%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU490^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:44:35 AM UTC 2026
% Result : Theorem 242.35s 40.93s
% Output : CNFRefutation 242.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 30
% Syntax : Number of formulae : 839 ( 62 unt; 0 typ; 29 def)
% Number of atoms : 12673 (5753 equ; 0 cnn)
% Maximal formula atoms : 8 ( 15 avg)
% Number of connectives : 35308 (4583 ~;6303 |; 89 &;24208 @)
% ( 0 <=>; 125 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2151 (2151 >; 0 *; 0 +; 0 <<)
% Number of symbols : 180 ( 177 usr; 4 con; 0-7 aty)
% Number of variables : 5726 ( 43 ^;5669 !; 14 ?;5726 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_antisymm,type,
antisymm: ( $i > $i > $o ) > $o ).
thf(tp_asymm,type,
asymm: ( $i > $i > $o ) > $o ).
thf(tp_confl,type,
confl: ( $i > $i > $o ) > $o ).
thf(tp_cr,type,
cr: ( $i > $i > $o ) > $o ).
thf(tp_idem,type,
idem: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(tp_ind,type,
ind: ( $i > $i > $o ) > $o ).
thf(tp_infl,type,
infl: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(tp_innf,type,
innf: ( $i > $i > $o ) > $i > $o ).
thf(tp_inv,type,
inv: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_irrefl,type,
irrefl: ( $i > $i > $o ) > $o ).
thf(tp_join,type,
join: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_lconfl,type,
lconfl: ( $i > $i > $o ) > $o ).
thf(tp_mono,type,
mono: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(tp_nfof,type,
nfof: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_norm,type,
norm: ( $i > $i > $o ) > $o ).
thf(tp_po,type,
po: ( $i > $i > $o ) > $o ).
thf(tp_rc,type,
rc: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_refl,type,
refl: ( $i > $i > $o ) > $o ).
thf(tp_sK100_SY677,type,
sK100_SY677: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK101_SY797,type,
sK101_SY797: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK102_SY798,type,
sK102_SY798: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK103_SY799,type,
sK103_SY799: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK104_SY801,type,
sK104_SY801: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK105_SY803,type,
sK105_SY803: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i ).
thf(tp_sK106_SY804,type,
sK106_SY804: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i ).
thf(tp_sK107_SY805,type,
sK107_SY805: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK108_SY806,type,
sK108_SY806: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK109_SY807,type,
sK109_SY807: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK10_SY601,type,
sK10_SY601: ( $i > $i > $o ) > $i ).
thf(tp_sK110_SY808,type,
sK110_SY808: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK111_SY809,type,
sK111_SY809: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK112_SY810,type,
sK112_SY810: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK113_SY707,type,
sK113_SY707: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK114_SY707,type,
sK114_SY707: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK115_SY712,type,
sK115_SY712: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK116_SY712,type,
sK116_SY712: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK117_SY717,type,
sK117_SY717: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK118_SY717,type,
sK118_SY717: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK119_SY722,type,
sK119_SY722: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK11_SY608,type,
sK11_SY608: ( $i > $i > $o ) > $i ).
thf(tp_sK120_SY722,type,
sK120_SY722: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK121_SY727,type,
sK121_SY727: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK122_SY727,type,
sK122_SY727: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK123_SY811,type,
sK123_SY811: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK124_SY812,type,
sK124_SY812: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK125_SY732,type,
sK125_SY732: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK126_SY732,type,
sK126_SY732: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK127_SY813,type,
sK127_SY813: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK128_SY814,type,
sK128_SY814: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK129_SY760,type,
sK129_SY760: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK12_SY556,type,
sK12_SY556: $i > $i > $i > $o ).
thf(tp_sK130_SY765,type,
sK130_SY765: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK131_SY815,type,
sK131_SY815: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i ).
thf(tp_sK132_SY816,type,
sK132_SY816: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i ).
thf(tp_sK133_SY817,type,
sK133_SY817: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i ).
thf(tp_sK134_SY818,type,
sK134_SY818: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i ).
thf(tp_sK135_SY819,type,
sK135_SY819: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK136_SY820,type,
sK136_SY820: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK137_SY821,type,
sK137_SY821: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK138_SY822,type,
sK138_SY822: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK139_SY823,type,
sK139_SY823: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK13_SY565,type,
sK13_SY565: ( $i > $i > $o ) > $i ).
thf(tp_sK140_SY824,type,
sK140_SY824: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK141_SY760,type,
sK141_SY760: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK142_SY760,type,
sK142_SY760: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK143_SY765,type,
sK143_SY765: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK144_SY765,type,
sK144_SY765: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK145_SY825,type,
sK145_SY825: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK146_SY826,type,
sK146_SY826: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK147_SY827,type,
sK147_SY827: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK148_SY828,type,
sK148_SY828: ( $i > $i > $o ) > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK14_SY631,type,
sK14_SY631: ( $i > $i > $o ) > $i ).
thf(tp_sK15_SY512,type,
sK15_SY512: $i > $i > $i > $i > $i > $i ).
thf(tp_sK16_SY565,type,
sK16_SY565: ( $i > $i > $o ) > $i ).
thf(tp_sK17_SY565,type,
sK17_SY565: ( $i > $i > $o ) > $i ).
thf(tp_sK18_SY617,type,
sK18_SY617: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK19_SY622,type,
sK19_SY622: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i > $i > $o ).
thf(tp_sK20_SY662,type,
sK20_SY662: ( $i > $i > $o ) > $i ).
thf(tp_sK21_SY663,type,
sK21_SY663: ( $i > $i > $o ) > $i ).
thf(tp_sK22_SY556,type,
sK22_SY556: $i > $i > $i > $i > $i > $o ).
thf(tp_sK23_SY670,type,
sK23_SY670: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK24_SY672,type,
sK24_SY672: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK25_SY684,type,
sK25_SY684: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK26_SY685,type,
sK26_SY685: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK27_SY633,type,
sK27_SY633: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK28_SY638,type,
sK28_SY638: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK29_SY512,type,
sK29_SY512: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK30_SY686,type,
sK30_SY686: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK31_SY688,type,
sK31_SY688: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK32_SY702,type,
sK32_SY702: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK33_SY703,type,
sK33_SY703: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK34_SY620,type,
sK34_SY620: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK35_SY625,type,
sK35_SY625: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK36_SY664,type,
sK36_SY664: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK37_SY556,type,
sK37_SY556: $i > $i > $i > $i > $i > $i > $o ).
thf(tp_sK38_SY734,type,
sK38_SY734: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK39_SY735,type,
sK39_SY735: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK3_SY480,type,
sK3_SY480: $i ).
thf(tp_sK40_SY674,type,
sK40_SY674: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK41_SY736,type,
sK41_SY736: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK42_SY636,type,
sK42_SY636: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK43_SY641,type,
sK43_SY641: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK44_SY743,type,
sK44_SY743: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK45_SY745,type,
sK45_SY745: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK46_SY749,type,
sK46_SY749: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK47_SY750,type,
sK47_SY750: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK48_SY751,type,
sK48_SY751: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK49_SY620,type,
sK49_SY620: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK4_SY461,type,
sK4_SY461: $i > $i > $i > $i > $i > $o ).
thf(tp_sK50_SY620,type,
sK50_SY620: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK51_SY625,type,
sK51_SY625: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK52_SY625,type,
sK52_SY625: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK53_SY704,type,
sK53_SY704: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK54_SY709,type,
sK54_SY709: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK55_SY753,type,
sK55_SY753: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK56_SY754,type,
sK56_SY754: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK57_SY755,type,
sK57_SY755: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK58_SY756,type,
sK58_SY756: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK59_SY714,type,
sK59_SY714: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK5_SY512,type,
sK5_SY512: $i > $i > $i > $i ).
thf(tp_sK60_SY719,type,
sK60_SY719: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK61_SY724,type,
sK61_SY724: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK62_SY767,type,
sK62_SY767: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK63_SY729,type,
sK63_SY729: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK64_SY769,type,
sK64_SY769: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK65_SY667,type,
sK65_SY667: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK66_SY771,type,
sK66_SY771: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK67_SY773,type,
sK67_SY773: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK68_SY636,type,
sK68_SY636: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK69_SY636,type,
sK69_SY636: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK6_SY550,type,
sK6_SY550: $i > $i > $i > $o ).
thf(tp_sK70_SY641,type,
sK70_SY641: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK71_SY641,type,
sK71_SY641: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK72_SY775,type,
sK72_SY775: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK73_SY777,type,
sK73_SY777: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK74_SY778,type,
sK74_SY778: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK75_SY780,type,
sK75_SY780: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK76_SY677,type,
sK76_SY677: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK77_SY781,type,
sK77_SY781: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK78_SY782,type,
sK78_SY782: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK79_SY783,type,
sK79_SY783: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK7_SY512,type,
sK7_SY512: $i > $i > $i > $i ).
thf(tp_sK80_SY784,type,
sK80_SY784: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK81_SY785,type,
sK81_SY785: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK82_SY786,type,
sK82_SY786: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK83_SY787,type,
sK83_SY787: ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(tp_sK84_SY788,type,
sK84_SY788: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK85_SY789,type,
sK85_SY789: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK86_SY790,type,
sK86_SY790: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK87_SY707,type,
sK87_SY707: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK88_SY712,type,
sK88_SY712: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK89_SY667,type,
sK89_SY667: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK8_SY562,type,
sK8_SY562: ( $i > $i > $o ) > $i ).
thf(tp_sK90_SY667,type,
sK90_SY667: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK91_SY757,type,
sK91_SY757: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK92_SY762,type,
sK92_SY762: $i > $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK93_SY717,type,
sK93_SY717: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK94_SY722,type,
sK94_SY722: $i > $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK95_SY727,type,
sK95_SY727: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK96_SY795,type,
sK96_SY795: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK97_SY732,type,
sK97_SY732: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK98_SY796,type,
sK98_SY796: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK99_SY677,type,
sK99_SY677: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK9_SY556,type,
sK9_SY556: $i > $i > $i > $o ).
thf(tp_sc,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_sconfl,type,
sconfl: ( $i > $i > $o ) > $o ).
thf(tp_so,type,
so: ( $i > $i > $o ) > $o ).
thf(tp_subrel,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_symm,type,
symm: ( $i > $i > $o ) > $o ).
thf(tp_tc,type,
tc: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_term,type,
term: ( $i > $i > $o ) > $o ).
thf(tp_total,type,
total: ( $i > $i > $o ) > $o ).
thf(tp_trans,type,
trans: ( $i > $i > $o ) > $o ).
thf(tp_trc,type,
trc: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_trsc,type,
trsc: ( $i > $i > $o ) > $i > $i > $o ).
thf(antisymm,definition,
( antisymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetric) ).
thf(asymm,definition,
( asymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ~ ( R @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',asymmetric) ).
thf(confl,definition,
( confl
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( trc @ R @ X @ Z )
& ( trc @ R @ X @ Y ) )
=> ( join @ R @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',confluent) ).
thf(cr,definition,
( cr
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( trsc @ R @ X @ Y )
=> ( join @ R @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_rosser) ).
thf(idem,definition,
( idem
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] :
( ( F @ ( F @ R ) )
= ( F @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotent) ).
thf(ind,definition,
( ind
= ( ^ [R: $i > $i > $o] :
! [P: $i > $o] :
( ! [X: $i] :
( ! [Y: $i] :
( ( tc @ R @ X @ Y )
=> ( P @ Y ) )
=> ( P @ X ) )
=> ! [X: $i] : ( P @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satisfying_the_induction_principle) ).
thf(infl,definition,
( infl
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] : ( subrel @ R @ ( F @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inflationary) ).
thf(innf,definition,
( innf
= ( ^ [R: $i > $i > $o,X: $i] :
~ ? [Y: $i] : ( R @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_normal_form) ).
thf(inv,definition,
( inv
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
thf(irrefl,definition,
( irrefl
= ( ^ [R: $i > $i > $o] :
! [X: $i] :
~ ( R @ X @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive) ).
thf(join,definition,
( join
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
? [Z: $i] :
( ( trc @ R @ X @ Z )
& ( trc @ R @ Y @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',joinable) ).
thf(lconfl,definition,
( lconfl
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Z )
& ( R @ X @ Y ) )
=> ( join @ R @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',locally_confluent) ).
thf(mono,definition,
( mono
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o,S: $i > $i > $o] :
( ( subrel @ R @ S )
=> ( subrel @ ( F @ R ) @ ( F @ S ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotonic) ).
thf(nfof,definition,
( nfof
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( trc @ R @ Y @ X )
& ( innf @ R @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normal_form_of) ).
thf(norm,definition,
( norm
= ( ^ [R: $i > $i > $o] :
! [X: $i] :
? [Y: $i] : ( nfof @ R @ Y @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normalizing) ).
thf(po,definition,
( po
= ( ^ [R: $i > $i > $o] :
( ( refl @ R )
& ( antisymm @ R )
& ( trans @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_order) ).
thf(rc,definition,
( rc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( X = Y )
| ( R @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexive_closure) ).
thf(refl,definition,
( refl
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexive) ).
thf(sc,definition,
( sc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ Y @ X )
| ( R @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_closure) ).
thf(sconfl,definition,
( sconfl
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Z )
& ( trc @ R @ X @ Y ) )
=> ( join @ R @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',semi_confluent) ).
thf(so,definition,
( so
= ( ^ [R: $i > $i > $o] :
( ( asymm @ R )
& ( trans @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strict_order) ).
thf(subrel,definition,
( subrel
= ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( S @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subrel) ).
thf(symm,definition,
( symm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( R @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric) ).
thf(tc,definition,
( tc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_closure) ).
thf(term,definition,
( term
= ( ^ [R: $i > $i > $o] :
! [A: $i > $o] :
( ? [X: $i] : ( A @ X )
=> ? [X: $i] :
( ( A @ X )
& ! [Y: $i] :
( ( A @ Y )
=> ~ ( R @ X @ Y ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',terminating) ).
thf(total,definition,
( total
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( X = Y )
| ( R @ X @ Y )
| ( R @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total) ).
thf(trans,definition,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive) ).
thf(trc,definition,
( trc
= ( ^ [R: $i > $i > $o] : ( rc @ ( tc @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_reflexive_closure) ).
thf(trsc,definition,
( trsc
= ( ^ [R: $i > $i > $o] : ( sc @ ( rc @ ( tc @ R ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_reflexive_symmetric_closure) ).
thf(1,conjecture,
! [R: $i > $i > $o] :
( ( sconfl @ R )
=> ( cr @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',semi_confluence_implies_church_rosser) ).
thf(2,negated_conjecture,
( ( ! [R: $i > $i > $o] :
( ( sconfl @ R )
=> ( cr @ R ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY0: $i > $i > $o] :
( ! [SY1: $i,SY2: $i,SY3: $i] :
( ( ( SY0 @ SY1 @ SY3 )
& ( ( SY1 = SY2 )
| ! [SY37: $i > $i > $o] :
( ( ! [SY7: $i,SY8: $i,SY9: $i] :
( ( ( SY37 @ SY7 @ SY8 )
& ( SY37 @ SY8 @ SY9 ) )
=> ( SY37 @ SY7 @ SY9 ) )
& ! [SY13: $i,SY14: $i] :
( ( SY0 @ SY13 @ SY14 )
=> ( SY37 @ SY13 @ SY14 ) ) )
=> ( SY37 @ SY1 @ SY2 ) ) ) )
=> ? [SY138: $i] :
( ( ( SY3 = SY138 )
| ! [SY126: $i > $i > $o] :
( ( ! [SY49: $i,SY50: $i,SY51: $i] :
( ( ( SY126 @ SY49 @ SY50 )
& ( SY126 @ SY50 @ SY51 ) )
=> ( SY126 @ SY49 @ SY51 ) )
& ! [SY55: $i,SY56: $i] :
( ( SY0 @ SY55 @ SY56 )
=> ( SY126 @ SY55 @ SY56 ) ) )
=> ( SY126 @ SY3 @ SY138 ) ) )
& ( ( SY2 = SY138 )
| ! [SY145: $i > $i > $o] :
( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ( ( SY145 @ SY88 @ SY89 )
& ( SY145 @ SY89 @ SY90 ) )
=> ( SY145 @ SY88 @ SY90 ) )
& ! [SY94: $i,SY95: $i] :
( ( SY0 @ SY94 @ SY95 )
=> ( SY145 @ SY94 @ SY95 ) ) )
=> ( SY145 @ SY2 @ SY138 ) ) ) ) )
=> ! [SY151: $i,SY152: $i] :
( ( ( SY152 = SY151 )
| ! [SY220: $i > $i > $o] :
( ( ! [SY156: $i,SY157: $i,SY158: $i] :
( ( ( SY220 @ SY156 @ SY157 )
& ( SY220 @ SY157 @ SY158 ) )
=> ( SY220 @ SY156 @ SY158 ) )
& ! [SY162: $i,SY163: $i] :
( ( SY0 @ SY162 @ SY163 )
=> ( SY220 @ SY162 @ SY163 ) ) )
=> ( SY220 @ SY152 @ SY151 ) )
| ( SY151 = SY152 )
| ! [SY226: $i > $i > $o] :
( ( ! [SY156: $i,SY157: $i,SY158: $i] :
( ( ( SY226 @ SY156 @ SY157 )
& ( SY226 @ SY157 @ SY158 ) )
=> ( SY226 @ SY156 @ SY158 ) )
& ! [SY162: $i,SY163: $i] :
( ( SY0 @ SY162 @ SY163 )
=> ( SY226 @ SY162 @ SY163 ) ) )
=> ( SY226 @ SY151 @ SY152 ) ) )
=> ? [SY327: $i] :
( ( ( SY151 = SY327 )
| ! [SY315: $i > $i > $o] :
( ( ! [SY238: $i,SY239: $i,SY240: $i] :
( ( ( SY315 @ SY238 @ SY239 )
& ( SY315 @ SY239 @ SY240 ) )
=> ( SY315 @ SY238 @ SY240 ) )
& ! [SY244: $i,SY245: $i] :
( ( SY0 @ SY244 @ SY245 )
=> ( SY315 @ SY244 @ SY245 ) ) )
=> ( SY315 @ SY151 @ SY327 ) ) )
& ( ( SY152 = SY327 )
| ! [SY334: $i > $i > $o] :
( ( ! [SY277: $i,SY278: $i,SY279: $i] :
( ( ( SY334 @ SY277 @ SY278 )
& ( SY334 @ SY278 @ SY279 ) )
=> ( SY334 @ SY277 @ SY279 ) )
& ! [SY283: $i,SY284: $i] :
( ( SY0 @ SY283 @ SY284 )
=> ( SY334 @ SY283 @ SY284 ) ) )
=> ( SY334 @ SY152 @ SY327 ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,antisymm,asymm,confl,cr,idem,ind,infl,innf,inv,irrefl,join,lconfl,mono,nfof,norm,po,rc,refl,sc,sconfl,so,subrel,symm,tc,term,total,trans,trc,trsc]) ).
