%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV084^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 10:49:30 AM UTC 2026
% Result : Theorem 10.91s 2.06s
% Output : CNFRefutation 10.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 1
% Syntax : Number of formulae : 829 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 15890 (6085 equ; 0 cnn)
% Maximal formula atoms : 6 ( 19 avg)
% Number of connectives : 11605 (3686 ~;4534 |; 20 &;3360 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3501 (3501 >; 0 *; 0 +; 0 <<)
% Number of symbols : 225 ( 222 usr; 220 con; 0-2 aty)
% Number of variables : 4361 (3626 ^; 730 !; 5 ?;4361 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cP,type,
cP: $o ).
thf(tp_sK100_E,type,
sK100_E: $i ).
thf(tp_sK101_E,type,
sK101_E: $i ).
thf(tp_sK102_E,type,
sK102_E: $i ).
thf(tp_sK103_E,type,
sK103_E: $i ).
thf(tp_sK104_E,type,
sK104_E: $i ).
thf(tp_sK105_E,type,
sK105_E: $i ).
thf(tp_sK106_E,type,
sK106_E: $i ).
thf(tp_sK107_E,type,
sK107_E: $i ).
thf(tp_sK108_E,type,
sK108_E: $i ).
thf(tp_sK109_E,type,
sK109_E: $i ).
thf(tp_sK10_SV35,type,
sK10_SV35: $i ).
thf(tp_sK110_E,type,
sK110_E: $i ).
thf(tp_sK111_E,type,
sK111_E: $i ).
thf(tp_sK112_E,type,
sK112_E: $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_SV40,type,
sK11_SV40: $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_SV43,type,
sK12_SV43: $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_sK133_E,type,
sK133_E: $i ).
thf(tp_sK134_E,type,
sK134_E: $i ).
thf(tp_sK135_E,type,
sK135_E: $i ).
thf(tp_sK136_E,type,
sK136_E: $i ).
thf(tp_sK137_E,type,
sK137_E: $i ).
thf(tp_sK138_E,type,
sK138_E: $i ).
thf(tp_sK139_E,type,
sK139_E: $i ).
thf(tp_sK13_SV46,type,
sK13_SV46: $i ).
thf(tp_sK140_E,type,
sK140_E: $i ).
thf(tp_sK141_E,type,
sK141_E: $i ).
thf(tp_sK142_E,type,
sK142_E: $i ).
thf(tp_sK143_E,type,
sK143_E: $i ).
thf(tp_sK144_E,type,
sK144_E: $i ).
thf(tp_sK145_E,type,
sK145_E: $i ).
thf(tp_sK146_E,type,
sK146_E: $i ).
thf(tp_sK147_E,type,
sK147_E: $i ).
thf(tp_sK148_E,type,
sK148_E: $i ).
thf(tp_sK149_E,type,
sK149_E: $i ).
thf(tp_sK14_SV51,type,
sK14_SV51: $i ).
thf(tp_sK150_E,type,
sK150_E: $i ).
thf(tp_sK151_E,type,
sK151_E: $i ).
thf(tp_sK152_E,type,
sK152_E: $i ).
thf(tp_sK153_E,type,
sK153_E: $i ).
thf(tp_sK154_E,type,
sK154_E: $i ).
thf(tp_sK155_E,type,
sK155_E: $i ).
thf(tp_sK156_E,type,
sK156_E: $i ).
thf(tp_sK157_E,type,
sK157_E: $i ).
thf(tp_sK158_E,type,
sK158_E: $i ).
thf(tp_sK159_E,type,
sK159_E: $i ).
thf(tp_sK15_SV54,type,
sK15_SV54: $i ).
thf(tp_sK160_E,type,
sK160_E: $i ).
thf(tp_sK161_E,type,
sK161_E: $i ).
thf(tp_sK162_E,type,
sK162_E: $i ).
thf(tp_sK163_E,type,
sK163_E: $i ).
thf(tp_sK164_E,type,
sK164_E: $i ).
thf(tp_sK165_E,type,
sK165_E: $i ).
thf(tp_sK166_E,type,
sK166_E: $i ).
thf(tp_sK167_E,type,
sK167_E: $i ).
thf(tp_sK168_E,type,
sK168_E: $i ).
thf(tp_sK169_E,type,
sK169_E: $i ).
thf(tp_sK16_SV59,type,
sK16_SV59: $i ).
thf(tp_sK170_E,type,
sK170_E: $i ).
thf(tp_sK171_E,type,
sK171_E: $i ).
thf(tp_sK172_E,type,
sK172_E: $i ).
thf(tp_sK173_E,type,
sK173_E: $i ).
thf(tp_sK174_E,type,
sK174_E: $i ).
thf(tp_sK175_E,type,
sK175_E: $i ).
thf(tp_sK176_E,type,
sK176_E: $i ).
thf(tp_sK177_E,type,
sK177_E: $i ).
thf(tp_sK178_E,type,
sK178_E: $i ).
thf(tp_sK179_E,type,
sK179_E: $i ).
thf(tp_sK17_SV63,type,
sK17_SV63: $i ).
thf(tp_sK180_E,type,
sK180_E: $i ).
thf(tp_sK181_E,type,
sK181_E: $i ).
thf(tp_sK182_E,type,
sK182_E: $i ).
thf(tp_sK183_E,type,
sK183_E: $i ).
thf(tp_sK184_E,type,
sK184_E: $i ).
thf(tp_sK185_E,type,
sK185_E: $i ).
thf(tp_sK186_E,type,
sK186_E: $i ).
thf(tp_sK187_E,type,
sK187_E: $i ).
thf(tp_sK188_E,type,
sK188_E: $i ).
thf(tp_sK189_E,type,
sK189_E: $i ).
thf(tp_sK18_SV65,type,
sK18_SV65: $i ).
thf(tp_sK190_E,type,
sK190_E: $i ).
thf(tp_sK191_E,type,
sK191_E: $i ).
thf(tp_sK192_E,type,
sK192_E: $i ).
thf(tp_sK193_E,type,
sK193_E: $i ).
thf(tp_sK194_E,type,
sK194_E: $i ).
thf(tp_sK195_E,type,
sK195_E: $i ).
thf(tp_sK196_E,type,
sK196_E: $i ).
thf(tp_sK197_E,type,
sK197_E: $i ).
thf(tp_sK198_E,type,
sK198_E: $i ).
thf(tp_sK199_E,type,
sK199_E: $i ).
thf(tp_sK19_SV69,type,
sK19_SV69: $i ).
thf(tp_sK1_SY9,type,
sK1_SY9: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK200_E,type,
sK200_E: $i ).
thf(tp_sK201_E,type,
sK201_E: $i ).
thf(tp_sK202_E,type,
sK202_E: $i ).
thf(tp_sK203_E,type,
sK203_E: $i ).
thf(tp_sK204_E,type,
sK204_E: $i ).
thf(tp_sK205_E,type,
sK205_E: $i ).
thf(tp_sK206_E,type,
sK206_E: $i ).
thf(tp_sK207_E,type,
sK207_E: $i ).
thf(tp_sK208_E,type,
sK208_E: $i ).
thf(tp_sK209_E,type,
sK209_E: $i ).
thf(tp_sK20_SV72,type,
sK20_SV72: $i ).
thf(tp_sK210_E,type,
sK210_E: $i ).
thf(tp_sK211_E,type,
sK211_E: $i ).
thf(tp_sK212_E,type,
sK212_E: $i ).
thf(tp_sK213_E,type,
sK213_E: $i ).
thf(tp_sK214_E,type,
sK214_E: $i ).
thf(tp_sK215_E,type,
sK215_E: $i ).
thf(tp_sK216_E,type,
sK216_E: $i ).
thf(tp_sK217_E,type,
sK217_E: $i ).
thf(tp_sK218_E,type,
sK218_E: $i ).
thf(tp_sK219_E,type,
sK219_E: $i ).
thf(tp_sK21_SV74,type,
sK21_SV74: $i ).
thf(tp_sK220_E,type,
sK220_E: $i ).
thf(tp_sK221_E,type,
sK221_E: $i ).
