109 @ SY2792 ) ) )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2691]) ).
thf(2810,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV657: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ SV657 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SV657 ) )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( mrel @ SV391 @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2692]) ).
thf(2811,plain,
! [SV658: mworld,SV391: mworld,SV264: $i,SV109: $i,SV26: mworld,SV188: mworld] :
( ( ( ~ ( mrel @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV658 )
| ( member @ SV264 @ SV109 @ SV658 ) )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2693]) ).
thf(2812,plain,
! [SV269: $i,SV394: $i,SV32: mworld,SV193: mworld,SV334: mworld,SV114: $i,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) ) )
= $false )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2694]) ).
thf(2813,plain,
! [SV440: mworld,SV32: mworld,SV193: mworld,SV334: mworld,SV114: $i,SV394: $i,SV269: $i] :
( ( ( qmltpeq @ SV269 @ SV394 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) )
= $false )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2694]) ).
thf(2814,plain,
! [SV269: $i,SV394: $i,SV114: $i,SV32: mworld,SV193: mworld,SV334: mworld,SV440: mworld] :
( ( ( mrel @ SV440 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) )
= $true )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2695]) ).
thf(2815,plain,
! [SV334: mworld,SV193: mworld,SV32: mworld,SV269: $i,SV394: $i,SV114: $i,SV659: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ SV659 )
| ( qmltpeq @ SV114 @ SV394 @ SV659 ) )
= $true )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( qmltpeq @ SV269 @ SV394 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) )
= $false )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2696]) ).
thf(2816,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV270: $i,SV115: $i,SV604: $i,SV629: mworld,SV527: mworld] :
( ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( ~ ! [SY2793: mworld] :
( ~ ( mrel @ SV629 @ SY2793 )
| ( member @ SV604 @ SV115 @ SY2793 ) )
| ! [SY2794: mworld] :
( ~ ( mrel @ SV629 @ SY2794 )
| ( member @ SV604 @ SV270 @ SY2794 ) ) )
= $true )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2697]) ).
thf(2817,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV513: mworld,SV270: $i,SV115: $i,SV578: $i,SV605: mworld] :
( ( ( ~ ! [SY2784: mworld] :
( ~ ( mrel @ SV605 @ SY2784 )
| ( member @ SV578 @ SV115 @ SY2784 ) ) )
= $true )
| ( ( ! [SY2785: mworld] :
( ~ ( mrel @ SV605 @ SY2785 )
| ( member @ SV578 @ SV270 @ SY2785 ) ) )
= $true )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2698]) ).
thf(2818,plain,
! [SV630: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV396: mworld] :
( ( ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV630 )
= $false )
| ( ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SV630 )
= $true )
| ( ( ! [SY2380: mworld] :
( ~ ( mrel @ SV396 @ SY2380 )
| ( subclass @ SV115 @ SV270 @ SY2380 ) ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2700]) ).
thf(2819,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV660: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ SV660 )
| ( subclass @ SV115 @ SV270 @ SV660 ) )
= $true )
| ( ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2701]) ).
thf(2820,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV643: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ SV643 ) )
= $true )
| ( ( subclass @ SV115 @ SV270 @ SV643 )
= $true )
| ( ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV270 @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $false )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2702]) ).
thf(2821,plain,
! [SV116: $i,SV195: mworld,SV34: mworld,SV271: $i,SV631: mworld,SV335: mworld] :
( ( ( mrel @ SV335 @ SV631 )
= $false )
| ( ( function @ SV271 @ SV631 )
= $true )
| ( ( mrel @ SV335 @ ( sK36_SY2120 @ SV34 @ SV195 @ SV271 @ SV116 @ SV335 ) )
= $true )
| ( ( mrel @ SV335 @ ( sK85_SY2121 @ SV271 @ SV195 @ SV34 @ SV116 @ SV335 ) )
= $true )
| ( ( mrel @ SV195 @ SV335 )
= $false )
| ( ( mrel @ SV34 @ SV195 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2703]) ).
thf(2822,plain,
! [SV400: $i,SV121: $i,SV39: mworld,SV200: mworld,SV339: mworld,SV275: $i,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) ) )
= $false )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2706]) ).
thf(2823,plain,
! [SV444: mworld,SV39: mworld,SV200: mworld,SV339: mworld,SV275: $i,SV121: $i,SV400: $i] :
( ( ( subclass @ SV400 @ SV121 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) )
= $false )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2706]) ).
thf(2824,plain,
! [SV400: $i,SV121: $i,SV275: $i,SV39: mworld,SV200: mworld,SV339: mworld,SV444: mworld] :
( ( ( mrel @ SV444 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) )
= $true )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2707]) ).
thf(2825,plain,
! [SV339: mworld,SV200: mworld,SV39: mworld,SV121: $i,SV275: $i,SV400: $i,SV661: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ SV661 )
| ( subclass @ SV400 @ SV275 @ SV661 ) )
= $true )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( subclass @ SV400 @ SV121 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) )
= $false )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2708]) ).
thf(2826,plain,
! [SV124: $i,SV403: $i,SV42: mworld,SV203: mworld,SV342: mworld,SV278: $i,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) ) )
= $false )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2709]) ).
thf(2827,plain,
! [SV447: mworld,SV42: mworld,SV203: mworld,SV342: mworld,SV278: $i,SV403: $i,SV124: $i] :
( ( ( member @ SV124 @ SV403 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) )
= $false )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2709]) ).
thf(2828,plain,
! [SV124: $i,SV403: $i,SV278: $i,SV42: mworld,SV203: mworld,SV342: mworld,SV447: mworld] :
( ( ( mrel @ SV447 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) )
= $true )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2710]) ).
thf(2829,plain,
! [SV342: mworld,SV203: mworld,SV42: mworld,SV124: $i,SV403: $i,SV278: $i,SV662: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ SV662 )
| ( member @ SV278 @ SV403 @ SV662 ) )
= $true )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( member @ SV124 @ SV403 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) )
= $false )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2711]) ).
thf(2830,plain,
! [SV127: $i,SV206: mworld,SV45: mworld,SV280: $i,SV632: mworld,SV344: mworld] :
( ( ( mrel @ SV344 @ SV632 )
= $false )
| ( ( inductive @ SV280 @ SV632 )
= $true )
| ( ( mrel @ SV344 @ ( sK37_SY2155 @ SV45 @ SV206 @ SV280 @ SV127 @ SV344 ) )
= $true )
| ( ( mrel @ SV344 @ ( sK88_SY2156 @ SV280 @ SV206 @ SV45 @ SV127 @ SV344 ) )
= $true )
| ( ( mrel @ SV206 @ SV344 )
= $false )
| ( ( mrel @ SV45 @ SV206 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2712]) ).
thf(2831,plain,
! [SV128: $i,SV406: $i,SV46: mworld,SV207: mworld,SV345: mworld,SV281: $i,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) ) )
= $false )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2715]) ).
thf(2832,plain,
! [SV450: mworld,SV46: mworld,SV207: mworld,SV345: mworld,SV281: $i,SV406: $i,SV128: $i] :
( ( ( disjoint @ SV128 @ SV406 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) )
= $false )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2715]) ).
thf(2833,plain,
! [SV128: $i,SV406: $i,SV281: $i,SV46: mworld,SV207: mworld,SV345: mworld,SV450: mworld] :
( ( ( mrel @ SV450 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) )
= $true )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2716]) ).
thf(2834,plain,
! [SV345: mworld,SV207: mworld,SV46: mworld,SV128: $i,SV406: $i,SV281: $i,SV663: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ SV663 )
| ( disjoint @ SV281 @ SV406 @ SV663 ) )
= $true )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( disjoint @ SV128 @ SV406 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) )
= $false )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2717]) ).
thf(2835,plain,
! [SV282: $i,SV130: $i,SV48: mworld,SV209: mworld,SV408: mworld] :
( ( ( mrel @ SV408 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $true )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( ! [SY2413: mworld] :
( ~ ( mrel @ SV408 @ SY2413 )
| ( qmltpeq @ SV130 @ SV282 @ SY2413 ) ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2721]) ).
thf(2836,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV664: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ SV664 )
| ( qmltpeq @ SV130 @ SV282 @ SV664 ) )
= $true )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( subclass @ SV282 @ SV130 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $false )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2722]) ).
thf(2837,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV665: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ SV665 )
| ( qmltpeq @ SV130 @ SV282 @ SV665 ) )
= $true )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( mrel @ SV408 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2723]) ).
thf(2838,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV644: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ SV644 ) )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ SV644 )
= $true )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( subclass @ SV282 @ SV130 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $false )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2724]) ).
thf(2839,plain,
! [SV409: $i,SV136: $i,SV54: mworld,SV215: mworld,SV349: mworld,SV286: $i,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) ) )
= $false )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2725]) ).
thf(2840,plain,
! [SV452: mworld,SV54: mworld,SV215: mworld,SV349: mworld,SV286: $i,SV136: $i,SV409: $i] :
( ( ( disjoint @ SV409 @ SV136 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) )
= $false )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2725]) ).
thf(2841,plain,
! [SV409: $i,SV136: $i,SV286: $i,SV54: mworld,SV215: mworld,SV349: mworld,SV452: mworld] :
( ( ( mrel @ SV452 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) )
= $true )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2726]) ).
thf(2842,plain,
! [SV349: mworld,SV215: mworld,SV54: mworld,SV136: $i,SV286: $i,SV409: $i,SV666: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ SV666 )
| ( disjoint @ SV409 @ SV286 @ SV666 ) )
= $true )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( disjoint @ SV409 @ SV136 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) )
= $false )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2727]) ).
thf(2843,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV289: $i,SV138: $i,SV615: $i,SV633: mworld,SV535: mworld] :
( ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2795: mworld] :
( ~ ( mrel @ SV633 @ SY2795 )
| ( member @ SV615 @ SV138 @ SY2795 ) )
| ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) ) )
= $true )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2729]) ).
thf(2844,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV289: $i,SV138: $i,SV587: $i,SV616: mworld] :
( ( ( ~ ( ~ ! [SY2789: mworld] :
( ~ ( mrel @ SV616 @ SY2789 )
| ( member @ SV587 @ SV138 @ SY2789 ) )
| ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) ) )
= $false )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2730]) ).
thf(2845,plain,
! [SV667: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV667 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SV667 ) )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2732]) ).
thf(2846,plain,
! [SV668: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV668 )
| ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SV668 ) )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2733]) ).
thf(2847,plain,
! [SV139: $i,SV217: mworld,SV57: mworld,SV290: $i,SV669: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV669 )
| ( member @ SV290 @ universal_class @ SV669 ) )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2735]) ).
thf(2848,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV670: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV670 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SV670 ) )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2736]) ).
thf(2849,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV645: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV645 ) )
= $true )
| ( ( member @ SV290 @ universal_class @ SV645 )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2737]) ).
thf(2850,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV646: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV646 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SV646 )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2738]) ).
thf(2851,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV413: mworld] :
( ( ( ! [SY2435: mworld] :
( ~ ( mrel @ SV413 @ SY2435 )
| ( member @ SV290 @ universal_class @ SY2435 ) ) )
= $false )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(2852,plain,
! [SV290: $i,SV139: $i,SV57: mworld,SV217: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
| ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) ) )
= $false )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2740]) ).
thf(2853,plain,
! [SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV140: $i,SV479: mworld] :
( ( ( ! [SY2651: mworld] :
( ~ ( mrel @ SV479 @ SY2651 )
| ( member @ SV140 @ universal_class @ SY2651 ) ) )
= $true )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2741]) ).
thf(2854,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) )
= $true )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2742]) ).
thf(2855,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV671: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV671 )
| ( member @ SV140 @ universal_class @ SV671 ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2743]) ).
thf(2856,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) ) )
= $true )
| ( ( ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2744]) ).
thf(2857,plain,
! [SV140: $i,SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV480: mworld] :
( ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ~ ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2745]) ).
thf(2858,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV480: mworld] :
( ( ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) )
= $false )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2746]) ).
thf(2859,plain,
! [SV295: $i,SV416: $i,SV481: $i,SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV538: mworld] :
( ( ( ~ ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2748]) ).
thf(2860,plain,
! [SV538: mworld,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i] :
( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( ~ ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2748]) ).
thf(2861,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV539: mworld] :
( ( ( ~ ! [SY2746: mworld] :
( ~ ( mrel @ SV539 @ SY2746 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2746 ) ) )
= $true )
| ( ( ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2749]) ).
thf(2862,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV647: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV647 ) )
= $true )
| ( ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SV647 )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2750]) ).
thf(2863,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV648: mworld,SV222: mworld] :
( ( ( ~ ( mrel @ SV222 @ SV648 ) )
= $true )
| ( ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SV648 )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2751]) ).
thf(2864,plain,
! [SV146: $i,SV297: $i,SV65: mworld,SV223: mworld,SV418: mworld] :
( ( ( mrel @ SV418 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $true )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( ! [SY2466: mworld] :
( ~ ( mrel @ SV418 @ SY2466 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SY2466 ) ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2754]) ).
thf(2865,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV672: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ SV672 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV672 ) )
= $true )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( member @ SV146 @ SV297 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $false )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2755]) ).
thf(2866,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV673: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ SV673 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV673 ) )
= $true )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( mrel @ SV418 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2756]) ).
thf(2867,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV649: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ SV649 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV649 )
= $true )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( member @ SV146 @ SV297 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $false )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2757]) ).
thf(2868,plain,
! [SV423: $i,SV152: $i,SV71: mworld,SV229: mworld,SV358: mworld,SV302: $i,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) ) )
= $false )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2758]) ).
thf(2869,plain,
! [SV460: mworld,SV71: mworld,SV229: mworld,SV358: mworld,SV302: $i,SV152: $i,SV423: $i] :
( ( ( member @ SV423 @ SV152 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) )
= $false )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2758]) ).
thf(2870,plain,
! [SV423: $i,SV152: $i,SV302: $i,SV71: mworld,SV229: mworld,SV358: mworld,SV460: mworld] :
( ( ( mrel @ SV460 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) )
= $true )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2759]) ).
thf(2871,plain,
! [SV358: mworld,SV229: mworld,SV71: mworld,SV152: $i,SV302: $i,SV423: $i,SV674: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ SV674 )
| ( member @ SV423 @ SV302 @ SV674 ) )
= $true )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( member @ SV423 @ SV152 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) )
= $false )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2760]) ).
thf(2872,plain,
! [SV157: $i,SV306: $i,SV425: $i,SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV545: mworld] :
( ( ( ~ ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2761]) ).
thf(2873,plain,
! [SV545: mworld,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i] :
( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2761]) ).
thf(2874,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV546: mworld] :
( ( ( ~ ! [SY2752: mworld] :
( ~ ( mrel @ SV546 @ SY2752 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2752 ) ) )
= $true )
| ( ( ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2762]) ).
thf(2875,plain,
! [SV426: $i,SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV547: mworld] :
( ( ( ~ ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2763]) ).
thf(2876,plain,
! [SV547: mworld,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i] :
( ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( ~ ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2763]) ).
thf(2877,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV548: mworld] :
( ( ( ~ ! [SY2758: mworld] :
( ~ ( mrel @ SV548 @ SY2758 )
| ( member @ SV426 @ universal_class @ SY2758 ) ) )
= $true )
| ( ( ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2764]) ).
thf(2878,plain,
! [SV159: $i,SV308: $i,SV427: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV549: mworld] :
( ( ( ~ ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2765]) ).
thf(2879,plain,
! [SV549: mworld,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i] :
( ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( ~ ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2765]) ).
thf(2880,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV550: mworld] :
( ( ( ~ ! [SY2764: mworld] :
( ~ ( mrel @ SV550 @ SY2764 )
| ( member @ SV159 @ SV427 @ SY2764 ) ) )
= $true )
| ( ( ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2766]) ).
thf(2881,plain,
! [SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV428: $i,SV487: mworld] :
( ( ( ! [SY2691: mworld] :
( ~ ( mrel @ SV487 @ SY2691 )
| ( member @ SV428 @ SV161 @ SY2691 ) ) )
= $true )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2767]) ).
thf(2882,plain,
! [SV161: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV428: $i,SV487: mworld] :
( ( ( ! [SY2692: mworld] :
( ~ ( mrel @ SV487 @ SY2692 )
| ( member @ SV428 @ SV310 @ SY2692 ) ) )
= $true )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2768]) ).
thf(2883,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV675: mworld,SV487: mworld] :
( ( ( ~ ( mrel @ SV487 @ SV675 )
| ( member @ SV428 @ SV161 @ SV675 ) )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2769]) ).
thf(2884,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV310: $i,SV428: $i,SV676: mworld,SV487: mworld] :
( ( ( ~ ( mrel @ SV487 @ SV676 )
| ( member @ SV428 @ SV310 @ SV676 ) )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2770]) ).
thf(2885,plain,
! [SV428: $i,SV161: $i,SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV488: mworld] :
( ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( ~ ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2771]) ).
thf(2886,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV310: $i,SV428: $i,SV488: mworld] :
( ( ( ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
= $false )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2772]) ).
thf(2887,plain,
! [SV429: mworld,SV314: mworld,SV165: mworld,SV3: mworld,SV245: $i,SV466: $i,SV86: $i,SV374: $i,SV634: mworld,SV492: mworld] :
( ( ( mrel @ SV492 @ SV634 )
= $false )
| ( ( qmltpeq @ ( restrict @ SV374 @ SV86 @ SV466 ) @ ( restrict @ SV374 @ SV245 @ SV466 ) @ SV634 )
= $true )
| ( ( mrel @ SV492 @ ( sK94_SY2696 @ SV3 @ SV165 @ SV314 @ SV429 @ SV466 @ SV374 @ SV245 @ SV86 @ SV492 ) )
= $true )
| ( ( mrel @ SV429 @ SV492 )
= $false )
| ( ( mrel @ SV314 @ SV429 )
= $false )
| ( ( mrel @ SV165 @ SV314 )
= $false )
| ( ( mrel @ SV3 @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2773]) ).
thf(2888,plain,
! [SV87: $i,SV246: $i,SV375: mworld,SV4: mworld,SV166: mworld,SV597: mworld] :
( ( ( ~ ( mrel @ SV597 @ ( sK135_SY2777 @ SV166 @ SV4 @ SV375 @ SV246 @ SV87 @ SV597 ) )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ ( sK135_SY2777 @ SV166 @ SV4 @ SV375 @ SV246 @ SV87 @ SV597 ) ) )
= $false )
| ( ( mrel @ SV375 @ SV597 )
= $false )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2775]) ).
thf(2889,plain,
! [SV87: $i,SV246: $i,SV375: mworld,SV4: mworld,SV166: mworld,SV572: mworld] :
( ( ( ~ ( mrel @ SV572 @ ( sK131_SY2769 @ SV166 @ SV4 @ SV375 @ SV246 @ SV87 @ SV572 ) ) )
= $false )
| ( ( mrel @ SV375 @ SV572 )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2776]) ).
thf(2890,plain,
! [SV572: mworld,SV375: mworld,SV4: mworld,SV166: mworld,SV246: $i,SV87: $i] :
( ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ ( sK131_SY2769 @ SV166 @ SV4 @ SV375 @ SV246 @ SV87 @ SV572 ) )
= $false )
| ( ( mrel @ SV375 @ SV572 )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2776]) ).
thf(2891,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV677: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ SV677 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SV677 ) )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( mrel @ SV376 @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2777]) ).
thf(2892,plain,
! [SV678: mworld,SV376: mworld,SV87: $i,SV246: $i,SV4: mworld,SV166: mworld] :
( ( ( ~ ( mrel @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV678 )
| ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV678 ) )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2778]) ).
thf(2893,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV650: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ SV650 ) )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ SV650 )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( mrel @ SV376 @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2779]) ).
thf(2894,plain,
! [SV651: mworld,SV376: mworld,SV87: $i,SV246: $i,SV4: mworld,SV166: mworld] :
( ( ( ~ ( mrel @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV651 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV651 )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2780]) ).
thf(2895,plain,
! [SV431: mworld,SV316: mworld,SV168: mworld,SV6: mworld,SV248: $i,SV467: $i,SV378: $i,SV89: $i,SV635: mworld,SV493: mworld] :
( ( ( mrel @ SV493 @ SV635 )
= $false )
| ( ( qmltpeq @ ( restrict @ SV89 @ SV378 @ SV467 ) @ ( restrict @ SV248 @ SV378 @ SV467 ) @ SV635 )
= $true )
| ( ( mrel @ SV493 @ ( sK95_SY2698 @ SV6 @ SV168 @ SV316 @ SV431 @ SV467 @ SV378 @ SV248 @ SV89 @ SV493 ) )
= $true )
| ( ( mrel @ SV431 @ SV493 )
= $false )
| ( ( mrel @ SV316 @ SV431 )
= $false )
| ( ( mrel @ SV168 @ SV316 )
= $false )
| ( ( mrel @ SV6 @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2781]) ).
thf(2896,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV652: mworld,SV380: mworld] :
( ( ( ~ ( mrel @ SV380 @ SV652 ) )
= $true )
| ( ( member @ SV91 @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV652 )
= $true )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2783]) ).
thf(2897,plain,
! [SV91: $i,SV250: $i,SV8: mworld,SV170: mworld,SV653: mworld,SV380: mworld] :
( ( ( ~ ( mrel @ SV380 @ SV653 ) )
= $true )
| ( ( member @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SV653 )
= $true )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2784]) ).
thf(2898,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV636: mworld,SV380: mworld] :
( ( ( mrel @ SV380 @ SV636 )
= $false )
| ( ( member @ SV91 @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV636 )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2785]) ).
thf(2899,plain,
! [SV91: $i,SV250: $i,SV8: mworld,SV170: mworld,SV637: mworld,SV380: mworld] :
( ( ( mrel @ SV380 @ SV637 )
= $false )
| ( ( member @ ( sK67_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SV637 )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $false )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2786]) ).
thf(2900,plain,
! [SV508: $i,SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) )
| ( member @ SV508 @ SV250 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) ) )
= $false )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2787]) ).
thf(2901,plain,
! [SV508: $i,SV250: $i,SV91: $i,SV8: mworld,SV170: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) ) )
= $false )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2788]) ).
thf(2902,plain,
! [SV381: mworld,SV91: $i,SV8: mworld,SV170: mworld,SV250: $i,SV508: $i] :
( ( ( member @ SV508 @ SV250 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) )
= $false )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2788]) ).
thf(2903,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV638: mworld,SV471: mworld] :
( ( ( mrel @ SV471 @ SV638 )
= $false )
| ( ( member @ SV384 @ SV103 @ SV638 )
= $true )
| ( ( ! [SY2643: mworld] :
( ~ ( mrel @ SV471 @ SY2643 )
| ( member @ SV384 @ SV259 @ SY2643 ) ) )
= $true )
| ( ( mrel @ SV471 @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2790]) ).