thf(4,plain,
( ( ! [SY390: $i,SY391: $i,SY392: $i] :
( ( ( sK1_SY0 @ SY390 @ SY392 )
& ( ( SY390 = SY391 )
| ! [SY393: $i > $i > $o] :
( ( ! [SY7: $i,SY8: $i,SY9: $i] :
( ( ( SY393 @ SY7 @ SY8 )
& ( SY393 @ SY8 @ SY9 ) )
=> ( SY393 @ SY7 @ SY9 ) )
& ! [SY397: $i,SY398: $i] :
( ( sK1_SY0 @ SY397 @ SY398 )
=> ( SY393 @ SY397 @ SY398 ) ) )
=> ( SY393 @ SY390 @ SY391 ) ) ) )
=> ? [SY399: $i] :
( ( ( SY392 = SY399 )
| ! [SY400: $i > $i > $o] :
( ( ! [SY49: $i,SY50: $i,SY51: $i] :
( ( ( SY400 @ SY49 @ SY50 )
& ( SY400 @ SY50 @ SY51 ) )
=> ( SY400 @ SY49 @ SY51 ) )
& ! [SY404: $i,SY405: $i] :
( ( sK1_SY0 @ SY404 @ SY405 )
=> ( SY400 @ SY404 @ SY405 ) ) )
=> ( SY400 @ SY392 @ SY399 ) ) )
& ( ( SY391 = SY399 )
| ! [SY406: $i > $i > $o] :
( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ( ( SY406 @ SY88 @ SY89 )
& ( SY406 @ SY89 @ SY90 ) )
=> ( SY406 @ SY88 @ SY90 ) )
& ! [SY410: $i,SY411: $i] :
( ( sK1_SY0 @ SY410 @ SY411 )
=> ( SY406 @ SY410 @ SY411 ) ) )
=> ( SY406 @ SY391 @ SY399 ) ) ) ) )
=> ! [SY412: $i,SY413: $i] :
( ( ( SY413 = SY412 )
| ! [SY414: $i > $i > $o] :
( ( ! [SY156: $i,SY157: $i,SY158: $i] :
( ( ( SY414 @ SY156 @ SY157 )
& ( SY414 @ SY157 @ SY158 ) )
=> ( SY414 @ SY156 @ SY158 ) )
& ! [SY418: $i,SY419: $i] :
( ( sK1_SY0 @ SY418 @ SY419 )
=> ( SY414 @ SY418 @ SY419 ) ) )
=> ( SY414 @ SY413 @ SY412 ) )
| ( SY412 = SY413 )
| ! [SY420: $i > $i > $o] :
( ( ! [SY156: $i,SY157: $i,SY158: $i] :
( ( ( SY420 @ SY156 @ SY157 )
& ( SY420 @ SY157 @ SY158 ) )
=> ( SY420 @ SY156 @ SY158 ) )
& ! [SY424: $i,SY425: $i] :
( ( sK1_SY0 @ SY424 @ SY425 )
=> ( SY420 @ SY424 @ SY425 ) ) )
=> ( SY420 @ SY412 @ SY413 ) ) )
=> ? [SY426: $i] :
( ( ( SY412 = SY426 )
| ! [SY427: $i > $i > $o] :
( ( ! [SY238: $i,SY239: $i,SY240: $i] :
( ( ( SY427 @ SY238 @ SY239 )
& ( SY427 @ SY239 @ SY240 ) )
=> ( SY427 @ SY238 @ SY240 ) )
& ! [SY431: $i,SY432: $i] :
( ( sK1_SY0 @ SY431 @ SY432 )
=> ( SY427 @ SY431 @ SY432 ) ) )
=> ( SY427 @ SY412 @ SY426 ) ) )
& ( ( SY413 = SY426 )
| ! [SY433: $i > $i > $o] :
( ( ! [SY277: $i,SY278: $i,SY279: $i] :
( ( ( SY433 @ SY277 @ SY278 )
& ( SY433 @ SY278 @ SY279 ) )
=> ( SY433 @ SY277 @ SY279 ) )
& ! [SY437: $i,SY438: $i] :
( ( sK1_SY0 @ SY437 @ SY438 )
=> ( SY433 @ SY437 @ SY438 ) ) )
=> ( SY433 @ SY413 @ SY426 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY390: $i,SY391: $i,SY392: $i] :
( ( ( sK1_SY0 @ SY390 @ SY392 )
& ( ( SY390 = SY391 )
| ! [SY393: $i > $i > $o] :
( ( ! [SY7: $i,SY8: $i,SY9: $i] :
( ( ( SY393 @ SY7 @ SY8 )
& ( SY393 @ SY8 @ SY9 ) )
=> ( SY393 @ SY7 @ SY9 ) )
& ! [SY397: $i,SY398: $i] :
( ( sK1_SY0 @ SY397 @ SY398 )
=> ( SY393 @ SY397 @ SY398 ) ) )
=> ( SY393 @ SY390 @ SY391 ) ) ) )
=> ? [SY399: $i] :
( ( ( SY392 = SY399 )
| ! [SY400: $i > $i > $o] :
( ( ! [SY49: $i,SY50: $i,SY51: $i] :
( ( ( SY400 @ SY49 @ SY50 )
& ( SY400 @ SY50 @ SY51 ) )
=> ( SY400 @ SY49 @ SY51 ) )
& ! [SY404: $i,SY405: $i] :
( ( sK1_SY0 @ SY404 @ SY405 )
=> ( SY400 @ SY404 @ SY405 ) ) )
=> ( SY400 @ SY392 @ SY399 ) ) )
& ( ( SY391 = SY399 )
| ! [SY406: $i > $i > $o] :
( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ( ( SY406 @ SY88 @ SY89 )
& ( SY406 @ SY89 @ SY90 ) )
=> ( SY406 @ SY88 @ SY90 ) )
& ! [SY410: $i,SY411: $i] :
( ( sK1_SY0 @ SY410 @ SY411 )
=> ( SY406 @ SY410 @ SY411 ) ) )
=> ( SY406 @ SY391 @ SY399 ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY412: $i,SY413: $i] :
( ( ( SY413 = SY412 )
| ! [SY414: $i > $i > $o] :
( ( ! [SY156: $i,SY157: $i,SY158: $i] :
( ( ( SY414 @ SY156 @ SY157 )
& ( SY414 @ SY157 @ SY158 ) )
=> ( SY414 @ SY156 @ SY158 ) )
& ! [SY418: $i,SY419: $i] :
( ( sK1_SY0 @ SY418 @ SY419 )
=> ( SY414 @ SY418 @ SY419 ) ) )
=> ( SY414 @ SY413 @ SY412 ) )
| ( SY412 = SY413 )
| ! [SY420: $i > $i > $o] :
( ( ! [SY156: $i,SY157: $i,SY158: $i] :
( ( ( SY420 @ SY156 @ SY157 )
& ( SY420 @ SY157 @ SY158 ) )
=> ( SY420 @ SY156 @ SY158 ) )
& ! [SY424: $i,SY425: $i] :
( ( sK1_SY0 @ SY424 @ SY425 )
=> ( SY420 @ SY424 @ SY425 ) ) )
=> ( SY420 @ SY412 @ SY413 ) ) )
=> ? [SY426: $i] :
( ( ( SY412 = SY426 )
| ! [SY427: $i > $i > $o] :
( ( ! [SY238: $i,SY239: $i,SY240: $i] :
( ( ( SY427 @ SY238 @ SY239 )
& ( SY427 @ SY239 @ SY240 ) )
=> ( SY427 @ SY238 @ SY240 ) )
& ! [SY431: $i,SY432: $i] :
( ( sK1_SY0 @ SY431 @ SY432 )
=> ( SY427 @ SY431 @ SY432 ) ) )
=> ( SY427 @ SY412 @ SY426 ) ) )
& ( ( SY413 = SY426 )
| ! [SY433: $i > $i > $o] :
( ( ! [SY277: $i,SY278: $i,SY279: $i] :
( ( ( SY433 @ SY277 @ SY278 )
& ( SY433 @ SY278 @ SY279 ) )
=> ( SY433 @ SY277 @ SY279 ) )
& ! [SY437: $i,SY438: $i] :
( ( sK1_SY0 @ SY437 @ SY438 )
=> ( SY433 @ SY437 @ SY438 ) ) )
=> ( SY433 @ SY413 @ SY426 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ! [SY412: $i,SY413: $i] :
( ( ( SY413 = SY412 )
| ! [SY414: $i > $i > $o] :
( ( ! [SY156: $i,SY157: $i,SY158: $i] :
( ( ( SY414 @ SY156 @ SY157 )
& ( SY414 @ SY157 @ SY158 ) )
=> ( SY414 @ SY156 @ SY158 ) )
& ! [SY418: $i,SY419: $i] :
( ( sK1_SY0 @ SY418 @ SY419 )
=> ( SY414 @ SY418 @ SY419 ) ) )
=> ( SY414 @ SY413 @ SY412 ) )
| ( SY412 = SY413 )
| ! [SY420: $i > $i > $o] :
( ( ! [SY156: $i,SY157: $i,SY158: $i] :
( ( ( SY420 @ SY156 @ SY157 )
& ( SY420 @ SY157 @ SY158 ) )
=> ( SY420 @ SY156 @ SY158 ) )
& ! [SY424: $i,SY425: $i] :
( ( sK1_SY0 @ SY424 @ SY425 )
=> ( SY420 @ SY424 @ SY425 ) ) )
=> ( SY420 @ SY412 @ SY413 ) ) )
=> ? [SY426: $i] :
( ( ( SY412 = SY426 )
| ! [SY427: $i > $i > $o] :
( ( ! [SY238: $i,SY239: $i,SY240: $i] :
( ( ( SY427 @ SY238 @ SY239 )
& ( SY427 @ SY239 @ SY240 ) )
=> ( SY427 @ SY238 @ SY240 ) )
& ! [SY431: $i,SY432: $i] :
( ( sK1_SY0 @ SY431 @ SY432 )
=> ( SY427 @ SY431 @ SY432 ) ) )
=> ( SY427 @ SY412 @ SY426 ) ) )
& ( ( SY413 = SY426 )
| ! [SY433: $i > $i > $o] :
( ( ! [SY277: $i,SY278: $i,SY279: $i] :
( ( ( SY433 @ SY277 @ SY278 )
& ( SY433 @ SY278 @ SY279 ) )
=> ( SY433 @ SY277 @ SY279 ) )
& ! [SY437: $i,SY438: $i] :
( ( sK1_SY0 @ SY437 @ SY438 )
=> ( SY433 @ SY437 @ SY438 ) ) )
=> ( SY433 @ SY413 @ SY426 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY390: $i,SY391: $i,SY392: $i] :
( ( ( sK1_SY0 @ SY390 @ SY392 )
& ( ( SY390 = SY391 )
| ! [SY393: $i > $i > $o] :
( ( ! [SY7: $i,SY8: $i,SY9: $i] :
( ( ( SY393 @ SY7 @ SY8 )
& ( SY393 @ SY8 @ SY9 ) )
=> ( SY393 @ SY7 @ SY9 ) )
& ! [SY397: $i,SY398: $i] :
( ( sK1_SY0 @ SY397 @ SY398 )
=> ( SY393 @ SY397 @ SY398 ) ) )
=> ( SY393 @ SY390 @ SY391 ) ) ) )
=> ? [SY399: $i] :
( ( ( SY392 = SY399 )
| ! [SY400: $i > $i > $o] :
( ( ! [SY49: $i,SY50: $i,SY51: $i] :
( ( ( SY400 @ SY49 @ SY50 )
& ( SY400 @ SY50 @ SY51 ) )
=> ( SY400 @ SY49 @ SY51 ) )
& ! [SY404: $i,SY405: $i] :
( ( sK1_SY0 @ SY404 @ SY405 )
=> ( SY400 @ SY404 @ SY405 ) ) )
=> ( SY400 @ SY392 @ SY399 ) ) )
& ( ( SY391 = SY399 )
| ! [SY406: $i > $i > $o] :
( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ( ( SY406 @ SY88 @ SY89 )
& ( SY406 @ SY89 @ SY90 ) )
=> ( SY406 @ SY88 @ SY90 ) )
& ! [SY410: $i,SY411: $i] :
( ( sK1_SY0 @ SY410 @ SY411 )
=> ( SY406 @ SY410 @ SY411 ) ) )
=> ( SY406 @ SY391 @ SY399 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(9,plain,
( ( ~ ! [SY412: $i,SY413: $i] :
( ( ( SY413 = SY412 )
| ! [SY414: $i > $i > $o] :
( ( ! [SY156: $i,SY157: $i,SY158: $i] :
( ( ( SY414 @ SY156 @ SY157 )
& ( SY414 @ SY157 @ SY158 ) )
=> ( SY414 @ SY156 @ SY158 ) )
& ! [SY418: $i,SY419: $i] :
( ( sK1_SY0 @ SY418 @ SY419 )
=> ( SY414 @ SY418 @ SY419 ) ) )
=> ( SY414 @ SY413 @ SY412 ) )
| ( SY412 = SY413 )
| ! [SY420: $i > $i > $o] :
( ( ! [SY156: $i,SY157: $i,SY158: $i] :
( ( ( SY420 @ SY156 @ SY157 )
& ( SY420 @ SY157 @ SY158 ) )
=> ( SY420 @ SY156 @ SY158 ) )
& ! [SY424: $i,SY425: $i] :
( ( sK1_SY0 @ SY424 @ SY425 )
=> ( SY420 @ SY424 @ SY425 ) ) )
=> ( SY420 @ SY412 @ SY413 ) ) )
=> ? [SY426: $i] :
( ( ( SY412 = SY426 )
| ! [SY427: $i > $i > $o] :
( ( ! [SY238: $i,SY239: $i,SY240: $i] :
( ( ( SY427 @ SY238 @ SY239 )
& ( SY427 @ SY239 @ SY240 ) )
=> ( SY427 @ SY238 @ SY240 ) )
& ! [SY431: $i,SY432: $i] :
( ( sK1_SY0 @ SY431 @ SY432 )
=> ( SY427 @ SY431 @ SY432 ) ) )
=> ( SY427 @ SY412 @ SY426 ) ) )
& ( ( SY413 = SY426 )
| ! [SY433: $i > $i > $o] :
( ( ! [SY277: $i,SY278: $i,SY279: $i] :
( ( ( SY433 @ SY277 @ SY278 )
& ( SY433 @ SY278 @ SY279 ) )
=> ( SY433 @ SY277 @ SY279 ) )
& ! [SY437: $i,SY438: $i] :
( ( sK1_SY0 @ SY437 @ SY438 )
=> ( SY433 @ SY437 @ SY438 ) ) )
=> ( SY433 @ SY413 @ SY426 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_SY0 @ SX0 @ SX2 )
| ~ ( ( SX0 = SX1 )
| ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX0 @ SX1 ) ) ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( ( SX2 = SX3 )
| ! [SX4: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SX4 @ SX5 @ SX6 )
| ~ ( SX4 @ SX6 @ SX7 ) )
| ( SX4 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SX4 @ SX5 @ SX6 ) ) )
| ( SX4 @ SX2 @ SX3 ) ) )
| ~ ( ( SX1 = SX3 )
| ! [SX4: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SX4 @ SX5 @ SX6 )
| ~ ( SX4 @ SX6 @ SX7 ) )
| ( SX4 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SX4 @ SX5 @ SX6 ) ) )
| ( SX4 @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,antisymm,asymm,confl,cr,idem,ind,infl,innf,inv,irrefl,join,lconfl,mono,nfof,norm,po,rc,refl,sc,sconfl,so,subrel,symm,tc,term,total,trans,trc,trsc]) ).
thf(11,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ( SX1 = SX0 )
| ! [SX2: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SX2 @ SX3 @ SX4 )
| ~ ( SX2 @ SX4 @ SX5 ) )
| ( SX2 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) ) )
| ( SX2 @ SX1 @ SX0 ) )
| ( SX0 = SX1 )
| ! [SX2: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SX2 @ SX3 @ SX4 )
| ~ ( SX2 @ SX4 @ SX5 ) )
| ( SX2 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) ) )
| ( SX2 @ SX0 @ SX1 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( ( SX0 = SX2 )
| ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX0 @ SX2 ) ) )
| ~ ( ( SX1 = SX2 )
| ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,antisymm,asymm,confl,cr,idem,ind,infl,innf,inv,irrefl,join,lconfl,mono,nfof,norm,po,rc,refl,sc,sconfl,so,subrel,symm,tc,term,total,trans,trc,trsc]) ).
thf(12,plain,
! [SV1: $i] :
( ( ! [SY439: $i,SY440: $i] :
( ~ ~ ( ~ ( sK1_SY0 @ SV1 @ SY440 )
| ~ ( ( SV1 = SY439 )
| ! [SY441: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY441 @ SX4 @ SX5 )
| ~ ( SY441 @ SX5 @ SX6 ) )
| ( SY441 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY441 @ SX4 @ SX5 ) ) )
| ( SY441 @ SV1 @ SY439 ) ) ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( ( SY440 = SX3 )
| ! [SX4: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SX4 @ SX5 @ SX6 )
| ~ ( SX4 @ SX6 @ SX7 ) )
| ( SX4 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SX4 @ SX5 @ SX6 ) ) )
| ( SX4 @ SY440 @ SX3 ) ) )
| ~ ( ( SY439 = SX3 )
| ! [SX4: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SX4 @ SX5 @ SX6 )
| ~ ( SX4 @ SX6 @ SX7 ) )
| ( SX4 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SX4 @ SX5 @ SX6 ) ) )
| ( SX4 @ SY439 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ( SX1 = SX0 )
| ! [SX2: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SX2 @ SX3 @ SX4 )
| ~ ( SX2 @ SX4 @ SX5 ) )
| ( SX2 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) ) )
| ( SX2 @ SX1 @ SX0 ) )
| ( SX0 = SX1 )
| ! [SX2: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SX2 @ SX3 @ SX4 )
| ~ ( SX2 @ SX4 @ SX5 ) )
| ( SX2 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) ) )
| ( SX2 @ SX0 @ SX1 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( ( SX0 = SX2 )
| ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX0 @ SX2 ) ) )
| ~ ( ( SX1 = SX2 )
| ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY460: $i] :
( ~ ~ ( ~ ( sK1_SY0 @ SV1 @ SY460 )
| ~ ( ( SV1 = SV2 )
| ! [SY461: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY461 @ SX4 @ SX5 )
| ~ ( SY461 @ SX5 @ SX6 ) )
| ( SY461 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY461 @ SX4 @ SX5 ) ) )
| ( SY461 @ SV1 @ SV2 ) ) ) )
| ~ ! [SY467: $i] :
~ ~ ( ~ ( ( SY460 = SY467 )
| ! [SX4: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SX4 @ SX5 @ SX6 )
| ~ ( SX4 @ SX6 @ SX7 ) )
| ( SX4 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SX4 @ SX5 @ SX6 ) ) )
| ( SX4 @ SY460 @ SY467 ) ) )
| ~ ( ( SV2 = SY467 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY467 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SY480: $i] :
( ~ ( ( SY480 = sK2_SX0 )
| ! [SY481: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY481 @ SX3 @ SX4 )
| ~ ( SY481 @ SX4 @ SX5 ) )
| ( SY481 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY481 @ SX3 @ SX4 ) ) )
| ( SY481 @ SY480 @ sK2_SX0 ) )
| ( sK2_SX0 = SY480 )
| ! [SY487: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY487 @ SX3 @ SX4 )
| ~ ( SY487 @ SX4 @ SX5 ) )
| ( SY487 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY487 @ SX3 @ SX4 ) ) )
| ( SY487 @ sK2_SX0 @ SY480 ) ) )
| ~ ! [SY493: $i] :
~ ~ ( ~ ( ( sK2_SX0 = SY493 )
| ! [SY494: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY494 @ SX4 @ SX5 )
| ~ ( SY494 @ SX5 @ SX6 ) )
| ( SY494 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY494 @ SX4 @ SX5 ) ) )
| ( SY494 @ sK2_SX0 @ SY493 ) ) )
| ~ ( ( SY480 = SY493 )
| ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SY480 @ SY493 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[13]) ).
thf(16,plain,
! [SV2: $i,SV3: $i,SV1: $i] :
( ( ~ ~ ( ~ ( sK1_SY0 @ SV1 @ SV3 )
| ~ ( ( SV1 = SV2 )
| ! [SY461: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY461 @ SX4 @ SX5 )
| ~ ( SY461 @ SX5 @ SX6 ) )
| ( SY461 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY461 @ SX4 @ SX5 ) ) )
| ( SY461 @ SV1 @ SV2 ) ) ) )
| ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( ( sK3_SY480 = sK2_SX0 )
| ! [SY525: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY525 @ SX3 @ SX4 )
| ~ ( SY525 @ SX4 @ SX5 ) )
| ( SY525 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY525 @ SX3 @ SX4 ) ) )
| ( SY525 @ sK3_SY480 @ sK2_SX0 ) )
| ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
| ~ ! [SY537: $i] :
~ ~ ( ~ ( ( sK2_SX0 = SY537 )
| ! [SY494: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY494 @ SX4 @ SX5 )
| ~ ( SY494 @ SX5 @ SX6 ) )
| ( SY494 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY494 @ SX4 @ SX5 ) ) )
| ( SY494 @ sK2_SX0 @ SY537 ) ) )
| ~ ( ( sK3_SY480 = SY537 )
| ! [SY544: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY544 @ SX4 @ SX5 )
| ~ ( SY544 @ SX5 @ SX6 ) )
| ( SY544 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY544 @ SX4 @ SX5 ) ) )
| ( SY544 @ sK3_SY480 @ SY537 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(18,plain,
! [SV2: $i,SV3: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( sK1_SY0 @ SV1 @ SV3 )
| ~ ( ( SV1 = SV2 )
| ! [SY461: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY461 @ SX4 @ SX5 )
| ~ ( SY461 @ SX5 @ SX6 ) )
| ( SY461 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY461 @ SX4 @ SX5 ) ) )
| ( SY461 @ SV1 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( ( sK3_SY480 = sK2_SX0 )
| ! [SY525: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY525 @ SX3 @ SX4 )
| ~ ( SY525 @ SX4 @ SX5 ) )
| ( SY525 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY525 @ SX3 @ SX4 ) ) )
| ( SY525 @ sK3_SY480 @ sK2_SX0 ) )
| ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ! [SY537: $i] :
~ ~ ( ~ ( ( sK2_SX0 = SY537 )
| ! [SY494: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY494 @ SX4 @ SX5 )
| ~ ( SY494 @ SX5 @ SX6 ) )
| ( SY494 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY494 @ SX4 @ SX5 ) ) )
| ( SY494 @ sK2_SX0 @ SY537 ) ) )
| ~ ( ( sK3_SY480 = SY537 )
| ! [SY544: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY544 @ SX4 @ SX5 )
| ~ ( SY544 @ SX5 @ SX6 ) )
| ( SY544 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY544 @ SX4 @ SX5 ) ) )
| ( SY544 @ sK3_SY480 @ SY537 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ~ ( sK1_SY0 @ SV1 @ SV3 )
| ~ ( ( SV1 = SV2 )
| ! [SY461: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY461 @ SX4 @ SX5 )
| ~ ( SY461 @ SX5 @ SX6 ) )
| ( SY461 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY461 @ SX4 @ SX5 ) ) )
| ( SY461 @ SV1 @ SV2 ) ) ) ) )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ( sK3_SY480 = sK2_SX0 )
| ! [SY525: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY525 @ SX3 @ SX4 )
| ~ ( SY525 @ SX4 @ SX5 ) )
| ( SY525 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY525 @ SX3 @ SX4 ) ) )
| ( SY525 @ sK3_SY480 @ sK2_SX0 ) )
| ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ! [SY537: $i] :
~ ~ ( ~ ( ( sK2_SX0 = SY537 )
| ! [SY494: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY494 @ SX4 @ SX5 )
| ~ ( SY494 @ SX5 @ SX6 ) )
| ( SY494 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY494 @ SX4 @ SX5 ) ) )
| ( SY494 @ sK2_SX0 @ SY537 ) ) )
| ~ ( ( sK3_SY480 = SY537 )
| ! [SY544: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY544 @ SX4 @ SX5 )
| ~ ( SY544 @ SX5 @ SX6 ) )
| ( SY544 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY544 @ SX4 @ SX5 ) ) )
| ( SY544 @ sK3_SY480 @ SY537 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( sK1_SY0 @ SV1 @ SV3 )
| ~ ( ( SV1 = SV2 )
| ! [SY461: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY461 @ SX4 @ SX5 )
| ~ ( SY461 @ SX5 @ SX6 ) )
| ( SY461 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY461 @ SX4 @ SX5 ) ) )
| ( SY461 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ( ( sK3_SY480 = sK2_SX0 )
| ! [SY525: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY525 @ SX3 @ SX4 )
| ~ ( SY525 @ SX4 @ SX5 ) )
| ( SY525 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY525 @ SX3 @ SX4 ) ) )
| ( SY525 @ sK3_SY480 @ sK2_SX0 ) ) )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ( ( sK2_SX0 = SV4 )
| ! [SY550: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY550 @ SX4 @ SX5 )
| ~ ( SY550 @ SX5 @ SX6 ) )
| ( SY550 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY550 @ SX4 @ SX5 ) ) )
| ( SY550 @ sK2_SX0 @ SV4 ) ) )
| ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( sK1_SY0 @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( ( SV1 = SV2 )
| ! [SY461: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY461 @ SX4 @ SX5 )
| ~ ( SY461 @ SX5 @ SX6 ) )
| ( SY461 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY461 @ SX4 @ SX5 ) ) )
| ( SY461 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ! [SY525: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY525 @ SX3 @ SX4 )
| ~ ( SY525 @ SX4 @ SX5 ) )
| ( SY525 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY525 @ SX3 @ SX4 ) ) )
| ( SY525 @ sK3_SY480 @ sK2_SX0 ) ) )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV4: $i] :
( ( ~ ( ~ ( ( sK2_SX0 = SV4 )
| ! [SY550: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY550 @ SX4 @ SX5 )
| ~ ( SY550 @ SX5 @ SX6 ) )
| ( SY550 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY550 @ SX4 @ SX5 ) ) )
| ( SY550 @ sK2_SX0 @ SV4 ) ) )
| ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: $i,SV3: $i,SV1: $i] :
( ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ( ( SV1 = SV2 )
| ! [SY461: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY461 @ SX4 @ SX5 )
| ~ ( SY461 @ SX5 @ SX6 ) )
| ( SY461 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY461 @ SX4 @ SX5 ) ) )
| ( SY461 @ SV1 @ SV2 ) ) ) )
= $true )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY562: $i,SY563: $i,SY564: $i] :
( ~ ~ ( ~ ( SV5 @ SY562 @ SY563 )
| ~ ( SV5 @ SY563 @ SY564 ) )
| ( SV5 @ SY562 @ SY564 ) )
| ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
| ( SV5 @ sK3_SY480 @ sK2_SX0 ) )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV4: $i] :
( ( ~ ( ( sK2_SX0 = SV4 )
| ! [SY550: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY550 @ SX4 @ SX5 )
| ~ ( SY550 @ SX5 @ SX6 ) )
| ( SY550 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY550 @ SX4 @ SX5 ) ) )
| ( SY550 @ sK2_SX0 @ SV4 ) ) )
| ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( ( SV1 = SV2 )
| ! [SY461: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY461 @ SX4 @ SX5 )
| ~ ( SY461 @ SX5 @ SX6 ) )
| ( SY461 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY461 @ SX4 @ SX5 ) ) )
| ( SY461 @ SV1 @ SV2 ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY562: $i,SY563: $i,SY564: $i] :
( ~ ~ ( ~ ( SV5 @ SY562 @ SY563 )
| ~ ( SV5 @ SY563 @ SY564 ) )
| ( SV5 @ SY562 @ SY564 ) )
| ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV4: $i] :
( ( ( ~ ( ( sK2_SX0 = SV4 )
| ! [SY550: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY550 @ SX4 @ SX5 )
| ~ ( SY550 @ SX5 @ SX6 ) )
| ( SY550 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY550 @ SX4 @ SX5 ) ) )
| ( SY550 @ sK2_SX0 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( SV1 = SV2 )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( ! [SY461: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY461 @ SX4 @ SX5 )
| ~ ( SY461 @ SX5 @ SX6 ) )
| ( SY461 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY461 @ SX4 @ SX5 ) ) )
| ( SY461 @ SV1 @ SV2 ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY562: $i,SY563: $i,SY564: $i] :
( ~ ~ ( ~ ( SV5 @ SY562 @ SY563 )
| ~ ( SV5 @ SY563 @ SY564 ) )
| ( SV5 @ SY562 @ SY564 ) )
| ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) ) )
= $false )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV4: $i] :
( ( ( ( sK2_SX0 = SV4 )
| ! [SY550: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY550 @ SX4 @ SX5 )
| ~ ( SY550 @ SX5 @ SX6 ) )
| ( SY550 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY550 @ SX4 @ SX5 ) ) )
| ( SY550 @ sK2_SX0 @ SV4 ) ) )
= $false )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ! [SY567: $i,SY568: $i,SY569: $i] :
( ~ ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY568 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY568 @ SY569 ) )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY569 ) )
| ~ ! [SY570: $i,SY571: $i] :
( ~ ( sK1_SY0 @ SY570 @ SY571 )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY570 @ SY571 ) ) )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(42,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ! [SY562: $i,SY563: $i,SY564: $i] :
( ~ ~ ( ~ ( SV5 @ SY562 @ SY563 )
| ~ ( SV5 @ SY563 @ SY564 ) )
| ( SV5 @ SY562 @ SY564 ) )
| ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV4: $i] :
( ( ( sK2_SX0 = SV4 )
= $false )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV4: $i] :
( ( ( ! [SY550: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY550 @ SX4 @ SX5 )
| ~ ( SY550 @ SX5 @ SX6 ) )
| ( SY550 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY550 @ SX4 @ SX5 ) ) )
| ( SY550 @ sK2_SX0 @ SV4 ) ) )
= $false )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(45,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY572: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY572 @ SX5 @ SX6 )
| ~ ( SY572 @ SX6 @ SX7 ) )
| ( SY572 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY572 @ SX5 @ SX6 ) ) )
| ( SY572 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY578: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY578 @ SX5 @ SX6 )
| ~ ( SY578 @ SX6 @ SX7 ) )
| ( SY578 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY578 @ SX5 @ SX6 ) ) )
| ( SY578 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[40]) ).