thf(tp_sK22_SV78,type,
sK22_SV78: $i ).
thf(tp_sK23_SV79,type,
sK23_SV79: $i ).
thf(tp_sK24_SV83,type,
sK24_SV83: $i ).
thf(tp_sK25_SV85,type,
sK25_SV85: $i ).
thf(tp_sK26_SV89,type,
sK26_SV89: $i ).
thf(tp_sK27_SV91,type,
sK27_SV91: $i ).
thf(tp_sK28_SV92,type,
sK28_SV92: $i ).
thf(tp_sK29_SV95,type,
sK29_SV95: $i ).
thf(tp_sK2_SY10,type,
sK2_SY10: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK30_SV96,type,
sK30_SV96: $i ).
thf(tp_sK31_SV97,type,
sK31_SV97: $i ).
thf(tp_sK32_SV100,type,
sK32_SV100: $i ).
thf(tp_sK33_SV101,type,
sK33_SV101: $i ).
thf(tp_sK34_SV103,type,
sK34_SV103: $i ).
thf(tp_sK35_SV105,type,
sK35_SV105: $i ).
thf(tp_sK36_SV106,type,
sK36_SV106: $i ).
thf(tp_sK37_SV107,type,
sK37_SV107: $i ).
thf(tp_sK38_SV108,type,
sK38_SV108: $i ).
thf(tp_sK39_SV113,type,
sK39_SV113: $i ).
thf(tp_sK3_SY13,type,
sK3_SY13: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK40_SV114,type,
sK40_SV114: $i ).
thf(tp_sK41_SV119,type,
sK41_SV119: $i ).
thf(tp_sK42_SV120,type,
sK42_SV120: $i ).
thf(tp_sK43_SV125,type,
sK43_SV125: $i ).
thf(tp_sK44_SV134,type,
sK44_SV134: $i ).
thf(tp_sK45_SV139,type,
sK45_SV139: $i ).
thf(tp_sK46_SV148,type,
sK46_SV148: $i ).
thf(tp_sK47_SV153,type,
sK47_SV153: $i ).
thf(tp_sK48_SV158,type,
sK48_SV158: $i ).
thf(tp_sK49_SV163,type,
sK49_SV163: $i ).
thf(tp_sK4_SY15,type,
sK4_SY15: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK50_SV168,type,
sK50_SV168: $i ).
thf(tp_sK51_SV173,type,
sK51_SV173: $i ).
thf(tp_sK52_SV178,type,
sK52_SV178: $i ).
thf(tp_sK53_SV183,type,
sK53_SV183: $i ).
thf(tp_sK54_SV192,type,
sK54_SV192: $i ).
thf(tp_sK55_SV201,type,
sK55_SV201: $i ).
thf(tp_sK56_SV206,type,
sK56_SV206: $i ).
thf(tp_sK57_E,type,
sK57_E: $i ).
thf(tp_sK58_E,type,
sK58_E: $i ).
thf(tp_sK59_E,type,
sK59_E: $i ).
thf(tp_sK5_SV15,type,
sK5_SV15: $i ).
thf(tp_sK60_E,type,
sK60_E: $i ).
thf(tp_sK61_E,type,
sK61_E: $i ).
thf(tp_sK62_E,type,
sK62_E: $i ).
thf(tp_sK63_E,type,
sK63_E: $i ).
thf(tp_sK64_E,type,
sK64_E: $i ).
thf(tp_sK65_E,type,
sK65_E: $i ).
thf(tp_sK66_E,type,
sK66_E: $i ).
thf(tp_sK67_E,type,
sK67_E: $i ).
thf(tp_sK68_E,type,
sK68_E: $i ).
thf(tp_sK69_E,type,
sK69_E: $i ).
thf(tp_sK6_SV16,type,
sK6_SV16: $i ).
thf(tp_sK70_E,type,
sK70_E: $i ).
thf(tp_sK71_E,type,
sK71_E: $i ).
thf(tp_sK72_E,type,
sK72_E: $i ).
thf(tp_sK73_E,type,
sK73_E: $i ).
thf(tp_sK74_E,type,
sK74_E: $i ).
thf(tp_sK75_E,type,
sK75_E: $i ).
thf(tp_sK76_E,type,
sK76_E: $i ).
thf(tp_sK77_E,type,
sK77_E: $i ).
thf(tp_sK78_E,type,
sK78_E: $i ).
thf(tp_sK79_E,type,
sK79_E: $i ).
thf(tp_sK7_SV21,type,
sK7_SV21: $i ).
thf(tp_sK80_E,type,
sK80_E: $i ).
thf(tp_sK81_E,type,
sK81_E: $i ).
thf(tp_sK82_E,type,
sK82_E: $i ).
thf(tp_sK83_E,type,
sK83_E: $i ).
thf(tp_sK84_E,type,
sK84_E: $i ).
thf(tp_sK85_E,type,
sK85_E: $i ).
thf(tp_sK86_E,type,
sK86_E: $i ).
thf(tp_sK87_E,type,
sK87_E: $i ).
thf(tp_sK88_E,type,
sK88_E: $i ).
thf(tp_sK89_E,type,
sK89_E: $i ).
thf(tp_sK8_SV26,type,
sK8_SV26: $i ).
thf(tp_sK90_E,type,
sK90_E: $i ).
thf(tp_sK91_E,type,
sK91_E: $i ).
thf(tp_sK92_E,type,
sK92_E: $i ).
thf(tp_sK93_E,type,
sK93_E: $i ).
thf(tp_sK94_E,type,
sK94_E: $i ).
thf(tp_sK95_E,type,
sK95_E: $i ).
thf(tp_sK96_E,type,
sK96_E: $i ).
thf(tp_sK97_E,type,
sK97_E: $i ).
thf(tp_sK98_E,type,
sK98_E: $i ).
thf(tp_sK99_E,type,
sK99_E: $i ).
thf(tp_sK9_SV32,type,
sK9_SV32: $i ).
thf(1,conjecture,
? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] :
( cP
| ~ cP )
@ ^ [Xx: $i] :
( cP
& ~ cP ) )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM120J_pme) ).
thf(2,negated_conjecture,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] :
( cP
| ~ cP )
@ ^ [Xx: $i] :
( cP
& ~ cP ) )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] :
( cP
| ~ cP )
@ ^ [Xx: $i] :
( cP
& ~ cP ) )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] :
( cP
| ~ cP )
@ ^ [Xx: $i] :
( cP
& ~ cP ) )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] :
( cP
| ~ cP )
@ ^ [Xx: $i] :
( cP
& ~ cP ) )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ~ ~ ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
~ ~ ( ~ ~ ( ~ ~ ( SX0
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
| ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
~ ~ ( ~ ~ ( ~ ~ ( SX0
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
| ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
~ ~ ( ~ ~ ( ~ ~ ( SX0
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
| ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
| ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ~ ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
| ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
| ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[11]) ).
thf(13,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) ) )
= $false )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(14,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(16,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $false )
| ( ( ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(17,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(19,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(20,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(21,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ ( sK2_SY10 @ SV1 ) @ SY14 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(22,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY15: $i > $o] :
( ~ ~ ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ SY15 ) )
| ( SV1 @ ( sK2_SY10 @ SV1 ) @ SY15 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(23,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
| ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[22]) ).
thf(24,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(25,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK4_SY15 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(26,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(27,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(28,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(29,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(31,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] :
( cP
| ~ cP )
@ ^ [SX1: $i] :
~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(32,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[25:[bind(SV1,$thf( ^ [SV3: $i > $o] : ^ [SV2: $i > $o] : ( SV3 = SV2 ) ))]]) ).
thf(33,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(sim,[status(thm)],[32]) ).
thf(34,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[30:[bind(SV1,$thf( ^ [SV5: $i > $o] : ^ [SV4: $i > $o] : ( SV5 = SV4 ) ))]]) ).
thf(35,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(sim,[status(thm)],[34]) ).
thf(36,plain,
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[31:[bind(SV1,$thf( ^ [SV7: $i > $o] : ^ [SV6: $i > $o] : ( SV7 = SV6 ) ))]]) ).
