%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU482^1 : TPTP v9.3.1. Bugfixed v3.7.0.
% 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 : n008.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 10:44:34 AM UTC 2026
% Result : Theorem 191.01s 32.11s
% Output : CNFRefutation 191.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 31
% Syntax : Number of formulae : 346 ( 55 unt; 0 typ; 29 def)
% Number of atoms : 3641 (2006 equ; 0 cnn)
% Maximal formula atoms : 7 ( 10 avg)
% Number of connectives : 10806 (1488 ~;1301 |; 24 &;7957 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 874 ( 874 >; 0 *; 0 +; 0 <<)
% Number of symbols : 164 ( 161 usr; 24 con; 0-7 aty)
% Number of variables : 2990 (1290 ^;1677 !; 23 ?;2990 :)
% 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_E,type,
sK100_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK101_E,type,
sK101_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK102_E,type,
sK102_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK103_E,type,
sK103_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK104_E,type,
sK104_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK105_E,type,
sK105_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK106_E,type,
sK106_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK107_E,type,
sK107_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK108_E,type,
sK108_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK109_E,type,
sK109_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK10_SY110,type,
sK10_SY110: $i > $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK110_E,type,
sK110_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK111_E,type,
sK111_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK112_E,type,
sK112_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK113_E,type,
sK113_E: $i ).
thf(tp_sK114_E,type,
sK114_E: $i ).
thf(tp_sK115_E,type,
sK115_E: $i ).
thf(tp_sK116_E,type,
sK116_E: $i ).
thf(tp_sK117_E,type,
sK117_E: $i ).
thf(tp_sK118_E,type,
sK118_E: $i ).
thf(tp_sK119_E,type,
sK119_E: $i ).
thf(tp_sK11_SY129,type,
sK11_SY129: $i > $i > $i > $i > ( $i > $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK120_E,type,
sK120_E: $i ).
thf(tp_sK121_E,type,
sK121_E: $i ).
thf(tp_sK122_E,type,
sK122_E: $i ).
thf(tp_sK123_E,type,
sK123_E: $i ).
thf(tp_sK124_E,type,
sK124_E: $i ).
thf(tp_sK125_E,type,
sK125_E: $i ).
thf(tp_sK126_E,type,
sK126_E: $i ).
thf(tp_sK127_E,type,
sK127_E: $i ).
thf(tp_sK128_E,type,
sK128_E: $i ).
thf(tp_sK129_E,type,
sK129_E: $i ).
thf(tp_sK12_SY132,type,
sK12_SY132: $i > $i > $i > $i > $i > ( $i > $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK130_E,type,
sK130_E: $i ).
thf(tp_sK131_E,type,
sK131_E: $i ).
thf(tp_sK132_E,type,
sK132_E: $i ).
thf(tp_sK13_E,type,
sK13_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK14_E,type,
sK14_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK15_E,type,
sK15_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK16_E,type,
sK16_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK17_E,type,
sK17_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK18_E,type,
sK18_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK19_E,type,
sK19_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_E,type,
sK20_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK21_E,type,
sK21_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK22_E,type,
sK22_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK23_E,type,
sK23_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK24_E,type,
sK24_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK25_E,type,
sK25_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK26_E,type,
sK26_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK27_E,type,
sK27_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK28_E,type,
sK28_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK29_E,type,
sK29_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK2_SY82,type,
sK2_SY82: ( $i > $i > $o ) > $i ).
thf(tp_sK30_E,type,
sK30_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK31_E,type,
sK31_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK32_E,type,
sK32_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK33_E,type,
sK33_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK34_E,type,
sK34_E: ( $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK35_E,type,
sK35_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK36_E,type,
sK36_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK37_E,type,
sK37_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK38_E,type,
sK38_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK39_E,type,
sK39_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK3_SY95,type,
sK3_SY95: $i ).
thf(tp_sK40_E,type,
sK40_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK41_E,type,
sK41_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK42_E,type,
sK42_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK43_E,type,
sK43_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK44_E,type,
sK44_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK45_E,type,
sK45_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK46_E,type,
sK46_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK47_E,type,
sK47_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK48_E,type,
sK48_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK49_E,type,
sK49_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK4_SY104,type,
sK4_SY104: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_sK50_E,type,
sK50_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK51_E,type,
sK51_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK52_E,type,
sK52_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK53_E,type,
sK53_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK54_E,type,
sK54_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK55_E,type,
sK55_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK56_E,type,
sK56_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK57_E,type,
sK57_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK58_E,type,
sK58_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK59_E,type,
sK59_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK5_SY110,type,
sK5_SY110: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK60_E,type,
sK60_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK61_E,type,
sK61_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK62_E,type,
sK62_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK63_E,type,
sK63_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK64_E,type,
sK64_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK65_E,type,
sK65_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK66_E,type,
sK66_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK67_E,type,
sK67_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK68_E,type,
sK68_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK69_E,type,
sK69_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK6_SY110,type,
sK6_SY110: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK70_E,type,
sK70_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK71_E,type,
sK71_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK72_E,type,
sK72_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK73_E,type,
sK73_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK74_E,type,
sK74_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK75_E,type,
sK75_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK76_E,type,
sK76_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK77_E,type,
sK77_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK78_E,type,
sK78_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK79_E,type,
sK79_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK7_SY117,type,
sK7_SY117: $i > $i > ( $i > $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK80_E,type,
sK80_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK81_E,type,
sK81_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK82_E,type,
sK82_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK83_E,type,
sK83_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK84_E,type,
sK84_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK85_E,type,
sK85_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK86_E,type,
sK86_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK87_E,type,
sK87_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK88_E,type,
sK88_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK89_E,type,
sK89_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK8_SY110,type,
sK8_SY110: $i > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK90_E,type,
sK90_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK91_E,type,
sK91_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK92_E,type,
sK92_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK93_E,type,
sK93_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK94_E,type,
sK94_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK95_E,type,
sK95_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK96_E,type,
sK96_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK97_E,type,
sK97_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK98_E,type,
sK98_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK99_E,type,
sK99_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK9_SY124,type,
sK9_SY124: $i > $i > ( $i > $i > $o ) > ( $i > $o ) > $i ).
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,axiom,
? [Y: $i,Z: $i] : ( Y != Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_individuals) ).
thf(2,conjecture,
~ ! [R: $i > $i > $o] :
( ( norm @ R )
=> ( term @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normalizing_does_not_imply_terminating) ).
thf(3,negated_conjecture,
( ( ~ ! [R: $i > $i > $o] :
( ( norm @ R )
=> ( term @ R ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ~ ! [SY0: $i > $i > $o] :
( ! [SY1: $i] :
? [SY2: $i] :
( ( ( SY1 = SY2 )
| ! [SY55: $i > $i > $o] :
( ( ! [SY8: $i,SY9: $i,SY10: $i] :
( ( ( SY55 @ SY8 @ SY9 )
& ( SY55 @ SY9 @ SY10 ) )
=> ( SY55 @ SY8 @ SY10 ) )
& ! [SY14: $i,SY15: $i] :
( ( SY0 @ SY14 @ SY15 )
=> ( SY55 @ SY14 @ SY15 ) ) )
=> ( SY55 @ SY1 @ SY2 ) ) )
& ~ ? [SY54: $i] : ( SY0 @ SY2 @ SY54 ) )
=> ! [SY62: $i > $o] :
( ? [X: $i] : ( SY62 @ X )
=> ? [SY64: $i] :
( ( SY62 @ SY64 )
& ! [SY65: $i] :
( ( SY62 @ SY65 )
=> ~ ( SY0 @ SY64 @ SY65 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3,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(5,plain,
( ( ? [Y: $i,Z: $i] : ( Y != Z ) )
= $true ),
inference(unfold_def,[status(thm)],[1,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(6,plain,
( ( ! [SY0: $i > $i > $o] :
( ! [SY1: $i] :
? [SY2: $i] :
( ( ( SY1 = SY2 )
| ! [SY55: $i > $i > $o] :
( ( ! [SY8: $i,SY9: $i,SY10: $i] :
( ( ( SY55 @ SY8 @ SY9 )
& ( SY55 @ SY9 @ SY10 ) )
=> ( SY55 @ SY8 @ SY10 ) )
& ! [SY14: $i,SY15: $i] :
( ( SY0 @ SY14 @ SY15 )
=> ( SY55 @ SY14 @ SY15 ) ) )
=> ( SY55 @ SY1 @ SY2 ) ) )
& ~ ? [SY54: $i] : ( SY0 @ SY2 @ SY54 ) )
=> ! [SY62: $i > $o] :
( ? [X: $i] : ( SY62 @ X )
=> ? [SY64: $i] :
( ( SY62 @ SY64 )
& ! [SY65: $i] :
( ( SY62 @ SY65 )
=> ~ ( SY0 @ SY64 @ SY65 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ? [Y: $i,Z: $i] : ( Y != Z ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY0: $i > $i > $o] :
( ! [SY1: $i] :
? [SY2: $i] :
( ( ( SY1 = SY2 )
| ! [SY55: $i > $i > $o] :
( ( ! [SY8: $i,SY9: $i,SY10: $i] :
( ( ( SY55 @ SY8 @ SY9 )
& ( SY55 @ SY9 @ SY10 ) )
=> ( SY55 @ SY8 @ SY10 ) )
& ! [SY14: $i,SY15: $i] :
( ( SY0 @ SY14 @ SY15 )
=> ( SY55 @ SY14 @ SY15 ) ) )
=> ( SY55 @ SY1 @ SY2 ) ) )
& ~ ? [SY54: $i] : ( SY0 @ SY2 @ SY54 ) )
=> ! [SY62: $i > $o] :
( ? [X: $i] : ( SY62 @ X )
=> ? [SY64: $i] :
( ( SY62 @ SY64 )
& ! [SY65: $i] :
( ( SY62 @ SY65 )
=> ~ ( SY0 @ SY64 @ SY65 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ( ( 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] :
( ~ ( SX0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX1 @ SX2 ) ) )
| ~ ~ ~ ! [SX3: $i] :
~ ( SX0 @ SX2 @ SX3 ) )
| ! [SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SX1 @ SX2 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SX1 @ SX3 )
| ~ ( SX0 @ SX2 @ 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(10,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,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,
! [SV1: $i > $i > $o] :
( ( ~ ! [SY82: $i] :
~ ! [SY83: $i] :
~ ~ ( ~ ( ( SY82 = SY83 )
| ! [SY84: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY84 @ SX4 @ SX5 )
| ~ ( SY84 @ SX5 @ SX6 ) )
| ( SY84 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY84 @ SY88 @ SY89 ) ) )
| ( SY84 @ SY82 @ SY83 ) ) )
| ~ ~ ~ ! [SY90: $i] :
~ ( SV1 @ SY83 @ SY90 ) )
| ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ! [SY82: $i] :
~ ! [SY83: $i] :
~ ~ ( ~ ( ( SY82 = SY83 )
| ! [SY84: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY84 @ SX4 @ SX5 )
| ~ ( SY84 @ SX5 @ SX6 ) )
| ( SY84 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY84 @ SY88 @ SY89 ) ) )
| ( SY84 @ SY82 @ SY83 ) ) )
| ~ ~ ~ ! [SY90: $i] :
~ ( SV1 @ SY83 @ SY90 ) ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ~ ! [SY95: $i] :
~ ( ( sK1_SX0 != SY95 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[12]) ).