thf(46,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ! [SY567: $i,SY568: $i,SY569: $i] :
( ~ ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY568 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY568 @ SY569 ) )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY569 ) )
| ~ ! [SY570: $i,SY571: $i] :
( ~ ( sK1_SY0 @ SY570 @ SY571 )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY570 @ SY571 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ! [SY562: $i,SY563: $i,SY564: $i] :
( ~ ~ ( ~ ( SV5 @ SY562 @ SY563 )
| ~ ( SV5 @ SY563 @ SY564 ) )
| ( SV5 @ SY562 @ SY564 ) ) )
= $true )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV4: $i] :
( ( ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY584: $i,SY585: $i,SY586: $i] :
( ~ ~ ( ~ ( sK6_SY550 @ SV4 @ SY584 @ SY585 )
| ~ ( sK6_SY550 @ SV4 @ SY585 @ SY586 ) )
| ( sK6_SY550 @ SV4 @ SY584 @ SY586 ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( sK1_SY0 @ SY587 @ SY588 )
| ( sK6_SY550 @ SV4 @ SY587 @ SY588 ) ) )
| ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
= $false )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(51,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( ~ ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY572: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY572 @ SX5 @ SX6 )
| ~ ( SY572 @ SX6 @ SX7 ) )
| ( SY572 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY572 @ SX5 @ SX6 ) ) )
| ( SY572 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY578: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY578 @ SX5 @ SX6 )
| ~ ( SY578 @ SX6 @ SX7 ) )
| ( SY578 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY578 @ SX5 @ SX6 ) ) )
| ( SY578 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ( ~ ! [SY567: $i,SY568: $i,SY569: $i] :
( ~ ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY568 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY568 @ SY569 ) )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY569 ) )
| ~ ! [SY570: $i,SY571: $i] :
( ~ ( sK1_SY0 @ SY570 @ SY571 )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY570 @ SY571 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(53,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV5: $i > $i > $o] :
( ( ( ! [SY562: $i,SY563: $i,SY564: $i] :
( ~ ~ ( ~ ( SV5 @ SY562 @ SY563 )
| ~ ( SV5 @ SY563 @ SY564 ) )
| ( SV5 @ SY562 @ SY564 ) ) )
= $false )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV4: $i] :
( ( ( sK3_SY480 = SV4 )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV4: $i] :
( ( ( ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(57,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY584: $i,SY585: $i,SY586: $i] :
( ~ ~ ( ~ ( sK6_SY550 @ SV4 @ SY584 @ SY585 )
| ~ ( sK6_SY550 @ SV4 @ SY585 @ SY586 ) )
| ( sK6_SY550 @ SV4 @ SY584 @ SY586 ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( sK1_SY0 @ SY587 @ SY588 )
| ( sK6_SY550 @ SV4 @ SY587 @ SY588 ) ) ) )
= $false )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(58,plain,
! [SV4: $i] :
( ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(59,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY572: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY572 @ SX5 @ SX6 )
| ~ ( SY572 @ SX6 @ SX7 ) )
| ( SY572 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY572 @ SX5 @ SX6 ) ) )
| ( SY572 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY578: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY578 @ SX5 @ SX6 )
| ~ ( SY578 @ SX6 @ SX7 ) )
| ( SY578 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY578 @ SX5 @ SX6 ) ) )
| ( SY578 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ! [SY567: $i,SY568: $i,SY569: $i] :
( ~ ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY568 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY568 @ SY569 ) )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY569 ) )
| ~ ! [SY570: $i,SY571: $i] :
( ~ ( sK1_SY0 @ SY570 @ SY571 )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY570 @ SY571 ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY589: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY589 @ SX5 @ SX6 )
| ~ ( SY589 @ SX6 @ SX7 ) )
| ( SY589 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY589 @ SX5 @ SX6 ) ) )
| ( SY589 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY595: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY595 @ SX5 @ SX6 )
| ~ ( SY595 @ SX6 @ SX7 ) )
| ( SY595 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY595 @ SX5 @ SX6 ) ) )
| ( SY595 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(62,plain,
! [SV5: $i > $i > $o] :
( ( ( ! [SY601: $i,SY602: $i] :
( ~ ~ ( ~ ( SV5 @ ( sK8_SY562 @ SV5 ) @ SY601 )
| ~ ( SV5 @ SY601 @ SY602 ) )
| ( SV5 @ ( sK8_SY562 @ SV5 ) @ SY602 ) ) )
= $false )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[54]) ).
thf(63,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY603: $i,SY604: $i,SY605: $i] :
( ~ ~ ( ~ ( sK9_SY556 @ SV4 @ SY603 @ SY604 )
| ~ ( sK9_SY556 @ SV4 @ SY604 @ SY605 ) )
| ( sK9_SY556 @ SV4 @ SY603 @ SY605 ) )
| ~ ! [SY606: $i,SY607: $i] :
( ~ ( sK1_SY0 @ SY606 @ SY607 )
| ( sK9_SY556 @ SV4 @ SY606 @ SY607 ) ) )
| ( sK9_SY556 @ SV4 @ sK3_SY480 @ SV4 ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[56]) ).
thf(64,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ! [SY584: $i,SY585: $i,SY586: $i] :
( ~ ~ ( ~ ( sK6_SY550 @ SV4 @ SY584 @ SY585 )
| ~ ( sK6_SY550 @ SV4 @ SY585 @ SY586 ) )
| ( sK6_SY550 @ SV4 @ SY584 @ SY586 ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( sK1_SY0 @ SY587 @ SY588 )
| ( sK6_SY550 @ SV4 @ SY587 @ SY588 ) ) ) )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(65,plain,
! [SV4: $i] :
( ( ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY572: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY572 @ SX5 @ SX6 )
| ~ ( SY572 @ SX6 @ SX7 ) )
| ( SY572 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY572 @ SX5 @ SX6 ) ) )
| ( SY572 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY578: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY578 @ SX5 @ SX6 )
| ~ ( SY578 @ SX6 @ SX7 ) )
| ( SY578 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY578 @ SX5 @ SX6 ) ) )
| ( SY578 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(68,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ! [SY567: $i,SY568: $i,SY569: $i] :
( ~ ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY568 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY568 @ SY569 ) )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY569 ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(69,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ! [SY570: $i,SY571: $i] :
( ~ ( sK1_SY0 @ SY570 @ SY571 )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY570 @ SY571 ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(70,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( ~ ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY589: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY589 @ SX5 @ SX6 )
| ~ ( SY589 @ SX6 @ SX7 ) )
| ( SY589 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY589 @ SX5 @ SX6 ) ) )
| ( SY589 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY595: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY595 @ SX5 @ SX6 )
| ~ ( SY595 @ SX6 @ SX7 ) )
| ( SY595 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY595 @ SX5 @ SX6 ) ) )
| ( SY595 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(71,plain,
! [SV5: $i > $i > $o] :
( ( ( ! [SY608: $i] :
( ~ ~ ( ~ ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
| ~ ( SV5 @ ( sK10_SY601 @ SV5 ) @ SY608 ) )
| ( SV5 @ ( sK8_SY562 @ SV5 ) @ SY608 ) ) )
= $false )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[62]) ).
thf(72,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY603: $i,SY604: $i,SY605: $i] :
( ~ ~ ( ~ ( sK9_SY556 @ SV4 @ SY603 @ SY604 )
| ~ ( sK9_SY556 @ SV4 @ SY604 @ SY605 ) )
| ( sK9_SY556 @ SV4 @ SY603 @ SY605 ) )
| ~ ! [SY606: $i,SY607: $i] :
( ~ ( sK1_SY0 @ SY606 @ SY607 )
| ( sK9_SY556 @ SV4 @ SY606 @ SY607 ) ) ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(73,plain,
! [SV4: $i] :
( ( ( sK9_SY556 @ SV4 @ sK3_SY480 @ SV4 )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(74,plain,
! [SV4: $i] :
( ( ( ~ ! [SY584: $i,SY585: $i,SY586: $i] :
( ~ ~ ( ~ ( sK6_SY550 @ SV4 @ SY584 @ SY585 )
| ~ ( sK6_SY550 @ SV4 @ SY585 @ SY586 ) )
| ( sK6_SY550 @ SV4 @ SY584 @ SY586 ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( sK1_SY0 @ SY587 @ SY588 )
| ( sK6_SY550 @ SV4 @ SY587 @ SY588 ) ) )
= $false )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(75,plain,
! [SV4: $i] :
( ( ( sK3_SY480 = SV4 )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(76,plain,
! [SV4: $i] :
( ( ( ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(77,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY572: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY572 @ SX5 @ SX6 )
| ~ ( SY572 @ SX6 @ SX7 ) )
| ( SY572 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY572 @ SX5 @ SX6 ) ) )
| ( SY572 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(78,plain,
! [SV3: $i,SV1: $i,SV2: $i] :
( ( ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY578: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY578 @ SX5 @ SX6 )
| ~ ( SY578 @ SX6 @ SX7 ) )
| ( SY578 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY578 @ SX5 @ SX6 ) ) )
| ( SY578 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(79,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( ! [SY567: $i,SY568: $i,SY569: $i] :
( ~ ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY568 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY568 @ SY569 ) )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY567 @ SY569 ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(80,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ( ! [SY570: $i,SY571: $i] :
( ~ ( sK1_SY0 @ SY570 @ SY571 )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY570 @ SY571 ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(81,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY589: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY589 @ SX5 @ SX6 )
| ~ ( SY589 @ SX6 @ SX7 ) )
| ( SY589 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY589 @ SX5 @ SX6 ) ) )
| ( SY589 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY595: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY595 @ SX5 @ SX6 )
| ~ ( SY595 @ SX6 @ SX7 ) )
| ( SY595 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY595 @ SX5 @ SX6 ) ) )
| ( SY595 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(82,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
| ~ ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) ) )
| ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) ) )
= $false )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[71]) ).
thf(83,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ! [SY603: $i,SY604: $i,SY605: $i] :
( ~ ~ ( ~ ( sK9_SY556 @ SV4 @ SY603 @ SY604 )
| ~ ( sK9_SY556 @ SV4 @ SY604 @ SY605 ) )
| ( sK9_SY556 @ SV4 @ SY603 @ SY605 ) )
| ~ ! [SY606: $i,SY607: $i] :
( ~ ( sK1_SY0 @ SY606 @ SY607 )
| ( sK9_SY556 @ SV4 @ SY606 @ SY607 ) ) ) )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(84,plain,
! [SV4: $i] :
( ( ( ~ ! [SY584: $i,SY585: $i,SY586: $i] :
( ~ ~ ( ~ ( sK6_SY550 @ SV4 @ SY584 @ SY585 )
| ~ ( sK6_SY550 @ SV4 @ SY585 @ SY586 ) )
| ( sK6_SY550 @ SV4 @ SY584 @ SY586 ) ) )
= $false )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(85,plain,
! [SV4: $i] :
( ( ( ~ ! [SY587: $i,SY588: $i] :
( ~ ( sK1_SY0 @ SY587 @ SY588 )
| ( sK6_SY550 @ SV4 @ SY587 @ SY588 ) ) )
= $false )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(86,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY609: $i,SY610: $i,SY611: $i] :
( ~ ~ ( ~ ( sK12_SY556 @ SV4 @ SY609 @ SY610 )
| ~ ( sK12_SY556 @ SV4 @ SY610 @ SY611 ) )
| ( sK12_SY556 @ SV4 @ SY609 @ SY611 ) )
| ~ ! [SY612: $i,SY613: $i] :
( ~ ( sK1_SY0 @ SY612 @ SY613 )
| ( sK12_SY556 @ SV4 @ SY612 @ SY613 ) ) )
| ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[76]) ).
thf(87,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY572: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY572 @ SX5 @ SX6 )
| ~ ( SY572 @ SX6 @ SX7 ) )
| ( SY572 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY572 @ SX5 @ SX6 ) ) )
| ( SY572 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV3: $i,SV1: $i,SV2: $i] :
( ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY578: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY578 @ SX5 @ SX6 )
| ~ ( SY578 @ SX6 @ SX7 ) )
| ( SY578 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY578 @ SX5 @ SX6 ) ) )
| ( SY578 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(89,plain,
! [SV6: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( ! [SY614: $i,SY615: $i] :
( ~ ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SY614 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SY614 @ SY615 ) )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SY615 ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV7: $i] :
( ( ( ! [SY616: $i] :
( ~ ( sK1_SY0 @ SV7 @ SY616 )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SY616 ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(91,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY589: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY589 @ SX5 @ SX6 )
| ~ ( SY589 @ SX6 @ SX7 ) )
| ( SY589 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY589 @ SX5 @ SX6 ) ) )
| ( SY589 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(92,plain,
! [SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY595: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY595 @ SX5 @ SX6 )
| ~ ( SY595 @ SX6 @ SX7 ) )
| ( SY595 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY595 @ SX5 @ SX6 ) ) )
| ( SY595 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(93,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
| ~ ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) ) ) )
= $false )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(94,plain,
! [SV5: $i > $i > $o] :
( ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(95,plain,
! [SV4: $i] :
( ( ( ~ ! [SY603: $i,SY604: $i,SY605: $i] :
( ~ ~ ( ~ ( sK9_SY556 @ SV4 @ SY603 @ SY604 )
| ~ ( sK9_SY556 @ SV4 @ SY604 @ SY605 ) )
| ( sK9_SY556 @ SV4 @ SY603 @ SY605 ) )
| ~ ! [SY606: $i,SY607: $i] :
( ~ ( sK1_SY0 @ SY606 @ SY607 )
| ( sK9_SY556 @ SV4 @ SY606 @ SY607 ) ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV4: $i] :
( ( ( ! [SY584: $i,SY585: $i,SY586: $i] :
( ~ ~ ( ~ ( sK6_SY550 @ SV4 @ SY584 @ SY585 )
| ~ ( sK6_SY550 @ SV4 @ SY585 @ SY586 ) )
| ( sK6_SY550 @ SV4 @ SY584 @ SY586 ) ) )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(97,plain,
! [SV4: $i] :
( ( ( ! [SY587: $i,SY588: $i] :
( ~ ( sK1_SY0 @ SY587 @ SY588 )
| ( sK6_SY550 @ SV4 @ SY587 @ SY588 ) ) )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(98,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY609: $i,SY610: $i,SY611: $i] :
( ~ ~ ( ~ ( sK12_SY556 @ SV4 @ SY609 @ SY610 )
| ~ ( sK12_SY556 @ SV4 @ SY610 @ SY611 ) )
| ( sK12_SY556 @ SV4 @ SY609 @ SY611 ) )
| ~ ! [SY612: $i,SY613: $i] :
( ~ ( sK1_SY0 @ SY612 @ SY613 )
| ( sK12_SY556 @ SV4 @ SY612 @ SY613 ) ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(99,plain,
! [SV4: $i] :
( ( ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(100,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY617: $i,SY618: $i,SY619: $i] :
( ~ ~ ( ~ ( SV8 @ SY617 @ SY618 )
| ~ ( SV8 @ SY618 @ SY619 ) )
| ( SV8 @ SY617 @ SY619 ) )
| ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
| ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(101,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY622: $i,SY623: $i,SY624: $i] :
( ~ ~ ( ~ ( SV9 @ SY622 @ SY623 )
| ~ ( SV9 @ SY623 @ SY624 ) )
| ( SV9 @ SY622 @ SY624 ) )
| ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
| ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(102,plain,
! [SV10: $i,SV6: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( ! [SY627: $i] :
( ~ ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SY627 ) )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SY627 ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(103,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( sK1_SY0 @ SV7 @ SV11 )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(104,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY589: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY589 @ SX5 @ SX6 )
| ~ ( SY589 @ SX6 @ SX7 ) )
| ( SY589 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY589 @ SX5 @ SX6 ) ) )
| ( SY589 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(105,plain,
! [SV3: $i,SV1: $i,SV2: $i] :
( ( ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
| ! [SY595: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY595 @ SX5 @ SX6 )
| ~ ( SY595 @ SX6 @ SX7 ) )
| ( SY595 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY595 @ SX5 @ SX6 ) ) )
| ( SY595 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(106,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( ~ ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
| ~ ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) ) ) )
= $true )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(107,plain,
! [SV5: $i > $i > $o] :
( ( ( ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $false )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(108,plain,
! [SV4: $i] :
( ( ( ~ ! [SY603: $i,SY604: $i,SY605: $i] :
( ~ ~ ( ~ ( sK9_SY556 @ SV4 @ SY603 @ SY604 )
| ~ ( sK9_SY556 @ SV4 @ SY604 @ SY605 ) )
| ( sK9_SY556 @ SV4 @ SY603 @ SY605 ) ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(109,plain,
! [SV4: $i] :
( ( ( ~ ! [SY606: $i,SY607: $i] :
( ~ ( sK1_SY0 @ SY606 @ SY607 )
| ( sK9_SY556 @ SV4 @ SY606 @ SY607 ) ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(110,plain,
! [SV12: $i,SV4: $i] :
( ( ( ! [SY628: $i,SY629: $i] :
( ~ ~ ( ~ ( sK6_SY550 @ SV4 @ SV12 @ SY628 )
| ~ ( sK6_SY550 @ SV4 @ SY628 @ SY629 ) )
| ( sK6_SY550 @ SV4 @ SV12 @ SY629 ) ) )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV4: $i,SV13: $i] :
( ( ( ! [SY630: $i] :
( ~ ( sK1_SY0 @ SV13 @ SY630 )
| ( sK6_SY550 @ SV4 @ SV13 @ SY630 ) ) )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ! [SY609: $i,SY610: $i,SY611: $i] :
( ~ ~ ( ~ ( sK12_SY556 @ SV4 @ SY609 @ SY610 )
| ~ ( sK12_SY556 @ SV4 @ SY610 @ SY611 ) )
| ( sK12_SY556 @ SV4 @ SY609 @ SY611 ) )
| ~ ! [SY612: $i,SY613: $i] :
( ~ ( sK1_SY0 @ SY612 @ SY613 )
| ( sK12_SY556 @ SV4 @ SY612 @ SY613 ) ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(113,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY617: $i,SY618: $i,SY619: $i] :
( ~ ~ ( ~ ( SV8 @ SY617 @ SY618 )
| ~ ( SV8 @ SY618 @ SY619 ) )
| ( SV8 @ SY617 @ SY619 ) )
| ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(114,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY622: $i,SY623: $i,SY624: $i] :
( ~ ~ ( ~ ( SV9 @ SY622 @ SY623 )
| ~ ( SV9 @ SY623 @ SY624 ) )
| ( SV9 @ SY622 @ SY624 ) )
| ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(115,plain,
! [SV14: $i,SV10: $i,SV6: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 ) )
| ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( sK1_SY0 @ SV7 @ SV11 ) )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY589: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY589 @ SX5 @ SX6 )
| ~ ( SY589 @ SX6 @ SX7 ) )
| ( SY589 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY589 @ SX5 @ SX6 ) ) )
| ( SY589 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV3: $i,SV1: $i,SV2: $i] :
( ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY595: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY595 @ SX5 @ SX6 )
| ~ ( SY595 @ SX6 @ SX7 ) )
| ( SY595 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY595 @ SX5 @ SX6 ) ) )
| ( SY595 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(119,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
| ~ ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) ) )
= $false )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(120,plain,
! [SV5: $i > $i > $o] :
( ( ( ! [SY631: $i] :
( ~ ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ SY631 )
| ( SV5 @ ( sK13_SY565 @ SV5 ) @ SY631 ) ) )
= $false )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[107]) ).
thf(121,plain,
! [SV4: $i] :
( ( ( ! [SY603: $i,SY604: $i,SY605: $i] :
( ~ ~ ( ~ ( sK9_SY556 @ SV4 @ SY603 @ SY604 )
| ~ ( sK9_SY556 @ SV4 @ SY604 @ SY605 ) )
| ( sK9_SY556 @ SV4 @ SY603 @ SY605 ) ) )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(122,plain,
! [SV4: $i] :
( ( ( ! [SY606: $i,SY607: $i] :
( ~ ( sK1_SY0 @ SY606 @ SY607 )
| ( sK9_SY556 @ SV4 @ SY606 @ SY607 ) ) )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(123,plain,
! [SV15: $i,SV12: $i,SV4: $i] :
( ( ( ! [SY632: $i] :
( ~ ~ ( ~ ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
| ~ ( sK6_SY550 @ SV4 @ SV15 @ SY632 ) )
| ( sK6_SY550 @ SV4 @ SV12 @ SY632 ) ) )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV4: $i,SV16: $i,SV13: $i] :
( ( ( ~ ( sK1_SY0 @ SV13 @ SV16 )
| ( sK6_SY550 @ SV4 @ SV13 @ SV16 ) )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV4: $i] :
( ( ( ~ ! [SY609: $i,SY610: $i,SY611: $i] :
( ~ ~ ( ~ ( sK12_SY556 @ SV4 @ SY609 @ SY610 )
| ~ ( sK12_SY556 @ SV4 @ SY610 @ SY611 ) )
| ( sK12_SY556 @ SV4 @ SY609 @ SY611 ) )
| ~ ! [SY612: $i,SY613: $i] :
( ~ ( sK1_SY0 @ SY612 @ SY613 )
| ( sK12_SY556 @ SV4 @ SY612 @ SY613 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(126,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY617: $i,SY618: $i,SY619: $i] :
( ~ ~ ( ~ ( SV8 @ SY617 @ SY618 )
| ~ ( SV8 @ SY618 @ SY619 ) )
| ( SV8 @ SY617 @ SY619 ) )
| ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) ) )
= $false )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(127,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY622: $i,SY623: $i,SY624: $i] :
( ~ ~ ( ~ ( SV9 @ SY622 @ SY623 )
| ~ ( SV9 @ SY623 @ SY624 ) )
| ( SV9 @ SY622 @ SY624 ) )
| ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) ) )
= $false )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(128,plain,
! [SV14: $i,SV10: $i,SV6: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 ) ) )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(129,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV11: $i,SV7: $i] :
( ( ( sK1_SY0 @ SV7 @ SV11 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(130,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY633: $i,SY634: $i,SY635: $i] :
( ~ ~ ( ~ ( SV17 @ SY633 @ SY634 )
| ~ ( SV17 @ SY634 @ SY635 ) )
| ( SV17 @ SY633 @ SY635 ) )
| ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
| ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(131,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY638: $i,SY639: $i,SY640: $i] :
( ~ ~ ( ~ ( SV18 @ SY638 @ SY639 )
| ~ ( SV18 @ SY639 @ SY640 ) )
| ( SV18 @ SY638 @ SY640 ) )
| ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
| ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(132,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) ) )
= $false )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(133,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) ) )
= $false )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(134,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
| ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) ) )
= $false )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[120]) ).
thf(135,plain,
! [SV19: $i,SV4: $i] :
( ( ( ! [SY643: $i,SY644: $i] :
( ~ ~ ( ~ ( sK9_SY556 @ SV4 @ SV19 @ SY643 )
| ~ ( sK9_SY556 @ SV4 @ SY643 @ SY644 ) )
| ( sK9_SY556 @ SV4 @ SV19 @ SY644 ) ) )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(136,plain,
! [SV4: $i,SV20: $i] :
( ( ( ! [SY645: $i] :
( ~ ( sK1_SY0 @ SV20 @ SY645 )
| ( sK9_SY556 @ SV4 @ SV20 @ SY645 ) ) )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(137,plain,
! [SV21: $i,SV15: $i,SV12: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
| ~ ( sK6_SY550 @ SV4 @ SV15 @ SV21 ) )
| ( sK6_SY550 @ SV4 @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(138,plain,
! [SV4: $i,SV16: $i,SV13: $i] :
( ( ( ~ ( sK1_SY0 @ SV13 @ SV16 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(139,plain,
! [SV4: $i] :
( ( ( ~ ! [SY609: $i,SY610: $i,SY611: $i] :
( ~ ~ ( ~ ( sK12_SY556 @ SV4 @ SY609 @ SY610 )
| ~ ( sK12_SY556 @ SV4 @ SY610 @ SY611 ) )
| ( sK12_SY556 @ SV4 @ SY609 @ SY611 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(140,plain,
! [SV4: $i] :
( ( ( ~ ! [SY612: $i,SY613: $i] :
( ~ ( sK1_SY0 @ SY612 @ SY613 )
| ( sK12_SY556 @ SV4 @ SY612 @ SY613 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(141,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( ~ ! [SY617: $i,SY618: $i,SY619: $i] :
( ~ ~ ( ~ ( SV8 @ SY617 @ SY618 )
| ~ ( SV8 @ SY618 @ SY619 ) )
| ( SV8 @ SY617 @ SY619 ) )
| ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(142,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( ~ ! [SY622: $i,SY623: $i,SY624: $i] :
( ~ ~ ( ~ ( SV9 @ SY622 @ SY623 )
| ~ ( SV9 @ SY623 @ SY624 ) )
| ( SV9 @ SY622 @ SY624 ) )
| ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(143,plain,
! [SV14: $i,SV10: $i,SV6: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 ) ) )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(144,plain,
! [SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY633: $i,SY634: $i,SY635: $i] :
( ~ ~ ( ~ ( SV17 @ SY633 @ SY634 )
| ~ ( SV17 @ SY634 @ SY635 ) )
| ( SV17 @ SY633 @ SY635 ) )
| ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(146,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY638: $i,SY639: $i,SY640: $i] :
( ~ ~ ( ~ ( SV18 @ SY638 @ SY639 )
| ~ ( SV18 @ SY639 @ SY640 ) )
| ( SV18 @ SY638 @ SY640 ) )
| ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(147,plain,
! [SV5: $i > $i > $o] :
( ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(148,plain,
! [SV5: $i > $i > $o] :
( ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(149,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) ) )
= $false )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(150,plain,
! [SV5: $i > $i > $o] :
( ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(151,plain,
! [SV22: $i,SV19: $i,SV4: $i] :
( ( ( ! [SY646: $i] :
( ~ ~ ( ~ ( sK9_SY556 @ SV4 @ SV19 @ SV22 )
| ~ ( sK9_SY556 @ SV4 @ SV22 @ SY646 ) )
| ( sK9_SY556 @ SV4 @ SV19 @ SY646 ) ) )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(152,plain,
! [SV4: $i,SV23: $i,SV20: $i] :
( ( ( ~ ( sK1_SY0 @ SV20 @ SV23 )
| ( sK9_SY556 @ SV4 @ SV20 @ SV23 ) )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(153,plain,
! [SV21: $i,SV15: $i,SV12: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
| ~ ( sK6_SY550 @ SV4 @ SV15 @ SV21 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(154,plain,
! [SV4: $i,SV16: $i,SV13: $i] :
( ( ( sK1_SY0 @ SV13 @ SV16 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(155,plain,
! [SV4: $i] :
( ( ( ! [SY609: $i,SY610: $i,SY611: $i] :
( ~ ~ ( ~ ( sK12_SY556 @ SV4 @ SY609 @ SY610 )
| ~ ( sK12_SY556 @ SV4 @ SY610 @ SY611 ) )
| ( sK12_SY556 @ SV4 @ SY609 @ SY611 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(156,plain,
! [SV4: $i] :
( ( ( ! [SY612: $i,SY613: $i] :
( ~ ( sK1_SY0 @ SY612 @ SY613 )
| ( sK12_SY556 @ SV4 @ SY612 @ SY613 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(157,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( ~ ! [SY617: $i,SY618: $i,SY619: $i] :
( ~ ~ ( ~ ( SV8 @ SY617 @ SY618 )
| ~ ( SV8 @ SY618 @ SY619 ) )
| ( SV8 @ SY617 @ SY619 ) ) )
= $true )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(158,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( ~ ! [SY622: $i,SY623: $i,SY624: $i] :
( ~ ~ ( ~ ( SV9 @ SY622 @ SY623 )
| ~ ( SV9 @ SY623 @ SY624 ) )
| ( SV9 @ SY622 @ SY624 ) ) )
= $true )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(159,plain,
! [SV14: $i,SV10: $i,SV6: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
| ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 ) )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(160,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
| ! [SY647: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY647 @ SX5 @ SX6 )
| ~ ( SY647 @ SX6 @ SX7 ) )
| ( SY647 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY647 @ SX5 @ SX6 ) ) )
| ( SY647 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
| ! [SY653: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY653 @ SX5 @ SX6 )
| ~ ( SY653 @ SX6 @ SX7 ) )
| ( SY653 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY653 @ SX5 @ SX6 ) ) )
| ( SY653 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[144]) ).