thf(37,plain,
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(sim,[status(thm)],[36]) ).
thf(38,plain,
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[35]) ).
thf(39,plain,
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[37]) ).
thf(40,plain,
! [SV8: $i] :
( ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV9: $i] :
( ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV10: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[33]) ).
thf(43,plain,
! [SV11: $i,SV12: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV13: $i,SV14: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[37]) ).
thf(46,plain,
! [SV8: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV9: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[41]) ).
thf(50,plain,
! [SV10: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[42]) ).
thf(52,plain,
! [SV11: $i,SV12: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[43]) ).
thf(54,plain,
! [SV13: $i,SV14: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[44]) ).
thf(55,plain,
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(56,plain,
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(58,plain,
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(59,plain,
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(61,plain,
( ( ( ! [SV15: $i] :
( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV15 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV15 ) ) )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[50]) ).
thf(62,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[50]) ).
thf(65,plain,
! [SV12: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(66,plain,
! [SV12: $i] :
( ( ( ~ cP ) = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(68,plain,
! [SV14: $i] :
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(69,plain,
! [SV14: $i] :
( ( ( ~ cP ) = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(71,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(72,plain,
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(74,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(75,plain,
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(77,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[61]) ).
thf(78,plain,
( ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(79,plain,
( ( ( ~ cP ) = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(82,plain,
! [SV12: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(83,plain,
! [SV12: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(85,plain,
! [SV14: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(86,plain,
! [SV14: $i] :
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(89,plain,
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(90,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(93,plain,
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(94,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(96,plain,
( ( ( ~ ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
| ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) ) )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[77]) ).
thf(98,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(99,plain,
( ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(104,plain,
! [SV12: $i] :
( ( ( ~ ~ cP )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(105,plain,
! [SV12: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(108,plain,
! [SV14: $i] :
( ( ( ~ ~ cP )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(109,plain,
! [SV14: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(112,plain,
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(113,plain,
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(117,plain,
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(118,plain,
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(121,plain,
( ( ( ~ ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) ) )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(122,plain,
( ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) ) )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(126,plain,
( ( ( ~ ~ cP )
= $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(127,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(133,plain,
! [SV12: $i] :
( ( ( ~ cP ) = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(134,plain,
! [SV12: $i] :
( ( ( ~ cP ) = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(138,plain,
! [SV14: $i] :
( ( ( ~ cP ) = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(139,plain,
! [SV14: $i] :
( ( ( ~ cP ) = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(144,plain,
( ( cP = $false )
| ( cP = $false )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(145,plain,
( ( cP = $true )
| ( cP = $true )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(150,plain,
( ( cP = $false )
| ( cP = $false )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(151,plain,
( ( cP = $true )
| ( cP = $true )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(154,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(155,plain,
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(159,plain,
( ( ( ~ cP ) = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(160,plain,
( ( ( ~ cP ) = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(166,plain,
! [SV12: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(167,plain,
! [SV12: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(170,plain,
! [SV14: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(171,plain,
! [SV14: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(176,plain,
( ( ( ~ ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
| ~ ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
!= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
!= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) ) )
= $false )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[144]) ).
thf(177,plain,
( ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[144]) ).
thf(178,plain,
( ( ( ~ ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
| ~ ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
!= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
!= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) ) )
= $false )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[145]) ).
thf(179,plain,
( ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[145]) ).
thf(184,plain,
( ( ( ~ ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
| ~ ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
!= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
!= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) ) )
= $false )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[150]) ).
thf(185,plain,
( ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[150]) ).
thf(186,plain,
( ( ( ~ ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
| ~ ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
!= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
!= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) ) )
= $false )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[151]) ).
thf(187,plain,
( ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $false )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[151]) ).
thf(190,plain,
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(191,plain,
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $true )
| ( ( ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(195,plain,
( ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(196,plain,
( ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(208,plain,
( ( ( ~ ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) ) )
= $false )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(210,plain,
( ( ( ~ ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) ) )
= $false )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(217,plain,
( ( ( ~ ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) ) )
= $false )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(219,plain,
( ( ( ~ ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) ) )
= $false )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(224,plain,
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(225,plain,
( ( ( ~ cP ) = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(226,plain,
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(240,plain,
( ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(242,plain,
( ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(250,plain,
( ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(252,plain,
( ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(258,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(259,plain,
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(260,plain,
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(271,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(273,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(282,plain,
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(284,plain,
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(291,plain,
( ( ( ~ ~ cP )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(292,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(293,plain,
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(294,plain,
( ( ( ~ cP ) = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(304,plain,
( ( ( ! [SV22: $i] :
( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV22 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV22 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[271]) ).
thf(305,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[271]) ).
thf(307,plain,
( ( ( ! [SV23: $i] :
( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV23 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV23 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[273]) ).
thf(308,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[273]) ).
thf(319,plain,
( ( ( ! [SV27: $i] :
( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[282]) ).
thf(320,plain,
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[282]) ).
thf(322,plain,
( ( ( ! [SV28: $i] :
( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV28 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV28 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[284]) ).
thf(323,plain,
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[284]) ).
thf(330,plain,
( ( ( ~ cP ) = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(331,plain,
( ( ( ~ cP ) = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(333,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(334,plain,
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(343,plain,
! [SV30: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(344,plain,
( ( ( ! [SV31: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[305]) ).
thf(345,plain,
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[305]) ).
thf(348,plain,
! [SV33: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(349,plain,
( ( ( ! [SV34: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[308]) ).
thf(350,plain,
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[308]) ).
thf(363,plain,
! [SV38: $i] :
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(364,plain,
( ( ( ! [SV39: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[320]) ).
thf(365,plain,
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[320]) ).
thf(368,plain,
! [SV41: $i] :
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(369,plain,
( ( ( ! [SV42: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[323]) ).
thf(370,plain,
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[323]) ).
thf(378,plain,
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(379,plain,
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(382,plain,
( ( ( ~ ~ cP )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(383,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(395,plain,
! [SV30: $i] :
( ( ( ~ ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
| ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
| ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[343]) ).
thf(396,plain,
! [SV30: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[343]) ).
thf(397,plain,
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(400,plain,
! [SV33: $i] :
( ( ( ~ ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
| ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
| ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[348]) ).
thf(401,plain,
! [SV33: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[348]) ).
thf(402,plain,
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(422,plain,
! [SV38: $i] :
( ( ( ~ ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
| ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[363]) ).
thf(423,plain,
! [SV38: $i] :
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[363]) ).
thf(424,plain,
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(427,plain,
! [SV41: $i] :
( ( ( ~ ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
| ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[368]) ).
thf(428,plain,
! [SV41: $i] :
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[368]) ).
thf(429,plain,
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(442,plain,
( ( ( ~ cP ) = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(443,plain,
( ( ( ~ cP ) = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(454,plain,
! [SV30: $i] :
( ( ( ~ ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
| ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(455,plain,
! [SV30: $i] :
( ( ( ! [SV62: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[396]) ).
thf(456,plain,
! [SV30: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[396]) ).
thf(457,plain,
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[397]) ).
thf(458,plain,
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[397]) ).
thf(463,plain,
! [SV33: $i] :
( ( ( ~ ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
| ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(464,plain,
! [SV33: $i] :
( ( ( ! [SV64: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[401]) ).
thf(465,plain,
! [SV33: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[401]) ).
thf(466,plain,
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[402]) ).
thf(467,plain,
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[402]) ).
thf(489,plain,
! [SV38: $i] :
( ( ( ~ ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(490,plain,
! [SV38: $i] :
( ( ( ! [SV71: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[423]) ).
thf(491,plain,
! [SV38: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[423]) ).
thf(492,plain,
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[424]) ).
thf(493,plain,
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[424]) ).
thf(498,plain,
! [SV41: $i] :
( ( ( ~ ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(499,plain,
! [SV41: $i] :
( ( ( ! [SV73: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[428]) ).
thf(500,plain,
! [SV41: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[428]) ).
thf(501,plain,
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[429]) ).
thf(502,plain,
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[429]) ).