thf(15,plain,
! [SV1: $i > $i > $o] :
( ( ( ! [SY82: $i] :
~ ! [SY83: $i] :
~ ~ ( ~ ( ( SY82 = SY83 )
| ! [SY84: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY84 @ SX4 @ SX5 )
| ~ ( SY84 @ SX5 @ SX6 ) )
| ( SY84 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY84 @ SY88 @ SY89 ) ) )
| ( SY84 @ SY82 @ SY83 ) ) )
| ~ ~ ~ ! [SY90: $i] :
~ ( SV1 @ SY83 @ SY90 ) ) )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ! [SY95: $i] :
~ ( ( sK1_SX0 != SY95 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ! [SY96: $i] :
~ ~ ( ~ ( ( ( sK2_SY82 @ SV1 )
= SY96 )
| ! [SY97: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY97 @ SX4 @ SX5 )
| ~ ( SY97 @ SX5 @ SX6 ) )
| ( SY97 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY97 @ SY88 @ SY89 ) ) )
| ( SY97 @ ( sK2_SY82 @ SV1 ) @ SY96 ) ) )
| ~ ~ ~ ! [SY90: $i] :
~ ( SV1 @ SY96 @ SY90 ) ) )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(18,plain,
( ( ! [SY95: $i] :
~ ( ( sK1_SX0 != SY95 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV1: $i > $i > $o] :
( ( ( ! [SY96: $i] :
~ ~ ( ~ ( ( ( sK2_SY82 @ SV1 )
= SY96 )
| ! [SY97: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY97 @ SX4 @ SX5 )
| ~ ( SY97 @ SX5 @ SX6 ) )
| ( SY97 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY97 @ SY88 @ SY89 ) ) )
| ( SY97 @ ( sK2_SY82 @ SV1 ) @ SY96 ) ) )
| ~ ~ ~ ! [SY90: $i] :
~ ( SV1 @ SY96 @ SY90 ) ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ( ( sK1_SX0 != sK3_SY95 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(21,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( ( ( sK2_SY82 @ SV1 )
= SV2 )
| ! [SY104: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY104 @ SX4 @ SX5 )
| ~ ( SY104 @ SX5 @ SX6 ) )
| ( SY104 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY104 @ SY88 @ SY89 ) ) )
| ( SY104 @ ( sK2_SY82 @ SV1 ) @ SV2 ) ) )
| ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( sK1_SX0 != sK3_SY95 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(23,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ~ ( ( ( sK2_SY82 @ SV1 )
= SV2 )
| ! [SY104: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY104 @ SX4 @ SX5 )
| ~ ( SY104 @ SX5 @ SX6 ) )
| ( SY104 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY104 @ SY88 @ SY89 ) ) )
| ( SY104 @ ( sK2_SY82 @ SV1 ) @ SV2 ) ) )
| ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) ) )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( sK1_SX0 = sK3_SY95 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( ( sK2_SY82 @ SV1 )
= SV2 )
| ! [SY104: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY104 @ SX4 @ SX5 )
| ~ ( SY104 @ SX5 @ SX6 ) )
| ( SY104 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY104 @ SY88 @ SY89 ) ) )
| ( SY104 @ ( sK2_SY82 @ SV1 ) @ SV2 ) ) )
| ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(26,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( ( sK2_SY82 @ SV1 )
= SV2 )
| ! [SY104: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY104 @ SX4 @ SX5 )
| ~ ( SY104 @ SX5 @ SX6 ) )
| ( SY104 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY104 @ SY88 @ SY89 ) ) )
| ( SY104 @ ( sK2_SY82 @ SV1 ) @ SV2 ) ) ) )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(27,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ( ( sK2_SY82 @ SV1 )
= SV2 )
| ! [SY104: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY104 @ SX4 @ SX5 )
| ~ ( SY104 @ SX5 @ SX6 ) )
| ( SY104 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY104 @ SY88 @ SY89 ) ) )
| ( SY104 @ ( sK2_SY82 @ SV1 ) @ SV2 ) ) )
= $false )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(28,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(29,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ! [SY104: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY104 @ SX4 @ SX5 )
| ~ ( SY104 @ SX5 @ SX6 ) )
| ( SY104 @ SX4 @ SX6 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ~ ( SV1 @ SY88 @ SY89 )
| ( SY104 @ SY88 @ SY89 ) ) )
| ( SY104 @ ( sK2_SY82 @ SV1 ) @ SV2 ) ) )
= $false )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV1: $i > $i > $o,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY111: $i,SY112: $i,SY113: $i] :
( ~ ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY112 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SY112 @ SY113 ) )
| ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY113 ) )
| ~ ! [SY114: $i,SY115: $i] :
( ~ ( SV1 @ SY114 @ SY115 )
| ( sK4_SY104 @ SV2 @ SV1 @ SY114 @ SY115 ) ) )
| ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 ) )
= $false )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(32,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(33,plain,
! [SV1: $i > $i > $o,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY111: $i,SY112: $i,SY113: $i] :
( ~ ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY112 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SY112 @ SY113 ) )
| ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY113 ) )
| ~ ! [SY114: $i,SY115: $i] :
( ~ ( SV1 @ SY114 @ SY115 )
| ( sK4_SY104 @ SV2 @ SV1 @ SY114 @ SY115 ) ) ) )
= $false )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(34,plain,
! [SV1: $i > $i > $o,SV2: $i] :
( ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV1: $i > $i > $o,SV2: $i] :
( ( ( ~ ( ~ ! [SY111: $i,SY112: $i,SY113: $i] :
( ~ ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY112 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SY112 @ SY113 ) )
| ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY113 ) )
| ~ ! [SY114: $i,SY115: $i] :
( ~ ( SV1 @ SY114 @ SY115 )
| ( sK4_SY104 @ SV2 @ SV1 @ SY114 @ SY115 ) ) ) )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[35]) ).
thf(39,plain,
! [SV1: $i > $i > $o,SV2: $i] :
( ( ( ~ ! [SY111: $i,SY112: $i,SY113: $i] :
( ~ ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY112 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SY112 @ SY113 ) )
| ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY113 ) )
| ~ ! [SY114: $i,SY115: $i] :
( ~ ( SV1 @ SY114 @ SY115 )
| ( sK4_SY104 @ SV2 @ SV1 @ SY114 @ SY115 ) ) )
= $false )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(41,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(42,plain,
! [SV1: $i > $i > $o,SV2: $i] :
( ( ( ~ ! [SY111: $i,SY112: $i,SY113: $i] :
( ~ ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY112 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SY112 @ SY113 ) )
| ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY113 ) ) )
= $false )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ! [SY114: $i,SY115: $i] :
( ~ ( SV1 @ SY114 @ SY115 )
| ( sK4_SY104 @ SV2 @ SV1 @ SY114 @ SY115 ) ) )
= $false )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV2: $i,SV1: $i > $i > $o,SV3: $i > $o] :
( ( ( ~ ~ ! [SY116: $i] :
~ ( SV3 @ SY116 )
| ~ ! [SY117: $i] :
~ ~ ( ~ ( SV3 @ SY117 )
| ~ ! [SY118: $i] :
( ~ ( SV3 @ SY118 )
| ~ ( SV1 @ SY117 @ SY118 ) ) ) )
= $true )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV1: $i > $i > $o,SV2: $i] :
( ( ( ! [SY111: $i,SY112: $i,SY113: $i] :
( ~ ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY112 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SY112 @ SY113 ) )
| ( sK4_SY104 @ SV2 @ SV1 @ SY111 @ SY113 ) ) )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(47,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ! [SY114: $i,SY115: $i] :
( ~ ( SV1 @ SY114 @ SY115 )
| ( sK4_SY104 @ SV2 @ SV1 @ SY114 @ SY115 ) ) )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(48,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(49,plain,
! [SV2: $i,SV1: $i > $i > $o,SV3: $i > $o] :
( ( ( ~ ~ ! [SY116: $i] :
~ ( SV3 @ SY116 ) )
= $true )
| ( ( ~ ! [SY117: $i] :
~ ~ ( ~ ( SV3 @ SY117 )
| ~ ! [SY118: $i] :
( ~ ( SV3 @ SY118 )
| ~ ( SV1 @ SY117 @ SY118 ) ) ) )
= $true )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV4: $i,SV1: $i > $i > $o,SV2: $i] :
( ( ( ! [SY119: $i,SY120: $i] :
( ~ ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SY119 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SY119 @ SY120 ) )
| ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SY120 ) ) )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV2: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ! [SY121: $i] :
( ~ ( SV1 @ SV5 @ SY121 )
| ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SY121 ) ) )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV2: $i,SV1: $i > $i > $o,SV3: $i > $o] :
( ( ( ~ ! [SY116: $i] :
~ ( SV3 @ SY116 ) )
= $false )
| ( ( ~ ! [SY117: $i] :
~ ~ ( ~ ( SV3 @ SY117 )
| ~ ! [SY118: $i] :
( ~ ( SV3 @ SY118 )
| ~ ( SV1 @ SY117 @ SY118 ) ) ) )
= $true )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV6: $i,SV4: $i,SV1: $i > $i > $o,SV2: $i] :
( ( ( ! [SY122: $i] :
( ~ ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SY122 ) )
| ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SY122 ) ) )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV7 )
| ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 ) )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV2: $i,SV1: $i > $i > $o,SV8: $i > $o] :
( ( ( ~ ~ ! [SY123: $i] :
~ ( SV8 @ SY123 )
| ~ ! [SY124: $i] :
~ ~ ( ~ ( SV8 @ SY124 )
| ~ ! [SY125: $i] :
( ~ ( SV8 @ SY125 )
| ~ ( SV1 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV2: $i,SV1: $i > $i > $o,SV3: $i > $o] :
( ( ( ! [SY116: $i] :
~ ( SV3 @ SY116 ) )
= $true )
| ( ( ~ ! [SY117: $i] :
~ ~ ( ~ ( SV3 @ SY117 )
| ~ ! [SY118: $i] :
( ~ ( SV3 @ SY118 )
| ~ ( SV1 @ SY117 @ SY118 ) ) ) )
= $true )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV9: $i,SV6: $i,SV4: $i,SV1: $i > $i > $o,SV2: $i] :
( ( ( ~ ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 ) )
| ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 ) )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV7 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV2: $i,SV1: $i > $i > $o,SV8: $i > $o] :
( ( ( ~ ~ ! [SY123: $i] :
~ ( SV8 @ SY123 ) )
= $true )
| ( ( ~ ! [SY124: $i] :
~ ~ ( ~ ( SV8 @ SY124 )
| ~ ! [SY125: $i] :
( ~ ( SV8 @ SY125 )
| ~ ( SV1 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(61,plain,
! [SV2: $i,SV1: $i > $i > $o,SV10: $i,SV3: $i > $o] :
( ( ( ~ ( SV3 @ SV10 ) )
= $true )
| ( ( ~ ! [SY117: $i] :
~ ~ ( ~ ( SV3 @ SY117 )
| ~ ! [SY118: $i] :
( ~ ( SV3 @ SY118 )
| ~ ( SV1 @ SY117 @ SY118 ) ) ) )
= $true )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV9: $i,SV6: $i,SV4: $i,SV1: $i > $i > $o,SV2: $i] :
( ( ( ~ ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(63,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(64,plain,
! [SV2: $i,SV1: $i > $i > $o,SV8: $i > $o] :
( ( ( ~ ! [SY123: $i] :
~ ( SV8 @ SY123 ) )
= $false )
| ( ( ~ ! [SY124: $i] :
~ ~ ( ~ ( SV8 @ SY124 )
| ~ ! [SY125: $i] :
( ~ ( SV8 @ SY125 )
| ~ ( SV1 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
! [SV2: $i,SV1: $i > $i > $o,SV10: $i,SV3: $i > $o] :
( ( ( SV3 @ SV10 )
= $false )
| ( ( ~ ! [SY117: $i] :
~ ~ ( ~ ( SV3 @ SY117 )
| ~ ! [SY118: $i] :
( ~ ( SV3 @ SY118 )
| ~ ( SV1 @ SY117 @ SY118 ) ) ) )
= $true )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV9: $i,SV6: $i,SV4: $i,SV1: $i > $i > $o,SV2: $i] :
( ( ( ~ ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(67,plain,
! [SV7: $i,SV5: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(68,plain,
! [SV2: $i,SV1: $i > $i > $o,SV8: $i > $o] :
( ( ( ! [SY123: $i] :
~ ( SV8 @ SY123 ) )
= $true )
| ( ( ~ ! [SY124: $i] :
~ ~ ( ~ ( SV8 @ SY124 )
| ~ ! [SY125: $i] :
( ~ ( SV8 @ SY125 )
| ~ ( SV1 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(69,plain,
! [SV2: $i,SV10: $i,SV1: $i > $i > $o,SV3: $i > $o] :
( ( ( ! [SY117: $i] :
~ ~ ( ~ ( SV3 @ SY117 )
| ~ ! [SY118: $i] :
( ~ ( SV3 @ SY118 )
| ~ ( SV1 @ SY117 @ SY118 ) ) ) )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(70,plain,
! [SV9: $i,SV6: $i,SV4: $i,SV1: $i > $i > $o,SV2: $i] :
( ( ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
| ~ ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(71,plain,
! [SV7: $i,SV5: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(72,plain,
! [SV2: $i,SV1: $i > $i > $o,SV11: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV11 ) )
= $true )
| ( ( ~ ! [SY124: $i] :
~ ~ ( ~ ( SV8 @ SY124 )
| ~ ! [SY125: $i] :
( ~ ( SV8 @ SY125 )
| ~ ( SV1 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(73,plain,
! [SV1: $i > $i > $o,SV10: $i,SV2: $i,SV3: $i > $o] :
( ( ( ~ ~ ( ~ ( SV3 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) )
| ~ ! [SY126: $i] :
( ~ ( SV3 @ SY126 )
| ~ ( SV1 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) @ SY126 ) ) ) )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[69]) ).