thf(161,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY633: $i,SY634: $i,SY635: $i] :
( ~ ~ ( ~ ( SV17 @ SY633 @ SY634 )
| ~ ( SV17 @ SY634 @ SY635 ) )
| ( SV17 @ SY633 @ SY635 ) )
| ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) ) )
= $false )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(162,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY638: $i,SY639: $i,SY640: $i] :
( ~ ~ ( ~ ( SV18 @ SY638 @ SY639 )
| ~ ( SV18 @ SY639 @ SY640 ) )
| ( SV18 @ SY638 @ SY640 ) )
| ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) ) )
= $false )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(163,plain,
! [SV5: $i > $i > $o] :
( ( ( ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $false )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(164,plain,
! [SV5: $i > $i > $o] :
( ( ( ! [SY565: $i,SY566: $i] :
( ~ ( sK1_SY0 @ SY565 @ SY566 )
| ( SV5 @ SY565 @ SY566 ) ) )
= $false )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(165,plain,
! [SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(166,plain,
! [SV5: $i > $i > $o] :
( ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(167,plain,
! [SV24: $i,SV22: $i,SV19: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( sK9_SY556 @ SV4 @ SV19 @ SV22 )
| ~ ( sK9_SY556 @ SV4 @ SV22 @ SV24 ) )
| ( sK9_SY556 @ SV4 @ SV19 @ SV24 ) )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(168,plain,
! [SV4: $i,SV23: $i,SV20: $i] :
( ( ( ~ ( sK1_SY0 @ SV20 @ SV23 ) )
= $true )
| ( ( sK9_SY556 @ SV4 @ SV20 @ SV23 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(169,plain,
! [SV21: $i,SV15: $i,SV12: $i,SV4: $i] :
( ( ( ~ ( ~ ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
| ~ ( sK6_SY550 @ SV4 @ SV15 @ SV21 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(170,plain,
! [SV16: $i,SV13: $i,SV4: $i] :
( ( ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(171,plain,
! [SV25: $i,SV4: $i] :
( ( ( ! [SY659: $i,SY660: $i] :
( ~ ~ ( ~ ( sK12_SY556 @ SV4 @ SV25 @ SY659 )
| ~ ( sK12_SY556 @ SV4 @ SY659 @ SY660 ) )
| ( sK12_SY556 @ SV4 @ SV25 @ SY660 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(172,plain,
! [SV4: $i,SV26: $i] :
( ( ( ! [SY661: $i] :
( ~ ( sK1_SY0 @ SV26 @ SY661 )
| ( sK12_SY556 @ SV4 @ SV26 @ SY661 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(173,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( ! [SY617: $i,SY618: $i,SY619: $i] :
( ~ ~ ( ~ ( SV8 @ SY617 @ SY618 )
| ~ ( SV8 @ SY618 @ SY619 ) )
| ( SV8 @ SY617 @ SY619 ) ) )
= $false )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(174,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( ! [SY622: $i,SY623: $i,SY624: $i] :
( ~ ~ ( ~ ( SV9 @ SY622 @ SY623 )
| ~ ( SV9 @ SY623 @ SY624 ) )
| ( SV9 @ SY622 @ SY624 ) ) )
= $false )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(175,plain,
! [SV14: $i,SV10: $i,SV6: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 ) )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(176,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( ~ ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
| ! [SY647: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY647 @ SX5 @ SX6 )
| ~ ( SY647 @ SX6 @ SX7 ) )
| ( SY647 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY647 @ SX5 @ SX6 ) ) )
| ( SY647 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
| ! [SY653: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY653 @ SX5 @ SX6 )
| ~ ( SY653 @ SX6 @ SX7 ) )
| ( SY653 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY653 @ SX5 @ SX6 ) ) )
| ( SY653 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(177,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( ~ ! [SY633: $i,SY634: $i,SY635: $i] :
( ~ ~ ( ~ ( SV17 @ SY633 @ SY634 )
| ~ ( SV17 @ SY634 @ SY635 ) )
| ( SV17 @ SY633 @ SY635 ) )
| ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(178,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( ~ ! [SY638: $i,SY639: $i,SY640: $i] :
( ~ ~ ( ~ ( SV18 @ SY638 @ SY639 )
| ~ ( SV18 @ SY639 @ SY640 ) )
| ( SV18 @ SY638 @ SY640 ) )
| ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(179,plain,
! [SV5: $i > $i > $o] :
( ( ( ! [SY662: $i] :
( ~ ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ SY662 )
| ( SV5 @ ( sK16_SY565 @ SV5 ) @ SY662 ) ) )
= $false )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[163]) ).
thf(180,plain,
! [SV5: $i > $i > $o] :
( ( ( ! [SY663: $i] :
( ~ ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ SY663 )
| ( SV5 @ ( sK17_SY565 @ SV5 ) @ SY663 ) ) )
= $false )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[164]) ).
thf(181,plain,
! [SV5: $i > $i > $o] :
( ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(182,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY664: $i,SY665: $i,SY666: $i] :
( ~ ~ ( ~ ( SV27 @ SY664 @ SY665 )
| ~ ( SV27 @ SY665 @ SY666 ) )
| ( SV27 @ SY664 @ SY666 ) )
| ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
| ( SV27 @ sK2_SX0 @ sK3_SY480 ) )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(183,plain,
! [SV24: $i,SV22: $i,SV19: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( sK9_SY556 @ SV4 @ SV19 @ SV22 )
| ~ ( sK9_SY556 @ SV4 @ SV22 @ SV24 ) ) )
= $true )
| ( ( sK9_SY556 @ SV4 @ SV19 @ SV24 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(184,plain,
! [SV4: $i,SV23: $i,SV20: $i] :
( ( ( sK1_SY0 @ SV20 @ SV23 )
= $false )
| ( ( sK9_SY556 @ SV4 @ SV20 @ SV23 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(185,plain,
! [SV21: $i,SV15: $i,SV12: $i,SV4: $i] :
( ( ( ~ ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
| ~ ( sK6_SY550 @ SV4 @ SV15 @ SV21 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(186,plain,
! [SV16: $i,SV13: $i,SV4: $i] :
( ( ( sK3_SY480 = SV4 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(187,plain,
! [SV16: $i,SV13: $i,SV4: $i] :
( ( ( ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(188,plain,
! [SV28: $i,SV25: $i,SV4: $i] :
( ( ( ! [SY669: $i] :
( ~ ~ ( ~ ( sK12_SY556 @ SV4 @ SV25 @ SV28 )
| ~ ( sK12_SY556 @ SV4 @ SV28 @ SY669 ) )
| ( sK12_SY556 @ SV4 @ SV25 @ SY669 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(189,plain,
! [SV4: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( sK1_SY0 @ SV26 @ SV29 )
| ( sK12_SY556 @ SV4 @ SV26 @ SV29 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(190,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( ! [SY670: $i,SY671: $i] :
( ~ ~ ( ~ ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ SY670 )
| ~ ( SV8 @ SY670 @ SY671 ) )
| ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ SY671 ) ) )
= $false )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[173]) ).
thf(191,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( ! [SY672: $i,SY673: $i] :
( ~ ~ ( ~ ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ SY672 )
| ~ ( SV9 @ SY672 @ SY673 ) )
| ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ SY673 ) ) )
= $false )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[174]) ).
thf(192,plain,
! [SV14: $i,SV10: $i,SV6: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( ~ ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 ) )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(193,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
| ! [SY647: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY647 @ SX5 @ SX6 )
| ~ ( SY647 @ SX6 @ SX7 ) )
| ( SY647 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY647 @ SX5 @ SX6 ) ) )
| ( SY647 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
| ! [SY653: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY653 @ SX5 @ SX6 )
| ~ ( SY653 @ SX6 @ SX7 ) )
| ( SY653 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY653 @ SX5 @ SX6 ) ) )
| ( SY653 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(194,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( ~ ! [SY633: $i,SY634: $i,SY635: $i] :
( ~ ~ ( ~ ( SV17 @ SY633 @ SY634 )
| ~ ( SV17 @ SY634 @ SY635 ) )
| ( SV17 @ SY633 @ SY635 ) ) )
= $true )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(195,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( ~ ! [SY638: $i,SY639: $i,SY640: $i] :
( ~ ~ ( ~ ( SV18 @ SY638 @ SY639 )
| ~ ( SV18 @ SY639 @ SY640 ) )
| ( SV18 @ SY638 @ SY640 ) ) )
= $true )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(196,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
| ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) ) )
= $false )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[179]) ).
thf(197,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
| ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) ) )
= $false )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[180]) ).
thf(198,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY674: $i,SY675: $i,SY676: $i] :
( ~ ~ ( ~ ( SV30 @ SY674 @ SY675 )
| ~ ( SV30 @ SY675 @ SY676 ) )
| ( SV30 @ SY674 @ SY676 ) )
| ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
| ( SV30 @ sK2_SX0 @ sK3_SY480 ) )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(199,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY664: $i,SY665: $i,SY666: $i] :
( ~ ~ ( ~ ( SV27 @ SY664 @ SY665 )
| ~ ( SV27 @ SY665 @ SY666 ) )
| ( SV27 @ SY664 @ SY666 ) )
| ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(200,plain,
! [SV24: $i,SV22: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( ~ ( sK9_SY556 @ SV4 @ SV19 @ SV22 )
| ~ ( sK9_SY556 @ SV4 @ SV22 @ SV24 ) ) )
= $false )
| ( ( sK9_SY556 @ SV4 @ SV19 @ SV24 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(201,plain,
! [SV21: $i,SV15: $i,SV12: $i,SV4: $i] :
( ( ( ~ ( sK6_SY550 @ SV4 @ SV12 @ SV15 ) )
= $true )
| ( ( ~ ( sK6_SY550 @ SV4 @ SV15 @ SV21 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(202,plain,
! [SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ! [SY679: $i,SY680: $i,SY681: $i] :
( ~ ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY680 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY680 @ SY681 ) )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY681 ) )
| ~ ! [SY682: $i,SY683: $i] :
( ~ ( sK1_SY0 @ SY682 @ SY683 )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY682 @ SY683 ) ) )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ sK3_SY480 @ SV4 ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[187]) ).
thf(203,plain,
! [SV31: $i,SV28: $i,SV25: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( sK12_SY556 @ SV4 @ SV25 @ SV28 )
| ~ ( sK12_SY556 @ SV4 @ SV28 @ SV31 ) )
| ( sK12_SY556 @ SV4 @ SV25 @ SV31 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(204,plain,
! [SV4: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( sK1_SY0 @ SV26 @ SV29 ) )
= $true )
| ( ( sK12_SY556 @ SV4 @ SV26 @ SV29 )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(205,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( ! [SY684: $i] :
( ~ ~ ( ~ ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
| ~ ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ SY684 ) )
| ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ SY684 ) ) )
= $false )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[190]) ).
thf(206,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( ! [SY685: $i] :
( ~ ~ ( ~ ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
| ~ ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ SY685 ) )
| ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ SY685 ) ) )
= $false )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[191]) ).
thf(207,plain,
! [SV6: $i,SV14: $i,SV10: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(208,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
| ! [SY647: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY647 @ SX5 @ SX6 )
| ~ ( SY647 @ SX6 @ SX7 ) )
| ( SY647 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY647 @ SX5 @ SX6 ) ) )
| ( SY647 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(209,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
| ! [SY653: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY653 @ SX5 @ SX6 )
| ~ ( SY653 @ SX6 @ SX7 ) )
| ( SY653 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY653 @ SX5 @ SX6 ) ) )
| ( SY653 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(210,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( ! [SY633: $i,SY634: $i,SY635: $i] :
( ~ ~ ( ~ ( SV17 @ SY633 @ SY634 )
| ~ ( SV17 @ SY634 @ SY635 ) )
| ( SV17 @ SY633 @ SY635 ) ) )
= $false )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(211,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( ! [SY638: $i,SY639: $i,SY640: $i] :
( ~ ~ ( ~ ( SV18 @ SY638 @ SY639 )
| ~ ( SV18 @ SY639 @ SY640 ) )
| ( SV18 @ SY638 @ SY640 ) ) )
= $false )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(212,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) ) )
= $false )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(213,plain,
! [SV5: $i > $i > $o] :
( ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(214,plain,
! [SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) ) )
= $false )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(215,plain,
! [SV5: $i > $i > $o] :
( ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(216,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY674: $i,SY675: $i,SY676: $i] :
( ~ ~ ( ~ ( SV30 @ SY674 @ SY675 )
| ~ ( SV30 @ SY675 @ SY676 ) )
| ( SV30 @ SY674 @ SY676 ) )
| ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(217,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY664: $i,SY665: $i,SY666: $i] :
( ~ ~ ( ~ ( SV27 @ SY664 @ SY665 )
| ~ ( SV27 @ SY665 @ SY666 ) )
| ( SV27 @ SY664 @ SY666 ) )
| ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) ) )
= $false )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(218,plain,
! [SV24: $i,SV22: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( sK9_SY556 @ SV4 @ SV19 @ SV22 )
| ~ ( sK9_SY556 @ SV4 @ SV22 @ SV24 ) )
= $true )
| ( ( sK9_SY556 @ SV4 @ SV19 @ SV24 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(219,plain,
! [SV21: $i,SV15: $i,SV12: $i,SV4: $i] :
( ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( ~ ( sK6_SY550 @ SV4 @ SV15 @ SV21 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(220,plain,
! [SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ! [SY679: $i,SY680: $i,SY681: $i] :
( ~ ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY680 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY680 @ SY681 ) )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY681 ) )
| ~ ! [SY682: $i,SY683: $i] :
( ~ ( sK1_SY0 @ SY682 @ SY683 )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY682 @ SY683 ) ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(221,plain,
! [SV4: $i,SV13: $i,SV16: $i] :
( ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ sK3_SY480 @ SV4 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(222,plain,
! [SV31: $i,SV28: $i,SV25: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( sK12_SY556 @ SV4 @ SV25 @ SV28 )
| ~ ( sK12_SY556 @ SV4 @ SV28 @ SV31 ) ) )
= $true )
| ( ( sK12_SY556 @ SV4 @ SV25 @ SV31 )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(223,plain,
! [SV4: $i,SV29: $i,SV26: $i] :
( ( ( sK1_SY0 @ SV26 @ SV29 )
= $false )
| ( ( sK12_SY556 @ SV4 @ SV26 @ SV29 )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(224,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
| ~ ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) ) )
| ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[205]) ).
thf(225,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
| ~ ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) ) )
| ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) ) )
= $false )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[206]) ).
thf(226,plain,
! [SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV3: $i] :
( ( ( ! [SY512: $i] :
~ ~ ( ~ ( ( SV3 = SY512 )
| ! [SY513: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY513 @ SX5 @ SX6 )
| ~ ( SY513 @ SX6 @ SX7 ) )
| ( SY513 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY513 @ SX5 @ SX6 ) ) )
| ( SY513 @ SV3 @ SY512 ) ) )
| ~ ( ( SV2 = SY512 )
| ! [SY474: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY474 @ SX5 @ SX6 )
| ~ ( SY474 @ SX6 @ SX7 ) )
| ( SY474 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY474 @ SX5 @ SX6 ) ) )
| ( SY474 @ SV2 @ SY512 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(227,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
| ! [SY647: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY647 @ SX5 @ SX6 )
| ~ ( SY647 @ SX6 @ SX7 ) )
| ( SY647 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY647 @ SX5 @ SX6 ) ) )
| ( SY647 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(228,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
| ! [SY653: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY653 @ SX5 @ SX6 )
| ~ ( SY653 @ SX6 @ SX7 ) )
| ( SY653 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY653 @ SX5 @ SX6 ) ) )
| ( SY653 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(229,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( ! [SY686: $i,SY687: $i] :
( ~ ~ ( ~ ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ SY686 )
| ~ ( SV17 @ SY686 @ SY687 ) )
| ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ SY687 ) ) )
= $false )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(230,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( ! [SY688: $i,SY689: $i] :
( ~ ~ ( ~ ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ SY688 )
| ~ ( SV18 @ SY688 @ SY689 ) )
| ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ SY689 ) ) )
= $false )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[211]) ).
thf(231,plain,
! [SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(232,plain,
! [SV5: $i > $i > $o] :
( ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(233,plain,
! [SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( ( sK2_SX0 = sK3_SY480 )
| ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(234,plain,
! [SV5: $i > $i > $o] :
( ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(235,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY674: $i,SY675: $i,SY676: $i] :
( ~ ~ ( ~ ( SV30 @ SY674 @ SY675 )
| ~ ( SV30 @ SY675 @ SY676 ) )
| ( SV30 @ SY674 @ SY676 ) )
| ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) ) )
= $false )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(236,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ! [SY664: $i,SY665: $i,SY666: $i] :
( ~ ~ ( ~ ( SV27 @ SY664 @ SY665 )
| ~ ( SV27 @ SY665 @ SY666 ) )
| ( SV27 @ SY664 @ SY666 ) )
| ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(237,plain,
! [SV24: $i,SV22: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( sK9_SY556 @ SV4 @ SV19 @ SV22 ) )
= $true )
| ( ( ~ ( sK9_SY556 @ SV4 @ SV22 @ SV24 ) )
= $true )
| ( ( sK9_SY556 @ SV4 @ SV19 @ SV24 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(238,plain,
! [SV12: $i,SV21: $i,SV15: $i,SV4: $i] :
( ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( ~ ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(239,plain,
! [SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ( ~ ! [SY679: $i,SY680: $i,SY681: $i] :
( ~ ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY680 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY680 @ SY681 ) )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY681 ) )
| ~ ! [SY682: $i,SY683: $i] :
( ~ ( sK1_SY0 @ SY682 @ SY683 )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY682 @ SY683 ) ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(240,plain,
! [SV31: $i,SV28: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( ~ ( sK12_SY556 @ SV4 @ SV25 @ SV28 )
| ~ ( sK12_SY556 @ SV4 @ SV28 @ SV31 ) ) )
= $false )
| ( ( sK12_SY556 @ SV4 @ SV25 @ SV31 )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(241,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
| ~ ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(242,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $false )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(243,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
| ~ ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) ) ) )
= $false )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(244,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $false )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(245,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
| ! [SY690: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY690 @ SX5 @ SX6 )
| ~ ( SY690 @ SX6 @ SX7 ) )
| ( SY690 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY690 @ SX5 @ SX6 ) ) )
| ( SY690 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
| ! [SY696: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY696 @ SX5 @ SX6 )
| ~ ( SY696 @ SX6 @ SX7 ) )
| ( SY696 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY696 @ SX5 @ SX6 ) ) )
| ( SY696 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[226]) ).
thf(246,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY647: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY647 @ SX5 @ SX6 )
| ~ ( SY647 @ SX6 @ SX7 ) )
| ( SY647 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY647 @ SX5 @ SX6 ) ) )
| ( SY647 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(247,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY653: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY653 @ SX5 @ SX6 )
| ~ ( SY653 @ SX6 @ SX7 ) )
| ( SY653 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY653 @ SX5 @ SX6 ) ) )
| ( SY653 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(248,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( ! [SY702: $i] :
( ~ ~ ( ~ ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
| ~ ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ SY702 ) )
| ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ SY702 ) ) )
= $false )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[229]) ).
thf(249,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( ! [SY703: $i] :
( ~ ~ ( ~ ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
| ~ ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ SY703 ) )
| ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ SY703 ) ) )
= $false )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[230]) ).
thf(250,plain,
! [SV5: $i > $i > $o] :
( ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(251,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY704: $i,SY705: $i,SY706: $i] :
( ~ ~ ( ~ ( SV32 @ SY704 @ SY705 )
| ~ ( SV32 @ SY705 @ SY706 ) )
| ( SV32 @ SY704 @ SY706 ) )
| ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
| ( SV32 @ sK2_SX0 @ sK3_SY480 ) )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(252,plain,
! [SV5: $i > $i > $o] :
( ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( ! [SY531: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY531 @ SX3 @ SX4 )
| ~ ( SY531 @ SX4 @ SX5 ) )
| ( SY531 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY531 @ SX3 @ SX4 ) ) )
| ( SY531 @ sK2_SX0 @ sK3_SY480 ) ) )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(253,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY709: $i,SY710: $i,SY711: $i] :
( ~ ~ ( ~ ( SV33 @ SY709 @ SY710 )
| ~ ( SV33 @ SY710 @ SY711 ) )
| ( SV33 @ SY709 @ SY711 ) )
| ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
| ( SV33 @ sK2_SX0 @ sK3_SY480 ) )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(254,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ! [SY674: $i,SY675: $i,SY676: $i] :
( ~ ~ ( ~ ( SV30 @ SY674 @ SY675 )
| ~ ( SV30 @ SY675 @ SY676 ) )
| ( SV30 @ SY674 @ SY676 ) )
| ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(255,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ! [SY664: $i,SY665: $i,SY666: $i] :
( ~ ~ ( ~ ( SV27 @ SY664 @ SY665 )
| ~ ( SV27 @ SY665 @ SY666 ) )
| ( SV27 @ SY664 @ SY666 ) ) )
= $true )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(256,plain,
! [SV24: $i,SV22: $i,SV19: $i,SV4: $i] :
( ( ( sK9_SY556 @ SV4 @ SV19 @ SV22 )
= $false )
| ( ( ~ ( sK9_SY556 @ SV4 @ SV22 @ SV24 ) )
= $true )
| ( ( sK9_SY556 @ SV4 @ SV19 @ SV24 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(257,plain,
! [SV15: $i,SV21: $i,SV12: $i,SV4: $i] :
( ( ( ( sK3_SY480 = SV4 )
| ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(258,plain,
! [SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ! [SY679: $i,SY680: $i,SY681: $i] :
( ~ ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY680 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY680 @ SY681 ) )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY681 ) )
| ~ ! [SY682: $i,SY683: $i] :
( ~ ( sK1_SY0 @ SY682 @ SY683 )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY682 @ SY683 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(259,plain,
! [SV31: $i,SV28: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( sK12_SY556 @ SV4 @ SV25 @ SV28 )
| ~ ( sK12_SY556 @ SV4 @ SV28 @ SV31 ) )
= $true )
| ( ( sK12_SY556 @ SV4 @ SV25 @ SV31 )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(260,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
| ~ ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) ) ) )
= $true )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(261,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $false )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $false )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(262,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( ~ ( ~ ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
| ~ ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) ) ) )
= $true )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(263,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $false )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $false )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(264,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( ~ ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
| ! [SY690: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY690 @ SX5 @ SX6 )
| ~ ( SY690 @ SX6 @ SX7 ) )
| ( SY690 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY690 @ SX5 @ SX6 ) ) )
| ( SY690 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
| ! [SY696: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY696 @ SX5 @ SX6 )
| ~ ( SY696 @ SX6 @ SX7 ) )
| ( SY696 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY696 @ SX5 @ SX6 ) ) )
| ( SY696 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(265,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY714: $i,SY715: $i,SY716: $i] :
( ~ ~ ( ~ ( SV34 @ SY714 @ SY715 )
| ~ ( SV34 @ SY715 @ SY716 ) )
| ( SV34 @ SY714 @ SY716 ) )
| ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
| ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(266,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY719: $i,SY720: $i,SY721: $i] :
( ~ ~ ( ~ ( SV35 @ SY719 @ SY720 )
| ~ ( SV35 @ SY720 @ SY721 ) )
| ( SV35 @ SY719 @ SY721 ) )
| ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
| ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(267,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
| ~ ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) ) )
| ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[248]) ).
thf(268,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
| ~ ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) ) )
| ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) ) )
= $false )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[249]) ).