thf(2904,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV625: mworld,SV103: $i,SV259: $i,SV384: $i,SV679: mworld,SV471: mworld] :
( ( ( ~ ( mrel @ SV471 @ SV679 )
| ( member @ SV384 @ SV259 @ SV679 ) )
= $true )
| ( ( member @ SV384 @ SV103 @ SV625 )
= $true )
| ( ( mrel @ SV471 @ SV625 )
= $false )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $false )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2791]) ).
thf(2905,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV639: mworld,SV472: mworld] :
( ( ( mrel @ SV472 @ SV639 )
= $false )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV639 )
= $true )
| ( ( mrel @ SV472 @ ( sK96_SY2644 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV472 ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2792]) ).
thf(2906,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV259: $i,SV103: $i,SV384: $i,SV640: mworld,SV472: mworld] :
( ( ( mrel @ SV472 @ SV640 )
= $false )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ SV640 )
= $true )
| ( ( mrel @ SV472 @ ( sK97_SY2645 @ SV20 @ SV182 @ SV326 @ SV103 @ SV259 @ SV384 @ SV472 ) )
= $true )
| ( ( mrel @ SV326 @ SV472 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2794]) ).
thf(2907,plain,
! [SV435: mworld,SV327: mworld,SV183: mworld,SV21: mworld,SV260: $i,SV104: $i,SV473: $i,SV385: $i,SV641: mworld,SV497: mworld] :
( ( ( mrel @ SV497 @ SV641 )
= $false )
| ( ( qmltpeq @ ( restrict @ SV385 @ SV473 @ SV104 ) @ ( restrict @ SV385 @ SV473 @ SV260 ) @ SV641 )
= $true )
| ( ( mrel @ SV497 @ ( sK98_SY2700 @ SV21 @ SV183 @ SV327 @ SV435 @ SV473 @ SV385 @ SV260 @ SV104 @ SV497 ) )
= $true )
| ( ( mrel @ SV435 @ SV497 )
= $false )
| ( ( mrel @ SV327 @ SV435 )
= $false )
| ( ( mrel @ SV183 @ SV327 )
= $false )
| ( ( mrel @ SV21 @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2796]) ).
thf(2908,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV680: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ SV680 )
| ( member @ SV106 @ ( power_class @ SV261 ) @ SV680 ) )
= $true )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( mrel @ SV387 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2798]) ).
thf(2909,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV654: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ SV654 ) )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ SV654 )
= $true )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( subclass @ SV106 @ SV261 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2799]) ).
thf(2910,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV655: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ SV655 ) )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ SV655 )
= $true )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( mrel @ SV387 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2800]) ).
thf(2911,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV642: mworld,SV387: mworld] :
( ( ( mrel @ SV387 @ SV642 )
= $false )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ SV642 )
= $true )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( subclass @ SV106 @ SV261 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2801]) ).
thf(2912,plain,
! [SV108: $i,SV389: $i,SV25: mworld,SV187: mworld,SV329: mworld,SV263: $i,SV437: mworld] :
( ( ( mrel @ SV437 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) )
= $true )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( ! [SY2546: mworld] :
( ~ ( mrel @ SV437 @ SY2546 )
| ( subclass @ SV263 @ SV389 @ SY2546 ) ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2802]) ).
thf(2913,plain,
! [SV108: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV389: $i,SV263: $i,SV681: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ SV681 )
| ( subclass @ SV263 @ SV389 @ SV681 ) )
= $true )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( subclass @ SV108 @ SV389 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) )
= $false )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2803]) ).
thf(2914,plain,
! [SV329: mworld,SV187: mworld,SV25: mworld,SV108: $i,SV389: $i,SV263: $i,SV682: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ SV682 )
| ( subclass @ SV263 @ SV389 @ SV682 ) )
= $true )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( mrel @ SV437 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2804]) ).
thf(2915,plain,
! [SV329: mworld,SV187: mworld,SV25: mworld,SV108: $i,SV389: $i,SV263: $i,SV656: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ SV656 ) )
= $true )
| ( ( subclass @ SV263 @ SV389 @ SV656 )
= $true )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( subclass @ SV108 @ SV389 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) )
= $false )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2805]) ).
thf(2916,plain,
! [SV264: $i,SV109: $i,SV390: mworld,SV26: mworld,SV188: mworld,SV603: mworld] :
( ( ( ~ ( mrel @ SV603 @ ( sK137_SY2779 @ SV188 @ SV26 @ SV390 @ SV109 @ SV264 @ SV603 ) )
| ( member @ SV264 @ SV109 @ ( sK137_SY2779 @ SV188 @ SV26 @ SV390 @ SV109 @ SV264 @ SV603 ) ) )
= $false )
| ( ( mrel @ SV390 @ SV603 )
= $false )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2806]) ).
thf(2917,plain,
! [SV264: $i,SV109: $i,SV390: mworld,SV26: mworld,SV188: mworld,SV577: mworld] :
( ( ( ~ ( mrel @ SV577 @ ( sK133_SY2770 @ SV188 @ SV26 @ SV390 @ SV109 @ SV264 @ SV577 ) ) )
= $false )
| ( ( mrel @ SV390 @ SV577 )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2807]) ).
thf(2918,plain,
! [SV577: mworld,SV390: mworld,SV26: mworld,SV188: mworld,SV109: $i,SV264: $i] :
( ( ( member @ SV264 @ SV109 @ ( sK133_SY2770 @ SV188 @ SV26 @ SV390 @ SV109 @ SV264 @ SV577 ) )
= $false )
| ( ( mrel @ SV390 @ SV577 )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2807]) ).
thf(2919,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV683: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ SV683 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SV683 ) )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( mrel @ SV391 @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2808]) ).
thf(2920,plain,
! [SV684: mworld,SV391: mworld,SV264: $i,SV109: $i,SV26: mworld,SV188: mworld] :
( ( ( ~ ( mrel @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV684 )
| ( member @ SV264 @ SV109 @ SV684 ) )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2809]) ).
thf(2921,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV657: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ SV657 ) )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ SV657 )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( mrel @ SV391 @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2810]) ).
thf(2922,plain,
! [SV658: mworld,SV391: mworld,SV264: $i,SV109: $i,SV26: mworld,SV188: mworld] :
( ( ( ~ ( mrel @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV658 ) )
= $true )
| ( ( member @ SV264 @ SV109 @ SV658 )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2811]) ).
thf(2923,plain,
! [SV269: $i,SV394: $i,SV32: mworld,SV193: mworld,SV334: mworld,SV114: $i,SV440: mworld] :
( ( ( mrel @ SV440 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) )
= $true )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV440 @ SY2553 )
| ( qmltpeq @ SV114 @ SV394 @ SY2553 ) ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2812]) ).
thf(2924,plain,
! [SV269: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV394: $i,SV114: $i,SV685: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ SV685 )
| ( qmltpeq @ SV114 @ SV394 @ SV685 ) )
= $true )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( qmltpeq @ SV269 @ SV394 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) )
= $false )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2813]) ).
thf(2925,plain,
! [SV334: mworld,SV193: mworld,SV32: mworld,SV269: $i,SV394: $i,SV114: $i,SV686: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ SV686 )
| ( qmltpeq @ SV114 @ SV394 @ SV686 ) )
= $true )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( mrel @ SV440 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2814]) ).
thf(2926,plain,
! [SV334: mworld,SV193: mworld,SV32: mworld,SV269: $i,SV394: $i,SV114: $i,SV659: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ SV659 ) )
= $true )
| ( ( qmltpeq @ SV114 @ SV394 @ SV659 )
= $true )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( qmltpeq @ SV269 @ SV394 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) )
= $false )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2815]) ).
thf(2927,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV527: mworld,SV270: $i,SV115: $i,SV604: $i,SV629: mworld] :
( ( ( ~ ! [SY2793: mworld] :
( ~ ( mrel @ SV629 @ SY2793 )
| ( member @ SV604 @ SV115 @ SY2793 ) ) )
= $true )
| ( ( ! [SY2794: mworld] :
( ~ ( mrel @ SV629 @ SY2794 )
| ( member @ SV604 @ SV270 @ SY2794 ) ) )
= $true )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2816]) ).
thf(2928,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV513: mworld,SV270: $i,SV115: $i,SV578: $i,SV605: mworld] :
( ( ( ! [SY2784: mworld] :
( ~ ( mrel @ SV605 @ SY2784 )
| ( member @ SV578 @ SV115 @ SY2784 ) ) )
= $false )
| ( ( ! [SY2785: mworld] :
( ~ ( mrel @ SV605 @ SY2785 )
| ( member @ SV578 @ SV270 @ SY2785 ) ) )
= $true )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2817]) ).
thf(2929,plain,
! [SV630: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV687: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ SV687 )
| ( subclass @ SV115 @ SV270 @ SV687 ) )
= $true )
| ( ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SV630 )
= $true )
| ( ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV630 )
= $false )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2818]) ).
thf(2930,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV660: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ SV660 ) )
= $true )
| ( ( subclass @ SV115 @ SV270 @ SV660 )
= $true )
| ( ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2819]) ).
thf(2931,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV643: mworld,SV396: mworld] :
( ( ( mrel @ SV396 @ SV643 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ SV643 )
= $true )
| ( ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV270 @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $false )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2820]) ).
thf(2932,plain,
! [SV400: $i,SV121: $i,SV39: mworld,SV200: mworld,SV339: mworld,SV275: $i,SV444: mworld] :
( ( ( mrel @ SV444 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) )
= $true )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV444 @ SY2560 )
| ( subclass @ SV400 @ SV275 @ SY2560 ) ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2822]) ).
thf(2933,plain,
! [SV121: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV275: $i,SV400: $i,SV688: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ SV688 )
| ( subclass @ SV400 @ SV275 @ SV688 ) )
= $true )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( subclass @ SV400 @ SV121 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) )
= $false )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2823]) ).
thf(2934,plain,
! [SV339: mworld,SV200: mworld,SV39: mworld,SV121: $i,SV275: $i,SV400: $i,SV689: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ SV689 )
| ( subclass @ SV400 @ SV275 @ SV689 ) )
= $true )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( mrel @ SV444 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2824]) ).
thf(2935,plain,
! [SV339: mworld,SV200: mworld,SV39: mworld,SV121: $i,SV275: $i,SV400: $i,SV661: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ SV661 ) )
= $true )
| ( ( subclass @ SV400 @ SV275 @ SV661 )
= $true )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( subclass @ SV400 @ SV121 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) )
= $false )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(2936,plain,
! [SV124: $i,SV403: $i,SV42: mworld,SV203: mworld,SV342: mworld,SV278: $i,SV447: mworld] :
( ( ( mrel @ SV447 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) )
= $true )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( ! [SY2567: mworld] :
( ~ ( mrel @ SV447 @ SY2567 )
| ( member @ SV278 @ SV403 @ SY2567 ) ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2826]) ).
thf(2937,plain,
! [SV124: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV403: $i,SV278: $i,SV690: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ SV690 )
| ( member @ SV278 @ SV403 @ SV690 ) )
= $true )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( member @ SV124 @ SV403 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) )
= $false )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2827]) ).
thf(2938,plain,
! [SV342: mworld,SV203: mworld,SV42: mworld,SV124: $i,SV403: $i,SV278: $i,SV691: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ SV691 )
| ( member @ SV278 @ SV403 @ SV691 ) )
= $true )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( mrel @ SV447 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2828]) ).
thf(2939,plain,
! [SV342: mworld,SV203: mworld,SV42: mworld,SV124: $i,SV403: $i,SV278: $i,SV662: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ SV662 ) )
= $true )
| ( ( member @ SV278 @ SV403 @ SV662 )
= $true )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( member @ SV124 @ SV403 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) )
= $false )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2829]) ).
thf(2940,plain,
! [SV128: $i,SV406: $i,SV46: mworld,SV207: mworld,SV345: mworld,SV281: $i,SV450: mworld] :
( ( ( mrel @ SV450 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) )
= $true )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( ! [SY2572: mworld] :
( ~ ( mrel @ SV450 @ SY2572 )
| ( disjoint @ SV281 @ SV406 @ SY2572 ) ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2831]) ).
thf(2941,plain,
! [SV128: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV406: $i,SV281: $i,SV692: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ SV692 )
| ( disjoint @ SV281 @ SV406 @ SV692 ) )
= $true )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( disjoint @ SV128 @ SV406 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) )
= $false )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2832]) ).
thf(2942,plain,
! [SV345: mworld,SV207: mworld,SV46: mworld,SV128: $i,SV406: $i,SV281: $i,SV693: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ SV693 )
| ( disjoint @ SV281 @ SV406 @ SV693 ) )
= $true )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( mrel @ SV450 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2833]) ).
thf(2943,plain,
! [SV345: mworld,SV207: mworld,SV46: mworld,SV128: $i,SV406: $i,SV281: $i,SV663: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ SV663 ) )
= $true )
| ( ( disjoint @ SV281 @ SV406 @ SV663 )
= $true )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( disjoint @ SV128 @ SV406 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) )
= $false )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2834]) ).
thf(2944,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV694: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ SV694 )
| ( qmltpeq @ SV130 @ SV282 @ SV694 ) )
= $true )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( mrel @ SV408 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2835]) ).
thf(2945,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV664: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ SV664 ) )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ SV664 )
= $true )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( subclass @ SV282 @ SV130 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $false )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2836]) ).
thf(2946,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV665: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ SV665 ) )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ SV665 )
= $true )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( mrel @ SV408 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2837]) ).
thf(2947,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV644: mworld,SV408: mworld] :
( ( ( mrel @ SV408 @ SV644 )
= $false )
| ( ( qmltpeq @ SV130 @ SV282 @ SV644 )
= $true )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( subclass @ SV282 @ SV130 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $false )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(2948,plain,
! [SV409: $i,SV136: $i,SV54: mworld,SV215: mworld,SV349: mworld,SV286: $i,SV452: mworld] :
( ( ( mrel @ SV452 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) )
= $true )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( ! [SY2578: mworld] :
( ~ ( mrel @ SV452 @ SY2578 )
| ( disjoint @ SV409 @ SV286 @ SY2578 ) ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2839]) ).
thf(2949,plain,
! [SV136: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV286: $i,SV409: $i,SV695: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ SV695 )
| ( disjoint @ SV409 @ SV286 @ SV695 ) )
= $true )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( disjoint @ SV409 @ SV136 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) )
= $false )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2840]) ).
thf(2950,plain,
! [SV349: mworld,SV215: mworld,SV54: mworld,SV136: $i,SV286: $i,SV409: $i,SV696: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ SV696 )
| ( disjoint @ SV409 @ SV286 @ SV696 ) )
= $true )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( mrel @ SV452 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2841]) ).
thf(2951,plain,
! [SV349: mworld,SV215: mworld,SV54: mworld,SV136: $i,SV286: $i,SV409: $i,SV666: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ SV666 ) )
= $true )
| ( ( disjoint @ SV409 @ SV286 @ SV666 )
= $true )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( disjoint @ SV409 @ SV136 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) )
= $false )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2842]) ).
thf(2952,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV289: $i,SV138: $i,SV615: $i,SV633: mworld] :
( ( ( ~ ( ~ ! [SY2795: mworld] :
( ~ ( mrel @ SV633 @ SY2795 )
| ( member @ SV615 @ SV138 @ SY2795 ) )
| ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) ) )
= $false )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2843]) ).
thf(2953,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV289: $i,SV138: $i,SV587: $i,SV616: mworld] :
( ( ( ~ ! [SY2789: mworld] :
( ~ ( mrel @ SV616 @ SY2789 )
| ( member @ SV587 @ SV138 @ SY2789 ) )
| ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2844]) ).
thf(2954,plain,
! [SV667: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV667 ) )
= $true )
| ( ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SV667 )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2845]) ).
thf(2955,plain,
! [SV668: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( ~ ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV668 ) )
= $true )
| ( ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SV668 )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2846]) ).
thf(2956,plain,
! [SV139: $i,SV217: mworld,SV57: mworld,SV290: $i,SV669: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV669 ) )
= $true )
| ( ( member @ SV290 @ universal_class @ SV669 )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2847]) ).
thf(2957,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV670: mworld,SV412: mworld] :
( ( ( ~ ( mrel @ SV412 @ SV670 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SV670 )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2848]) ).
thf(2958,plain,
! [SV217: mworld,SV57: mworld,SV139: $i,SV290: $i,SV645: mworld,SV412: mworld] :
( ( ( mrel @ SV412 @ SV645 )
= $false )
| ( ( member @ SV290 @ universal_class @ SV645 )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2849]) ).
thf(2959,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV646: mworld,SV412: mworld] :
( ( ( mrel @ SV412 @ SV646 )
= $false )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SV646 )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $false )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2850]) ).
thf(2960,plain,
! [SV290: $i,SV139: $i,SV57: mworld,SV217: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
| ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) ) )
= $false )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2851]) ).
thf(2961,plain,
! [SV290: $i,SV139: $i,SV57: mworld,SV217: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) ) )
= $false )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2852]) ).
thf(2962,plain,
! [SV413: mworld,SV139: $i,SV57: mworld,SV217: mworld,SV290: $i] :
( ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2852]) ).
thf(2963,plain,
! [SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV140: $i,SV697: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV697 )
| ( member @ SV140 @ universal_class @ SV697 ) )
= $true )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2853]) ).
thf(2964,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV479: mworld] :
( ( ( ! [SY2652: mworld] :
( ~ ( mrel @ SV479 @ SY2652 )
| ( qmltpeq @ SV140 @ SV291 @ SY2652 ) ) )
= $true )
| ( ( ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) )
= $true )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2854]) ).
thf(2965,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV671: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV671 ) )
= $true )
| ( ( member @ SV140 @ universal_class @ SV671 )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2855]) ).
thf(2966,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV698: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV698 )
| ( qmltpeq @ SV140 @ SV291 @ SV698 ) )
= $true )
| ( ( ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2856]) ).
thf(2967,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV480: mworld] :
( ( ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) )
= $false )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2857]) ).
thf(2968,plain,
! [SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV291: $i,SV140: $i,SV480: mworld] :
( ( ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) ) )
= $false )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2858]) ).
thf(2969,plain,
! [SV291: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV140: $i,SV480: mworld] :
( ( ( ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) )
= $false )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2858]) ).
thf(2970,plain,
! [SV295: $i,SV416: $i,SV481: $i,SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV538: mworld] :
( ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( ~ ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2859]) ).
thf(2971,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV538: mworld] :
( ( ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2860]) ).
thf(2972,plain,
! [SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV539: mworld] :
( ( ( ! [SY2746: mworld] :
( ~ ( mrel @ SV539 @ SY2746 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2746 ) ) )
= $false )
| ( ( ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2861]) ).
thf(2973,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV647: mworld,SV222: mworld] :
( ( ( mrel @ SV222 @ SV647 )
= $false )
| ( ( member @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SV647 )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2862]) ).
thf(2974,plain,
! [SV145: $i,SV455: mworld,SV64: mworld,SV648: mworld,SV222: mworld] :
( ( ( mrel @ SV222 @ SV648 )
= $false )
| ( ( disjoint @ ( sK42_SY1530 @ SV64 @ SV455 @ SV145 @ SV222 ) @ SV145 @ SV648 )
= $true )
| ( ( qmltpeq @ SV145 @ null_class @ SV455 )
= $true )
| ( ( mrel @ ( sK9_SY1528 @ SV64 @ SV145 @ SV222 ) @ SV455 )
= $false )
| ( ( mrel @ SV64 @ SV222 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2863]) ).
thf(2975,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV699: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ SV699 )
| ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV699 ) )
= $true )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( mrel @ SV418 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2864]) ).
thf(2976,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV672: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ SV672 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV672 )
= $true )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( member @ SV146 @ SV297 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $false )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2865]) ).
thf(2977,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV673: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ SV673 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV673 )
= $true )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( mrel @ SV418 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2866]) ).
thf(2978,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV649: mworld,SV418: mworld] :
( ( ( mrel @ SV418 @ SV649 )
= $false )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV649 )
= $true )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( member @ SV146 @ SV297 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $false )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2867]) ).
thf(2979,plain,
! [SV423: $i,SV152: $i,SV71: mworld,SV229: mworld,SV358: mworld,SV302: $i,SV460: mworld] :
( ( ( mrel @ SV460 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) )
= $true )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV460 @ SY2600 )
| ( member @ SV423 @ SV302 @ SY2600 ) ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2868]) ).
thf(2980,plain,
! [SV152: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV302: $i,SV423: $i,SV700: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ SV700 )
| ( member @ SV423 @ SV302 @ SV700 ) )
= $true )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( member @ SV423 @ SV152 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) )
= $false )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2869]) ).
thf(2981,plain,
! [SV358: mworld,SV229: mworld,SV71: mworld,SV152: $i,SV302: $i,SV423: $i,SV701: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ SV701 )
| ( member @ SV423 @ SV302 @ SV701 ) )
= $true )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( mrel @ SV460 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2870]) ).
thf(2982,plain,
! [SV358: mworld,SV229: mworld,SV71: mworld,SV152: $i,SV302: $i,SV423: $i,SV674: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ SV674 ) )
= $true )
| ( ( member @ SV423 @ SV302 @ SV674 )
= $true )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( member @ SV423 @ SV152 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) )
= $false )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2871]) ).
thf(2983,plain,
! [SV157: $i,SV306: $i,SV425: $i,SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV545: mworld] :
( ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2872]) ).
thf(2984,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV545: mworld] :
( ( ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2873]) ).
thf(2985,plain,
! [SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV546: mworld] :
( ( ( ! [SY2752: mworld] :
( ~ ( mrel @ SV546 @ SY2752 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2752 ) ) )
= $false )
| ( ( ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2874]) ).
thf(2986,plain,
! [SV426: $i,SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV547: mworld] :
( ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( ~ ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2875]) ).
thf(2987,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV547: mworld] :
( ( ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2876]) ).
thf(2988,plain,
! [SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV548: mworld] :
( ( ( ! [SY2758: mworld] :
( ~ ( mrel @ SV548 @ SY2758 )
| ( member @ SV426 @ universal_class @ SY2758 ) ) )
= $false )
| ( ( ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2877]) ).
thf(2989,plain,
! [SV159: $i,SV308: $i,SV427: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV549: mworld] :
( ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( ~ ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2878]) ).
thf(2990,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV549: mworld] :
( ( ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2879]) ).
thf(2991,plain,
! [SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV550: mworld] :
( ( ( ! [SY2764: mworld] :
( ~ ( mrel @ SV550 @ SY2764 )
| ( member @ SV159 @ SV427 @ SY2764 ) ) )
= $false )
| ( ( ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2880]) ).