thf(74,plain,
! [SV9: $i,SV6: $i,SV4: $i,SV1: $i > $i > $o,SV2: $i] :
( ( ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(75,plain,
! [SV7: $i,SV5: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(76,plain,
! [SV2: $i,SV1: $i > $i > $o,SV11: $i,SV8: $i > $o] :
( ( ( SV8 @ SV11 )
= $false )
| ( ( ~ ! [SY124: $i] :
~ ~ ( ~ ( SV8 @ SY124 )
| ~ ! [SY125: $i] :
( ~ ( SV8 @ SY125 )
| ~ ( SV1 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(77,plain,
! [SV1: $i > $i > $o,SV10: $i,SV2: $i,SV3: $i > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) )
| ~ ! [SY126: $i] :
( ~ ( SV3 @ SY126 )
| ~ ( SV1 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) @ SY126 ) ) ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(78,plain,
! [SV9: $i,SV6: $i,SV4: $i,SV1: $i > $i > $o,SV2: $i] :
( ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( ~ ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(79,plain,
! [SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(80,plain,
! [SV2: $i,SV11: $i,SV1: $i > $i > $o,SV8: $i > $o] :
( ( ( ! [SY124: $i] :
~ ~ ( ~ ( SV8 @ SY124 )
| ~ ! [SY125: $i] :
( ~ ( SV8 @ SY125 )
| ~ ( SV1 @ SY124 @ SY125 ) ) ) )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(81,plain,
! [SV1: $i > $i > $o,SV10: $i,SV2: $i,SV3: $i > $o] :
( ( ( ~ ( SV3 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) )
| ~ ! [SY126: $i] :
( ~ ( SV3 @ SY126 )
| ~ ( SV1 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) @ SY126 ) ) )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(82,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV1: $i > $i > $o,SV2: $i] :
( ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( ~ ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(83,plain,
! [SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(84,plain,
! [SV1: $i > $i > $o,SV11: $i,SV2: $i,SV8: $i > $o] :
( ( ( ~ ~ ( ~ ( SV8 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) )
| ~ ! [SY127: $i] :
( ~ ( SV8 @ SY127 )
| ~ ( SV1 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) @ SY127 ) ) ) )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(85,plain,
! [SV1: $i > $i > $o,SV10: $i,SV2: $i,SV3: $i > $o] :
( ( ( ~ ( SV3 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(86,plain,
! [SV10: $i,SV2: $i,SV1: $i > $i > $o,SV3: $i > $o] :
( ( ( ~ ! [SY126: $i] :
( ~ ( SV3 @ SY126 )
| ~ ( SV1 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) @ SY126 ) ) )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(87,plain,
! [SV6: $i,SV9: $i,SV4: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(88,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o,SV12: $i > $o] :
( ( ( ~ ~ ! [SY128: $i] :
~ ( SV12 @ SY128 )
| ~ ! [SY129: $i] :
~ ~ ( ~ ( SV12 @ SY129 )
| ~ ! [SY130: $i] :
( ~ ( SV12 @ SY130 )
| ~ ( SV1 @ SY129 @ SY130 ) ) ) )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(89,plain,
! [SV1: $i > $i > $o,SV11: $i,SV2: $i,SV8: $i > $o] :
( ( ( ~ ( ~ ( SV8 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) )
| ~ ! [SY127: $i] :
( ~ ( SV8 @ SY127 )
| ~ ( SV1 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) @ SY127 ) ) ) )
= $true )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(90,plain,
! [SV1: $i > $i > $o,SV10: $i,SV2: $i,SV3: $i > $o] :
( ( ( SV3 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(91,plain,
! [SV10: $i,SV2: $i,SV1: $i > $i > $o,SV3: $i > $o] :
( ( ( ! [SY126: $i] :
( ~ ( SV3 @ SY126 )
| ~ ( SV1 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) @ SY126 ) ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(92,plain,
! [SV6: $i,SV9: $i,SV4: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(93,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o,SV12: $i > $o] :
( ( ( ~ ~ ! [SY128: $i] :
~ ( SV12 @ SY128 ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( SV12 @ SY129 )
| ~ ! [SY130: $i] :
( ~ ( SV12 @ SY130 )
| ~ ( SV1 @ SY129 @ SY130 ) ) ) )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(94,plain,
! [SV1: $i > $i > $o,SV11: $i,SV2: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) )
| ~ ! [SY127: $i] :
( ~ ( SV8 @ SY127 )
| ~ ( SV1 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) @ SY127 ) ) )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(95,plain,
! [SV10: $i,SV2: $i,SV1: $i > $i > $o,SV13: $i,SV3: $i > $o] :
( ( ( ~ ( SV3 @ SV13 )
| ~ ( SV1 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) @ SV13 ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(96,plain,
! [SV6: $i,SV9: $i,SV4: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( ! [SY110: $i] :
~ ( SV1 @ SV2 @ SY110 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(97,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o,SV12: $i > $o] :
( ( ( ~ ! [SY128: $i] :
~ ( SV12 @ SY128 ) )
= $false )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( SV12 @ SY129 )
| ~ ! [SY130: $i] :
( ~ ( SV12 @ SY130 )
| ~ ( SV1 @ SY129 @ SY130 ) ) ) )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(98,plain,
! [SV1: $i > $i > $o,SV11: $i,SV2: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) ) )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(99,plain,
! [SV11: $i,SV2: $i,SV1: $i > $i > $o,SV8: $i > $o] :
( ( ( ~ ! [SY127: $i] :
( ~ ( SV8 @ SY127 )
| ~ ( SV1 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) @ SY127 ) ) )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(100,plain,
! [SV10: $i,SV2: $i,SV1: $i > $i > $o,SV13: $i,SV3: $i > $o] :
( ( ( ~ ( SV3 @ SV13 ) )
= $true )
| ( ( ~ ( SV1 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) @ SV13 ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(101,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[96]) ).
thf(102,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o,SV12: $i > $o] :
( ( ( ! [SY128: $i] :
~ ( SV12 @ SY128 ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( SV12 @ SY129 )
| ~ ! [SY130: $i] :
( ~ ( SV12 @ SY130 )
| ~ ( SV1 @ SY129 @ SY130 ) ) ) )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(103,plain,
! [SV1: $i > $i > $o,SV11: $i,SV2: $i,SV8: $i > $o] :
( ( ( SV8 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) )
= $true )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(104,plain,
! [SV11: $i,SV2: $i,SV1: $i > $i > $o,SV8: $i > $o] :
( ( ( ! [SY127: $i] :
( ~ ( SV8 @ SY127 )
| ~ ( SV1 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) @ SY127 ) ) )
= $true )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(105,plain,
! [SV10: $i,SV2: $i,SV1: $i > $i > $o,SV13: $i,SV3: $i > $o] :
( ( ( SV3 @ SV13 )
= $false )
| ( ( ~ ( SV1 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) @ SV13 ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(106,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( ! [SY91: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ( SY91 @ SX2 )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( SY91 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( SY91 @ SY94 )
| ~ ( SV1 @ SY93 @ SY94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(107,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o,SV14: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV14 ) )
= $true )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( SV12 @ SY129 )
| ~ ! [SY130: $i] :
( ~ ( SV12 @ SY130 )
| ~ ( SV1 @ SY129 @ SY130 ) ) ) )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(108,plain,
! [SV11: $i,SV2: $i,SV1: $i > $i > $o,SV15: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV15 )
| ~ ( SV1 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) @ SV15 ) )
= $true )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(109,plain,
! [SV13: $i,SV3: $i > $o,SV10: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK7_SY117 @ SV2 @ SV10 @ SV1 @ SV3 ) @ SV13 )
= $false )
| ( ( SV3 @ SV13 )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY131: $i] :
~ ( SV16 @ SY131 )
| ~ ! [SY132: $i] :
~ ~ ( ~ ( SV16 @ SY132 )
| ~ ! [SY133: $i] :
( ~ ( SV16 @ SY133 )
| ~ ( SV1 @ SY132 @ SY133 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV1: $i > $i > $o,SV14: $i,SV12: $i > $o] :
( ( ( SV12 @ SV14 )
= $false )
| ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( SV12 @ SY129 )
| ~ ! [SY130: $i] :
( ~ ( SV12 @ SY130 )
| ~ ( SV1 @ SY129 @ SY130 ) ) ) )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV11: $i,SV2: $i,SV1: $i > $i > $o,SV15: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV15 ) )
= $true )
| ( ( ~ ( SV1 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) @ SV15 ) )
= $true )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY131: $i] :
~ ( SV16 @ SY131 ) )
= $true )
| ( ( ~ ! [SY132: $i] :
~ ~ ( ~ ( SV16 @ SY132 )
| ~ ! [SY133: $i] :
( ~ ( SV16 @ SY133 )
| ~ ( SV1 @ SY132 @ SY133 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(114,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV14: $i,SV1: $i > $i > $o,SV12: $i > $o] :
( ( ( ! [SY129: $i] :
~ ~ ( ~ ( SV12 @ SY129 )
| ~ ! [SY130: $i] :
( ~ ( SV12 @ SY130 )
| ~ ( SV1 @ SY129 @ SY130 ) ) ) )
= $false )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(115,plain,
! [SV11: $i,SV2: $i,SV1: $i > $i > $o,SV15: $i,SV8: $i > $o] :
( ( ( SV8 @ SV15 )
= $false )
| ( ( ~ ( SV1 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) @ SV15 ) )
= $true )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(116,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY131: $i] :
~ ( SV16 @ SY131 ) )
= $false )
| ( ( ~ ! [SY132: $i] :
~ ~ ( ~ ( SV16 @ SY132 )
| ~ ! [SY133: $i] :
( ~ ( SV16 @ SY133 )
| ~ ( SV1 @ SY132 @ SY133 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(117,plain,
! [SV1: $i > $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV12: $i > $o] :
( ( ( ~ ~ ( ~ ( SV12 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) )
| ~ ! [SY134: $i] :
( ~ ( SV12 @ SY134 )
| ~ ( SV1 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) @ SY134 ) ) ) )
= $false )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[114]) ).