thf(517,plain,
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(518,plain,
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(533,plain,
! [SV30: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
| ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(534,plain,
! [SV30: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(535,plain,
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(540,plain,
! [SV33: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
| ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(541,plain,
! [SV33: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(542,plain,
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(572,plain,
! [SV38: $i] :
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(573,plain,
! [SV38: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(574,plain,
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(579,plain,
! [SV41: $i] :
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(580,plain,
! [SV41: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(581,plain,
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(612,plain,
! [SV30: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(613,plain,
! [SV30: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(614,plain,
! [SV30: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(615,plain,
! [SV30: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(616,plain,
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(623,plain,
! [SV33: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(624,plain,
! [SV33: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(625,plain,
! [SV33: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[541]) ).
thf(626,plain,
! [SV33: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[541]) ).
thf(627,plain,
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(660,plain,
! [SV38: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[572]) ).
thf(661,plain,
! [SV38: $i] :
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[572]) ).
thf(662,plain,
! [SV38: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(663,plain,
! [SV38: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(664,plain,
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(671,plain,
! [SV41: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(672,plain,
! [SV41: $i] :
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(673,plain,
! [SV41: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[580]) ).
thf(674,plain,
! [SV41: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[580]) ).
thf(675,plain,
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(713,plain,
! [SV30: $i] :
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(714,plain,
! [SV30: $i] :
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(715,plain,
! [SV30: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(716,plain,
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(723,plain,
! [SV33: $i] :
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(724,plain,
! [SV33: $i] :
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(725,plain,
! [SV33: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(726,plain,
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(765,plain,
! [SV38: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(766,plain,
! [SV38: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(767,plain,
! [SV38: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(768,plain,
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(775,plain,
! [SV41: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(776,plain,
! [SV41: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(777,plain,
! [SV41: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(778,plain,
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(820,plain,
! [SV30: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(821,plain,
! [SV30: $i] :
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(823,plain,
! [SV30: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(824,plain,
( ( cP = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(834,plain,
! [SV33: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(835,plain,
! [SV33: $i] :
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(837,plain,
! [SV33: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(839,plain,
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(885,plain,
! [SV38: $i] :
( ( ( ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(886,plain,
! [SV38: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(888,plain,
! [SV38: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(889,plain,
( ( cP = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(899,plain,
! [SV41: $i] :
( ( ( ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(900,plain,
! [SV41: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(902,plain,
! [SV41: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(904,plain,
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(955,plain,
! [SV30: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(956,plain,
! [SV30: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(958,plain,
! [SV30: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(960,plain,
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(971,plain,
! [SV33: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[834]) ).
thf(972,plain,
! [SV33: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(974,plain,
! [SV33: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(977,plain,
( ( cP = $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(1032,plain,
! [SV38: $i] :
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[885]) ).
thf(1033,plain,
! [SV38: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[886]) ).
thf(1035,plain,
! [SV38: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(1037,plain,
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(1048,plain,
! [SV41: $i] :
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[899]) ).
thf(1049,plain,
! [SV41: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[900]) ).
thf(1051,plain,
! [SV41: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(1054,plain,
( ( cP = $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(1110,plain,
! [SV30: $i] :
( ( ( ! [SV127: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[955]) ).
thf(1111,plain,
! [SV30: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[955]) ).
thf(1112,plain,
! [SV30: $i] :
( ( ( ! [SV128: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(1113,plain,
! [SV30: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(1116,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[958]) ).
thf(1120,plain,
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1131,plain,
! [SV33: $i] :
( ( ( ! [SV131: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[971]) ).
thf(1132,plain,
! [SV33: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[971]) ).
thf(1133,plain,
! [SV33: $i] :
( ( ( ! [SV132: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[972]) ).
thf(1134,plain,
! [SV33: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[972]) ).
thf(1138,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1142,plain,
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1203,plain,
! [SV38: $i] :
( ( ( ! [SV141: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1032]) ).
thf(1204,plain,
! [SV38: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1032]) ).
thf(1205,plain,
! [SV38: $i] :
( ( ( ! [SV142: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1206,plain,
! [SV38: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1209,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1213,plain,
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1224,plain,
! [SV41: $i] :
( ( ( ! [SV145: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1048]) ).
thf(1225,plain,
! [SV41: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1048]) ).
thf(1226,plain,
! [SV41: $i] :
( ( ( ! [SV146: $i] :
( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1049]) ).
thf(1227,plain,
! [SV41: $i] :
( ( ( ( ^ [SX0: $i] :
( cP
| ~ cP ) )
= ( ^ [SX0: $i] :
~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1049]) ).
thf(1231,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1235,plain,
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1299,plain,
! [SV30: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1110]) ).
thf(1300,plain,
! [SV30: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1302,plain,
! [SV30: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1306,plain,
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1120]) ).
thf(1320,plain,
! [SV33: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1321,plain,
! [SV33: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1324,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1329,plain,
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1142]) ).
thf(1403,plain,
! [SV38: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1404,plain,
! [SV38: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1205]) ).
thf(1406,plain,
! [SV38: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1410,plain,
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1213]) ).
thf(1424,plain,
! [SV41: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1425,plain,
! [SV41: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1428,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1433,plain,
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1509,plain,
! [SV30: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1299]) ).
thf(1510,plain,
! [SV30: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1299]) ).
thf(1511,plain,
! [SV30: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1300]) ).
thf(1512,plain,
! [SV30: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1300]) ).
thf(1516,plain,
! [SV30: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1520,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1306]) ).
thf(1534,plain,
! [SV33: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1320]) ).
thf(1535,plain,
! [SV33: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1320]) ).
thf(1536,plain,
! [SV33: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1321]) ).
thf(1537,plain,
! [SV33: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1321]) ).
thf(1542,plain,
! [SV33: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1547,plain,
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1329]) ).
thf(1627,plain,
! [SV38: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1403]) ).
thf(1628,plain,
! [SV38: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1403]) ).
thf(1629,plain,
! [SV38: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1404]) ).
thf(1630,plain,
! [SV38: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1404]) ).
thf(1634,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1638,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1652,plain,
! [SV41: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1424]) ).
thf(1653,plain,
! [SV41: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1424]) ).
thf(1654,plain,
! [SV41: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
| ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1425]) ).
thf(1655,plain,
! [SV41: $i] :
( ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1425]) ).
thf(1660,plain,
! [SV41: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1665,plain,
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1745,plain,
! [SV30: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1746,plain,
! [SV30: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1511]) ).
thf(1749,plain,
! [SV30: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1755,plain,
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1520]) ).
thf(1771,plain,
! [SV33: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1534]) ).
thf(1772,plain,
! [SV33: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1536]) ).
thf(1777,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1542]) ).
thf(1783,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1870,plain,
! [SV38: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1627]) ).
thf(1871,plain,
! [SV38: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1629]) ).
thf(1874,plain,
! [SV38: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1634]) ).
thf(1880,plain,
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1896,plain,
! [SV41: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1652]) ).
thf(1897,plain,
! [SV41: $i] :
( ( ( ~ ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(1902,plain,
! [SV41: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1660]) ).
thf(1908,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1665]) ).
thf(1998,plain,
! [SV30: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1999,plain,
! [SV30: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(2002,plain,
! [SV30: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1749]) ).
thf(2007,plain,
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1755]) ).
thf(2025,plain,
! [SV33: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(2026,plain,
! [SV33: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1772]) ).
thf(2031,plain,
! [SV33: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(2036,plain,
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1783]) ).
thf(2133,plain,
! [SV38: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1870]) ).
thf(2134,plain,
! [SV38: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1871]) ).
thf(2137,plain,
! [SV38: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1874]) ).
thf(2142,plain,
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1880]) ).
thf(2160,plain,
! [SV41: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(2161,plain,
! [SV41: $i] :
( ( ( cP
| ~ cP
| ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(2166,plain,
! [SV41: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1902]) ).
thf(2171,plain,
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1908]) ).
thf(2272,plain,
! [SV30: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1998]) ).
thf(2274,plain,
! [SV30: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2280,plain,
! [SV30: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2284,plain,
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2007]) ).
thf(2302,plain,
! [SV33: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2025]) ).