thf(2992,plain,
! [SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV428: $i,SV702: mworld,SV487: mworld] :
( ( ( ~ ( mrel @ SV487 @ SV702 )
| ( member @ SV428 @ SV161 @ SV702 ) )
= $true )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2881]) ).
thf(2993,plain,
! [SV161: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV428: $i,SV703: mworld,SV487: mworld] :
( ( ( ~ ( mrel @ SV487 @ SV703 )
| ( member @ SV428 @ SV310 @ SV703 ) )
= $true )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2882]) ).
thf(2994,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV675: mworld,SV487: mworld] :
( ( ( ~ ( mrel @ SV487 @ SV675 ) )
= $true )
| ( ( member @ SV428 @ SV161 @ SV675 )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2883]) ).
thf(2995,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV310: $i,SV428: $i,SV676: mworld,SV487: mworld] :
( ( ( ~ ( mrel @ SV487 @ SV676 ) )
= $true )
| ( ( member @ SV428 @ SV310 @ SV676 )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2884]) ).
thf(2996,plain,
! [SV161: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV428: $i,SV488: mworld] :
( ( ( ! [SY2694: mworld] :
( ~ ( mrel @ SV488 @ SY2694 )
| ( member @ SV428 @ SV310 @ SY2694 ) ) )
= $false )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2885]) ).
thf(2997,plain,
! [SV428: $i,SV310: $i,SV161: $i,SV80: mworld,SV238: mworld,SV366: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) )
| ( member @ SV428 @ SV310 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) ) )
= $false )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2886]) ).
thf(2998,plain,
! [SV87: $i,SV246: $i,SV375: mworld,SV4: mworld,SV166: mworld,SV597: mworld] :
( ( ( ~ ( mrel @ SV597 @ ( sK135_SY2777 @ SV166 @ SV4 @ SV375 @ SV246 @ SV87 @ SV597 ) ) )
= $false )
| ( ( mrel @ SV375 @ SV597 )
= $false )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2888]) ).
thf(2999,plain,
! [SV597: mworld,SV375: mworld,SV4: mworld,SV166: mworld,SV246: $i,SV87: $i] :
( ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ ( sK135_SY2777 @ SV166 @ SV4 @ SV375 @ SV246 @ SV87 @ SV597 ) )
= $false )
| ( ( mrel @ SV375 @ SV597 )
= $false )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2888]) ).
thf(3000,plain,
! [SV87: $i,SV246: $i,SV375: mworld,SV4: mworld,SV166: mworld,SV572: mworld] :
( ( ( mrel @ SV572 @ ( sK131_SY2769 @ SV166 @ SV4 @ SV375 @ SV246 @ SV87 @ SV572 ) )
= $true )
| ( ( mrel @ SV375 @ SV572 )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $false )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2889]) ).
thf(3001,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV677: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ SV677 ) )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ SV677 )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( mrel @ SV376 @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2891]) ).
thf(3002,plain,
! [SV678: mworld,SV376: mworld,SV87: $i,SV246: $i,SV4: mworld,SV166: mworld] :
( ( ( ~ ( mrel @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV678 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV678 )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2892]) ).
thf(3003,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV650: mworld,SV376: mworld] :
( ( ( mrel @ SV376 @ SV650 )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ SV650 )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( mrel @ SV376 @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2893]) ).
thf(3004,plain,
! [SV651: mworld,SV376: mworld,SV87: $i,SV246: $i,SV4: mworld,SV166: mworld] :
( ( ( mrel @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV651 )
= $false )
| ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV651 )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2894]) ).
thf(3005,plain,
! [SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV652: mworld,SV380: mworld] :
( ( ( mrel @ SV380 @ SV652 )
= $false )
| ( ( member @ SV91 @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV652 )
= $true )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2896]) ).
thf(3006,plain,
! [SV91: $i,SV250: $i,SV8: mworld,SV170: mworld,SV653: mworld,SV380: mworld] :
( ( ( mrel @ SV380 @ SV653 )
= $false )
| ( ( member @ ( sK80_SY2314 @ SV170 @ SV8 @ SV250 @ SV91 @ SV380 ) @ SV250 @ SV653 )
= $true )
| ( ( mrel @ SV380 @ ( sK30_SY2313 @ SV8 @ SV170 @ SV250 @ SV91 @ SV380 ) )
= $true )
| ( ( mrel @ SV170 @ SV380 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2897]) ).
thf(3007,plain,
! [SV508: $i,SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) ) )
= $false )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2900]) ).
thf(3008,plain,
! [SV381: mworld,SV8: mworld,SV170: mworld,SV91: $i,SV250: $i,SV508: $i] :
( ( ( member @ SV508 @ SV250 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) )
= $false )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2900]) ).
thf(3009,plain,
! [SV508: $i,SV250: $i,SV91: $i,SV8: mworld,SV170: mworld,SV381: mworld] :
( ( ( mrel @ SV381 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) )
= $true )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2901]) ).
thf(3010,plain,
! [SV170: mworld,SV8: mworld,SV508: $i,SV250: $i,SV91: $i,SV704: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ SV704 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SV704 ) )
= $true )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( member @ SV508 @ SV250 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) )
= $false )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2902]) ).
thf(3011,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV638: mworld,SV103: $i,SV259: $i,SV384: $i,SV705: mworld,SV471: mworld] :
( ( ( ~ ( mrel @ SV471 @ SV705 )
| ( member @ SV384 @ SV259 @ SV705 ) )
= $true )
| ( ( member @ SV384 @ SV103 @ SV638 )
= $true )
| ( ( mrel @ SV471 @ SV638 )
= $false )
| ( ( mrel @ SV471 @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2903]) ).
thf(3012,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV625: mworld,SV103: $i,SV259: $i,SV384: $i,SV679: mworld,SV471: mworld] :
( ( ( ~ ( mrel @ SV471 @ SV679 ) )
= $true )
| ( ( member @ SV384 @ SV259 @ SV679 )
= $true )
| ( ( member @ SV384 @ SV103 @ SV625 )
= $true )
| ( ( mrel @ SV471 @ SV625 )
= $false )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $false )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2904]) ).
thf(3013,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV680: mworld,SV387: mworld] :
( ( ( ~ ( mrel @ SV387 @ SV680 ) )
= $true )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ SV680 )
= $true )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( mrel @ SV387 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2908]) ).
thf(3014,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV654: mworld,SV387: mworld] :
( ( ( mrel @ SV387 @ SV654 )
= $false )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ SV654 )
= $true )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( subclass @ SV106 @ SV261 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2909]) ).
thf(3015,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV655: mworld,SV387: mworld] :
( ( ( mrel @ SV387 @ SV655 )
= $false )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ SV655 )
= $true )
| ( ( member @ SV106 @ universal_class @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $false )
| ( ( mrel @ SV387 @ ( sK101_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2910]) ).
thf(3016,plain,
! [SV108: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV389: $i,SV263: $i,SV706: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ SV706 )
| ( subclass @ SV263 @ SV389 @ SV706 ) )
= $true )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( mrel @ SV437 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2912]) ).
thf(3017,plain,
! [SV108: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV389: $i,SV263: $i,SV681: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ SV681 ) )
= $true )
| ( ( subclass @ SV263 @ SV389 @ SV681 )
= $true )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( subclass @ SV108 @ SV389 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) )
= $false )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2913]) ).
thf(3018,plain,
! [SV329: mworld,SV187: mworld,SV25: mworld,SV108: $i,SV389: $i,SV263: $i,SV682: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ SV682 ) )
= $true )
| ( ( subclass @ SV263 @ SV389 @ SV682 )
= $true )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( mrel @ SV437 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2914]) ).
thf(3019,plain,
! [SV329: mworld,SV187: mworld,SV25: mworld,SV108: $i,SV389: $i,SV263: $i,SV656: mworld,SV437: mworld] :
( ( ( mrel @ SV437 @ SV656 )
= $false )
| ( ( subclass @ SV263 @ SV389 @ SV656 )
= $true )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( subclass @ SV108 @ SV389 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) )
= $false )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2915]) ).
thf(3020,plain,
! [SV264: $i,SV109: $i,SV390: mworld,SV26: mworld,SV188: mworld,SV603: mworld] :
( ( ( ~ ( mrel @ SV603 @ ( sK137_SY2779 @ SV188 @ SV26 @ SV390 @ SV109 @ SV264 @ SV603 ) ) )
= $false )
| ( ( mrel @ SV390 @ SV603 )
= $false )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2916]) ).
thf(3021,plain,
! [SV603: mworld,SV390: mworld,SV26: mworld,SV188: mworld,SV109: $i,SV264: $i] :
( ( ( member @ SV264 @ SV109 @ ( sK137_SY2779 @ SV188 @ SV26 @ SV390 @ SV109 @ SV264 @ SV603 ) )
= $false )
| ( ( mrel @ SV390 @ SV603 )
= $false )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2916]) ).
thf(3022,plain,
! [SV264: $i,SV109: $i,SV390: mworld,SV26: mworld,SV188: mworld,SV577: mworld] :
( ( ( mrel @ SV577 @ ( sK133_SY2770 @ SV188 @ SV26 @ SV390 @ SV109 @ SV264 @ SV577 ) )
= $true )
| ( ( mrel @ SV390 @ SV577 )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $false )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2917]) ).
thf(3023,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV683: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ SV683 ) )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ SV683 )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( mrel @ SV391 @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2919]) ).
thf(3024,plain,
! [SV684: mworld,SV391: mworld,SV264: $i,SV109: $i,SV26: mworld,SV188: mworld] :
( ( ( ~ ( mrel @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV684 ) )
= $true )
| ( ( member @ SV264 @ SV109 @ SV684 )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2920]) ).
thf(3025,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV657: mworld,SV391: mworld] :
( ( ( mrel @ SV391 @ SV657 )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ SV657 )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( mrel @ SV391 @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2921]) ).
thf(3026,plain,
! [SV658: mworld,SV391: mworld,SV264: $i,SV109: $i,SV26: mworld,SV188: mworld] :
( ( ( mrel @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV658 )
= $false )
| ( ( member @ SV264 @ SV109 @ SV658 )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2922]) ).
thf(3027,plain,
! [SV269: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV394: $i,SV114: $i,SV707: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ SV707 )
| ( qmltpeq @ SV114 @ SV394 @ SV707 ) )
= $true )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( mrel @ SV440 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2923]) ).
thf(3028,plain,
! [SV269: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV394: $i,SV114: $i,SV685: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ SV685 ) )
= $true )
| ( ( qmltpeq @ SV114 @ SV394 @ SV685 )
= $true )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( qmltpeq @ SV269 @ SV394 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) )
= $false )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2924]) ).
thf(3029,plain,
! [SV334: mworld,SV193: mworld,SV32: mworld,SV269: $i,SV394: $i,SV114: $i,SV686: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ SV686 ) )
= $true )
| ( ( qmltpeq @ SV114 @ SV394 @ SV686 )
= $true )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( mrel @ SV440 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2925]) ).
thf(3030,plain,
! [SV334: mworld,SV193: mworld,SV32: mworld,SV269: $i,SV394: $i,SV114: $i,SV659: mworld,SV440: mworld] :
( ( ( mrel @ SV440 @ SV659 )
= $false )
| ( ( qmltpeq @ SV114 @ SV394 @ SV659 )
= $true )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( qmltpeq @ SV269 @ SV394 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) )
= $false )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2926]) ).
thf(3031,plain,
! [SV194: mworld,SV33: mworld,SV395: mworld,SV527: mworld,SV270: $i,SV115: $i,SV604: $i,SV629: mworld] :
( ( ( ! [SY2793: mworld] :
( ~ ( mrel @ SV629 @ SY2793 )
| ( member @ SV604 @ SV115 @ SY2793 ) ) )
= $false )
| ( ( ! [SY2794: mworld] :
( ~ ( mrel @ SV629 @ SY2794 )
| ( member @ SV604 @ SV270 @ SY2794 ) ) )
= $true )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2927]) ).
thf(3032,plain,
! [SV578: $i,SV115: $i,SV270: $i,SV513: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV605: mworld] :
( ( ( ~ ( mrel @ SV605 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) )
| ( member @ SV578 @ SV115 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) ) )
= $false )
| ( ( ! [SY2785: mworld] :
( ~ ( mrel @ SV605 @ SY2785 )
| ( member @ SV578 @ SV270 @ SY2785 ) ) )
= $true )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2928]) ).
thf(3033,plain,
! [SV630: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV687: mworld,SV396: mworld] :
( ( ( ~ ( mrel @ SV396 @ SV687 ) )
= $true )
| ( ( subclass @ SV115 @ SV270 @ SV687 )
= $true )
| ( ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SV630 )
= $true )
| ( ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV630 )
= $false )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2929]) ).
thf(3034,plain,
! [SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV660: mworld,SV396: mworld] :
( ( ( mrel @ SV396 @ SV660 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ SV660 )
= $true )
| ( ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ ( sK103_SY2736 @ SV33 @ SV194 @ SV270 @ SV115 @ SV396 ) )
= $true )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2930]) ).
thf(3035,plain,
! [SV121: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV275: $i,SV400: $i,SV708: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ SV708 )
| ( subclass @ SV400 @ SV275 @ SV708 ) )
= $true )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( mrel @ SV444 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2932]) ).
thf(3036,plain,
! [SV121: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV275: $i,SV400: $i,SV688: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ SV688 ) )
= $true )
| ( ( subclass @ SV400 @ SV275 @ SV688 )
= $true )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( subclass @ SV400 @ SV121 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) )
= $false )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2933]) ).
thf(3037,plain,
! [SV339: mworld,SV200: mworld,SV39: mworld,SV121: $i,SV275: $i,SV400: $i,SV689: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ SV689 ) )
= $true )
| ( ( subclass @ SV400 @ SV275 @ SV689 )
= $true )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( mrel @ SV444 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2934]) ).
thf(3038,plain,
! [SV339: mworld,SV200: mworld,SV39: mworld,SV121: $i,SV275: $i,SV400: $i,SV661: mworld,SV444: mworld] :
( ( ( mrel @ SV444 @ SV661 )
= $false )
| ( ( subclass @ SV400 @ SV275 @ SV661 )
= $true )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( subclass @ SV400 @ SV121 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) )
= $false )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2935]) ).
thf(3039,plain,
! [SV124: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV403: $i,SV278: $i,SV709: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ SV709 )
| ( member @ SV278 @ SV403 @ SV709 ) )
= $true )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( mrel @ SV447 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2936]) ).
thf(3040,plain,
! [SV124: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV403: $i,SV278: $i,SV690: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ SV690 ) )
= $true )
| ( ( member @ SV278 @ SV403 @ SV690 )
= $true )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( member @ SV124 @ SV403 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) )
= $false )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2937]) ).
thf(3041,plain,
! [SV342: mworld,SV203: mworld,SV42: mworld,SV124: $i,SV403: $i,SV278: $i,SV691: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ SV691 ) )
= $true )
| ( ( member @ SV278 @ SV403 @ SV691 )
= $true )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( mrel @ SV447 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2938]) ).
thf(3042,plain,
! [SV342: mworld,SV203: mworld,SV42: mworld,SV124: $i,SV403: $i,SV278: $i,SV662: mworld,SV447: mworld] :
( ( ( mrel @ SV447 @ SV662 )
= $false )
| ( ( member @ SV278 @ SV403 @ SV662 )
= $true )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( member @ SV124 @ SV403 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) )
= $false )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2939]) ).
thf(3043,plain,
! [SV128: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV406: $i,SV281: $i,SV710: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ SV710 )
| ( disjoint @ SV281 @ SV406 @ SV710 ) )
= $true )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( mrel @ SV450 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2940]) ).
thf(3044,plain,
! [SV128: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV406: $i,SV281: $i,SV692: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ SV692 ) )
= $true )
| ( ( disjoint @ SV281 @ SV406 @ SV692 )
= $true )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( disjoint @ SV128 @ SV406 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) )
= $false )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2941]) ).
thf(3045,plain,
! [SV345: mworld,SV207: mworld,SV46: mworld,SV128: $i,SV406: $i,SV281: $i,SV693: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ SV693 ) )
= $true )
| ( ( disjoint @ SV281 @ SV406 @ SV693 )
= $true )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( mrel @ SV450 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2942]) ).
thf(3046,plain,
! [SV345: mworld,SV207: mworld,SV46: mworld,SV128: $i,SV406: $i,SV281: $i,SV663: mworld,SV450: mworld] :
( ( ( mrel @ SV450 @ SV663 )
= $false )
| ( ( disjoint @ SV281 @ SV406 @ SV663 )
= $true )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( disjoint @ SV128 @ SV406 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) )
= $false )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2943]) ).
thf(3047,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV694: mworld,SV408: mworld] :
( ( ( ~ ( mrel @ SV408 @ SV694 ) )
= $true )
| ( ( qmltpeq @ SV130 @ SV282 @ SV694 )
= $true )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( mrel @ SV408 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2944]) ).
thf(3048,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV664: mworld,SV408: mworld] :
( ( ( mrel @ SV408 @ SV664 )
= $false )
| ( ( qmltpeq @ SV130 @ SV282 @ SV664 )
= $true )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( subclass @ SV282 @ SV130 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $false )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2945]) ).
thf(3049,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV665: mworld,SV408: mworld] :
( ( ( mrel @ SV408 @ SV665 )
= $false )
| ( ( qmltpeq @ SV130 @ SV282 @ SV665 )
= $true )
| ( ( subclass @ SV130 @ SV282 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $false )
| ( ( mrel @ SV408 @ ( sK104_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2946]) ).
thf(3050,plain,
! [SV136: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV286: $i,SV409: $i,SV711: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ SV711 )
| ( disjoint @ SV409 @ SV286 @ SV711 ) )
= $true )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( mrel @ SV452 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2948]) ).
thf(3051,plain,
! [SV136: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV286: $i,SV409: $i,SV695: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ SV695 ) )
= $true )
| ( ( disjoint @ SV409 @ SV286 @ SV695 )
= $true )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( disjoint @ SV409 @ SV136 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) )
= $false )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2949]) ).
thf(3052,plain,
! [SV349: mworld,SV215: mworld,SV54: mworld,SV136: $i,SV286: $i,SV409: $i,SV696: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ SV696 ) )
= $true )
| ( ( disjoint @ SV409 @ SV286 @ SV696 )
= $true )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( mrel @ SV452 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2950]) ).
thf(3053,plain,
! [SV349: mworld,SV215: mworld,SV54: mworld,SV136: $i,SV286: $i,SV409: $i,SV666: mworld,SV452: mworld] :
( ( ( mrel @ SV452 @ SV666 )
= $false )
| ( ( disjoint @ SV409 @ SV286 @ SV666 )
= $true )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( disjoint @ SV409 @ SV136 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) )
= $false )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2951]) ).
thf(3054,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV289: $i,SV138: $i,SV615: $i,SV633: mworld] :
( ( ( ~ ! [SY2795: mworld] :
( ~ ( mrel @ SV633 @ SY2795 )
| ( member @ SV615 @ SV138 @ SY2795 ) )
| ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2952]) ).
thf(3055,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV289: $i,SV138: $i,SV587: $i,SV616: mworld] :
( ( ( ~ ! [SY2789: mworld] :
( ~ ( mrel @ SV616 @ SY2789 )
| ( member @ SV587 @ SV138 @ SY2789 ) ) )
= $true )
| ( ( ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2953]) ).
thf(3056,plain,
! [SV667: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV667 )
= $false )
| ( ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SV667 )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2954]) ).
thf(3057,plain,
! [SV668: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV411: mworld] :
( ( ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV668 )
= $false )
| ( ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SV668 )
= $true )
| ( ( ! [SY2429: mworld] :
( ~ ( mrel @ SV411 @ SY2429 )
| ( disjoint @ SV138 @ SV289 @ SY2429 ) ) )
= $true )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2955]) ).
thf(3058,plain,
! [SV139: $i,SV217: mworld,SV57: mworld,SV290: $i,SV669: mworld,SV412: mworld] :
( ( ( mrel @ SV412 @ SV669 )
= $false )
| ( ( member @ SV290 @ universal_class @ SV669 )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2956]) ).
thf(3059,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV670: mworld,SV412: mworld] :
( ( ( mrel @ SV412 @ SV670 )
= $false )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SV670 )
= $true )
| ( ( mrel @ SV412 @ ( sK41_SY2430 @ SV57 @ SV217 @ SV290 @ SV139 @ SV412 ) )
= $true )
| ( ( mrel @ SV217 @ SV412 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2957]) ).
thf(3060,plain,
! [SV290: $i,SV139: $i,SV57: mworld,SV217: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) ) )
= $false )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2960]) ).
thf(3061,plain,
! [SV413: mworld,SV139: $i,SV57: mworld,SV217: mworld,SV290: $i] :
( ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2960]) ).
thf(3062,plain,
! [SV290: $i,SV139: $i,SV57: mworld,SV217: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2961]) ).
thf(3063,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV413: mworld] :
( ( ( ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3064,plain,
! [SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV140: $i,SV697: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV697 ) )
= $true )
| ( ( member @ SV140 @ universal_class @ SV697 )
= $true )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2963]) ).
thf(3065,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV712: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV712 )
| ( qmltpeq @ SV140 @ SV291 @ SV712 ) )
= $true )
| ( ( ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) )
= $true )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2964]) ).
thf(3066,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV671: mworld,SV479: mworld] :
( ( ( mrel @ SV479 @ SV671 )
= $false )
| ( ( member @ SV140 @ universal_class @ SV671 )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2965]) ).
thf(3067,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV698: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV698 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ SV698 )
= $true )
| ( ( ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2966]) ).
thf(3068,plain,
! [SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV291: $i,SV140: $i,SV480: mworld] :
( ( ( ! [SY2655: mworld] :
( ~ ( mrel @ SV480 @ SY2655 )
| ( qmltpeq @ SV140 @ SV291 @ SY2655 ) ) )
= $false )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2967]) ).
thf(3069,plain,
! [SV291: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV140: $i,SV480: mworld] :
( ( ( ! [SY2656: mworld] :
( ~ ( mrel @ SV480 @ SY2656 )
| ( qmltpeq @ SV140 @ SV414 @ SY2656 ) ) )
= $false )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2967]) ).
thf(3070,plain,
! [SV140: $i,SV291: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
| ( qmltpeq @ SV140 @ SV291 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) ) )
= $false )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2968]) ).
thf(3071,plain,
! [SV140: $i,SV414: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV291: $i,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
| ( qmltpeq @ SV140 @ SV414 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) ) )
= $false )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2969]) ).
thf(3072,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV538: mworld] :
( ( ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) )
= $false )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2970]) ).