thf(269,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY724: $i,SY725: $i,SY726: $i] :
( ~ ~ ( ~ ( SV36 @ SY724 @ SY725 )
| ~ ( SV36 @ SY725 @ SY726 ) )
| ( SV36 @ SY724 @ SY726 ) )
| ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
| ( SV36 @ sK2_SX0 @ sK3_SY480 ) )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(270,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY704: $i,SY705: $i,SY706: $i] :
( ~ ~ ( ~ ( SV32 @ SY704 @ SY705 )
| ~ ( SV32 @ SY705 @ SY706 ) )
| ( SV32 @ SY704 @ SY706 ) )
| ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(271,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY729: $i,SY730: $i,SY731: $i] :
( ~ ~ ( ~ ( SV37 @ SY729 @ SY730 )
| ~ ( SV37 @ SY730 @ SY731 ) )
| ( SV37 @ SY729 @ SY731 ) )
| ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
| ( SV37 @ sK2_SX0 @ sK3_SY480 ) )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(272,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY709: $i,SY710: $i,SY711: $i] :
( ~ ~ ( ~ ( SV33 @ SY709 @ SY710 )
| ~ ( SV33 @ SY710 @ SY711 ) )
| ( SV33 @ SY709 @ SY711 ) )
| ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(273,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ! [SY674: $i,SY675: $i,SY676: $i] :
( ~ ~ ( ~ ( SV30 @ SY674 @ SY675 )
| ~ ( SV30 @ SY675 @ SY676 ) )
| ( SV30 @ SY674 @ SY676 ) ) )
= $true )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(274,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ! [SY664: $i,SY665: $i,SY666: $i] :
( ~ ~ ( ~ ( SV27 @ SY664 @ SY665 )
| ~ ( SV27 @ SY665 @ SY666 ) )
| ( SV27 @ SY664 @ SY666 ) ) )
= $false )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(275,plain,
! [SV19: $i,SV24: $i,SV22: $i,SV4: $i] :
( ( ( sK9_SY556 @ SV4 @ SV22 @ SV24 )
= $false )
| ( ( sK9_SY556 @ SV4 @ SV19 @ SV22 )
= $false )
| ( ( sK9_SY556 @ SV4 @ SV19 @ SV24 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(276,plain,
! [SV15: $i,SV21: $i,SV12: $i,SV4: $i] :
( ( ( sK3_SY480 = SV4 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(277,plain,
! [SV15: $i,SV21: $i,SV12: $i,SV4: $i] :
( ( ( ! [SY556: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY556 @ SX4 @ SX5 )
| ~ ( SY556 @ SX5 @ SX6 ) )
| ( SY556 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY556 @ SX4 @ SX5 ) ) )
| ( SY556 @ sK3_SY480 @ SV4 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(278,plain,
! [SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ! [SY679: $i,SY680: $i,SY681: $i] :
( ~ ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY680 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY680 @ SY681 ) )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY681 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(279,plain,
! [SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ! [SY682: $i,SY683: $i] :
( ~ ( sK1_SY0 @ SY682 @ SY683 )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY682 @ SY683 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(280,plain,
! [SV31: $i,SV28: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( sK12_SY556 @ SV4 @ SV25 @ SV28 ) )
= $true )
| ( ( ~ ( sK12_SY556 @ SV4 @ SV28 @ SV31 ) )
= $true )
| ( ( sK12_SY556 @ SV4 @ SV25 @ SV31 )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(281,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
| ~ ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(282,plain,
! [SV8: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ! [SY734: $i] :
( ~ ( sK1_SY0 @ ( sK34_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ SY734 )
| ( SV8 @ ( sK34_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ SY734 ) ) )
= $false )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $false )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[261]) ).
thf(283,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( ~ ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
| ~ ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) ) )
= $false )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(284,plain,
! [SV9: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ! [SY735: $i] :
( ~ ( sK1_SY0 @ ( sK35_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ SY735 )
| ( SV9 @ ( sK35_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ SY735 ) ) )
= $false )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $false )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[263]) ).
thf(285,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
| ! [SY690: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY690 @ SX5 @ SX6 )
| ~ ( SY690 @ SX6 @ SX7 ) )
| ( SY690 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY690 @ SX5 @ SX6 ) ) )
| ( SY690 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) )
| ~ ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
| ! [SY696: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY696 @ SX5 @ SX6 )
| ~ ( SY696 @ SX6 @ SX7 ) )
| ( SY696 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY696 @ SX5 @ SX6 ) ) )
| ( SY696 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(286,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY714: $i,SY715: $i,SY716: $i] :
( ~ ~ ( ~ ( SV34 @ SY714 @ SY715 )
| ~ ( SV34 @ SY715 @ SY716 ) )
| ( SV34 @ SY714 @ SY716 ) )
| ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(287,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY719: $i,SY720: $i,SY721: $i] :
( ~ ~ ( ~ ( SV35 @ SY719 @ SY720 )
| ~ ( SV35 @ SY720 @ SY721 ) )
| ( SV35 @ SY719 @ SY721 ) )
| ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(288,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
| ~ ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) ) ) )
= $false )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(289,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $false )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(290,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
| ~ ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) ) ) )
= $false )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(291,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $false )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(292,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY724: $i,SY725: $i,SY726: $i] :
( ~ ~ ( ~ ( SV36 @ SY724 @ SY725 )
| ~ ( SV36 @ SY725 @ SY726 ) )
| ( SV36 @ SY724 @ SY726 ) )
| ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(293,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY704: $i,SY705: $i,SY706: $i] :
( ~ ~ ( ~ ( SV32 @ SY704 @ SY705 )
| ~ ( SV32 @ SY705 @ SY706 ) )
| ( SV32 @ SY704 @ SY706 ) )
| ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) ) )
= $false )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(294,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY729: $i,SY730: $i,SY731: $i] :
( ~ ~ ( ~ ( SV37 @ SY729 @ SY730 )
| ~ ( SV37 @ SY730 @ SY731 ) )
| ( SV37 @ SY729 @ SY731 ) )
| ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(295,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY709: $i,SY710: $i,SY711: $i] :
( ~ ~ ( ~ ( SV33 @ SY709 @ SY710 )
| ~ ( SV33 @ SY710 @ SY711 ) )
| ( SV33 @ SY709 @ SY711 ) )
| ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) ) )
= $false )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(296,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ! [SY674: $i,SY675: $i,SY676: $i] :
( ~ ~ ( ~ ( SV30 @ SY674 @ SY675 )
| ~ ( SV30 @ SY675 @ SY676 ) )
| ( SV30 @ SY674 @ SY676 ) ) )
= $false )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(297,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ! [SY736: $i,SY737: $i] :
( ~ ~ ( ~ ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ SY736 )
| ~ ( SV27 @ SY736 @ SY737 ) )
| ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ SY737 ) ) )
= $false )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[274]) ).
thf(298,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ! [SY738: $i,SY739: $i,SY740: $i] :
( ~ ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY739 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY739 @ SY740 ) )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY740 ) )
| ~ ! [SY741: $i,SY742: $i] :
( ~ ( sK1_SY0 @ SY741 @ SY742 )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY741 @ SY742 ) ) )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ sK3_SY480 @ SV4 ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[277]) ).
thf(299,plain,
! [SV4: $i,SV13: $i,SV16: $i] :
( ( ( ! [SY679: $i,SY680: $i,SY681: $i] :
( ~ ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY680 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY680 @ SY681 ) )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY679 @ SY681 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(300,plain,
! [SV4: $i,SV13: $i,SV16: $i] :
( ( ( ! [SY682: $i,SY683: $i] :
( ~ ( sK1_SY0 @ SY682 @ SY683 )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY682 @ SY683 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(301,plain,
! [SV31: $i,SV28: $i,SV25: $i,SV4: $i] :
( ( ( sK12_SY556 @ SV4 @ SV25 @ SV28 )
= $false )
| ( ( ~ ( sK12_SY556 @ SV4 @ SV28 @ SV31 ) )
= $true )
| ( ( sK12_SY556 @ SV4 @ SV25 @ SV31 )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(302,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(303,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(304,plain,
! [SV8: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK34_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK38_SY734 @ SV8 @ SV2 @ SV1 @ SV3 ) )
| ( SV8 @ ( sK34_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK38_SY734 @ SV8 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $false )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[282]) ).
thf(305,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( ~ ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) ) )
= $false )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(306,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( ~ ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) ) )
= $false )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(307,plain,
! [SV9: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK35_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK39_SY735 @ SV9 @ SV3 @ SV1 @ SV2 ) )
| ( SV9 @ ( sK35_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK39_SY735 @ SV9 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $false )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[284]) ).
thf(308,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
| ! [SY690: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY690 @ SX5 @ SX6 )
| ~ ( SY690 @ SX6 @ SX7 ) )
| ( SY690 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY690 @ SX5 @ SX6 ) ) )
| ( SY690 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(309,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
| ! [SY696: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY696 @ SX5 @ SX6 )
| ~ ( SY696 @ SX6 @ SX7 ) )
| ( SY696 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY696 @ SX5 @ SX6 ) ) )
| ( SY696 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(310,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY714: $i,SY715: $i,SY716: $i] :
( ~ ~ ( ~ ( SV34 @ SY714 @ SY715 )
| ~ ( SV34 @ SY715 @ SY716 ) )
| ( SV34 @ SY714 @ SY716 ) )
| ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) ) )
= $false )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(311,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY719: $i,SY720: $i,SY721: $i] :
( ~ ~ ( ~ ( SV35 @ SY719 @ SY720 )
| ~ ( SV35 @ SY720 @ SY721 ) )
| ( SV35 @ SY719 @ SY721 ) )
| ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) ) )
= $false )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(312,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( ~ ( ~ ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
| ~ ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) ) ) )
= $true )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(313,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $false )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $false )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(314,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( ~ ( ~ ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
| ~ ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) ) ) )
= $true )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(315,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $false )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $false )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(316,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY724: $i,SY725: $i,SY726: $i] :
( ~ ~ ( ~ ( SV36 @ SY724 @ SY725 )
| ~ ( SV36 @ SY725 @ SY726 ) )
| ( SV36 @ SY724 @ SY726 ) )
| ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) ) )
= $false )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(317,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ! [SY704: $i,SY705: $i,SY706: $i] :
( ~ ~ ( ~ ( SV32 @ SY704 @ SY705 )
| ~ ( SV32 @ SY705 @ SY706 ) )
| ( SV32 @ SY704 @ SY706 ) )
| ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(318,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY729: $i,SY730: $i,SY731: $i] :
( ~ ~ ( ~ ( SV37 @ SY729 @ SY730 )
| ~ ( SV37 @ SY730 @ SY731 ) )
| ( SV37 @ SY729 @ SY731 ) )
| ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) ) )
= $false )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(319,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ! [SY709: $i,SY710: $i,SY711: $i] :
( ~ ~ ( ~ ( SV33 @ SY709 @ SY710 )
| ~ ( SV33 @ SY710 @ SY711 ) )
| ( SV33 @ SY709 @ SY711 ) )
| ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(320,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ! [SY743: $i,SY744: $i] :
( ~ ~ ( ~ ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ SY743 )
| ~ ( SV30 @ SY743 @ SY744 ) )
| ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ SY744 ) ) )
= $false )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[296]) ).
thf(321,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ! [SY745: $i] :
( ~ ~ ( ~ ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
| ~ ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ SY745 ) )
| ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ SY745 ) ) )
= $false )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[297]) ).
thf(322,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ! [SY738: $i,SY739: $i,SY740: $i] :
( ~ ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY739 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY739 @ SY740 ) )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY740 ) )
| ~ ! [SY741: $i,SY742: $i] :
( ~ ( sK1_SY0 @ SY741 @ SY742 )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY741 @ SY742 ) ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(323,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ sK3_SY480 @ SV4 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(324,plain,
! [SV38: $i,SV4: $i,SV13: $i,SV16: $i] :
( ( ( ! [SY746: $i,SY747: $i] :
( ~ ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SY746 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SY746 @ SY747 ) )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SY747 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(325,plain,
! [SV4: $i,SV13: $i,SV16: $i,SV39: $i] :
( ( ( ! [SY748: $i] :
( ~ ( sK1_SY0 @ SV39 @ SY748 )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV39 @ SY748 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(326,plain,
! [SV25: $i,SV31: $i,SV28: $i,SV4: $i] :
( ( ( sK12_SY556 @ SV4 @ SV28 @ SV31 )
= $false )
| ( ( sK12_SY556 @ SV4 @ SV25 @ SV28 )
= $false )
| ( ( sK12_SY556 @ SV4 @ SV25 @ SV31 )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(327,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(328,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(329,plain,
! [SV8: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK34_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK38_SY734 @ SV8 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $false )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(330,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK34_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK38_SY734 @ SV8 @ SV2 @ SV1 @ SV3 ) )
= $false )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $false )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(331,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(332,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( ~ ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(333,plain,
! [SV9: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK35_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK39_SY735 @ SV9 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $false )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(334,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( SV9 @ ( sK35_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK39_SY735 @ SV9 @ SV3 @ SV1 @ SV2 ) )
= $false )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $false )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(335,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
| ! [SY690: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY690 @ SX5 @ SX6 )
| ~ ( SY690 @ SX6 @ SX7 ) )
| ( SY690 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY690 @ SX5 @ SX6 ) ) )
| ( SY690 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(336,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
| ! [SY696: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY696 @ SX5 @ SX6 )
| ~ ( SY696 @ SX6 @ SX7 ) )
| ( SY696 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY696 @ SX5 @ SX6 ) ) )
| ( SY696 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(337,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( ~ ! [SY714: $i,SY715: $i,SY716: $i] :
( ~ ~ ( ~ ( SV34 @ SY714 @ SY715 )
| ~ ( SV34 @ SY715 @ SY716 ) )
| ( SV34 @ SY714 @ SY716 ) )
| ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(338,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( ~ ! [SY719: $i,SY720: $i,SY721: $i] :
( ~ ~ ( ~ ( SV35 @ SY719 @ SY720 )
| ~ ( SV35 @ SY720 @ SY721 ) )
| ( SV35 @ SY719 @ SY721 ) )
| ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(339,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
| ~ ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(340,plain,
! [SV17: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ! [SY749: $i] :
( ~ ( sK1_SY0 @ ( sK42_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ SY749 )
| ( SV17 @ ( sK42_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ SY749 ) ) )
= $false )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $false )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[313]) ).
thf(341,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
| ~ ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) ) )
= $false )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(342,plain,
! [SV18: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ! [SY750: $i] :
( ~ ( sK1_SY0 @ ( sK43_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ SY750 )
| ( SV18 @ ( sK43_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ SY750 ) ) )
= $false )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $false )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[315]) ).
thf(343,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ! [SY724: $i,SY725: $i,SY726: $i] :
( ~ ~ ( ~ ( SV36 @ SY724 @ SY725 )
| ~ ( SV36 @ SY725 @ SY726 ) )
| ( SV36 @ SY724 @ SY726 ) )
| ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(344,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ! [SY704: $i,SY705: $i,SY706: $i] :
( ~ ~ ( ~ ( SV32 @ SY704 @ SY705 )
| ~ ( SV32 @ SY705 @ SY706 ) )
| ( SV32 @ SY704 @ SY706 ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(345,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ! [SY729: $i,SY730: $i,SY731: $i] :
( ~ ~ ( ~ ( SV37 @ SY729 @ SY730 )
| ~ ( SV37 @ SY730 @ SY731 ) )
| ( SV37 @ SY729 @ SY731 ) )
| ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(346,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ! [SY709: $i,SY710: $i,SY711: $i] :
( ~ ~ ( ~ ( SV33 @ SY709 @ SY710 )
| ~ ( SV33 @ SY710 @ SY711 ) )
| ( SV33 @ SY709 @ SY711 ) ) )
= $true )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(347,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ! [SY751: $i] :
( ~ ~ ( ~ ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
| ~ ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ SY751 ) )
| ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ SY751 ) ) )
= $false )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[320]) ).
thf(348,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
| ~ ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) ) )
| ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) ) )
= $false )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[321]) ).
thf(349,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ( ~ ! [SY738: $i,SY739: $i,SY740: $i] :
( ~ ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY739 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY739 @ SY740 ) )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY740 ) )
| ~ ! [SY741: $i,SY742: $i] :
( ~ ( sK1_SY0 @ SY741 @ SY742 )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY741 @ SY742 ) ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(350,plain,
! [SV40: $i,SV38: $i,SV4: $i,SV13: $i,SV16: $i] :
( ( ( ! [SY752: $i] :
( ~ ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV40 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV40 @ SY752 ) )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SY752 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(351,plain,
! [SV4: $i,SV13: $i,SV16: $i,SV41: $i,SV39: $i] :
( ( ( ~ ( sK1_SY0 @ SV39 @ SV41 )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV39 @ SV41 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(352,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $false )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(353,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( ! [SY620: $i,SY621: $i] :
( ~ ( sK1_SY0 @ SY620 @ SY621 )
| ( SV8 @ SY620 @ SY621 ) ) )
= $false )
| ( ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(354,plain,
! [SV8: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK34_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK38_SY734 @ SV8 @ SV2 @ SV1 @ SV3 ) )
= $true )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $false )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(355,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $false )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(356,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( ! [SY625: $i,SY626: $i] :
( ~ ( sK1_SY0 @ SY625 @ SY626 )
| ( SV9 @ SY625 @ SY626 ) ) )
= $false )
| ( ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(357,plain,
! [SV9: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK35_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK39_SY735 @ SV9 @ SV3 @ SV1 @ SV2 ) )
= $true )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $false )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(358,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY690: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY690 @ SX5 @ SX6 )
| ~ ( SY690 @ SX6 @ SX7 ) )
| ( SY690 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY690 @ SX5 @ SX6 ) ) )
| ( SY690 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(359,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY696: $i > $i > $o] :
( ~ ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( SY696 @ SX5 @ SX6 )
| ~ ( SY696 @ SX6 @ SX7 ) )
| ( SY696 @ SX5 @ SX7 ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( sK1_SY0 @ SX5 @ SX6 )
| ( SY696 @ SX5 @ SX6 ) ) )
| ( SY696 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(360,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( ~ ! [SY714: $i,SY715: $i,SY716: $i] :
( ~ ~ ( ~ ( SV34 @ SY714 @ SY715 )
| ~ ( SV34 @ SY715 @ SY716 ) )
| ( SV34 @ SY714 @ SY716 ) ) )
= $true )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(361,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( ~ ! [SY719: $i,SY720: $i,SY721: $i] :
( ~ ~ ( ~ ( SV35 @ SY719 @ SY720 )
| ~ ( SV35 @ SY720 @ SY721 ) )
| ( SV35 @ SY719 @ SY721 ) ) )
= $true )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(362,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(363,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(364,plain,
! [SV17: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK42_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK46_SY749 @ SV17 @ SV2 @ SV1 @ SV3 ) )
| ( SV17 @ ( sK42_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK46_SY749 @ SV17 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $false )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[340]) ).
thf(365,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) ) )
= $false )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(366,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) ) )
= $false )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(367,plain,
! [SV18: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK43_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK47_SY750 @ SV18 @ SV3 @ SV1 @ SV2 ) )
| ( SV18 @ ( sK43_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK47_SY750 @ SV18 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $false )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[342]) ).
thf(368,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ! [SY724: $i,SY725: $i,SY726: $i] :
( ~ ~ ( ~ ( SV36 @ SY724 @ SY725 )
| ~ ( SV36 @ SY725 @ SY726 ) )
| ( SV36 @ SY724 @ SY726 ) ) )
= $true )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(369,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ! [SY704: $i,SY705: $i,SY706: $i] :
( ~ ~ ( ~ ( SV32 @ SY704 @ SY705 )
| ~ ( SV32 @ SY705 @ SY706 ) )
| ( SV32 @ SY704 @ SY706 ) ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(370,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ! [SY729: $i,SY730: $i,SY731: $i] :
( ~ ~ ( ~ ( SV37 @ SY729 @ SY730 )
| ~ ( SV37 @ SY730 @ SY731 ) )
| ( SV37 @ SY729 @ SY731 ) ) )
= $true )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(371,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ! [SY709: $i,SY710: $i,SY711: $i] :
( ~ ~ ( ~ ( SV33 @ SY709 @ SY710 )
| ~ ( SV33 @ SY710 @ SY711 ) )
| ( SV33 @ SY709 @ SY711 ) ) )
= $false )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(372,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
| ~ ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) ) )
| ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) ) )
= $false )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[347]) ).
thf(373,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
| ~ ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) ) ) )
= $false )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(374,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $false )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(375,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ! [SY738: $i,SY739: $i,SY740: $i] :
( ~ ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY739 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY739 @ SY740 ) )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY740 ) )
| ~ ! [SY741: $i,SY742: $i] :
( ~ ( sK1_SY0 @ SY741 @ SY742 )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY741 @ SY742 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(376,plain,
! [SV42: $i,SV40: $i,SV38: $i,SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV40 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV40 @ SV42 ) )
| ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV42 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(377,plain,
! [SV4: $i,SV13: $i,SV16: $i,SV41: $i,SV39: $i] :
( ( ( ~ ( sK1_SY0 @ SV39 @ SV41 ) )
= $true )
| ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV39 @ SV41 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(378,plain,
! [SV8: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ! [SY753: $i] :
( ~ ( sK1_SY0 @ ( sK49_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ SY753 )
| ( SV8 @ ( sK49_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ SY753 ) ) )
= $false )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[352]) ).
thf(379,plain,
! [SV8: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ! [SY754: $i] :
( ~ ( sK1_SY0 @ ( sK50_SY620 @ SV2 @ SV1 @ SV3 @ SV8 ) @ SY754 )
| ( SV8 @ ( sK50_SY620 @ SV2 @ SV1 @ SV3 @ SV8 ) @ SY754 ) ) )
= $false )
| ( ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[353]) ).
thf(380,plain,
! [SV9: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ! [SY755: $i] :
( ~ ( sK1_SY0 @ ( sK51_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ SY755 )
| ( SV9 @ ( sK51_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ SY755 ) ) )
= $false )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[355]) ).
thf(381,plain,
! [SV9: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ! [SY756: $i] :
( ~ ( sK1_SY0 @ ( sK52_SY625 @ SV3 @ SV1 @ SV2 @ SV9 ) @ SY756 )
| ( SV9 @ ( sK52_SY625 @ SV3 @ SV1 @ SV2 @ SV9 ) @ SY756 ) ) )
= $false )
| ( ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[356]) ).
thf(382,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY757: $i,SY758: $i,SY759: $i] :
( ~ ~ ( ~ ( SV43 @ SY757 @ SY758 )
| ~ ( SV43 @ SY758 @ SY759 ) )
| ( SV43 @ SY757 @ SY759 ) )
| ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
| ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(383,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY762: $i,SY763: $i,SY764: $i] :
( ~ ~ ( ~ ( SV44 @ SY762 @ SY763 )
| ~ ( SV44 @ SY763 @ SY764 ) )
| ( SV44 @ SY762 @ SY764 ) )
| ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
| ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(384,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( ! [SY714: $i,SY715: $i,SY716: $i] :
( ~ ~ ( ~ ( SV34 @ SY714 @ SY715 )
| ~ ( SV34 @ SY715 @ SY716 ) )
| ( SV34 @ SY714 @ SY716 ) ) )
= $false )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(385,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( ! [SY719: $i,SY720: $i,SY721: $i] :
( ~ ~ ( ~ ( SV35 @ SY719 @ SY720 )
| ~ ( SV35 @ SY720 @ SY721 ) )
| ( SV35 @ SY719 @ SY721 ) ) )
= $false )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(386,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(387,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( ~ ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(388,plain,
! [SV17: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK42_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK46_SY749 @ SV17 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $false )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(389,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK42_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK46_SY749 @ SV17 @ SV2 @ SV1 @ SV3 ) )
= $false )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $false )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(390,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(391,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( ~ ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(392,plain,
! [SV18: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK43_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK47_SY750 @ SV18 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $false )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(393,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK43_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK47_SY750 @ SV18 @ SV3 @ SV1 @ SV2 ) )
= $false )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $false )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(394,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ! [SY724: $i,SY725: $i,SY726: $i] :
( ~ ~ ( ~ ( SV36 @ SY724 @ SY725 )
| ~ ( SV36 @ SY725 @ SY726 ) )
| ( SV36 @ SY724 @ SY726 ) ) )
= $false )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(395,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ! [SY767: $i,SY768: $i] :
( ~ ~ ( ~ ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ SY767 )
| ~ ( SV32 @ SY767 @ SY768 ) )
| ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ SY768 ) ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[369]) ).
thf(396,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ! [SY729: $i,SY730: $i,SY731: $i] :
( ~ ~ ( ~ ( SV37 @ SY729 @ SY730 )
| ~ ( SV37 @ SY730 @ SY731 ) )
| ( SV37 @ SY729 @ SY731 ) ) )
= $false )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(397,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ! [SY769: $i,SY770: $i] :
( ~ ~ ( ~ ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ SY769 )
| ~ ( SV33 @ SY769 @ SY770 ) )
| ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ SY770 ) ) )
= $false )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[371]) ).
thf(398,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
| ~ ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) ) ) )
= $false )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(399,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $false )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(400,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ( ~ ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
| ~ ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) ) ) )
= $true )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(401,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $false )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $false )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(402,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ! [SY738: $i,SY739: $i,SY740: $i] :
( ~ ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY739 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY739 @ SY740 ) )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY740 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(403,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ! [SY741: $i,SY742: $i] :
( ~ ( sK1_SY0 @ SY741 @ SY742 )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY741 @ SY742 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(404,plain,
! [SV42: $i,SV40: $i,SV38: $i,SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV40 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV40 @ SV42 ) ) )
= $true )
| ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV42 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(405,plain,
! [SV4: $i,SV13: $i,SV16: $i,SV41: $i,SV39: $i] :
( ( ( sK1_SY0 @ SV39 @ SV41 )
= $false )
| ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV39 @ SV41 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(406,plain,
! [SV8: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK49_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK55_SY753 @ SV8 @ SV2 @ SV1 @ SV3 ) )
| ( SV8 @ ( sK49_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK55_SY753 @ SV8 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[378]) ).