thf(2304,plain,
! [SV33: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2026]) ).
thf(2312,plain,
! [SV33: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2031]) ).
thf(2315,plain,
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2036]) ).
thf(2418,plain,
! [SV38: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2133]) ).
thf(2420,plain,
! [SV38: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2134]) ).
thf(2426,plain,
! [SV38: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2137]) ).
thf(2430,plain,
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2142]) ).
thf(2448,plain,
! [SV41: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2160]) ).
thf(2450,plain,
! [SV41: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2161]) ).
thf(2458,plain,
! [SV41: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2166]) ).
thf(2461,plain,
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2171]) ).
thf(2562,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2565,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2274]) ).
thf(2572,plain,
! [SV30: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2280]) ).
thf(2596,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2302]) ).
thf(2599,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2304]) ).
thf(2607,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2312]) ).
thf(2715,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2718,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2725,plain,
! [SV38: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2426]) ).
thf(2749,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2752,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2760,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2458]) ).
thf(2869,plain,
! [SV30: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2562]) ).
thf(2872,plain,
! [SV30: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2565]) ).
thf(2878,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2572]) ).
thf(2900,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2596]) ).
thf(2903,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2599]) ).
thf(2909,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2607]) ).
thf(3023,plain,
! [SV38: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2715]) ).
thf(3026,plain,
! [SV38: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2718]) ).
thf(3032,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2725]) ).
thf(3054,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2749]) ).
thf(3057,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( ~ ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2752]) ).
thf(3063,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2760]) ).
thf(3181,plain,
! [SV30: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2869]) ).
thf(3185,plain,
! [SV30: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2872]) ).
thf(3213,plain,
! [SV33: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2900]) ).
thf(3217,plain,
! [SV33: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2903]) ).
thf(3339,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3023]) ).
thf(3343,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3026]) ).
thf(3371,plain,
! [SV41: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3054]) ).
thf(3375,plain,
! [SV41: $i] :
( ( ( ~ ( cP
| ~ cP )
| ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3057]) ).
thf(3495,plain,
! [SV30: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3181]) ).
thf(3500,plain,
! [SV30: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3185]) ).
thf(3530,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3213]) ).
thf(3535,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3217]) ).
thf(3652,plain,
! [SV38: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3339]) ).
thf(3657,plain,
! [SV38: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3343]) ).
thf(3687,plain,
! [SV41: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3371]) ).
thf(3692,plain,
! [SV41: $i] :
( ( ( ~ ~ ( ~ cP
| ~ ~ cP ) )
= $false )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3375]) ).
thf(3810,plain,
! [SV30: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3495]) ).
thf(3815,plain,
! [SV30: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3500]) ).
thf(3842,plain,
! [SV33: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3530]) ).
thf(3847,plain,
! [SV33: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3535]) ).
thf(3965,plain,
! [SV38: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3652]) ).
thf(3970,plain,
! [SV38: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3657]) ).
thf(3997,plain,
! [SV41: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3687]) ).
thf(4002,plain,
! [SV41: $i] :
( ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3692]) ).
thf(4124,plain,
! [SV30: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3810]) ).
thf(4130,plain,
! [SV30: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3815]) ).
thf(4157,plain,
! [SV33: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3842]) ).
thf(4163,plain,
! [SV33: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3847]) ).
thf(4282,plain,
! [SV38: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3965]) ).
thf(4288,plain,
! [SV38: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3970]) ).
thf(4315,plain,
! [SV41: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3997]) ).
thf(4321,plain,
! [SV41: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4002]) ).
thf(4430,plain,
! [SV30: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4124]) ).
thf(4437,plain,
! [SV30: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4130]) ).
thf(4465,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[4157]) ).
thf(4472,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[4163]) ).
thf(4580,plain,
! [SV38: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4282]) ).
thf(4587,plain,
! [SV38: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4288]) ).
thf(4615,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[4315]) ).
thf(4622,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[4321]) ).
thf(4718,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4430]) ).
thf(4723,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4437]) ).
thf(4742,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[4465]) ).
thf(4747,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[4472]) ).
thf(4842,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4580]) ).
thf(4847,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4587]) ).
thf(4866,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[4615]) ).
thf(4871,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[4622]) ).
thf(5484,plain,
! [SV30: $i,SV225: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1111]) ).
thf(5485,plain,
! [SV30: $i,SV226: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1113]) ).
thf(5487,plain,
! [SV30: $i,SV228: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[456]) ).
thf(5490,plain,
! [SV231: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV231 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV231 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2284]) ).
thf(5497,plain,
! [SV238: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[458]) ).
thf(5498,plain,
! [SV239: $i,SV240: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[345]) ).
thf(5500,plain,
! [SV33: $i,SV242: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1132]) ).
thf(5501,plain,
! [SV33: $i,SV243: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1134]) ).
thf(5503,plain,
! [SV33: $i,SV245: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[465]) ).
thf(5508,plain,
! [SV250: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV250 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV250 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2315]) ).
thf(5513,plain,
! [SV255: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[467]) ).
thf(5514,plain,
! [SV256: $i,SV257: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[350]) ).
thf(5564,plain,
! [SV38: $i,SV310: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1204]) ).
thf(5565,plain,
! [SV38: $i,SV311: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1206]) ).
thf(5567,plain,
! [SV38: $i,SV313: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[491]) ).
thf(5570,plain,
! [SV316: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV316 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV316 ) )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2430]) ).
thf(5577,plain,
! [SV323: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[493]) ).
thf(5578,plain,
! [SV324: $i,SV325: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[365]) ).
thf(5580,plain,
! [SV41: $i,SV327: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1225]) ).
thf(5581,plain,
! [SV41: $i,SV328: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1227]) ).
thf(5583,plain,
! [SV41: $i,SV330: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[500]) ).
thf(5588,plain,
! [SV335: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV335 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV335 ) )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2461]) ).
thf(5593,plain,
! [SV340: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[502]) ).
thf(5594,plain,
! [SV341: $i,SV342: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 ) )
= $true )
| ( ( ( cP
| ~ cP )
= ( ~ ( ~ cP
| ~ ~ cP ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[370]) ).
thf(5692,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1510]) ).
thf(5694,plain,
! [SV30: $i,SV225: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5484]) ).
thf(5696,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1512]) ).
thf(5698,plain,
! [SV30: $i,SV226: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5485]) ).
thf(5707,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2878]) ).
thf(5708,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2878]) ).
thf(5722,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[615]) ).
thf(5724,plain,
! [SV30: $i,SV228: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5487]) ).
thf(5729,plain,
! [SV231: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV231 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV231 )
= $false )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5490]) ).
thf(5730,plain,
! [SV231: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV231 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV231 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5490]) ).
thf(5744,plain,
! [SV238: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5497]) ).
thf(5746,plain,
! [SV239: $i,SV240: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5498]) ).
thf(5752,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1535]) ).
thf(5754,plain,
! [SV33: $i,SV242: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5500]) ).
thf(5756,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1537]) ).
thf(5758,plain,
! [SV33: $i,SV243: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5501]) ).
thf(5771,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2909]) ).
thf(5772,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2909]) ).
thf(5782,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[626]) ).
thf(5784,plain,
! [SV33: $i,SV245: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5503]) ).
thf(5793,plain,
! [SV250: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV250 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV250 )
= $false )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5508]) ).
thf(5794,plain,
! [SV250: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV250 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV250 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5508]) ).
thf(5804,plain,
! [SV255: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5513]) ).
thf(5806,plain,
! [SV256: $i,SV257: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5514]) ).
thf(5992,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1628]) ).
thf(5994,plain,
! [SV38: $i,SV310: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5564]) ).
thf(5996,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1630]) ).
thf(5998,plain,
! [SV38: $i,SV311: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5565]) ).
thf(6007,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3032]) ).
thf(6008,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3032]) ).
thf(6022,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[663]) ).
thf(6024,plain,
! [SV38: $i,SV313: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5567]) ).
thf(6029,plain,
! [SV316: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV316 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV316 )
= $false )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5570]) ).
thf(6030,plain,
! [SV316: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV316 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV316 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5570]) ).