thf(3073,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV538: mworld] :
( ( ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(3074,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV538: mworld] :
( ( ( ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(3075,plain,
! [SV295: $i,SV416: $i,SV481: $i,SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) ) )
= $false )
| ( ( ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2972]) ).
thf(3076,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV699: mworld,SV418: mworld] :
( ( ( ~ ( mrel @ SV418 @ SV699 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV699 )
= $true )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( mrel @ SV418 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2975]) ).
thf(3077,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV672: mworld,SV418: mworld] :
( ( ( mrel @ SV418 @ SV672 )
= $false )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV672 )
= $true )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( member @ SV146 @ SV297 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $false )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2976]) ).
thf(3078,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV673: mworld,SV418: mworld] :
( ( ( mrel @ SV418 @ SV673 )
= $false )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV673 )
= $true )
| ( ( member @ SV297 @ universal_class @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $false )
| ( ( mrel @ SV418 @ ( sK105_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2977]) ).
thf(3079,plain,
! [SV152: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV302: $i,SV423: $i,SV713: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ SV713 )
| ( member @ SV423 @ SV302 @ SV713 ) )
= $true )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( mrel @ SV460 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2979]) ).
thf(3080,plain,
! [SV152: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV302: $i,SV423: $i,SV700: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ SV700 ) )
= $true )
| ( ( member @ SV423 @ SV302 @ SV700 )
= $true )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( member @ SV423 @ SV152 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) )
= $false )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2980]) ).
thf(3081,plain,
! [SV358: mworld,SV229: mworld,SV71: mworld,SV152: $i,SV302: $i,SV423: $i,SV701: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ SV701 ) )
= $true )
| ( ( member @ SV423 @ SV302 @ SV701 )
= $true )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( mrel @ SV460 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2981]) ).
thf(3082,plain,
! [SV358: mworld,SV229: mworld,SV71: mworld,SV152: $i,SV302: $i,SV423: $i,SV674: mworld,SV460: mworld] :
( ( ( mrel @ SV460 @ SV674 )
= $false )
| ( ( member @ SV423 @ SV302 @ SV674 )
= $true )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( member @ SV423 @ SV152 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) )
= $false )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2982]) ).
thf(3083,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV545: mworld] :
( ( ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) )
= $false )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2983]) ).
thf(3084,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV545: mworld] :
( ( ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3085,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV545: mworld] :
( ( ( ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3086,plain,
! [SV157: $i,SV306: $i,SV425: $i,SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) ) )
= $false )
| ( ( ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2985]) ).
thf(3087,plain,
! [SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV307: $i,SV484: $i,SV426: $i,SV547: mworld] :
( ( ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) )
= $false )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2986]) ).
thf(3088,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV547: mworld] :
( ( ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2987]) ).
thf(3089,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV426: $i,SV307: $i,SV484: $i,SV547: mworld] :
( ( ( ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2987]) ).
thf(3090,plain,
! [SV426: $i,SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
| ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) ) )
= $false )
| ( ( ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2988]) ).
thf(3091,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV549: mworld] :
( ( ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) )
= $false )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2989]) ).
thf(3092,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV549: mworld] :
( ( ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2990]) ).
thf(3093,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV485: $i,SV308: $i,SV549: mworld] :
( ( ( ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2990]) ).
thf(3094,plain,
! [SV159: $i,SV427: $i,SV308: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
| ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) ) )
= $false )
| ( ( ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2991]) ).
thf(3095,plain,
! [SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV428: $i,SV702: mworld,SV487: mworld] :
( ( ( ~ ( mrel @ SV487 @ SV702 ) )
= $true )
| ( ( member @ SV428 @ SV161 @ SV702 )
= $true )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2992]) ).
thf(3096,plain,
! [SV161: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV428: $i,SV703: mworld,SV487: mworld] :
( ( ( ~ ( mrel @ SV487 @ SV703 ) )
= $true )
| ( ( member @ SV428 @ SV310 @ SV703 )
= $true )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2993]) ).
thf(3097,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV675: mworld,SV487: mworld] :
( ( ( mrel @ SV487 @ SV675 )
= $false )
| ( ( member @ SV428 @ SV161 @ SV675 )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2994]) ).
thf(3098,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV310: $i,SV428: $i,SV676: mworld,SV487: mworld] :
( ( ( mrel @ SV487 @ SV676 )
= $false )
| ( ( member @ SV428 @ SV310 @ SV676 )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $false )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2995]) ).
thf(3099,plain,
! [SV428: $i,SV310: $i,SV80: mworld,SV238: mworld,SV366: mworld,SV161: $i,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) )
| ( member @ SV428 @ SV310 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) ) )
= $false )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2996]) ).
thf(3100,plain,
! [SV428: $i,SV310: $i,SV161: $i,SV80: mworld,SV238: mworld,SV366: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) ) )
= $false )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2997]) ).
thf(3101,plain,
! [SV488: mworld,SV161: $i,SV80: mworld,SV238: mworld,SV366: mworld,SV310: $i,SV428: $i] :
( ( ( member @ SV428 @ SV310 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) )
= $false )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2997]) ).
thf(3102,plain,
! [SV87: $i,SV246: $i,SV375: mworld,SV4: mworld,SV166: mworld,SV597: mworld] :
( ( ( mrel @ SV597 @ ( sK135_SY2777 @ SV166 @ SV4 @ SV375 @ SV246 @ SV87 @ SV597 ) )
= $true )
| ( ( mrel @ SV375 @ SV597 )
= $false )
| ( ( mrel @ SV375 @ ( sK29_SY2294 @ SV4 @ SV166 @ SV87 @ SV246 @ SV375 ) )
= $true )
| ( ( mrel @ SV166 @ SV375 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2998]) ).
thf(3103,plain,
! [SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV677: mworld,SV376: mworld] :
( ( ( mrel @ SV376 @ SV677 )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ SV677 )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( mrel @ SV376 @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3104,plain,
! [SV678: mworld,SV376: mworld,SV87: $i,SV246: $i,SV4: mworld,SV166: mworld] :
( ( ( mrel @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV678 )
= $false )
| ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV678 )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( ! [SY2301: mworld] :
( ~ ( mrel @ SV376 @ SY2301 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SY2301 ) ) )
= $true )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3002]) ).
thf(3105,plain,
! [SV651: mworld,SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV714: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ SV714 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SV714 ) )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV651 )
= $true )
| ( ( mrel @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV651 )
= $false )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3004]) ).
thf(3106,plain,
! [SV508: $i,SV250: $i,SV8: mworld,SV170: mworld,SV91: $i,SV381: mworld] :
( ( ( mrel @ SV381 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) )
= $true )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( ! [SY2320: mworld] :
( ~ ( mrel @ SV381 @ SY2320 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SY2320 ) ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3007]) ).
thf(3107,plain,
! [SV508: $i,SV170: mworld,SV8: mworld,SV250: $i,SV91: $i,SV715: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ SV715 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SV715 ) )
= $true )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( member @ SV508 @ SV250 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) )
= $false )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3008]) ).
thf(3108,plain,
! [SV170: mworld,SV8: mworld,SV508: $i,SV250: $i,SV91: $i,SV716: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ SV716 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SV716 ) )
= $true )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( mrel @ SV381 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3009]) ).
thf(3109,plain,
! [SV170: mworld,SV8: mworld,SV508: $i,SV250: $i,SV91: $i,SV704: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ SV704 ) )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ SV704 )
= $true )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( member @ SV508 @ SV250 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) )
= $false )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3010]) ).
thf(3110,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV638: mworld,SV103: $i,SV259: $i,SV384: $i,SV705: mworld,SV471: mworld] :
( ( ( ~ ( mrel @ SV471 @ SV705 ) )
= $true )
| ( ( member @ SV384 @ SV259 @ SV705 )
= $true )
| ( ( member @ SV384 @ SV103 @ SV638 )
= $true )
| ( ( mrel @ SV471 @ SV638 )
= $false )
| ( ( mrel @ SV471 @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3011]) ).
thf(3111,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV625: mworld,SV103: $i,SV259: $i,SV384: $i,SV679: mworld,SV471: mworld] :
( ( ( mrel @ SV471 @ SV679 )
= $false )
| ( ( member @ SV384 @ SV259 @ SV679 )
= $true )
| ( ( member @ SV384 @ SV103 @ SV625 )
= $true )
| ( ( mrel @ SV471 @ SV625 )
= $false )
| ( ( member @ SV384 @ ( union @ SV103 @ SV259 ) @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $false )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3012]) ).
thf(3112,plain,
! [SV185: mworld,SV23: mworld,SV261: $i,SV106: $i,SV680: mworld,SV387: mworld] :
( ( ( mrel @ SV387 @ SV680 )
= $false )
| ( ( member @ SV106 @ ( power_class @ SV261 ) @ SV680 )
= $true )
| ( ( mrel @ SV387 @ ( sK69_SY2341 @ SV23 @ SV185 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( mrel @ SV387 @ ( sK107_SY2342 @ SV185 @ SV23 @ SV261 @ SV106 @ SV387 ) )
= $true )
| ( ( mrel @ SV185 @ SV387 )
= $false )
| ( ( mrel @ SV23 @ SV185 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3013]) ).
thf(3113,plain,
! [SV108: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV389: $i,SV263: $i,SV706: mworld,SV437: mworld] :
( ( ( ~ ( mrel @ SV437 @ SV706 ) )
= $true )
| ( ( subclass @ SV263 @ SV389 @ SV706 )
= $true )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( mrel @ SV437 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3016]) ).
thf(3114,plain,
! [SV108: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV389: $i,SV263: $i,SV681: mworld,SV437: mworld] :
( ( ( mrel @ SV437 @ SV681 )
= $false )
| ( ( subclass @ SV263 @ SV389 @ SV681 )
= $true )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( subclass @ SV108 @ SV389 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) )
= $false )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3017]) ).
thf(3115,plain,
! [SV329: mworld,SV187: mworld,SV25: mworld,SV108: $i,SV389: $i,SV263: $i,SV682: mworld,SV437: mworld] :
( ( ( mrel @ SV437 @ SV682 )
= $false )
| ( ( subclass @ SV263 @ SV389 @ SV682 )
= $true )
| ( ( qmltpeq @ SV108 @ SV263 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $false )
| ( ( mrel @ SV437 @ ( sK108_SY2545 @ SV329 @ SV187 @ SV25 @ SV263 @ SV389 @ SV108 @ SV437 ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3116,plain,
! [SV264: $i,SV109: $i,SV390: mworld,SV26: mworld,SV188: mworld,SV603: mworld] :
( ( ( mrel @ SV603 @ ( sK137_SY2779 @ SV188 @ SV26 @ SV390 @ SV109 @ SV264 @ SV603 ) )
= $true )
| ( ( mrel @ SV390 @ SV603 )
= $false )
| ( ( mrel @ SV390 @ ( sK33_SY2351 @ SV26 @ SV188 @ SV109 @ SV264 @ SV390 ) )
= $true )
| ( ( mrel @ SV188 @ SV390 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3020]) ).
thf(3117,plain,
! [SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV683: mworld,SV391: mworld] :
( ( ( mrel @ SV391 @ SV683 )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ SV683 )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( mrel @ SV391 @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3023]) ).
thf(3118,plain,
! [SV684: mworld,SV391: mworld,SV264: $i,SV109: $i,SV26: mworld,SV188: mworld] :
( ( ( mrel @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV684 )
= $false )
| ( ( member @ SV264 @ SV109 @ SV684 )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( ! [SY2358: mworld] :
( ~ ( mrel @ SV391 @ SY2358 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SY2358 ) ) )
= $true )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3024]) ).
thf(3119,plain,
! [SV658: mworld,SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV717: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ SV717 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SV717 ) )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( member @ SV264 @ SV109 @ SV658 )
= $true )
| ( ( mrel @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV658 )
= $false )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3026]) ).
thf(3120,plain,
! [SV269: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV394: $i,SV114: $i,SV707: mworld,SV440: mworld] :
( ( ( ~ ( mrel @ SV440 @ SV707 ) )
= $true )
| ( ( qmltpeq @ SV114 @ SV394 @ SV707 )
= $true )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( mrel @ SV440 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3027]) ).
thf(3121,plain,
! [SV269: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV394: $i,SV114: $i,SV685: mworld,SV440: mworld] :
( ( ( mrel @ SV440 @ SV685 )
= $false )
| ( ( qmltpeq @ SV114 @ SV394 @ SV685 )
= $true )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( qmltpeq @ SV269 @ SV394 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) )
= $false )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3028]) ).
thf(3122,plain,
! [SV334: mworld,SV193: mworld,SV32: mworld,SV269: $i,SV394: $i,SV114: $i,SV686: mworld,SV440: mworld] :
( ( ( mrel @ SV440 @ SV686 )
= $false )
| ( ( qmltpeq @ SV114 @ SV394 @ SV686 )
= $true )
| ( ( qmltpeq @ SV114 @ SV269 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $false )
| ( ( mrel @ SV440 @ ( sK110_SY2552 @ SV334 @ SV193 @ SV32 @ SV114 @ SV394 @ SV269 @ SV440 ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3029]) ).
thf(3123,plain,
! [SV604: $i,SV115: $i,SV270: $i,SV527: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV629: mworld] :
( ( ( ~ ( mrel @ SV629 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) )
| ( member @ SV604 @ SV115 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) ) )
= $false )
| ( ( ! [SY2794: mworld] :
( ~ ( mrel @ SV629 @ SY2794 )
| ( member @ SV604 @ SV270 @ SY2794 ) ) )
= $true )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3031]) ).
thf(3124,plain,
! [SV578: $i,SV115: $i,SV270: $i,SV513: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV605: mworld] :
( ( ( ~ ( mrel @ SV605 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) ) )
= $false )
| ( ( ! [SY2785: mworld] :
( ~ ( mrel @ SV605 @ SY2785 )
| ( member @ SV578 @ SV270 @ SY2785 ) ) )
= $true )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3032]) ).
thf(3125,plain,
! [SV605: mworld,SV270: $i,SV513: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV115: $i,SV578: $i] :
( ( ( member @ SV578 @ SV115 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) )
= $false )
| ( ( ! [SY2785: mworld] :
( ~ ( mrel @ SV605 @ SY2785 )
| ( member @ SV578 @ SV270 @ SY2785 ) ) )
= $true )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3032]) ).
thf(3126,plain,
! [SV630: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV115: $i,SV687: mworld,SV396: mworld] :
( ( ( mrel @ SV396 @ SV687 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ SV687 )
= $true )
| ( ( member @ ( sK61_SY2702 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV115 @ SV630 )
= $true )
| ( ( mrel @ ( sK71_SY2719 @ SV396 @ SV115 @ SV270 @ SV194 @ SV33 ) @ SV630 )
= $false )
| ( ( mrel @ SV194 @ SV396 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3033]) ).
thf(3127,plain,
! [SV121: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV275: $i,SV400: $i,SV708: mworld,SV444: mworld] :
( ( ( ~ ( mrel @ SV444 @ SV708 ) )
= $true )
| ( ( subclass @ SV400 @ SV275 @ SV708 )
= $true )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( mrel @ SV444 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3035]) ).
thf(3128,plain,
! [SV121: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV275: $i,SV400: $i,SV688: mworld,SV444: mworld] :
( ( ( mrel @ SV444 @ SV688 )
= $false )
| ( ( subclass @ SV400 @ SV275 @ SV688 )
= $true )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( subclass @ SV400 @ SV121 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) )
= $false )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3036]) ).
thf(3129,plain,
! [SV339: mworld,SV200: mworld,SV39: mworld,SV121: $i,SV275: $i,SV400: $i,SV689: mworld,SV444: mworld] :
( ( ( mrel @ SV444 @ SV689 )
= $false )
| ( ( subclass @ SV400 @ SV275 @ SV689 )
= $true )
| ( ( qmltpeq @ SV121 @ SV275 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $false )
| ( ( mrel @ SV444 @ ( sK111_SY2559 @ SV339 @ SV200 @ SV39 @ SV275 @ SV121 @ SV400 @ SV444 ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3130,plain,
! [SV124: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV403: $i,SV278: $i,SV709: mworld,SV447: mworld] :
( ( ( ~ ( mrel @ SV447 @ SV709 ) )
= $true )
| ( ( member @ SV278 @ SV403 @ SV709 )
= $true )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( mrel @ SV447 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3039]) ).
thf(3131,plain,
! [SV124: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV403: $i,SV278: $i,SV690: mworld,SV447: mworld] :
( ( ( mrel @ SV447 @ SV690 )
= $false )
| ( ( member @ SV278 @ SV403 @ SV690 )
= $true )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( member @ SV124 @ SV403 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) )
= $false )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3040]) ).
thf(3132,plain,
! [SV342: mworld,SV203: mworld,SV42: mworld,SV124: $i,SV403: $i,SV278: $i,SV691: mworld,SV447: mworld] :
( ( ( mrel @ SV447 @ SV691 )
= $false )
| ( ( member @ SV278 @ SV403 @ SV691 )
= $true )
| ( ( qmltpeq @ SV124 @ SV278 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $false )
| ( ( mrel @ SV447 @ ( sK112_SY2566 @ SV342 @ SV203 @ SV42 @ SV278 @ SV403 @ SV124 @ SV447 ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3041]) ).
thf(3133,plain,
! [SV128: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV406: $i,SV281: $i,SV710: mworld,SV450: mworld] :
( ( ( ~ ( mrel @ SV450 @ SV710 ) )
= $true )
| ( ( disjoint @ SV281 @ SV406 @ SV710 )
= $true )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( mrel @ SV450 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3043]) ).
thf(3134,plain,
! [SV128: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV406: $i,SV281: $i,SV692: mworld,SV450: mworld] :
( ( ( mrel @ SV450 @ SV692 )
= $false )
| ( ( disjoint @ SV281 @ SV406 @ SV692 )
= $true )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( disjoint @ SV128 @ SV406 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) )
= $false )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3044]) ).
thf(3135,plain,
! [SV345: mworld,SV207: mworld,SV46: mworld,SV128: $i,SV406: $i,SV281: $i,SV693: mworld,SV450: mworld] :
( ( ( mrel @ SV450 @ SV693 )
= $false )
| ( ( disjoint @ SV281 @ SV406 @ SV693 )
= $true )
| ( ( qmltpeq @ SV128 @ SV281 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $false )
| ( ( mrel @ SV450 @ ( sK113_SY2571 @ SV345 @ SV207 @ SV46 @ SV281 @ SV406 @ SV128 @ SV450 ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3045]) ).
thf(3136,plain,
! [SV209: mworld,SV48: mworld,SV282: $i,SV130: $i,SV694: mworld,SV408: mworld] :
( ( ( mrel @ SV408 @ SV694 )
= $false )
| ( ( qmltpeq @ SV130 @ SV282 @ SV694 )
= $true )
| ( ( mrel @ SV408 @ ( sK74_SY2411 @ SV48 @ SV209 @ SV282 @ SV130 @ SV408 ) )
= $true )
| ( ( mrel @ SV408 @ ( sK114_SY2412 @ SV209 @ SV48 @ SV130 @ SV282 @ SV408 ) )
= $true )
| ( ( mrel @ SV209 @ SV408 )
= $false )
| ( ( mrel @ SV48 @ SV209 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3047]) ).
thf(3137,plain,
! [SV136: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV286: $i,SV409: $i,SV711: mworld,SV452: mworld] :
( ( ( ~ ( mrel @ SV452 @ SV711 ) )
= $true )
| ( ( disjoint @ SV409 @ SV286 @ SV711 )
= $true )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( mrel @ SV452 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3050]) ).
thf(3138,plain,
! [SV136: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV286: $i,SV409: $i,SV695: mworld,SV452: mworld] :
( ( ( mrel @ SV452 @ SV695 )
= $false )
| ( ( disjoint @ SV409 @ SV286 @ SV695 )
= $true )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( disjoint @ SV409 @ SV136 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) )
= $false )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3051]) ).
thf(3139,plain,
! [SV349: mworld,SV215: mworld,SV54: mworld,SV136: $i,SV286: $i,SV409: $i,SV696: mworld,SV452: mworld] :
( ( ( mrel @ SV452 @ SV696 )
= $false )
| ( ( disjoint @ SV409 @ SV286 @ SV696 )
= $true )
| ( ( qmltpeq @ SV136 @ SV286 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $false )
| ( ( mrel @ SV452 @ ( sK115_SY2577 @ SV349 @ SV215 @ SV54 @ SV286 @ SV136 @ SV409 @ SV452 ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3052]) ).
thf(3140,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV289: $i,SV138: $i,SV615: $i,SV633: mworld] :
( ( ( ~ ! [SY2795: mworld] :
( ~ ( mrel @ SV633 @ SY2795 )
| ( member @ SV615 @ SV138 @ SY2795 ) ) )
= $true )
| ( ( ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3054]) ).
thf(3141,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV289: $i,SV138: $i,SV587: $i,SV616: mworld] :
( ( ( ! [SY2789: mworld] :
( ~ ( mrel @ SV616 @ SY2789 )
| ( member @ SV587 @ SV138 @ SY2789 ) ) )
= $false )
| ( ( ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3055]) ).
thf(3142,plain,
! [SV667: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV718: mworld,SV411: mworld] :
( ( ( ~ ( mrel @ SV411 @ SV718 )
| ( disjoint @ SV138 @ SV289 @ SV718 ) )
= $true )
| ( ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SV667 )
= $true )
| ( ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV667 )
= $false )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3056]) ).
thf(3143,plain,
! [SV668: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV719: mworld,SV411: mworld] :
( ( ( ~ ( mrel @ SV411 @ SV719 )
| ( disjoint @ SV138 @ SV289 @ SV719 ) )
= $true )
| ( ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SV668 )
= $true )
| ( ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV668 )
= $false )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3057]) ).
thf(3144,plain,
! [SV290: $i,SV139: $i,SV57: mworld,SV217: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( ~ ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3060]) ).
thf(3145,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV413: mworld] :
( ( ( ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3061]) ).
thf(3146,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV413: mworld] :
( ( ( ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $false )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3062]) ).
thf(3147,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3063]) ).
thf(3148,plain,
! [SV291: $i,SV414: $i,SV350: mworld,SV218: mworld,SV58: mworld,SV140: $i,SV697: mworld,SV479: mworld] :
( ( ( mrel @ SV479 @ SV697 )
= $false )
| ( ( member @ SV140 @ universal_class @ SV697 )
= $true )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3149,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV712: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV712 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ SV712 )
= $true )
| ( ( ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) )
= $true )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3065]) ).
thf(3150,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV698: mworld,SV479: mworld] :
( ( ( mrel @ SV479 @ SV698 )
= $false )
| ( ( qmltpeq @ SV140 @ SV291 @ SV698 )
= $true )
| ( ( ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3067]) ).
thf(3151,plain,
! [SV140: $i,SV291: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
| ( qmltpeq @ SV140 @ SV291 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) ) )
= $false )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3068]) ).