thf(407,plain,
! [SV8: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK50_SY620 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK56_SY754 @ SV8 @ SV3 @ SV1 @ SV2 ) )
| ( SV8 @ ( sK50_SY620 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK56_SY754 @ SV8 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[379]) ).
thf(408,plain,
! [SV9: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK51_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK57_SY755 @ SV9 @ SV3 @ SV1 @ SV2 ) )
| ( SV9 @ ( sK51_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK57_SY755 @ SV9 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[380]) ).
thf(409,plain,
! [SV9: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK52_SY625 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK58_SY756 @ SV9 @ SV2 @ SV1 @ SV3 ) )
| ( SV9 @ ( sK52_SY625 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK58_SY756 @ SV9 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[381]) ).
thf(410,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY757: $i,SY758: $i,SY759: $i] :
( ~ ~ ( ~ ( SV43 @ SY757 @ SY758 )
| ~ ( SV43 @ SY758 @ SY759 ) )
| ( SV43 @ SY757 @ SY759 ) )
| ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(411,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY762: $i,SY763: $i,SY764: $i] :
( ~ ~ ( ~ ( SV44 @ SY762 @ SY763 )
| ~ ( SV44 @ SY763 @ SY764 ) )
| ( SV44 @ SY762 @ SY764 ) )
| ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(412,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( ! [SY771: $i,SY772: $i] :
( ~ ~ ( ~ ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ SY771 )
| ~ ( SV34 @ SY771 @ SY772 ) )
| ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ SY772 ) ) )
= $false )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[384]) ).
thf(413,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( ! [SY773: $i,SY774: $i] :
( ~ ~ ( ~ ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ SY773 )
| ~ ( SV35 @ SY773 @ SY774 ) )
| ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ SY774 ) ) )
= $false )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[385]) ).
thf(414,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $false )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(415,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( ! [SY636: $i,SY637: $i] :
( ~ ( sK1_SY0 @ SY636 @ SY637 )
| ( SV17 @ SY636 @ SY637 ) ) )
= $false )
| ( ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(416,plain,
! [SV17: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK42_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK46_SY749 @ SV17 @ SV2 @ SV1 @ SV3 ) )
= $true )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $false )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(417,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $false )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(418,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( ! [SY641: $i,SY642: $i] :
( ~ ( sK1_SY0 @ SY641 @ SY642 )
| ( SV18 @ SY641 @ SY642 ) ) )
= $false )
| ( ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(419,plain,
! [SV18: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK43_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK47_SY750 @ SV18 @ SV3 @ SV1 @ SV2 ) )
= $true )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $false )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(420,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ! [SY775: $i,SY776: $i] :
( ~ ~ ( ~ ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ SY775 )
| ~ ( SV36 @ SY775 @ SY776 ) )
| ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ SY776 ) ) )
= $false )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[394]) ).
thf(421,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ! [SY777: $i] :
( ~ ~ ( ~ ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
| ~ ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ SY777 ) )
| ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ SY777 ) ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[395]) ).
thf(422,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ! [SY778: $i,SY779: $i] :
( ~ ~ ( ~ ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ SY778 )
| ~ ( SV37 @ SY778 @ SY779 ) )
| ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ SY779 ) ) )
= $false )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[396]) ).
thf(423,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ! [SY780: $i] :
( ~ ~ ( ~ ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
| ~ ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ SY780 ) )
| ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ SY780 ) ) )
= $false )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[397]) ).
thf(424,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ( ~ ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
| ~ ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) ) ) )
= $true )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(425,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $false )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $false )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(426,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
| ~ ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) ) )
= $false )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(427,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY781: $i] :
( ~ ( sK1_SY0 @ ( sK65_SY667 @ SV5 @ SV27 ) @ SY781 )
| ( SV27 @ ( sK65_SY667 @ SV5 @ SV27 ) @ SY781 ) ) )
= $false )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $false )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[401]) ).
thf(428,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ! [SY738: $i,SY739: $i,SY740: $i] :
( ~ ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY739 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY739 @ SY740 ) )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY738 @ SY740 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(429,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ! [SY741: $i,SY742: $i] :
( ~ ( sK1_SY0 @ SY741 @ SY742 )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY741 @ SY742 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(430,plain,
! [SV42: $i,SV40: $i,SV38: $i,SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV40 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV40 @ SV42 ) ) )
= $false )
| ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV42 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(431,plain,
! [SV8: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK49_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK55_SY753 @ SV8 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(432,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK49_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK55_SY753 @ SV8 @ SV2 @ SV1 @ SV3 ) )
= $false )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(433,plain,
! [SV8: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK50_SY620 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK56_SY754 @ SV8 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(434,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK50_SY620 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK56_SY754 @ SV8 @ SV3 @ SV1 @ SV2 ) )
= $false )
| ( ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(435,plain,
! [SV9: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK51_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK57_SY755 @ SV9 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(436,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV9: $i > $i > $o] :
( ( ( SV9 @ ( sK51_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK57_SY755 @ SV9 @ SV3 @ SV1 @ SV2 ) )
= $false )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(437,plain,
! [SV9: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK52_SY625 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK58_SY756 @ SV9 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(438,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV9: $i > $i > $o] :
( ( ( SV9 @ ( sK52_SY625 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK58_SY756 @ SV9 @ SV2 @ SV1 @ SV3 ) )
= $false )
| ( ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(439,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY757: $i,SY758: $i,SY759: $i] :
( ~ ~ ( ~ ( SV43 @ SY757 @ SY758 )
| ~ ( SV43 @ SY758 @ SY759 ) )
| ( SV43 @ SY757 @ SY759 ) )
| ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) ) )
= $false )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(440,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY762: $i,SY763: $i,SY764: $i] :
( ~ ~ ( ~ ( SV44 @ SY762 @ SY763 )
| ~ ( SV44 @ SY763 @ SY764 ) )
| ( SV44 @ SY762 @ SY764 ) )
| ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) ) )
= $false )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(441,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( ! [SY782: $i] :
( ~ ~ ( ~ ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
| ~ ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ SY782 ) )
| ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ SY782 ) ) )
= $false )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[412]) ).
thf(442,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( ! [SY783: $i] :
( ~ ~ ( ~ ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
| ~ ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ SY783 ) )
| ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ SY783 ) ) )
= $false )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[413]) ).
thf(443,plain,
! [SV17: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ! [SY784: $i] :
( ~ ( sK1_SY0 @ ( sK68_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ SY784 )
| ( SV17 @ ( sK68_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ SY784 ) ) )
= $false )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[414]) ).
thf(444,plain,
! [SV17: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ! [SY785: $i] :
( ~ ( sK1_SY0 @ ( sK69_SY636 @ SV2 @ SV1 @ SV3 @ SV17 ) @ SY785 )
| ( SV17 @ ( sK69_SY636 @ SV2 @ SV1 @ SV3 @ SV17 ) @ SY785 ) ) )
= $false )
| ( ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[415]) ).
thf(445,plain,
! [SV18: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ! [SY786: $i] :
( ~ ( sK1_SY0 @ ( sK70_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ SY786 )
| ( SV18 @ ( sK70_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ SY786 ) ) )
= $false )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[417]) ).
thf(446,plain,
! [SV18: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ! [SY787: $i] :
( ~ ( sK1_SY0 @ ( sK71_SY641 @ SV3 @ SV1 @ SV2 @ SV18 ) @ SY787 )
| ( SV18 @ ( sK71_SY641 @ SV3 @ SV1 @ SV2 @ SV18 ) @ SY787 ) ) )
= $false )
| ( ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[418]) ).
thf(447,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ! [SY788: $i] :
( ~ ~ ( ~ ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
| ~ ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ SY788 ) )
| ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ SY788 ) ) )
= $false )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[420]) ).
thf(448,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
| ~ ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) ) )
| ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[421]) ).
thf(449,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ! [SY789: $i] :
( ~ ~ ( ~ ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
| ~ ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ SY789 ) )
| ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ SY789 ) ) )
= $false )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[422]) ).
thf(450,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
| ~ ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) ) )
| ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) ) )
= $false )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[423]) ).
thf(451,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
| ~ ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) ) )
= $false )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(452,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY790: $i] :
( ~ ( sK1_SY0 @ ( sK76_SY677 @ SV5 @ SV30 ) @ SY790 )
| ( SV30 @ ( sK76_SY677 @ SV5 @ SV30 ) @ SY790 ) ) )
= $false )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $false )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[425]) ).
thf(453,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) ) )
= $false )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[426]) ).
thf(454,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ~ ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) ) )
= $false )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[426]) ).
thf(455,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK65_SY667 @ SV5 @ SV27 ) @ ( sK77_SY781 @ SV27 @ SV5 ) )
| ( SV27 @ ( sK65_SY667 @ SV5 @ SV27 ) @ ( sK77_SY781 @ SV27 @ SV5 ) ) )
= $false )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $false )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[427]) ).
thf(456,plain,
! [SV45: $i,SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ! [SY791: $i,SY792: $i] :
( ~ ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SY791 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SY791 @ SY792 ) )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SY792 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(457,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i,SV46: $i] :
( ( ( ! [SY793: $i] :
( ~ ( sK1_SY0 @ SV46 @ SY793 )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV46 @ SY793 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(458,plain,
! [SV42: $i,SV40: $i,SV38: $i,SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV40 )
| ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV40 @ SV42 ) )
= $true )
| ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV42 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(459,plain,
! [SV8: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK49_SY620 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK55_SY753 @ SV8 @ SV2 @ SV1 @ SV3 ) )
= $true )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(460,plain,
! [SV8: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK50_SY620 @ SV2 @ SV1 @ SV3 @ SV8 ) @ ( sK56_SY754 @ SV8 @ SV3 @ SV1 @ SV2 ) )
= $true )
| ( ( SV8 @ ( sK23_SY670 @ SV3 @ SV1 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV1 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(461,plain,
! [SV9: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK51_SY625 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK57_SY755 @ SV9 @ SV3 @ SV1 @ SV2 ) )
= $true )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(462,plain,
! [SV9: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK52_SY625 @ SV3 @ SV1 @ SV2 @ SV9 ) @ ( sK58_SY756 @ SV9 @ SV2 @ SV1 @ SV3 ) )
= $true )
| ( ( SV9 @ ( sK24_SY672 @ SV2 @ SV1 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK5_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(463,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( ~ ! [SY757: $i,SY758: $i,SY759: $i] :
( ~ ~ ( ~ ( SV43 @ SY757 @ SY758 )
| ~ ( SV43 @ SY758 @ SY759 ) )
| ( SV43 @ SY757 @ SY759 ) )
| ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(464,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( ~ ! [SY762: $i,SY763: $i,SY764: $i] :
( ~ ~ ( ~ ( SV44 @ SY762 @ SY763 )
| ~ ( SV44 @ SY763 @ SY764 ) )
| ( SV44 @ SY762 @ SY764 ) )
| ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(465,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
| ~ ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) ) )
| ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) ) )
= $false )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[441]) ).
thf(466,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
| ~ ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) ) )
| ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) ) )
= $false )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[442]) ).
thf(467,plain,
! [SV17: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK68_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK80_SY784 @ SV17 @ SV2 @ SV1 @ SV3 ) )
| ( SV17 @ ( sK68_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK80_SY784 @ SV17 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[443]) ).
thf(468,plain,
! [SV17: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK69_SY636 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK81_SY785 @ SV17 @ SV3 @ SV1 @ SV2 ) )
| ( SV17 @ ( sK69_SY636 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK81_SY785 @ SV17 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[444]) ).
thf(469,plain,
! [SV18: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK70_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK82_SY786 @ SV18 @ SV3 @ SV1 @ SV2 ) )
| ( SV18 @ ( sK70_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK82_SY786 @ SV18 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[445]) ).
thf(470,plain,
! [SV18: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK71_SY641 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK83_SY787 @ SV18 @ SV2 @ SV1 @ SV3 ) )
| ( SV18 @ ( sK71_SY641 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK83_SY787 @ SV18 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[446]) ).
thf(471,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
| ~ ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) ) )
| ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) ) )
= $false )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[447]) ).
thf(472,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
| ~ ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) ) ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(473,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(474,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
| ~ ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) ) )
| ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) ) )
= $false )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[449]) ).
thf(475,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
| ~ ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) ) ) )
= $false )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(476,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $false )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(477,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) ) )
= $false )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(478,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ~ ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) ) )
= $false )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(479,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK76_SY677 @ SV5 @ SV30 ) @ ( sK86_SY790 @ SV30 @ SV5 ) )
| ( SV30 @ ( sK76_SY677 @ SV5 @ SV30 ) @ ( sK86_SY790 @ SV30 @ SV5 ) ) )
= $false )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $false )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[452]) ).
thf(480,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
= $true )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(481,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $true )
| ( ( ~ ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(482,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK65_SY667 @ SV5 @ SV27 ) @ ( sK77_SY781 @ SV27 @ SV5 ) ) )
= $false )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $false )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(483,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( SV27 @ ( sK65_SY667 @ SV5 @ SV27 ) @ ( sK77_SY781 @ SV27 @ SV5 ) )
= $false )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $false )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(484,plain,
! [SV47: $i,SV45: $i,SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ! [SY794: $i] :
( ~ ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV47 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV47 @ SY794 ) )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SY794 ) ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(485,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i,SV48: $i,SV46: $i] :
( ( ( ~ ( sK1_SY0 @ SV46 @ SV48 )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV46 @ SV48 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(486,plain,
! [SV42: $i,SV40: $i,SV38: $i,SV4: $i,SV13: $i,SV16: $i] :
( ( ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV40 ) )
= $true )
| ( ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV40 @ SV42 ) )
= $true )
| ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV42 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(487,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( ~ ! [SY757: $i,SY758: $i,SY759: $i] :
( ~ ~ ( ~ ( SV43 @ SY757 @ SY758 )
| ~ ( SV43 @ SY758 @ SY759 ) )
| ( SV43 @ SY757 @ SY759 ) ) )
= $true )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(488,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( ~ ! [SY762: $i,SY763: $i,SY764: $i] :
( ~ ~ ( ~ ( SV44 @ SY762 @ SY763 )
| ~ ( SV44 @ SY763 @ SY764 ) )
| ( SV44 @ SY762 @ SY764 ) ) )
= $true )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(489,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
| ~ ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) ) ) )
= $false )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(490,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $false )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(491,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
| ~ ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) ) ) )
= $false )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(492,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $false )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(493,plain,
! [SV17: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK68_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK80_SY784 @ SV17 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(494,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK68_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK80_SY784 @ SV17 @ SV2 @ SV1 @ SV3 ) )
= $false )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(495,plain,
! [SV17: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK69_SY636 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK81_SY785 @ SV17 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(496,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK69_SY636 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK81_SY785 @ SV17 @ SV3 @ SV1 @ SV2 ) )
= $false )
| ( ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(497,plain,
! [SV18: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK70_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK82_SY786 @ SV18 @ SV3 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(498,plain,
! [SV3: $i,SV1: $i,SV2: $i,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK70_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK82_SY786 @ SV18 @ SV3 @ SV1 @ SV2 ) )
= $false )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(499,plain,
! [SV18: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK71_SY641 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK83_SY787 @ SV18 @ SV2 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(500,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK71_SY641 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK83_SY787 @ SV18 @ SV2 @ SV1 @ SV3 ) )
= $false )
| ( ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(501,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
| ~ ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) ) ) )
= $false )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(502,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $false )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(503,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ( ~ ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
| ~ ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(504,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $false )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $false )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(505,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
| ~ ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) ) ) )
= $false )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(506,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $false )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(507,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ( ~ ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
| ~ ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) ) ) )
= $true )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(508,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $false )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $false )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(509,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
= $true )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(510,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $true )
| ( ( ~ ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(511,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK76_SY677 @ SV5 @ SV30 ) @ ( sK86_SY790 @ SV30 @ SV5 ) ) )
= $false )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $false )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(512,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( SV30 @ ( sK76_SY677 @ SV5 @ SV30 ) @ ( sK86_SY790 @ SV30 @ SV5 ) )
= $false )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $false )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(513,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $false )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(514,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( ! [SY667: $i,SY668: $i] :
( ~ ( sK1_SY0 @ SY667 @ SY668 )
| ( SV27 @ SY667 @ SY668 ) ) )
= $false )
| ( ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(515,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK65_SY667 @ SV5 @ SV27 ) @ ( sK77_SY781 @ SV27 @ SV5 ) )
= $true )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $false )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(516,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV47 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV47 @ SV49 ) )
| ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV49 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(517,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i,SV48: $i,SV46: $i] :
( ( ( ~ ( sK1_SY0 @ SV46 @ SV48 ) )
= $true )
| ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV46 @ SV48 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(518,plain,
! [SV42: $i,SV40: $i,SV38: $i,SV4: $i,SV13: $i,SV16: $i] :
( ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV40 )
= $false )
| ( ( ~ ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV40 @ SV42 ) )
= $true )
| ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV42 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(519,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( ! [SY757: $i,SY758: $i,SY759: $i] :
( ~ ~ ( ~ ( SV43 @ SY757 @ SY758 )
| ~ ( SV43 @ SY758 @ SY759 ) )
| ( SV43 @ SY757 @ SY759 ) ) )
= $false )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(520,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( ! [SY762: $i,SY763: $i,SY764: $i] :
( ~ ~ ( ~ ( SV44 @ SY762 @ SY763 )
| ~ ( SV44 @ SY763 @ SY764 ) )
| ( SV44 @ SY762 @ SY764 ) ) )
= $false )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(521,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( ~ ( ~ ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
| ~ ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) ) ) )
= $true )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(522,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $false )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $false )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(523,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( ~ ( ~ ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
| ~ ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) ) ) )
= $true )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(524,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $false )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $false )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(525,plain,
! [SV17: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK68_SY636 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK80_SY784 @ SV17 @ SV2 @ SV1 @ SV3 ) )
= $true )
| ( ( SV17 @ ( sK27_SY633 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(526,plain,
! [SV17: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK69_SY636 @ SV2 @ SV1 @ SV3 @ SV17 ) @ ( sK81_SY785 @ SV17 @ SV3 @ SV1 @ SV2 ) )
= $true )
| ( ( SV17 @ ( sK30_SY686 @ SV3 @ SV1 @ SV2 @ SV17 ) @ ( sK32_SY702 @ SV3 @ SV1 @ SV2 @ SV17 ) )
= $true )
| ( ( SV17 @ SV3 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(527,plain,
! [SV18: $i > $i > $o,SV3: $i,SV1: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK70_SY641 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK82_SY786 @ SV18 @ SV3 @ SV1 @ SV2 ) )
= $true )
| ( ( SV18 @ ( sK28_SY638 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(528,plain,
! [SV18: $i > $i > $o,SV2: $i,SV1: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK71_SY641 @ SV3 @ SV1 @ SV2 @ SV18 ) @ ( sK83_SY787 @ SV18 @ SV2 @ SV1 @ SV3 ) )
= $true )
| ( ( SV18 @ ( sK31_SY688 @ SV2 @ SV1 @ SV3 @ SV18 ) @ ( sK33_SY703 @ SV2 @ SV1 @ SV3 @ SV18 ) )
= $true )
| ( ( SV18 @ SV2 @ ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK7_SY512 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(529,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ( ~ ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
| ~ ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) ) ) )
= $true )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(530,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $false )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $false )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(531,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
| ~ ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(532,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY795: $i] :
( ~ ( sK1_SY0 @ ( sK87_SY707 @ SV5 @ SV32 ) @ SY795 )
| ( SV32 @ ( sK87_SY707 @ SV5 @ SV32 ) @ SY795 ) ) )
= $false )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $false )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[504]) ).
thf(533,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ( ~ ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
| ~ ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) ) ) )
= $true )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(534,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $false )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $false )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(535,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
| ~ ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) ) )
= $false )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(536,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY796: $i] :
( ~ ( sK1_SY0 @ ( sK88_SY712 @ SV5 @ SV33 ) @ SY796 )
| ( SV33 @ ( sK88_SY712 @ SV5 @ SV33 ) @ SY796 ) ) )
= $false )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $false )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[508]) ).
thf(537,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $false )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(538,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( ! [SY677: $i,SY678: $i] :
( ~ ( sK1_SY0 @ SY677 @ SY678 )
| ( SV30 @ SY677 @ SY678 ) ) )
= $false )
| ( ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(539,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK76_SY677 @ SV5 @ SV30 ) @ ( sK86_SY790 @ SV30 @ SV5 ) )
= $true )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $false )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(540,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY797: $i] :
( ~ ( sK1_SY0 @ ( sK89_SY667 @ SV5 @ SV27 ) @ SY797 )
| ( SV27 @ ( sK89_SY667 @ SV5 @ SV27 ) @ SY797 ) ) )
= $false )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[513]) ).
thf(541,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY798: $i] :
( ~ ( sK1_SY0 @ ( sK90_SY667 @ SV5 @ SV27 ) @ SY798 )
| ( SV27 @ ( sK90_SY667 @ SV5 @ SV27 ) @ SY798 ) ) )
= $false )
| ( ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[514]) ).
thf(542,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV47 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV47 @ SV49 ) ) )
= $true )
| ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV49 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(543,plain,
! [SV4: $i,SV12: $i,SV21: $i,SV15: $i,SV48: $i,SV46: $i] :
( ( ( sK1_SY0 @ SV46 @ SV48 )
= $false )
| ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV46 @ SV48 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(544,plain,
! [SV38: $i,SV42: $i,SV40: $i,SV4: $i,SV13: $i,SV16: $i] :
( ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV40 @ SV42 )
= $false )
| ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV40 )
= $false )
| ( ( sK22_SY556 @ SV16 @ SV13 @ SV4 @ SV38 @ SV42 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV13 @ SV16 )
= $true )
| ( ( sK1_SY0 @ SV13 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(545,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( ! [SY799: $i,SY800: $i] :
( ~ ~ ( ~ ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ SY799 )
| ~ ( SV43 @ SY799 @ SY800 ) )
| ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ SY800 ) ) )
= $false )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[519]) ).
thf(546,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( ! [SY801: $i,SY802: $i] :
( ~ ~ ( ~ ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ SY801 )
| ~ ( SV44 @ SY801 @ SY802 ) )
| ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ SY802 ) ) )
= $false )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[520]) ).
thf(547,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( ~ ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
| ~ ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) ) )
= $false )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(548,plain,
! [SV34: $i > $i > $o,SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ! [SY803: $i] :
( ~ ( sK1_SY0 @ ( sK93_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ SY803 )
| ( SV34 @ ( sK93_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ SY803 ) ) )
= $false )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $false )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[522]) ).
thf(549,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( ~ ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
| ~ ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) ) )
= $false )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(550,plain,
! [SV35: $i > $i > $o,SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ! [SY804: $i] :
( ~ ( sK1_SY0 @ ( sK94_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ SY804 )
| ( SV35 @ ( sK94_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ SY804 ) ) )
= $false )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $false )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[524]) ).
thf(551,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
| ~ ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) ) )
= $false )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(552,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY805: $i] :
( ~ ( sK1_SY0 @ ( sK95_SY727 @ SV5 @ SV36 ) @ SY805 )
| ( SV36 @ ( sK95_SY727 @ SV5 @ SV36 ) @ SY805 ) ) )
= $false )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $false )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[530]) ).
thf(553,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(554,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ~ ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(555,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK87_SY707 @ SV5 @ SV32 ) @ ( sK96_SY795 @ SV32 @ SV5 ) )
| ( SV32 @ ( sK87_SY707 @ SV5 @ SV32 ) @ ( sK96_SY795 @ SV32 @ SV5 ) ) )
= $false )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $false )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[532]) ).
thf(556,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
| ~ ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) ) )
= $false )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(557,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY806: $i] :
( ~ ( sK1_SY0 @ ( sK97_SY732 @ SV5 @ SV37 ) @ SY806 )
| ( SV37 @ ( sK97_SY732 @ SV5 @ SV37 ) @ SY806 ) ) )
= $false )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $false )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[534]) ).
thf(558,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) ) )
= $false )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(559,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ~ ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) ) )
= $false )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(560,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK88_SY712 @ SV5 @ SV33 ) @ ( sK98_SY796 @ SV33 @ SV5 ) )
| ( SV33 @ ( sK88_SY712 @ SV5 @ SV33 ) @ ( sK98_SY796 @ SV33 @ SV5 ) ) )
= $false )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $false )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[536]) ).
thf(561,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY807: $i] :
( ~ ( sK1_SY0 @ ( sK99_SY677 @ SV5 @ SV30 ) @ SY807 )
| ( SV30 @ ( sK99_SY677 @ SV5 @ SV30 ) @ SY807 ) ) )
= $false )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[537]) ).
thf(562,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY808: $i] :
( ~ ( sK1_SY0 @ ( sK100_SY677 @ SV5 @ SV30 ) @ SY808 )
| ( SV30 @ ( sK100_SY677 @ SV5 @ SV30 ) @ SY808 ) ) )
= $false )
| ( ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[538]) ).
thf(563,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK89_SY667 @ SV5 @ SV27 ) @ ( sK101_SY797 @ SV27 @ SV5 ) )
| ( SV27 @ ( sK89_SY667 @ SV5 @ SV27 ) @ ( sK101_SY797 @ SV27 @ SV5 ) ) )
= $false )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[540]) ).