thf(6044,plain,
! [SV323: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5577]) ).
thf(6046,plain,
! [SV324: $i,SV325: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5578]) ).
thf(6052,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1653]) ).
thf(6054,plain,
! [SV41: $i,SV327: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5580]) ).
thf(6056,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1655]) ).
thf(6058,plain,
! [SV41: $i,SV328: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5581]) ).
thf(6071,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3063]) ).
thf(6072,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3063]) ).
thf(6082,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[674]) ).
thf(6084,plain,
! [SV41: $i,SV330: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5583]) ).
thf(6093,plain,
! [SV335: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV335 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV335 )
= $false )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5588]) ).
thf(6094,plain,
! [SV335: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV335 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV335 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5588]) ).
thf(6104,plain,
! [SV340: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5593]) ).
thf(6106,plain,
! [SV341: $i,SV342: $i] :
( ( ( cP
| ~ cP )
= $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[5594]) ).
thf(6269,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5692]) ).
thf(6272,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[5694]) ).
thf(6275,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5696]) ).
thf(6278,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[5698]) ).
thf(6287,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5722]) ).
thf(6290,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[5724]) ).
thf(6293,plain,
! [SV238: $i] :
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[5744]) ).
thf(6296,plain,
! [SV239: $i] :
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[5746]) ).
thf(6306,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5752]) ).
thf(6309,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[5754]) ).
thf(6312,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5756]) ).
thf(6315,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[5758]) ).
thf(6324,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5782]) ).
thf(6327,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[5784]) ).
thf(6330,plain,
! [SV255: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[5804]) ).
thf(6333,plain,
! [SV256: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[5806]) ).
thf(6449,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5992]) ).
thf(6452,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[5994]) ).
thf(6455,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5996]) ).
thf(6458,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[5998]) ).
thf(6467,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[6022]) ).
thf(6470,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6024]) ).
thf(6473,plain,
! [SV323: $i] :
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6044]) ).
thf(6476,plain,
! [SV324: $i] :
( ( cP = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6046]) ).
thf(6486,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[6052]) ).
thf(6489,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[6054]) ).
thf(6492,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[6056]) ).
thf(6495,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[6058]) ).
thf(6504,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[6082]) ).
thf(6507,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[6084]) ).
thf(6510,plain,
! [SV340: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[6104]) ).
thf(6513,plain,
! [SV341: $i] :
( ( ( ~ cP ) = $false )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[6106]) ).
thf(6629,plain,
! [SV30: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6269]) ).
thf(6632,plain,
! [SV30: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6272]) ).
thf(6635,plain,
! [SV30: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6275]) ).
thf(6638,plain,
! [SV30: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6278]) ).
thf(6647,plain,
! [SV30: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6287]) ).
thf(6650,plain,
! [SV30: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6290]) ).
thf(6653,plain,
! [SV238: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6293]) ).
thf(6656,plain,
! [SV239: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6296]) ).
thf(6666,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6306]) ).
thf(6669,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[6309]) ).
thf(6672,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6312]) ).
thf(6675,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[6315]) ).
thf(6684,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6324]) ).
thf(6687,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[6327]) ).
thf(6690,plain,
! [SV255: $i] :
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[6330]) ).
thf(6693,plain,
! [SV256: $i] :
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[6333]) ).
thf(6809,plain,
! [SV38: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6449]) ).
thf(6812,plain,
! [SV38: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6452]) ).
thf(6815,plain,
! [SV38: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6455]) ).
thf(6818,plain,
! [SV38: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6458]) ).
thf(6827,plain,
! [SV38: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6467]) ).
thf(6830,plain,
! [SV38: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6470]) ).
thf(6833,plain,
! [SV323: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6473]) ).
thf(6836,plain,
! [SV324: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[6476]) ).
thf(6846,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6486]) ).
thf(6849,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[6489]) ).
thf(6852,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6492]) ).
thf(6855,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[6495]) ).
thf(6864,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6504]) ).
thf(6867,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[6507]) ).
thf(6870,plain,
! [SV340: $i] :
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[6510]) ).
thf(6873,plain,
! [SV341: $i] :
( ( cP = $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[6513]) ).
thf(7004,plain,
! [SV30: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6629]) ).
thf(7008,plain,
! [SV30: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6632]) ).
thf(7012,plain,
! [SV30: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6635]) ).
thf(7016,plain,
! [SV30: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6638]) ).
thf(7028,plain,
! [SV30: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6647]) ).
thf(7032,plain,
! [SV30: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6650]) ).
thf(7036,plain,
! [SV238: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6653]) ).
thf(7040,plain,
! [SV239: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6656]) ).
thf(7053,plain,
! [SV33: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6666]) ).
thf(7057,plain,
! [SV33: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6669]) ).
thf(7061,plain,
! [SV33: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6672]) ).
thf(7065,plain,
! [SV33: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6675]) ).
thf(7077,plain,
! [SV33: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6684]) ).
thf(7081,plain,
! [SV33: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6687]) ).
thf(7085,plain,
! [SV255: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6690]) ).
thf(7089,plain,
! [SV256: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6693]) ).
thf(7244,plain,
! [SV38: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6809]) ).
thf(7248,plain,
! [SV38: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6812]) ).
thf(7252,plain,
! [SV38: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6815]) ).
thf(7256,plain,
! [SV38: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6818]) ).
thf(7268,plain,
! [SV38: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6827]) ).
thf(7272,plain,
! [SV38: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6830]) ).
thf(7276,plain,
! [SV323: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6833]) ).
thf(7280,plain,
! [SV324: $i] :
( ( ( ~ ~ cP )
= $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[6836]) ).
thf(7293,plain,
! [SV41: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6846]) ).
thf(7297,plain,
! [SV41: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6849]) ).
thf(7301,plain,
! [SV41: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6852]) ).
thf(7305,plain,
! [SV41: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6855]) ).
thf(7317,plain,
! [SV41: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6864]) ).
thf(7321,plain,
! [SV41: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6867]) ).
thf(7325,plain,
! [SV340: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6870]) ).
thf(7329,plain,
! [SV341: $i] :
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6873]) ).
thf(7498,plain,
! [SV30: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7004]) ).
thf(7503,plain,
! [SV30: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7008]) ).
thf(7508,plain,
! [SV30: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7012]) ).
thf(7513,plain,
! [SV30: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7016]) ).
thf(7528,plain,
! [SV30: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7028]) ).
thf(7533,plain,
! [SV30: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7032]) ).
thf(7538,plain,
! [SV238: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7036]) ).
thf(7543,plain,
! [SV239: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7040]) ).
thf(7559,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7053]) ).
thf(7564,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7057]) ).
thf(7569,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7061]) ).
thf(7574,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7065]) ).
thf(7589,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7077]) ).
thf(7594,plain,
! [SV33: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7081]) ).
thf(7599,plain,
! [SV255: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7085]) ).
thf(7604,plain,
! [SV256: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7089]) ).
thf(7798,plain,
! [SV38: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7244]) ).
thf(7803,plain,
! [SV38: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7248]) ).
thf(7808,plain,
! [SV38: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7252]) ).
thf(7813,plain,
! [SV38: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7256]) ).
thf(7828,plain,
! [SV38: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7268]) ).
thf(7833,plain,
! [SV38: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7272]) ).
thf(7838,plain,
! [SV323: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7276]) ).
thf(7843,plain,
! [SV324: $i] :
( ( ( ~ cP ) = $true )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_neg,[status(thm)],[7280]) ).
thf(7859,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7293]) ).
thf(7864,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7297]) ).
thf(7869,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7301]) ).
thf(7874,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7305]) ).
thf(7889,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7317]) ).
thf(7894,plain,
! [SV41: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7321]) ).
thf(7899,plain,
! [SV340: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7325]) ).
thf(7904,plain,
! [SV341: $i] :
( ( ( ~ cP ) = $false )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[7329]) ).
thf(8083,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7498]) ).
thf(8087,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7503]) ).
thf(8091,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7508]) ).
thf(8095,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7513]) ).
thf(8107,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7528]) ).
thf(8111,plain,
! [SV30: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7533]) ).