thf(3152,plain,
! [SV140: $i,SV414: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV291: $i,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
| ( qmltpeq @ SV140 @ SV414 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) ) )
= $false )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3069]) ).
thf(3153,plain,
! [SV140: $i,SV291: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) ) )
= $false )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3070]) ).
thf(3154,plain,
! [SV480: mworld,SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV291: $i,SV140: $i] :
( ( ( qmltpeq @ SV140 @ SV291 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3070]) ).
thf(3155,plain,
! [SV140: $i,SV414: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV291: $i,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) ) )
= $false )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3071]) ).
thf(3156,plain,
! [SV480: mworld,SV58: mworld,SV218: mworld,SV350: mworld,SV291: $i,SV414: $i,SV140: $i] :
( ( ( qmltpeq @ SV140 @ SV414 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $false )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3071]) ).
thf(3157,plain,
! [SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV481: $i,SV416: $i,SV295: $i,SV538: mworld] :
( ( ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) ) )
= $false )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3072]) ).
thf(3158,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV538: mworld] :
( ( ( ~ ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) )
= $false )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3072]) ).
thf(3159,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV538: mworld] :
( ( ( ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3073]) ).
thf(3160,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV538: mworld] :
( ( ( ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3074]) ).
thf(3161,plain,
! [SV295: $i,SV416: $i,SV481: $i,SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) ) )
= $false )
| ( ( ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3075]) ).
thf(3162,plain,
! [SV539: mworld,SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV481: $i,SV416: $i,SV295: $i] :
( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3075]) ).
thf(3163,plain,
! [SV223: mworld,SV65: mworld,SV297: $i,SV146: $i,SV699: mworld,SV418: mworld] :
( ( ( mrel @ SV418 @ SV699 )
= $false )
| ( ( member @ ( ordered_pair @ SV146 @ SV297 ) @ element_relation @ SV699 )
= $true )
| ( ( mrel @ SV418 @ ( sK79_SY2464 @ SV65 @ SV223 @ SV146 @ SV297 @ SV418 ) )
= $true )
| ( ( mrel @ SV418 @ ( sK117_SY2465 @ SV223 @ SV65 @ SV297 @ SV146 @ SV418 ) )
= $true )
| ( ( mrel @ SV223 @ SV418 )
= $false )
| ( ( mrel @ SV65 @ SV223 )
= $false )
| ( ( mrel @ mactual @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3076]) ).
thf(3164,plain,
! [SV152: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV302: $i,SV423: $i,SV713: mworld,SV460: mworld] :
( ( ( ~ ( mrel @ SV460 @ SV713 ) )
= $true )
| ( ( member @ SV423 @ SV302 @ SV713 )
= $true )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( mrel @ SV460 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3079]) ).
thf(3165,plain,
! [SV152: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV302: $i,SV423: $i,SV700: mworld,SV460: mworld] :
( ( ( mrel @ SV460 @ SV700 )
= $false )
| ( ( member @ SV423 @ SV302 @ SV700 )
= $true )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( member @ SV423 @ SV152 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) )
= $false )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3080]) ).
thf(3166,plain,
! [SV358: mworld,SV229: mworld,SV71: mworld,SV152: $i,SV302: $i,SV423: $i,SV701: mworld,SV460: mworld] :
( ( ( mrel @ SV460 @ SV701 )
= $false )
| ( ( member @ SV423 @ SV302 @ SV701 )
= $true )
| ( ( qmltpeq @ SV152 @ SV302 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $false )
| ( ( mrel @ SV460 @ ( sK118_SY2599 @ SV358 @ SV229 @ SV71 @ SV302 @ SV152 @ SV423 @ SV460 ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3081]) ).
thf(3167,plain,
! [SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV425: $i,SV306: $i,SV157: $i,SV545: mworld] :
( ( ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) ) )
= $false )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3083]) ).
thf(3168,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV545: mworld] :
( ( ( ~ ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) )
= $false )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3083]) ).
thf(3169,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV545: mworld] :
( ( ( ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3084]) ).
thf(3170,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV545: mworld] :
( ( ( ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3085]) ).
thf(3171,plain,
! [SV157: $i,SV306: $i,SV425: $i,SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) ) )
= $false )
| ( ( ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3086]) ).
thf(3172,plain,
! [SV546: mworld,SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV425: $i,SV306: $i,SV157: $i] :
( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3086]) ).
thf(3173,plain,
! [SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV547: mworld] :
( ( ( ~ ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) ) )
= $false )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3087]) ).
thf(3174,plain,
! [SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV307: $i,SV484: $i,SV547: mworld] :
( ( ( ~ ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) )
= $false )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3087]) ).
thf(3175,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV547: mworld] :
( ( ( ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3088]) ).
thf(3176,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV426: $i,SV307: $i,SV484: $i,SV547: mworld] :
( ( ( ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3089]) ).
thf(3177,plain,
! [SV426: $i,SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) ) )
= $false )
| ( ( ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3090]) ).
thf(3178,plain,
! [SV548: mworld,SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i] :
( ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3090]) ).
thf(3179,plain,
! [SV308: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV549: mworld] :
( ( ( ~ ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) ) )
= $false )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3091]) ).
thf(3180,plain,
! [SV159: $i,SV427: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV549: mworld] :
( ( ( ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) )
= $false )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3091]) ).
thf(3181,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV549: mworld] :
( ( ( ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3092]) ).
thf(3182,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV485: $i,SV308: $i,SV549: mworld] :
( ( ( ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3093]) ).
thf(3183,plain,
! [SV159: $i,SV427: $i,SV308: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) ) )
= $false )
| ( ( ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3094]) ).
thf(3184,plain,
! [SV550: mworld,SV308: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i] :
( ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3094]) ).
thf(3185,plain,
! [SV310: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV161: $i,SV428: $i,SV702: mworld,SV487: mworld] :
( ( ( mrel @ SV487 @ SV702 )
= $false )
| ( ( member @ SV428 @ SV161 @ SV702 )
= $true )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3095]) ).
thf(3186,plain,
! [SV161: $i,SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV428: $i,SV703: mworld,SV487: mworld] :
( ( ( mrel @ SV487 @ SV703 )
= $false )
| ( ( member @ SV428 @ SV310 @ SV703 )
= $true )
| ( ( mrel @ SV487 @ ( sK93_SY2690 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV487 ) )
= $true )
| ( ( mrel @ SV366 @ SV487 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3096]) ).
thf(3187,plain,
! [SV428: $i,SV310: $i,SV80: mworld,SV238: mworld,SV366: mworld,SV161: $i,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) ) )
= $false )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3099]) ).
thf(3188,plain,
! [SV488: mworld,SV80: mworld,SV238: mworld,SV366: mworld,SV161: $i,SV310: $i,SV428: $i] :
( ( ( member @ SV428 @ SV310 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) )
= $false )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3099]) ).
thf(3189,plain,
! [SV428: $i,SV310: $i,SV161: $i,SV80: mworld,SV238: mworld,SV366: mworld,SV488: mworld] :
( ( ( mrel @ SV488 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) )
= $true )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3100]) ).
thf(3190,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV720: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ SV720 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV720 ) )
= $true )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( member @ SV428 @ SV310 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) )
= $false )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3101]) ).
thf(3191,plain,
! [SV678: mworld,SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV721: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ SV721 )
| ( member @ SV246 @ ( domain_of @ SV87 ) @ SV721 ) )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV678 )
= $true )
| ( ( mrel @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV678 )
= $false )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3104]) ).
thf(3192,plain,
! [SV651: mworld,SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV714: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ SV714 ) )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ SV714 )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV651 )
= $true )
| ( ( mrel @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV651 )
= $false )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3105]) ).
thf(3193,plain,
! [SV508: $i,SV170: mworld,SV8: mworld,SV250: $i,SV91: $i,SV722: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ SV722 )
| ( member @ SV91 @ ( sum_class @ SV250 ) @ SV722 ) )
= $true )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( mrel @ SV381 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3106]) ).
thf(3194,plain,
! [SV508: $i,SV170: mworld,SV8: mworld,SV250: $i,SV91: $i,SV715: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ SV715 ) )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ SV715 )
= $true )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( member @ SV508 @ SV250 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) )
= $false )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3107]) ).
thf(3195,plain,
! [SV170: mworld,SV8: mworld,SV508: $i,SV250: $i,SV91: $i,SV716: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ SV716 ) )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ SV716 )
= $true )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( mrel @ SV381 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3108]) ).
thf(3196,plain,
! [SV170: mworld,SV8: mworld,SV508: $i,SV250: $i,SV91: $i,SV704: mworld,SV381: mworld] :
( ( ( mrel @ SV381 @ SV704 )
= $false )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ SV704 )
= $true )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( member @ SV508 @ SV250 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) )
= $false )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3109]) ).
thf(3197,plain,
! [SV326: mworld,SV182: mworld,SV20: mworld,SV638: mworld,SV103: $i,SV259: $i,SV384: $i,SV705: mworld,SV471: mworld] :
( ( ( mrel @ SV471 @ SV705 )
= $false )
| ( ( member @ SV384 @ SV259 @ SV705 )
= $true )
| ( ( member @ SV384 @ SV103 @ SV638 )
= $true )
| ( ( mrel @ SV471 @ SV638 )
= $false )
| ( ( mrel @ SV471 @ ( sK82_SY2641 @ SV20 @ SV182 @ SV326 @ SV259 @ SV103 @ SV384 @ SV471 ) )
= $true )
| ( ( mrel @ SV326 @ SV471 )
= $false )
| ( ( mrel @ SV182 @ SV326 )
= $false )
| ( ( mrel @ SV20 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3198,plain,
! [SV108: $i,SV329: mworld,SV187: mworld,SV25: mworld,SV389: $i,SV263: $i,SV706: mworld,SV437: mworld] :
( ( ( mrel @ SV437 @ SV706 )
= $false )
| ( ( subclass @ SV263 @ SV389 @ SV706 )
= $true )
| ( ( mrel @ SV437 @ ( sK83_SY2544 @ SV25 @ SV187 @ SV329 @ SV389 @ SV263 @ SV108 @ SV437 ) )
= $true )
| ( ( mrel @ SV437 @ ( sK120_SY2545 @ SV263 @ SV329 @ SV187 @ SV25 @ SV389 @ SV108 @ SV437 ) )
= $true )
| ( ( mrel @ SV329 @ SV437 )
= $false )
| ( ( mrel @ SV187 @ SV329 )
= $false )
| ( ( mrel @ SV25 @ SV187 )
= $false )
| ( ( mrel @ mactual @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3113]) ).
thf(3199,plain,
! [SV684: mworld,SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV723: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ SV723 )
| ( member @ SV264 @ ( complement @ SV109 ) @ SV723 ) )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( member @ SV264 @ SV109 @ SV684 )
= $true )
| ( ( mrel @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV684 )
= $false )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3118]) ).
thf(3200,plain,
! [SV658: mworld,SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV717: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ SV717 ) )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ SV717 )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( member @ SV264 @ SV109 @ SV658 )
= $true )
| ( ( mrel @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV658 )
= $false )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3119]) ).
thf(3201,plain,
! [SV269: $i,SV334: mworld,SV193: mworld,SV32: mworld,SV394: $i,SV114: $i,SV707: mworld,SV440: mworld] :
( ( ( mrel @ SV440 @ SV707 )
= $false )
| ( ( qmltpeq @ SV114 @ SV394 @ SV707 )
= $true )
| ( ( mrel @ SV440 @ ( sK84_SY2551 @ SV32 @ SV193 @ SV334 @ SV394 @ SV269 @ SV114 @ SV440 ) )
= $true )
| ( ( mrel @ SV440 @ ( sK121_SY2552 @ SV114 @ SV334 @ SV193 @ SV32 @ SV394 @ SV269 @ SV440 ) )
= $true )
| ( ( mrel @ SV334 @ SV440 )
= $false )
| ( ( mrel @ SV193 @ SV334 )
= $false )
| ( ( mrel @ SV32 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3120]) ).
thf(3202,plain,
! [SV604: $i,SV115: $i,SV270: $i,SV527: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV629: mworld] :
( ( ( ~ ( mrel @ SV629 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) ) )
= $false )
| ( ( ! [SY2794: mworld] :
( ~ ( mrel @ SV629 @ SY2794 )
| ( member @ SV604 @ SV270 @ SY2794 ) ) )
= $true )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3123]) ).
thf(3203,plain,
! [SV629: mworld,SV270: $i,SV527: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV115: $i,SV604: $i] :
( ( ( member @ SV604 @ SV115 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) )
= $false )
| ( ( ! [SY2794: mworld] :
( ~ ( mrel @ SV629 @ SY2794 )
| ( member @ SV604 @ SV270 @ SY2794 ) ) )
= $true )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3123]) ).
thf(3204,plain,
! [SV578: $i,SV115: $i,SV270: $i,SV513: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV605: mworld] :
( ( ( mrel @ SV605 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) )
= $true )
| ( ( ! [SY2785: mworld] :
( ~ ( mrel @ SV605 @ SY2785 )
| ( member @ SV578 @ SV270 @ SY2785 ) ) )
= $true )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3124]) ).
thf(3205,plain,
! [SV513: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV115: $i,SV270: $i,SV578: $i,SV724: mworld,SV605: mworld] :
( ( ( ~ ( mrel @ SV605 @ SV724 )
| ( member @ SV578 @ SV270 @ SV724 ) )
= $true )
| ( ( member @ SV578 @ SV115 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) )
= $false )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3125]) ).
thf(3206,plain,
! [SV121: $i,SV339: mworld,SV200: mworld,SV39: mworld,SV275: $i,SV400: $i,SV708: mworld,SV444: mworld] :
( ( ( mrel @ SV444 @ SV708 )
= $false )
| ( ( subclass @ SV400 @ SV275 @ SV708 )
= $true )
| ( ( mrel @ SV444 @ ( sK86_SY2558 @ SV39 @ SV200 @ SV339 @ SV400 @ SV275 @ SV121 @ SV444 ) )
= $true )
| ( ( mrel @ SV444 @ ( sK122_SY2559 @ SV275 @ SV339 @ SV200 @ SV39 @ SV121 @ SV400 @ SV444 ) )
= $true )
| ( ( mrel @ SV339 @ SV444 )
= $false )
| ( ( mrel @ SV200 @ SV339 )
= $false )
| ( ( mrel @ SV39 @ SV200 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3127]) ).
thf(3207,plain,
! [SV124: $i,SV342: mworld,SV203: mworld,SV42: mworld,SV403: $i,SV278: $i,SV709: mworld,SV447: mworld] :
( ( ( mrel @ SV447 @ SV709 )
= $false )
| ( ( member @ SV278 @ SV403 @ SV709 )
= $true )
| ( ( mrel @ SV447 @ ( sK87_SY2565 @ SV42 @ SV203 @ SV342 @ SV403 @ SV278 @ SV124 @ SV447 ) )
= $true )
| ( ( mrel @ SV447 @ ( sK123_SY2566 @ SV278 @ SV342 @ SV203 @ SV42 @ SV403 @ SV124 @ SV447 ) )
= $true )
| ( ( mrel @ SV342 @ SV447 )
= $false )
| ( ( mrel @ SV203 @ SV342 )
= $false )
| ( ( mrel @ SV42 @ SV203 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3130]) ).
thf(3208,plain,
! [SV128: $i,SV345: mworld,SV207: mworld,SV46: mworld,SV406: $i,SV281: $i,SV710: mworld,SV450: mworld] :
( ( ( mrel @ SV450 @ SV710 )
= $false )
| ( ( disjoint @ SV281 @ SV406 @ SV710 )
= $true )
| ( ( mrel @ SV450 @ ( sK89_SY2570 @ SV46 @ SV207 @ SV345 @ SV406 @ SV281 @ SV128 @ SV450 ) )
= $true )
| ( ( mrel @ SV450 @ ( sK124_SY2571 @ SV281 @ SV345 @ SV207 @ SV46 @ SV406 @ SV128 @ SV450 ) )
= $true )
| ( ( mrel @ SV345 @ SV450 )
= $false )
| ( ( mrel @ SV207 @ SV345 )
= $false )
| ( ( mrel @ SV46 @ SV207 )
= $false )
| ( ( mrel @ mactual @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3133]) ).
thf(3209,plain,
! [SV136: $i,SV349: mworld,SV215: mworld,SV54: mworld,SV286: $i,SV409: $i,SV711: mworld,SV452: mworld] :
( ( ( mrel @ SV452 @ SV711 )
= $false )
| ( ( disjoint @ SV409 @ SV286 @ SV711 )
= $true )
| ( ( mrel @ SV452 @ ( sK90_SY2576 @ SV54 @ SV215 @ SV349 @ SV409 @ SV286 @ SV136 @ SV452 ) )
= $true )
| ( ( mrel @ SV452 @ ( sK125_SY2577 @ SV286 @ SV349 @ SV215 @ SV54 @ SV136 @ SV409 @ SV452 ) )
= $true )
| ( ( mrel @ SV349 @ SV452 )
= $false )
| ( ( mrel @ SV215 @ SV349 )
= $false )
| ( ( mrel @ SV54 @ SV215 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3137]) ).
thf(3210,plain,
! [SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV289: $i,SV138: $i,SV615: $i,SV633: mworld] :
( ( ( ! [SY2795: mworld] :
( ~ ( mrel @ SV633 @ SY2795 )
| ( member @ SV615 @ SV138 @ SY2795 ) ) )
= $false )
| ( ( ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3140]) ).
thf(3211,plain,
! [SV587: $i,SV138: $i,SV289: $i,SV517: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV616: mworld] :
( ( ( ~ ( mrel @ SV616 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
| ( member @ SV587 @ SV138 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) ) )
= $false )
| ( ( ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3141]) ).
thf(3212,plain,
! [SV667: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV718: mworld,SV411: mworld] :
( ( ( ~ ( mrel @ SV411 @ SV718 ) )
= $true )
| ( ( disjoint @ SV138 @ SV289 @ SV718 )
= $true )
| ( ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SV667 )
= $true )
| ( ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV667 )
= $false )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3142]) ).
thf(3213,plain,
! [SV668: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV719: mworld,SV411: mworld] :
( ( ( ~ ( mrel @ SV411 @ SV719 ) )
= $true )
| ( ( disjoint @ SV138 @ SV289 @ SV719 )
= $true )
| ( ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SV668 )
= $true )
| ( ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV668 )
= $false )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3143]) ).
thf(3214,plain,
! [SV57: mworld,SV217: mworld,SV290: $i,SV139: $i,SV413: mworld] :
( ( ( ! [SY2436: mworld] :
( ~ ( mrel @ SV413 @ SY2436 )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ SY2436 ) ) )
= $false )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3144]) ).
thf(3215,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3145]) ).
thf(3216,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) ) )
= $false )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3146]) ).
thf(3217,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3147]) ).
thf(3218,plain,
! [SV413: mworld,SV217: mworld,SV57: mworld,SV290: $i,SV139: $i] :
( ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3147]) ).
thf(3219,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV712: mworld,SV479: mworld] :
( ( ( mrel @ SV479 @ SV712 )
= $false )
| ( ( qmltpeq @ SV140 @ SV291 @ SV712 )
= $true )
| ( ( ! [SY2653: mworld] :
( ~ ( mrel @ SV479 @ SY2653 )
| ( qmltpeq @ SV140 @ SV414 @ SY2653 ) ) )
= $true )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3149]) ).
thf(3220,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV698: mworld,SV291: $i,SV414: $i,SV140: $i,SV725: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV725 )
| ( qmltpeq @ SV140 @ SV414 @ SV725 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ SV698 )
= $true )
| ( ( mrel @ SV479 @ SV698 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3150]) ).
thf(3221,plain,
! [SV140: $i,SV291: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) ) )
= $false )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3151]) ).
thf(3222,plain,
! [SV480: mworld,SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV291: $i,SV140: $i] :
( ( ( qmltpeq @ SV140 @ SV291 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3151]) ).
thf(3223,plain,
! [SV140: $i,SV414: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV291: $i,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) ) )
= $false )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3152]) ).
thf(3224,plain,
! [SV480: mworld,SV58: mworld,SV218: mworld,SV350: mworld,SV291: $i,SV414: $i,SV140: $i] :
( ( ( qmltpeq @ SV140 @ SV414 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3152]) ).
thf(3225,plain,
! [SV140: $i,SV291: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV480: mworld] :
( ( ( mrel @ SV480 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3153]) ).
thf(3226,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV726: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV726 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV726 ) )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( qmltpeq @ SV140 @ SV291 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3154]) ).
thf(3227,plain,
! [SV140: $i,SV414: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV291: $i,SV480: mworld] :
( ( ( mrel @ SV480 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3155]) ).
thf(3228,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV727: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV727 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV727 ) )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( qmltpeq @ SV140 @ SV414 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3156]) ).
thf(3229,plain,
! [SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV481: $i,SV416: $i,SV295: $i,SV538: mworld] :
( ( ( ! [SY2744: mworld] :
( ~ ( mrel @ SV538 @ SY2744 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2744 ) ) )
= $true )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3157]) ).
thf(3230,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV538: mworld] :
( ( ( ! [SY2745: mworld] :
( ~ ( mrel @ SV538 @ SY2745 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2745 ) ) )
= $true )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3158]) ).
thf(3231,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV728: mworld,SV538: mworld] :
( ( ( ~ ( mrel @ SV538 @ SV728 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV728 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3159]) ).
thf(3232,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV729: mworld,SV538: mworld] :
( ( ( ~ ( mrel @ SV538 @ SV729 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SV729 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3160]) ).
thf(3233,plain,
! [SV295: $i,SV416: $i,SV481: $i,SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV539: mworld] :
( ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( ~ ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3161]) ).
thf(3234,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV539: mworld] :
( ( ( ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3162]) ).
thf(3235,plain,
! [SV152: $i,SV358: mworld,SV229: mworld,SV71: mworld,SV302: $i,SV423: $i,SV713: mworld,SV460: mworld] :
( ( ( mrel @ SV460 @ SV713 )
= $false )
| ( ( member @ SV423 @ SV302 @ SV713 )
= $true )
| ( ( mrel @ SV460 @ ( sK92_SY2598 @ SV71 @ SV229 @ SV358 @ SV423 @ SV302 @ SV152 @ SV460 ) )
= $true )
| ( ( mrel @ SV460 @ ( sK127_SY2599 @ SV302 @ SV358 @ SV229 @ SV71 @ SV152 @ SV423 @ SV460 ) )
= $true )
| ( ( mrel @ SV358 @ SV460 )
= $false )
| ( ( mrel @ SV229 @ SV358 )
= $false )
| ( ( mrel @ SV71 @ SV229 )
= $false )
| ( ( mrel @ mactual @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3164]) ).