thf(564,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK90_SY667 @ SV5 @ SV27 ) @ ( sK102_SY798 @ SV27 @ SV5 ) )
| ( SV27 @ ( sK90_SY667 @ SV5 @ SV27 ) @ ( sK102_SY798 @ SV27 @ SV5 ) ) )
= $false )
| ( ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[541]) ).
thf(565,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV47 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV47 @ SV49 ) ) )
= $false )
| ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV49 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(566,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( ! [SY809: $i] :
( ~ ~ ( ~ ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
| ~ ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ SY809 ) )
| ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ SY809 ) ) )
= $false )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[545]) ).
thf(567,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( ! [SY810: $i] :
( ~ ~ ( ~ ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
| ~ ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ SY810 ) )
| ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ SY810 ) ) )
= $false )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[546]) ).
thf(568,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( ~ ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) ) )
= $false )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(569,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( ~ ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) ) )
= $false )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(570,plain,
! [SV34: $i > $i > $o,SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK93_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK105_SY803 @ SV34 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 ) )
| ( SV34 @ ( sK93_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK105_SY803 @ SV34 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 ) ) )
= $false )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $false )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[548]) ).
thf(571,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( ~ ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) ) )
= $false )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(572,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( ~ ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) ) )
= $false )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(573,plain,
! [SV35: $i > $i > $o,SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK94_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK106_SY804 @ SV35 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 ) )
| ( SV35 @ ( sK94_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK106_SY804 @ SV35 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 ) ) )
= $false )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $false )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[550]) ).
thf(574,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) ) )
= $false )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(575,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ~ ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) ) )
= $false )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(576,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK95_SY727 @ SV5 @ SV36 ) @ ( sK107_SY805 @ SV36 @ SV5 ) )
| ( SV36 @ ( sK95_SY727 @ SV5 @ SV36 ) @ ( sK107_SY805 @ SV36 @ SV5 ) ) )
= $false )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $false )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[552]) ).
thf(577,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(578,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(579,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK87_SY707 @ SV5 @ SV32 ) @ ( sK96_SY795 @ SV32 @ SV5 ) ) )
= $false )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $false )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(580,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( SV32 @ ( sK87_SY707 @ SV5 @ SV32 ) @ ( sK96_SY795 @ SV32 @ SV5 ) )
= $false )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $false )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(581,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) ) )
= $false )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(582,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ~ ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) ) )
= $false )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(583,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK97_SY732 @ SV5 @ SV37 ) @ ( sK108_SY806 @ SV37 @ SV5 ) )
| ( SV37 @ ( sK97_SY732 @ SV5 @ SV37 ) @ ( sK108_SY806 @ SV37 @ SV5 ) ) )
= $false )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $false )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[557]) ).
thf(584,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
= $true )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(585,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $true )
| ( ( ~ ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(586,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK88_SY712 @ SV5 @ SV33 ) @ ( sK98_SY796 @ SV33 @ SV5 ) ) )
= $false )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $false )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(587,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( SV33 @ ( sK88_SY712 @ SV5 @ SV33 ) @ ( sK98_SY796 @ SV33 @ SV5 ) )
= $false )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $false )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(588,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK99_SY677 @ SV5 @ SV30 ) @ ( sK109_SY807 @ SV30 @ SV5 ) )
| ( SV30 @ ( sK99_SY677 @ SV5 @ SV30 ) @ ( sK109_SY807 @ SV30 @ SV5 ) ) )
= $false )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[561]) ).
thf(589,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK100_SY677 @ SV5 @ SV30 ) @ ( sK110_SY808 @ SV30 @ SV5 ) )
| ( SV30 @ ( sK100_SY677 @ SV5 @ SV30 ) @ ( sK110_SY808 @ SV30 @ SV5 ) ) )
= $false )
| ( ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[562]) ).
thf(590,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK89_SY667 @ SV5 @ SV27 ) @ ( sK101_SY797 @ SV27 @ SV5 ) ) )
= $false )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(591,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( SV27 @ ( sK89_SY667 @ SV5 @ SV27 ) @ ( sK101_SY797 @ SV27 @ SV5 ) )
= $false )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(592,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK90_SY667 @ SV5 @ SV27 ) @ ( sK102_SY798 @ SV27 @ SV5 ) ) )
= $false )
| ( ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(593,plain,
! [SV5: $i > $i > $o,SV27: $i > $i > $o] :
( ( ( SV27 @ ( sK90_SY667 @ SV5 @ SV27 ) @ ( sK102_SY798 @ SV27 @ SV5 ) )
= $false )
| ( ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(594,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV47 )
| ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV47 @ SV49 ) )
= $true )
| ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV49 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(595,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
| ~ ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) ) )
| ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) ) )
= $false )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[566]) ).
thf(596,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
| ~ ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) ) )
| ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) ) )
= $false )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[567]) ).
thf(597,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(598,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( ~ ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(599,plain,
! [SV34: $i > $i > $o,SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK93_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK105_SY803 @ SV34 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 ) ) )
= $false )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $false )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(600,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( SV34 @ ( sK93_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK105_SY803 @ SV34 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 ) )
= $false )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $false )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(601,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(602,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( ~ ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(603,plain,
! [SV35: $i > $i > $o,SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK94_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK106_SY804 @ SV35 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 ) ) )
= $false )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $false )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(604,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( SV35 @ ( sK94_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK106_SY804 @ SV35 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 ) )
= $false )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $false )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(605,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
= $true )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(606,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $true )
| ( ( ~ ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(607,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK95_SY727 @ SV5 @ SV36 ) @ ( sK107_SY805 @ SV36 @ SV5 ) ) )
= $false )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $false )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(608,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( SV36 @ ( sK95_SY727 @ SV5 @ SV36 ) @ ( sK107_SY805 @ SV36 @ SV5 ) )
= $false )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $false )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(609,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $false )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(610,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( ! [SY707: $i,SY708: $i] :
( ~ ( sK1_SY0 @ SY707 @ SY708 )
| ( SV32 @ SY707 @ SY708 ) ) )
= $false )
| ( ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(611,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK87_SY707 @ SV5 @ SV32 ) @ ( sK96_SY795 @ SV32 @ SV5 ) )
= $true )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $false )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(612,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
= $true )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(613,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $true )
| ( ( ~ ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(614,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK97_SY732 @ SV5 @ SV37 ) @ ( sK108_SY806 @ SV37 @ SV5 ) ) )
= $false )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $false )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(615,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( SV37 @ ( sK97_SY732 @ SV5 @ SV37 ) @ ( sK108_SY806 @ SV37 @ SV5 ) )
= $false )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $false )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(616,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $false )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(617,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( ! [SY712: $i,SY713: $i] :
( ~ ( sK1_SY0 @ SY712 @ SY713 )
| ( SV33 @ SY712 @ SY713 ) ) )
= $false )
| ( ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(618,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK88_SY712 @ SV5 @ SV33 ) @ ( sK98_SY796 @ SV33 @ SV5 ) )
= $true )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $false )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(619,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK99_SY677 @ SV5 @ SV30 ) @ ( sK109_SY807 @ SV30 @ SV5 ) ) )
= $false )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(620,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( SV30 @ ( sK99_SY677 @ SV5 @ SV30 ) @ ( sK109_SY807 @ SV30 @ SV5 ) )
= $false )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(621,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK100_SY677 @ SV5 @ SV30 ) @ ( sK110_SY808 @ SV30 @ SV5 ) ) )
= $false )
| ( ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(622,plain,
! [SV5: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( SV30 @ ( sK100_SY677 @ SV5 @ SV30 ) @ ( sK110_SY808 @ SV30 @ SV5 ) )
= $false )
| ( ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(623,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK89_SY667 @ SV5 @ SV27 ) @ ( sK101_SY797 @ SV27 @ SV5 ) )
= $true )
| ( ( SV27 @ ( sK36_SY664 @ SV5 @ SV27 ) @ ( sK41_SY736 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(624,plain,
! [SV27: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK90_SY667 @ SV5 @ SV27 ) @ ( sK102_SY798 @ SV27 @ SV5 ) )
= $true )
| ( ( SV27 @ ( sK41_SY736 @ SV5 @ SV27 ) @ ( sK45_SY745 @ SV5 @ SV27 ) )
= $true )
| ( ( SV27 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(625,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV47 ) )
= $true )
| ( ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV47 @ SV49 ) )
= $true )
| ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV49 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(626,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
| ~ ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) ) ) )
= $false )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(627,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $false )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(628,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
| ~ ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) ) ) )
= $false )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(629,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $false )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(630,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $false )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(631,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( ! [SY717: $i,SY718: $i] :
( ~ ( sK1_SY0 @ SY717 @ SY718 )
| ( SV34 @ SY717 @ SY718 ) ) )
= $false )
| ( ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(632,plain,
! [SV34: $i > $i > $o,SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK93_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK105_SY803 @ SV34 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 ) )
= $true )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $false )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(633,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $false )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(634,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( ! [SY722: $i,SY723: $i] :
( ~ ( sK1_SY0 @ SY722 @ SY723 )
| ( SV35 @ SY722 @ SY723 ) ) )
= $false )
| ( ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(635,plain,
! [SV35: $i > $i > $o,SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK94_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK106_SY804 @ SV35 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 ) )
= $true )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $false )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(636,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $false )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(637,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( ! [SY727: $i,SY728: $i] :
( ~ ( sK1_SY0 @ SY727 @ SY728 )
| ( SV36 @ SY727 @ SY728 ) ) )
= $false )
| ( ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(638,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK95_SY727 @ SV5 @ SV36 ) @ ( sK107_SY805 @ SV36 @ SV5 ) )
= $true )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $false )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(639,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY811: $i] :
( ~ ( sK1_SY0 @ ( sK113_SY707 @ SV5 @ SV32 ) @ SY811 )
| ( SV32 @ ( sK113_SY707 @ SV5 @ SV32 ) @ SY811 ) ) )
= $false )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[609]) ).
thf(640,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY812: $i] :
( ~ ( sK1_SY0 @ ( sK114_SY707 @ SV5 @ SV32 ) @ SY812 )
| ( SV32 @ ( sK114_SY707 @ SV5 @ SV32 ) @ SY812 ) ) )
= $false )
| ( ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[610]) ).
thf(641,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $false )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(642,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( ! [SY732: $i,SY733: $i] :
( ~ ( sK1_SY0 @ SY732 @ SY733 )
| ( SV37 @ SY732 @ SY733 ) ) )
= $false )
| ( ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(643,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK97_SY732 @ SV5 @ SV37 ) @ ( sK108_SY806 @ SV37 @ SV5 ) )
= $true )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $false )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(644,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY813: $i] :
( ~ ( sK1_SY0 @ ( sK115_SY712 @ SV5 @ SV33 ) @ SY813 )
| ( SV33 @ ( sK115_SY712 @ SV5 @ SV33 ) @ SY813 ) ) )
= $false )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[616]) ).
thf(645,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY814: $i] :
( ~ ( sK1_SY0 @ ( sK116_SY712 @ SV5 @ SV33 ) @ SY814 )
| ( SV33 @ ( sK116_SY712 @ SV5 @ SV33 ) @ SY814 ) ) )
= $false )
| ( ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[617]) ).
thf(646,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK99_SY677 @ SV5 @ SV30 ) @ ( sK109_SY807 @ SV30 @ SV5 ) )
= $true )
| ( ( SV30 @ ( sK40_SY674 @ SV5 @ SV30 ) @ ( sK44_SY743 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(647,plain,
! [SV30: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK100_SY677 @ SV5 @ SV30 ) @ ( sK110_SY808 @ SV30 @ SV5 ) )
= $true )
| ( ( SV30 @ ( sK44_SY743 @ SV5 @ SV30 ) @ ( sK48_SY751 @ SV5 @ SV30 ) )
= $true )
| ( ( SV30 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ ( sK13_SY565 @ SV5 ) @ ( sK14_SY631 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(648,plain,
! [SV49: $i,SV47: $i,SV45: $i,SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV47 )
= $false )
| ( ( ~ ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV47 @ SV49 ) )
= $true )
| ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV49 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(649,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( ~ ( ~ ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
| ~ ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) ) ) )
= $true )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(650,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $false )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $false )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(651,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( ~ ( ~ ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
| ~ ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) ) ) )
= $true )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(652,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $false )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $false )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(653,plain,
! [SV34: $i > $i > $o,SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ! [SY815: $i] :
( ~ ( sK1_SY0 @ ( sK117_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ SY815 )
| ( SV34 @ ( sK117_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ SY815 ) ) )
= $false )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[630]) ).
thf(654,plain,
! [SV34: $i > $i > $o,SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i] :
( ( ( ! [SY816: $i] :
( ~ ( sK1_SY0 @ ( sK118_SY717 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ SY816 )
| ( SV34 @ ( sK118_SY717 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ SY816 ) ) )
= $false )
| ( ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[631]) ).
thf(655,plain,
! [SV35: $i > $i > $o,SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ! [SY817: $i] :
( ~ ( sK1_SY0 @ ( sK119_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ SY817 )
| ( SV35 @ ( sK119_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ SY817 ) ) )
= $false )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[633]) ).
thf(656,plain,
! [SV35: $i > $i > $o,SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i] :
( ( ( ! [SY818: $i] :
( ~ ( sK1_SY0 @ ( sK120_SY722 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ SY818 )
| ( SV35 @ ( sK120_SY722 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ SY818 ) ) )
= $false )
| ( ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[634]) ).
thf(657,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY819: $i] :
( ~ ( sK1_SY0 @ ( sK121_SY727 @ SV5 @ SV36 ) @ SY819 )
| ( SV36 @ ( sK121_SY727 @ SV5 @ SV36 ) @ SY819 ) ) )
= $false )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[636]) ).
thf(658,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY820: $i] :
( ~ ( sK1_SY0 @ ( sK122_SY727 @ SV5 @ SV36 ) @ SY820 )
| ( SV36 @ ( sK122_SY727 @ SV5 @ SV36 ) @ SY820 ) ) )
= $false )
| ( ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[637]) ).
thf(659,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK113_SY707 @ SV5 @ SV32 ) @ ( sK123_SY811 @ SV32 @ SV5 ) )
| ( SV32 @ ( sK113_SY707 @ SV5 @ SV32 ) @ ( sK123_SY811 @ SV32 @ SV5 ) ) )
= $false )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[639]) ).
thf(660,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK114_SY707 @ SV5 @ SV32 ) @ ( sK124_SY812 @ SV32 @ SV5 ) )
| ( SV32 @ ( sK114_SY707 @ SV5 @ SV32 ) @ ( sK124_SY812 @ SV32 @ SV5 ) ) )
= $false )
| ( ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[640]) ).
thf(661,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY821: $i] :
( ~ ( sK1_SY0 @ ( sK125_SY732 @ SV5 @ SV37 ) @ SY821 )
| ( SV37 @ ( sK125_SY732 @ SV5 @ SV37 ) @ SY821 ) ) )
= $false )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[641]) ).
thf(662,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ! [SY822: $i] :
( ~ ( sK1_SY0 @ ( sK126_SY732 @ SV5 @ SV37 ) @ SY822 )
| ( SV37 @ ( sK126_SY732 @ SV5 @ SV37 ) @ SY822 ) ) )
= $false )
| ( ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[642]) ).
thf(663,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK115_SY712 @ SV5 @ SV33 ) @ ( sK127_SY813 @ SV33 @ SV5 ) )
| ( SV33 @ ( sK115_SY712 @ SV5 @ SV33 ) @ ( sK127_SY813 @ SV33 @ SV5 ) ) )
= $false )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[644]) ).
thf(664,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK116_SY712 @ SV5 @ SV33 ) @ ( sK128_SY814 @ SV33 @ SV5 ) )
| ( SV33 @ ( sK116_SY712 @ SV5 @ SV33 ) @ ( sK128_SY814 @ SV33 @ SV5 ) ) )
= $false )
| ( ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[645]) ).
thf(665,plain,
! [SV45: $i,SV49: $i,SV47: $i,SV4: $i,SV12: $i,SV21: $i,SV15: $i] :
( ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV47 @ SV49 )
= $false )
| ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV47 )
= $false )
| ( ( sK37_SY556 @ SV15 @ SV21 @ SV12 @ SV4 @ SV45 @ SV49 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV21 )
= $true )
| ( ( sK6_SY550 @ SV4 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ SV4 @ SV15 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(666,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( ~ ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
| ~ ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) ) )
= $false )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(667,plain,
! [SV43: $i > $i > $o,SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ! [SY823: $i] :
( ~ ( sK1_SY0 @ ( sK129_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ SY823 )
| ( SV43 @ ( sK129_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ SY823 ) ) )
= $false )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $false )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[650]) ).
thf(668,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( ~ ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
| ~ ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) ) )
= $false )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(669,plain,
! [SV44: $i > $i > $o,SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( ! [SY824: $i] :
( ~ ( sK1_SY0 @ ( sK130_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ SY824 )
| ( SV44 @ ( sK130_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ SY824 ) ) )
= $false )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $false )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[652]) ).
thf(670,plain,
! [SV34: $i > $i > $o,SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK117_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK131_SY815 @ SV34 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 ) )
| ( SV34 @ ( sK117_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK131_SY815 @ SV34 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 ) ) )
= $false )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[653]) ).
thf(671,plain,
! [SV34: $i > $i > $o,SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK118_SY717 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK132_SY816 @ SV34 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 ) )
| ( SV34 @ ( sK118_SY717 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK132_SY816 @ SV34 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[654]) ).
thf(672,plain,
! [SV35: $i > $i > $o,SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK119_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK133_SY817 @ SV35 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 ) )
| ( SV35 @ ( sK119_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK133_SY817 @ SV35 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 ) ) )
= $false )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[655]) ).
thf(673,plain,
! [SV35: $i > $i > $o,SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK120_SY722 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK134_SY818 @ SV35 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 ) )
| ( SV35 @ ( sK120_SY722 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK134_SY818 @ SV35 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[656]) ).
thf(674,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK121_SY727 @ SV5 @ SV36 ) @ ( sK135_SY819 @ SV36 @ SV5 ) )
| ( SV36 @ ( sK121_SY727 @ SV5 @ SV36 ) @ ( sK135_SY819 @ SV36 @ SV5 ) ) )
= $false )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[657]) ).
thf(675,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK122_SY727 @ SV5 @ SV36 ) @ ( sK136_SY820 @ SV36 @ SV5 ) )
| ( SV36 @ ( sK122_SY727 @ SV5 @ SV36 ) @ ( sK136_SY820 @ SV36 @ SV5 ) ) )
= $false )
| ( ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[658]) ).
thf(676,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK113_SY707 @ SV5 @ SV32 ) @ ( sK123_SY811 @ SV32 @ SV5 ) ) )
= $false )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(677,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( SV32 @ ( sK113_SY707 @ SV5 @ SV32 ) @ ( sK123_SY811 @ SV32 @ SV5 ) )
= $false )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(678,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK114_SY707 @ SV5 @ SV32 ) @ ( sK124_SY812 @ SV32 @ SV5 ) ) )
= $false )
| ( ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(679,plain,
! [SV5: $i > $i > $o,SV32: $i > $i > $o] :
( ( ( SV32 @ ( sK114_SY707 @ SV5 @ SV32 ) @ ( sK124_SY812 @ SV32 @ SV5 ) )
= $false )
| ( ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(680,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK125_SY732 @ SV5 @ SV37 ) @ ( sK137_SY821 @ SV37 @ SV5 ) )
| ( SV37 @ ( sK125_SY732 @ SV5 @ SV37 ) @ ( sK137_SY821 @ SV37 @ SV5 ) ) )
= $false )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[661]) ).
thf(681,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK126_SY732 @ SV5 @ SV37 ) @ ( sK138_SY822 @ SV37 @ SV5 ) )
| ( SV37 @ ( sK126_SY732 @ SV5 @ SV37 ) @ ( sK138_SY822 @ SV37 @ SV5 ) ) )
= $false )
| ( ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[662]) ).
thf(682,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK115_SY712 @ SV5 @ SV33 ) @ ( sK127_SY813 @ SV33 @ SV5 ) ) )
= $false )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(683,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( SV33 @ ( sK115_SY712 @ SV5 @ SV33 ) @ ( sK127_SY813 @ SV33 @ SV5 ) )
= $false )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(684,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK116_SY712 @ SV5 @ SV33 ) @ ( sK128_SY814 @ SV33 @ SV5 ) ) )
= $false )
| ( ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(685,plain,
! [SV5: $i > $i > $o,SV33: $i > $i > $o] :
( ( ( SV33 @ ( sK116_SY712 @ SV5 @ SV33 ) @ ( sK128_SY814 @ SV33 @ SV5 ) )
= $false )
| ( ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(686,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( ~ ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) ) )
= $false )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(687,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( ~ ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) ) )
= $false )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(688,plain,
! [SV43: $i > $i > $o,SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK129_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK139_SY823 @ SV43 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 ) )
| ( SV43 @ ( sK129_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK139_SY823 @ SV43 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 ) ) )
= $false )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $false )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[667]) ).
thf(689,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( ~ ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) ) )
= $false )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(690,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( ~ ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) ) )
= $false )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(691,plain,
! [SV44: $i > $i > $o,SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK130_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK140_SY824 @ SV44 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 ) )
| ( SV44 @ ( sK130_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK140_SY824 @ SV44 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 ) ) )
= $false )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $false )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[669]) ).
thf(692,plain,
! [SV34: $i > $i > $o,SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK117_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK131_SY815 @ SV34 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 ) ) )
= $false )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(693,plain,
! [SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i,SV34: $i > $i > $o] :
( ( ( SV34 @ ( sK117_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK131_SY815 @ SV34 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 ) )
= $false )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(694,plain,
! [SV34: $i > $i > $o,SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK118_SY717 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK132_SY816 @ SV34 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(695,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i,SV34: $i > $i > $o] :
( ( ( SV34 @ ( sK118_SY717 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK132_SY816 @ SV34 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 ) )
= $false )
| ( ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(696,plain,
! [SV35: $i > $i > $o,SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK119_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK133_SY817 @ SV35 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 ) ) )
= $false )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(697,plain,
! [SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i,SV35: $i > $i > $o] :
( ( ( SV35 @ ( sK119_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK133_SY817 @ SV35 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 ) )
= $false )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(698,plain,
! [SV35: $i > $i > $o,SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK120_SY722 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK134_SY818 @ SV35 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(699,plain,
! [SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i,SV35: $i > $i > $o] :
( ( ( SV35 @ ( sK120_SY722 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK134_SY818 @ SV35 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 ) )
= $false )
| ( ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(700,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK121_SY727 @ SV5 @ SV36 ) @ ( sK135_SY819 @ SV36 @ SV5 ) ) )
= $false )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(701,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( SV36 @ ( sK121_SY727 @ SV5 @ SV36 ) @ ( sK135_SY819 @ SV36 @ SV5 ) )
= $false )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(702,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK122_SY727 @ SV5 @ SV36 ) @ ( sK136_SY820 @ SV36 @ SV5 ) ) )
= $false )
| ( ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(703,plain,
! [SV5: $i > $i > $o,SV36: $i > $i > $o] :
( ( ( SV36 @ ( sK122_SY727 @ SV5 @ SV36 ) @ ( sK136_SY820 @ SV36 @ SV5 ) )
= $false )
| ( ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(704,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK113_SY707 @ SV5 @ SV32 ) @ ( sK123_SY811 @ SV32 @ SV5 ) )
= $true )
| ( ( SV32 @ ( sK53_SY704 @ SV5 @ SV32 ) @ ( sK62_SY767 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(705,plain,
! [SV32: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK114_SY707 @ SV5 @ SV32 ) @ ( sK124_SY812 @ SV32 @ SV5 ) )
= $true )
| ( ( SV32 @ ( sK62_SY767 @ SV5 @ SV32 ) @ ( sK73_SY777 @ SV5 @ SV32 ) )
= $true )
| ( ( SV32 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(706,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK125_SY732 @ SV5 @ SV37 ) @ ( sK137_SY821 @ SV37 @ SV5 ) ) )
= $false )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(707,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( SV37 @ ( sK125_SY732 @ SV5 @ SV37 ) @ ( sK137_SY821 @ SV37 @ SV5 ) )
= $false )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(708,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK126_SY732 @ SV5 @ SV37 ) @ ( sK138_SY822 @ SV37 @ SV5 ) ) )
= $false )
| ( ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(709,plain,
! [SV5: $i > $i > $o,SV37: $i > $i > $o] :
( ( ( SV37 @ ( sK126_SY732 @ SV5 @ SV37 ) @ ( sK138_SY822 @ SV37 @ SV5 ) )
= $false )
| ( ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(710,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK115_SY712 @ SV5 @ SV33 ) @ ( sK127_SY813 @ SV33 @ SV5 ) )
= $true )
| ( ( SV33 @ ( sK54_SY709 @ SV5 @ SV33 ) @ ( sK64_SY769 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[682]) ).