thf(8115,plain,
! [SV238: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7538]) ).
thf(8119,plain,
! [SV239: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7543]) ).
thf(8132,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7559]) ).
thf(8136,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7564]) ).
thf(8140,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7569]) ).
thf(8144,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7574]) ).
thf(8156,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7589]) ).
thf(8160,plain,
! [SV33: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7594]) ).
thf(8164,plain,
! [SV255: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7599]) ).
thf(8168,plain,
! [SV256: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7604]) ).
thf(8323,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7798]) ).
thf(8327,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7803]) ).
thf(8331,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7808]) ).
thf(8335,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7813]) ).
thf(8347,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7828]) ).
thf(8351,plain,
! [SV38: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7833]) ).
thf(8355,plain,
! [SV323: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7838]) ).
thf(8359,plain,
! [SV324: $i] :
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $true )
| ( cP = $false )
| ( cP = $false ) ),
inference(extcnf_not_pos,[status(thm)],[7843]) ).
thf(8372,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7859]) ).
thf(8376,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7864]) ).
thf(8380,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7869]) ).
thf(8384,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7874]) ).
thf(8396,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7889]) ).
thf(8400,plain,
! [SV41: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7894]) ).
thf(8404,plain,
! [SV340: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7899]) ).
thf(8408,plain,
! [SV341: $i] :
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $true )
| ( cP = $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[7904]) ).
thf(8909,plain,
( ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_E )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extuni,[status(esa)],[177]) ).
thf(8913,plain,
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK88_E )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK86_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extuni,[status(esa)],[177]) ).
thf(8933,plain,
( ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK101_E )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK99_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extuni,[status(esa)],[179]) ).
thf(8937,plain,
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK104_E )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK102_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extuni,[status(esa)],[179]) ).
thf(9029,plain,
( ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK165_E )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK163_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extuni,[status(esa)],[185]) ).
thf(9033,plain,
( ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK168_E )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK166_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extuni,[status(esa)],[185]) ).
thf(9053,plain,
( ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK181_E )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK179_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extuni,[status(esa)],[187]) ).
thf(9057,plain,
( ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK184_E )
= $true )
| ( ( ~ ( ~ cP
| ~ ~ cP ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK182_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extuni,[status(esa)],[187]) ).
thf(9109,plain,
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK218_E )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK218_E )
= $true )
| ( cP = $false ) ),
inference(extuni,[status(esa)],[195]) ).
thf(9110,plain,
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK218_E )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK218_E )
= $false )
| ( cP = $false ) ),
inference(extuni,[status(esa)],[195]) ).
thf(9111,plain,
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK219_E )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK219_E )
= $true )
| ( cP = $true ) ),
inference(extuni,[status(esa)],[196]) ).
thf(9112,plain,
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK219_E )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK219_E )
= $false )
| ( cP = $true ) ),
inference(extuni,[status(esa)],[196]) ).
thf(9150,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK88_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK86_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8913]) ).
thf(9154,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8909]) ).
thf(9170,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK104_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK102_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8937]) ).
thf(9174,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK101_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK99_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8933]) ).
thf(9250,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK168_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK166_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9033]) ).
thf(9254,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK165_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK163_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9029]) ).
thf(9270,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK184_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK182_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9057]) ).
thf(9274,plain,
( ( ( ~ cP
| ~ ~ cP )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK181_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK179_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9053]) ).
thf(9355,plain,
( ( ( ~ ~ cP )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK88_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK86_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[9150]) ).
thf(9361,plain,
( ( ( ~ ~ cP )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[9154]) ).
thf(9378,plain,
( ( ( ~ cP ) = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK104_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK102_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[9170]) ).
thf(9384,plain,
( ( ( ~ cP ) = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK101_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK99_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[9174]) ).
thf(9475,plain,
( ( ( ~ ~ cP )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK168_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK166_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[9250]) ).
thf(9481,plain,
( ( ( ~ ~ cP )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK165_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK163_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[9254]) ).
thf(9498,plain,
( ( ( ~ cP ) = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK184_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK182_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[9270]) ).
thf(9504,plain,
( ( ( ~ cP ) = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK181_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK179_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[9274]) ).
thf(9595,plain,
( ( ( ~ cP ) = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK88_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK86_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9355]) ).
thf(9601,plain,
( ( ( ~ cP ) = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9361]) ).
thf(9618,plain,
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK104_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK102_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9378]) ).
thf(9624,plain,
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK101_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK99_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9384]) ).
thf(9715,plain,
( ( ( ~ cP ) = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK168_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK166_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9475]) ).
thf(9721,plain,
( ( ( ~ cP ) = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK165_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK163_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9481]) ).
thf(9738,plain,
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK184_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK182_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9498]) ).
thf(9744,plain,
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK181_E )
= $true )
| ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK179_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9504]) ).
thf(9846,plain,
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK88_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK86_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9595]) ).
thf(9853,plain,
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9601]) ).
thf(9875,plain,
( ( ( ~ cP ) = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK102_E )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK104_E )
= $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9618]) ).
thf(9882,plain,
( ( ( ~ cP ) = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK99_E )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK101_E )
= $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9624]) ).
thf(9996,plain,
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK168_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK166_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9715]) ).
thf(10003,plain,
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK165_E )
= $true )
| ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK163_E )
= $false )
| ( ( cP
| ~ cP )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9721]) ).
thf(10025,plain,
( ( ( ~ cP ) = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK182_E )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK184_E )
= $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9738]) ).
thf(10032,plain,
( ( ( ~ cP ) = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK179_E )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK181_E )
= $true )
| ( cP = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9744]) ).
thf(10145,plain,
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK86_E )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK88_E )
= $true )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[9846]) ).
thf(10152,plain,
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_E )
= $true )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[9853]) ).
thf(10174,plain,
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK102_E )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK104_E )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9875]) ).
thf(10181,plain,
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK99_E )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK101_E )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9882]) ).
thf(10295,plain,
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK166_E )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK168_E )
= $true )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[9996]) ).
thf(10302,plain,
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK163_E )
= $false )
| ( cP = $false )
| ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK165_E )
= $true )
| ( cP = $false ) ),
inference(extcnf_or_neg,[status(thm)],[10003]) ).
thf(10324,plain,
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK182_E )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK184_E )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10025]) ).
thf(10331,plain,
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK179_E )
= $false )
| ( cP = $true )
| ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK181_E )
= $true )
| ( cP = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10032]) ).
thf(10697,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true ) ),
inference(sim,[status(thm)],[4718]) ).
thf(10698,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false ) ),
inference(sim,[status(thm)],[8083]) ).
thf(10699,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true ) ),
inference(sim,[status(thm)],[8087]) ).
thf(10700,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true ) ),
inference(sim,[status(thm)],[4723]) ).
thf(10701,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false ) ),
inference(sim,[status(thm)],[8091]) ).
thf(10702,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true ) ),
inference(sim,[status(thm)],[8095]) ).
thf(10703,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true ) ),
inference(sim,[status(thm)],[5708]) ).
thf(10704,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false ) ),
inference(sim,[status(thm)],[5707]) ).
thf(10705,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true ) ),
inference(sim,[status(thm)],[8107]) ).
thf(10706,plain,
! [SV30: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV30 )
= $true ) ),
inference(sim,[status(thm)],[8111]) ).
thf(10707,plain,
! [SV231: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV231 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV231 )
= $true ) ),
inference(sim,[status(thm)],[5730]) ).
thf(10708,plain,
! [SV231: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV231 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV231 )
= $false ) ),
inference(sim,[status(thm)],[5729]) ).
thf(10709,plain,
! [SV238: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV238 )
= $true ) ),
inference(sim,[status(thm)],[8115]) ).
thf(10710,plain,
! [SV239: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV239 )
= $true ) ),
inference(sim,[status(thm)],[8119]) ).
thf(10711,plain,
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK86_E )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK88_E )
= $true ) ),
inference(sim,[status(thm)],[10145]) ).
thf(10712,plain,
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_E )
= $true ) ),
inference(sim,[status(thm)],[10152]) ).
thf(10713,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true ) ),
inference(sim,[status(thm)],[4742]) ).