thf(3236,plain,
! [SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV425: $i,SV306: $i,SV157: $i,SV545: mworld] :
( ( ( ! [SY2750: mworld] :
( ~ ( mrel @ SV545 @ SY2750 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SY2750 ) ) )
= $true )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3167]) ).
thf(3237,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV545: mworld] :
( ( ( ! [SY2751: mworld] :
( ~ ( mrel @ SV545 @ SY2751 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2751 ) ) )
= $true )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3168]) ).
thf(3238,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV730: mworld,SV545: mworld] :
( ( ( ~ ( mrel @ SV545 @ SV730 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV730 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3169]) ).
thf(3239,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV731: mworld,SV545: mworld] :
( ( ( ~ ( mrel @ SV545 @ SV731 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SV731 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3170]) ).
thf(3240,plain,
! [SV157: $i,SV306: $i,SV425: $i,SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV546: mworld] :
( ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3171]) ).
thf(3241,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV546: mworld] :
( ( ( ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3172]) ).
thf(3242,plain,
! [SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV547: mworld] :
( ( ( ! [SY2756: mworld] :
( ~ ( mrel @ SV547 @ SY2756 )
| ( member @ SV426 @ universal_class @ SY2756 ) ) )
= $true )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3173]) ).
thf(3243,plain,
! [SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV307: $i,SV484: $i,SV547: mworld] :
( ( ( ! [SY2757: mworld] :
( ~ ( mrel @ SV547 @ SY2757 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2757 ) ) )
= $true )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3174]) ).
thf(3244,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV732: mworld,SV547: mworld] :
( ( ( ~ ( mrel @ SV547 @ SV732 )
| ( member @ SV426 @ universal_class @ SV732 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3175]) ).
thf(3245,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV426: $i,SV307: $i,SV484: $i,SV733: mworld,SV547: mworld] :
( ( ( ~ ( mrel @ SV547 @ SV733 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SV733 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3176]) ).
thf(3246,plain,
! [SV426: $i,SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV548: mworld] :
( ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( ~ ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3177]) ).
thf(3247,plain,
! [SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV307: $i,SV484: $i,SV548: mworld] :
( ( ( ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
= $false )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3178]) ).
thf(3248,plain,
! [SV308: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV549: mworld] :
( ( ( ! [SY2762: mworld] :
( ~ ( mrel @ SV549 @ SY2762 )
| ( member @ SV159 @ SV427 @ SY2762 ) ) )
= $true )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3179]) ).
thf(3249,plain,
! [SV159: $i,SV427: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV549: mworld] :
( ( ( ! [SY2763: mworld] :
( ~ ( mrel @ SV549 @ SY2763 )
| ( member @ SV308 @ SV485 @ SY2763 ) ) )
= $true )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3180]) ).
thf(3250,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV734: mworld,SV549: mworld] :
( ( ( ~ ( mrel @ SV549 @ SV734 )
| ( member @ SV159 @ SV427 @ SV734 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3181]) ).
thf(3251,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV485: $i,SV308: $i,SV735: mworld,SV549: mworld] :
( ( ( ~ ( mrel @ SV549 @ SV735 )
| ( member @ SV308 @ SV485 @ SV735 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3182]) ).
thf(3252,plain,
! [SV159: $i,SV427: $i,SV308: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV550: mworld] :
( ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3183]) ).
thf(3253,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV485: $i,SV308: $i,SV550: mworld] :
( ( ( ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
= $false )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3184]) ).
thf(3254,plain,
! [SV428: $i,SV310: $i,SV80: mworld,SV238: mworld,SV366: mworld,SV161: $i,SV488: mworld] :
( ( ( mrel @ SV488 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) )
= $true )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( ! [SY2695: mworld] :
( ~ ( mrel @ SV488 @ SY2695 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SY2695 ) ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3187]) ).
thf(3255,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV736: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ SV736 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV736 ) )
= $true )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( member @ SV428 @ SV310 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) )
= $false )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3188]) ).
thf(3256,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV737: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ SV737 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV737 ) )
= $true )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( mrel @ SV488 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3189]) ).
thf(3257,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV720: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ SV720 ) )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV720 )
= $true )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( member @ SV428 @ SV310 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) )
= $false )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3190]) ).
thf(3258,plain,
! [SV678: mworld,SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV721: mworld,SV376: mworld] :
( ( ( ~ ( mrel @ SV376 @ SV721 ) )
= $true )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ SV721 )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV678 )
= $true )
| ( ( mrel @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV678 )
= $false )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3191]) ).
thf(3259,plain,
! [SV651: mworld,SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV714: mworld,SV376: mworld] :
( ( ( mrel @ SV376 @ SV714 )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ SV714 )
= $true )
| ( ( member @ SV246 @ universal_class @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $false )
| ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV651 )
= $true )
| ( ( mrel @ ( sK99_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV651 )
= $false )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3192]) ).
thf(3260,plain,
! [SV508: $i,SV170: mworld,SV8: mworld,SV250: $i,SV91: $i,SV722: mworld,SV381: mworld] :
( ( ( ~ ( mrel @ SV381 @ SV722 ) )
= $true )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ SV722 )
= $true )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( mrel @ SV381 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3193]) ).
thf(3261,plain,
! [SV508: $i,SV170: mworld,SV8: mworld,SV250: $i,SV91: $i,SV715: mworld,SV381: mworld] :
( ( ( mrel @ SV381 @ SV715 )
= $false )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ SV715 )
= $true )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( member @ SV508 @ SV250 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) )
= $false )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3194]) ).
thf(3262,plain,
! [SV170: mworld,SV8: mworld,SV508: $i,SV250: $i,SV91: $i,SV716: mworld,SV381: mworld] :
( ( ( mrel @ SV381 @ SV716 )
= $false )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ SV716 )
= $true )
| ( ( member @ SV91 @ SV508 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $false )
| ( ( mrel @ SV381 @ ( sK132_SY2714 @ SV170 @ SV8 @ SV91 @ SV250 @ SV508 @ SV381 ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3195]) ).
thf(3263,plain,
! [SV684: mworld,SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV723: mworld,SV391: mworld] :
( ( ( ~ ( mrel @ SV391 @ SV723 ) )
= $true )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ SV723 )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( member @ SV264 @ SV109 @ SV684 )
= $true )
| ( ( mrel @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV684 )
= $false )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3199]) ).
thf(3264,plain,
! [SV658: mworld,SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV717: mworld,SV391: mworld] :
( ( ( mrel @ SV391 @ SV717 )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ SV717 )
= $true )
| ( ( member @ SV264 @ universal_class @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $false )
| ( ( member @ SV264 @ SV109 @ SV658 )
= $true )
| ( ( mrel @ ( sK102_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV658 )
= $false )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3200]) ).
thf(3265,plain,
! [SV604: $i,SV115: $i,SV270: $i,SV527: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV629: mworld] :
( ( ( mrel @ SV629 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) )
= $true )
| ( ( ! [SY2794: mworld] :
( ~ ( mrel @ SV629 @ SY2794 )
| ( member @ SV604 @ SV270 @ SY2794 ) ) )
= $true )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3202]) ).
thf(3266,plain,
! [SV527: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV115: $i,SV270: $i,SV604: $i,SV738: mworld,SV629: mworld] :
( ( ( ~ ( mrel @ SV629 @ SV738 )
| ( member @ SV604 @ SV270 @ SV738 ) )
= $true )
| ( ( member @ SV604 @ SV115 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) )
= $false )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3203]) ).
thf(3267,plain,
! [SV115: $i,SV513: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV578: $i,SV739: mworld,SV605: mworld] :
( ( ( ~ ( mrel @ SV605 @ SV739 )
| ( member @ SV578 @ SV270 @ SV739 ) )
= $true )
| ( ( mrel @ SV605 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) )
= $true )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3204]) ).
thf(3268,plain,
! [SV513: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV115: $i,SV270: $i,SV578: $i,SV724: mworld,SV605: mworld] :
( ( ( ~ ( mrel @ SV605 @ SV724 ) )
= $true )
| ( ( member @ SV578 @ SV270 @ SV724 )
= $true )
| ( ( member @ SV578 @ SV115 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) )
= $false )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3205]) ).
thf(3269,plain,
! [SV615: $i,SV138: $i,SV289: $i,SV535: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV633: mworld] :
( ( ( ~ ( mrel @ SV633 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
| ( member @ SV615 @ SV138 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) ) )
= $false )
| ( ( ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3210]) ).
thf(3270,plain,
! [SV587: $i,SV138: $i,SV289: $i,SV517: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV616: mworld] :
( ( ( ~ ( mrel @ SV616 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) ) )
= $false )
| ( ( ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3211]) ).
thf(3271,plain,
! [SV616: mworld,SV289: $i,SV517: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV138: $i,SV587: $i] :
( ( ( member @ SV587 @ SV138 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $false )
| ( ( ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3211]) ).
thf(3272,plain,
! [SV667: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV718: mworld,SV411: mworld] :
( ( ( mrel @ SV411 @ SV718 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ SV718 )
= $true )
| ( ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV138 @ SV667 )
= $true )
| ( ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV667 )
= $false )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3212]) ).
thf(3273,plain,
! [SV668: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV138: $i,SV719: mworld,SV411: mworld] :
( ( ( mrel @ SV411 @ SV719 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ SV719 )
= $true )
| ( ( member @ ( sK64_SY2706 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV289 @ SV668 )
= $true )
| ( ( mrel @ ( sK76_SY2726 @ SV411 @ SV138 @ SV289 @ SV216 @ SV56 ) @ SV668 )
= $false )
| ( ( mrel @ SV216 @ SV411 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3213]) ).
thf(3274,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
| ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) ) )
= $false )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3214]) ).
thf(3275,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3215]) ).
thf(3276,plain,
! [SV413: mworld,SV217: mworld,SV57: mworld,SV290: $i,SV139: $i] :
( ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3215]) ).
thf(3277,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) ) )
= $false )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3216]) ).
thf(3278,plain,
! [SV413: mworld,SV217: mworld,SV57: mworld,SV290: $i,SV139: $i] :
( ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3216]) ).
thf(3279,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3217]) ).
thf(3280,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV740: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV740 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV740 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3218]) ).
thf(3281,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV712: mworld,SV291: $i,SV414: $i,SV140: $i,SV741: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV741 )
| ( qmltpeq @ SV140 @ SV414 @ SV741 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ SV712 )
= $true )
| ( ( mrel @ SV479 @ SV712 )
= $false )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3219]) ).
thf(3282,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV698: mworld,SV291: $i,SV414: $i,SV140: $i,SV725: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV725 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV414 @ SV725 )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ SV698 )
= $true )
| ( ( mrel @ SV479 @ SV698 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3220]) ).
thf(3283,plain,
! [SV140: $i,SV291: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV414: $i,SV480: mworld] :
( ( ( mrel @ SV480 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3221]) ).
thf(3284,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV742: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV742 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV742 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3222]) ).
thf(3285,plain,
! [SV140: $i,SV414: $i,SV58: mworld,SV218: mworld,SV350: mworld,SV291: $i,SV480: mworld] :
( ( ( mrel @ SV480 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV480 @ SY2657 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SY2657 ) ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3223]) ).
thf(3286,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV743: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV743 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV743 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV414 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3224]) ).
thf(3287,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV744: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV744 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV744 ) )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV480 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3225]) ).
thf(3288,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV726: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV726 ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV726 )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( qmltpeq @ SV140 @ SV291 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3226]) ).
thf(3289,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV745: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV745 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV745 ) )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV480 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3227]) ).
thf(3290,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV727: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV727 ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV727 )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( qmltpeq @ SV140 @ SV414 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3228]) ).
thf(3291,plain,
! [SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV481: $i,SV416: $i,SV295: $i,SV746: mworld,SV538: mworld] :
( ( ( ~ ( mrel @ SV538 @ SV746 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV746 ) )
= $true )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3229]) ).
thf(3292,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV747: mworld,SV538: mworld] :
( ( ( ~ ( mrel @ SV538 @ SV747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SV747 ) )
= $true )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3230]) ).
thf(3293,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV728: mworld,SV538: mworld] :
( ( ( ~ ( mrel @ SV538 @ SV728 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV728 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3231]) ).
thf(3294,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV729: mworld,SV538: mworld] :
( ( ( ~ ( mrel @ SV538 @ SV729 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SV729 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3232]) ).
thf(3295,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV539: mworld] :
( ( ( ! [SY2747: mworld] :
( ~ ( mrel @ SV539 @ SY2747 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SY2747 ) ) )
= $false )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3233]) ).
thf(3296,plain,
! [SV416: $i,SV481: $i,SV295: $i,SV143: $i,SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3234]) ).
thf(3297,plain,
! [SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV425: $i,SV306: $i,SV157: $i,SV748: mworld,SV545: mworld] :
( ( ( ~ ( mrel @ SV545 @ SV748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV748 ) )
= $true )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3236]) ).
thf(3298,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV749: mworld,SV545: mworld] :
( ( ( ~ ( mrel @ SV545 @ SV749 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SV749 ) )
= $true )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3237]) ).
thf(3299,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV730: mworld,SV545: mworld] :
( ( ( ~ ( mrel @ SV545 @ SV730 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV730 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3238]) ).
thf(3300,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV731: mworld,SV545: mworld] :
( ( ( ~ ( mrel @ SV545 @ SV731 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SV731 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3239]) ).
thf(3301,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV546: mworld] :
( ( ( ! [SY2753: mworld] :
( ~ ( mrel @ SV546 @ SY2753 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SY2753 ) ) )
= $false )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3240]) ).
thf(3302,plain,
! [SV306: $i,SV157: $i,SV425: $i,SV483: $i,SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3241]) ).
thf(3303,plain,
! [SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV750: mworld,SV547: mworld] :
( ( ( ~ ( mrel @ SV547 @ SV750 )
| ( member @ SV426 @ universal_class @ SV750 ) )
= $true )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3242]) ).
thf(3304,plain,
! [SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV307: $i,SV484: $i,SV751: mworld,SV547: mworld] :
( ( ( ~ ( mrel @ SV547 @ SV751 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SV751 ) )
= $true )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3243]) ).
thf(3305,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV732: mworld,SV547: mworld] :
( ( ( ~ ( mrel @ SV547 @ SV732 ) )
= $true )
| ( ( member @ SV426 @ universal_class @ SV732 )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3244]) ).
thf(3306,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV426: $i,SV307: $i,SV484: $i,SV733: mworld,SV547: mworld] :
( ( ( ~ ( mrel @ SV547 @ SV733 ) )
= $true )
| ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SV733 )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3245]) ).
thf(3307,plain,
! [SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV307: $i,SV484: $i,SV548: mworld] :
( ( ( ! [SY2759: mworld] :
( ~ ( mrel @ SV548 @ SY2759 )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SY2759 ) ) )
= $false )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3246]) ).
thf(3308,plain,
! [SV484: $i,SV307: $i,SV426: $i,SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) ) )
= $false )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3247]) ).
thf(3309,plain,
! [SV308: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV752: mworld,SV549: mworld] :
( ( ( ~ ( mrel @ SV549 @ SV752 )
| ( member @ SV159 @ SV427 @ SV752 ) )
= $true )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3248]) ).
thf(3310,plain,
! [SV159: $i,SV427: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV753: mworld,SV549: mworld] :
( ( ( ~ ( mrel @ SV549 @ SV753 )
| ( member @ SV308 @ SV485 @ SV753 ) )
= $true )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3249]) ).
thf(3311,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV734: mworld,SV549: mworld] :
( ( ( ~ ( mrel @ SV549 @ SV734 ) )
= $true )
| ( ( member @ SV159 @ SV427 @ SV734 )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3250]) ).
thf(3312,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV485: $i,SV308: $i,SV735: mworld,SV549: mworld] :
( ( ( ~ ( mrel @ SV549 @ SV735 ) )
= $true )
| ( ( member @ SV308 @ SV485 @ SV735 )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3251]) ).
thf(3313,plain,
! [SV159: $i,SV427: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV550: mworld] :
( ( ( ! [SY2765: mworld] :
( ~ ( mrel @ SV550 @ SY2765 )
| ( member @ SV308 @ SV485 @ SY2765 ) ) )
= $false )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3252]) ).
thf(3314,plain,
! [SV308: $i,SV485: $i,SV159: $i,SV427: $i,SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) )
| ( member @ SV308 @ SV485 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) ) )
= $false )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3253]) ).
thf(3315,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV754: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ SV754 )
| ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV754 ) )
= $true )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( mrel @ SV488 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3254]) ).
thf(3316,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV736: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ SV736 ) )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV736 )
= $true )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( member @ SV428 @ SV310 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) )
= $false )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3255]) ).
thf(3317,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV737: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ SV737 ) )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV737 )
= $true )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( mrel @ SV488 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3256]) ).
thf(3318,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV720: mworld,SV488: mworld] :
( ( ( mrel @ SV488 @ SV720 )
= $false )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV720 )
= $true )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( member @ SV428 @ SV310 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) )
= $false )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3257]) ).
thf(3319,plain,
! [SV678: mworld,SV166: mworld,SV4: mworld,SV87: $i,SV246: $i,SV721: mworld,SV376: mworld] :
( ( ( mrel @ SV376 @ SV721 )
= $false )
| ( ( member @ SV246 @ ( domain_of @ SV87 ) @ SV721 )
= $true )
| ( ( mrel @ SV376 @ ( sK66_SY2298 @ SV4 @ SV166 @ SV87 @ SV246 @ SV376 ) )
= $true )
| ( ( qmltpeq @ ( restrict @ SV87 @ ( singleton @ SV246 ) @ universal_class ) @ null_class @ SV678 )
= $true )
| ( ( mrel @ ( sK106_SY2299 @ SV166 @ SV4 @ SV246 @ SV87 @ SV376 ) @ SV678 )
= $false )
| ( ( mrel @ SV166 @ SV376 )
= $false )
| ( ( mrel @ SV4 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3258]) ).
thf(3320,plain,
! [SV508: $i,SV170: mworld,SV8: mworld,SV250: $i,SV91: $i,SV722: mworld,SV381: mworld] :
( ( ( mrel @ SV381 @ SV722 )
= $false )
| ( ( member @ SV91 @ ( sum_class @ SV250 ) @ SV722 )
= $true )
| ( ( mrel @ SV381 @ ( sK100_SY2713 @ SV8 @ SV170 @ SV250 @ SV508 @ SV91 @ SV381 ) )
= $true )
| ( ( mrel @ SV381 @ ( sK136_SY2714 @ SV91 @ SV170 @ SV8 @ SV250 @ SV508 @ SV381 ) )
= $true )
| ( ( mrel @ SV170 @ SV381 )
= $false )
| ( ( mrel @ SV8 @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3260]) ).
thf(3321,plain,
! [SV684: mworld,SV188: mworld,SV26: mworld,SV109: $i,SV264: $i,SV723: mworld,SV391: mworld] :
( ( ( mrel @ SV391 @ SV723 )
= $false )
| ( ( member @ SV264 @ ( complement @ SV109 ) @ SV723 )
= $true )
| ( ( mrel @ SV391 @ ( sK70_SY2355 @ SV26 @ SV188 @ SV109 @ SV264 @ SV391 ) )
= $true )
| ( ( member @ SV264 @ SV109 @ SV684 )
= $true )
| ( ( mrel @ ( sK109_SY2356 @ SV188 @ SV26 @ SV109 @ SV264 @ SV391 ) @ SV684 )
= $false )
| ( ( mrel @ SV188 @ SV391 )
= $false )
| ( ( mrel @ SV26 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3263]) ).
thf(3322,plain,
! [SV115: $i,SV527: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV604: $i,SV755: mworld,SV629: mworld] :
( ( ( ~ ( mrel @ SV629 @ SV755 )
| ( member @ SV604 @ SV270 @ SV755 ) )
= $true )
| ( ( mrel @ SV629 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) )
= $true )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3265]) ).
thf(3323,plain,
! [SV527: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV115: $i,SV270: $i,SV604: $i,SV738: mworld,SV629: mworld] :
( ( ( ~ ( mrel @ SV629 @ SV738 ) )
= $true )
| ( ( member @ SV604 @ SV270 @ SV738 )
= $true )
| ( ( member @ SV604 @ SV115 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) )
= $false )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3266]) ).
thf(3324,plain,
! [SV115: $i,SV513: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV578: $i,SV739: mworld,SV605: mworld] :
( ( ( ~ ( mrel @ SV605 @ SV739 ) )
= $true )
| ( ( member @ SV578 @ SV270 @ SV739 )
= $true )
| ( ( mrel @ SV605 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) )
= $true )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3267]) ).
thf(3325,plain,
! [SV513: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV115: $i,SV270: $i,SV578: $i,SV724: mworld,SV605: mworld] :
( ( ( mrel @ SV605 @ SV724 )
= $false )
| ( ( member @ SV578 @ SV270 @ SV724 )
= $true )
| ( ( member @ SV578 @ SV115 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) )
= $false )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3268]) ).
thf(3326,plain,
! [SV615: $i,SV138: $i,SV289: $i,SV535: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV633: mworld] :
( ( ( ~ ( mrel @ SV633 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) ) )
= $false )
| ( ( ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3269]) ).
thf(3327,plain,
! [SV633: mworld,SV289: $i,SV535: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV138: $i,SV615: $i] :
( ( ( member @ SV615 @ SV138 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $false )
| ( ( ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3269]) ).
thf(3328,plain,
! [SV587: $i,SV138: $i,SV289: $i,SV517: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV616: mworld] :
( ( ( mrel @ SV616 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $true )
| ( ( ~ ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3270]) ).
thf(3329,plain,
! [SV517: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV138: $i,SV289: $i,SV587: $i,SV616: mworld] :
( ( ( ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) )
= $false )
| ( ( member @ SV587 @ SV138 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $false )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3271]) ).
thf(3330,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) ) )
= $false )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3274]) ).
thf(3331,plain,
! [SV413: mworld,SV217: mworld,SV57: mworld,SV290: $i,SV139: $i] :
( ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3274]) ).
thf(3332,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3275]) ).
thf(3333,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV756: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV756 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV756 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3276]) ).
thf(3334,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3277]) ).
thf(3335,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV757: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV757 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV757 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3278]) ).
thf(3336,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV758: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV758 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV758 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3279]) ).
thf(3337,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV740: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV740 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV740 )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3280]) ).
thf(3338,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV712: mworld,SV291: $i,SV414: $i,SV140: $i,SV741: mworld,SV479: mworld] :
( ( ( ~ ( mrel @ SV479 @ SV741 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV414 @ SV741 )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ SV712 )
= $true )
| ( ( mrel @ SV479 @ SV712 )
= $false )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3281]) ).