thf(118,plain,
! [SV15: $i,SV8: $i > $o,SV11: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK9_SY124 @ SV2 @ SV11 @ SV1 @ SV8 ) @ SV15 )
= $false )
| ( ( SV8 @ SV15 )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(119,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o,SV16: $i > $o] :
( ( ( ! [SY131: $i] :
~ ( SV16 @ SY131 ) )
= $true )
| ( ( ~ ! [SY132: $i] :
~ ~ ( ~ ( SV16 @ SY132 )
| ~ ! [SY133: $i] :
( ~ ( SV16 @ SY133 )
| ~ ( SV1 @ SY132 @ SY133 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(120,plain,
! [SV1: $i > $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV12: $i > $o] :
( ( ( ~ ( ~ ( SV12 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) )
| ~ ! [SY134: $i] :
( ~ ( SV12 @ SY134 )
| ~ ( SV1 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) @ SY134 ) ) ) )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(121,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o,SV17: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV17 ) )
= $true )
| ( ( ~ ! [SY132: $i] :
~ ~ ( ~ ( SV16 @ SY132 )
| ~ ! [SY133: $i] :
( ~ ( SV16 @ SY133 )
| ~ ( SV1 @ SY132 @ SY133 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(122,plain,
! [SV1: $i > $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) )
| ~ ! [SY134: $i] :
( ~ ( SV12 @ SY134 )
| ~ ( SV1 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) @ SY134 ) ) )
= $false )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(123,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o,SV17: $i,SV16: $i > $o] :
( ( ( SV16 @ SV17 )
= $false )
| ( ( ~ ! [SY132: $i] :
~ ~ ( ~ ( SV16 @ SY132 )
| ~ ! [SY133: $i] :
( ~ ( SV16 @ SY133 )
| ~ ( SV1 @ SY132 @ SY133 ) ) ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(124,plain,
! [SV1: $i > $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) ) )
= $false )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(125,plain,
! [SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o,SV12: $i > $o] :
( ( ( ~ ! [SY134: $i] :
( ~ ( SV12 @ SY134 )
| ~ ( SV1 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) @ SY134 ) ) )
= $false )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(126,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV17: $i,SV1: $i > $i > $o,SV16: $i > $o] :
( ( ( ! [SY132: $i] :
~ ~ ( ~ ( SV16 @ SY132 )
| ~ ! [SY133: $i] :
( ~ ( SV16 @ SY133 )
| ~ ( SV1 @ SY132 @ SY133 ) ) ) )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(127,plain,
! [SV1: $i > $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV12: $i > $o] :
( ( ( SV12 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(128,plain,
! [SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o,SV12: $i > $o] :
( ( ( ! [SY134: $i] :
( ~ ( SV12 @ SY134 )
| ~ ( SV1 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) @ SY134 ) ) )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(129,plain,
! [SV1: $i > $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) )
| ~ ! [SY135: $i] :
( ~ ( SV16 @ SY135 )
| ~ ( SV1 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) @ SY135 ) ) ) )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(130,plain,
! [SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o,SV18: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV18 )
| ~ ( SV1 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) @ SV18 ) )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(131,plain,
! [SV1: $i > $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) )
| ~ ! [SY135: $i] :
( ~ ( SV16 @ SY135 )
| ~ ( SV1 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) @ SY135 ) ) ) )
= $true )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(132,plain,
! [SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o,SV18: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV18 ) )
= $true )
| ( ( ~ ( SV1 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) @ SV18 ) )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(133,plain,
! [SV1: $i > $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) )
| ~ ! [SY135: $i] :
( ~ ( SV16 @ SY135 )
| ~ ( SV1 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) @ SY135 ) ) )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(134,plain,
! [SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o,SV18: $i,SV12: $i > $o] :
( ( ( SV12 @ SV18 )
= $false )
| ( ( ~ ( SV1 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) @ SV18 ) )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(135,plain,
! [SV1: $i > $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) ) )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(136,plain,
! [SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY135: $i] :
( ~ ( SV16 @ SY135 )
| ~ ( SV1 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) @ SY135 ) ) )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(137,plain,
! [SV18: $i,SV12: $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1 @ SV12 ) @ SV18 )
= $false )
| ( ( SV12 @ SV18 )
= $false )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(138,plain,
! [SV1: $i > $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV16: $i > $o] :
( ( ( SV16 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) )
= $true )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(139,plain,
! [SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o,SV16: $i > $o] :
( ( ( ! [SY135: $i] :
( ~ ( SV16 @ SY135 )
| ~ ( SV1 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) @ SY135 ) ) )
= $true )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(140,plain,
! [SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o,SV19: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV19 )
| ~ ( SV1 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) @ SV19 ) )
= $true )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(141,plain,
! [SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o,SV19: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV19 ) )
= $true )
| ( ( ~ ( SV1 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) @ SV19 ) )
= $true )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(142,plain,
! [SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o,SV19: $i,SV16: $i > $o] :
( ( ( SV16 @ SV19 )
= $false )
| ( ( ~ ( SV1 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) @ SV19 ) )
= $true )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(143,plain,
! [SV19: $i,SV16: $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1 @ SV16 ) @ SV19 )
= $false )
| ( ( SV16 @ SV19 )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(145,plain,
! [SV10: $i,SV2: $i,SV3: $i > $o] :
( ( ( SV3
@ ( sK7_SY117 @ SV2 @ SV10
@ ^ [SX0: $i,SX1: $i] : $false
@ SV3 ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : $false )
= SV2 )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[90:[bind(SV1,$thf( ^ [SV43: $i] : ^ [SV44: $i] : $false ))]]) ).
thf(146,plain,
! [SV42: $i > $i > $o,SV10: $i,SV2: $i,SV3: $i > $o] :
( ( ( SV3
@ ( sK7_SY117 @ SV2 @ SV10
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV3 ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
= SV2 )
= $false )
| ( ( ~ ( SV42 @ SV2
@ ( sK5_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[90:[bind(SV1,$thf( ^ [SV40: $i] : ^ [SV41: $i] : ~ ( SV42 @ SV40 @ SV41 ) ))]]) ).
thf(148,plain,
! [SV10: $i,SV2: $i,SV3: $i > $o] :
( ( ( SV3
@ ( sK7_SY117 @ SV2 @ SV10
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV3 ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV2 )
= $false )
| ( ( SV2
= ( sK5_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[90:[bind(SV1,$thf( ^ [SV39: $i] : ^ [SV38: $i] : ( SV39 = SV38 ) ))]]) ).
thf(151,plain,
! [SV1: $i > $i > $o,SV10: $i,SV2: $i,SV50: $i > $o] :
( ( ( ~ ( SV50
@ ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] :
~ ( SV50 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV50 @ SV10 ) )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[90:[bind(SV3,$thf( ^ [SV49: $i] : ~ ( SV50 @ SV49 ) ))]]) ).
thf(152,plain,
! [SV1: $i > $i > $o,SV10: $i,SV2: $i] :
( ( ( ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( SV10 = sK3_SY95 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[90:[bind(SV3,$thf( ^ [SV47: $i] : ( SV47 = sK3_SY95 ) ))]]) ).
thf(153,plain,
! [SV1: $i > $i > $o,SV10: $i,SV2: $i] :
( ( ( ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
= sK1_SX0 )
= $true )
| ( ( SV10 = sK1_SX0 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[90:[bind(SV3,$thf( ^ [SV48: $i] : ( SV48 = sK1_SX0 ) ))]]) ).
thf(156,plain,
! [SV1: $i > $i > $o,SV11: $i,SV2: $i,SV35: $i > $o] :
( ( ( ~ ( SV35
@ ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV35 @ SV11 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[103:[bind(SV8,$thf( ^ [SV34: $i] : ~ ( SV35 @ SV34 ) ))]]) ).
thf(157,plain,
! [SV1: $i > $i > $o,SV11: $i,SV2: $i] :
( ( ( ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( SV11 = sK3_SY95 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[103:[bind(SV8,$thf( ^ [SV32: $i] : ( SV32 = sK3_SY95 ) ))]]) ).
thf(158,plain,
! [SV1: $i > $i > $o,SV11: $i,SV2: $i] :
( ( ( ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
= sK1_SX0 )
= $true )
| ( ( SV11 = sK1_SX0 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[103:[bind(SV8,$thf( ^ [SV33: $i] : ( SV33 = sK1_SX0 ) ))]]) ).
thf(160,plain,
! [SV11: $i,SV2: $i,SV8: $i > $o] :
( ( ( SV8
@ ( sK9_SY124 @ SV2 @ SV11
@ ^ [SX0: $i,SX1: $i] : $false
@ SV8 ) )
= $true )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : $false )
@ SV2 )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[103:[bind(SV1,$thf( ^ [SV43: $i] : ^ [SV44: $i] : $false ))]]) ).
thf(161,plain,
! [SV42: $i > $i > $o,SV11: $i,SV2: $i,SV8: $i > $o] :
( ( ( SV8
@ ( sK9_SY124 @ SV2 @ SV11
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV8 ) )
= $true )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ SV2 )
= $false )
| ( ( ~ ( SV42 @ SV2
@ ( sK6_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[103:[bind(SV1,$thf( ^ [SV40: $i] : ^ [SV41: $i] : ~ ( SV42 @ SV40 @ SV41 ) ))]]) ).
thf(163,plain,
! [SV11: $i,SV2: $i,SV8: $i > $o] :
( ( ( SV8
@ ( sK9_SY124 @ SV2 @ SV11
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV8 ) )
= $true )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ SV2 )
= $false )
| ( ( SV2
= ( sK6_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[103:[bind(SV1,$thf( ^ [SV39: $i] : ^ [SV38: $i] : ( SV39 = SV38 ) ))]]) ).
thf(166,plain,
! [SV13: $i,SV3: $i > $o,SV10: $i,SV2: $i,SV42: $i > $i > $o] :
( ( ( ~ ( SV42
@ ( sK7_SY117 @ SV2 @ SV10
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV3 )
@ SV13 ) )
= $false )
| ( ( SV3 @ SV13 )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
= SV2 )
= $false )
| ( ( ~ ( SV42 @ SV2
@ ( sK5_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV1,$thf( ^ [SV40: $i] : ^ [SV41: $i] : ~ ( SV42 @ SV40 @ SV41 ) ))]]) ).
thf(168,plain,
! [SV13: $i,SV3: $i > $o,SV10: $i,SV2: $i] :
( ( ( ( sK7_SY117 @ SV2 @ SV10
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV3 )
= SV13 )
= $false )
| ( ( SV3 @ SV13 )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV2 )
= $false )
| ( ( SV2
= ( sK5_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV1,$thf( ^ [SV39: $i] : ^ [SV38: $i] : ( SV39 = SV38 ) ))]]) ).
thf(169,plain,
! [SV13: $i,SV10: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] : $true )
@ SV13 )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV3,$thf( ^ [SV52: $i] : $true ))]]) ).
thf(171,plain,
! [SV13: $i,SV50: $i > $o,SV10: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] :
~ ( SV50 @ SX0 ) )
@ SV13 )
= $false )
| ( ( ~ ( SV50 @ SV13 ) )
= $false )
| ( ( ~ ( SV50 @ SV10 ) )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV3,$thf( ^ [SV49: $i] : ~ ( SV50 @ SV49 ) ))]]) ).
thf(172,plain,
! [SV13: $i,SV10: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
@ SV13 )
= $false )
| ( ( SV13 = sK3_SY95 )
= $false )
| ( ( SV10 = sK3_SY95 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV3,$thf( ^ [SV47: $i] : ( SV47 = sK3_SY95 ) ))]]) ).
thf(173,plain,
! [SV13: $i,SV10: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
@ SV13 )
= $false )
| ( ( SV13 = sK1_SX0 )
= $false )
| ( ( SV10 = sK1_SX0 )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV3,$thf( ^ [SV48: $i] : ( SV48 = sK1_SX0 ) ))]]) ).