thf(10714,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false ) ),
inference(sim,[status(thm)],[8132]) ).
thf(10715,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true ) ),
inference(sim,[status(thm)],[8136]) ).
thf(10716,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true ) ),
inference(sim,[status(thm)],[4747]) ).
thf(10717,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false ) ),
inference(sim,[status(thm)],[8140]) ).
thf(10718,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true ) ),
inference(sim,[status(thm)],[8144]) ).
thf(10719,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true ) ),
inference(sim,[status(thm)],[5772]) ).
thf(10720,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false ) ),
inference(sim,[status(thm)],[5771]) ).
thf(10721,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true ) ),
inference(sim,[status(thm)],[8156]) ).
thf(10722,plain,
! [SV33: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV33 )
= $true ) ),
inference(sim,[status(thm)],[8160]) ).
thf(10723,plain,
! [SV250: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV250 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV250 )
= $true ) ),
inference(sim,[status(thm)],[5794]) ).
thf(10724,plain,
! [SV250: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV250 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV250 )
= $false ) ),
inference(sim,[status(thm)],[5793]) ).
thf(10725,plain,
! [SV255: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV255 )
= $true ) ),
inference(sim,[status(thm)],[8164]) ).
thf(10726,plain,
! [SV256: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV256 )
= $true ) ),
inference(sim,[status(thm)],[8168]) ).
thf(10727,plain,
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK102_E )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK104_E )
= $true ) ),
inference(sim,[status(thm)],[10174]) ).
thf(10728,plain,
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK99_E )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK101_E )
= $true ) ),
inference(sim,[status(thm)],[10181]) ).
thf(10729,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true ) ),
inference(sim,[status(thm)],[4842]) ).
thf(10730,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false ) ),
inference(sim,[status(thm)],[8323]) ).
thf(10731,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true ) ),
inference(sim,[status(thm)],[8327]) ).
thf(10732,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true ) ),
inference(sim,[status(thm)],[4847]) ).
thf(10733,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false ) ),
inference(sim,[status(thm)],[8331]) ).
thf(10734,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true ) ),
inference(sim,[status(thm)],[8335]) ).
thf(10735,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true ) ),
inference(sim,[status(thm)],[6008]) ).
thf(10736,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false ) ),
inference(sim,[status(thm)],[6007]) ).
thf(10737,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true ) ),
inference(sim,[status(thm)],[8347]) ).
thf(10738,plain,
! [SV38: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV38 )
= $true ) ),
inference(sim,[status(thm)],[8351]) ).
thf(10739,plain,
! [SV316: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV316 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV316 )
= $true ) ),
inference(sim,[status(thm)],[6030]) ).
thf(10740,plain,
! [SV316: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV316 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV316 )
= $false ) ),
inference(sim,[status(thm)],[6029]) ).
thf(10741,plain,
! [SV323: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV323 )
= $true ) ),
inference(sim,[status(thm)],[8355]) ).
thf(10742,plain,
! [SV324: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV324 )
= $true ) ),
inference(sim,[status(thm)],[8359]) ).
thf(10743,plain,
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK166_E )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK168_E )
= $true ) ),
inference(sim,[status(thm)],[10295]) ).
thf(10744,plain,
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK163_E )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK165_E )
= $true ) ),
inference(sim,[status(thm)],[10302]) ).
thf(10745,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true ) ),
inference(sim,[status(thm)],[4866]) ).
thf(10746,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false ) ),
inference(sim,[status(thm)],[8372]) ).
thf(10747,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true ) ),
inference(sim,[status(thm)],[8376]) ).
thf(10748,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true ) ),
inference(sim,[status(thm)],[4871]) ).
thf(10749,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false ) ),
inference(sim,[status(thm)],[8380]) ).
thf(10750,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true ) ),
inference(sim,[status(thm)],[8384]) ).
thf(10751,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true ) ),
inference(sim,[status(thm)],[6072]) ).
thf(10752,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false ) ),
inference(sim,[status(thm)],[6071]) ).
thf(10753,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true ) ),
inference(sim,[status(thm)],[8396]) ).
thf(10754,plain,
! [SV41: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV41 )
= $true ) ),
inference(sim,[status(thm)],[8400]) ).
thf(10755,plain,
! [SV335: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV335 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV335 )
= $true ) ),
inference(sim,[status(thm)],[6094]) ).
thf(10756,plain,
! [SV335: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV335 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV335 )
= $false ) ),
inference(sim,[status(thm)],[6093]) ).
thf(10757,plain,
! [SV340: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV340 )
= $true ) ),
inference(sim,[status(thm)],[8404]) ).
thf(10758,plain,
! [SV341: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV341 )
= $true ) ),
inference(sim,[status(thm)],[8408]) ).
thf(10759,plain,
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK182_E )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK184_E )
= $true ) ),
inference(sim,[status(thm)],[10324]) ).
thf(10760,plain,
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK179_E )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK181_E )
= $true ) ),
inference(sim,[status(thm)],[10331]) ).
thf(10761,plain,
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true ) ),
inference(sim,[status(thm)],[378]) ).
thf(10762,plain,
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true ) ),
inference(sim,[status(thm)],[379]) ).
thf(10763,plain,
( ( cP = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false ) ),
inference(sim,[status(thm)],[517]) ).
thf(10764,plain,
( ( cP = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false ) ),
inference(sim,[status(thm)],[518]) ).
thf(10765,plain,
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK218_E )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK218_E )
= $false ) ),
inference(sim,[status(thm)],[9110]) ).
thf(10766,plain,
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK218_E )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK218_E )
= $true ) ),
inference(sim,[status(thm)],[9109]) ).
thf(10767,plain,
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK219_E )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK219_E )
= $false ) ),
inference(sim,[status(thm)],[9112]) ).
thf(10768,plain,
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK219_E )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK219_E )
= $true ) ),
inference(sim,[status(thm)],[9111]) ).
thf(10769,plain,
! [SV12: $i] :
( ( cP = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true ) ),
inference(sim,[status(thm)],[166]) ).
thf(10770,plain,
! [SV12: $i] :
( ( cP = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true ) ),
inference(sim,[status(thm)],[167]) ).
thf(10771,plain,
! [SV14: $i] :
( ( cP = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true ) ),
inference(sim,[status(thm)],[170]) ).
thf(10772,plain,
! [SV14: $i] :
( ( cP = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true ) ),
inference(sim,[status(thm)],[171]) ).
thf(10773,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,10772,10771,10770,10769,10768,10767,10766,10765,10764,10763,10762,10761,10760,10759,10758,10757,10756,10755,10754,10753,10752,10751,10750,10749,10748,10747,10746,10745,10744,10743,10742,10741,10740,10739,10738,10737,10736,10735,10734,10733,10732,10731,10730,10729,10728,10727,10726,10725,10724,10723,10722,10721,10720,10719,10718,10717,10716,10715,10714,10713,10712,10711,10710,10709,10708,10707,10706,10705,10704,10703,10702,10701,10700,10699,10698,10697,37,35,33,31,30]) ).
thf(10774,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[10773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV084^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n005.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 15:40:59 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.91/2.06
% 10.91/2.06 No.of.Axioms: 0
% 10.91/2.06
% 10.91/2.06 Length.of.Defs: 0
% 10.91/2.06
% 10.91/2.06 Contains.Choice.Funs: false
% 10.91/2.06 ..........................................................................................................................................
% 10.91/2.06
% 10.91/2.06 ********************************
% 10.91/2.06 * All subproblems solved! *
% 10.91/2.06 ********************************
% 10.91/2.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:10773,loop_count:0,foatp_calls:2,translation:fof_full)
% 10.91/2.06
% 10.91/2.06 %**** Beginning of derivation protocol ****
% 10.91/2.06 % SZS output start CNFRefutation
% See solution above
% 10.91/2.06
% 10.91/2.06 %**** End of derivation protocol ****
% 10.91/2.06 %**** no. of clauses in derivation: 829 ****
% 10.91/2.06 %**** clause counter: 10773 ****
% 10.91/2.06
% 10.91/2.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:10773,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------