thf(3339,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV698: mworld,SV291: $i,SV414: $i,SV140: $i,SV725: mworld,SV479: mworld] :
( ( ( mrel @ SV479 @ SV725 )
= $false )
| ( ( qmltpeq @ SV140 @ SV414 @ SV725 )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ SV698 )
= $true )
| ( ( mrel @ SV479 @ SV698 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $false )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3282]) ).
thf(3340,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV759: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV759 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV759 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3283]) ).
thf(3341,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV742: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV742 ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV742 )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3284]) ).
thf(3342,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV760: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV760 )
| ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV760 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3285]) ).
thf(3343,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV743: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV743 ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV743 )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV414 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3286]) ).
thf(3344,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV744: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV744 ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV744 )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV480 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3287]) ).
thf(3345,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV726: mworld,SV480: mworld] :
( ( ( mrel @ SV480 @ SV726 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV726 )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( qmltpeq @ SV140 @ SV291 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3288]) ).
thf(3346,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV745: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV745 ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV745 )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV480 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3289]) ).
thf(3347,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV727: mworld,SV480: mworld] :
( ( ( mrel @ SV480 @ SV727 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV727 )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( qmltpeq @ SV140 @ SV414 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3290]) ).
thf(3348,plain,
! [SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV481: $i,SV416: $i,SV295: $i,SV746: mworld,SV538: mworld] :
( ( ( ~ ( mrel @ SV538 @ SV746 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV746 )
= $true )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3291]) ).
thf(3349,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV747: mworld,SV538: mworld] :
( ( ( ~ ( mrel @ SV538 @ SV747 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SV747 )
= $true )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3292]) ).
thf(3350,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV728: mworld,SV538: mworld] :
( ( ( mrel @ SV538 @ SV728 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV728 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3293]) ).
thf(3351,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV729: mworld,SV538: mworld] :
( ( ( mrel @ SV538 @ SV729 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SV729 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $false )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3294]) ).
thf(3352,plain,
! [SV416: $i,SV481: $i,SV295: $i,SV143: $i,SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) ) )
= $false )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3295]) ).
thf(3353,plain,
! [SV416: $i,SV481: $i,SV295: $i,SV143: $i,SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3296]) ).
thf(3354,plain,
! [SV539: mworld,SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i] :
( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3296]) ).
thf(3355,plain,
! [SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV425: $i,SV306: $i,SV157: $i,SV748: mworld,SV545: mworld] :
( ( ( ~ ( mrel @ SV545 @ SV748 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV748 )
= $true )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3297]) ).
thf(3356,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV749: mworld,SV545: mworld] :
( ( ( ~ ( mrel @ SV545 @ SV749 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SV749 )
= $true )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3298]) ).
thf(3357,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV730: mworld,SV545: mworld] :
( ( ( mrel @ SV545 @ SV730 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV730 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3299]) ).
thf(3358,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV731: mworld,SV545: mworld] :
( ( ( mrel @ SV545 @ SV731 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SV731 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $false )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3300]) ).
thf(3359,plain,
! [SV306: $i,SV157: $i,SV425: $i,SV483: $i,SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) ) )
= $false )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3301]) ).
thf(3360,plain,
! [SV306: $i,SV157: $i,SV425: $i,SV483: $i,SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3302]) ).
thf(3361,plain,
! [SV546: mworld,SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i] :
( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3302]) ).
thf(3362,plain,
! [SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV750: mworld,SV547: mworld] :
( ( ( ~ ( mrel @ SV547 @ SV750 ) )
= $true )
| ( ( member @ SV426 @ universal_class @ SV750 )
= $true )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3303]) ).
thf(3363,plain,
! [SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV307: $i,SV484: $i,SV751: mworld,SV547: mworld] :
( ( ( ~ ( mrel @ SV547 @ SV751 ) )
= $true )
| ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SV751 )
= $true )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3304]) ).
thf(3364,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV732: mworld,SV547: mworld] :
( ( ( mrel @ SV547 @ SV732 )
= $false )
| ( ( member @ SV426 @ universal_class @ SV732 )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3305]) ).
thf(3365,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV426: $i,SV307: $i,SV484: $i,SV733: mworld,SV547: mworld] :
( ( ( mrel @ SV547 @ SV733 )
= $false )
| ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SV733 )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $false )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3306]) ).
thf(3366,plain,
! [SV484: $i,SV307: $i,SV426: $i,SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
| ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) ) )
= $false )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3307]) ).
thf(3367,plain,
! [SV484: $i,SV307: $i,SV426: $i,SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) ) )
= $false )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3308]) ).
thf(3368,plain,
! [SV548: mworld,SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV426: $i,SV307: $i,SV484: $i] :
( ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $false )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3308]) ).
thf(3369,plain,
! [SV308: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV752: mworld,SV549: mworld] :
( ( ( ~ ( mrel @ SV549 @ SV752 ) )
= $true )
| ( ( member @ SV159 @ SV427 @ SV752 )
= $true )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3309]) ).
thf(3370,plain,
! [SV159: $i,SV427: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV753: mworld,SV549: mworld] :
( ( ( ~ ( mrel @ SV549 @ SV753 ) )
= $true )
| ( ( member @ SV308 @ SV485 @ SV753 )
= $true )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3310]) ).
thf(3371,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV427: $i,SV159: $i,SV734: mworld,SV549: mworld] :
( ( ( mrel @ SV549 @ SV734 )
= $false )
| ( ( member @ SV159 @ SV427 @ SV734 )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3311]) ).
thf(3372,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV485: $i,SV308: $i,SV735: mworld,SV549: mworld] :
( ( ( mrel @ SV549 @ SV735 )
= $false )
| ( ( member @ SV308 @ SV485 @ SV735 )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $false )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3312]) ).
thf(3373,plain,
! [SV308: $i,SV485: $i,SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV427: $i,SV159: $i,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) )
| ( member @ SV308 @ SV485 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) ) )
= $false )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3313]) ).
thf(3374,plain,
! [SV308: $i,SV485: $i,SV159: $i,SV427: $i,SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) ) )
= $false )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3314]) ).
thf(3375,plain,
! [SV550: mworld,SV159: $i,SV427: $i,SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV485: $i,SV308: $i] :
( ( ( member @ SV308 @ SV485 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) )
= $false )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3314]) ).
thf(3376,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV754: mworld,SV488: mworld] :
( ( ( ~ ( mrel @ SV488 @ SV754 ) )
= $true )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV754 )
= $true )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( mrel @ SV488 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3315]) ).
thf(3377,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV736: mworld,SV488: mworld] :
( ( ( mrel @ SV488 @ SV736 )
= $false )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV736 )
= $true )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( member @ SV428 @ SV310 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) )
= $false )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3316]) ).
thf(3378,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV737: mworld,SV488: mworld] :
( ( ( mrel @ SV488 @ SV737 )
= $false )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV737 )
= $true )
| ( ( member @ SV428 @ SV161 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $false )
| ( ( mrel @ SV488 @ ( sK139_SY2694 @ SV366 @ SV238 @ SV80 @ SV161 @ SV310 @ SV428 @ SV488 ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3317]) ).
thf(3379,plain,
! [SV115: $i,SV527: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV604: $i,SV755: mworld,SV629: mworld] :
( ( ( ~ ( mrel @ SV629 @ SV755 ) )
= $true )
| ( ( member @ SV604 @ SV270 @ SV755 )
= $true )
| ( ( mrel @ SV629 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) )
= $true )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3322]) ).
thf(3380,plain,
! [SV527: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV115: $i,SV270: $i,SV604: $i,SV738: mworld,SV629: mworld] :
( ( ( mrel @ SV629 @ SV738 )
= $false )
| ( ( member @ SV604 @ SV270 @ SV738 )
= $true )
| ( ( member @ SV604 @ SV115 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) )
= $false )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3323]) ).
thf(3381,plain,
! [SV115: $i,SV513: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV578: $i,SV739: mworld,SV605: mworld] :
( ( ( mrel @ SV605 @ SV739 )
= $false )
| ( ( member @ SV578 @ SV270 @ SV739 )
= $true )
| ( ( mrel @ SV605 @ ( sK140_SY2784 @ SV194 @ SV33 @ SV395 @ SV513 @ SV270 @ SV115 @ SV578 @ SV605 ) )
= $true )
| ( ( mrel @ SV513 @ SV605 )
= $false )
| ( ( mrel @ SV395 @ SV513 )
= $false )
| ( ( subclass @ SV115 @ SV270 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $false )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3324]) ).
thf(3382,plain,
! [SV615: $i,SV138: $i,SV289: $i,SV535: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV633: mworld] :
( ( ( mrel @ SV633 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $true )
| ( ( ~ ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3326]) ).
thf(3383,plain,
! [SV535: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV138: $i,SV289: $i,SV615: $i,SV633: mworld] :
( ( ( ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) )
= $false )
| ( ( member @ SV615 @ SV138 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $false )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3327]) ).
thf(3384,plain,
! [SV138: $i,SV517: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV587: $i,SV616: mworld] :
( ( ( ! [SY2790: mworld] :
( ~ ( mrel @ SV616 @ SY2790 )
| ( member @ SV587 @ SV289 @ SY2790 ) ) )
= $false )
| ( ( mrel @ SV616 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3328]) ).
thf(3385,plain,
! [SV587: $i,SV289: $i,SV138: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV616: mworld] :
( ( ( ~ ( mrel @ SV616 @ ( sK165_SY2790 @ SV517 @ SV410 @ SV56 @ SV216 @ SV138 @ SV289 @ SV587 @ SV616 ) )
| ( member @ SV587 @ SV289 @ ( sK165_SY2790 @ SV517 @ SV410 @ SV56 @ SV216 @ SV138 @ SV289 @ SV587 @ SV616 ) ) )
= $false )
| ( ( member @ SV587 @ SV138 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $false )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3329]) ).
thf(3386,plain,
! [SV139: $i,SV290: $i,SV217: mworld,SV57: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( ! [SY2437: mworld] :
( ~ ( mrel @ SV413 @ SY2437 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SY2437 ) ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3330]) ).
thf(3387,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV761: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV761 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV761 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3331]) ).
thf(3388,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV762: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV762 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV762 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3332]) ).
thf(3389,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV756: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV756 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV756 )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3333]) ).
thf(3390,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV763: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV763 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV763 ) )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3334]) ).
thf(3391,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV757: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV757 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV757 )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3335]) ).
thf(3392,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV758: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV758 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV758 )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3336]) ).
thf(3393,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV740: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ SV740 )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV740 )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3337]) ).
thf(3394,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV712: mworld,SV291: $i,SV414: $i,SV140: $i,SV741: mworld,SV479: mworld] :
( ( ( mrel @ SV479 @ SV741 )
= $false )
| ( ( qmltpeq @ SV140 @ SV414 @ SV741 )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ SV712 )
= $true )
| ( ( mrel @ SV479 @ SV712 )
= $false )
| ( ( mrel @ SV479 @ ( sK91_SY2650 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV479 ) )
= $true )
| ( ( mrel @ SV350 @ SV479 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3338]) ).
thf(3395,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV759: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV759 ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV759 )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3340]) ).
thf(3396,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV742: mworld,SV480: mworld] :
( ( ( mrel @ SV480 @ SV742 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV742 )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV291 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3341]) ).
thf(3397,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV760: mworld,SV480: mworld] :
( ( ( ~ ( mrel @ SV480 @ SV760 ) )
= $true )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV760 )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3342]) ).
thf(3398,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV743: mworld,SV480: mworld] :
( ( ( mrel @ SV480 @ SV743 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV743 )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( qmltpeq @ SV140 @ SV414 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3343]) ).
thf(3399,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV744: mworld,SV480: mworld] :
( ( ( mrel @ SV480 @ SV744 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV744 )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV480 @ ( sK141_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3344]) ).
thf(3400,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV745: mworld,SV480: mworld] :
( ( ( mrel @ SV480 @ SV745 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV745 )
= $true )
| ( ( member @ SV140 @ universal_class @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $false )
| ( ( mrel @ SV480 @ ( sK142_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3346]) ).
thf(3401,plain,
! [SV143: $i,SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV481: $i,SV416: $i,SV295: $i,SV746: mworld,SV538: mworld] :
( ( ( mrel @ SV538 @ SV746 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV746 )
= $true )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3348]) ).
thf(3402,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i,SV747: mworld,SV538: mworld] :
( ( ( mrel @ SV538 @ SV747 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ SV747 )
= $true )
| ( ( mrel @ SV538 @ ( sK126_SY2743 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV538 ) )
= $true )
| ( ( mrel @ SV454 @ SV538 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3349]) ).
thf(3403,plain,
! [SV416: $i,SV481: $i,SV295: $i,SV143: $i,SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) ) )
= $false )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3352]) ).
thf(3404,plain,
! [SV539: mworld,SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV143: $i,SV295: $i,SV481: $i,SV416: $i] :
( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $false )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3352]) ).
thf(3405,plain,
! [SV416: $i,SV481: $i,SV295: $i,SV143: $i,SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV539: mworld] :
( ( ( mrel @ SV539 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3353]) ).
thf(3406,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV764: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ SV764 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV764 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $false )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3354]) ).
thf(3407,plain,
! [SV483: $i,SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV425: $i,SV306: $i,SV157: $i,SV748: mworld,SV545: mworld] :
( ( ( mrel @ SV545 @ SV748 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ SV748 )
= $true )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3355]) ).
thf(3408,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i,SV749: mworld,SV545: mworld] :
( ( ( mrel @ SV545 @ SV749 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ SV749 )
= $true )
| ( ( mrel @ SV545 @ ( sK128_SY2749 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV545 ) )
= $true )
| ( ( mrel @ SV462 @ SV545 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3356]) ).
thf(3409,plain,
! [SV306: $i,SV157: $i,SV425: $i,SV483: $i,SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) ) )
= $false )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3359]) ).
thf(3410,plain,
! [SV546: mworld,SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV483: $i,SV425: $i,SV157: $i,SV306: $i] :
( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $false )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3359]) ).
thf(3411,plain,
! [SV306: $i,SV157: $i,SV425: $i,SV483: $i,SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV546: mworld] :
( ( ( mrel @ SV546 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3360]) ).
thf(3412,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV765: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ SV765 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV765 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $false )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3361]) ).
thf(3413,plain,
! [SV484: $i,SV307: $i,SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV750: mworld,SV547: mworld] :
( ( ( mrel @ SV547 @ SV750 )
= $false )
| ( ( member @ SV426 @ universal_class @ SV750 )
= $true )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3362]) ).
thf(3414,plain,
! [SV158: $i,SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV426: $i,SV307: $i,SV484: $i,SV751: mworld,SV547: mworld] :
( ( ( mrel @ SV547 @ SV751 )
= $false )
| ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ SV751 )
= $true )
| ( ( mrel @ SV547 @ ( sK129_SY2755 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV547 ) )
= $true )
| ( ( mrel @ SV463 @ SV547 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3363]) ).
thf(3415,plain,
! [SV484: $i,SV307: $i,SV426: $i,SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) ) )
= $false )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3366]) ).
thf(3416,plain,
! [SV548: mworld,SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV426: $i,SV307: $i,SV484: $i] :
( ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $false )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3366]) ).
thf(3417,plain,
! [SV484: $i,SV307: $i,SV426: $i,SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV548: mworld] :
( ( ( mrel @ SV548 @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $true )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3367]) ).
thf(3418,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV766: mworld,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ SV766 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV766 ) )
= $true )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $false )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3368]) ).
thf(3419,plain,
! [SV308: $i,SV485: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV427: $i,SV159: $i,SV752: mworld,SV549: mworld] :
( ( ( mrel @ SV549 @ SV752 )
= $false )
| ( ( member @ SV159 @ SV427 @ SV752 )
= $true )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3369]) ).
thf(3420,plain,
! [SV159: $i,SV427: $i,SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV308: $i,SV753: mworld,SV549: mworld] :
( ( ( mrel @ SV549 @ SV753 )
= $false )
| ( ( member @ SV308 @ SV485 @ SV753 )
= $true )
| ( ( mrel @ SV549 @ ( sK130_SY2761 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV427 @ SV308 @ SV159 @ SV549 ) )
= $true )
| ( ( mrel @ SV464 @ SV549 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3370]) ).
thf(3421,plain,
! [SV308: $i,SV485: $i,SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV427: $i,SV159: $i,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) ) )
= $false )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3373]) ).
thf(3422,plain,
! [SV550: mworld,SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV427: $i,SV159: $i,SV485: $i,SV308: $i] :
( ( ( member @ SV308 @ SV485 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) )
= $false )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3373]) ).
thf(3423,plain,
! [SV308: $i,SV485: $i,SV159: $i,SV427: $i,SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV550: mworld] :
( ( ( mrel @ SV550 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) )
= $true )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3374]) ).
thf(3424,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV767: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ SV767 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV767 ) )
= $true )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( member @ SV308 @ SV485 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) )
= $false )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3375]) ).
thf(3425,plain,
! [SV366: mworld,SV238: mworld,SV80: mworld,SV310: $i,SV161: $i,SV428: $i,SV754: mworld,SV488: mworld] :
( ( ( mrel @ SV488 @ SV754 )
= $false )
| ( ( member @ SV428 @ ( intersection @ SV161 @ SV310 ) @ SV754 )
= $true )
| ( ( mrel @ SV488 @ ( sK119_SY2693 @ SV80 @ SV238 @ SV366 @ SV310 @ SV161 @ SV428 @ SV488 ) )
= $true )
| ( ( mrel @ SV488 @ ( sK147_SY2694 @ SV161 @ SV366 @ SV238 @ SV80 @ SV310 @ SV428 @ SV488 ) )
= $true )
| ( ( mrel @ SV366 @ SV488 )
= $false )
| ( ( mrel @ SV238 @ SV366 )
= $false )
| ( ( mrel @ SV80 @ SV238 )
= $false )
| ( ( mrel @ mactual @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3376]) ).
thf(3426,plain,
! [SV115: $i,SV527: mworld,SV395: mworld,SV33: mworld,SV194: mworld,SV270: $i,SV604: $i,SV755: mworld,SV629: mworld] :
( ( ( mrel @ SV629 @ SV755 )
= $false )
| ( ( member @ SV604 @ SV270 @ SV755 )
= $true )
| ( ( mrel @ SV629 @ ( sK148_SY2793 @ SV194 @ SV33 @ SV395 @ SV527 @ SV270 @ SV115 @ SV604 @ SV629 ) )
= $true )
| ( ( mrel @ SV527 @ SV629 )
= $false )
| ( ( mrel @ SV395 @ SV527 )
= $false )
| ( ( mrel @ SV395 @ ( sK34_SY2369 @ SV33 @ SV194 @ SV270 @ SV115 @ SV395 ) )
= $true )
| ( ( mrel @ SV194 @ SV395 )
= $false )
| ( ( mrel @ SV33 @ SV194 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3379]) ).
thf(3427,plain,
! [SV138: $i,SV535: mworld,SV410: mworld,SV56: mworld,SV216: mworld,SV289: $i,SV615: $i,SV633: mworld] :
( ( ( ! [SY2796: mworld] :
( ~ ( mrel @ SV633 @ SY2796 )
| ( member @ SV615 @ SV289 @ SY2796 ) ) )
= $false )
| ( ( mrel @ SV633 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3382]) ).
thf(3428,plain,
! [SV615: $i,SV289: $i,SV138: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV633: mworld] :
( ( ( ~ ( mrel @ SV633 @ ( sK166_SY2796 @ SV535 @ SV410 @ SV56 @ SV216 @ SV138 @ SV289 @ SV615 @ SV633 ) )
| ( member @ SV615 @ SV289 @ ( sK166_SY2796 @ SV535 @ SV410 @ SV56 @ SV216 @ SV138 @ SV289 @ SV615 @ SV633 ) ) )
= $false )
| ( ( member @ SV615 @ SV138 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $false )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3383]) ).
thf(3429,plain,
! [SV587: $i,SV289: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV138: $i,SV616: mworld] :
( ( ( ~ ( mrel @ SV616 @ ( sK167_SY2790 @ SV138 @ SV517 @ SV410 @ SV56 @ SV216 @ SV289 @ SV587 @ SV616 ) )
| ( member @ SV587 @ SV289 @ ( sK167_SY2790 @ SV138 @ SV517 @ SV410 @ SV56 @ SV216 @ SV289 @ SV587 @ SV616 ) ) )
= $false )
| ( ( mrel @ SV616 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3384]) ).
thf(3430,plain,
! [SV587: $i,SV289: $i,SV138: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV616: mworld] :
( ( ( ~ ( mrel @ SV616 @ ( sK165_SY2790 @ SV517 @ SV410 @ SV56 @ SV216 @ SV138 @ SV289 @ SV587 @ SV616 ) ) )
= $false )
| ( ( member @ SV587 @ SV138 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $false )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3385]) ).
thf(3431,plain,
! [SV616: mworld,SV138: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV289: $i,SV587: $i] :
( ( ( member @ SV587 @ SV289 @ ( sK165_SY2790 @ SV517 @ SV410 @ SV56 @ SV216 @ SV138 @ SV289 @ SV587 @ SV616 ) )
= $false )
| ( ( member @ SV587 @ SV138 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $false )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3385]) ).
thf(3432,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV768: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV768 )
| ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV768 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3386]) ).
thf(3433,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV761: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV761 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV761 )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3387]) ).
thf(3434,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV762: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV762 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV762 )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3388]) ).
thf(3435,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV756: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ SV756 )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV756 )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3389]) ).
thf(3436,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV763: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV763 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV763 )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3390]) ).
thf(3437,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV757: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ SV757 )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV757 )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3391]) ).
thf(3438,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV758: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ SV758 )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV758 )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( member @ SV290 @ universal_class @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK149_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3392]) ).
thf(3439,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV759: mworld,SV480: mworld] :
( ( ( mrel @ SV480 @ SV759 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV759 )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK150_SY2655 @ SV414 @ SV350 @ SV218 @ SV58 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3395]) ).
thf(3440,plain,
! [SV350: mworld,SV218: mworld,SV58: mworld,SV414: $i,SV291: $i,SV140: $i,SV760: mworld,SV480: mworld] :
( ( ( mrel @ SV480 @ SV760 )
= $false )
| ( ( member @ SV140 @ ( unordered_pair @ SV291 @ SV414 ) @ SV760 )
= $true )
| ( ( mrel @ SV480 @ ( sK116_SY2654 @ SV58 @ SV218 @ SV350 @ SV414 @ SV291 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV480 @ ( sK151_SY2656 @ SV291 @ SV350 @ SV218 @ SV58 @ SV414 @ SV140 @ SV480 ) )
= $true )
| ( ( mrel @ SV350 @ SV480 )
= $false )
| ( ( mrel @ SV218 @ SV350 )
= $false )
| ( ( mrel @ SV58 @ SV218 )
= $false )
| ( ( mrel @ mactual @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3397]) ).