thf(174,plain,
! [SV15: $i,SV11: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] : $true )
@ SV15 )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[118:[bind(SV8,$thf( ^ [SV37: $i] : $true ))]]) ).
thf(176,plain,
! [SV15: $i,SV35: $i > $o,SV11: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 ) )
@ SV15 )
= $false )
| ( ( ~ ( SV35 @ SV15 ) )
= $false )
| ( ( ~ ( SV35 @ SV11 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[118:[bind(SV8,$thf( ^ [SV34: $i] : ~ ( SV35 @ SV34 ) ))]]) ).
thf(177,plain,
! [SV15: $i,SV11: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
@ SV15 )
= $false )
| ( ( SV15 = sK3_SY95 )
= $false )
| ( ( SV11 = sK3_SY95 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[118:[bind(SV8,$thf( ^ [SV32: $i] : ( SV32 = sK3_SY95 ) ))]]) ).
thf(178,plain,
! [SV15: $i,SV11: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
@ SV15 )
= $false )
| ( ( SV15 = sK1_SX0 )
= $false )
| ( ( SV11 = sK1_SX0 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[118:[bind(SV8,$thf( ^ [SV33: $i] : ( SV33 = sK1_SX0 ) ))]]) ).
thf(181,plain,
! [SV15: $i,SV8: $i > $o,SV11: $i,SV2: $i,SV42: $i > $i > $o] :
( ( ( ~ ( SV42
@ ( sK9_SY124 @ SV2 @ SV11
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV8 )
@ SV15 ) )
= $false )
| ( ( SV8 @ SV15 )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ SV2 )
= $false )
| ( ( ~ ( SV42 @ SV2
@ ( sK6_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[118:[bind(SV1,$thf( ^ [SV40: $i] : ^ [SV41: $i] : ~ ( SV42 @ SV40 @ SV41 ) ))]]) ).
thf(183,plain,
! [SV15: $i,SV8: $i > $o,SV11: $i,SV2: $i] :
( ( ( ( sK9_SY124 @ SV2 @ SV11
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV8 )
= SV15 )
= $false )
| ( ( SV8 @ SV15 )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ SV2 )
= $false )
| ( ( SV2
= ( sK6_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[118:[bind(SV1,$thf( ^ [SV39: $i] : ^ [SV38: $i] : ( SV39 = SV38 ) ))]]) ).
thf(186,plain,
! [SV1: $i > $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV29: $i > $o] :
( ( ( ~ ( SV29
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] :
~ ( SV29 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV29 @ SV14 ) )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[127:[bind(SV12,$thf( ^ [SV28: $i] : ~ ( SV29 @ SV28 ) ))]]) ).
thf(187,plain,
! [SV1: $i > $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i] :
( ( ( ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( SV14 = sK3_SY95 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[127:[bind(SV12,$thf( ^ [SV26: $i] : ( SV26 = sK3_SY95 ) ))]]) ).
thf(188,plain,
! [SV1: $i > $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i] :
( ( ( ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
= sK1_SX0 )
= $true )
| ( ( SV14 = sK1_SX0 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[127:[bind(SV12,$thf( ^ [SV27: $i] : ( SV27 = sK1_SX0 ) ))]]) ).
thf(191,plain,
! [SV42: $i > $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV12: $i > $o] :
( ( ( SV12
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV12 ) )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( ~ ( SV42 @ SV5 @ SV7 ) )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV5
@ SV7 )
= $true )
| ( ( ~ ( SV42 @ SV2
@ ( sK8_SY110 @ SV7 @ SV5 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[127:[bind(SV1,$thf( ^ [SV40: $i] : ^ [SV41: $i] : ~ ( SV42 @ SV40 @ SV41 ) ))]]) ).
thf(193,plain,
! [SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV12: $i > $o] :
( ( ( SV12
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV12 ) )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV5 = SV7 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV5
@ SV7 )
= $true )
| ( ( SV2
= ( sK8_SY110 @ SV7 @ SV5 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[127:[bind(SV1,$thf( ^ [SV39: $i] : ^ [SV38: $i] : ( SV39 = SV38 ) ))]]) ).
thf(194,plain,
! [SV18: $i,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] : $true )
@ SV18 )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[137:[bind(SV12,$thf( ^ [SV31: $i] : $true ))]]) ).
thf(196,plain,
! [SV18: $i,SV29: $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] :
~ ( SV29 @ SX0 ) )
@ SV18 )
= $false )
| ( ( ~ ( SV29 @ SV18 ) )
= $false )
| ( ( ~ ( SV29 @ SV14 ) )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[137:[bind(SV12,$thf( ^ [SV28: $i] : ~ ( SV29 @ SV28 ) ))]]) ).
thf(197,plain,
! [SV18: $i,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
@ SV18 )
= $false )
| ( ( SV18 = sK3_SY95 )
= $false )
| ( ( SV14 = sK3_SY95 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[137:[bind(SV12,$thf( ^ [SV26: $i] : ( SV26 = sK3_SY95 ) ))]]) ).
thf(198,plain,
! [SV18: $i,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
@ SV18 )
= $false )
| ( ( SV18 = sK1_SX0 )
= $false )
| ( ( SV14 = sK1_SX0 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[137:[bind(SV12,$thf( ^ [SV27: $i] : ( SV27 = sK1_SX0 ) ))]]) ).
thf(201,plain,
! [SV18: $i,SV12: $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV42: $i > $i > $o] :
( ( ( ~ ( SV42
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV12 )
@ SV18 ) )
= $false )
| ( ( SV12 @ SV18 )
= $false )
| ( ( SV12 @ SV14 )
= $false )
| ( ( ~ ( SV42 @ SV5 @ SV7 ) )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV5
@ SV7 )
= $true )
| ( ( ~ ( SV42 @ SV2
@ ( sK8_SY110 @ SV7 @ SV5 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[137:[bind(SV1,$thf( ^ [SV40: $i] : ^ [SV41: $i] : ~ ( SV42 @ SV40 @ SV41 ) ))]]) ).
thf(203,plain,
! [SV18: $i,SV12: $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i] :
( ( ( ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV12 )
= SV18 )
= $false )
| ( ( SV12 @ SV18 )
= $false )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV5 = SV7 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV5
@ SV7 )
= $true )
| ( ( SV2
= ( sK8_SY110 @ SV7 @ SV5 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[137:[bind(SV1,$thf( ^ [SV39: $i] : ^ [SV38: $i] : ( SV39 = SV38 ) ))]]) ).
thf(206,plain,
! [SV1: $i > $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV23: $i > $o] :
( ( ( ~ ( SV23
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV23 @ SV17 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[138:[bind(SV16,$thf( ^ [SV22: $i] : ~ ( SV23 @ SV22 ) ))]]) ).
thf(207,plain,
! [SV1: $i > $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i] :
( ( ( ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( SV17 = sK3_SY95 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[138:[bind(SV16,$thf( ^ [SV20: $i] : ( SV20 = sK3_SY95 ) ))]]) ).
thf(208,plain,
! [SV1: $i > $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i] :
( ( ( ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
= sK1_SX0 )
= $true )
| ( ( SV17 = sK1_SX0 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[138:[bind(SV16,$thf( ^ [SV21: $i] : ( SV21 = sK1_SX0 ) ))]]) ).
thf(210,plain,
! [SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV16: $i > $o] :
( ( ( SV16
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17
@ ^ [SX0: $i,SX1: $i] : $false
@ SV16 ) )
= $true )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false
@ SV6
@ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false
@ SV4
@ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false
@ SV4
@ SV9 )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[138:[bind(SV1,$thf( ^ [SV43: $i] : ^ [SV44: $i] : $false ))]]) ).
thf(211,plain,
! [SV42: $i > $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV16: $i > $o] :
( ( ( SV16
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV16 ) )
= $true )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV6
@ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV4
@ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV4
@ SV9 )
= $true )
| ( ( ~ ( SV42 @ SV2
@ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[138:[bind(SV1,$thf( ^ [SV40: $i] : ^ [SV41: $i] : ~ ( SV42 @ SV40 @ SV41 ) ))]]) ).
thf(213,plain,
! [SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV16: $i > $o] :
( ( ( SV16
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV16 ) )
= $true )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV6
@ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV4
@ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV4
@ SV9 )
= $true )
| ( ( SV2
= ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[138:[bind(SV1,$thf( ^ [SV39: $i] : ^ [SV38: $i] : ( SV39 = SV38 ) ))]]) ).
thf(214,plain,
! [SV19: $i,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] : $true )
@ SV19 )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[143:[bind(SV16,$thf( ^ [SV25: $i] : $true ))]]) ).
thf(216,plain,
! [SV19: $i,SV23: $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) )
@ SV19 )
= $false )
| ( ( ~ ( SV23 @ SV19 ) )
= $false )
| ( ( ~ ( SV23 @ SV17 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[143:[bind(SV16,$thf( ^ [SV22: $i] : ~ ( SV23 @ SV22 ) ))]]) ).
thf(217,plain,
! [SV19: $i,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
@ SV19 )
= $false )
| ( ( SV19 = sK3_SY95 )
= $false )
| ( ( SV17 = sK3_SY95 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[143:[bind(SV16,$thf( ^ [SV20: $i] : ( SV20 = sK3_SY95 ) ))]]) ).
thf(218,plain,
! [SV19: $i,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
@ SV19 )
= $false )
| ( ( SV19 = sK1_SX0 )
= $false )
| ( ( SV17 = sK1_SX0 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[143:[bind(SV16,$thf( ^ [SV21: $i] : ( SV21 = sK1_SX0 ) ))]]) ).
thf(221,plain,
! [SV19: $i,SV16: $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV42: $i > $i > $o] :
( ( ( ~ ( SV42
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV16 )
@ SV19 ) )
= $false )
| ( ( SV16 @ SV19 )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV6
@ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV4
@ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV4
@ SV9 )
= $true )
| ( ( ~ ( SV42 @ SV2
@ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[143:[bind(SV1,$thf( ^ [SV40: $i] : ^ [SV41: $i] : ~ ( SV42 @ SV40 @ SV41 ) ))]]) ).
thf(223,plain,
! [SV19: $i,SV16: $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i] :
( ( ( ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV16 )
= SV19 )
= $false )
| ( ( SV16 @ SV19 )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV6
@ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV4
@ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV4
@ SV9 )
= $true )
| ( ( SV2
= ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[143:[bind(SV1,$thf( ^ [SV39: $i] : ^ [SV38: $i] : ( SV39 = SV38 ) ))]]) ).
thf(224,plain,
! [SV10: $i,SV3: $i > $o,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY82 @ SV1 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV1 ) @ SV1 ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3 @ ( sK7_SY117 @ ( sK2_SY82 @ SV1 ) @ SV10 @ SV1 @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[90:[bind(SV2,$thf( sK2_SY82 @ SV1 ))]]) ).
thf(225,plain,
! [SV13: $i,SV10: $i,SV3: $i > $o,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY82 @ SV1 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV1 ) @ SV1 ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3 @ SV13 )
= $false )
| ( ( SV1 @ ( sK7_SY117 @ ( sK2_SY82 @ SV1 ) @ SV10 @ SV1 @ SV3 ) @ SV13 )
= $false ) ),
inference(extuni,[status(esa)],[109:[bind(SV2,$thf( sK2_SY82 @ SV1 ))]]) ).