thf(711,plain,
! [SV33: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK116_SY712 @ SV5 @ SV33 ) @ ( sK128_SY814 @ SV33 @ SV5 ) )
= $true )
| ( ( SV33 @ ( sK64_SY769 @ SV5 @ SV33 ) @ ( sK75_SY780 @ SV5 @ SV33 ) )
= $true )
| ( ( SV33 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(712,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(713,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( ~ ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(714,plain,
! [SV43: $i > $i > $o,SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK129_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK139_SY823 @ SV43 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 ) ) )
= $false )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $false )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(715,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( SV43 @ ( sK129_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK139_SY823 @ SV43 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 ) )
= $false )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $false )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(716,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(717,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( ~ ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(718,plain,
! [SV44: $i > $i > $o,SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK130_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK140_SY824 @ SV44 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 ) ) )
= $false )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $false )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(719,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( SV44 @ ( sK130_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK140_SY824 @ SV44 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 ) )
= $false )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $false )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(720,plain,
! [SV34: $i > $i > $o,SV2: $i,SV1: $i,SV7: $i,SV11: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK117_SY717 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK131_SY815 @ SV34 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 ) )
= $true )
| ( ( SV34 @ ( sK59_SY714 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(721,plain,
! [SV34: $i > $i > $o,SV3: $i,SV11: $i,SV7: $i,SV1: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK118_SY717 @ SV2 @ SV1 @ SV7 @ SV11 @ SV3 @ SV34 ) @ ( sK132_SY816 @ SV34 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 ) )
= $true )
| ( ( SV34 @ ( sK66_SY771 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) @ ( sK78_SY782 @ SV3 @ SV11 @ SV7 @ SV1 @ SV2 @ SV34 ) )
= $true )
| ( ( SV34 @ SV3 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(722,plain,
! [SV35: $i > $i > $o,SV3: $i,SV1: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK119_SY722 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK133_SY817 @ SV35 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 ) )
= $true )
| ( ( SV35 @ ( sK60_SY719 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(723,plain,
! [SV35: $i > $i > $o,SV2: $i,SV11: $i,SV7: $i,SV1: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK120_SY722 @ SV3 @ SV1 @ SV7 @ SV11 @ SV2 @ SV35 ) @ ( sK134_SY818 @ SV35 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 ) )
= $true )
| ( ( SV35 @ ( sK67_SY773 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) @ ( sK79_SY783 @ SV2 @ SV11 @ SV7 @ SV1 @ SV3 @ SV35 ) )
= $true )
| ( ( SV35 @ SV2 @ ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK15_SY512 @ SV11 @ SV7 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV7 @ SV11 )
= $true )
| ( ( sK1_SY0 @ SV7 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(724,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK121_SY727 @ SV5 @ SV36 ) @ ( sK135_SY819 @ SV36 @ SV5 ) )
= $true )
| ( ( SV36 @ ( sK61_SY724 @ SV5 @ SV36 ) @ ( sK72_SY775 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(725,plain,
! [SV36: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK122_SY727 @ SV5 @ SV36 ) @ ( sK136_SY820 @ SV36 @ SV5 ) )
= $true )
| ( ( SV36 @ ( sK72_SY775 @ SV5 @ SV36 ) @ ( sK84_SY788 @ SV5 @ SV36 ) )
= $true )
| ( ( SV36 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK8_SY562 @ SV5 ) @ ( sK10_SY601 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK16_SY565 @ SV5 ) @ ( sK20_SY662 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(726,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK125_SY732 @ SV5 @ SV37 ) @ ( sK137_SY821 @ SV37 @ SV5 ) )
= $true )
| ( ( SV37 @ ( sK63_SY729 @ SV5 @ SV37 ) @ ( sK74_SY778 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[706]) ).
thf(727,plain,
! [SV37: $i > $i > $o,SV5: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK126_SY732 @ SV5 @ SV37 ) @ ( sK138_SY822 @ SV37 @ SV5 ) )
= $true )
| ( ( SV37 @ ( sK74_SY778 @ SV5 @ SV37 ) @ ( sK85_SY789 @ SV5 @ SV37 ) )
= $true )
| ( ( SV37 @ sK2_SX0 @ sK3_SY480 )
= $true )
| ( ( sK2_SX0 = sK3_SY480 )
= $true )
| ( ( sK3_SY480 = sK2_SX0 )
= $true )
| ( ( SV5 @ sK3_SY480 @ sK2_SX0 )
= $true )
| ( ( SV5 @ ( sK10_SY601 @ SV5 ) @ ( sK11_SY608 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SY565 @ SV5 ) @ ( sK21_SY663 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(728,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $false )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(729,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( ! [SY760: $i,SY761: $i] :
( ~ ( sK1_SY0 @ SY760 @ SY761 )
| ( SV43 @ SY760 @ SY761 ) ) )
= $false )
| ( ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(730,plain,
! [SV43: $i > $i > $o,SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK129_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK139_SY823 @ SV43 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 ) )
= $true )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $false )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(731,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $false )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(732,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( ! [SY765: $i,SY766: $i] :
( ~ ( sK1_SY0 @ SY765 @ SY766 )
| ( SV44 @ SY765 @ SY766 ) ) )
= $false )
| ( ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(733,plain,
! [SV44: $i > $i > $o,SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK130_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK140_SY824 @ SV44 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 ) )
= $true )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $false )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(734,plain,
! [SV43: $i > $i > $o,SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ! [SY825: $i] :
( ~ ( sK1_SY0 @ ( sK141_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ SY825 )
| ( SV43 @ ( sK141_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ SY825 ) ) )
= $false )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[728]) ).
thf(735,plain,
! [SV43: $i > $i > $o,SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i] :
( ( ( ! [SY826: $i] :
( ~ ( sK1_SY0 @ ( sK142_SY760 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ SY826 )
| ( SV43 @ ( sK142_SY760 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ SY826 ) ) )
= $false )
| ( ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[729]) ).
thf(736,plain,
! [SV44: $i > $i > $o,SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( ! [SY827: $i] :
( ~ ( sK1_SY0 @ ( sK143_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ SY827 )
| ( SV44 @ ( sK143_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ SY827 ) ) )
= $false )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[731]) ).
thf(737,plain,
! [SV44: $i > $i > $o,SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i] :
( ( ( ! [SY828: $i] :
( ~ ( sK1_SY0 @ ( sK144_SY765 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ SY828 )
| ( SV44 @ ( sK144_SY765 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ SY828 ) ) )
= $false )
| ( ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[732]) ).
thf(738,plain,
! [SV43: $i > $i > $o,SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK141_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK145_SY825 @ SV43 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 ) )
| ( SV43 @ ( sK141_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK145_SY825 @ SV43 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 ) ) )
= $false )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[734]) ).
thf(739,plain,
! [SV43: $i > $i > $o,SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK142_SY760 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK146_SY826 @ SV43 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 ) )
| ( SV43 @ ( sK142_SY760 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK146_SY826 @ SV43 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[735]) ).
thf(740,plain,
! [SV44: $i > $i > $o,SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK143_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK147_SY827 @ SV44 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 ) )
| ( SV44 @ ( sK143_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK147_SY827 @ SV44 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 ) ) )
= $false )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[736]) ).
thf(741,plain,
! [SV44: $i > $i > $o,SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK144_SY765 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK148_SY828 @ SV44 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 ) )
| ( SV44 @ ( sK144_SY765 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK148_SY828 @ SV44 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[737]) ).
thf(742,plain,
! [SV43: $i > $i > $o,SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK141_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK145_SY825 @ SV43 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 ) ) )
= $false )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(743,plain,
! [SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i,SV43: $i > $i > $o] :
( ( ( SV43 @ ( sK141_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK145_SY825 @ SV43 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 ) )
= $false )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(744,plain,
! [SV43: $i > $i > $o,SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK142_SY760 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK146_SY826 @ SV43 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(745,plain,
! [SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i,SV43: $i > $i > $o] :
( ( ( SV43 @ ( sK142_SY760 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK146_SY826 @ SV43 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 ) )
= $false )
| ( ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(746,plain,
! [SV44: $i > $i > $o,SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK143_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK147_SY827 @ SV44 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 ) ) )
= $false )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(747,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i,SV44: $i > $i > $o] :
( ( ( SV44 @ ( sK143_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK147_SY827 @ SV44 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 ) )
= $false )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(748,plain,
! [SV44: $i > $i > $o,SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK144_SY765 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK148_SY828 @ SV44 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(749,plain,
! [SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i,SV44: $i > $i > $o] :
( ( ( SV44 @ ( sK144_SY765 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK148_SY828 @ SV44 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 ) )
= $false )
| ( ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(750,plain,
! [SV43: $i > $i > $o,SV2: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK141_SY760 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK145_SY825 @ SV43 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 ) )
= $true )
| ( ( SV43 @ ( sK91_SY757 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(751,plain,
! [SV43: $i > $i > $o,SV3: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK142_SY760 @ SV2 @ SV1 @ SV6 @ SV14 @ SV10 @ SV3 @ SV43 ) @ ( sK146_SY826 @ SV43 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 ) )
= $true )
| ( ( SV43 @ ( sK103_SY799 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) @ ( sK111_SY809 @ SV3 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV43 ) )
= $true )
| ( ( SV43 @ SV3 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(752,plain,
! [SV44: $i > $i > $o,SV3: $i,SV1: $i,SV6: $i,SV14: $i,SV10: $i,SV2: $i] :
( ( ( sK1_SY0 @ ( sK143_SY765 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK147_SY827 @ SV44 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 ) )
= $true )
| ( ( SV44 @ ( sK92_SY762 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[746]) ).
thf(753,plain,
! [SV44: $i > $i > $o,SV2: $i,SV10: $i,SV14: $i,SV6: $i,SV1: $i,SV3: $i] :
( ( ( sK1_SY0 @ ( sK144_SY765 @ SV3 @ SV1 @ SV6 @ SV14 @ SV10 @ SV2 @ SV44 ) @ ( sK148_SY828 @ SV44 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 ) )
= $true )
| ( ( SV44 @ ( sK104_SY801 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) @ ( sK112_SY810 @ SV2 @ SV10 @ SV14 @ SV6 @ SV1 @ SV3 @ SV44 ) )
= $true )
| ( ( SV44 @ SV2 @ ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( SV2
= ( sK29_SY512 @ SV10 @ SV14 @ SV6 @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV14 )
= $true )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV6 @ SV10 )
= $false )
| ( ( sK4_SY461 @ SV3 @ SV2 @ SV1 @ SV10 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(754,plain,
! [SV4: $i] :
( ( ( sK2_SX0 = SV4 )
= $false )
| ( ( ( sK3_SY480 = SV4 )
= ( sK2_SX0 = SV4 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[55]) ).
thf(755,plain,
! [SV4: $i] :
( ( ( sK2_SX0 = SV4 )
= $false )
| ( ( ( sK9_SY556 @ SV4 @ sK3_SY480 @ SV4 )
= ( sK2_SX0 = SV4 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[73]) ).
thf(756,plain,
! [SV4: $i] :
( ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false )
| ( ( ( sK3_SY480 = SV4 )
= ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[75]) ).
thf(757,plain,
! [SV4: $i] :
( ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false )
| ( ( ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 )
= ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[99]) ).
thf(758,plain,
! [SV4: $i] :
( ( ( ~ ( ( sK3_SY480 = SV4 )
| ( sK2_SX0 = SV4 ) )
| ~ ( ( sK3_SY480 != SV4 )
| ( sK2_SX0 != SV4 ) ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[754]) ).
thf(759,plain,
! [SV4: $i] :
( ( ( ( sK3_SY480 = SV4 )
= ( sK2_SX0 = SV4 ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[754]) ).
thf(760,plain,
! [SV4: $i] :
( ( ( ~ ( ( sK9_SY556 @ SV4 @ sK3_SY480 @ SV4 )
| ( sK2_SX0 = SV4 ) )
| ~ ( ~ ( sK9_SY556 @ SV4 @ sK3_SY480 @ SV4 )
| ( sK2_SX0 != SV4 ) ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[755]) ).
thf(762,plain,
! [SV4: $i] :
( ( ( ~ ( ( sK3_SY480 = SV4 )
| ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
| ~ ( ( sK3_SY480 != SV4 )
| ~ ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[756]) ).
thf(764,plain,
! [SV4: $i] :
( ( ( ~ ( ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 )
| ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
| ~ ( ~ ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 )
| ~ ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[757]) ).
thf(767,plain,
! [SV4: $i] :
( ( ( ~ ( ( sK3_SY480 != SV4 )
| ( sK2_SX0 != SV4 ) ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(769,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( sK9_SY556 @ SV4 @ sK3_SY480 @ SV4 )
| ( sK2_SX0 != SV4 ) ) )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(771,plain,
! [SV4: $i] :
( ( ( ~ ( ( sK3_SY480 != SV4 )
| ~ ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(773,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 )
| ~ ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) ) )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(775,plain,
! [SV4: $i] :
( ( ( ( sK3_SY480 != SV4 )
| ( sK2_SX0 != SV4 ) )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[767]) ).
thf(777,plain,
! [SV4: $i] :
( ( ( ~ ( sK9_SY556 @ SV4 @ sK3_SY480 @ SV4 )
| ( sK2_SX0 != SV4 ) )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(779,plain,
! [SV4: $i] :
( ( ( ( sK3_SY480 != SV4 )
| ~ ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(781,plain,
! [SV4: $i] :
( ( ( ~ ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 )
| ~ ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(783,plain,
! [SV4: $i] :
( ( ( sK3_SY480 != SV4 )
= $true )
| ( ( sK2_SX0 != SV4 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(785,plain,
! [SV4: $i] :
( ( ( ~ ( sK9_SY556 @ SV4 @ sK3_SY480 @ SV4 ) )
= $true )
| ( ( sK2_SX0 != SV4 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(787,plain,
! [SV4: $i] :
( ( ( sK3_SY480 != SV4 )
= $true )
| ( ( ~ ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(789,plain,
! [SV4: $i] :
( ( ( ~ ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 ) )
= $true )
| ( ( ~ ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(790,plain,
! [SV4: $i] :
( ( ( sK3_SY480 = SV4 )
= $false )
| ( ( sK2_SX0 != SV4 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(791,plain,
! [SV4: $i] :
( ( ( sK9_SY556 @ SV4 @ sK3_SY480 @ SV4 )
= $false )
| ( ( sK2_SX0 != SV4 )
= $true )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(792,plain,
! [SV4: $i] :
( ( ( sK3_SY480 = SV4 )
= $false )
| ( ( ~ ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(793,plain,
! [SV4: $i] :
( ( ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 )
= $false )
| ( ( ~ ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 ) )
= $true )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(794,plain,
! [SV4: $i] :
( ( ( sK2_SX0 = SV4 )
= $false )
| ( ( sK3_SY480 = SV4 )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(795,plain,
! [SV4: $i] :
( ( ( sK2_SX0 = SV4 )
= $false )
| ( ( sK9_SY556 @ SV4 @ sK3_SY480 @ SV4 )
= $false )
| ( ( sK2_SX0 = SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(796,plain,
! [SV4: $i] :
( ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false )
| ( ( sK3_SY480 = SV4 )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(797,plain,
! [SV4: $i] :
( ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false )
| ( ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 )
= $false )
| ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(799,plain,
( ( sK3_SY480 = sK2_SX0 )
= $false ),
inference(extuni,[status(esa)],[794:[bind(SV4,$thf( sK2_SX0 ))]]) ).
thf(800,plain,
( ( sK3_SY480 = sK2_SX0 )
= $false ),
inference(extuni,[status(esa)],[759:[bind(SV4,$thf( sK2_SX0 ))]]) ).
thf(801,plain,
( ( sK3_SY480 = sK2_SX0 )
= $false ),
inference(extuni,[status(esa)],[759:[bind(SV4,$thf( sK2_SX0 ))]]) ).
thf(803,plain,
( ( sK9_SY556 @ sK2_SX0 @ sK3_SY480 @ sK2_SX0 )
= $false ),
inference(extuni,[status(esa)],[795:[bind(SV4,$thf( sK2_SX0 ))]]) ).
thf(804,plain,
( ( ( sK6_SY550 @ sK3_SY480 @ sK2_SX0 @ sK3_SY480 )
= $false )
| ( ( sK6_SY550 @ sK3_SY480 @ sK2_SX0 @ sK3_SY480 )
= $false ) ),
inference(extuni,[status(esa)],[796:[bind(SV4,$thf( sK3_SY480 ))]]) ).
thf(805,plain,
( ( sK2_SX0 = sK3_SY480 )
= $false ),
inference(extuni,[status(esa)],[55:[bind(SV4,$thf( sK3_SY480 ))]]) ).
thf(806,plain,
( ( sK9_SY556 @ sK2_SX0 @ sK3_SY480 @ sK2_SX0 )
= $false ),
inference(extuni,[status(esa)],[73:[bind(SV4,$thf( sK2_SX0 ))]]) ).
thf(807,plain,
( ( sK6_SY550 @ sK3_SY480 @ sK2_SX0 @ sK3_SY480 )
= $false ),
inference(extuni,[status(esa)],[75:[bind(SV4,$thf( sK3_SY480 ))]]) ).
thf(808,plain,
! [SV23: $i,SV20: $i] :
( ( ( sK9_SY556 @ sK2_SX0 @ SV20 @ SV23 )
= $true )
| ( ( sK1_SY0 @ SV20 @ SV23 )
= $false ) ),
inference(extuni,[status(esa)],[184:[bind(SV4,$thf( sK2_SX0 ))]]) ).
thf(809,plain,
! [SV16: $i,SV13: $i] :
( ( ( sK1_SY0 @ SV13 @ SV16 )
= $false )
| ( ( sK6_SY550 @ sK3_SY480 @ SV13 @ SV16 )
= $true ) ),
inference(extuni,[status(esa)],[186:[bind(SV4,$thf( sK3_SY480 ))]]) ).
thf(810,plain,
! [SV22: $i,SV24: $i,SV19: $i] :
( ( ( sK9_SY556 @ sK2_SX0 @ SV19 @ SV24 )
= $true )
| ( ( sK9_SY556 @ sK2_SX0 @ SV19 @ SV22 )
= $false )
| ( ( sK9_SY556 @ sK2_SX0 @ SV22 @ SV24 )
= $false ) ),
inference(extuni,[status(esa)],[275:[bind(SV4,$thf( sK2_SX0 ))]]) ).
thf(811,plain,
! [SV12: $i,SV21: $i,SV15: $i] :
( ( ( sK6_SY550 @ sK3_SY480 @ SV15 @ SV21 )
= $false )
| ( ( sK6_SY550 @ sK3_SY480 @ SV12 @ SV15 )
= $false )
| ( ( sK6_SY550 @ sK3_SY480 @ SV12 @ SV21 )
= $true ) ),
inference(extuni,[status(esa)],[276:[bind(SV4,$thf( sK3_SY480 ))]]) ).
thf(812,plain,
! [SV8: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV3
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV2 @ SV3 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV2 @ SV2 @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK34_SY620 @ SV3 @ SV2 @ SV2 @ SV8 ) @ ( sK38_SY734 @ SV8 @ SV2 @ SV2 @ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[330:[bind(SV1,$thf( SV2 ))]]) ).
thf(813,plain,
! [SV9: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV2
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV2 @ SV2 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV2 @ SV3 @ SV9 ) )
= $false )
| ( ( SV9 @ ( sK35_SY625 @ SV2 @ SV2 @ SV3 @ SV9 ) @ ( sK39_SY735 @ SV9 @ SV3 @ SV2 @ SV2 ) )
= $false ) ),
inference(extuni,[status(esa)],[334:[bind(SV1,$thf( SV2 ))]]) ).
thf(814,plain,
! [SV8: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV3
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV2 @ SV3 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV2 @ SV2 @ SV8 ) )
= $false )
| ( ( sK1_SY0 @ ( sK34_SY620 @ SV3 @ SV2 @ SV2 @ SV8 ) @ ( sK38_SY734 @ SV8 @ SV2 @ SV2 @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[354:[bind(SV1,$thf( SV2 ))]]) ).
thf(815,plain,
! [SV9: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV2
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV2 @ SV2 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV2 @ SV3 @ SV9 ) )
= $false )
| ( ( sK1_SY0 @ ( sK35_SY625 @ SV2 @ SV2 @ SV3 @ SV9 ) @ ( sK39_SY735 @ SV9 @ SV3 @ SV2 @ SV2 ) )
= $true ) ),
inference(extuni,[status(esa)],[357:[bind(SV1,$thf( SV2 ))]]) ).
thf(816,plain,
! [SV8: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV3
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV2 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV2 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK49_SY620 @ SV3 @ SV2 @ SV2 @ SV8 ) @ ( sK55_SY753 @ SV8 @ SV2 @ SV2 @ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[432:[bind(SV1,$thf( SV2 ))]]) ).
thf(817,plain,
! [SV8: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV3
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ ( sK23_SY670 @ SV3 @ SV2 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV2 @ SV2 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK50_SY620 @ SV2 @ SV2 @ SV3 @ SV8 ) @ ( sK56_SY754 @ SV8 @ SV3 @ SV2 @ SV2 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1,$thf( SV2 ))]]) ).
thf(818,plain,
! [SV9: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV2
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV2 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV2 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ ( sK51_SY625 @ SV2 @ SV2 @ SV3 @ SV9 ) @ ( sK57_SY755 @ SV9 @ SV3 @ SV2 @ SV2 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1,$thf( SV2 ))]]) ).
thf(819,plain,
! [SV9: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV2
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ ( sK24_SY672 @ SV2 @ SV2 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV2 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9 @ ( sK52_SY625 @ SV3 @ SV2 @ SV2 @ SV9 ) @ ( sK58_SY756 @ SV9 @ SV2 @ SV2 @ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1,$thf( SV2 ))]]) ).
thf(820,plain,
! [SV8: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV3
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ ( sK18_SY617 @ SV2 @ SV2 @ SV3 @ SV8 ) @ ( sK23_SY670 @ SV3 @ SV2 @ SV2 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK49_SY620 @ SV3 @ SV2 @ SV2 @ SV8 ) @ ( sK55_SY753 @ SV8 @ SV2 @ SV2 @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[459:[bind(SV1,$thf( SV2 ))]]) ).
thf(821,plain,
! [SV8: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV3
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ SV3 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV8 @ ( sK23_SY670 @ SV3 @ SV2 @ SV2 @ SV8 ) @ ( sK25_SY684 @ SV3 @ SV2 @ SV2 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK50_SY620 @ SV2 @ SV2 @ SV3 @ SV8 ) @ ( sK56_SY754 @ SV8 @ SV3 @ SV2 @ SV2 ) )
= $true ) ),
inference(extuni,[status(esa)],[460:[bind(SV1,$thf( SV2 ))]]) ).
thf(822,plain,
! [SV9: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV2
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ ( sK19_SY622 @ SV3 @ SV2 @ SV2 @ SV9 ) @ ( sK24_SY672 @ SV2 @ SV2 @ SV3 @ SV9 ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_SY625 @ SV2 @ SV2 @ SV3 @ SV9 ) @ ( sK57_SY755 @ SV9 @ SV3 @ SV2 @ SV2 ) )
= $true ) ),
inference(extuni,[status(esa)],[461:[bind(SV1,$thf( SV2 ))]]) ).
thf(823,plain,
! [SV9: $i > $i > $o,SV3: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV3 )
= $false )
| ( ( SV2
= ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ SV2 @ ( sK5_SY512 @ SV2 @ SV2 @ SV3 ) )
= $true )
| ( ( SV9 @ ( sK24_SY672 @ SV2 @ SV2 @ SV3 @ SV9 ) @ ( sK26_SY685 @ SV2 @ SV2 @ SV3 @ SV9 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_SY625 @ SV3 @ SV2 @ SV2 @ SV9 ) @ ( sK58_SY756 @ SV9 @ SV2 @ SV2 @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[462:[bind(SV1,$thf( SV2 ))]]) ).
thf(824,plain,
( ( sK6_SY550 @ sK3_SY480 @ sK2_SX0 @ sK3_SY480 )
= $false ),
inference(sim,[status(thm)],[804]) ).
thf(825,plain,
! [SV4: $i] :
( ( ( sK6_SY550 @ SV4 @ sK2_SX0 @ SV4 )
= $false )
| ( ( sK12_SY556 @ SV4 @ sK3_SY480 @ SV4 )
= $false ) ),
inference(sim,[status(thm)],[797]) ).
thf(826,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[55,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,803,801,800,799,753,752,751,750,749,747,745,743,733,730,727,726,725,724,723,722,721,720,719,715,711,710,709,707,705,704,703,701,699,697,695,693,685,683,679,677,665,647,646,643,638,635,632,624,623,622,620,618,615,611,608,604,600,593,591,587,580,544,543,539,528,527,526,525,515,512,500,498,496,494,483,462,461,460,459,438,436,434,432,419,416,405,393,389,357,354,334,330,326,323,276,275,223,221,186,184,99,75,73]) ).
thf(827,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[826]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU490^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n020.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Oct 6 15:27:18 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 242.35/40.93
% 242.35/40.93 No.of.Axioms: 0
% 242.35/40.93
% 242.35/40.93 Length.of.Defs: 5096
% 242.35/40.93
% 242.35/40.93 Contains.Choice.Funs: false
% 242.35/40.93 ..............................eprover: CPU time limit exceeded, terminating
% 242.35/40.93 ............
% 242.35/40.93
% 242.35/40.93 ********************************
% 242.35/40.93 * All subproblems solved! *
% 242.35/40.93 ********************************
% 242.35/40.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:1,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:826,loop_count:0,foatp_calls:2,translation:fof_full)
% 242.35/40.93
% 242.35/40.93 %**** Beginning of derivation protocol ****
% 242.35/40.93 % SZS output start CNFRefutation
% See solution above
% 242.35/40.94
% 242.35/40.94 %**** End of derivation protocol ****
% 242.35/40.94 %**** no. of clauses in derivation: 810 ****
% 242.35/40.94 %**** clause counter: 826 ****
% 242.35/40.94
% 242.35/40.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:1,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:826,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------