thf(3441,plain,
! [SV416: $i,SV481: $i,SV295: $i,SV143: $i,SV62: mworld,SV220: mworld,SV352: mworld,SV454: mworld,SV539: mworld] :
( ( ( mrel @ SV539 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $true )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( ! [SY2748: mworld] :
( ~ ( mrel @ SV539 @ SY2748 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SY2748 ) ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3403]) ).
thf(3442,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV769: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ SV769 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV769 ) )
= $true )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $false )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3404]) ).
thf(3443,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV770: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ SV770 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV770 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( mrel @ SV539 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3405]) ).
thf(3444,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV764: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ SV764 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV764 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $false )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3406]) ).
thf(3445,plain,
! [SV306: $i,SV157: $i,SV425: $i,SV483: $i,SV76: mworld,SV234: mworld,SV362: mworld,SV462: mworld,SV546: mworld] :
( ( ( mrel @ SV546 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $true )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( ! [SY2754: mworld] :
( ~ ( mrel @ SV546 @ SY2754 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SY2754 ) ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3409]) ).
thf(3446,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV771: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ SV771 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV771 ) )
= $true )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $false )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3410]) ).
thf(3447,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV772: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ SV772 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV772 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( mrel @ SV546 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3411]) ).
thf(3448,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV765: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ SV765 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV765 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $false )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3412]) ).
thf(3449,plain,
! [SV484: $i,SV307: $i,SV426: $i,SV77: mworld,SV235: mworld,SV363: mworld,SV463: mworld,SV158: $i,SV548: mworld] :
( ( ( mrel @ SV548 @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $true )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( ! [SY2760: mworld] :
( ~ ( mrel @ SV548 @ SY2760 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SY2760 ) ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3415]) ).
thf(3450,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV773: mworld,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ SV773 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV773 ) )
= $true )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $false )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3416]) ).
thf(3451,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV774: mworld,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ SV774 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV774 ) )
= $true )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( mrel @ SV548 @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3417]) ).
thf(3452,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV766: mworld,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ SV766 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV766 )
= $true )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $false )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3418]) ).
thf(3453,plain,
! [SV308: $i,SV485: $i,SV78: mworld,SV236: mworld,SV364: mworld,SV464: mworld,SV427: $i,SV159: $i,SV550: mworld] :
( ( ( mrel @ SV550 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) )
= $true )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV550 @ SY2766 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3421]) ).
thf(3454,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV775: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ SV775 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV775 ) )
= $true )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( member @ SV308 @ SV485 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) )
= $false )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3422]) ).
thf(3455,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV776: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ SV776 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV776 ) )
= $true )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( mrel @ SV550 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3423]) ).
thf(3456,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV767: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ SV767 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV767 )
= $true )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( member @ SV308 @ SV485 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) )
= $false )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3424]) ).
thf(3457,plain,
! [SV615: $i,SV289: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV138: $i,SV633: mworld] :
( ( ( ~ ( mrel @ SV633 @ ( sK168_SY2796 @ SV138 @ SV535 @ SV410 @ SV56 @ SV216 @ SV289 @ SV615 @ SV633 ) )
| ( member @ SV615 @ SV289 @ ( sK168_SY2796 @ SV138 @ SV535 @ SV410 @ SV56 @ SV216 @ SV289 @ SV615 @ SV633 ) ) )
= $false )
| ( ( mrel @ SV633 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3427]) ).
thf(3458,plain,
! [SV615: $i,SV289: $i,SV138: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV633: mworld] :
( ( ( ~ ( mrel @ SV633 @ ( sK166_SY2796 @ SV535 @ SV410 @ SV56 @ SV216 @ SV138 @ SV289 @ SV615 @ SV633 ) ) )
= $false )
| ( ( member @ SV615 @ SV138 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $false )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3428]) ).
thf(3459,plain,
! [SV633: mworld,SV138: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV289: $i,SV615: $i] :
( ( ( member @ SV615 @ SV289 @ ( sK166_SY2796 @ SV535 @ SV410 @ SV56 @ SV216 @ SV138 @ SV289 @ SV615 @ SV633 ) )
= $false )
| ( ( member @ SV615 @ SV138 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $false )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3428]) ).
thf(3460,plain,
! [SV587: $i,SV289: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV138: $i,SV616: mworld] :
( ( ( ~ ( mrel @ SV616 @ ( sK167_SY2790 @ SV138 @ SV517 @ SV410 @ SV56 @ SV216 @ SV289 @ SV587 @ SV616 ) ) )
= $false )
| ( ( mrel @ SV616 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3429]) ).
thf(3461,plain,
! [SV616: mworld,SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV138: $i,SV289: $i,SV587: $i] :
( ( ( member @ SV587 @ SV289 @ ( sK167_SY2790 @ SV138 @ SV517 @ SV410 @ SV56 @ SV216 @ SV289 @ SV587 @ SV616 ) )
= $false )
| ( ( mrel @ SV616 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3429]) ).
thf(3462,plain,
! [SV587: $i,SV289: $i,SV138: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV616: mworld] :
( ( ( mrel @ SV616 @ ( sK165_SY2790 @ SV517 @ SV410 @ SV56 @ SV216 @ SV138 @ SV289 @ SV587 @ SV616 ) )
= $true )
| ( ( member @ SV587 @ SV138 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $false )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3430]) ).
thf(3463,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV768: mworld,SV413: mworld] :
( ( ( ~ ( mrel @ SV413 @ SV768 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV768 )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3432]) ).
thf(3464,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV761: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ SV761 )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV761 )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( qmltpeq @ ( successor @ SV139 ) @ SV290 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3433]) ).
thf(3465,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV762: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ SV762 )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV762 )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( member @ SV290 @ universal_class @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK153_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3434]) ).
thf(3466,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV763: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ SV763 )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV763 )
= $true )
| ( ( member @ SV139 @ universal_class @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $false )
| ( ( mrel @ SV413 @ ( sK134_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK154_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3436]) ).
thf(3467,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV777: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ SV777 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV777 ) )
= $true )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( mrel @ SV539 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3441]) ).
thf(3468,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV769: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ SV769 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV769 )
= $true )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $false )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3442]) ).
thf(3469,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV770: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ SV770 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV770 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( mrel @ SV539 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3443]) ).
thf(3470,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV764: mworld,SV539: mworld] :
( ( ( mrel @ SV539 @ SV764 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV764 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $false )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3444]) ).
thf(3471,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV778: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ SV778 )
| ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV778 ) )
= $true )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( mrel @ SV546 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3445]) ).
thf(3472,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV771: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ SV771 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV771 )
= $true )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $false )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3446]) ).
thf(3473,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV772: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ SV772 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV772 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( mrel @ SV546 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3447]) ).
thf(3474,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV765: mworld,SV546: mworld] :
( ( ( mrel @ SV546 @ SV765 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV765 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $false )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3448]) ).
thf(3475,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV779: mworld,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ SV779 )
| ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV779 ) )
= $true )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( mrel @ SV548 @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3449]) ).
thf(3476,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV773: mworld,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ SV773 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV773 )
= $true )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $false )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3450]) ).
thf(3477,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV774: mworld,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ SV774 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV774 )
= $true )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( mrel @ SV548 @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3451]) ).
thf(3478,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV766: mworld,SV548: mworld] :
( ( ( mrel @ SV548 @ SV766 )
= $false )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV766 )
= $true )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $false )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3452]) ).
thf(3479,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV780: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ SV780 )
| ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV780 ) )
= $true )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( mrel @ SV550 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3453]) ).
thf(3480,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV775: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ SV775 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV775 )
= $true )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( member @ SV308 @ SV485 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) )
= $false )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3454]) ).
thf(3481,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV776: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ SV776 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV776 )
= $true )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( mrel @ SV550 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3455]) ).
thf(3482,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV767: mworld,SV550: mworld] :
( ( ( mrel @ SV550 @ SV767 )
= $false )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV767 )
= $true )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( member @ SV308 @ SV485 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) )
= $false )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3456]) ).
thf(3483,plain,
! [SV615: $i,SV289: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV138: $i,SV633: mworld] :
( ( ( ~ ( mrel @ SV633 @ ( sK168_SY2796 @ SV138 @ SV535 @ SV410 @ SV56 @ SV216 @ SV289 @ SV615 @ SV633 ) ) )
= $false )
| ( ( mrel @ SV633 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3457]) ).
thf(3484,plain,
! [SV633: mworld,SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV138: $i,SV289: $i,SV615: $i] :
( ( ( member @ SV615 @ SV289 @ ( sK168_SY2796 @ SV138 @ SV535 @ SV410 @ SV56 @ SV216 @ SV289 @ SV615 @ SV633 ) )
= $false )
| ( ( mrel @ SV633 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3457]) ).
thf(3485,plain,
! [SV615: $i,SV289: $i,SV138: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV633: mworld] :
( ( ( mrel @ SV633 @ ( sK166_SY2796 @ SV535 @ SV410 @ SV56 @ SV216 @ SV138 @ SV289 @ SV615 @ SV633 ) )
= $true )
| ( ( member @ SV615 @ SV138 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $false )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3458]) ).
thf(3486,plain,
! [SV587: $i,SV289: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV517: mworld,SV138: $i,SV616: mworld] :
( ( ( mrel @ SV616 @ ( sK167_SY2790 @ SV138 @ SV517 @ SV410 @ SV56 @ SV216 @ SV289 @ SV587 @ SV616 ) )
= $true )
| ( ( mrel @ SV616 @ ( sK152_SY2789 @ SV216 @ SV56 @ SV410 @ SV517 @ SV289 @ SV138 @ SV587 @ SV616 ) )
= $true )
| ( ( mrel @ SV517 @ SV616 )
= $false )
| ( ( mrel @ SV410 @ SV517 )
= $false )
| ( ( disjoint @ SV138 @ SV289 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $false )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3460]) ).
thf(3487,plain,
! [SV217: mworld,SV57: mworld,SV290: $i,SV139: $i,SV768: mworld,SV413: mworld] :
( ( ( mrel @ SV413 @ SV768 )
= $false )
| ( ( member @ ( ordered_pair @ SV139 @ SV290 ) @ successor_relation @ SV768 )
= $true )
| ( ( mrel @ SV413 @ ( sK77_SY2434 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK138_SY2435 @ SV217 @ SV57 @ SV139 @ SV290 @ SV413 ) )
= $true )
| ( ( mrel @ SV413 @ ( sK156_SY2436 @ SV57 @ SV217 @ SV290 @ SV139 @ SV413 ) )
= $true )
| ( ( mrel @ SV217 @ SV413 )
= $false )
| ( ( mrel @ SV57 @ SV217 )
= $false )
| ( ( mrel @ mactual @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3463]) ).
thf(3488,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV777: mworld,SV539: mworld] :
( ( ( ~ ( mrel @ SV539 @ SV777 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV777 )
= $true )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( mrel @ SV539 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3467]) ).
thf(3489,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV769: mworld,SV539: mworld] :
( ( ( mrel @ SV539 @ SV769 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV769 )
= $true )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV416 @ SV481 ) @ SV295 ) @ SV143 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $false )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3468]) ).
thf(3490,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV770: mworld,SV539: mworld] :
( ( ( mrel @ SV539 @ SV770 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV770 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $false )
| ( ( mrel @ SV539 @ ( sK157_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3469]) ).
thf(3491,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV778: mworld,SV546: mworld] :
( ( ( ~ ( mrel @ SV546 @ SV778 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV778 )
= $true )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( mrel @ SV546 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3471]) ).
thf(3492,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV771: mworld,SV546: mworld] :
( ( ( mrel @ SV546 @ SV771 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV771 )
= $true )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV306 @ SV157 ) @ SV425 ) @ SV483 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $false )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3472]) ).
thf(3493,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV772: mworld,SV546: mworld] :
( ( ( mrel @ SV546 @ SV772 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV772 )
= $true )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $false )
| ( ( mrel @ SV546 @ ( sK158_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3473]) ).
thf(3494,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV779: mworld,SV548: mworld] :
( ( ( ~ ( mrel @ SV548 @ SV779 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV779 )
= $true )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( mrel @ SV548 @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3475]) ).
thf(3495,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV773: mworld,SV548: mworld] :
( ( ( mrel @ SV548 @ SV773 )
= $false )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV773 )
= $true )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( member @ SV484 @ ( image @ SV307 @ ( image @ SV307 @ ( singleton @ SV426 ) ) ) @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $false )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3476]) ).
thf(3496,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV774: mworld,SV548: mworld] :
( ( ( mrel @ SV548 @ SV774 )
= $false )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV774 )
= $true )
| ( ( member @ SV426 @ universal_class @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $false )
| ( ( mrel @ SV548 @ ( sK159_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3477]) ).
thf(3497,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV780: mworld,SV550: mworld] :
( ( ( ~ ( mrel @ SV550 @ SV780 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV780 )
= $true )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( mrel @ SV550 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3479]) ).
thf(3498,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV775: mworld,SV550: mworld] :
( ( ( mrel @ SV550 @ SV775 )
= $false )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV775 )
= $true )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( member @ SV308 @ SV485 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) )
= $false )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3480]) ).
thf(3499,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV776: mworld,SV550: mworld] :
( ( ( mrel @ SV550 @ SV776 )
= $false )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV776 )
= $true )
| ( ( member @ SV159 @ SV427 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $false )
| ( ( mrel @ SV550 @ ( sK160_SY2765 @ SV464 @ SV364 @ SV236 @ SV78 @ SV427 @ SV159 @ SV485 @ SV308 @ SV550 ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3481]) ).
thf(3500,plain,
! [SV615: $i,SV289: $i,SV216: mworld,SV56: mworld,SV410: mworld,SV535: mworld,SV138: $i,SV633: mworld] :
( ( ( mrel @ SV633 @ ( sK168_SY2796 @ SV138 @ SV535 @ SV410 @ SV56 @ SV216 @ SV289 @ SV615 @ SV633 ) )
= $true )
| ( ( mrel @ SV633 @ ( sK155_SY2795 @ SV216 @ SV56 @ SV410 @ SV535 @ SV289 @ SV138 @ SV615 @ SV633 ) )
= $true )
| ( ( mrel @ SV535 @ SV633 )
= $false )
| ( ( mrel @ SV410 @ SV535 )
= $false )
| ( ( mrel @ SV410 @ ( sK39_SY2418 @ SV56 @ SV216 @ SV289 @ SV138 @ SV410 ) )
= $true )
| ( ( mrel @ SV216 @ SV410 )
= $false )
| ( ( mrel @ SV56 @ SV216 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3483]) ).
thf(3501,plain,
! [SV454: mworld,SV352: mworld,SV220: mworld,SV62: mworld,SV143: $i,SV481: $i,SV416: $i,SV295: $i,SV777: mworld,SV539: mworld] :
( ( ( mrel @ SV539 @ SV777 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV295 @ SV416 ) @ SV481 ) @ ( rotate @ SV143 ) @ SV777 )
= $true )
| ( ( mrel @ SV539 @ ( sK143_SY2746 @ SV62 @ SV220 @ SV352 @ SV454 @ SV143 @ SV481 @ SV416 @ SV295 @ SV539 ) )
= $true )
| ( ( mrel @ SV539 @ ( sK161_SY2747 @ SV454 @ SV352 @ SV220 @ SV62 @ SV143 @ SV295 @ SV481 @ SV416 @ SV539 ) )
= $true )
| ( ( mrel @ SV454 @ SV539 )
= $false )
| ( ( mrel @ SV352 @ SV454 )
= $false )
| ( ( mrel @ SV220 @ SV352 )
= $false )
| ( ( mrel @ SV62 @ SV220 )
= $false )
| ( ( mrel @ mactual @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3488]) ).
thf(3502,plain,
! [SV462: mworld,SV362: mworld,SV234: mworld,SV76: mworld,SV483: $i,SV425: $i,SV306: $i,SV157: $i,SV778: mworld,SV546: mworld] :
( ( ( mrel @ SV546 @ SV778 )
= $false )
| ( ( member @ ( ordered_pair @ ( ordered_pair @ SV157 @ SV306 ) @ SV425 ) @ ( flip @ SV483 ) @ SV778 )
= $true )
| ( ( mrel @ SV546 @ ( sK144_SY2752 @ SV76 @ SV234 @ SV362 @ SV462 @ SV483 @ SV425 @ SV306 @ SV157 @ SV546 ) )
= $true )
| ( ( mrel @ SV546 @ ( sK162_SY2753 @ SV462 @ SV362 @ SV234 @ SV76 @ SV483 @ SV425 @ SV157 @ SV306 @ SV546 ) )
= $true )
| ( ( mrel @ SV462 @ SV546 )
= $false )
| ( ( mrel @ SV362 @ SV462 )
= $false )
| ( ( mrel @ SV234 @ SV362 )
= $false )
| ( ( mrel @ SV76 @ SV234 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3491]) ).
thf(3503,plain,
! [SV463: mworld,SV363: mworld,SV235: mworld,SV77: mworld,SV158: $i,SV307: $i,SV484: $i,SV426: $i,SV779: mworld,SV548: mworld] :
( ( ( mrel @ SV548 @ SV779 )
= $false )
| ( ( member @ ( ordered_pair @ SV426 @ SV484 ) @ ( compose @ SV307 @ SV158 ) @ SV779 )
= $true )
| ( ( mrel @ SV548 @ ( sK145_SY2758 @ SV77 @ SV235 @ SV363 @ SV463 @ SV158 @ SV307 @ SV484 @ SV426 @ SV548 ) )
= $true )
| ( ( mrel @ SV548 @ ( sK163_SY2759 @ SV158 @ SV463 @ SV363 @ SV235 @ SV77 @ SV426 @ SV307 @ SV484 @ SV548 ) )
= $true )
| ( ( mrel @ SV463 @ SV548 )
= $false )
| ( ( mrel @ SV363 @ SV463 )
= $false )
| ( ( mrel @ SV235 @ SV363 )
= $false )
| ( ( mrel @ SV77 @ SV235 )
= $false )
| ( ( mrel @ mactual @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3494]) ).
thf(3504,plain,
! [SV464: mworld,SV364: mworld,SV236: mworld,SV78: mworld,SV485: $i,SV427: $i,SV308: $i,SV159: $i,SV780: mworld,SV550: mworld] :
( ( ( mrel @ SV550 @ SV780 )
= $false )
| ( ( member @ ( ordered_pair @ SV159 @ SV308 ) @ ( cross_product @ SV427 @ SV485 ) @ SV780 )
= $true )
| ( ( mrel @ SV550 @ ( sK146_SY2764 @ SV78 @ SV236 @ SV364 @ SV464 @ SV485 @ SV308 @ SV427 @ SV159 @ SV550 ) )
= $true )
| ( ( mrel @ SV550 @ ( sK164_SY2765 @ SV159 @ SV427 @ SV464 @ SV364 @ SV236 @ SV78 @ SV485 @ SV308 @ SV550 ) )
= $true )
| ( ( mrel @ SV464 @ SV550 )
= $false )
| ( ( mrel @ SV364 @ SV464 )
= $false )
| ( ( mrel @ SV236 @ SV364 )
= $false )
| ( ( mrel @ SV78 @ SV236 )
= $false )
| ( ( mrel @ mactual @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3497]) ).
thf(3505,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[260,3504,3503,3502,3501,3500,3499,3498,3496,3495,3493,3492,3490,3489,3487,3486,3485,3484,3482,3478,3474,3470,3466,3465,3464,3462,3461,3459,3440,3439,3438,3437,3435,3431,3426,3425,3420,3419,3414,3413,3408,3407,3402,3401,3400,3399,3398,3396,3394,3393,3381,3380,3378,3377,3372,3371,3365,3364,3358,3357,3351,3350,3347,3345,3339,3325,3321,3320,3319,3318,3273,3272,3264,3262,3261,3259,3235,3209,3208,3207,3206,3201,3198,3197,3196,3186,3185,3166,3165,3163,3148,3139,3138,3136,3135,3134,3132,3131,3129,3128,3126,3122,3121,3117,3116,3115,3114,3112,3111,3103,3102,3098,3097,3082,3078,3077,3066,3059,3058,3053,3049,3048,3046,3042,3038,3034,3030,3025,3022,3021,3019,3015,3014,3006,3005,3003,3000,2999,2978,2974,2973,2959,2958,2947,2931,2918,2911,2907,2906,2905,2899,2898,2895,2890,2887,2830,2821,2797,2795,2793,2789,2782,2774,2753,2752,2747,2734,2731,2728,2720,2719,2718,2714,2713,2705,2704,2699,2687,2679,2678,2669,2668,2652,2634,2633,2628,2627,2626,2623,2622,2612,2603,2602,2598,2594,2593,2590,2586,2578,2562,2554,2553,2542,2526,2512,2509,2508,2507,2506,2492,2488,2473,2467,2451,2448,2447,2444,2443,2431,2430,2421,2402,2397,2394,2376,2372,2370,2368,2366,2348,2335,2310,2306,2304,2300,2298,2289,2284,2282,2272,2255,2250,2247,2209,2202,2201,2181,2180,2067,2066,2048,2047,1978,1977,1976,1973,1949,1922,1920,1919,1898,1890,1873,1870,1867,1854,1852,1850,1846,1826,1799,1796,1794,1777,1768,1753,1749,1746,1483,1478,1450,1394,1388,1239,1182,1180,1157,1129,1117,1112,1070,983,978,849,844,825,822,820,794,791,790,784,774,738,567,492,458]) ).
thf(3506,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3505]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL949^4 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 4 15:53:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.07/2.24
% 2.07/2.24 No.of.Axioms: 85
% 2.07/2.24
% 2.07/2.24 Length.of.Defs: 1574
% 2.07/2.24
% 2.07/2.24 Contains.Choice.Funs: false
% 3.80/3.98 (rf:0,axioms:85,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:87,loop_count:0,foatp_calls:0,translation:fof_full).....................................................................................................................................................................................................................................................................................................................................................................................
% 22.78/22.97
% 22.78/22.97 ********************************
% 22.78/22.97 * All subproblems solved! *
% 22.78/22.97 ********************************
% 22.78/22.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:85,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3505,loop_count:0,foatp_calls:1,translation:fof_full)
% 28.07/28.23
% 28.07/28.23 %**** Beginning of derivation protocol ****
% 28.07/28.23 % SZS output start CNFRefutation
% See solution above
% 28.07/28.25
% 28.07/28.25 %**** End of derivation protocol ****
% 28.07/28.25 %**** no. of clauses in derivation: 3506 ****
% 28.07/28.25 %**** clause counter: 3505 ****
% 28.07/28.25
% 28.07/28.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:85,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3505,loop_count:0,foatp_calls:1,translation:fof_full)
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