thf(226,plain,
! [SV10: $i,SV3: $i > $o,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42 @ SV2
@ ( sK5_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
= SV2 )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3
@ ( sK7_SY117 @ SV2 @ SV10
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(228,plain,
! [SV1: $i > $i > $o,SV10: $i,SV2: $i,SV50: $i > $o] :
( ( ( SV50
@ ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] :
~ ( SV50 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV50 @ SV10 ) )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(229,plain,
! [SV1: $i > $i > $o,SV11: $i,SV2: $i,SV35: $i > $o] :
( ( ( SV35
@ ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV35 @ SV11 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(230,plain,
! [SV11: $i,SV8: $i > $o,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42 @ SV2
@ ( sK6_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ SV2 )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( SV8
@ ( sK9_SY124 @ SV2 @ SV11
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(232,plain,
! [SV13: $i,SV3: $i > $o,SV10: $i,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42
@ ( sK7_SY117 @ SV2 @ SV10
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV3 )
@ SV13 )
= $true )
| ( ( SV3 @ SV13 )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
= SV2 )
= $false )
| ( ( ~ ( SV42 @ SV2
@ ( sK5_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(234,plain,
! [SV10: $i,SV2: $i,SV1: $i > $i > $o,SV13: $i,SV50: $i > $o] :
( ( ( SV50 @ SV13 )
= $true )
| ( ( SV1
@ ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] :
~ ( SV50 @ SX0 ) )
@ SV13 )
= $false )
| ( ( ~ ( SV50 @ SV10 ) )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(235,plain,
! [SV11: $i,SV2: $i,SV1: $i > $i > $o,SV15: $i,SV35: $i > $o] :
( ( ( SV35 @ SV15 )
= $true )
| ( ( SV1
@ ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 ) )
@ SV15 )
= $false )
| ( ( ~ ( SV35 @ SV11 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(236,plain,
! [SV15: $i,SV8: $i > $o,SV11: $i,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42
@ ( sK9_SY124 @ SV2 @ SV11
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV8 )
@ SV15 )
= $true )
| ( ( SV8 @ SV15 )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ SV2 )
= $false )
| ( ( ~ ( SV42 @ SV2
@ ( sK6_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(238,plain,
! [SV1: $i > $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV29: $i > $o] :
( ( ( SV29
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] :
~ ( SV29 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV29 @ SV14 ) )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(239,plain,
! [SV2: $i,SV14: $i,SV12: $i > $o,SV7: $i,SV5: $i,SV42: $i > $i > $o] :
( ( ( SV42 @ SV5 @ SV7 )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV12
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV12 ) )
= $true )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV5
@ SV7 )
= $true )
| ( ( ~ ( SV42 @ SV2
@ ( sK8_SY110 @ SV7 @ SV5 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(241,plain,
! [SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o,SV18: $i,SV29: $i > $o] :
( ( ( SV29 @ SV18 )
= $true )
| ( ( SV1
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] :
~ ( SV29 @ SX0 ) )
@ SV18 )
= $false )
| ( ( ~ ( SV29 @ SV14 ) )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(242,plain,
! [SV18: $i,SV12: $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV12 )
@ SV18 )
= $true )
| ( ( SV12 @ SV18 )
= $false )
| ( ( SV12 @ SV14 )
= $false )
| ( ( ~ ( SV42 @ SV5 @ SV7 ) )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV5
@ SV7 )
= $true )
| ( ( ~ ( SV42 @ SV2
@ ( sK8_SY110 @ SV7 @ SV5 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(244,plain,
! [SV1: $i > $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV23: $i > $o] :
( ( ( SV23
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV23 @ SV17 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(245,plain,
! [SV17: $i,SV16: $i > $o,SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42 @ SV2
@ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV4
@ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV4
@ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV6
@ SV9 )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( SV16
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(247,plain,
! [SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o,SV19: $i,SV23: $i > $o] :
( ( ( SV23 @ SV19 )
= $true )
| ( ( SV1
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) )
@ SV19 )
= $false )
| ( ( ~ ( SV23 @ SV17 ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(248,plain,
! [SV19: $i,SV16: $i > $o,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV42: $i > $i > $o] :
( ( ( SV42
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV16 )
@ SV19 )
= $true )
| ( ( SV16 @ SV19 )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV6
@ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV4
@ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV4
@ SV9 )
= $true )
| ( ( ~ ( SV42 @ SV2
@ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(250,plain,
! [SV1: $i > $i > $o,SV2: $i,SV10: $i,SV50: $i > $o] :
( ( ( SV50 @ SV10 )
= $true )
| ( ( SV50
@ ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] :
~ ( SV50 @ SX0 ) ) )
= $false )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(251,plain,
! [SV1: $i > $i > $o,SV2: $i,SV11: $i,SV35: $i > $o] :
( ( ( SV35 @ SV11 )
= $true )
| ( ( SV35
@ ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(252,plain,
! [SV13: $i,SV10: $i,SV3: $i > $o,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42 @ SV2
@ ( sK5_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
= SV2 )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3 @ SV13 )
= $false )
| ( ( SV42
@ ( sK7_SY117 @ SV2 @ SV10
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV3 )
@ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(254,plain,
! [SV13: $i,SV2: $i,SV1: $i > $i > $o,SV10: $i,SV50: $i > $o] :
( ( ( SV50 @ SV10 )
= $true )
| ( ( SV1
@ ( sK7_SY117 @ SV2 @ SV10 @ SV1
@ ^ [SX0: $i] :
~ ( SV50 @ SX0 ) )
@ SV13 )
= $false )
| ( ( SV50 @ SV13 )
= $true )
| ( ( ( sK2_SY82 @ SV1 )
= SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK5_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(255,plain,
! [SV15: $i,SV2: $i,SV1: $i > $i > $o,SV11: $i,SV35: $i > $o] :
( ( ( SV35 @ SV11 )
= $true )
| ( ( SV1
@ ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 ) )
@ SV15 )
= $false )
| ( ( SV35 @ SV15 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(256,plain,
! [SV15: $i,SV11: $i,SV8: $i > $o,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42 @ SV2
@ ( sK6_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ SV2 )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( SV8 @ SV15 )
= $false )
| ( ( SV42
@ ( sK9_SY124 @ SV2 @ SV11
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV8 )
@ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(258,plain,
! [SV1: $i > $i > $o,SV5: $i,SV7: $i,SV2: $i,SV14: $i,SV29: $i > $o] :
( ( ( SV29 @ SV14 )
= $true )
| ( ( SV29
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] :
~ ( SV29 @ SX0 ) ) )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(259,plain,
! [SV14: $i,SV12: $i > $o,SV5: $i,SV7: $i,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42 @ SV2
@ ( sK8_SY110 @ SV7 @ SV5 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV5
@ SV7 )
= $true )
| ( ( SV12
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV12 ) )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV42 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(261,plain,
! [SV18: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o,SV14: $i,SV29: $i > $o] :
( ( ( SV29 @ SV14 )
= $true )
| ( ( SV1
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] :
~ ( SV29 @ SX0 ) )
@ SV18 )
= $false )
| ( ( SV29 @ SV18 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(262,plain,
! [SV2: $i,SV18: $i,SV14: $i,SV12: $i > $o,SV7: $i,SV5: $i,SV42: $i > $i > $o] :
( ( ( SV42 @ SV5 @ SV7 )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV12 @ SV18 )
= $false )
| ( ( SV42
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV12 )
@ SV18 )
= $true )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV5
@ SV7 )
= $true )
| ( ( ~ ( SV42 @ SV2
@ ( sK8_SY110 @ SV7 @ SV5 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(264,plain,
! [SV1: $i > $i > $o,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV17: $i,SV23: $i > $o] :
( ( ( SV23 @ SV17 )
= $true )
| ( ( SV23
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(265,plain,
! [SV19: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o,SV17: $i,SV23: $i > $o] :
( ( ( SV23 @ SV17 )
= $true )
| ( ( SV1
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) )
@ SV19 )
= $false )
| ( ( SV23 @ SV19 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(266,plain,
! [SV19: $i,SV17: $i,SV16: $i > $o,SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42 @ SV2
@ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV4
@ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV4
@ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV6
@ SV9 )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( SV16 @ SV19 )
= $false )
| ( ( SV42
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV16 )
@ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(268,plain,
! [SV18: $i,SV12: $i > $o,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV42: $i > $i > $o] :
( ( ( SV42 @ SV2
@ ( sK8_SY110 @ SV7 @ SV5 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV5
@ SV7 )
= $true )
| ( ( SV42
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV12 )
@ SV18 )
= $true )
| ( ( SV12 @ SV18 )
= $false )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV42 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(271,plain,
! [SV10: $i,SV3: $i > $o] :
( ( $false = $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3
@ ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : $false )
@ SV10
@ ^ [SX0: $i,SX1: $i] : $false
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[145:[bind(SV2,$thf( sK2_SY82 @ ^ [SX0: $i] : ^ [SX1: $i] : $false ))]]) ).
thf(272,plain,
! [SV10: $i,SV42: $i > $i > $o,SV3: $i > $o] :
( ( ( SV3
@ ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ SV10
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV3 ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV42
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[226:[bind(SV2,$thf( sK2_SY82 @ ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV42 @ SX0 @ SX1 ) ))]]) ).
thf(273,plain,
! [SV10: $i,SV3: $i > $o] :
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3
@ ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ SV10
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[148:[bind(SV2,$thf( sK2_SY82 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(276,plain,
! [SV10: $i,SV50: $i > $o,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY82 @ SV1 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV1 ) @ SV1 ) )
= $true )
| ( ( SV50
@ ( sK7_SY117 @ ( sK2_SY82 @ SV1 ) @ SV10 @ SV1
@ ^ [SX0: $i] :
~ ( SV50 @ SX0 ) ) )
= $false )
| ( ( SV50 @ SV10 )
= $true ) ),
inference(extuni,[status(esa)],[250:[bind(SV2,$thf( sK2_SY82 @ SV1 ))]]) ).
thf(277,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY82 @ SV1 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV1 ) @ SV1 ) )
= $true )
| ( ( ( sK7_SY117 @ ( sK2_SY82 @ SV1 ) @ sK3_SY95 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(extuni,[status(esa)],[152:[bind(SV2,$thf( sK2_SY82 @ SV1 )),bind(SV10,$thf( sK3_SY95 ))]]) ).
thf(278,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY82 @ SV1 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV1 ) @ SV1 ) )
= $true )
| ( ( ( sK7_SY117 @ ( sK2_SY82 @ SV1 ) @ sK1_SX0 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
= sK1_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[153:[bind(SV2,$thf( sK2_SY82 @ SV1 )),bind(SV10,$thf( sK1_SX0 ))]]) ).
thf(279,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( ( sK9_SY124 @ SV2 @ sK3_SY95 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(extuni,[status(esa)],[157:[bind(SV11,$thf( sK3_SY95 ))]]) ).
thf(280,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( ( sK9_SY124 @ SV2 @ sK1_SX0 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
= sK1_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[158:[bind(SV11,$thf( sK1_SX0 ))]]) ).
thf(283,plain,
! [SV13: $i,SV3: $i > $o,SV10: $i,SV42: $i > $i > $o] :
( ( ( SV42
@ ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ SV10
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 )
@ SV3 )
@ SV13 )
= $true )
| ( ( SV3 @ SV13 )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV42
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV42 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[252:[bind(SV2,$thf( sK2_SY82 @ ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV42 @ SX0 @ SX1 ) ))]]) ).
thf(284,plain,
! [SV10: $i,SV3: $i > $o] :
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3
@ ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ SV10
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV2,$thf( sK2_SY82 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) )),bind(SV13,$thf( sK7_SY117 @ ( sK2_SY82 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ) @ SV10 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) @ SV3 ))]]) ).
thf(285,plain,
! [SV13: $i,SV10: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY82 @ SV1 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV1 ) @ SV1 ) )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV1
@ ( sK7_SY117 @ ( sK2_SY82 @ SV1 ) @ SV10 @ SV1
@ ^ [SX0: $i] : $true )
@ SV13 )
= $false ) ),
inference(extuni,[status(esa)],[169:[bind(SV2,$thf( sK2_SY82 @ SV1 ))]]) ).
thf(287,plain,
! [SV10: $i,SV13: $i,SV50: $i > $o,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY82 @ SV1 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV1 ) @ SV1 ) )
= $true )
| ( ( SV50 @ SV13 )
= $true )
| ( ( SV1
@ ( sK7_SY117 @ ( sK2_SY82 @ SV1 ) @ SV10 @ SV1
@ ^ [SX0: $i] :
~ ( SV50 @ SX0 ) )
@ SV13 )
= $false )
| ( ( SV50 @ SV10 )
= $true ) ),
inference(extuni,[status(esa)],[254:[bind(SV2,$thf( sK2_SY82 @ SV1 ))]]) ).
thf(288,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY82 @ SV1 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV1 ) @ SV1 ) )
= $true )
| ( ( SV1
@ ( sK7_SY117 @ ( sK2_SY82 @ SV1 ) @ sK3_SY95 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
@ sK3_SY95 )
= $false ) ),
inference(extuni,[status(esa)],[172:[bind(SV2,$thf( sK2_SY82 @ SV1 )),bind(SV10,$thf( sK3_SY95 )),bind(SV13,$thf( sK3_SY95 ))]]) ).
thf(289,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY82 @ SV1 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV1 ) @ SV1 ) )
= $true )
| ( ( SV1
@ ( sK7_SY117 @ ( sK2_SY82 @ SV1 ) @ sK1_SX0 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
@ sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[173:[bind(SV2,$thf( sK2_SY82 @ SV1 )),bind(SV10,$thf( sK1_SX0 )),bind(SV13,$thf( sK1_SX0 ))]]) ).
thf(290,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1
@ ( sK9_SY124 @ SV2 @ sK3_SY95 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
@ sK3_SY95 )
= $false ) ),
inference(extuni,[status(esa)],[177:[bind(SV11,$thf( sK3_SY95 )),bind(SV15,$thf( sK3_SY95 ))]]) ).
thf(291,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1
@ ( sK9_SY124 @ SV2 @ sK1_SX0 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
@ sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[178:[bind(SV11,$thf( sK1_SX0 )),bind(SV15,$thf( sK1_SX0 ))]]) ).
thf(292,plain,
! [SV11: $i,SV8: $i > $o,SV2: $i] :
( ( ( SV2
= ( sK6_SY110 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ SV2 )
= $false )
| ( ( SV8 @ SV11 )
= $false )
| ( ( SV8
@ ( sK9_SY124 @ SV2 @ SV11
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV8 ) )
= $false ) ),
inference(extuni,[status(esa)],[183:[bind(SV15,$thf( sK9_SY124 @ SV2 @ SV11 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) @ SV8 ))]]) ).
thf(293,plain,
! [SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ sK3_SY95 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(extuni,[status(esa)],[187:[bind(SV14,$thf( sK3_SY95 ))]]) ).
thf(294,plain,
! [SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ sK1_SX0 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
= sK1_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[188:[bind(SV14,$thf( sK1_SX0 ))]]) ).
thf(295,plain,
! [SV14: $i,SV12: $i > $o,SV7: $i,SV2: $i] :
( ( ( SV2
= ( sK8_SY110 @ SV7 @ SV7 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV7
@ SV7 )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV12
@ ( sK11_SY129 @ SV2 @ SV7 @ SV7 @ SV14
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV12 ) )
= $true ) ),
inference(extuni,[status(esa)],[193:[bind(SV5,$thf( SV7 ))]]) ).
thf(296,plain,
! [SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ sK3_SY95 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
@ sK3_SY95 )
= $false ) ),
inference(extuni,[status(esa)],[197:[bind(SV14,$thf( sK3_SY95 )),bind(SV18,$thf( sK3_SY95 ))]]) ).
thf(297,plain,
! [SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ sK1_SX0 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
@ sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[198:[bind(SV14,$thf( sK1_SX0 )),bind(SV18,$thf( sK1_SX0 ))]]) ).
thf(298,plain,
! [SV14: $i,SV12: $i > $o,SV7: $i,SV2: $i] :
( ( ( SV2
= ( sK8_SY110 @ SV7 @ SV7 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV7
@ SV7 )
= $true )
| ( ( SV12 @ SV14 )
= $false )
| ( ( SV12
@ ( sK11_SY129 @ SV2 @ SV7 @ SV7 @ SV14
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[203:[bind(SV5,$thf( SV7 )),bind(SV18,$thf( sK11_SY129 @ SV2 @ SV7 @ SV7 @ SV14 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) @ SV12 ))]]) ).
thf(299,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ sK3_SY95 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(extuni,[status(esa)],[207:[bind(SV17,$thf( sK3_SY95 ))]]) ).
thf(300,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ sK1_SX0 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
= sK1_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[208:[bind(SV17,$thf( sK1_SX0 ))]]) ).
thf(301,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( SV1
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ sK3_SY95 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
@ sK3_SY95 )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV17,$thf( sK3_SY95 )),bind(SV19,$thf( sK3_SY95 ))]]) ).
thf(302,plain,
! [SV4: $i,SV9: $i,SV6: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( SV1
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ sK1_SX0 @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SX0 ) )
@ sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV17,$thf( sK1_SX0 )),bind(SV19,$thf( sK1_SX0 ))]]) ).
thf(303,plain,
! [SV17: $i,SV16: $i > $o,SV4: $i,SV9: $i,SV6: $i,SV2: $i] :
( ( ( SV2
= ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV4
@ SV9 )
= $true )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV4
@ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV6
@ SV9 )
= $false )
| ( ( SV16 @ SV17 )
= $false )
| ( ( SV16
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[223:[bind(SV19,$thf( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) @ SV16 ))]]) ).
thf(304,plain,
! [SV10: $i,SV3: $i > $o] :
( ( ( SV3 @ SV10 )
= $false )
| ( ( SV3
@ ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : $false )
@ SV10
@ ^ [SX0: $i,SX1: $i] : $false
@ SV3 ) )
= $true ) ),
inference(sim,[status(thm)],[271]) ).
thf(305,plain,
! [SV11: $i,SV2: $i,SV8: $i > $o] :
( ( ( SV8
@ ( sK9_SY124 @ SV2 @ SV11
@ ^ [SX0: $i,SX1: $i] : $false
@ SV8 ) )
= $true )
| ( ( SV8 @ SV11 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : $false )
@ SV2 )
= $false ) ),
inference(sim,[status(thm)],[160]) ).
thf(306,plain,
! [SV13: $i,SV10: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY82 @ SV1 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV1 ) @ SV1 ) )
= $true )
| ( ( SV1
@ ( sK7_SY117 @ ( sK2_SY82 @ SV1 ) @ SV10 @ SV1
@ ^ [SX0: $i] : $true )
@ SV13 )
= $false ) ),
inference(sim,[status(thm)],[285]) ).
thf(307,plain,
! [SV15: $i,SV11: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK9_SY124 @ SV2 @ SV11 @ SV1
@ ^ [SX0: $i] : $true )
@ SV15 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ ( sK2_SY82 @ SV1 ) @ SV2 )
= $false )
| ( ( SV1 @ SV2 @ ( sK6_SY110 @ SV2 @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[174]) ).
thf(308,plain,
! [SV18: $i,SV14: $i,SV5: $i,SV7: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK11_SY129 @ SV2 @ SV7 @ SV5 @ SV14 @ SV1
@ ^ [SX0: $i] : $true )
@ SV18 )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV2 @ ( sK8_SY110 @ SV7 @ SV5 @ SV2 @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[194]) ).
thf(309,plain,
! [SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV16: $i > $o] :
( ( ( SV16
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17
@ ^ [SX0: $i,SX1: $i] : $false
@ SV16 ) )
= $true )
| ( ( SV16 @ SV17 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false
@ SV6
@ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false
@ SV4
@ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false
@ SV4
@ SV9 )
= $true ) ),
inference(sim,[status(thm)],[210]) ).
thf(310,plain,
! [SV19: $i,SV17: $i,SV2: $i,SV6: $i,SV9: $i,SV4: $i,SV1: $i > $i > $o] :
( ( ( SV1
@ ( sK12_SY132 @ SV4 @ SV9 @ SV6 @ SV2 @ SV17 @ SV1
@ ^ [SX0: $i] : $true )
@ SV19 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV6 @ SV9 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV6 )
= $false )
| ( ( sK4_SY104 @ SV2 @ SV1 @ SV4 @ SV9 )
= $true )
| ( ( SV1 @ SV2 @ ( sK10_SY110 @ SV6 @ SV9 @ SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[214]) ).
thf(311,plain,
! [SV53: $i > $i > $o] :
( ( ( SV53 @ ( sK2_SY82 @ SV53 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV53 ) @ SV53 ) )
= $true )
| ( ( ( sK7_SY117 @ ( sK2_SY82 @ SV53 ) @ sK3_SY95 @ SV53
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(rename,[status(thm)],[277]) ).
thf(312,plain,
! [SV53: $i > $i > $o] :
( ( ( ( ( sK7_SY117 @ ( sK2_SY82 @ SV53 ) @ sK3_SY95 @ SV53
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= ( sK1_SX0 = sK3_SY95 ) )
= $false )
| ( ( SV53 @ ( sK2_SY82 @ SV53 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV53 ) @ SV53 ) )
= $true ) ),
inference(res,[status(thm)],[311,24]) ).
thf(313,plain,
! [SV53: $i > $i > $o] :
( ( ( ( SV53 @ ( sK2_SY82 @ SV53 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV53 ) @ SV53 ) )
= ( sK1_SX0 = sK3_SY95 ) )
= $false )
| ( ( ( sK7_SY117 @ ( sK2_SY82 @ SV53 ) @ sK3_SY95 @ SV53
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(res,[status(thm)],[311,24]) ).
thf(315,plain,
( ( $false = $true )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : $false
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(prim_subst,[status(thm)],[311:[bind(SV53,$thf( ^ [SV69: $i] : ^ [SV70: $i] : $false ))]]) ).
thf(316,plain,
( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : $false
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ),
inference(sim,[status(thm)],[315]) ).
thf(317,plain,
! [SV68: $i > $i > $o] :
( ( ( ~ ( SV68
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV68 @ SX0 @ SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV68 @ SX0 @ SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV68 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV68 @ SX0 @ SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
~ ( SV68 @ SX0 @ SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(prim_subst,[status(thm)],[311:[bind(SV53,$thf( ^ [SV66: $i] : ^ [SV67: $i] : ~ ( SV68 @ SV66 @ SV67 ) ))]]) ).
thf(318,plain,
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(prim_subst,[status(thm)],[311:[bind(SV53,$thf( ^ [SY163: $i] : ^ [SY164: $i] : ( SY163 != SY164 ) ))]]) ).
thf(319,plain,
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(prim_subst,[status(thm)],[311:[bind(SV53,$thf( ^ [SV65: $i] : ^ [SV64: $i] : ( SV65 = SV64 ) ))]]) ).
thf(320,plain,
! [SV63: $i > $i > $o,SV62: $i > $i > $o] :
( ( ( ( SV62
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) ) )
| ( SV63
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(prim_subst,[status(thm)],[311:[bind(SV53,$thf( ^ [SV60: $i] : ^ [SV61: $i] : ( ( SV62 @ SV60 @ SV61 ) | ( SV63 @ SV60 @ SV61 ) ) ))]]) ).
thf(321,plain,
! [SV59: $i > $i > $i,SV58: $i > $i > $i] :
( ( ( ( SV58
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV58 @ SX0 @ SX1 )
= ( SV59 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV58 @ SX0 @ SX1 )
= ( SV59 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV58 @ SX0 @ SX1 )
= ( SV59 @ SX0 @ SX1 ) ) ) )
= ( SV59
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV58 @ SX0 @ SX1 )
= ( SV59 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV58 @ SX0 @ SX1 )
= ( SV59 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV58 @ SX0 @ SX1 )
= ( SV59 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV58 @ SX0 @ SX1 )
= ( SV59 @ SX0 @ SX1 ) ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( ( SV58 @ SX0 @ SX1 )
= ( SV59 @ SX0 @ SX1 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(prim_subst,[status(thm)],[311:[bind(SV53,$thf( ^ [SV56: $i] : ^ [SV57: $i] : ( ( SV58 @ SV56 @ SV57 ) = ( SV59 @ SV56 @ SV57 ) ) ))]]) ).
thf(322,plain,
! [SV53: $i > $i > $o] :
( ( ( SV53 @ ( sK2_SY82 @ SV53 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV53 ) @ SV53 ) )
= $true )
| ( ( ( SV53 @ ( sK2_SY82 @ SV53 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV53 ) @ SV53 ) )
= ( ( sK7_SY117 @ ( sK2_SY82 @ SV53 ) @ sK3_SY95 @ SV53
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[311]) ).
thf(323,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX1 = SX1 ) ))]]) ).
thf(324,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(325,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX1 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_SY95 = SX1 ) ))]]) ).
thf(326,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX1 = SX0 ) ))]]) ).
thf(327,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX0 ) ))]]) ).
thf(328,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX0 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_SY95 = SX0 ) ))]]) ).
thf(329,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK1_SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK1_SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK1_SX0 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK1_SX0 ) )
= sK3_SY95 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX1 = sK1_SX0 ) ))]]) ).
thf(330,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = sK1_SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 = sK1_SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = sK1_SX0 ) )
= sK3_SY95 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = sK1_SX0 ) ))]]) ).
thf(331,plain,
( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = sK1_SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = sK1_SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_SY95 = sK1_SX0 ) ))]]) ).
thf(332,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX1 = SX1 ) ))]]) ).
thf(333,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX1 = SX0 ) ))]]) ).
thf(334,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK3_SY95 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK3_SY95 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK3_SY95 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX1 = sK3_SY95 ) ))]]) ).
thf(335,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(336,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX0 ) ))]]) ).
thf(337,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = sK3_SY95 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 = sK3_SY95 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = sK3_SY95 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = sK3_SY95 ) ))]]) ).
thf(338,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK1_SX0 = SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK1_SX0 = SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK1_SX0 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( sK1_SX0 = SX1 ) )
= sK3_SY95 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK1_SX0 = SX1 ) ))]]) ).
thf(339,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK1_SX0 = SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK1_SX0 = SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK1_SX0 = SX0 ) )
= sK3_SY95 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK1_SX0 = SX0 ) ))]]) ).
thf(340,plain,
( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK1_SX0 = sK3_SY95 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK1_SX0 = sK3_SY95 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK1_SX0 = sK3_SY95 ) ))]]) ).
thf(341,plain,
! [SV78: $i > $i > $i,SV77: $i > $i > $i] :
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( SV77
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) ) )
= ( SV78
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_SX0 = sK3_SY95 )
= $true ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( ( SV77 @ SX0 @ SX1 ) = ( SV78 @ SX0 @ SX1 ) ) ))]]) ).
thf(342,plain,
! [SV78: $i > $i > $i,SV77: $i > $i > $i] :
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( SV77
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) ) )
= ( SV78
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV77 @ SX0 @ SX1 )
= ( SV78 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_SX0 = sK3_SY95 )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( ( SV77 @ SX0 @ SX1 ) = ( SV78 @ SX0 @ SX1 ) ) ))]]) ).
thf(343,plain,
! [SV53: $i > $i > $o] :
( ( ( SV53 @ ( sK2_SY82 @ SV53 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV53 ) @ SV53 ) )
= $true )
| ( ( ( sK7_SY117 @ ( sK2_SY82 @ SV53 ) @ sK3_SY95 @ SV53
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $false )
| ( ( sK3_SY95 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[312]) ).
thf(344,plain,
! [SV53: $i > $i > $o] :
( ( ( SV53 @ ( sK2_SY82 @ SV53 ) @ ( sK5_SY110 @ ( sK2_SY82 @ SV53 ) @ SV53 ) )
= $true )
| ( ( ( sK7_SY117 @ ( sK2_SY82 @ SV53 ) @ sK3_SY95 @ SV53
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[312]) ).
thf(345,plain,
! [SV124: $i > $i > $i > $o,SV123: $i > $i > $i > $i > $o,SV122: $i > $i > $i,SV121: $i > $i > $i] :
( ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
= sK3_SY95 )
= $false )
| ( ( ( sK7_SY117
@ ( SV121
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV122
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV123
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV124
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
= ( sK7_SY117
@ ( SV121
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV122
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV123
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV124
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX1 = ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(346,plain,
! [SV124: $i > $i > $i > $o,SV123: $i > $i > $i > $i > $o,SV122: $i > $i > $i,SV121: $i > $i > $i] :
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
= sK3_SY95 )
= $false )
| ( ( ( sK7_SY117
@ ( SV121
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV122
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV123
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV124
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
= ( sK7_SY117
@ ( SV121
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV122
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV123
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV124
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(347,plain,
! [SV124: $i > $i > $i > $o,SV123: $i > $i > $i > $i > $o,SV122: $i > $i > $i,SV121: $i > $i > $i] :
( ( ( ( sK7_SY117
@ ( SV121
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV122
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV123
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV124
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( sK3_SY95
= ( sK7_SY117
@ ( SV121
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV122
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV123
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) )
@ ( SV124
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) )
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY95
= ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_SY95 = ( sK7_SY117 @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) @ ( SV124 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(349,plain,
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(350,plain,
( ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX1 ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( sK3_SY95
= ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_SY95 = SX1 ) ))]]) ).
thf(351,plain,
( ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
= ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX1 = SX0 ) ))]]) ).
thf(353,plain,
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX0 ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( sK3_SY95
= ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_SY95 = SX0 ) ))]]) ).
thf(354,plain,
! [SV771: $i > $i > $i > $o,SV770: $i > $i > $i > $i > $o,SV769: $i > $i > $i,SV768: $i > $i > $i] :
( ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK7_SY117
@ ( SV768
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV769
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV770
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV771
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK7_SY117
@ ( SV768
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV769
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV770
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV771
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) ) = SX1 ) ))]]) ).
thf(355,plain,
! [SV771: $i > $i > $i > $o,SV770: $i > $i > $i > $i > $o,SV769: $i > $i > $i,SV768: $i > $i > $i] :
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK7_SY117
@ ( SV768
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV769
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV770
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV771
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK7_SY117
@ ( SV768
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV769
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV770
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV771
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) ) = SX0 ) ))]]) ).
thf(356,plain,
! [SV771: $i > $i > $i > $o,SV770: $i > $i > $i > $i > $o,SV769: $i > $i > $i,SV768: $i > $i > $i] :
( ( ( ( sK7_SY117
@ ( SV768
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) ) )
@ ( SV769
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) ) )
@ ( SV770
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) ) )
@ ( SV771
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) ) ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK7_SY117
@ ( SV768
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) ) )
@ ( SV769
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) ) )
@ ( SV770
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) ) )
@ ( SV771
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] :
( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) )
= sK3_SY95 ) ) ) )
= sK3_SY95 )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( ( sK7_SY117 @ ( SV768 @ SX0 @ SX1 ) @ ( SV769 @ SX0 @ SX1 ) @ ( SV770 @ SX0 @ SX1 ) @ ( SV771 @ SX0 @ SX1 ) ) = sK3_SY95 ) ))]]) ).
thf(358,plain,
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
= ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX1 = SX0 ) ))]]) ).
thf(359,plain,
( ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK3_SY95 ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK3_SY95 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK3_SY95 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK3_SY95 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX1 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX1 = sK3_SY95 ) ))]]) ).
thf(360,plain,
( ( ( ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= sK3_SY95 )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(362,plain,
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = sK3_SY95 ) )
= ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = sK3_SY95 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 = sK3_SY95 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) ) )
= $false )
| ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = sK3_SY95 ) ))]]) ).
thf(363,plain,
! [SV116: $i > $i > $i,SV115: $i > $i > $i] :
( ( ( ( SV115
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) ) )
= ( SV116
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true )
| ( ( ( SV115
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) ) )
= ( SV116
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[322:[bind(SV53,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( ( SV115 @ SX0 @ SX1 ) = ( SV116 @ SX0 @ SX1 ) ) ))]]) ).
thf(365,plain,
! [SV68: $i > $i > $o] :
( ( ( SV68
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV68 @ SX0 @ SX1 ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV68 @ SX0 @ SX1 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV68 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
~ ( SV68 @ SX0 @ SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
~ ( SV68 @ SX0 @ SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(366,plain,
( ( ( ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(367,plain,
! [SV63: $i > $i > $o,SV62: $i > $i > $o] :
( ( ( SV62
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV63
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( ( SV62 @ SX0 @ SX1 )
| ( SV63 @ SX0 @ SX1 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(368,plain,
! [SV116: $i > $i > $i,SV115: $i > $i > $i] :
( ( ( ( SV115
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) ) )
= ( SV116
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ( sK5_SY110
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] :
( ( SV115 @ SX0 @ SX1 )
= ( SV116 @ SX0 @ SX1 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $true ) ),
inference(sim,[status(thm)],[363]) ).
thf(369,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : $false
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= ( sK1_SX0 = sK3_SY95 ) )
= $false ),
inference(res,[status(thm)],[316,24]) ).
thf(370,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : $false
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $false )
| ( ( sK3_SY95 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[369]) ).
thf(371,plain,
( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : $false
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK1_SX0 )
= $false ),
inference(extuni,[status(esa)],[369]) ).
thf(372,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = sK1_SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = sK1_SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= ( sK1_SX0 = sK3_SY95 ) )
= $false ),
inference(res,[status(thm)],[331,24]) ).
thf(373,plain,
( ( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = sK1_SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = sK1_SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK3_SY95 )
= $false )
| ( ( sK3_SY95 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[372]) ).
thf(374,plain,
( ( ( sK7_SY117
@ ( sK2_SY82
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = sK1_SX0 ) )
@ sK3_SY95
@ ^ [SX0: $i,SX1: $i] : ( sK3_SY95 = sK1_SX0 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY95 ) )
= sK1_SX0 )
= $false ),
inference(extuni,[status(esa)],[372]) ).
thf(375,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,374,373,371,370,368,367,366,365,362,360,359,358,356,355,354,353,351,350,349,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,321,319,316,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,284,283,280,279,278,276,273,272,268,266,265,264,261,259,258,256,255,251,245,230,225,224,213,163,143,138,137,127,118,109,103,90]) ).
thf(376,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU482^1 : TPTP v9.3.1. Bugfixed v3.7.0.
% 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
% 0.10/0.18 % Computer : n008.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Oct 6 15:26:14 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 191.01/32.11
% 191.01/32.11 No.of.Axioms: 1
% 191.01/32.11
% 191.01/32.11 Length.of.Defs: 5096
% 191.01/32.11
% 191.01/32.11 Contains.Choice.Funs: false
% 191.01/32.11 ........eprover: CPU time limit exceeded, terminating
% 191.01/32.11 ..........................
% 191.01/32.11
% 191.01/32.11 ********************************
% 191.01/32.11 * All subproblems solved! *
% 191.01/32.11 ********************************
% 191.01/32.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,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:375,loop_count:5,foatp_calls:3,translation:fof_full)
% 191.01/32.11
% 191.01/32.11 %**** Beginning of derivation protocol ****
% 191.01/32.11 % SZS output start CNFRefutation
% See solution above
% 191.01/32.12
% 191.01/32.12 %**** End of derivation protocol ****
% 191.01/32.12 %**** no. of clauses in derivation: 317 ****
% 191.01/32.12 %**** clause counter: 375 ****
% 191.01/32.12
% 191.01/32.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,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:375,loop_count:5,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------